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erik [133]
3 years ago
9

Uma wants to buy a video game system for $270. She has $60 and is saving $30 each week. Solve the equation 30w + 60 = 270 to fin

d how many week w it will take Uma to save enough to buy the system.
A. 8 weeks
B. 6 weeks
C. 7 weeks
D. 9 weeks
Mathematics
2 answers:
Damm [24]3 years ago
8 0

Answer:

C.7 weeks

Step-by-step explanation:

Subtract 60 on both sides then you get: 30w=210, then divide both sides and you get w=7, so it'll take 7 weeks

Morgarella [4.7K]3 years ago
5 0

Answer:

C. 7 weeks

Step-by-step explanation:

30w + 60 = 270

        - 60    -60

subtract 60 from both sides of the equal sign.

30w = 210

We need to isolate the variable, which is (w), so divide both sides by 30.

w = 7

It will take 7 weeks for Uma to save enough money to buy the video game system. So the answer is (c).

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2 years ago
the polynomial ky^3+3y^2-3 and 2y^3-5y+k when divided by (y-5) leave the same remainder in each case. Find the value of k.
marshall27 [118]

Answer:

k=\frac{153}{124}

Step-by-step explanation:

According to the Remainder Theorem; when P(y) is divided by y-a, the remainder is p(a).

The first polynomial is :

p(y)=ky^3+3y^2-3

When p(y) is divided by y-5, the remainder is

p(5)=k(5)^3+3(5)^2-3

p(5)=125k+75-3

p(5)=125k+72

When the second polynomial:

m(y)= 2y^3-5y+k is divided by y-5.

The remainder is;

m(5)= 2(5)^3-5(5)+k

m(5)= 225+k

The two remainders are equal;

\implies 125k+72=225+k

\implies 125k-k=225-72

\implies 124k=153

k=\frac{153}{124}

3 0
3 years ago
Which equation represents the line that passes through the points (6,-3) and (-4,-9)?
Citrus2011 [14]
I will give in y=mx+b and ax+by=c form

using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)

slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)

given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)

y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33


equation is
y=3/5x-33 or
3x-5y=33 or
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7 0
3 years ago
Solve for x x+29=-11
netineya [11]

Answer:

x= -40

Step-by-step explanation:

x+29=-11

Subtract 29 from each side

x+29-29 = -11-29

x =-40

6 0
3 years ago
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