wwhich expression has a value of 8/15

Answer:

? = -2

Step-by-step explanation:

a + b = -2

so, now we need to find all (a + b) combinations in the large expression.

for example, we know

a = -2 - b

or b = -2 - a

and then

-b = 2 + a

but also

3b = -6 - 3a

so that

a - b = a + 2 + a = 2a + 2

therefore

(a + b)(a - b) = a² - b² = -2(2a + 2) = -4a - 4

(-4a - 4 - 12b - 36)/(-4a - 4 - 6a - 6b) =

(-4(a + 3b) - 40)/(-4a - 4 - 6(a + b)) =

(-4(a - 6 - 3a) - 40)/(-4a - 4 - 6×-2) =

(-4(-2a - 6) - 40)/(-4a + 8) =

(8a + 24 - 40)/(-4a + 8) = (8a - 16)/(-4a + 8) =

-2×(-4a + 8)/(-4a + 8) = -2

Answer:

-√64: rational

15 pi: irrational

46.86 repeated: rational

15/19: rational

-2√6: irrational

Step-by-step explanation:

From the picture that I used, I was able to find out which ones were rational and irrational.

-√64: rational because it equals to -8

15 pi: has "pi" in it

46.86 repeated: as long as it's repeated, it's rational

15/19: fractions are usually rational

-2√6: √6 is cannot be rationalized

Answer: A.

Step-by-step explanation: The formula for the volume of a sphere is 4/3 x pi x radius cubed. The final answer is approx 121.1, which rounds down to 121. Brainliest plz

The option that represents the volume of the sphere given the radius is 113.04 in³.

The volume of the sphere is the space occupied within the sphere.

Volume of a sphere = 4/3 x pi x r³

4/3 x (22/7) x 3³ = 113.04 in³

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The length of the median FQ in image of the two similar triangles is: 36.

The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:

PC/FQ = PB/QE

Substitute

27/FQ = 18/24

FQ = (24 × 27)/18

FQ = 36.

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Answer:

40.

Step-by-step explanation:

16 × 2 1/2= X

= 40.

System of equations:

x - y = 3

x + 2y = 21

solving using substitution:

1. isolate one of the variables in one of the equations

x - y = 3

x = 3 + y

2. substitute 3 + y into the other equation

3 + y + 2y = 21

3. simplify

3 + 3y = 21

3y = 18

y = 6

4. substitute 6 back into one of the equations and solve for x

x - 6 = 3

x = 9

Answer:

I think that yes they are, but I maybe wrong.

Step-by-step explanation:

I believe that this is true because of the Angle-Angle congruence theorem.

Answer:

B.

Step-by-step explanation:

Answer:

Raul performed better in the biology test

Step-by-step explanation:

Given

History

[tex]Score = 80[/tex]

[tex]Mean = 70[/tex]

[tex]Standard\ Deviation = 10[/tex]

Biology

[tex]Score = 75[/tex]

[tex]Mean = 70[/tex]

[tex]Standard\ Deviation = 2.5[/tex]

Required

Where did he perform better relative to other students

To do this, we simply calculate the z score in both tests and make comparison.

z score is calculated as thus;

[tex]z = \frac{x - Mean}{SD}[/tex]

For history;

[tex]z = \frac{80 - 70}{10}[/tex]

[tex]z = \frac{10}{10}[/tex]

[tex]z = 1[/tex]

For biology;

[tex]z = \frac{75 - 70}{2.5}[/tex]

[tex]z = \frac{5}{2.5}[/tex]

[tex]z = 2[/tex]

Since the z score in the biology test is greater than that of the history test, then he performed better in the biology test

Answer:

it's Not a perfect square because 3.9x2.9 is 8.41 which means it isn't a perfect square

The step that is not allowed is (b) add the left side of equation 2 to the left side of equation 1

The system of equations is given as:

2x - 3y = 12

-2x + y = 8

This means that the step that is not allowed is (b)

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Answer:

$1,657.82

Step-by-step explanation:

435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance

1,657.82

The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.

A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.

