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A car uses fuel at a rate of 15 miles per gallon. Predict how many miles the car can travel on 31.5 gallons of fuel.

Answer: 9

Step-by-step explanation: To find the mode, you order the numbers from lowest to highest and see which number appears the most often.

Answer:

[tex] \frac{160}{3} [/tex]

Step-by-step explanation:

Step 1: A discount of

[tex] \frac{1}{3} [/tex]

means that the current price is two thirds of the original cost.

Step 2: The total cost is

[tex]80 \times \frac{2}{3} = \frac{160}{3} [/tex]

and the answer follows.

Solution:

Note that:

Simplify the expression.

Lynn will pay $53.33.

Okay so here is how it works:

Because 2:3:5 is the ratio 10 is the total because 2+3+5 is 10 right?

You therefore equate 10 to 4000

10=4000

so if 10 is equal to 4000 what about 2,3 or 5?

2/10×4000=800

3/10×4000=1200

5/10×4000=2000

Hope this anwered your question

The measure of angle x from the diagram is 102 degrees

From the given diagram, we can see that the measure of angle "x" lies on the same line with 39 degrees. Since the sum of angles on a straight line is 180 degrees, hence;

39 + x + 39 = 180

78 + x = 180

Subtract 78 from both sides

78 + x - 78 = 180 - 78

x = 180 - 78

x = 102 degrees

Hence the measure of angle x from the diagram is 102 degrees

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Answer:

5600 m²

Step-by-step explanation:

The perimeter of a rectangle is 2x + 2y = 300

If we have a ratio of length to breadth, we can just assign variables to simplify the problem. It doesn't matter if x is breadth or length and the same goes for y. But in this case, I just choose x as length and y as breadth.

x = 8n

y = 7n

2(8n) + 2(7n) = 300

30n = 300

n = 10

so, plugging n into x and y

x = 8(10) = 80

y = 7(10) = 70

Area of a rectangle

A = xy

A = (80)(70) = 5600 m²

half of 4 is 2

22 * 2 44

Answer:

Answer B
z = 15

Step-by-step explanation:

The question is asking you what the value of each triangle would be if the total was 45 (The square). A equation for this would be:
45 = 3z

divide 3 on both sides to get:

15 = z

Answer:

4p + 4

Step-by-step explanation:

Original expression:

4(p + 3) - 8

Apply the distributive law:  a(b + c) = ab + ac

⇒ 4p + 12 - 8

Subtract 8 from 12:

⇒ 4p + 4

Answer:

r < 4/7

Step-by-step explanation:

35r−21<−35r+19

35r + 35r < 19 + 21

70r < 40

r < 40/70 or r < 4/7

Answer:

[tex] \frac{5}{6} \: - \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{5}{6} [/tex]

The value of angle x which is substended in the circle will be D. 342.6°.

From the information given, it has been depicted that the value of the angle that's facing x is 17.4°.

Therefore, the value of x which is inscribed in the circle will be:

= 360° - 17.4°

= 342.6°

In conclusion, the correct option is 342.6°.

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36.9 / 60 = 61.5% on shoes and 38.5% on the shirt

Answer:

As time increases, grams decrease

To describe the relationship between the two quantities, we first have to identify what those two quantities are.

Well, it says it right on the graph.

Our two quantities are time (the x value) and grams (the y value)

So, what is the relationship between the two quantities?

Well, let's first look at what each one is doing.

Well, time is increasing

Grams, however, are decreasing

So, the relationship is as follows:

As time increases, grams decrease

Answer:

C

Step-by-step explanation:

Causation is when one thing causes another.

Correlation means one thing is related to another but doesn't cause it.

A - we know more rain means more rainfall which means more water in a river.

B - We know hotter temperature means things melt or evaporate faster.

C - This does not work. How does vision loss cause people to have hearing aids? There might be a correlation but it can't cause it.

D - We know fewer mistakes mean higher grades.

Which situation best demonstrates the phrase "correlation is not causation"?

O As rainfall increases, so does the water level in the river.

O The hotter the temperature, the faster ice will melt

O As the number of people with vision loss increases, the sale of hearing aids increases. ✓

O The fewer mistakes a student makes on a math test, the better their grade is on the math test.

Answer:

The answer is $30

Step-by-step explanation:

Markup refers to the amount added to the cost price of goods to cover overhead and profit.

The vase was bought for $25, then is now selling for $55

$55-$25=$30

hope this helps please mark brainliest :)

Answer:

Neither

Step-by-step explanation:

To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.

For two lines  y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate  k1 and k2.

