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3 years ago

15 pts!

Mathematics

1 answer:

shusha [124]3 years ago

3 0

Answer:

They will have 53 CDs when they have the same amount. You have to add the amounts 5 times

Step-by-step explanation:

8+9=17+9=26+9=35+9=44+9=53

18+7=25+7=32+7=39+7=46+7=53

Hope this helps

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The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a

xenn [34]

Answer:

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4 $x$

Let the total number of choir students = 6 $x$

Total number of students = 60

As per question statement, we can write the following equation:

$\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6$

Total number of band students = 4 $\times$ 6 = 24

5 0

3 years ago

Evaluate the function. f(x) = 3x2 + 16 Find f(-1)

SIZIF [17.4K]

Answer:

$f(-1)=19$

Step-by-step explanation:

Evaluating Functions

Given a function y=f(x), evaluate the function for x=a means substituting the variable for the given value.

We have the function:

$f(x)=3x^2+16$

Find f(-1):

$f(-1)=3(-1)^2+16$

$f(-1)=3(1)+16$

$f(-1)=3+16$

$\boxed{f(-1)=19}$

4 0

3 years ago

Ross drives 280 miles in 4 hours. If Ross continues to drive at the same rate, how many miles can he drive in 12 hours?

const2013 [10]

Answer:

Step-by-step explanation:3,360 is your answer

8 0

4 years ago

Read 2 more answers

If the slope of GH is −4/5 and the slope of HJ is 3/4, find the slope of JK so that GHJK is a parallelogram. quick answer pls

sp2606 [1]

Answer:

Slope of JK = -4/5

Step-by-step explanation:

We know that GHJK is a parallelogram. If GHJK is a parallelogram then the sides of parallelogram will be:

GH, HJ, JK, GK

Hence the opposite sides will be:

GH and JK

HJ and GK

We know that opposite sides of parallelogram are parallel to each other and the slopes of parallel lines is equal.

So the slope of GH and JK will be equal.

And slopes of HJ and GK will be equal.

As we are given the slope of GH which is -4/5, the slope of JK will also be -4/5 because both lines are parallel.

6 0

3 years ago

Amy drives her car until the gas gauge is down to 1/8 full, then she fills the tank to capacity by adding 14 gallons. What is th

Kazeer [188]

Answer:

Amy's car tank capacity is 16 gallons.

Step-by-step explanation:

Let the capacity of the tank be 'x'

Given:

Amount of gas in the car till it is refilled = $\frac{1}{8}\times x = \frac{1}{8}x \ gallons$

Amount of gas added = 14 gallons.

We need to find the capacity of the tank.

Solution:

Now we can say that

Total Capacity of the tank is equal to sum of Amount of gas in the car till it is refilled and Amount of gas added.

framing in equation form we get;

$x=\frac{x}{8}+14$

Combining the like terms we get;

$x-\frac{x}{8}=14$

Now making the denominators common we will use L.C.M.

$\frac{8x}{8}-\frac{x\times1}{8\times1}=14\\\\\frac{8x}{8}-\frac{x}{8}=14\\\\\frac{8x-x}{8}=14\\\\\frac{7x}{8}=14$

Now multiplying both side by 8 we get;

$\frac{7x}{8}\times 8=14\times8\\\\7x = 112$

Now dividing both side by 7 we get;

$\frac{7x}{7}=\frac{112}{7}\\\\x=16\ gallons$

Hence Amy's car tank capacity is 16 gallons.

8 0

3 years ago