Two numbers are in a ration of 3:7, the larger exceeds the smaller by 12.
What is the larger number?

Answer:

x = -2, y = -4

x = -1, y = -1

x = 0, y = 2

x = 1, y = 5

Step-by-step explanation:

Just apply the formula into the different values for x.

x = -2

y = 3(-2) + 2

  = -6 + 2

  = -4

x = -1

y = 3(-1) + 2

  = -3 + 2

  = -1

x = 0

y = 3(0) + 2

  = 0 + 2

  = 2

x = 1

y = 3(1) + 2

  = 3 + 2

  = 5

Answer:

$40

Step-by-step explanation:

The use of the word "mental math" means round to the nearest whole. By doing this you turn $12.98 into $13 and $1.02 into $1 which will give you $40 in total. This problem doesn't need to round as it is a simple problem. The true answer is $12.98 + $17.50 + $8.50 +$1.02= $40.

Answer:

The width of the rectangle is 20 inches.

Step-by-step explanation:

Since the ratio of length to width is 6:5, the width will be 5/6 of the length. To find 5/6 of 24, multiply 24/1 by 5/6 and simplify. (24/1 is the fraction form of 24 and makes solving the problem a little easier.)

— 24/1 * 5/6 = 120/6

— 120/6 = 20

The width of the rectangle is 20 inches.

Answer:

1250 Kilometers.

Step-by-step explanation:

Start by finding the proper ratio of 5000:6. Now divide 6/1.5 to see what we need to divide 5000 by. 6/1.5 is 4. So divide 5000 by 4. This gives you an answer of 1250 kilometers.

Answer:

[tex]1250km[/tex]

Step-by-step explanation:

To find how far the plane can travel in [tex]1.5[/tex] hours, we need to first find the speed of the plane.

It is given that the plane can travel [tex]5000[/tex] kilometers in 6 hours, so the following equation can be written:

[tex]s = 5000km/6hours[/tex] ([tex]s[/tex] refers to the speed of the plane)

[tex]= 833\frac{1}{3}km/hour[/tex]

To find how far the plane travels in [tex]1.5[/tex] hours, we can multiply the distance it travels in 1 hour to [tex]1.5[/tex] hours:

Distance travelled [tex]= 833\frac{1}{3}\times 1.5[/tex]

[tex]=1250km[/tex]

Hope this helps :)

Answer:

C the function on the graph has the same rate of change, but a lower starting point

Step-by-step explanation:

they both have the slope of 5, and the graph's y-intercept is -6. -6<5.

Answer:

I would say C. The function shown on the graph has the same rate of change but a lower starting points.

Step-by-step explanation:

I said C because if you look at the slope in the equation which is 5x and look at where the line intercepts the Y axis you can see that the rise if 5 (going up) and the run (going over) is 1 and that gives you the next point. But the 5 in the equation is higher than the starting point on the Y axis so that's why I chose the one that said the lower starting point.

hope this helps.

Answer:

f(-2) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 8x² + 5x - 2

x = -2

Step 2: Evaluate

Answer:

50°

Step-by-step explanation:

Sum of interior angle is equal to the sum of exterior angle

The events of picking marbles from the jar is independent

An event is independent if the occurrence of one event does not depend on another event.

For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.

In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.

To learn more about independent events, please check: https://brainly.com/question/1393117?referrer=searchResults

Answer:

0.267 or 26.7%

Step-by-step explanation:

The probability of an event happening is calculated by dividing the favorable outcomes by all outcomes:

The sum of all events (marbles) is 6 + 15 + 8 + 1 = 30

The number of favorable events is 8

Therefore, the probability is 8/30 ≈ 0.267 or 26.7%

Answer:

The two number are :

x = 1411

y = 1079

Step-by-step explanation:

Let the two numbers = x and y

The sum of two numbers is 2490

x + y = 2490..... Equation 1

If 6.5 percent of one no. is equal to 8.5 percent of the other,

Hence:

