Solve for x. Round all answers to the nearest tenth.
11
11.7
10.2
11.9

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:

⇒ In this example, we are solving for x.

⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:

[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]

We're given:

Set up a proportion:

[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:

[tex]8x=14*96\\8x=1344\\x=168[/tex]

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.

Answer:

6.286

Step-by-step explanation:

♢C=⊙/360x 22/7x D

=45/360x22/7x16

=6.286

Answer:

B is the answer

Step-by-step explanation:

Hope it helps.

Answer:

= 29$ (to the nearest dollar)

Step-by-step explanation:

14.6 gallons of gas

       1 gallon = 1.98$

 14.6 gallons = 14.6 × 1.98$

          = 28.90800$

                   = 29$ (to the nearest dollar)

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3 is a factor of 12 because 12 is evenly divisible by 3

4 and 8 are not evenly divisible by 3.

the key word here is evenly (without a remainder)

===================================================

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

The volume of water contained in this aquarium that is filled halfway through its height is equal to 141,750 cm³.

Mathematically, the volume of a right prism is calculated by using this formula:

Volume = length × width × height

Given the following data:

Based on the information, the aquarium is filled halfway through its height. Thus, the height of water is given by:

H = 70 × 0.5

H = 35 cm.

Substituting the parameters into the formula, we have;

Volume = 45 × 90 × 35

Volume = 141,750 cm³.

Mathematically, the volume of Elisha's swimming pool is given by:

Volume = length × width × height

Volume = 10 × 5 × 1

Volume = 50 m³.

Now, we can calculate the cost of water supply:

Cost = 27.25 × 50 × 10³

Cost = P1,362,500.

Mathematically, the volume of a rectangular prism is given by this formula:

Volume = length × width × height

Volume = 130 × 70 × 110

Volume = 1,001,000 cm³.

Firs of all, we would determine the volume of this truck:

Volume = length × width × height

Volume = 9 × 7 × 5

Volume = 315 ft³.

Now, we can calculate the number of trips:

Number of trips = 945/315

Number of trips = 3 trips.

Read more on rectangular prism here: brainly.com/question/3867601

Answer:

Infinitely many

Step-by-step explanation:

Infinitely many points are contained on a line.

Answer:

infinitely many

Step-by-step explanation:

A line consists of infinitely many points.

hope this helps!! p.s. i really need brainliest :)

The expression (3a + 2b)^7 is a binomial expression;

The coefficient of the fourth term is 15120

The equation is given as:

(3a + 2b)^7

The above expression is a binomial expression;

Assume the expression is:

(x + y)^n

The equation of the expansion is:

[tex](x + y)^n = ^nC_r * x^{n-k} * y^k[/tex]

When the expression is expanded, the parameters of the fourth term are

n = 7

r = 4

x = 3a

y = 2b

So, we have:

(3a + 2b)^7 = 7C4 * (3a)^(7-4) * (2b)^4

Evaluate each factor

(3a + 2b)^7 = 35 * (3a)^3 * (2b)^4

Evaluate the powers

(3a + 2b)^7 = 35 * 27a^3 * 16b^4

Evaluate the product

(3a + 2b)^7 = 15120a^3b^4

The coefficient of the above expression is 15120

Hence, the coefficient of the fourth term is 15120

Read more about binomial expressions at:

https://brainly.com/question/13602562

Answer:

  A.  x = 4

  B.  ∠C = 80°

Step-by-step explanation:

The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...

  140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°

  31x +416° = 540° . . . . . . collect terms

  31x = 124° . . . . . . . . . . subtract 416°

  x = 4

__

The measure of angle C is found by substituting the value of x into the given expression for angle C.

  (16x +16)° = (16(4) +16)° = 80°

Angle C is 80°.

_____

Additional comment

It can be useful to remember that the sum of interior angles of an n-gon is ...

  (180°)(n -2)

This can be derived from the fact that the sum of exterior angles is always 360°.

These relations apply to convex polygons. YMMV when there are reflex angles or when sides cross each other.

Answer:

the answer should be 93.9% let know if in wrong

Roberto's science grade as per weighted average is equals to 93.9%.

" Average is defined as the ratio of total of all the given data to the total number of quantities in the data."

Formula used

Weighted average'W' = ( ∑[tex]w_{i} x_{i}[/tex] ) / ( ∑[tex]w_{i}[/tex] ) , where i = 1, 2,.... n

W= weighted average

n = number of terms to be averaged

w = weight applied to x values

x = data values to be averaged

According to the question,

Given,

Weight applied to quiz 'w₁' = 25%

Weight applied to homework 'w₂' = 10%

Weight applied to to unit tests 'w₃'= 30%

Weight applied to labs 'w₄' = 35%

Average on quiz Roberto earned 'x₁'= 94%

Average on homework Roberto earned 'x₂'= 94%

Average on unit test Roberto earned 'x₃'= 94%

Average on labs Roberto earned 'x₄' = 94%

Substitute the values in the formula we get,

Weighted average

= [ (25 × 94) +(10× 99) + (30 × 92) +(35 ×94)] / ( 25+10+30+35)

= (2350 +990 + 2760 + 3290) / 100

= 9390 / 100

=93.9%

Hence, Roberto's science grade as per weighted average is equals to 93.9%.

Learn more about weighted average here

https://brainly.com/question/18554478

#SPJ2

Answer:

D)

Step-by-step explanation:

Because -12 to 1 is 5 min.

