What is the slope of the line that passes through the points (−3,1) and (7,−14)? Write your answer in simplest form.

Answer:

140 miles.

Step-by-step explanation:

The distance the car travels on 1 litre= 120/30 = 4 miles.

So the distance for 35 litres = 4 * 35 = 140 miles.

The car's fuel efficiency is calculated as 4 miles per liter based on the given data. Using this, it is determined that the car can travel 140 miles on 35 liters of petrol.

To calculate how far a car can travel on 35 liters of petrol, we need to determine its fuel efficiency, which is the distance it can cover per unit volume of fuel. Based on the given that the car can travel 120 miles on 30 liters of petrol, we can write an equation to represent the car's fuel efficiency:

Fuel efficiency = Distance/Volume of fuel = 120 miles / 30 liters = 4 miles per liter

Now that we have the car's fuel efficiency, we can find out how far it can travel on 35 liters of petrol:

Distance on 35 liters = Fuel efficiency × Volume of fuel = 4 miles/liter × 35 liters

Distance on 35 liters = 140 miles

Therefore, the car can travel 140 miles on 35 liters of petrol.

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Answer:

6

Step-by-step explanation:

First, find common denominators for the fractions given. In this case, it will be 24. Remember that what you multiply to the denominator, you multiply to the numerator:

(1/4) x (6/6) = 6/24

(1/8) x (3/3) = 3/24

(1/12) x (2/2) = 2/24

(6/24) + (3/24) + (2/24) = (6 + 3 + 2)/24 = (11)/24

11/24 of the balls are NOT white.

Find the amount that are white. Subtract 11/24 from the total, 24/24:

24/24 - 11/24 = 13/24

Multiply:

26 * (1/8)/(13/24) = (26/8)/(13/24) = (13/4) * (24/13) = (24/4) = 6

6 is the amount of blue balls there are in the bag.

~

Hey!

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1/4 are green.

1/8 are blue.

1/12 are yellow.

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

Solution:

= 1/4 + 1/8 + 1/12

= 6/24 + 3/24 + 2/24

= 11/24

1 - 11/24 = 13/24

13/24 are white.

13x/24 = 26

13x/24 * 24 = 26 * 24

13x = 624

13x/13 = 624/13

x = 48

To find how many blue balls just divide by 8.

48/8 = 6

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

Answer:

There are 6 blue balls.

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

Hope This Helped! Good Luck!

Answer:

5x +4 it's A

Hope this helps

- Que

Answer:

B

Step-by-step explanation:

the absolute value of -13 is 13, and 13 is greater than 5

Answer:

B

Step-by-step explanation:

The absolute value of -13 is 13. Since we know that 13 is greater than 5, B is correct.

Answer:

Its 176

Step-by-step explanation:

just searched it up and got it right.

y=-5n-5

switch the signs to find inverse and solve for y

n=5y-5

n+5=5y

divide by 5

1/5n+1=y

that's your inverse my dude

Answer:

-n - 5

f^-1(x) = 5 or (-n - 5)/5

Step-by-step explanation:

g(n) = -5n - 5

RS | SR

Replace: y = -5n - 5

Switch n & y: n = -5n - 5

Solve for y:

n = -5y - 5. Isolate y

+5 +5

-1(n + 5) = (-5y) -1 Multiply each side by

-1 so that y isn't

negative.

-n - 5 = 5y Divide 5 on each side. 5

5 5 comes from 5y

-n - 5

y = 5

Replace y with f^-1(x):

-n - 5

f^-1(x) = 5

Answer:

No lo se

Step-by-step explanation:

Franco and Lisa are playing a decimal number game where the aim is to correctly fill in the missing number in each decimal. The winner is the one who can do this first. This game requires a strong understanding of decimal places and decimal number values.

Franco and Lisa are playing a game that involves completing decimal numbers. The player who first correctly identifies and writes the missing number in each decimal on the wheel is declared the winner. Here's how Franco and Lisa might play:

To be successful in this game, both players need to have a solid understanding of decimal places and the value of decimal numbers.

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2700 divide by 100 is 270

Answer:

X = [tex]\frac{13}{16}[/tex]

Step-by-step explanation:

2 (4-8x) + 6 = 1

Multiply parentheses by 2

8 - 16x + 6 = 1

add (8 + 6)

14 - 16x = 1

Move constant to right and change its sign

-16x = 1 -14

Calcualte te difference

-16x = -13

divide bot sides by -16

x = [tex]\frac{13}{16}[/tex]

The given equation 2(4-8x)+6=-1, distribute the 2, combine like terms, and then isolate x to find that x = 15/16.

