If
A)8/17
B)8/15
C)15/17
D)15/8

Answer:

m=63

Step-by-step explanation:

6=m/7-3

m/7=6+3

m/7=9

m=9*7

m=63

Answer:

his intrest rate is 7%

Step-by-step explanation:

294/1400=0.21

0.21/3 years = 0.07

0.07=7%

1400*0.07=98

98*3 years = 294

The rate of simple interest the account earned is 7%.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, P = 1400, t = 3 and SI = 294.

∴ 294 = (1400×3×r)/100.

29400 = 4200r.

42r = 294.

r = 7%

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Answer:8 80

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

We have,

[tex]r(x)=2\sqrt{x}[/tex] and [tex]s(x)=\sqrt{x}[/tex]

and [tex](rs)(4)=8[/tex]

To find, the value of [tex](\dfrac{r}{s})(3) =?[/tex]

∴ [tex]r(x)s(x)=2\sqrt{x} \sqrt{x}[/tex]

[tex](rs)(x)=2x[/tex]

Also,

[tex](\dfrac{r}{s})(x) =\dfrac{2\sqrt{x} }{\sqrt{x} }[/tex]

[tex]=2[/tex]

∴ The value of [tex](\dfrac{r}{s})(3)[/tex] = 2

Thus, the value of [tex](\dfrac{r}{s})(3)[/tex] is equal to 2.

You refer:

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Answer:

2y-1/ 3y+1

Step-by-step explanation:

Answer:

11/6

Step-by-step explanation:

6/3+(-1/6)

2+(-1/6)

2-1/6

12/6-1/6

11/6

Answer: 11/6

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

it the 46 one in the pattern

Answer:

202 times with a remainder of 5 but if you need an exact number that i would go with 203 because if you round it up

Step-by-step explanation:

Please, find attached the picture with the whole question.

Answer:

              [tex]9.8gallons\leq x\leq 10.2gallons\\ \\ \ [9.8gallons,10.2gallons][/tex]

Both are different forms to represent the same: the amount of gas is between 9.8 gallons and 10.2 gallons, including the borders.

Explanation:

1. Relation between the number of gallons of gas pumped and the total amount paid:

[tex]Number\text{ }of\text{ }gallons=amount\text{ }paid(\$)/price(\$/gallon)[/tex]

2. Conversion

The amount paid is said to be $ 25 ± $0.50

To transform that into number of gallons, divide by the price of the regular gas: $2.50/gallon

[tex]Number\text{ }of\text{ }gallons=\$25/(\$2.50/gallon)\pm$0.50/(\$2.50/gallon)[/tex]

[tex]Number\text{ }of\text{ }gallons=10gallons\pm0.2gallon[/tex]

3. Absolute value equation (inequality)

              [tex]|x-10gallons|=0.2gallons[/tex]

Solution:

[tex]-0.2\leq x-10\leq 0.2[/tex]

[tex]-0.2+10\leq x\leq 0.2+10[/tex]

[tex]9.8\leq x\leq 10.2[/tex]

Hence, the solution is:

           [tex]9.8gallons\leq x\leq 10.2gallons\\ \\ \ [9.8gallons,10.2gallons][/tex]

The absolute value equation that represents how many gallons of gas Hugo will pump, assuming a cost of $1.60 per gallon, is |1.6g - 25| ≤ 0.50. Solving this, we find Hugo will pump between approximately 15.31 and 15.94 gallons of gas based on his budget of $25 plus or minus $0.50.

Given that Hugo is pumping regular gas into his truck and the total amount he is willing to spend varies between $24.50 and $25.50, we can create an absolute value equation to model this. Assuming the cost per gallon is $1.60, we want to find the number of gallons, represented by 'g', such that the absolute difference between the cost of g gallons and $25 is not more than $0.50.

The absolute value equation would, therefore, be: |1.6g - 25| ≤ 0.50. We can solve this as a compound inequality: -0.50 ≤ 1.6g - 25 ≤ 0.50.

Solving for 'g' in this inequality, we find: 15.3125 ≤ g ≤ 15.9375. This means Hugo will pump between approximately 15.31 and 15.94 gallons of gas.

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the car trave after 12 minute in mile

the car travels 8 miles after 12 minutes.

To find out how far the car travels after 12 minutes, we first need to determine the time interval that includes 12 minutes. From the table, we see that the time intervals are spaced by 10 minutes each.

