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stiks02 [169]
3 years ago
12

Xion drives for 6 hours at 45 mph. How far does he travel? (Unit rate problem)

Mathematics
2 answers:
Oxana [17]3 years ago
7 0
270 hope this solves your question np
Ahat [919]3 years ago
6 0
If he goes 45 miles EACH hour then to solve multiply 45 by 6

45 x 6 = 270 miles
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the perimeter of an equilateral triangle is 39 centimeters. What is the length of an altitude of the triangle ?​
victus00 [196]

Answer: h = 11.26cm

Step-by-step explanation:

Equilateral triangle has equal sides, let the side be xcm , then the perimeter is 3x

Therefore:

3x = 39

x = 39/3

x = 13cm

To find the altitude , we will apply Pythagoras theorem , that is

13^{2}=h^{2}+6.5^{2}

Therefore:

h^{2}=13^{2}-6.5^{2}

h^{2}=169-42.25

h^{2}=126.75

take the square root of both sides

h = 11.26cm

8 0
2 years ago
Which of these is an example of typing at an average rate of 42 words per minute?
Fudgin [204]

Answer:

I think that it is typing 16 words in 3/2 of a minute.

Step-by-step explanation:

16 times 3 = 48

Im sorry if you get this wrong, i tried my best.

6 0
2 years ago
Read 2 more answers
Which represents the solution set of 5(x+5) <85?
oksano4ka [1.4K]

Answer:

X<12 first choice.

Step-by-step explanation:

5(x+5) <85

5x +25 < 85

5x <60

X<12

Hope this helps..

8 0
3 years ago
If £2000 is placed into a bank account that pays 3% compound interest per year,
Likurg_2 [28]

Answer:

There would be 2,120 dollars in that account

5 0
2 years ago
Read 2 more answers
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
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