Mathematics Middle School

Evaluate the expression when a=−15 and b=−5.

      b2
------------ =
    a + 5


Help

Answers

Answer 1
Final answer:

The value of the given mathematical expression b^2 divided by a+5 when a=-15 and b=-5 is -2.5.

Explanation:

In the given expression, we're asked to evaluate b2 divided by (a + 5), where a = -15 and b = -5. First we substitute the values of a and b into the expression.

So, b2 becomes (-5)2 = 25 and a + 5 becomes -15 + 5 = -10.

Now, substituting these results back into the original expression, we get 25 divided by -10, which equals -2.5.

Therefore, the value of the given expression when a=-15 and b=-5, is -2.5.

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Related Questions

In the past you paid $800
per month to rent your apartment. You now pay $900
per month for your rent. What is the percent increase in your rent?

Answers

Hello! $800 was the past amount for rent and now it's $900. 900 - 800 is 100. that's a $100 difference. In order to find the percent increase in the rent, we can write and sovle a proportion. It would be set up as change/original = x/100, where change is difference between two numbers and original is the previous price. It would be set up like this:

100/800 = x/100

Let's crossmultiply the values. 100 * 100 is 10,000. 800 * x is 800x. That makes 10,000 = 800x. Now, divide each side by 800 to isolate the x. 800x/800 cancels out. 10,000/800 is 12.5 or 12.5%. Let's check this by multiplying by 112.5%. 800 * 112.5% (1.125) is 900. That's what we're looking for! There. x = 12.5%. The percent increase is 12.5%.


900-800=100.. 100/800=.125 . 125x100=12.5%

if the length of FH is 18 units, what is the value if x

Answers

Answer:

The value of x is 3

Step-by-step explanation:

Given that the length of FH is 18 units

we have to find the value of x.

Point G lies between F and H in which measurements are

[tex]\text{FG=4x and GH=2x}[/tex]

[tex]FH=4x+2x=6x\thinspace units[/tex]

[tex]6x=18[/tex]

Divide by 6 throughout the equation.

[tex]x=\frac{18}{6}=3[/tex]

The value of x is 3 cm.

Option 1 is correct.

please help im confused

Answers

25) It is a right triangle

3²+4²=5²
9+16=25
25=25

26) It is a right triangle

6²+8²=10²
36+64=100
100=100

27) Not a right triangle

5²+5²=10²
25+25=100
50=100

28) It is a right triangle

5²+12²=13²
25+144=169
169=169

Hope this helps :)

Larry has a cylinder shaped pitcher that is 13 inches long and a radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and a radius of 6 inches

Answers

The approximate volume of Sandra's pitcher is 904.78 cubic inches.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

We are given that;

For Larry's picture, we have r = 4 inches and h = 13 inches. Substituting these values into the formula, we get:

V = π(4^2)(13)

V ≈ 804.25 cubic inches

Therefore, the approximate volume of Larry's picture is 804.25 cubic inches.

For Sandra's pitcher, we have r = 6 inches and h = 8 inches. Substituting these values into the formula, we get:

V = π(6^2)(8)

V ≈ 904.78 cubic inches

Therefore, the volume of cylinder will be 904.78 cubic inches.

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The complete question is;

Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?

Which equation best describes the line of best fit?

A) y=6x +10

B) y=x−10

C) y=10x +70

D) y=2/3x

Answers

The y-value changes from 10 to 70 as the x-value changes from 0 to 10. That makes the slope (70 -10)/(10 -0) = 6, and the y-intercept = 10.

Selection A is the appropriate equation.

Find the value of X in the triangle.

Please explain. Thanks.

Answers

29°

triangles can only have 180°

This is a right triangle, so one angle is 90°, leaving us with 90° left

90°-61°= 29°
X=29
You have a right angle, they're always 90 degrees, plus 61 degrees = 151, next you subtract 151 from 180 = 29 degrees. 

Guys help me please:(

Answers

x = -2
 y = -5
 For this case, you must realize that the solution to the system of equations is the ordered pair:
 (x, y) = (- 2, -5)
 Graphically, they are two lines that intersect in the third quadrant.
 Answer: 
 See attached image.

40% of college students scored more than 70% on a math test 120 students scored below that how many total students took the math test

Answers

there were 200 students in total

How do u solve this system with substitution?

