Answer:
55
Step-by-step explanation:
Assuming she deposited the same amount each month.
Total ÷ Months = Amount Deposited Each Month
1,320 ÷ 24 = 55
Solve |x| + 7 < 4.
{x | x < -11 or x > -3}
{x | -3 < x < 3}
Ø
Answer: ur inbox in y=my+b form
Step-by-step explanation:
Question 18 (4 points)
Are the triangles similar?
A) Insufficient Information
B) Similar, SAS
C) Similar SSS
D) Similar, AA
for similar shapes, their corresponding sides will form the same proportion or ratio for any pair of corresponding sides, now, let's check the ratio of each corresponding side on these two.
[tex]\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \qquad \cfrac{12}{45}\implies \cfrac{4}{15}~\hfill \cfrac{25}{75}\implies \cfrac{1}{3}~\hfill \cfrac{15}{36}\implies \cfrac{5}{12} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{the triangles are \underline{not} similar}}{\cfrac{4}{15}\ne \cfrac{1}{3}\ne \cfrac{5}{12}}~\hfill[/tex]
The mechanic charges $90 for a vehicle inspection plus an additional $35 per hour. If the mechanic works for 8 hours, what will be the cost? $755 $370 $125 None of these choices are correct.
Answer:
$370
Step-by-step explanation:
You already have 90 dollars so we can put that to the side for right now
If you're charged $35 at an hourly rate for 8 hours then you have to multiply the two together
30 x 8 = 240
5 x 8=40
240 + 40=280
Now is when your $90 dollars comes in. Now just add the two together and you'll end up with your final answer
280+90=370
A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the surface area of the prism? Enter your answer in the box. cm²
Answer: [tex]158cm^2[/tex]
Step-by-step explanation:
You can use the following formula to calculate the surface area of the right rectangular prism:
[tex]SA = 2(wl +lh + hw)[/tex]
Where "w" is the width, "l" is the length, and "h" is the height.
Knowing that this rigth rectangular prism has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.
Then, the surface of the right rectangular prism is:
[tex]SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2[/tex]
Answer:
Surface area of prism = 158 cm²
Step-by-step explanation:
Points to remember
Surface area of rectangular prism = 2(lb + lh + bh)
Where l - Length, b - Breadth and h - Height
To find the surface area of prism
Here l = 8 cm, b = 3 cm and h = 5 cm
Surface area = 2(lb + lh + bh)
= 2[(8*3) + (8 * 5) + (3 *5)]
= 2[24 + 40 + 15]
= 2 * 79
=158 cm²
Surface area of prism = 158 cm²
15 The heights, in inches, of 12 students are listed below.
61, 67, 72, 62, 65, 59, 60, 79, 60, 61, 64, 63
Which statement best describes the spread of these
data?
(1) The set of data is evenly spread.
(2) The median of the data is 59.5.
(3) The set of data is skewed because 59 is the only
value below 60.
(4) 79 is an outlier, which would affect the standard
deviation of these data.
The statement that best describes the spread of these data is 79 is an outlier, which would affect the standard deviation of these data
What is an outlier?
An outlier is a piece of data that is an abnormal distance from other points.
In other words, an outlier is any value that is numerically distant from most of the other data points in a set of data.
The outlier in the set of data is 79 because it is quite distance from the other numerical value
Generally, outliers significantly affects the standard deviation of data.
Therefore, 79 is an outlier, which would affect the standard
deviation of these data
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Which of the following rules should be use to find the area of a triangle?
A) Divide area by length
B) Divide the sum of the upper and lower sides by 2
C) Multiply length by width by height
D) Multiply 1/2 base by altitude
E) none of these
The area of a triangle is half the product of the base and the height.
Since multiplication is commutative, the following expressions are equivalent:
[tex]A=(bh)\cdot \dfrac{1}{2} = \dfrac{b}{2}\cdot h = \dfrac{h}{2}\cdot b[/tex]
So, option D is correct
Option (D) Multiply 1/2 base by altitude should be used to find the area of a triangle.
Area of the triangleA triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
Area of a Triangle = A = ½ (b × h) square units
where b and h are the base and height of the triangle, respectively.
Now, let's see how to calculate the area of a triangle using the given formula.
The area of a triangle is half the product of the base and the height. Since multiplication is commutative, the following expressions are equivalent:
[tex]$$A=(b h) \cdot \frac{1}{2}=\frac{b}{2} \cdot h=\frac{h}{2} \cdot b$$[/tex]
So, option D is correct Multiply 1/2 base by altitude.