6.5% of x = 8.5% of y

0.065x = 0.085y

Make x the subject of the Formula

x = 0.085y/0.065

x = 1.308y

We substitute 1.308y for x Equation 1

x + y = 2490..... Equation 1

1.308y + y = 2490

2.308y = 2490

y = 2490/2.308

y = 1078.8561525

y = 1079

x + y = 2490..... Equation 1

x = 2490 - y

x = 2490 - 1079

x = 1411

Answer:

$18.40

Step-by-step explanation:

480/30= 16

$16 is the amount earned per hour

16×.15= 2.40

$2.40 is 15% increase in the amount she earns per hour

16+2.40=18.40

$18.40 is hourly rate in dollars after the increase

Answer: 3/49 as a decimal is 0.06122

Answer: 7t-22

Step-by-step explanation:

Did this question in my notes lol

Answer:

b=

2

27

​

=13.500

Step-by-step explanation:

Answer:

The value of x is -1 when h(x) = 0

Step-by-step explanation:

Given function is:

[tex]h(x) = 4x+4[/tex]

The function is a linear function with one input.

We have to solve for x when h(x) = 0 this means that we have to put h(x) = 0 and find the value of x.

So,

[tex]h(x) = 0\\4x+4 = 0[/tex]

Subtracting 4 from both sides

[tex]4x+4-4 = 0-4\\4x = -4[/tex]

Dividing both sides by 4

[tex]\\\frac{4x}{4} = \frac{-4}{4}\\x = -1[/tex]

Hence,

The value of x is -1 when h(x) = 0

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

Explanation:

Look through the table to see when f(x) = g(x)

This happens when both are equal to 1, which is in the fourth row, or when x = -1.

In other words,

So f(-1) = g(-1)

We can then say the solution to f(x) = g(x) is x = -1.

Answer:

52 miles

Step-by-step explanation:

Step one:

given data

Buckeye truck rentals

daily rate of $59.99

plus $0.34/mile

let the number of miles be x

and the total charge be y

so

y= 0.34x+59.99---------------1

Goodyear truck rentals

daily rate of 58.95

plus $0.36/mile

let the number of miles be x

and the total charge be y

so

y= 0.36x+58.95---------------2

Step two:

Equate the two equations above to find x

0.34x+59.99=0.36x+58.95

collect like terms

59.99-58.95=0.36x-0.34x

1.04=0.02x

divide both sides by 0.02

x= 1.04/0.02

x=52 miles

Answer:

C.

Step-by-step explanation:

Hope this helps.

Answer:

y = -7x + 30

Step-by-step explanation:

Answer:its -1and 1

Step-by-step explanation:

because positive and negative intervals

목록에있는 모든 것을 5 개의 동작으로 가져와야합니다.

Answer: Sarah is correct

Step-by-step explanation:

A composite number is referred to as a positive integer which is gotten when someone multiplies two positive integers that are smaller than the number. We should note that we should not use one while multiplying.

A prime number is a number that can only be divided when the number is being divided by one and itself. Examples are 2, 3, 7, 11 etc.

Based on the above analysis, 2 is a prime number while 4 is a composite number. Therefore, Sarah is correct.

Answer:

line CN is the altitude and AE is the median if i am correct

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Factorize:

64= 2x2x2x2x2x2

160= 2x2x2x2x2x5

224=2x2x2x2x2x7

If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.

Hope this helps plz hit the crown :D

The greatest common factor of 64,160, and 224 will be 32.

The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.

Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.

Factorize number 64.

64 = 2x2x2x2x2x2

Factorize the number 160.

160 = 2x2x2x2x2x5

Factorize the number 224.

224 = 2x2x2x2x2x7

The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.

To know more about the greatest common factor follow

https://brainly.com/question/219464

#SPJ2

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Answer:

depth = 6th + 2(number of years)

Answer:

Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30

Because he needs both small and large another answer is x>0 and not x  0

Finally because he need at least dozen large cones the last answer is y

Step-by-step explanation: