3 years ago

the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle

Mathematics

1 answer:

True [87]3 years ago

6 0

The width of the rectangle is 16cm and here are the steps :)

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A student is solving the equation. 2x – 4 – (x + 2) = 6x If the student solves the equation correctly, what is the value of x ?

ANTONII [103]

Answer:

x = $-\frac{6}{5}$

Step-by-step explanation:

2x – 4 – (x + 2) = 6x is the given equation

Now simplifying both sides, we get

2x - 4 - x - 2 = 6x

taking like terms on each side of the equality, we get

2x - x - 6x = 4 + 2

or, -5x = 6

or x = $\frac{6}{-5}$

hence, the value of x = $-\frac{6}{5}$

7 0

3 years ago

Ramon’s teacher wrote the following table on the board She then asked the class to write a rule for the nth term of the geometri

snow_lady [41]

Answer:

do you still need help with this?

Step-by-step explanation:

because I can help. just comment back to me

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3 years ago

twice the smaller of two consecutive integers increased by the larger integer is at least 25. what is the number?

stira [4]

$x,x+1-\ two \ consecutive\ numbers\\\\
2x+x+1\geq25\\\\
3x+1\geq25\ \ \ | subtract\ 1\\\\
3x\geq24\ \ \ | divide\ by\ 3\\\\
x\geq8\\\\
It\ is\ 8\ or\ greater\ number.$

3 0

4 years ago

1. For the carnival, the park rented a dunking booth shaped as a rectangular prism. The booth is 3 1/2 ft wide, 3 1/2 ft long, a

tangare [24]

Answer:

Part a) The total volume is $98\ ft^{3}$

Part b) $84\ ft^{3}$

Step-by-step explanation:

Part a)

Find the total volume

we know that

The volume of a rectangular prism is equal to

$V=LWH$

we have

$L=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft$

$W=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft$

$H=8\ ft$

substitute in the formula

$V=(\frac{7}{2})(\frac{7}{2})(8)=98\ ft^{3}$

Part b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?

Multiply the total volume by 6/7

$98(6/7)=84\ ft^{3}$

6 0

4 years ago

Solve the inequality 7(x - 2)<-5.<br> O x< 9/7<br> O X<-9/7<br> X> 9/7<br> x>-9/7

Nesterboy [21]

Answer:

I think the answer is the third one

4 0

3 years ago