In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Baking soda needed for a full sheet cake =  8 x 0.65 = 5.2 tablespoons

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Answer:

n= -5

Step-by-step explanation:

Answer:

192.5

Step-by-step explanation:

amount of money for one week = 450

amount of money for 3 weeks = 1350

15 percent of 1350 = 1350 x 15

                                        = 19250

divide 19250 by 100

answer is 192.5

                 ---------------------------------------------------------------------------

Answer:

probably B.

Step-by-step explanation:

if he just halves the recipe, then it would still be 1/4 tablespoon because he is making 2 pies.

The rounding of the numbers to 1 significant figure are-

a) 687 × 164 = 140000

b) 476 × 2354 = 1000000

c) 8612 × 1497 = 9000000.

a) 687×164

This number can be written in form of rounding to 1 significant figure as;

700 × 200 = 140000

b) 476×2354

As, the number can be written in form of rounding to 1 significant figure as;

500 × 2000=1000000

c) 8612×1497

These number can be written in form of rounding to 1 significant figure as;

9000×1000=9000000

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Missing Part:

a. A red ball is drawn

b. A white ball is drawn

Answer:

a. [tex]P(Red) = 0.4375[/tex]

b. [tex]P(White) = 0.3125[/tex]

Step-by-step explanation:

Given

[tex]Red = 7[/tex]

[tex]White = 5[/tex]

[tex]Yellow = 4[/tex]

First, we need to calculate the total

[tex]Total = Red + White + Yellow[/tex]

[tex]Total = 7+5+4[/tex]

[tex]Total = 16[/tex]

Solving (a): Probability of Red.

This is calculated by dividing number of red balls by the total

So:

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{7}{16}[/tex]

[tex]P(Red) = 0.4375[/tex]

Solving (a): Probability of White.

This is calculated by dividing number of white balls by the total

So:

[tex]P(White) = \frac{White}{Total}[/tex]

[tex]P(White) = \frac{5}{16}[/tex]

[tex]P(White) = 0.3125[/tex]

Answer:

A) Subordinate

Step-by-step explanation:

it could help

Answer:

[tex]your \: answer \: is \: option \: a[/tex]

I am sure about this answer.

Step-by-step explanation:

2/3 and 5/12

hope it helps..

pls mark as brainliest

Answer:

negatives to the left of 0, positives to the right of 0.

The area A of the triangle with the given vertices is 13 square units

The vertices are given as

(0, 0), (4, 1), (2,6)​

The area is calculated as

Area = 1/2 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

So, we have

Area = 1/2 * |0 * (1 - 6) + 4 * (0 - 6) + 2 *(0 - 1)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-26|

Remove the absolute bracket

Area = 1/2 * 26

Evaluate the products

Area = 13

Hence, the area A of the triangle with the given vertices is 13 square units

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Answer:

Step-by-step explanation:

hello :

the complement of the set given that U = {x | x is in I and −3 ≤ x ≤ 9}is :

F = {x | x is in I and x <-3 or 9 < x}

same method for :{x | x is in I and −2 ≤ x < 5}

H={x | x is in I and x <-2 or 5 ≤ x}

Answer:

B. 6.07

HAS A SIX THAT IS TEN TIMES THE VALUE OF THE SIX IN 1.67

The line tangent to g(x) at x = 3 is:

y = 4*x - 18

If we have a function y = f(x), the slope of the line tangent at the point x = a is given by f'(a).

In this case, we know that g'(3) = 4, so the slope of the line is 4.

Then the line is something like:

y = 4*x + b

To find the value of b we use the fact that this line must pass through the point (3, g(3))

And we know that g(3) = -6

Then this line must pass through the point (3, -6), replacing that we get:

-6 = 4*3 + b

-6 = 12 + b

-6 - 12 = b = -18

Then the tangent line is:

y = 4*x - 18

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Answer:

im thinking either b or c im leaning towards b

Step-by-step explanation:

Answer:

i think it is 15 for x

and i think it's 10 for y

Step-by-step explanation:

tell me if i'm wrong

Answer:

C. -3

Step-by-step explanation:

First, find the slope of side QR. Calculate the slope by finding the ratio of the difference between the y-coordinates and the difference between the x-coordinates of points Q and R.

The slope of side QR can be found as shown below.

Now, using the slope of side QR, draw a triangle RST similar to the right triangle PQR with S(x, 7) as one vertex.

Next, find the value of x as shown below.

Therefore, the value of x in the point (x, 7) is -3.