Since 12 minutes falls between 10 and 20 minutes, we need to find the corresponding distance for this time interval.

Given that the car travels at a constant speed, we can see that the distance traveled in each time interval is constant.

From the table:

- From 0 to 10 minutes, the car travels 8 miles.

- From 10 to 20 minutes, the car also travels 8 miles.

Therefore, if the car travels 8 miles in the first 10 minutes, it would also travel 8 miles in the next 2 minutes (from 10 to 12 minutes).

So, the car travels 8 miles after 12 minutes.

The complete Question is given below:

A car travels at a constant speed. The table shows the distance y (in miles) that the car travels after x minutes. How far does the car travel after 12 minutes?

Time(minutes),  x  0 | 10 | 20 | 30

Distance(miles), y 0 | 8   | 16  | 24

Answer:

She wanted to persuade others that women should not ride bicycle

Answer:

B.

Step-by-step explanation:

Answer:

PC=40 units

Step-by-step explanation:

we know that

The circumcenter is the center of the triangle's circumcircle (the circle that passes through all three of the triangle's vertices)

That means

PC=RC=QC----> is the radius of the circumcircle

step 1

Find the value of x

equate PC and RC

[tex]3x+7=5x-15[/tex]

solve for x

[tex]5x-3x=7+15\\2x=22\\x=11[/tex]

Verify

substitute the value of x

[tex]PC=3x+7=3(11)+7=40\ units[/tex]

[tex]RC=5x-15=5(11)-15=40\ units[/tex]

[tex]QC=51-x=51-11=40\ units[/tex]

so

[tex]PC=RC=QC[/tex] ----> is ok

Answer:

x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

Step-by-step explanation:

Solve for x:

x - 3 = 56/(x + 4)

Cross multiply:

(x - 3) (x + 4) = 56

Expand out terms of the left hand side:

x^2 + x - 12 = 56

Add 12 to both sides:

x^2 + x = 68

Add 1/4 to both sides:

x^2 + x + 1/4 = 273/4

Write the left hand side as a square:

(x + 1/2)^2 = 273/4

Take the square root of both sides:

x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2

Subtract 1/2 from both sides:

Answer:  x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2

To solve the equation x - 9/3 = 56/x + 4 for x, multiply both sides by x, distribute and simplify, factor out x, set each factor equal to zero, and solve for x to get the solutions 0 and 63.

To solve the equation x - 9/3 = 56/x + 4 for x:

Therefore, the solutions for x are 0 and 63.

Answer:

%120

Step-by-step explanation:

Step 1:  Divide the new weight by the original weight.

24/20 = 1.2

Step 2:  Change 1.2 into percent

To make a percent, multiply the number by 100

1.2 * 100 = %120

Answer:  %120

Answer:

y=(-3/4)x+3/2

Step-by-step explanation:

3x+4y-6=0

3x+4y=6

4y=6-3x

4y=-3x+6

y=(-3/4)x+3/2

To convert 3x + 4y - 6 = 0 to y = mx + b form is :[tex]y = -\frac{3}{4}x + 1.5.[/tex]

The equation given is 3x + 4y - 6 = 0. To write it in y = mx + b form, follow these steps:

Now, the equation is in slope-intercept form where m (the slope) is[tex]-\frac{3}{4}[/tex] and b (the y-intercept) is 1.5.

Answer:

64800 fluid ounces of juice.

Step-by-step explanation:

Given:

A factory can fill 225 bottles of orange juice each hour.

Each bottle of juice contains 24 fluid ounces of juice.

Question asked:

How many fluid ounces of juice are filled in each 12 hours shift ?

Solution:

By applying unitary method:

A factory can fill number of bottles in 1 hour =  225 (given)

A factory can fill number of bottles in 12 hours = [tex]12\times 225 = 2700\\[/tex]

Each bottle contains = 24 fluid ounces of juice (given)

2700 bottles contain = [tex]24 \times2700 = 64800[/tex] fluid ounces of juice.

Thus, 64800 fluid ounces of juice are filled in each 12 hours shift.

f(x) = 3x + 3

Solution:

Let us take f(x) = y.

The points indicated in the graph are (0, 3) and (–2, –3).

Slope(m) of the line passing through two points formula:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the given points in the above formula,  

[tex]$m=\frac{-3-3}{-2-0}[/tex]

    [tex]$=\frac{-6}{-2}[/tex]

m = 3

constant is the y-intercept which implies c = 3.

