Answer:
Fraction: 1/250
Decimal: 0.004
Step-by-step explanation:
2/5=0.4 0.4%=0.004 0.004=4/1000=2/500=1/250
Barnes book store was selling 4 books for $21.80 a website was selling 6 books for $32.16 which place has a lower unit price
Answer:
6 book for $32.16
Step-by-step explanation:
Divide 21.80 by 4 and you will get 5.45
5.45 is the price for each book
Divide 32.16 by 6 and you will get 5.36
5.36 is the price for each book
Answer:
The answer would be the 6 books
Step-by-step explanation:
If you do 21.80 divied by 4 you get 5.45.If you go the same with the 6 books and the number of money you get 5.36.
The length of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary legs:28 in. And 15in
Answer:
Step-by-step explanation:
In the absence of a picture, I will have to assume that the two shorter sides of the triangle are given and are 28" and 15" and that the hypotenuse is unknown.
If that's the case, then we use the Pythagorean Theorem to find the length of the hypotenuse:
28² + 15² = hyp², or
784 + 225 = 1009 = hyp²
Taking the square root of both sides, we get
hyp = 31.8 in
Answer:
third side = 31.8 in
Step-by-step explanation:
Given that two sides of the right angle triangle are 28 in and 15 in.
Now we need to find about what is the third side of the right angle triangle.
So apply the formula of Pythagorean theorem.
[tex](Hypotenuse)^2=(Leg_1)^2+(Leg_2)^2[/tex]
[tex](Hypotenuse)^2=(28)^2+(15)^2[/tex]
[tex](Hypotenuse)^2=784+225[/tex]
[tex](Hypotenuse)^2=1009[/tex]
[tex]Hypotenuse=\sqrt{1009}[/tex]
[tex]Hypotenuse=31.7647603485[/tex]
Which is approx 31.8.
Hence Length of the third side = 31.8 in.
Which is the operation to do second based on the order of operations?
4+5×(7−3)
A. Subtract 3 from 7
B. Add 4 to the product of 5 and the difference of 7 and 3
C. Multiply 5 by the difference of 7 and 3
D. Multiply 7 by the sum of 4 and 5
The answer to this is C.
make a table of values for the function rule. then graph the function. y=-x²+4
To graph the function y = -x^2 + 4, calculate a set of (x, y) values for the function, plot these points on a graph, and connect them to form a downward-opening parabola.
Explanation:To make a table of values for the function rule y = -x2 + 4 and then graph the function, we need to choose a range of x values, calculate the corresponding y values and plot these points on a graph.
Here's a possible table of values:
x = -2, y = -(-2)2 + 4 = -4 + 4 = 0x = -1, y = -(-1)2 + 4 = -1 + 4 = 3x = 0, y = -(0)2 + 4 = 4x = 1, y = -(1)2 + 4 = -1 + 4 = 3x = 2, y = -(2)2 + 4 = -4 + 4 = 0After calculating the values, we plot the points (-2, 0), (-1, 3), (0, 4), (1, 3), and (2, 0) on a graph and draw a curve through these points to visualize the parabola represented by the equation y = -x2 + 4. The graph will be a downward-opening parabola with its vertex at (0, 4).
The quadratic formula gives which roots for the equation 2x^2+7x=-2
answer: x= -(7+√33)/4 , x=-(7-√33)/4
The roots of the given equation should be [tex]x= -(7+\sqrt 33)\div 4 , x=-(7-\sqrt 33)\div 4[/tex]
Given information:The equation is [tex]2x^2+7x=-2[/tex]
Calculation of roots:[tex]2x^2 + 7x + 2 = 0\\\\x = [-7 \pm \sqrt (7^2 - 4\times 2\times 2)] \div 2\times 2\\\\x = -7\div 4 \pm \sqrt (33) \div 4\\\\= (-7 \pm \sqrt33) \div 4[/tex]
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A bag contains tiles with the numbers 1 through 9 on them. Tiles were drawn 65 times. The two tile was drawn 6 times, the four tile was drawn 10 times, the six tile was drawn 14 times, and the eight tile was drawn 3 times. What is the experimental probability of drawing an even number?
