Use the table to find how many quarts are equivalent to 7 gallons.

There are
quarts in 7 gallons.

The width of the rectangle is 14 units and the right option is b 14

Perimeter can be defined as the total distance around an object.

To calculate the width of the rectangle, we use the formula of perimeter.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the width of the rectangle is 14 units and the right option is b 14

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Answer:

C. They are similar because corresponding sides are proportional.

Step-by-step explanation:

A and B are not are not how you would find similar triangles, so you can rule those answers out. We can also rule out D since the triangles aren't congruent - we can see they have different lengths. This leaves option C.

Here's how to check:

We'll take the ratio of FD:DE, which is 9:12.

9 ÷ 12 = 0.75

The corresponding sides on the second triange are CA:AB, which is 12:16

12 ÷ 16 = 0.75

9:12 = 12:16

The two traingles are similar & have proportional corresponding sides

2x+4

substitute x as -6

-12+4= -8

g(-6)=-8

There are 1250 skiers and 2500 snowboarders bought season passes.

The substitution technique is a mathematical approach for solving simultaneous linear equations. The value of one variable with one equation is substituted in the second equation, as the name implies.

The ratio of 1:2 indicates that there is one skier for every two snowboarders.

Let S stand in for the skier.

B should symbolize the snowboarder.

This condition is equivalent to = 1:2 = S:B.

Alternatively, 2S = B.

B - S = 1250

2S - S = 1250

Applying substitution method.

s = 1250

B = 2S = 2(1250) = 2500

B = 2500

There are 1250 skiers and 2500 snowboarders.

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I understand that the question you are looking is:

The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season passes. The Ratio of the number of skiers who bought season passes is 1:2.If 1,250 more snowboarders bought season passes than skiers, how many skiers bought season passes?

For ΔDEF, Where e=52, f=41 and ∠F=48°. Find all the possible ∠E to the nearest degree.

The possible ∠E to the nearest degree is ∠E=70°

Given that,

ΔDEF with e=52 and f=41 sides of the triangle.

Angle ∠F=48°.

We have to find ∠E=?

By using the Law of sine

The relationship between the sides and angles of non-right (oblique) triangles is known as the Law of Sines. It simply states that for all sides and angles of a given triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same.

If triangle ABC are there with sides a, b, and c then Law of sine is

[tex]\frac{a}{SinA} =\frac{b}{SinB} =\frac{c}{SinC}[/tex]

Now, in the given triangle we have e and f sides so we take

[tex]\frac{SinE}{e}=\frac{SinF}{f}\\[/tex]

Substituting the values of e, f and F

We get,

[tex]\frac{SinE}{52}=\frac{Sin48^\circ}{41}\\ SinE=\frac{Sin48^\circ}{41}\times52\\SinE=\frac{52}{41} \times Sin48^\circ\\SinE=1.268\times 0.743\\SinE=0.942\\E=Sin^{-1}(0.942)\\[/tex]

∠E=70°

Therefore, The possible ∠E to the nearest degree ∠E=70°.

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Answer:

1/4

Step-by-step explanation:

First u subtract both sides by 9

12x + 9-9= 4x + 7-9 = 12x = 4x + 2

Then u subtract

12x= 4x - 2

12x - 4x =4x - 2 - 4x=

and this will get u 1/8 but then u simplify and get 1/4

Answer:

1,440

Step-by-step explanation:

London 962

Rio       +118.5%

One percent of 962 is 9.62 you get that by moving the decimal place over one place, multiply by 118.5 to get 1,139.97 there is no partial medals so round to the nearest whole number and you get 1,140.

hope this helped! :) feel free to ask any questions and please mark my answer if it helped you thanks!

Answer:

Step-by-step explanation:

Last week, the typical amount of money spent by kids in the cafeteria ranged from $2.25 to $3.25.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations.

A mathematical equation can have many different components, such as coefficients, variables, operators, constants, terms, expressions, and an equal sign. An "=" symbol, as well as terms on both sides, are required when writing an equation.

Given:

Average amount spend = $2.75

Let x be the average dollar amount that students spend.

Then, the equation can be

|x - 2.75| = 0.5

Now, we have two values one is positive and another is negative

x - 2.75 = 0.5 or -(x - 2.75) = 0.5

x = 3.25 or x = 2.25

Hence, Last week, the typical amount of money spent by kids in the cafeteria ranged from $2.25 to $3.25.

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Answer:

Step-by-step explanation:

84.5

Answer:

by using BADMAS rule

Step-by-step explanation:

3(53+100)-12

3×153-12

459-12

447answer

Answer:

447

Step-by-step explanation:

i think the bodmas rule applies first so brackets first which means 53+100 then you times the by 3 and finally that answer you minus it by 12 and even if you put the whole expression on the calculator thats the same answer you will get.

Answer: 187 push ups

Step-by-step explanation:

34/2=17 push ups per minute

11 minutes * 17 push ups/1 minute =187 push ups

Using the concept for a relation to represent a function, it is found that graphs 2, 3, 4 and 5 are functions.

A relation represents a function when it value of the input is associated to only one value of the output.

On a graph, it means that each value of x has only one equivalent value of y, that is, there are no vertically aligned points.

In this problem, we have that:

All the other graphs are functions.