To calculate the slope k of any line, you have to change the equation to y=kx+b

For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))

For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)

Now you can get the answer: The two lines neither parallel nor perpendicular

Answer:

D. Parallel

Step-by-step explanation:

When Graphed, These two equations bring up lines that are parallel to each other

Answer:

12/17

Step-by-step explanation:

total that are NOT Toe Knows shoe (7) plus total that are NOT pleased (10) and subtract total that are not toe knows and not pleased (5)

7 + 10 - 5 = 12

over total (17)

12/17 doesn't simplify

Based on the calculations, the location of the earthquake’s epicenter is at (-1, 1).

An epicenter can be defined as the point on the surface of planet Earth, which is perpendicular to the hypocenter (focus) and directly above the earthquake’s origin. Also, it indicates where the seismic waves from an earthquake are most intense.

For this exercise, we would set the epicenter at x and y. Using the equation of a circle, we have the following:

At A (2, 1) and 3 miles away;

[tex](y-1)^2+(x-2)^2=3^2[/tex]   ......equation 1.

At B (-5, 3) and 4 miles away;

[tex](y-3)^2+(x-(-5))^2=4^2\\\\(y-3)^2+(x+5)^2=4^2[/tex]   ......equation 2.

At C (10, 1) and 5 miles away;

[tex](y-1)^2+(x-10)^2=5^2[/tex]   ......equation 3.

Subtracting eqn. 2 from eqn. 1, we have:

[tex](x-2)^2-[(x+5)^2]=3^2-4^2\\\\x^2-2x-2x+4-[(x^2+5x+5x+25)]=9-16\\\\x^2-4x+4-x^2-10x-25=-7\\\\-14x-21=-7\\\\-14x=-7+21\\\\-14x=14\\\\x=\frac{-14}{14}[/tex]

x = -1 when y = 1.

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Answer: i used desmos to graph the circles and from the graph, you can tell that the point of intersection (epicenter) is (5, 1)

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation:

A right trapezoid has 2 parallel sides and 2 adjacent right angles.

In geometry, the base of a prism is the actual shape.

So the base of a triangular prism is the triangle, similarly the base of a pentagonal prism is the pentagon, etc.

Therefore, the base of a trapezoidal prism is the trapezoid itself.

If the prism is cut parallel to the base, then the cross section will be the same shape as the base.  So in this case, it will be a trapezoid.

Answer:

sQUARW

Step-by-step explanation:

Answer:

[tex]=13a^{437}+12a[/tex]

Step-by-step explanation:

[tex]\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a[/tex]

[tex]=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a[/tex]

[tex]=\left(a^{436}+1\right)\cdot \:13a-a[/tex]

[tex]=13a\left(a^{436}+1\right)-a[/tex]

[tex]=13a^{437}+13a-a[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:13a-a=12a[/tex]

[tex]=13a^{437}+12a[/tex]

Answer:

56

Step-by-step explanation:

180 = Triangle total angle amount

180 - 68 = 112

112/2= 56

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PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

40 miles per hour and .025 hours per mile

Step-by-step explanation:

480/12=40

12/480 = .025

Answer:

Alan Mathison Turing OBE FRS was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist.

Born: June 23, 1912, Maida Vale, London, United Kingdom

Died: June 7, 1954, Wilmslow, United Kingdom

Turing's main contribution to mathematics, however, was his work on computation theory. Presaging the invention of the modern computer, Turing designed an abstract computing device known as the Turing machine — an entirely virtual construct which could perform calculations and follow instructions.

Before we solve for each angle, let's find the bottom left angle of the triangle.

We know that:

This means that:

Step-by step calculations:

⇒ 106 + x = 180

⇒ 106 - 106 + x = 180 - 106

⇒ x = ∠BCA = 74°

We know that:

⇒ Sum of the interior angles of the triangle: 180°

This means that:

⇒ (74) + (3y + 22) + (4y) = 180

Step-by step calculations:

⇒ (74) + (3y + 22) + (4y) = 180

⇒ 96 + 7y = 180

⇒ 96 - 96 + 7y = 180 - 96

⇒ 7y = 84

⇒ 7y/7 = 84/7

⇒ y = 12

Step-by step calculations:

⇒ ∠B = 3y + 22

⇒ ∠B = 3(12) + 22

⇒ ∠B = 36 + 22

⇒ ∠B = 58°

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

⇒ ∠A = 4y

⇒ ∠A = 4(12)

⇒ ∠A = 48°

Answer:

Q8 It is because the data collected are too scattered and cannot show an obvious trend.

if it's correct pls mark brainliest tks

On the first day the company is giving Rs124, 000.

On the fifteenth day the company will give Rs 125400

The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.

Therefore, the sequence will be as follows;

124,000, 124,100, 124,200 .......

i.

The amount they will give on the first day is Rs124, 000

ii

The sequence is increasing by 100. Therefore,

common difference = 100

first term = 124, 000

Therefore,

a₁₅ = 124000 + (15 - 1)100

a₁₅ = 124000 + 1400

a₁₅ = 125400

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