Answer:
33/65
Step-by-step explanation:
We know that there was a # of even numbers drawn = to 6+10+14+3, which equals 33.
This means, in 65 trials, 33 had even outcomes. This means the experimental probability is 33/65 or approximately 51% (the most precise I could get is 33/65= 0.50769230769)
what is the slope intercept form of a line that is perpendicular to y = x + 3 and passes through point (2, -4)
Answer:
The equation of the perpendicular line is y = -x - 2
Step-by-step explanation:
* Lets revise the form of the slope intercept for
- The slope intercept form is y = mx + b, where m is the slope of
the line and b is the y-intercept
* Now lets revise the relation between the slopes of the
perpendicular lines
- If two lines are perpendicular, then the product of their slopes is -1
# Ex: If line L has slope m1 and line K has slope m2, and L ⊥ K
∴ m1 × m2 = -1
∴ m2 = -1/m1
* Now lets solve the problem
- We need to find the equation of the line which is perpendicular to
the line whose equation is y = x + 3 and passes through point (2 , -4)
- Find the slope of the given equation
∵ y = x + 3
- In this form the slope is the coefficient of x
∴ m = 1
- Find the slope of the perpendicular line
∵ The slope of the perpendicular line = -1/m
∴ The slope of it = -1/1 = -1
- Write the equation of the line with the value of the slope
∴ y = -x + b
- To find the value of b substitute x , y in the equation by the x and
y of the given point
∵ The line passes through point (2 , -4)
∵ y = -x + b
∴ -4 = -1(2) + b
∴ -4 = -2 + b ⇒ add 2 for both sides
∴ b = -2
- Write the equation with the value of b
∴ y = -x - 2
If point A is located at (-7,5) and is rotated around 270 clockwise about the origin, then point A' is located at...
a. (5,7)
b. (-5,-7)
c. (5,7)
d. (7,5)
e. (-7,-5)
Answer:
B.(-5,-7)
Step-by-step explanation:
According to the rule of rotation if you were to have a 270* clockwise you would first switch the x and y values. Ex: (-7,5) -> (5,-7). next you would make the original y coordinate a negative. (5,-7) -> (-5,-7).
Why do people save more when the Federal Bank sets a high interest rate on deposits? A. Spending on nonessential items decreases. B. Interest on savings can be earned. C. Financial institutions insist on a minimum balance. D. The unemployment rate goes down.
Answer: b
Step-by-step explanation:
A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 grams per cm^3, what is the mass of the pipe to the nearest gram?
Answer:
The mass of the pipe is [tex]465\ g[/tex]
Step-by-step explanation:
step 1
Find the volume of the steel pipe
The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe
so
[tex]V=\pi [r2^{2}-r1^{2}]L[/tex]
we have
[tex]r2=2/2=1\ cm[/tex] ---> the radius is half the diameter
[tex]r1=1.8/2=0.9\ cm[/tex] ---> the radius is half the diameter
[tex]L=100\ cm[/tex]
[tex]\pi=3.14[/tex]
substitute
[tex]V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}[/tex]
step 2
Find the mass
The mass is equal to the density multiplied by the volume
so
[tex]m=7.8(59.66)=465\ g[/tex]
Answer:
466
Step-by-step explanation:
Round 3.75 to the tenths place
Answer:3.8
Step-by-step explanation: 5 or up you round up so you round up so it is 3.8
Answer:
3.8
Step-by-step explanation:
if the hundredth place is 5 or greater then turn the tenth place to 8 so 3.8
Maroon 5 just returned from a 3 city tour where they played to at least 180,000 people. if in Chicago they had an audience of 68,000 and Milwaukee had an audience of 53,000, how many attended the show in Minneapolis?