Answers

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x + 5 = 7

2x = 2

x = 1

y = 2(1) - 5

y = 2 - 5 = -3

Need help! Stuck in this question.

Answers

this is the answer i got on this calculator

A line containing the points (2, 16) and (-8, -4) intersects the y-axis at what point?

Answers

We first need to find the slope of this line: (-4-16)/(-8-2) = -20/-10 = 2.
We write this as slope-intercept: y = 2x + b(b is the y-intercept). Now we plug in on of the above points: 16 = 2(2) + b, and b is equal to 12.
---
Hope this helps!
Final answer:

To find the y-intercept of a line, we can use the equation y = mx + b. By substituting the coordinates of one of the given points into the equation, we can solve for b and find the y-intercept. The y-intercept is the point where the line intersects the y-axis.

Explanation:

The line containing the points (2, 16) and (-8, -4) can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. To find the y-intercept, we need to substitute the values of one of the given points into the equation and solve for b.

Using the point (2, 16), we have 16 = m(2) + b. Substituting the values of the other point gives us -4 = m(-8) + b. We can solve this system of equations to find the values of m and b.

16 = 2m + b-4 = -8m + b

By subtracting equation 2 from equation 1, we can eliminate b and solve for m. After finding the value of m, we can substitute it back into either equation to find the value of b. This will give us the y-intercept.

Once we have the values of m and b, we can write the equation of the line in the form y = mx + b. The y-intercept will be the point at which the line intersects the y-axis.

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What is the slope-intercept equation of the line through the points (-7,2) (-2,1)

Answers

The answer is -1/5. If you use slope intercept formula of (-7,2) and (-2,1) you get -1/5

EXPLAIN HOW A NUMBER LINE CAN BE USED TO FIND THE DIFFERENCE
FOR 34-28

Answers

You can count the marks on the line + the lower number to have the answer of 14 
A number line can help you solve this equation because it can specifically tell the exact spots between the numbers and you can easily get the answer without checking your answer!

Evaluate sin[2 arccos( -8/17 )].

Answers

Recall that [tex]\sin2x=2\sin x\cos x[/tex], so that

[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\sin\left(\arccos\left(-\dfrac8{17}\right)\right)\cos\left(\arccos\left(-\dfrac8{17}\right)\right)[/tex]

Dealing with the cosine terms is simple, since [tex]\cos(\arccos x)=x[/tex] (so long as [tex]0\le \arccos x\le\pi[/tex], which is true here). So

[tex]\cos\left(\arccos\left(-\dfrac8{17}\right)\right)=-\dfrac8{17}[/tex]

To find the sine, we can make a substitution of [tex]\theta=\arccos\left(-\dfrac8{17}\right)[/tex]. In other words, we suppose that [tex]\theta[/tex] is some angle that satisfies [tex]\cos\theta=-\dfrac8{17}[/tex].

If this is the case, then we have

[tex]\sin^2\theta=1-\cos^2\theta=\dfrac{225}{289}\implies\sin\theta=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}[/tex]

But which value do we choose? We know that [tex]\cos\theta[/tex] is negative, which means [tex]\theta[/tex] must be between [tex]\dfrac\pi2[/tex] and [tex]\pi[/tex]. The sine of any angle [tex]\theta[/tex] in this interval will always be positive, so in fact

[tex]\sin\theta=\sin\left(\arccos\left(-\dfrac8{17}\right)\right)=\dfrac{15}{17}[/tex]

Putting everything together, we get

[tex]\sin\left(2\arccos\left(-\dfrac8{17}\right)\right)=2\left(\dfrac{15}{17}\right)\left(-\dfrac8{17}\right)=-\dfrac{240}{289}[/tex]

You are buying salsa at the grocery store. You have a manufacturer’s coupon for $0.50 off and the store is offering 50% off if you buy 2 containers. One container of salsa costs $3.25. What is your final cost?

Answers

3.25*2 = 6.5*0.5 = 3.25-0.50 = $2.75

Answer: Final cost will be $2.75.

