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Nata [24]
3 years ago
7

Which numbers are a distance of two units from eighths on a number line?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

\Huge \boxed{\mathrm{-1.875 \ and \ 2.125}}

\rule[225]{225}{2}

Step-by-step explanation:

Eighths is 1/8 or 0.125.

Two units of distance from 0.125 can be :

0.125-2=-1.875 \\\\\\ 0.125+2=2.125

\rule[225]{225}{2}

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For a special event, a restaurant charges a one-time setup fee, plus a charge for each person attending the event. The charge fo
Rashid [163]

Any linear function is of the form y=mx+b

Here m is slope and b is y intercept.

Slope is difference in y divided by different in x values .

In the question for 5 persons cost is $100 and for 10 persons cost is $162.50

So the points are (5,100) and (10,162.50)

Slope m=\frac{162.50-100}{10-5}=12.50

We can find the value of b by taking m=12.50 and (x,y)=(5,100)

Substitute these values in y=mx+b

100=12.50(5)+b

100=62.50+b

Subtracting 62.50 both sides

b=100-62.50

b=37.5

a) Put m=12.50 and b=37.50 to get the equation

y=12.50x+37.50

b)Rate of change is the m value or the slope of the function.

Initial value that is (5,100) gives us one of the points to find the rate of change.

7 0
3 years ago
Help me! Im having trouble if you can please answer and give an explanation! The best one will get brainlist!
jasenka [17]
For the second work sheet:
5 2/8 - 4 1/4= 1 so NO
8 3/4 - 7 1/2= 1 1/4 so YES
2 1/8 - 1 7/8= 1/4 so NO
9 5/12 - 8 1/6= 1 1/4 so YES
Sorry if its not enough explanation, hope it helps!
8 0
2 years ago
On another question the rest
Strike441 [17]
24 sponge fingers and 420 jelly
5 0
3 years ago
Write the following equation in slope-intercept form.<br> 1/3 - y+6=0
Radda [10]

Answer:

y=19/3

Step-by-step explanation:

4 0
3 years ago
A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i
Natasha_Volkova [10]

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

5 0
2 years ago
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