Answer:
59,000
Step-by-step explanation:
180,000 - 68,000 = 112,000
112,000 - 53,000 = 59,000
59,000 attended the show in Minneapolis
To calculate the Minneapolis concert audience size for Maroon 5, we subtracted the combined audience sizes of Chicago and Milwaukee from the total tour audience, finding the Minneapolis audience to be 59,000 people.
The question revolves around calculating the audience size for Maroon 5's concert in Minneapolis, given the total audience size for a 3-city tour and the audience sizes for two of the cities. Maroon 5 played to at least 180,000 people across three cities, with audiences of 68,000 in Chicago and 53,000 in Milwaukee.
To find the Minneapolis audience size, we subtract the known audience sizes from the total audience size:
Add the Chicago and Milwaukee audience sizes: 68,000 + 53,000 = 121,000.Subtract the sum from the total audience size: 180,000 - 121,000 = 59,000.Therefore, the audience size for the Minneapolis show was 59,000 people.
Solve the following equation for x.
Solve for x (isolate/get x by itself)
[tex]\frac{1}{4}x-7=\frac{3}{8}x-5[/tex] Add 5 on both sides
[tex]\frac{1}{4}x-7+5=\frac{3}{8}x-5+5[/tex]
[tex]\frac{1}{4}x-2=\frac{3}{8}x[/tex] Subtract 1/4x on both sides
[tex]\frac{1}{4}x-\frac{1}{4}x-2=\frac{3}{8}x-\frac{1}{4}x[/tex]
[tex]-2=\frac{3}{8}x-\frac{1}{4}x[/tex] Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x
[tex]-2=\frac{3}{8}x-\frac{2}{8}x[/tex]
[tex]-2=\frac{1}{8}x[/tex] Multiply 8 on both sides
[tex]-2(8)=(8)\frac{1}{8}x[/tex]
-16 = x
the map shows Hope road and the construction site for the new library find the equation of a street that passes through the building site and is parallel to the Hope road
Answer: y=1/3x+4
You're welcome
Answer: [tex]x-3y+12.5=0[/tex]
Step-by-step explanation:
From the give en graph , the coordinates of the point marked for library =(7,6.5)
The slope of the Hope road passing from points (0,6) and (3,7) is given by :-
[tex]\text{Slope}=\dfrac{\text{Change in y-coordinate}}{\text{Change in x-coordinate}}\\\\\Rightarrow\ \text{Slope}=\dfrac{7-6}{3-0}=\dfrac{1}{3}[/tex]
Since , a street that passes through the building site and is parallel to the Hope road, then the slope of the street will be :-
[tex]m=\dfrac{1}{3}[/tex]
[ The two parallel sides have same slopes. ]
Now, the equation of line having slope [tex]m=\dfrac{1}{3}[/tex] and passing through (7,6.5) is given by :-
[tex](y-6.5)=\dfrac{1}{3}(x-7)\\\\\Rightarrow3(y-6.5)=x-7\\\\\Rightarrow\ 3y-19.5=x-7\\\\\Rightarrow x-3y+12.5=0[/tex]
Hence, the equation of a street that passes through the building site and is parallel to the Hope road : [tex]x-3y+12.5=0[/tex]
Adjacent angles are two angles that share a common what?
Answer:
that share a common vertex
what is the correct answer. what is the focus point of a parabola with this equation? y=1/8(x^2-4x-12)
A. (-2,0)
B. (-2,-4)
C. (2,-2)
D. (2,0)
E. (2,4)
The answer is C. (2,-2) u just search it up online and there are million answers
Answer:
The answer would be D. (2,0)
Step-by-step explanation:
Hope this helps!
Help ASAP 15 points worth
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The easiest way is to try and proceed. Let's try solving these two.
