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3 years ago

Nine less one-fourth of a number is 31. find the number

Mathematics

1 answer:

Lemur [1.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{1}{4} x-9=31\\\frac{1}{4} x=31+9\\x=40 \times 4=160$

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Translate this sentence into an equation.

Shalnov [3]

Answer:

m - 11 = 44

Step-by-step explanation:

Breaking the phrase down...

"The difference of Malik's height and 11" - this indicates subtraction.

m - 11

"is 44" - this indicates that the value of the diffrence would be '44'.

'= 44'

The equation should be:

m - 11 = 44

Hope this helps.

6 0

3 years ago

HEYY CAN YOU hELP

Gre4nikov [31]

Answer:

10x+3.50=

Step-by-step explanation:Hope this is correct

3 0

3 years ago

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A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax 2 about the y-

Setler79 [48]

Answer:

a = $\frac{1}{2}$ . Surface Area = $\frac{4}{3}$ $ft^{2}$ . and area of the Dish = $\frac{4}{3}$ $ft^{2}$ +pi $4^{2}$ = $\frac{4}{3}$ $ft^{2}$ +50.27=51.6 $ft^{2}$

Step-by-step explanation:

(1) Constant. y(x) = a $x^{2}$ that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.

y max = 2, x max = 4 setting up a equation with a unknown gives

2=a4 and a = $\frac{1}{2}$ .

so we have now.

y(x) = $\frac{1}{2}x^{2}$ (Done with solving for a Constant).

(2) Surface Area.

Setting Up surface integral.

(i) range in x = 0 to 4.

(ii) range in y = 0 to 2.

integral is.

Integral(0-2)[{integral[(0-4) $\frac{1}{32}$ $x^{2}$ ]}]dy

Evaluating this integral gives. $\frac{4}{3}$ $ft^{2}$ .

and area is surface area + area of the circle with 8ft diameter.

= $\frac{4}{3}$ $ft^{2}$ +pi $4^{2}$ = $\frac{4}{3}$ $ft^{2}$ +50.27=51.6 $ft^{2}$ ...

Note the Difference between area and aurface area.!

6 0

3 years ago

Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors

Rainbow [258]

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

4 0

3 years ago

7p-(3p+4)= -2(2p-1) + 10<br> Solve each equation.

Aliun [14]

Perform the indicated multiplication:

<span>7p-(3p+4)= -2(2p-1) + 10

becomes

7p - 3p - 4 = -4p + 2 + 10

Group like terms:

7p - 3p + 4p = 2 + 10 + 4

8p = 16 => p = 2 (answer)</span>

8 0

3 years ago