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20 points for one question. You know you want to.
Answer:
The answer is A.
Step-by-step explanation:
We only have to test one coordinate to find the answer. The original coordinate for N is (-1, -1). Using the formula, N' is (0, -2).
You see, it's quite easy. All you need to do is find the coordinates of FNQ, then add the 1 to the x values and subtract 1 from the y values as stated in the translation rule.
However, in your case, you don't have numbers on your graph but you can easily draw some. Be mindful of the quadrants.
Let's try out point F just for gags.
F = (3, 3)
(Technically you only need one point to determine the answer.)
Now, apply rule: x + 1, y - 1
(3, 3) becomes (4, 2)
Now, which multiple choice answer contains that specific point for F?
Choice A.
Need help asap, timed.
If f(x) = x and g(x) = 2, what is (F*G)(X)
2x
2
x + 2
x/2
Answer:
2x
Step-by-step explanation:
(f*g)(x) = f(x)*g(x)=x*2
ANSWER
[tex](f \times g)(x) = 2x[/tex]
EXPLANATION
The given functions are
[tex]f(x) = x[/tex]
and
[tex]g(x) = 2[/tex]
We want to find
[tex](f \times g)(x) = f(x) \times g(x)[/tex]
This means we need to multiply the two functions to get:
[tex](f \times g)(x) = x \times 2[/tex]
This will simplify to
[tex](f \times g)(x) = 2x[/tex]
The correct answer is A
which of the following graphs represent the equation y=3x+2
Answer:You haven't attached a picture but this is what your line should look like
Step-by-step explanation:
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Flips
Answer:
is there a graph
Step-by-step explanation:
if x^2=4 then x=2 pleas help me
[tex]x^2=4\Longrightarrow x=4^{2^{-1}}=4^{\frac{1}{2}}=\sqrt{4}=\boxed{2}[/tex]
So the first one is correct which implies that the third one is also correct.
But these are not the only ones.
[tex]
2x=2\Longrightarrow x=\dfrac{2}{2}=\boxed{1}
[/tex]
The last one is also correct.
Hope this helps.
r3t40
Tracy solved the following problem. Which of the statements is true?
9 ÷ 3 + 6 × 2
3 + 6 × 2
9 × 2
18
Her answer is correct.
Her answer is incorrect. She should have multiplied before dividing.
Her answer is incorrect. She should have multiplied before adding.
Her answer is incorrect. She should have added before dividing.
Answer:
should have multiplied before dividing the real answer is 15
Answer:
B. Her answer is incorrect. She should have multiplied before dividing.
Step-by-step explanation:
Please someone help me
Hello There!
Dividing a fraction is the same thing as multiplying by its reciprocal.
This means that [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{5}{12}[/tex] is the same as multiplying [tex]\frac{3}{4}[/tex] by [tex]\frac{12}{5}[/tex].
So basically when you divide you leave the first fraction alone but the second fraction in this case, 5/12 you would flip the number on top and the number on bottom to 12/5.
HAVE A GREAT DAY!
Answer: [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.
To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.
Then, the reciprocal of the fraction [tex]\frac{5}{12}[/tex] is:
[tex]\frac{12}{5}[/tex]
Therefore:
[tex]\frac{3}{4}[/tex]÷[tex]\frac{5}{12}= \frac{3}{4}* \frac{12}{5}[/tex]
evaluate 6+4/a +b/3 then a =4 and b=3
Answer:
8
Step-by-step explanation:
Plug in a =4 and b=3 into 6+4/a +b/3
6 + 4/4 + 3/3
= 6 + 1 + 1
= 8
Answer:
The answer would be 8.
Step-by-step explanation:
Here the given expression,
[tex]6+\frac{4}{a}+\frac{b}{3}[/tex]
By substituting a = 4 and b = 3 in the above expression,
We get,
[tex]6+\frac{4}{4}+\frac{3}{3}[/tex]
[tex]=6+1+1[/tex]
[tex]=8[/tex]
Therefore, the value of the given expression would be 8.
Find the missing factor.
7s2 + 25s + 12 = (s + 3)(
).
Answer:
Step-by-step explanation:
First part of the second factor.
Start by noticing that you are not going to get 7s^2 with the factor you have. So the first thing to do is to write the second factor as
(s + 3) (7s
Sign
The next problem is to figure out what the sign following the 7s is. The 12 holds the answer to that.
