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irina1246 [14]
3 years ago
15

Randy has a lot of homework tonight. He needs to work for 45 minutes on social studies, 40 minutes on science, and 1 hour and 15

minutes on math. It will also take him 10 minutes to get ready for bed. If he wants to be in bed at 10:00, what time does he need to start his homework?
Mathematics
2 answers:
mel-nik [20]3 years ago
6 0
He needs to start his homework at 7:10
Bess [88]3 years ago
3 0

Answer:

You add up 45 and 15 to get one hour, then add the remaining 40 and 10. Then the hour. After it is all added up you will have 2hrs and 50. He would need to starts  at 7:10

Step-by-step explanation:


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Solve the system of equations. y= x + 17, y= 3x+1
Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0
3 years ago
PLEASE HELP ME OUT..........
Vlad1618 [11]
Here is your answer

\bold{x=12}

REASON:

Concept used: The opposite sides of a parallelogram are equal.

So, in above given figure

3x+7=5x-17 (measures of opposite sides)

5x-3x= 17+7

2x= 24

x= 24/2

x= 12

HOPE IT IS USEFUL
6 0
3 years ago
Read 2 more answers
Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).
Sergio [31]
Hello,

Equation is y=k(x-1)²-9
and when x=0,y=-6==>-6=k*1²-9==>k=3

y=3(x-1)²-9
when y=0, 3(x-1)²-9=0
==>(x-1-√3)(x-1+√3)=0
x-intercepts are (1+√3,0) and (1-√3,0)

Answer B.

3 0
3 years ago
What are two ways to find the slope of a line?​
DedPeter [7]

Answer:

m = (y - y)/(x - x)

Rise/run

Step-by-step explanation:

4 0
3 years ago
A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
4 years ago
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