Answer:
In the account that paid 3% Ramon put [tex]\$800[/tex]
In the account that paid 6% Ramon put [tex]\$1,600[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
[tex]P(rt)=Pa(rat)+Pb(rbt)[/tex]
in this problem we have
[tex]t=t\ years\\ P=\$2,400\\ Pa=\$x\\ Pb=\$(2,400-x)\\r=0.05\\ra=0.03\\rb=0.06[/tex]
substitute
[tex]2,400(0.05t)=x(0.03t)+(2,400-x)(0.06t)[/tex]
solver for x
Simplify
[tex]2,400(0.05)=x(0.03)+(2,400-x)(0.06)[/tex]
[tex]120=0.03x+144-0.06x[/tex]
[tex]0.03x=24[/tex]
[tex]x=\$800[/tex]
therefore
In the account that paid 3% Ramon put [tex]\$800[/tex]
In the account that paid 6% Ramon put [tex]\$2,400-\$800=\$1,600[/tex]
To solve this problem, we set up an equation representing the total interest earned from the two different bank accounts. After doing a bit of algebra, we find that Ramon put $1200 into each account.
Explanation:This question falls into the category of the linear system in mathematics which deals with simple interest calculations. The total amount invested by Ramon is $2400 and we don't know how it was distributed into the two accounts, so we can name the amount in the account with 3% interest x and the other with the 6% interest 2400-x, as the total should be $2400.
We know the total interest earned was 5% of the whole sum, so we can set up the equation:
0.03x + 0.06(2400 - x) = 2400 * 0.05.
Solving the equation, we find that x, the amount in the first account, is $1200 and therefore, $1200 must have been put into the second account.
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Solve the system of equations. 4x + 2y = –14 6x + 3y = –22 (0, –7), (–1, –6), no solutions, infinitely many solutions. Plz and Thank You
Answer:
no solutions
Step-by-step explanation:
4x + 2y = –14
6x + 3y = –22
Divide the first equation by 2 and the second equation by 3
4x/2 + 2y/2 = –14/2 2x +y = -7
6x/3 + 3y/3 = –22/3 2x + y = -22/3
The left hand sides are the same but the right hand sides are different.
Multiply the second equation by -1
2x+y = -7
-2x -y = 22/3
-------------------
0 = -7+22/3
0 = 1/3
This is never true, so there are no solutions
Answer:
B, No Solutions
Step-by-step explanation:
What is the result of subtracting in the division
problem shown below?
- 2x + 3
3x2 - 4x - 26x3 + x2 - 10x-1
6x3 - 8x2 - 4x
0 -7x2 - 14x
0 -7x2 - 6x
o 9x2 - 14x
O 9x2 - 6x
COM
Answer:
The correct answer is [tex]9x^{2}-6x[/tex].
Step-by-step explanation:
Consider the provided division:
We need to perform the subtraction in the division:
[tex]6x^{3}+x^{2}-10x[/tex] ......(1)
[tex]6x^{3}-8x^{2}-4x[/tex] ......(2)
In order to perform the subtraction simply change the sign of the second expression.
[tex]6x^{3}+x^{2}-10x[/tex]
[tex]-6x^{3}+8x^{2}+4x[/tex]
----------------------------------------
[tex]9x^{2}-6x[/tex]
Therefore, the correct answer is [tex]9x^{2}-6x[/tex].
Answer:
Step-by-step explanation:
21. Mahina measured the diameter of a circle to be 6.5 inches. What is the circumference of that circle to the
nearest inch?
A. 39 in
B. 40 in
C. 20 in
D. 36 in
Answer:
20 inch
Step-by-step explanation:
Diameter, D = 6.5in
Circumference
= π x D
= 3.142 x 6.5
= 20.42
= 20 in (rounded to nearest in)
Solve the system of equations. 2x+2y+3z=5, 6x+3y+6z=6 and 3x+4y+4z=9
Answer:
it's d or the fourth option
Step-by-step explanation:
The circle below is centered at (3 1) and has a radius of 2 what is its equation
Answer:
(x-3)^2 + (y-1)^2 = 4
Step-by-step explanation:
The equation of a circle is usually written in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
The center is at the origin so (h,k) = (3,1) and the radius is 2 so r=2
(x-3)^2 + (y-1)^2 = 2^2
(x-3)^2 + (y-1)^2 = 4
Which graph represents 2x-5y< 15
Answer:
Step-by-step explanation:
Rewrite 2x-5y< 15 as follows: Add 5y to both sides. Then 2x < 15 + 5y.
Next, subtract 15 from both sides: 2x - 15 < 5y.
Finally, divide all terms by 5: (2/5)x - 3 < y
Now find the y-intercept of this line. Let x = 0. Then y = -3. Plot (0, -3) on graph paper. Now, starting at (0, -3), move your pencil point 5 spaces to the right and 2 spaces up. Plot this new point, (5, -1). Now draw a dashed line through both (0, -3) and (5, -1). Shade the area ABOVE this dashed line.
Answer:
is op 4 (-3,7)
Step-by-step explanation:
An organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.
What does the margin of error imply?
Answer:C.It can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."
Step-by-step explanation:
The margin of error implies that 81% to 85% of all employees will judge the vacation policy as "delightful" with 95% confidence.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
Given that the organization polled a random sample of its employees regarding their new vacation policy.
Now, 83% of the workers polled assessed the vacation policy as "delightful," with a margin of error of ±2% and a confidence interval of 95%, implying that 81% to 85% of all employees will judge the vacation policy as "delightful" with 95% confidence.
Hence, the margin of error implies that 81% to 85% of all employees will judge the vacation policy as "delightful" with 95% confidence.
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Sharon wants to sit in the back seat of the bus on the trip to the zoo. The back seat is the full width of the bus and seats five students. If Sharon selects her place on the seat at random, what is the probability that she will sit at either end by a window?
The probability that she will sit at either end by a window is 2/5 or 0.4.
Explanation:To solve this problem, we first need to determine the total number of places Sharon could sit and then identify which of those places meet the condition of being at either end by a window.
Since the back seat is the full width of the bus and seats five students, there are a total of 5 different places Sharon could choose to sit.
Now we need to identify the places that are at either end by a window. Since it's the back seat of the bus, there would typically be a window at the far left and the far right of the seat.
So, there are two seats that meet our condition:
- One on the far left
- One on the far right
This means out of the 5 available places, there are 2 places that fulfill the condition of Sharon sitting by a window at either end of the back seat.
The probability P that Sharon will sit by a window at either end is therefore the number of favorable outcomes (sitting by a window at either end) divided by the total number of possible outcomes (any of the 5 seats).
P = (Number of favorable outcomes) / (Total number of possible outcomes)
P = 2 / 5
Therefore, the probability that Sharon will sit at either end by a window is 2/5 or 0.4 (if expressed as a decimal).
HELPS ME PASS THIS YEAR. will give brainliest happily
1.
What is the mean absolute deviation for 7, 5, 1, 6, 2, and 3? (5 points)
6
3
2
1
2.
The histogram shows the number of prizes won by different numbers of students at a quiz competition. Which of the following statements is correct regarding the number of students and the number of prizes won? (look at picture)
A total of 10 students won all the prizes.
Four students won 12, 13, 14, 15, 16, or 17 prizes.
A total of 10 prizes were won by all the students.
Four prizes were won by 12, 13, 14, 15, 16, or 17 students.
3.
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
(second picture)
40
60
70
80
Have great summer yall
Answer:
Step-by-step explanation:
1.) mean is 4 1,2,3,5,6,7
2.) Four students won 12, 13, 14, 15, 16, or 17 prizes.
A total of 10 prizes were won by all the students.
3.)don't know number 3
the answer for 2 is B because 4 students won 12-17 prizes. They just word it 12,13,14,15,16 or 17.
Solve: 2 In 3 = In(x-4)
[tex]\bf \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf 2\ln(3)=\ln(x-4)\implies \ln(3^2)=\ln(x-4)\implies \ln(9)=\ln(x-4) \\\\\\ \log_e(9)=\log_e(x-4)\implies e^{\log_e(9)}=e^{\log_e(x-4)}\implies 9=x-4\implies \boxed{13=x}[/tex]
help simplify please choose the correct answer~!!!!!
Answer:
A
Step-by-step explanation:
Given
-4x²(5[tex]x^{4}[/tex] - 3x² + x - 2)
Multiply each term in the parenthesis by - 4x²
= - 20[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex] - 4x³ + 8x²
Answer:
A
Step-by-step explanation:
PLEASE HELP ME!!! I don’t understand
Answer:
√6 + √2
= --------------
4
Step-by-step explanation:
15° = 45° - 30°
So
cos(15) = cos(45 - 30)
=cos(45) × cos(30) + sin(45) × sin(30)
= 1/√2 × (√3)/2 + 1/√2 × 1/2
(√3) + 1
= --------------
2√2
(√3) + 1 √2
= -------------- x ---------
2√2 √2
√6 + √2
= --------------
4
Answer:
see explanation
Step-by-step explanation:
Using the addition formula for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
and exact values
sin45° = cos45° = [tex]\frac{\sqrt{2} }{2}[/tex]
c0s30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex]
Express cos15° = cos(45 - 30 )°, then
cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] + ( [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex] ← exact value
A runner can run at 7.5 miles per hour. Write an equation that compares the time (t) with the distance (d).
Answer:
d = 7.5t
Step-by-step explanation:
t = time
d= distance
you want to write an equation that compares time with distance.
in the question it says per hour whoch means 7.5 miles have been ran each hour. however we dont know how mmany hour lets say tom has ran. therefore, we use t instead. we got d to go behind the = sign because we are comparing. When we multiply 7.5t we are going to get the distance he ran, d.
hope this helps!
Answer:
d=7.5t
Step-by-step explanation:
Simplify [tex]\frac{2\frac{1}{5}-1\frac{1}{2}+1\frac{7}{10} }{\frac{1}{3}of2\frac{2}{5} }[/tex]
Without graphing, identify the quadrant in which the point (x, y) lies if x < 0 and y < 0.
Answer:
B.
Step-by-step explanation:
Answer:
II
Step-by-step explanation:
(07.09) Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is c(p) = 0.85p, where p is the original price of the car. He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is f(c) = 1.09c, where c is the sale price of the car. Determine the composite function that can be used to calculate the final price of Jonah's car by solving for f[c(p)]. (1 point) f[c(p)] = 0.9265cp f[c(p)] = 0.9265p f[c(p)] = 1.94cp f[c(p)] = 1.94p
Answer:
Answer: f[c(p)] = 0.9265p
Step-by-step explanation:
Given: Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is , where p is the original price of the car.
He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is , where c is the sale price of the car.
Now, the composite function that can be used to calculate the final price of Jonah's car is given by :-
Answer:
f[c(p)] = 0.9265p
Step-by-step explanation:
c(p) = 0.85p
f(c) = 1.09c
f[c(p)] = f[0.85p] = 1.09(0.85p) = 0.9265p
Answer: f[c(p)] = 0.9265p
Name the types of angles shown
Answer:
A
Step-by-step explanation:
Answer:
staight angle and supplementary angle
Step-by-step explanation:
PLEASE HELP!!! I'll give you the brainliest! a random sample of 3000 people was chosen for a survey. 47% of them had children under 18 living at home. find the 95% confidence interval - see picture
Answer: 0.4521 - 0.4879
Step-by-step explanation:
1) Find the standard deviation with the given information:
n=3000
p=47% ⇒ 0.47
1-p= 1 - 0.47 = 0.53
[tex]\sigma =\sqrt{\dfrac{p(1-p)}{n}}\\\\\\.\ =\sqrt{\dfrac{0.47(0.53)}{3000}}\\\\\\.\ =\sqrt{\dfrac{0.2491}{3000}}\\\\\\.\ =\sqrt{0.00008303}\\\\\\.\ =0.009112[/tex]
2) Find the margin of error (ME) with the given information:
C=95% ⇒ Z = 1.960
σ=0.009112
ME = Z × σ
= 1.96 (0.009112)
= 0.01786
3) Find the confidence interval with the given information:
p = 0.47
ME = 0.01786
CI = p ± ME
= 0.47 ± 0.01786
= (0.4521, 0.4879)
Which are the solutions to the inequality (x-3)(x+5)<_0
Answer:
[ - 5, 3 ]
Step-by-step explanation:
Solve (x - 3)(x + 5) = 0
The zeros are x = - 5 and x = 3
These divide the domain into 3 intervals
(- ∞, - 5 ], [- 5, 3 ], [ 3, + ∞ )
Choose a test point in each interval and consider the sign of the result.
x = - 10 : (- 10 - 3)(- 10 + 5) = (- 13)(- 5) = 65 > 0
x = 0 : (0 - 3)(0 + 5) = (- 3)(5) = - 15 < 0 ← required result
x = 5 : (5 - 3)(5 + 5) = (2)(10) = 20 > 0
The solution is [ - 5, 3 ] or - 5 ≤ x ≤ 3
Answer:
B
Step-by-step explanation:
Right on edge 2021
HELP!! what is the value of x in this figure?
5
[tex]5 \sqrt{2} [/tex]
[tex]5 \sqrt{3} [/tex]
[tex] \frac{10 \sqrt{3} }{3} [/tex]
Check the picture below.
Also check your Unit Circle for the cosine of 30°, if you don't have a Unit Circle yet, this is a good time to get one, you'll need it, you can find many online.
Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If the pyramid was full of water, how much of the prism would it fill up? Name another pair of three-dimensional objects that have a relationship similar to this.
Answer:
Part 1) The volume of the prism is 3 times greater than the volume of the pyramid
Part 2) The prism would fill only one-third
Part 3) The cylinder and the cone
Step-by-step explanation:
Part 1) How do their volumes compare?
we know that
The volume of a rectangular prism is equal to
[tex]Vprism=BH[/tex]
where
B is the area of the base of rectangular prism
H is the height of the prism
The volume of a rectangular pyramid is equal to
[tex]Vpyramid=\frac{1}{3}BH[/tex]
where
B is the area of the base of rectangular pyramid
H is the height of the pyramid
Compare the volumes
[tex]Vprism=BH[/tex] -----> equation A
[tex]Vpyramid=\frac{1}{3}BH[/tex] -----> equation B
substitute equation A in equation B
[tex]Vpyramid=\frac{1}{3}Vprism[/tex]
[tex]Vprism=(3)Vpyramid[/tex]
The volume of the prism is 3 times greater than the volume of the pyramid
Part 2) If the pyramid was full of water, how much of the prism would it fill up?
Remember that
[tex]Vpyramid=\frac{1}{3}Vprism[/tex]
therefore
The prism would fill only one-third
Part 3) Name another pair of three-dimensional objects that have a relationship similar to this
we have the cylinder and the cone
The volume of the cylinder is equal to
[tex]Vcylinder=\pi r^{2}h[/tex]
The volume of the cone is equal to
[tex]Vcone=\frac{1}{3}\pi r^{2}h[/tex]
Compare the volumes
[tex]Vcylinder=(3)Vcone[/tex]
The volume of the cylinder is 3 times greater than the volume of the cone
The volume of the pyramid is one-third of the volume of the rectangular prism with the same base and height. Therefore, if the pyramid was full of water, it would fill one-third of the prism. Cones and cylinders with the same base and height have a similar volume relationship.
Explanation:When comparing the volumes of a rectangular pyramid and a rectangular prism that have the same base and the same height, the volume of the pyramid is exactly one-third the volume of the prism. This is because the volume of the prism is calculated by length × width × height, while the volume of the pyramid is ⅓ x (base area) x height, which is ⅓ x (length × width) x height.
If the pyramid was full of water, it would fill up exactly one-third of the prism. This corresponds to the geometric rule that says the volume of a pyramid is one-third the volume of a prism with the same base and height.
Another pair of three-dimensional objects with a similar relationship is a cone and a cylinder. Like the pyramid and prism, if the cone and cylinder have the same base and height, the cone's volume is one-third of the cylinder's volume.
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If A = {(x, y)|x + 2y = 7}, is Set A a function?
===============================================
Here are some reasons why
We can solve x+2y = 7 for y to get y = -0.5x+3.5; this equation is in slope intercept form y = mx+b. All equations in the form y = mx+b are linear and also a function.For any input x, there is exactly only one y value that pairs with it.The vertical line test can be used to effectively verify item #2 above. The idea is that it is impossible to draw a vertical line through more than one point on the graph. So it is said to pass the vertical line test.write each improper fraction as a mixed number. 9/4. 8/3. 23/6. 11/2. 17/5. 15/8. 33/10. 29/12.
Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):
9/4 - 2.25 - 2 4/18/3 - 2.67 - 2 2/323/6 - 3.83 - 3 5/611/2 - 5.5 - 5 1/217/5 - 3.4 - 3 2/515/8 - 1.875 - 1 7/833/10 - 3.3 - 3 3/1029/12 - 2.416 - 2 5/12I hope that this info helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)
Answer:
In order; 2 1/4, 2 2/3, 3 5/6, 5 1/2, 3 2/5, 1 7/8, 3 3/10, 2 5/12
Step-by-step explanation:
The way mixed numbers work is how many times (improper fraction) the denominator can go into the numerator.
For example, in the improper fraction 9/4, 4 can go into 9 twice making the whole number a 2, then you get whatever is left and leave it as the fraction; there is 1/4 left making making the mixed number 2 1/4. Use this rule to apply to all the improper fractions.
MARKING BRAINLIEST!
Given that DMKT → FCBN, what is m B?
Answer:
79°
Step-by-step explanation:
given both figures are congruent, and one is simply a rotation of another
m∠B corresponds to m∠k = 79°
Answer:
Given that DMKT → FCBN, B is 79°
Step-by-step explanation:
m∠D = m∠F, m∠M = m∠C, m∠K = m∠B and m∠T = m∠N
m∠K = 79° therefore m∠B = 79°.
Please mark brainliest and have a great day!
2. Solve the equation by completing the square. Show your work.
x^2-30x=-125
Step 1: add (b)^2
—
2
To both sides of the equation.
Step2: factor the left side of the equation. Show your work.
Step 3: take the square root of both sides of the equation from step2.
Step 4: simplify the radical and solve for x. Show your work.
35 points!!! to whoever help me this. Thank you very much
Answer:
x = 5 or 25
Step-by-step explanation:
I think the method I am about to explain is slightly quicker and easier than the method in your question. This works for any 'complete the square' question.
We begin with x² - 30x = - 125.
First, we are going to factorise the left-hand side of the equation by dividing the 'b' value (-30) by 2 (you'll see why this works in a minute):
(x - 15)²
We want these brackets to multiply out to give x² - 30x, so that they equal the left-hand side of the equation. Unfortunately, if we multiply them out, we get:
(x - 15)(x - 15) =
x² - 30x + 225
There is an unwanted term (the + 225, from 15²)! We only want x² - 30x, so we have to remove this term by subtracting it from the left side of the equation. To do this, let's set up the original equation again:
(x² - 30x + 225) - 225 = - 125
Note: The reason why we don't have to subtract it from both sides is because the original equation is x² - 30x = - 125, and so we must make sure the left hand side is still equal to x² - 30x.
So now we know that (x - 15)² multiplies out to give x² - 30x +225, we can write this as (x - 15)² in our equation:
(x² - 30x + 225) - 225 = - 125
is the same as:
(x - 15)² - 225 = - 125
Now add 225 to both sides of the equation:
(x - 15)² = - 125 + 225 = 100
(x -15)² = 100
The next step is to square root both sides. Be careful here, and remember that √100 can either be 10 or -10, as (-10)² = 100. To indicate both results, write ±10 ("plus or minus 10").
√(x - 15)² = √100
x - 15 = ±10
Because, there are two possible values for the right-hand side of the equation, we need to separate our equation into two equations:
1. x - 15 = 10
and
2. x - 15 = -10
Now we solve these two simple linear equations for x:
1. x = 10 + 15 <- add 15 to both sides
x = 25 This is our first solution.
2. x = -10 + 15 <- add 15 to both sides again
x = 5 This is our other solution.
So our two solutions are x = 5 and x = 25!
I have attached the quick version of the working out for this question - that is what you would be expected to write down in a test.
x = 5 or 25
What is factorization in math?Set up the product of binomials. Write values for the 1st term in each binomial like that the product of the values is = to the 1st term of the expression being factored.Find a product of 2 values that is = to the 3rd term in the expression being factored
We begin with x² - 30x = - 125.
First, we are going to factorise the left-hand side (LHS) of the equation by dividing the 'b' value (-30) by 2 (you'll see why this works in a minute):
(x - 15)²
We need these brackets to multiply out the give x² - 30x, so that they = the left-hand side (LHS) of the equation. Unfortunately, if we multiply them out, we get:
(x - 15)(x - 15) =
x² - 30x + 225
There are an unwanted term (the + 225, from 15²)! We only need x² - 30x, so we have to remove this term by subtracting this from the left side of the equation. To do this, let's set up the original equation again:
(x² - 30x + 225) - 225 = - 125
Note: The reason why we do not have to subtract this from both sides is because original equation is x² - 30x = - 125, and so we must make sure the left hand side is = to x² - 30x.
So now we know that (x - 15)² multiplies out to give x² - 30x +225, we can write this as (x - 15)² in our equation:
(x² - 30x + 225) - 225 = - 125
as the same as:
(x - 15)² - 225 = - 125
Now add 225 to both sides by the equation:
(x - 15)² = - 125 + 225 = 100
(x -15)² = 100
The next step is to square root by both sides. Be careful here, or remember that √100 can either be 10 or -10, as (-10)² = 100. To indicate both results, write ±10 ("plus or minus 10").
√(x - 15)² = √100
x - 15 = ±10
Because, there are 2possible values for the right-hand side of the equation, we need to separate this equation into 2 equations:
1. x - 15 = 10
and
2. x - 15 = -10
Now we have solve these two simple linear equations for x:
1. x = 10 + 15 <- add 15 to both sides
x = 25 This is our first solution.
2. x = -10 + 15 <- add 15 to both sides again
x = 5 This is our other answer.
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Pick a number from the following list 1,2,3,4 write it down if each student in a class of 50 we’re also to pick a number how many would you guess had selected the same number as you did
Answer:
13 students
Step-by-step explanation:
We have a list of four numbers: 1, 2, 3, 4. If 50 persons were to pick a number randomly, it means that the probability of picking any of the numbers is 0.25.
Therefore, from 50 students, 0.25*50 = 12.5 ≈ 13 students aproximately would choose the same number as I did.
Teresa is on her way home in her car. Her drive is 6miles long. She has finished two-thirds of the drive so far. How far has she driven?
Answer:
4 miles
Step-by-step explanation:
6 divided by 3 = 2 = one-third of 6
--> multiply by two to get two thirds of six = 4 miles
Answer:
4 miles
Step-by-step explanation:
GEOMETRY Please help me with this
Answer:
The volume of the triangular prism is [tex]595\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the base
H is the height of the prism
Find the area of the triangular base B
[tex]B=(1/2)bh[/tex]
substitute the given values
[tex]B=(1/2)(14)(17)=119\ units^{2}[/tex]
Find the volume
[tex]V=(119)(5)=595\ units^{3}[/tex]
Maria spent 1/5 of her savings on a storybook. She spent 3/8 of the remaining amount on a comic book. What fraction of her savings was spent on a comic book?
Help please!! What’s the volume of the triangular prism?
Answer:
[tex]\large\boxed{D.\ 168\ units^2}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a prism:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\text{In the base we have the right triangle.}\\\text{The formula of an area of a right triangle:}\ A=\dfrac{ab}{2}\\\\a,b-legs\\\\\text{We have}\ a=6\ \text{and}\ b=8.\ \text{Substitute:}\\\\B=\dfrac{(6)(8)}{2}=\dfrac{48}{2}=24\\\\\text{Calculate the volume:}\\H=7\\\\V=(24)(7)=168\ units^2[/tex]
To find the volume of a triangular prism, we have to multiply the area of the base by the heigh of the prism.
Let's first identify our values:
7 = height of the prism
6 = base of triangle
8 = height of triangle
First, we have to multiply the base of the triangle by the height of the triangle. The base of the triangle is 6 and the height of the triangle is 8. Then, we have to divide it by 2.
6 × 8 = 48
48 ÷ 2 = 24
Finally, we have to multiply 24 by the height of the prism. 24 × 7 = 168
Therefore, the volume of the prism is 168 [tex]units^{2}[/tex]