A science club at Emily's middle school has 25 members. Only 40% of the

Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3,5) Which other ordered pair co

madam [21]

Answer:

(6, 10)

Step-by-step explanation:

(6, 10) because it can go in a straight line in the same rate.

4 0

3 years ago

Find the sum of the first 47 terms of the following series, to the nearest integer.

topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

$18-13=5,\:\quad \:23-18=5$

As the difference between all the adjacent terms is the same.

so

$d=5$

$a_1=13$

Arithmetic sequence sum formula

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

Put the values

$d=5$

$a_1=13$

$n=47$

$=47\left(13+\frac{5\left(47-1\right)}{2}\right)$

$=47\left(13+115\right)$

$=47\cdot \:128$

$=6016$

Thus, the sum of the first 47 terms of the given series = 6016

8 0

3 years ago

Fill in the missing numbers below.

Levart [38]

Answer:

5 feet + 12 inches = 2 yards

48 inches = 1 foot + 1 yard

5 feet = 3 feet + 24 inches

Step-by-step explanation:

To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:

1 feet = 12 inches

3 feet = 1 yard

To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.

12 inches = 1 feet

Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.

Blank inches = 1 foot + 1 yard

To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.

Blank feet = 3 feet + 24 inches

Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.

8 0

2 years ago

Can somebody help me with this problem

Mekhanik [1.2K]

Break the shape into 2 along the perforated line. now you have two rectangular prisms. find the volume of each and add them together to get your answer.

Rectangular prism: length*width*height
RP1) 10*8*14=1120
RP2) 10*10*8=800
total: 1920

3 0

3 years ago

Which of the following shows the graph of y = 4x 3? on a coordinate plane, an exponential function starts at y = 3 in quadrant 2

ZanzabumX [31]

The graph of the linear equation y = 4x + 3 can be seen at the end of the answer.

<h3>How to find the graph of the given line?</h3>

Here we have the linear equation:

y = 4x + 3.

To graph it, we need to find two points that belong to the line, to do that, we evaluate in two different values of x. I will use x = 0 and x = 2.

When x = 0.

y = 4*0 + 3 = 3

So we have the point (0, 3).

When x = 2:

y = 4*2 + 3 = 8 + 3 = 11

So we have the point (2, 11)

Now we just need to graph these two points and connect them with a line. The graph of the linear equation is the one you can see below.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ5

5 0

2 years ago