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juin [17]
2 years ago
7

Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?

Mathematics
2 answers:
ANTONII [103]2 years ago
3 0

Answer:

96

Step-by-step explanation:

1200*92=110400/100=1104

1200-1104=96

ioda2 years ago
3 0

Answer:

1152 students like rap just take the numbers n divide

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Miss lead says that if y varies directly with x and y=15 when x=-3, then y=-20 when x=4. Is she correct? Answer in complete sent
gizmo_the_mogwai [7]

Answer:

Yes,  she is correct.

Step-by-step explanation:

y = kx   is direct variation

15 = k*-3

k = -5.

So the equation of variation is

y = -5x

When x = -4:

y -5*-4 = 20.

6 0
2 years ago
PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba
kupik [55]

Answer:

Slope of the function is =3.75,Y-intercept =20.

The function is y=3.75(x)+20 with initial value=20,Jordan puts \$3.75 each week andthe amount saved by Jordan after 52 week =215\$.

Step-by-step explanation:

To understand the slope and y-intercept lets assign x as number of weeks and  y as the money saved by Jordan.

Jordan is already having a sum of \$20 inside the money bank so in 0 week the amount is \$20 can be written as (x,y) =(0,20) in coordinate form.

SImilarly

We have (x,y) =(0,20)and (x_1,y_1) =(25,113.75)

Part A:

The function is y=m(x)+b

From point-slope form,we have slope (m)

and m=\frac{y_1-y}{x_1-x},plugging the values of the points.

m=\frac{113.75-20}{25-0}=3.75

Y-intercept of this function is the constant term or the money of  \$20 that is already inside the money bank.

We can also calculate y-intercept by arranging the function as b=y-m(x) choosing any (x_1,y_1) = (25,113.75) coordinate and here b is the y-intercept.

The result will be same.

Part B:

The equation <u>y=3.75(x)</u> can represent the function described.

And the initial value is the <u>y-intercept =\$20</u>

Jordan puts<u> 3.75 </u>in his bank each week.

After 52 week the amount saved by Jordan ,here x=52,as the x-variable is the number of weeks.

Plugging the value of x=52 in  y=m(x)+b where m=3.75 so the equation becomes  y=3.75(x)+20

y=3.75(x)+20 =3.75(52)+20=\$215

So basically the function is y=3.75(x)+20 and the amount saved by Jordan after 52 week =215\$.

6 0
3 years ago
Jose needs to enclose a rectangular section of his yard. The perimeter of the section is 27 feet, and the area is 35 square foot
Ratling [72]
A = 35 sq ft 
<span>L = 10 ft </span>
<span>W = 3.5 ft</span>
3 0
3 years ago
Find minor arc in circle Include correct units
masha68 [24]

Answer:

Same thing here Arc DE is also 100 degreese

cause the lines are connected to the center point.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by
garik1379 [7]

Answer:

x^2+12x-220=0 -- Proved

x = 10\ \ \ x = -22

Step-by-step explanation:

Given

Volume = 924cm^3

Dimension: 4cm; (x+1)cm; (x+11)cm

Required

Show that x^2+12x-220=0

The volume is calculated as:

4 * (x + 1) * (x + 11) = 924

Open the brackets

(4x + 4) * (x + 11) = 924

4x^2 + 44x + 4x + 44 = 924

4x^2 + 48x+ 44 = 924

Collect Like Terms

4x^2 + 48x+ 44 - 924=0

4x^2 + 48x -880=0

Divide through by 4

\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0

x^2+12x-220=0

Solving further:

Expand the expression

x^2 + 22x - 10x - 220 = 0

Factorize:

x(x + 22) - 10(x + 22) = 0

(x - 10)(x + 22) = 0

Split:

x - 10 = 0;\ \ \ x + 22 = 0

x = 10\ \ \ x = -22

5 0
2 years ago
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