All categories

3 years ago

Devaughn's age is two times Sydney's age. The sum of their ages is 51 . What is Sydney's age?

1 answer:

7 0

Let D stand for devaughn and let S stand for sydney so it implies that as at now since D is twice the age of S, we have an equation like D=2S....eqn 1 since their age sum to 51 we have an equation like S+D = 51......eqn2 but we previously have D=2S so we get equation 2 to become S+2S=51 so 3S=51 and therefore S = 51/3 and D = 2times 51/3 which is 102/3...

You might be interested in

Solve algebraically for x and explain each step( using mathematical vocbuary) for the following: 2(x+5)+ 3x = 30

Lelu [443]

First do distributive property
2x + 10 + 3x = 30
Now combine like terms
5x + 10 = 30
Subtract 10 from both sides
5x = 20
Divide both sides by 5
x = 4

8 0

2 years ago

What is the slope of the line that passes through the points (2,0) and (1,0)? Write

ICE Princess25 [194]

Answer:

m=0

Step-by-step explanation:

The slope of a line can be found using:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Let's call (2,0) our "2" coordinate, and (1,0) our "1" coordinate.

Coordinates are written as: (x,y)

Therefore, our x2 is 2 and y2 is 0. Our x1 is 1 and y2 is 0.

Substitute these values into the formula .

$m=\frac{0-0}{2-1}$

$m=\frac{0}{1}$

m=0

The slope of the line is 0

3 0

3 years ago

Please help I don’t know how to solve these... can anyone explain? I’m desperate

Elenna [48]

Answer:

1.) 16.5

2.) 24.2 ft

3.) 10.8 ft

Step-by-step explanation:

1.) So first you need to use Heron's formula

S = (A + B + C)/2

S = (17 + 17 + 8)/2

S = 21

Now

Area = $\sqrt{S(S - A)(S-B)(S-C)}$

$\sqrt{21(21-17)(21-17)(21-8)}$

So the Area is equal to 66.1

Now to find the height we use the Area of the triangle formula

A = 1/2 B*H

66.1 = 1/2(8) * H

66.1 = 4H

H = 16.525

So the height of the triangle is 16.5 units tall

2.) For this question you just use the Pythagorean theorem.

a² + b² = c²

So 22² + 8² = c²

484 + 64 = c²

548 = c²

$\sqrt{584}$ = c

c = 24.1660919472 ft

So the length of the wire is 24.2 ft long

3.) Again this is the Pythagorean theorem.

a² + b² = c²

So 10² + 4² = c²

100 + 16 = c²

116 = c²

$\sqrt{116}$ = c

c = 10.7703296143 ft

So the length of the banner is 10.8 ft long

7 0

3 years ago

Dean invests $500 for 10 years at a rate of 1.7% per year simple interest. Calculate the total interest earned during the 10 yea

Ann [662]

Answer: $85

Explanation:

4 0

2 years ago

6(x-4)=7(x+3) <br> Show your work

sergeinik [125]

Answer:

do distributive property on both, so multiply 6•x and 6•-4. then multiply 7•x and 7•3.

so it'll basically be 6x - 24 = 7x + 21.

then add 24 to both sides so: 6x - 24 + 24 = 7x + 21 + 24. since -24+24=0 it'll be 6x = 7x + 21 + 24.

then add 21 + 24 and that will be 45.

so 6x = 7x + 45

then subtract 7x from both sides 6x - 7x = 7x + 45 - 7x

that'll be -x = 7x + 45 - 7x

combine like terms (7x - 7x) = 0

so -x = 45

and since x can't be negative, do the opposite signs

so instead of -x = 45, make it x = -45

Hope it helped! (sorry that's its very long just wanted to show u the steps just in case)

3 0

3 years ago