12 is positive. So what ever follows must also be positive. Otherwise you will get a negative for the 12. So now you have
(s + 3)(7s +
What comes after the Plus Sign?
Last step. you need a number that when multiplied by 3 will give you 12. That has to be 4
(s + 3)(7s + 4) This is your answer.
Which point on the line best represents /10
1. F
2. G
3. H
4. E
Answer:
F
Step-by-step explanation:
√10 = 3.16
hence the point must be larger than 3.1 and smaller than 3.2
Only F satisfies this condition.
4⁄15 of the 315 members of a book club are male. How many female members are there in the club?
A. 131
B. 84
C. 174
D. 231
Answer:
the answer is B) cos 4/15 as a decimal is 3.75 and 315 divided by 3.75 is 84
D. 231
4/15 of the 315 members are male so 4/15 mutiplied by 315 is 84
There are 84 males
315 members minus 84 male members equals 231 female members
If f(x) = 2x + 3 and g(x) = x2 + 1,find f(g(3)).
[tex]\bf \begin{cases} f(x)=2x+3\\ g(x)=x^2+1 \end{cases}\qquad \qquad g(3)=(3)^2+1\implies g(3)=\boxed{10} \\\\\\ f(~~g(3)~~)\implies f\left( ~~\boxed{10}~~ \right)=2(10)+3\implies \stackrel{f(g(3))}{f(10)}=23[/tex]
Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen of muffins requires 1 lb of dough and a pack of waffles uses
3
4
lb of dough. It take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. Their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. How many of each should they make to maximize profit, if they have just 20 hours to do everything?
Answer:
250 batches of muffins and 0 waffles.
Step-by-step explanation:
-1
If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function
P = 2a + 1.5b
subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.
Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.
You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.
Please help: tangent 48 degrees = 9/x
Answer:
[tex]x=8.1[/tex]
Step-by-step explanation:
we have that
[tex]tan(48\°)=\frac{9}{x}[/tex]
Solve for x
[tex]x=\frac{9}{tan(48\°)}[/tex]
[tex]x=8.1[/tex]
What is the reference angle for 7 pi/6?
Answer:
[tex]\frac{\pi }{6}[/tex]
Step-by-step explanation:
[tex]\frac{7\pi }{6}[/tex] is an angle in the third quadrant
To find the reference angle subtract π from it
reference angle = [tex]\frac{7\pi }{6}[/tex] - π = [tex]\frac{\pi }{6}[/tex]
Which is the graph of the linear function that is represented by the equation y=1/2x-2?
Tyler has $16 and a coupon for $5 off at the grocery. A bottle of olive oil costs $7. How many bottles can Tyler buy?
Final answer:
After applying a $5 coupon to his $16, Tyler is left with $11. Given the cost of one bottle of olive oil is $7, Tyler can only purchase 1 bottle because he cannot buy a fraction of a bottle.
Explanation:
The student's question involves basic arithmetic operations and budget management, which falls under the subject of Mathematics. Tyler can use the $5 coupon to reduce the total cost of his purchase. To determine how many bottles of olive oil he can buy, we need to subtract the coupon value from the amount of money he has:
$16 (amount Tyler has) - $5 (coupon value) = $11 (amount left after using the coupon).Now, we divide the amount left by the cost of a single bottle of olive oil:
$11 ÷ $7 (cost per bottle) = approximately 1.57.Since Tyler cannot buy a fraction of a bottle, he can buy only 1 bottle of olive oil with the money he has after applying the $5 coupon.
line L passes through points (0,4) and (3,6) what is the slope of a line that is parallel to line L
-2/3
-3/2
2/3
3/2
Answer:
Option C is correct.
Step-by-step explanation:
The formula to find the slope given two points is:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
We are given points (0,4) and (3,6)
where x₁ = 0 , y₁ = 4, x₂=3 and y₂=6
Putting values in the formula:
[tex]slope = \frac{6-4}{3-0} \\slope = \frac{2}{3}[/tex]
So, slope is 2/3
Since the slope of line to be found is parallel to line L. So both lines have the same slope.
Slope of line parallel to line L = 2/3
Option C is correct.
1. Evaluate 30 -2k for k= -8.
Answer:
46
Step-by-step explanation:
Replace k with (-8)
30-2(-8) Substitution
30-(-16) Multiplication 2(-8)=-16
30+16
46
Answer: The answer is 46
Step-by-step explanation: If you plug in -8 for k in the problem 30-2k then multiply -8 by 2 you get -16. Then you have to do 30 - -16 which results in 46.