Start by dividing the top equation by 3
15x/5 - 3y/3 = - 12/3
3x - y = -4
Add 4 to both sides
3x - y + 4 = -4 + 4
3x - y + 4 = 0 Add y to both sides
3x + 4 = y
===============
Substitute the right side of the second equation into the 4x + 4 = y equation
3x + 4 = 5x + 7
3x - 3x + 4 = 5x - 3x + 7
4 = 2x + 7
subtract 7 from both sides
-3 = 2x
Divide by 2
-1.5 = x
y = 5x + 7
y = 5(-1.5) + 7
y = -7.5
y = -0.5
=======
By inspection, you can see that the slopes of the lines are not the same.
You can also see that the slope of the first line is not the negative reciprocal of the slope of the second line.
You can also see that the lines intersect at one point (-1.5,-0.5) so they are not the same line.
Answer C
I need 18,19,& 20•ignore my writing
Answer:
Part 18) Option D 100 square meters
Part 19) Option A 60 cubic meters
Part 19) Option C. 212 cubic centimeters
Step-by-step explanation:
Part 18) Estimate the surface area of the prism
we know that
The surface area of the prism is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
Find the area of the base B
[tex]B=3.5*7=24.5\ m^{2}[/tex]
Find the perimeter of the base P
[tex]P=2*(3.5+7)=21\ m[/tex]
we have
[tex]H=2.4\ m[/tex]
substitute
[tex]SA=2(24.5)+(21)(2.4)=99.4\ m^{2}[/tex] ----> exact value
Estimate the surface area
we have
[tex]L=3.5=4\ m[/tex] ----> round up
[tex]W=7\ m[/tex]
[tex]H=2.4=2\ m[/tex] ----> round down
Estimate the area of the base B
[tex]B=4*7=28\ m^{2}[/tex]
Estimate the perimeter of the base P
[tex]P=2*(4+7)=22\ m[/tex]
substitute in the formula
[tex]SA=2(28)+(22)(2)=56+44=100\ m^{2}[/tex]
Part 19) Estimate the volume of the prism
The volume of the prism is equal to
[tex]V=BH[/tex]
we have
[tex]B=3.5*7=24.5\ m^{2}[/tex]
[tex]H=2.4\ m[/tex]
substitute
[tex]V=(24.5)(2.4)=58.8\ m^{3}[/tex] ----> exact value
Estimate the volume
we have
[tex]L=3.5=4\ m[/tex] ----> round up
[tex]W=7\ m[/tex]
[tex]H=2.4=2\ m[/tex] ----> round down
Estimate the area of the base B
[tex]B=4*7=28\ m^{2}[/tex]
substitute in the formula
[tex]V=(28)(2)=56\ m^{3}[/tex]
Part 20) The volume of the prism is equal to
[tex]V=BH[/tex]
we have
[tex]B=6*6.8=40.8\ cm^{2}[/tex]
[tex]H=5.2\ cm[/tex]
substitute
[tex]V=(40.8)(5.2)=212.16\ cm^{3}[/tex] ----> exact value
Estimate the volume
we have
[tex]L=6\ cm[/tex]
[tex]W=6.8=7\ cm[/tex] ----> round up
[tex]H=5.2=5\ cm[/tex] ----> round down
Estimate the area of the base B
[tex]B=6*7=42\ cm^{2}[/tex]
substitute in the formula
[tex]V=(42)(5)=210\ cm^{3}[/tex]
If line s and line t are parallel lines cut by transversal line r, what is the value of x?
x = 18
x cannot be determined from the information given
x = 33
x = 12
Answer:
Because s and t are parallel x=12
Step-by-step explanation:
To get this you have to solve for (4x-12)+120=180 solve for x
4x+12=60
4x=48
=12
The equation is written as 4x - 12 + 120 = 180. Then the value of the variable 'x' will be 18. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The sum of the angle (4x - 12)° and (120)° will be equal to 180°. Then the equation is given as,
4x - 12 + 120 = 180
Simplify the equation, then we have
4x - 12 + 120 = 180
4x = 72
x = 72 / 4
x = 18
The equation is written as 4x - 12 + 120 = 180. Then the value of the variable 'x' will be 18. Then the correct option is A.