Answer:

it takes five minutes for the minute hand to travel from one number to the next

Step-by-step explanation:

5

1) Unanswered (Sorry)

2) Find the cost of a four-line ad
[tex]x = 4 \\Therefore,\\c(4) = 30[/tex]

3) Find the cost of a ten-line ad
[tex]x = 10\\Therefore,\\c(10) = 30 + 5(x - 4)\\c(10) = 30 + 5x - 5(4)\\c(10) = 30 + 5x - 20\\c(10) = 30 + 5(10) - 20\\c(10) = 30 + 50 - 20\\c(10) = 60[/tex]

Answer:This law of exponents can only be used when the bases are equal.

Step-by-step. explanation:

Answer:

16months

=$1532

Step-by-step explanation:

Daito

780+47x=220+82x

780-220=82x-47x

560=35x

x=16

=16 months

Answer:

Step-by-step explanation:

First you would multiply 4x12 l

next you will get 36l

Finally you would divide it by some # to get your answer .

Answer:

I think it's C)144. because I think it's C

Caleb placed 3 yellow balls and 4 red balls in a row. The possible visually distinct rows are 144.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

It is given that Caleb placed 3 yellow balls and 4 red balls in a row.

So, visually distinct rows are possible

= 4 x 3 x 2 x 3 x 2

= 144

Thus, The possible rows are 144.

Learn more about combinations;

https://brainly.com/question/19692242

Answer:

  a. (4, 26)

  b. The number of people jogging in 2004 was 26 million.

  c. 43 million

Step-by-step explanation:

To complete the ordered pair, use the given first value of the pair as the value of the variable in the equation. Evaluate the equation to find the second value of the ordered pair:

  y = x +22

  y = 4 +22 = 26

The ordered pair is (4, 26).

__

The ordered pair tells you (years after 2000, number of joggers in millions). That means the ordered pair (4, 26) tells you 4 years after 2000, there were 26 million joggers.

__

21 years after 2000, the value of x is 21, so the value of y is ...

  y = 21 +22 = 43

There will be 43 million joggers in 2021.

Answer:

387-141=246

Step-by-step explanation:

    387

   - 141

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

     246

Answer:

Step-by-step explanation:

∠DEH=∠IHE (alternate angles)

the greatest will be  + 567

then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99

Answer:

A. True

B. True

C. False

D. False

Answer:

Convert 7 1/8 to an improper fraction.

Simplify 7 * 8 to 56

-56 + 1/8 - (-9 1/2)

Simplify 56 + 1 to 57

-57/8 - (-9 1/2)

Convert 9 1/2 to an improper fraction.

-57/8 - (-9 * 2 + 1/2)

Simplify 9 * 2 to 18

-57/8 - (-18 + 1/2)

Simplify 18 + 1 to 19

-57/8 - (-19/2)

Simplify brackets

-57/8 + 19/2

Find the LCD

LCD = 8

Make the denominators the same as the LCD

-57/8 + 19 * 4/2*4

Simplify. Denominators are now the same

-57/8 + 76/8

Join the denominators

-57 + 76/8

Simplify

19/8

Convert to a mixed fraction.

2 3/8

Your answer is D.

Step-by-step explanation:

Answer/Step-by-step explanation:

7x- 4 = -182

Step:

Add 4 to both sides

7x - 4 + 4 = -182 + 4

Simplify

7x = -178

Divide both sides by 7

7x/7 = -178/7

Simplify

x = -178/7

Decimal form = -25.4285714286

~lenvy~

Answer:

x = -178/7

Step-by-step explanation:

Given us that:

Which of the following shows the correct solution steps and solution to 7x- 4 = -182

Thus, the steps are:

Adding 4 to both sides

7x - 4 = -182

      +4       +4

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

7x = -178

Divide both sides by 7

7x/7 = -178/x

Simplify

x = -178/7

Solution - x = -178/7

[RevyBreeze]

The length would be 0.4

The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion

The function is given as:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Differentiate

[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]

Set to 0

[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]

Subtract 0.7 from both sides

[tex]-\frac{4}{2500}x =- 0.7[/tex]

Multiply through by -2500/4

[tex]x =437.5[/tex]

Hence, the horizontal distance which a maximum height is attained is 437.5 meters

In (a), we have:

[tex]x =437.5[/tex]

Substitute [tex]x =437.5[/tex] in p(x)

[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]

Evaluate

[tex]p(437.5) =153.125[/tex]

Hence, the maximum height above the sea level is 153.125 metres

In (b), the maximum height above the sea level is 153.125 metres

The ratio of the height on land and sea is given as:

Land : Sea = 2 m : 20 m

For the maximum height, we have:

Land : 153.125 m= 2 m : 20 m

Express as fraction

Land / 153.125 m = 2 /20

Multiply both sides by 153.125

Land = 15.3125

Approximate

Land = 15.3

Hence, the maximum height above the ground level is 15.3 meters

We have:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Substitute 50 for P(x)

[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]

Using a graphing calculator, we have:

x = 78.465 and 796.535

Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters

Read more about projectile motion at:

https://brainly.com/question/1130127

Answer:

Step-by-step explanation:

Essentially, recall what an absolute value function is.

When you plug number into an absolute value function, or make it an absolute value, you will ALWAYS get a positive version of that number.

When the question asks, what number could be the absolute value of another number, it's asking you what is a possible outcome of making a number an absolute value.

Since we know that making any number an absolute value, makes that number positive. We can get rid of all of the negative answers.

You are left with B.

Answer:

B. 1200

Step-by-step explanation:

Absolute value is the non-negative version of a number/variable. Whether the sign is negative or positive, the absolute value is always positive.

Example:

|-4|=4
|2|=2