Identifying the Danger
Which everyday situations could ultimately be dangerous? Check all that apply.
While crossing the street, Dan checks his cell phone one more time to see if he got a reply about that after-
school job
After having a couple of beers, Enrique gets behind the wheel anyway since he must get home by midnight.
Since the drive is short, Emily decides not to use her seat belt to pick up her brother from soccer practice
All of Anita's friends are busy on Saturday morning, so she decides to go on a five-mile hike in the mountains
alone
Anxious to win the science competition, Lorena forgets to put on her safety goggles before her presentation
Done
) Intro
Answer:
all five are dangerous
checking his phone while crossing the street
driving impaired
driving unbuckled
hiking alone
not wearing safety goggles
All the situations described - Distracted walking, Drinking and driving, Not wearing a seatbelt, Hiking alone, and Not wearing safety goggles in a possibly hazardous environment - are dangerous.
Explanation:All of the scenarios given can be considered as dangerous. Distracted walking, as portrayed by Dan who checks his cell phone while crossing the street, risks accidents because the person is not fully aware of his surroundings. Drinking and driving, like Enrique after a couple of beers, is extremely dangerous, often leading to severe accidents. Not wearing a seat belt while driving, regardless of the drive's duration, puts Emily in danger. Anita's situation where she is hiking alone can be dangerous due to the risk of injury, and going without help or immediate assistance. Lastly, Lorena's situation is hazardous because safety goggles are crucial for protecting the eyes during a science presentation, especially if it involves chemicals or physical contraptions.
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Someone please help out??
Answer:
3
Step-by-step explanation:
7÷2 hope this is the correct answer enjoy this help.
Lines a and b are parallel.
What is the value of x?
-5
-10
-35
-55
Answer:
5
Step-by-step explanation:
It's a right triangle so 7x + 11x = 90
Solve for x
7x + 11x = 90
18x = 90
x = 5
What is the slope of the graph? Leave your answer as a reduced fraction.
Slope =
Identify the y-intercept. Write as a coordinate.
y-intercept =
Write an equation in slope-intercept form for the graph above.
y=
Answer:
Slope = 3/2
Y-intercept = 2
Slope-intercept Form: y = 3/2x + 2
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
As, per the graph
slope= rise/ run
slope= 3/2
and, y- intercept is of 2 units.
So, equation of slope intercept form will be,
y= mx+c
y= 3/2 x+ 2
2y= 3x+4.
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Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.
Answer:
x = 1.25
y = 0.75
Step-by-step explanation:
Let $x be the cost per pound of apples
Let $y be the cost per pound of bananas
5x + 3y = 8.5 --- (1)
3x + 2y = 5.25 --- (2)
From (1),
3x + 1.8y = 5.1 --- (1a)
Subtract (1a) from (2),
(3x + 2y) - (3x + 1.8y) = 5.25 - 5.1
3x - 3x + 2y - 1.8y = 0.15
0.2y = 0.15
y = 0.15 / 0.2 = 0.75
x = [ 5.25 - 2(0.75) ] / 3 = 1.25
Subtract.
(3x2 + 2x – 9) - (4x2 - 6x +3)
Enter your answer, in standard form,
Hello!
Answer:
[tex]\boxed{6x-12}[/tex]
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First, you remove parenthesis.
3x*2+2x-9-(4x*2-6x+3)
Multiply.
3x*2=6x
-(4x*2-6x+3=(-2x+3)
6x+2x-9-(2x+3)
-(2x+3)=-2x-3
6x+2x-9-2x-3
Then, you simplify and solve.
6x+2x-9-2x-3=6x-12
[tex]\boxed{6x-12}[/tex], which is our final answer.
Hope this helps!
Thanks!
Have a nice day! :)
-Charlie
The solution is 6x-12.
What is BODMAS rule?The Bodmas rule follows the order of the BODMAS acronym ie
B – Brackets, O – Order of powers or roots, D – Division, M – Multiplication A – Addition, and S – Subtraction.
The BODMAS rule states that mathematical expressions with multiple operators need to be solved from left to right in the order of BODMAS
By solving in standard form we have to use
BODMAS
First, Brackett open
3x*2+2x-9-(4x*2-6x+3)
now ,Multiply.
3x*2=6x-(4x*2-6x+3=(-2x+3)So, 6x+2x-9-(2x+3)
or, -(2x+3)=-2x-3
or, 6x+2x-9-2x-3
Now, simplify
or, 6x+2x-9-2x-3=6x-12
Hence, the solution is 6x-12.
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