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what is the value of s4
ANSWER
[tex]S_4 = \frac{208}{375} [/tex]
EXPLANATION
The given series is:
[tex]\sum_{n=1}^{\infty} \frac{2}{3} ( - { \frac{1}{5} })^{n - 1} [/tex]
When n=1, the first term is
[tex]a = \frac{2}{3} [/tex]
The sum of terms of a geometric sequence is given by the formula;
[tex]S_n = \frac{a {(1 - {r}^{n} )} }{1 - r} [/tex]
The sum of the first 4 terms is:
[tex]S_4= \frac{ \frac{2}{3} {(1 - { ( - \frac{1}{5} )}^{4} )} }{1 - - \frac{1}{5} } [/tex]
[tex]S_4 = \frac{208}{375} [/tex]
The value for S4 is represented by the third option, [tex]\frac{208}{375}[/tex] .
Geometric SequencesYou can define a geometric sequence when you have a common ratio between the numbers of a sequence. This common ratio can be found when you multiply or divide the previous term by the next term of the sequence and you find the same value. The formula for geometric sequences is:
[tex]a_n=a_1*r^{n-1}[/tex], where:
[tex]a_n[/tex]=[tex]n^{th}[/tex] term
[tex]a_1[/tex]= the first term
Example
2, 4,8, 16, ....
Here, you have:
[tex]a_1[/tex]= 2
[tex]r=\frac{a_2}{a_1}=\frac{a_3}{a_2}=2[/tex] , then: 2 x 2= 4; 4 x 2=8; 8 x 2=16 - Note that the numbers represent the example sequence.
For solving this exercise also it is necessary to apply the formula for the geometric sequence for finite terms since the question asks [tex]S_4[/tex], in the other words, the sum for n=4. Thus,[tex]S_n=\frac{a_1*(1-r^n)}{1-r}[/tex].
For the given series, when n=4, you have
[tex]\frac{2}{3} *(\frac{-1}{5})^{n-4} \\ \\ \frac{2}{3} *(\frac{-1}{5})^{4-4}\\ \\ \frac{2}{3} *(\frac{-1}{5})^{0}\\ \\ \frac{2}{3} *1=\frac{2}{3}[/tex]
Therefore, [tex]a_1=\frac{2}{3}[/tex].
Now, you will find S4 from the formula for the geometric sequence for finite terms
[tex]S_n=\frac{a_1*(1-r^n)}{1-r}\\ \\ =\frac{\frac{2}{3}\cdot \left(1-\left(-\frac{1}{5}\right)^4\right)}{1-\left(-\frac{1}{5}\right)}\\ \\ \frac{\frac{2}{3}\left(1-\left(-\frac{1}{5}\right)^4\right)}{1+\frac{1}{5}}=\frac{\frac{416}{625}}{\frac{6}{5}}=\frac{416\cdot \:5}{625\cdot \:6}=\frac{208}{375}[/tex]
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200 is what percent of 120?
Answer:
166.66 and 166.67 rounded
Step-by-step explanation:
Answer:
The answer is 166.(666)
Step-by-step explanation:
:D
Can someone please explain how you do this. I would really appreciate it.
Check the picture below.
now, let's recall that running a segment from a midpoint across to a midpoint in a triangle, creates a midsegment, and a midsegment which is parallel to the "base" of the triangle, is always half of that base.
now, noticing the picture on the top-left triangle, we know those points are midpoints, so those in red are midsegments and therefore half the base, to make it short
IC = HE/2 = 7
JB = IC/2 = 3.5
now onto the top-right triangle, which is the same thing just basing itself on its other end
CG = AH/2 = 10
DF = CG/2 = 5
now, let's go to the picture on the bottom-center
we know that DG = 4, and since D and G are midpoints, DG is the midsegment of CEH thus
CH = 2DG = 8
likewise, on the green triangle ACH, the midsegment IB is half of the base CH, we know CH = 8, so IB = 4.
