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frozen [14]
4 years ago
13

What is the distance between -4 and -1 on a number line

Mathematics
1 answer:
icang [17]4 years ago
6 0

Answer: The distance is 3.

Step-by-step explanation: Start on a number line from 0. Go back 4 and mark it at -4. Then go back to 0 and go back 1 and mark it at -1. If you count the space between -4 and -1 you will get 3 spaces.

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On Saturday, mason biked 1.5 hours at a speed of 11.9 miles per hour. on Sunday, he biked 3.2 hours at a speed of 14.8 miles per
solniwko [45]
1.7 miles: subtract 1.5 from 3.2 which equals 1.7 (make sure to line up the decimals!)

3 0
4 years ago
How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compoun
algol [13]

Answer:

Matthew's money will double fastest in 6 years.

Step-by-step explanation:

<u><em>The complete question is</em></u>

Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?

we know that

The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.

so

Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

\frac{72}{12}=6\ years

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

\frac{72}{8}=9\ years

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

\frac{72}{4.5}=16\ years

therefore

Matthew's money will double fastest in 6 years.

7 0
3 years ago
Noah's Café sells special blends of coffee mixtures. Noah wants to create a 20-pound mixture with coffee that sells for $9.20 pe
Mashutka [201]

Answer:

Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds

Step-by-step explanation:

Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.

From the question, we know he wants to make 20 pounds of coffee

Thus;

x + y = 20 •••••••••••(i)

Let’s now work with the values

For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x

For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y

The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6

Thus by adding the two costs together we have a total of $139.6

So we have our second equation;

9.2x + 5.5y = 139.6 •••••••(ii)

From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

9.2x + 110 -5.5x = 139.6

9.2x -5.5x = 139.6-110

3.7x = 29.6

x = 29.6/3.7

x = 8 pounds

Recall;

y = 20 - x

y = 20-8

y = 12 pounds

7 0
4 years ago
A geometry class has a pizza party. There are 14 students that will have pizza. Each pizza has 8 slices. The teacher wants to bu
german
Buy 2 pizzas.... ...............
7 0
4 years ago
Which graph represents 2x-5y&lt;15?
disa [49]

Answer:

Step-by-step explanation:

First view 2x-5y<15 as the equation 2x - 5y = 15.  Find the x- and y-intercepts and plot them:  

x-intercept:  let y = 0 and find x:  x = 15/2.  Plot (0, 15/2).

y-intercept:  Let x = 0 and find y:  y = -3.  Plot (0, -3).

Draw a dashed line through these two points.  Shade the area BELOW this line.

4 0
3 years ago
Read 2 more answers
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