The student has provided an equation 2(4-8x)+6=-1 and requires help solving for x. To solve this equation, we first distribute the 2 across the terms in the parenthesis:

8 - 16x + 6 = -1.
Combine like terms:
14 - 16x = -1.
Subtract 14 from both sides:
-16x = -15.
Divide both sides by -16:
x = 15/16.

Therefore, the solution is 15/16.

Complete Question: Solve the equation 2(4-8x)+6=-1 using Method 2 (interpreting expressions as a single quantity).

Answer:

E= 4f - 1       f= e+1/4

Step-by-step explanation:

Answer: ∠1 = 109°    ∠2 = 71°

Step-by-step explanation:

If the two angles form a linear pair, then their sum is 180°

  ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

              8x + 20  = 180

              8x          = 160

                x          = 20

∠1 = 5x + 9

    = 5(20) + 9

    = 100   + 9

    = 109

∠2 = 3x + 11

     = 3(20) + 11

     =    60  + 11

     =         71

  CHECK:

∠1   + ∠2 = 180°

109° + 71° = 180°

     180°   = 180°  [tex]\checkmark[/tex]

Answer:

4ft

Step-by-step explanation:

4 X 4 X 4 = 64 sjixozoxoz

The length of one side of the cube is 4 feet.

In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

The given volume of the cube is,

V = 64 cubic feet

Let a be the length of each side of the cube.

Therefore volume V of the cube is given as,

V = (side)³

or, V = a³

Since, V = 64 cubic feet

Therefore,

a³ = 64 cubic feet

Taking cube root both the side we get,

∛a³ = ∛64 cubic feet

or, a = ∛64 cubic feet

Since, ∛64 = 4

Therefore,

a = 4 feet

which is the length of one side.

Thus, the length of one side of the cube is 4 feet.

To learn more about cube:

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Answer: C

Step-by-step explanation: You want to find the square root of each number given. The square root of 400 is 20, and the square root of 100 is 10

Answer: 24

Step-by-step explanation:

114 divided by 4 3/4 = 24

Answer:

24 servings

Step-by-step explanation:

the answer is simply 114 ÷ 4 3/4

Answer:

32

3

=10 and 2 over 310

2

3

≈10.667

2.

Answer:

$1.25 per sq ft

Step-by-step explanation:

2,000,000,000 ÷ 1,600,000,000 = 1.25

Step-by-step explanation:

5x<-3

x<-0.6

and there we go

Answer:

[tex]x\in (-\infty, -\frac{3}{5})[/tex]

Step-by-step explanation:

Here, the given inequality,

[tex]10x < -6[/tex]

Since, 1/10 > 0

Thus, if we multiply both sides by [tex]\frac{1}{10}[/tex], the sign of the inequality will not change

That is,

[tex]x < -\frac{6}{10}=-\frac{3}{5}[/tex]

[tex]\implies x\in (-\infty, -\frac{3}{5})[/tex]

Answer: 27 can go in completely to 70 twice, or, if you want an exact decimal, 2.5925 (...it goes on and on) times

Step-by-step explanation: what you have to do is divide, 70 divided by 27. What “go into” means is to divide, always. What division does is show how much a number can fit inside another one. For example, 4 divided by two. If four is split into two equal parts, you get two. So four divided by two is two.

The exact same thing is happening in this situation; except with bigger numbers that don’t go into each other evenly.

So, the answer is approximately two or exactly 2.59..

The number 27 goes into 70 a total of 2 whole times when only considering whole numbers. The result of dividing 70 by 27 gives approximately 2.59 if we take decimals into account.

The question is asking how many times does 27 go into 70. In other words, this is a division problem where 70 is the dividend (the number being divided) and 27 is the divisor (the number we are dividing by).

To find the answer, we simply divide 70 by 27. Using a calculator, we find that 70 divided by 27 equals approximately 2.59.

However, if we're only counting whole times, we only count the number before the decimal point. Therefore, 27 goes into 70 a total of 2 whole times.

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Answer:

Speed of first car = 30 km/h and speed of second car = 55 km/h

Step-by-step explanation:

Speed = distance/time

Given: distance travelled by one car = 120 km

Distance travelled by second car = 220 km

Now let speed of first car be x km/h.

