Ask question

Ask question

All categories

3 years ago

10

One number is 4 less than 3 times another If the sum of the numbers is 36, what are the two numbers?

1 answer:

fiasKO [112]3 years ago

6 0

Let x , y be the numbers;
We have the equation: x + y = 36 and x = 3y - 4 ;
Then, 3y - 4 + y = 36;
4y - 4 = 36 ;
4y = 40;
y = 40 ÷ 4;
y = 10 ;
x = 36 - 10 ;
x = 26;

You might be interested in

Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems

valina [46]

Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

$\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}$

$3x+19=\dfrac{17x-3-91}{2}$

Multiply both sides by 2.

$6x+38=17x-94$

$38+94=17x-6x$

$132=11x$

Divide both sides by 11.

$12=x$

The value of x is 12.

$arc(AD)=17(12)-3$

$arc(AD)=204-3$

$arc(AD)=201^{\circ}$

Now,

$arc(DCA)=360^\circ-arc(AD)$

$arc(DCA)=360^\circ-201^{\circ}$

$m\widehat {DCA}=159^{\circ}$

Therefore, the correct option is C .

5 0

3 years ago

Find the area of the polygon

larisa [96]

Answer:

$687.5 \: {ft}^{2}$

Step-by-step explanation:

Area of polygon = Area of square + Area of triangle

$= {25}^{2} + \frac{1}{2} \times 25 \times (30 - 25) \\ \\ = 625 +\frac{1}{2} \times 25 \times5 \\ \\ = 625 + \frac{1}{2} \times 125 \\ \\ = 625 + 62.5 \\ \\ = 687.5 \: {ft}^{2}$

3 0

3 years ago

3(3/4)+ -2(3/4) divided by 2

Softa [21]

2. Put the question into a calculator. Really easy when you know how.

3 0

4 years ago

Read 2 more answers

i know the answer now is 540 after 3 hours of trying to figure out the "least common multiple" but what does the 3rd number "10"

OLga [1]

It is either A,B, Pr D. It will at the least have to be a common multiple of 10.

6 0

3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 xft?

attashe74 [19]

Answer:

Volume of sphere = $\frac{2}{3}(27\pi) ft^3$

Step-by-step explanation:

We are given that

Radius of sphere=Radius of cylinder=r

Height of sphere=Height of cylinder=h

Height of sphere=h=Diameter of sphere=2r

Volume of cylinder= $27\pi ft^3$

Volume of cylinder= $\pi r^2 h$

Using the formula

Volume of cylinder= $\pi r^2(2r)=2\pi r^3=27\pi$

Volume of sphere= $\frac{4}{3}\pi r^3$

Using the formula

Volume of sphere= $\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)$

Hence, the volume of sphere = $\frac{2}{3}(27\pi) ft^3$

6 0

3 years ago