What is X if B-X=A???????
choice B is the correct answer
Answer: the second option is correct
Step-by-step explanation:
How long will it take you to ski a distance of 24 miles at a speed of 6 miles per 30 minutes? (Step by step please)
Answer: It will take 2 hours. 120 minutes. 4 half-hours.
please help Use the model to solve for x.
A)
no solution
B)
x = 3
C)
x = -3
D)
x = -
3
2
Answer:
A) no solutionStep-by-step explanation:
x + 1 = x - 1 - 1
x + 1 = x - 2 subtract x from both sides
x - x + 1 = x - x - 2
1 = -2 FALSE
Deon rented a truck for one day there was a base fee of $19.99 and there was an additional charge of 98 cents for each mile driven deon had to pay $216.97 when he returned the truck for how many miles did he drive the truck
Answer:
Deon drove the truck 201 miles.
Step-by-step explanation:
Base Fee + (.98* Number of miles)= Cost
19.99 + .98x = 216.97
Subtract 19.99 from both sides.
.98x = 196.98
Divide both sides by .98
x = 201
Angela work on a straight 7% commission. Her friend worked on a salary of $600 plus a 10% commission. In a particular month, they both sold $26,300 worth of merchandise. How much did Angela earn for this month ?
Angela's earnings are calculated by applying her 7% commission rate to the total sales of $26,300, resulting in her earning $1,841 for the month.
Explanation:Angela earns money purely through a commission system where she makes a 7% commission on her sales. To calculate Angela's earnings for the month, we first need to apply the commission rate to her total sales. Angela sold $26,300 worth of merchandise.
Determine Angela's commission by multiplying her sales by her commission rate: $26,300 × 0.07.Calculate Angela's earnings: $26,300 × 0.07 = $1,841.So, Angela earned $1,841 from her commission for the month.
Find the value of x in the isosceles triangle shown
Answer:
A) x=4
Step-by-step explanation:
-We know that the triangles are equal by using Angle-Angle-Side theorem.
-Take one of the triangles.
-We know that the base of the triangle will be 3 on both sides because they are both equal.
-By using the Pythagorean theorem, we can now find the answer for x.
5^2=3^2+x^2
25=9+x^2
subtract 9 from both sides.
16=x^2
To 'undo' the squaring of the x, we need to take the square root on both sides.
[tex]\sqrt{16} =x[/tex]
The answer would be 4 because 4^2 equals 16.
x=4
The correct answer would be x=4
On a separate piece of graph paper, graph y = |x| - 1; then click on the graph until the correct one appears.
Answer with explanation:
y= |x| -1
|x|=x , if x≥0
and = -x , if x<0.
So,the above function can be written as
[tex]y=\left \{ {{x-1,for, x\geq 0 } \atop {-x-1,for x<0}} \right.[/tex]
First Drawing the graph of
y= x-1 for, x ≥ 0
And , then , y= -x -1 ,for x <0.
and then combining, the two we get.
Answer:
what they said
Step-by-step explanation:
To plan for packing, Ana thought about what she might want to bring. Ana knew that she wanted to have three tops for every two bottoms she brought. What would be the ratio of bottoms to tops?
Answer:
2:3. Since there are 3 tops for every 2 bottoms (3:2) you would flip the ratio around so there are 2 bottoms for every 3 tops.
The ratio of bottoms to tops is 2:3.
Explanation:To find the ratio of bottoms to tops, we can use the information given in the question. Ana wants to have three tops for every two bottoms. This means that for every 2 bottoms, she will have 3 tops. The ratio of bottoms to tops is therefore 2:3.
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