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[tex] = { \blue{ \tt{2}}}[/tex]

Step-by-step explanation:

[tex]{ \red{ \tt {\frac{9( - 2) + 8}{ - 5}}}}[/tex]

[tex] = { \red{ \tt{ \frac{ - 18 + 8}{ - 5}}}} [/tex]

[tex] = { \red{ \tt{ \frac{ - 10}{ - 5}}}} [/tex]

[tex] = { \red{ \tt{2}}}[/tex]

Answer:

31/4

Step-by-step explanation:

The Mixed Number 7 3/4 can be changed into the improper fraction 31/4.

step 1: The denominator of the improper fraction will be 4, since the denominator of the original fraction is 4.

to find the improper fraction, multiply the denominator of the original fraction (4) by the whole number (7). 4x7=28 then add the numerator of the original fraction: 28+3=31. This tells you the numerator of the improper fraction will be 31.

The improper fraction is 31/4.

Answer:

These two are both correct.

6.432 × 10^6

64.32 × 10^5

Explanation below

Hope this helps :)

Step-by-step explanation:

1. 9.6 × 6.7 = 64.32

Add the two powers 3 + 2 = 5

64.32 × 10^5

2. Move the decimal 1 time to the left, then that would add 1 power of ten to 10^5 to get 10^6.

6.432 × 10^6

Answer:

0.0000398 cubic ft.

Step-by-step explanation:

Answer:

  a = 4

Step-by-step explanation:

You are given an arithmetic sequence with second term 5.5 and fifth term 10. You want to know the first term.

The 2nd term will have 3 times the common difference added to it to make the 5th term. Then that difference can be found from ...

  5.5 +3d = 10 . . . . using 'd' for the common difference

  3d = 4.5

  d = 1.5

The second term (a2) is obtained by adding the common difference (d) to the first term (a1):

  a2 = a1 +d

  5.5 = a1 + 1.5

  4.0 = a1

The value of 'a' is 4.

__

Additional comment

The 'd' we're using here to represent the common difference is not to be confused with the 'd' in the problem statement that represents the fourth term of the list.

The fact that adjacent list members have the same difference is what tells you this is an arithmetic sequence. In terms of the problem statement, you have ...

  {a, b, c, d, e} = {4, 5.5, 7, 8.5, 10}

Here, we have used the more common notation for elements of an arithmetic sequence.

Answer:

x<-7

Step-by-step explanation:

4-x-2<-3(x+4)

Step-by-step explanation:

a. 8 × -1 = -8 or -2 × 4 = -8

8 ÷ -1 = -8 or 32 ÷ -4 = -8

b. -3 × 5 = 15 or 15 ×(-1) = -15

45 ÷ -3 = -15 or 225 ÷ -15 = -15

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Answer:

a: 4

b: 5 is alone, p, -4p and 5p are in the same group, and 7q is alone
c: 2uv squared and -uv squared are in the same group. Everything else is alone.

Step-by-step explanation:

4 is multiplied by y. Kinda self explanatory.

Even though p doesnt have a number before it, it still does. Variables always have coefficients, and if you can't see it, that means it's one.
uv squared is one of the terms, so any number before it makes it part of the group. Everything else is not similar, so you got your answer.

I don't know what grade you are in, but I'm guessing your in a low grade, so sorry if I was unclear.

Answer:

1575

Step-by-step explanation:

3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.

The quotient of the given complex number is 7/13 - 15/13i

Given the division expression

(10 – 4i) ÷ (5 + i).

This can also be expressed as:

10-4i/5+i

On rationalizing, we will have:

10-4i/5+i * 5-i/5-i

50-10i-20i-4(-1)/25-(-1)

50-30i+4/26

54-30i/26

27/13 - 15/13i

Hence the quotient of the given complex number is 7/13 - 15/13i

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Answer: D [tex]\frac{23}{13} - \frac{15}{13} i[/tex]

Step-by-step explanation:

The car's speed to feet per minute is  80.67ft per second.

What is speed?

1 mile = 5280 feet 

so 55 miles = 55*5280 = 290,400ft 

there are 60 seconds in 1 minute and 60 minutes in 1 hour 

so 1 hour = 60*60 = 3600 seconds 

55mile/1hour = 290400ft/3600 seconds = 80.67ft per second

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Answer:

Answer is x=11

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x−8)+11=17

(2)(x)+(2)(−8)+11=17(Distribute)

2x+−16+11=17

(2x)+(−16+11)=17(Combine Like Terms)

2x+−5=17

2x−5=17

Step 2: Add 5 to both sides.

2x−5+5=17+5

2x=22

Step 3: Divide both sides by 2.

2x/2=22/2

x=11

Answer:

D

Step-by-step explanation:

I used the Distributive Property of Exponents. This property states that (xy)^n=x^n * y^n. It distributes the power to all the values in the base.

Hence (2x)^6=2^6 * x^6==> D

Answer:

Step-by-step explanation:

Answer: 5 or 5 [tex]\frac{0}{3}[/tex]

Step-by-step explanation:

3*1=3 ==> 1st box value

3*2/3=6/3=2 ==> 2nd box value

3+2=5

5=5 [tex]\frac{0}{3}[/tex]

Considering the cube root of 27, we have that:

a) The correct solution is of 3.

b) The error that Ana likely made is that she considered the cube root as the number that is multiplied by 3 to get a result of 27, not the number that is elevated to three.

The question is that Ana wrote 9 as a solution to the cube root of 27.

The cube root of a number is the number that is elevated by 3 to reach the number, for example:

From the last bullet point, we get the correct answer for item a.

For item b, we have that 9 x 3 = 27, hence the error that Ana likely made is that she considered the cube root as the number that is multiplied by 3 to get a result of 27, not the number that is elevated to three.

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Answer:

Step-by-step explanation:

The number of square units required to fill a square is the area.

Area of a square = side × side

Area of a square = side2 square units

Area of a square field = 479 ft2 [Given]

So the side can be determined by:

Length of a side of the field = √479 = 21.9 feet

Therefore, the length of a side of the field is 21.9 feet.