∴ Speed of second car = (x + 25) km/h  (∵ One car travels 25 km\h faster than another)

Now, if the time is constant, then ratio of distance to speed of first car will be equal to the ratio of distance to speed of another car. e.g.,

[tex]\frac{distance\ travelled\ by\ first\ car}{speed\ of\ first\ car} = \frac{distance\ travelled\ by\ second\ car}{speed\ of\ second\ car}[/tex]

[tex]\frac{120}{x} = \frac{220}{x+25}[/tex]

[tex]220x = 120 (x +25)[/tex]

[tex]220x = 120x + 3000[/tex]

[tex]100x = 3000[/tex]

[tex]x = 30[/tex]

∴ Speed of first car = 30 km/h

Speed of second car = (30 + 25) = 55 km/h.

Answer:

The company decided to increase the price by $9.60, or by 48%.

Step-by-step explanation:

To measure the price difference in dollars is simple, just subtract the old price from the new one:

[tex]29.60 - 20 = 9.60[/tex]

Divide the price change by the old price to find the price increase in percentage:

[tex]9.60 \div 20 = 0.48 \\ 0.48 \times 100\% = 48\%[/tex]

Answer:

Step-by-step explanation:

The last time the customer bought the product it was $20. The price has increased by $9.60.

Subtract the old price from the new one

$29.60 New Price- $20 Old Price=$9.60

Now Divide the Price Change amount of $9.60 by the Old Price $20

$9.60/$20=0.48

0.48X100%=48%

Answer:

The Average Temperature for the week is -1°C

Step-by-step explanation:

First to find the average, you have to combine all the numbers

-3-4+0-2+0+3-1 = -7

Then you have to divide the total, with the number of numbers used to combine to make the total

-7 ÷ 7 = -1

The average temperature is -1°C

Answer:

number 3

Step-by-step explanation:

(3,000+900+70) = 3,970

3,970*10 = 39,700

Answer:

$813.68

Step-by-step explanation:

$650.00

$135.89

+$028.79

$813.68

Answer:

Step-by-step explanation:

63s² = 9 · 7 · s · s = (9s)(7s)

Therefore GCF(9s, 63s²) = 9s

Answer:

StartFraction R Q Over P Q EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle PQR the function sine of angle P is equal to divide the opposite side to angle P (segment RQ) by the hypotenuse (segment PQ)

so

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

therefore

StartFraction R Q Over P Q EndFraction

Answer:

Answer C

Step-by-step explanation:

Answer:

in this case $246,07 is over $100, It mean he will pay just 1%

246,07 x 0,01 = $2,46 is his finance charge

Step-by-step explanation:

Answer:

Hey, put that into desmos and it will give you a graph answer.

Step-by-step explanation:

Answer:

Diapers costs $11 and formula is $13.

Step-by-step explanation:

Let's name diapers as A and formula as B.

Simply the equations:

1A + 2B = $37(1)

2A + 5B = $87(2)

Clear D from one equation.

A = $37 - 2B(1)

Replace D into the other equation.

2*($37 - 2B) + 5B = $87(2)

$74 - 4B + 5B = $87

$74 + B = $87

B = $87 - $74 = $13

Find A, now knowing B.

A = $37 - 2($13)

A = $37 - $26 = $11

Answer:

Cost of a bag of diapers is $11 and cost of one can of formula is $13.

Step-by-step explanation:

Let cost of each diaper = $D and cost of each cans of formula = $C

Malik shops a bag of diapers and 2 cans of formula.

He spends total of $37.

So the equation will be

D + 2C = 37 -------(1)

Next week he stops and buys 2 bags of diapers and 5 cans of formula.

He spends total $87.

Equation for this purchase will be

2D + 5C = 87 ----------(2)

Multiply equation (1) by 2 and subtract it from equation (2).

2(D + 2C) - (2D + 5C) = 2×37 - 87

2D + 4C - 2D - 5C = 74 - 87

-C = - 13

C = 13

From equation (1)

D + 2×13 = 37

D + 26 = 37

D = 37 - 26

D = 11

Therefore, cost of a bag of diapers is $11 and cost of one can of formula is $13.

Answer:

.98¢

Step-by-step explanation:

A quarter is .25¢ a dime is .10¢ and a penny is .1¢. Add the 3 quarters to equal .75¢ then you add the dimes that come out to .20¢. After that add the penny’s that come out to .3¢. Then you add them all together that comes out to .98¢

Ginger found a total of 98 cents. This was calculated by converting the quarters, dimes, and pennies into their respective cent values and then adding those values together.

To solve this problem, we need to remember how much money each type of coin represents:

Ginger found 3 quarters, 2 dimes, and 3 pennies. So, she has:

Adding these all up, Ginger found a total of 75 cents + 20 cents + 3 cents = 98 cents.

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Answer:60

Step-by-step explanation: