Apply distributive property: 5(2 + x) *
10 points
10 + x
10 + 5x

Answer:

<

Step-by-step explanation:

The answer to the question is x < y

Looking at the diagram again, we see that the sides opposite both x and y are equal. And since they both share a line together, this means that two sides are equal in both triangles. Isosceles is the name of the triangle with two sides equal. Since both triangles have two sides equal, this means that x and y are the only sides that are not equal.

Again, looking at the diagram, we are given an angle to be 95°. Which means that, if the triangle of y has an angle of 95, then the corresponding angle in x will be less than 95. This fact also makes x as a side, to be less than y.

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Answer:

Step-by-step explanation:

Ratio of corresponding sides are same in similar figures:

Find OP:

The answer to this is 42ft.

The answers to the complete quick check is

1. d 14

2. a 30, 60, 90

3. b 22 sqrt 2

4. b 42 ft

5. c 30 sqrt 3

Answer: I’m pretty sure the answer is d

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer: $49,305.56

Step-by-step explanation:

A(t)=a(1+r)^t (its subtraction if the thing decreases)

A(t)=amount after t time periods

t=number of time periods

a=initial amount

r=rate of growth (can’t be a percent, change by moving two decimal places)

A(t)=32000(1+0.155)^3

Answer:

The area of the shaded portion is;

A= π (81x^4 - 49x^2)

Step-by-step explanation:

Looking at the given figure, the area of the shaded part is simply the area of the bigger circle minus the area of the smaller circle

The bigger circle has a radius of 9x^2

The smaller circle has a radius of 7x

The radius is the distance from the center to any part of the circumference

The area of a circle can be calculated using the formula;

A = pi * r^2

For the bigger circle, we have;

A = pi * (9x^2)^2

A = pi * 81x^4

for the smaller circle, we have;

A = pi * (7x)^2

A = pi * 49x^2

So the area of the shaded portion will be;

A= π (81x^4 - 49x^2)

Answer:

46 and 277

Step-by-step explanation:

Given

f(x) = [tex]x^{4}[/tex] - 8x - 11 ← substitute x = 3, x = - 4 into f(x)

f(3) = [tex]3^{4}[/tex] - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46

f(- 4) = [tex](-4)^{4}[/tex] - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277

Answer:

C

Step-by-step explanation:

Answer:

60km

Step-by-step explanation:

3/5 = 36km

1 = ?

36 × 5/3=60km

Step-by-step explanation:

Solve it by Unitary method

3/5=36

1=X

so,

3/5x=36×1

5X=36×3

X=108/5

21.6 km Answer

hope it helps

Answer:almonds: 10.20

Cashews :12:40

Step-by-step explanation:

The cost per pound of almonds and cashews are 10.20 and 12:40, respectively

From the complete question, we have the following equations

6a + c = 73.6

4a + 3c = 78

Make c the subject in 6a + c = 73.6

c = 73.6 - 6a

Substitute c = 73.6 - 6a in 4a + 3c = 78

4a + 3(73.6 - 6a) = 78

Open the bracket

4a + 220.8 - 18a = 78

Evaluate the like terms

14a = 142.8

Divide by 14

a = 10.20

Substitute a = 10.20 in c = 73.6 - 6a

c = 73.6 - 6 * 10.2

Evaluate

c = 12.4

Hence, the cost per pound of almonds and cashews are 10.20 and 12:40, respectively

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Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

Answer:

260 months.

Step-by-step explanation:

Since there are 12 months in per year,

12 ⋅ 21 = 252.

There are 252 months in 21 years.

Then add the months left over.

252 + 8 = 260.

There are 260 months in 21 years, 8 months.

Answer:

240 in^3

Step-by-step explanation:

1) remember that a laundry detergent box has a shape of a rectangle parallelepiped

2) find the volume with this formula:

V = base x width x height

V = 12 x 8 x 2.5 = 240 in^3

Answer:

Answer is C

Step-by-step explanation:

Sin67°=x/20

x=20sin67°

x=18.4

Answer:

2^5 = 32

Step-by-step explanation:

2^5 is the same as 2⋅2⋅2⋅2⋅2, which equals to 32.

Answer:

32

Step-by-step explanation:

2^5 = 32

Answer:

(d). 1/14

(e). -2 11/14

(f). -6.315

Step-by-step explanation:

Answer:

d). 1/14  e). -59/24  f). -6.315

Step-by-step explanation:

d). 1/14

e). -59/24

f). -6.315

Answer:

[tex](x+4)^{2} = x^{2}+8x+16[/tex]

Step-by-step explanation:

Answer:

$[tex]3.83[/tex]

Step-by-step explanation:

[tex]23[/tex] divided by [tex]6=3.83333333333.....[/tex]

We round to nearest cent. [tex]3.83[/tex]

Answer:

51

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

The answer is yes.

Step-by-step explanation:

This is dependent because whichever color marble she picks out, is dependent on how many marbles of that color are in the bag. For example, since their are 25 blue marbles, there is a higher probability that she will pick a blue marble that any of the other colors.

Answer:

27 Degree

Step-by-step explanation:

First Draw the graph (If you want)

Tan is what we have to use because TAN = Opposite / Adjacent

TanA=2/4

TanA=1/2

TanA=0.5

Tan^-1 x (0.5)

<A= 26.565...

ROUND TO THE NEAREST DEGREE = 27 Degrees

Answer:

$4

Step-by-step explanation:

32/4 = $8 per pound

so 1/2 pound = 1/2 x 8 = $4

Answer:

4.116 × 10^8 = 411,600,000

Step-by-step explanation:

i just put it in the calculator dont get mad at me

Answer:

No

Step-by-step explanation:

40/1000 is 4%

Answer:

no, it would be equivalent if it was 4%

Step-by-step explanation:

Answer:

30.25 seconds

Step-by-step explanation:

If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.

Answer:

312.5%

Step-by-step explanation:

Convert 3.3kg to grams by multiplying by 1000

3.3×1000=3300g

%increase =Increase ÷Original ×100%

Increase=3300g -800g=2500g

2500÷800×100

=312.5%

The percentage increase in the weight of the bucket due to filling of water into it is 312.5.%

A percentage is a number or ratio that can be expressed as a fraction of 100. It can be calculated by using the formula:

Percentage=number*100/total number

We have been given that the weight of empty bucket is 800g and the weight of the bucket increases to 3.3 kg when filled with water.

We will first convert 3.3kg to g which will be 3300g

The percentage increase in the weight of the bucket

=(3300-800)*100/800

=250000/800

=2500/8

=312.5%

Hence the percentage increase in the weight of the bucket is 312.5%.

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Answer:

4 hours

Step-by-step explanation:

is 40 is two hours then 80 must be 4 hours