Step-by-step explanation:

Since we have given that

Cost of salsa container = $3.25

Off on coupon = $0.50

Final cost of one salsa container is given by

[tex]3.25-0.50\\\\=\$2.75[/tex]

Hence, the final cost will be $2.75.

if he bought two containers

Cost of two containers is given by

[tex]3.25\times 2\\\\=\$6.50[/tex]

Coupon 50% off is given by

[tex]6.50\times 0.5\\\\=3.25[/tex]

So, Final cost is given by

[tex]6.25-3.25-0.5\\\\=\$2.75[/tex]

Hence, Final cost will be $2.75.

How does the height of the triangle compare to the height of the rectangle

Answers

The triangle's height must be 3 times that of the rectangle for the areas to be the same.

For a triangle, A = (1/3)bh
For a rectangle, A = bh

If we let h represent the height of the rectangle and H represent the height of the triangle, we have
.. (1/3)bH = A = bh
.. H = 3h . . . . . . multiply the above equation by 3/b

Which model is most appropriate for the data shown in the graph below

Answers

it's an exponential graph.
it is an Exponential graph

Hello! I need a bit of help with this one! Thanks


of the calculators sold this week, 3/8 of them were blue and of those, 2/9 were broken. What fraction of the calculators were blue and broken?

Answers

so 2/9 of the 3/8 calculators were broken.

2/9 x 3/8 = 1/12 of the calculators were broken.

Kenji's dog ate 3/12 of e treats in a box of dog treats on Monday. His dog ate 2/12 of the treats on Tuesday. What fraction more of the box of the treats did his dog eat on Monday than on Tuesday?

Answers

1/12 of the box of dog treats

3/12-2/12= 1/12

Sarah build a dollhouse the floor the dollhouses Square Sara covers the floor with 144 square inches of tile how long in inches is one side of the dollhouse floor?
A. 12
B. 38
C. 72
D. 144

Answers

All you have to do is find the square root of the area because the area is the side length squared.

square root of 144 = 12

So a side length is 12
A. 12x12 is 144 and the tile has to be a 12 by 12 to have 144 tiles.

what is the answer to 50% of 4=

Answers

50% of 4 = 2 . . . . . .              

1/4-(2006 + .20)+2x2-4

Answers

-2005.95. I googled it. May want to double-check though, and if you get something differentx let me know.

what quadrilateral has exactly one pair of parallel sides

Answers

Trapezoid because it has 4 sides and one pair of parallel sides and one pair of non parallel sides
The answer is a trapezoid

What are the operations used to
solve this equation5/6x-2=-2/3x+1

Answers

addition
multiplication

Worth 25 POINTS HELP ASAP
(Picture is shown!)

Answers

Your answer is 1 and 2/5
3 - 1 3/5= 1 2/5 or 1.4

first u simplify 1 3/5 which is 8/5

the expression turns into 3 - 8/5

3   8      2
_ - _ = 1 _ 
1    5      5

to answer, u have to find a gcf to find the common denominators.

15/5 - 8/5 = 7/5
7/5 = 1 2/5

or 

u can put them into decimal:

3 - 1.6 = 1.4
1.4 = 1 2/5
  (4/10 simplified is 2/5)

so, the answer is 1 2/5 or 1.4

Answer this correctly plz

Answers

The area of the triangle is
  A = (1/2)bh
  = (1/2)(3 ft)(6 ft)
  = 9 ft^2

That triangular area is not carpeted, so the carpet area is
  72 ft^2 -9 ft^2 = 63 ft^2.




!! 30 PTS !!
Hello, I need some help on this Geometry Area question:

Answers

You have to multiply 54 times 1.2 and you will get 64.8. So, 64.8 is your area. 

Emma buys a game for $26.84. She pays for the game with a $20 bill and two $5 bills.
How much change should she receive? - $3.16
List the change in coins and bills. - ??

Answers

3 one dollar bills
One dime
6 pennies

Simplify the expression so there is only one positive power for each base
(3^-2•7^-5)^-4

Answers

= 3^(-2*-4)*7*(-5*-4)= 3^8*7^20

D is the answer

Answer:The and is D

Step-by-step explanation:

Leslie drank 4/5 pint of juice and Hank drank 7/10 pint of juice. Who drank more

Answers

Leslie did. If you multiply 4/5 by two, you get 8/10. 8/10 is greater than 7/10. 
Leslie, since 4/5 is equal to 8/5 (multiply the top and bottom by two, to have the same denominator as 7/10) which is greater than, 7/10
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