The equation of a line standard form is y = mx + c.

y = 3x + 3

The equation of a line is

f(x) = 3x + 3

∠A = 90°, ∠B = 60° and ∠C = 30°

Step-by-step explanation:

⇒ 12² + (12√3)² = 144 + 432 = 576

⇒ √576 = 24 = a.  This shows that the triangle is a right angled triangle.

So ∠A = 90°

⇒ cos B = AB/BC = 12/24 = 1/2

⇒ ∠B = 60°

⇒ ∠C = 180° - (90° + 60°) = 180° - 150°

⇒ ∠C = 30°

The angle measures of triangle ABC is therefore;

mZA= 90°, m ZB = 60°, m ZC = 30°

By testing for Pythagoras triple;

Hence, the triangle is a right-angled triangle.

We can then evaluate mZC as follows;

Read more on angle measures in triangles;

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Answer: 143

Step-by-step explanation: 19 x 7.5 = 142.5 rounds to 143

Hope this helps

Option A: [tex]28\sqrt{3}[/tex] is the expression equivalent to the expression [tex]4\sqrt{147}[/tex]

Explanation:

The expression is [tex]4\sqrt{147}[/tex]

To find the equivalent expression, let us solve the expression [tex]4\sqrt{147}[/tex]

The square root of 147 can be written as,

[tex]\sqrt{147} =\sqrt{49*3}[/tex]

Since, we know that 49 is a perfect square, we can write the above expression as,

[tex]\sqrt{147} =7\sqrt{3}[/tex]

Multiplying this value with the expression [tex]4\sqrt{147}[/tex], we have,

[tex]4\sqrt{147}=4(7\sqrt{3} )=28\sqrt{3}[/tex]

Thus, the expression which is equivalent to the expression [tex]4\sqrt{147}[/tex] is [tex]28\sqrt{3}[/tex]

Hence, Option A is the correct answer.

Answer:

10

Step-by-step explanation:

Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.

Step-by-step explanation:

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = [tex]1/4 \times 23400[/tex]

= $5850

Step 3:

Amount spent for housing, H = 1/5th of 23,400 = [tex]1/5 \times23400[/tex]

= $4680

Step 4:

Amount spent for clothing, C = 1/10th of 23,400 = [tex]1/10 \times 23400[/tex] = $2340

Step 5:

Amount spent for savings, S = 1/9th of 13,400 = [tex]1/9\times 23400[/tex] = $2600

Step 6:

Amount spent for taxes, T = 1/4th of 23,400 =  [tex]1/4 \times 23400[/tex] =$5850

Step 7:

Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.

Annual Income = F + H + C + S + T + E

Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)

E = 23400 - 21320

E = $2080

Answer:

6450

Step-by-step explanation:

1075*6=6450

Answer:

$6450.00

Step-by-step explanation:

1075 x 6 = 6450

add the .00 because the unit is dollars

Answer:

544 units^2

Step-by-step explanation:

Please see attached picture for full solution.

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

[tex]2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \: 3x - 10 = \frac{52}{2} \\ \therefore \: 3x - 10 = 26\\ \therefore \: 3x = 26 + 10\\ \therefore \: 3x = 36 \\ \therefore \: x = \frac{36}{3} \\ \therefore \: x = 12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}[/tex]

Answer:

Volume = 8 * 3.5 * 14.5 =

406 cubic feet

.65 pounds / cubic foot * 406 =

263.9 pounds

Step-by-step explanation:

Answer:

264 pound if you had to round it

Step-by-step explanation:

Yo sup??

we know that area of a triangle is given by the formula

A=1/2*b*h

where

b=lenght of base

h=height of the triangle

in the given figure

h=x

b=5x/6

plugging in the values, we get

A=1/2*x*5x/6

A=5x²/12

Please name the triangle as ABC and you will get full credit.

Hope this helps

Answer:

still need the answer g?

Answer:

Rajeev walked at 3.5 miles per hour of speed

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance Rajeev walked = 7/8 of a mile = 0.875 miles

Time of walking = 1/4 of an hour = 15 minutes

2. What was the speed in miles per hour?

Let's use the Direct Rule of Three for answering this question, as follows:

Distance in miles     Time in minutes

           0.875                      15

              x                           60

*************************************************

15x = 0.875 * 60

15x = 52.5

x = 52.5/15

x = 3.5

Rajeev walked at 3.5 miles per hour of speed