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2 years ago

Jocelyn can ride her bike 4 miles in 20 minutes. At this rate, predict how many miles she

Mathematics

1 answer:

TEA [102]2 years ago

6 0

Answer:

10 miles in 50 minutes

Step-by-step explanation:

1. Divide 20 into 4 to see the unit rate of 1 mile.

2. If you continue on from 20 to 50 you will notice it will be 10 miles.

You welcome.

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Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find

Alina [70]

Answer:

Step-by-step explanation:

t/4+t/3=1

(3t+4t)/12=1

7t/12=1

7t=12

t=12/7

x=(12/7)hours

7 0

2 years ago

Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: $\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}$

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

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Learn more about Algebra I: brainly.com/question/27710663

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Topic: Algebra I

5 0

1 year ago

Write the equation of a line, in slope-intercept form (1,1);(-2,-11) Y =

bonufazy [111]

Answer:

Y =4X -3

Step-by-step explanation:

x1 y1 x2 y2

1 1 -2 -11

(Y2-Y1) (-11)-(1)= -12 ΔY -12

(X2-X1) (-2)-(1)= -3 ΔX -3

slope= 4

B= -3

Y =4X -3

6 0

3 years ago

Read 2 more answers

Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still

lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

8 0

3 years ago

Find the value of x round to the nearest tenth

gayaneshka [121]

Tan inverse 3/5 is 30.96
so the answer is x = 31.0

3 0

2 years ago