Devaughn is 12 years older than Sydney. The sum of their ages is 88. What is Sydney's age?

Answer:

Step-by-step explanation:

6y+4-3y=-5+y+17

6y-3y-y= -5+17-4

2y=8

y=4

Answer:

y = 4

Step-by-step explanation:

6y + 4 - 3y = -5 + y + 17

First, we have to combine like terms on each side of the equation:

3y + 4 = y + 12

Then, we have to combine the terms from both sides of the equation:

3y + 4 = y + 12

      -4          -4

3y = y + 8

-y    -y

2y = 8

Then, we divide so we only have y on the left side:

2y = 8

/2     /2

y = 4

Hope this helps :)

Answer:

4

Step-by-step explanation:

Answer:

x=18/4.5=4

Step-by-step explanation:

Divide both sides by 4.5

(÷4.5)4.5x=18(÷4.5)

x=18÷4.5=4

Answer:

w = 99 pounds

Step-by-step explanation:

The problem states that Mary's weight is given by the equation:  

w = 92 + g - 1

I believe the "-1" should be "-x."  -1 would mean that Mary lost 1 pound.  But we know that Mary lost 8 pounds, which is designated as x.

The correct equation is:

w = 92 + g - x

============

Using the correct equation, and g=15 and x=8, Mary's new weight is:

w = 92 + 15 - 8

w = 99 pounds

Answer:

1. Second option. Value of the first column is less than the second column's value

2. Right by 4 units

3. (-1, -6)

4. Function 1 and 2 have the same maximum

5. 15

Step-by-step explanation:

1.  look at the photo

2. look at the photo

3. look at the photo

4. I used the formula -b/2a to find the x-value of the vertex. I got 0 (there is no b) and then I subbed it into the function and y = 9. Hence the vertex of the first function is (0,9) which is the same as the second function

5. The vertex of the f(x) is (-3, -3) and the vertex of g(x) is (3, 12). To find the difference you would do 12 - (-3), which would become 12 + 3 = 15

Step-by-step explanation:

If the die has 6 sides, this will be 10 or under, but there are 2160 ways this can happen

Answer:

because 88/8 = 11 and its a fraction

Step-by-step explanation:

Answer:

[tex]Cost= \$47[/tex]

Step-by-step explanation:

Given

Vertices: (−1, 5), (4, 2), and (9, −4)

Cost per foot = $8

Required

Determine the cost of fencing (-1, 5) and (4, 2)

First, we need to determine the distance between (-1, 5) and (4, 2)

Distance, d is calculated as follows:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where

[tex](x_1,y_1) = (-1, 5)[/tex]

[tex](x_2,y_2) =(4, 2)[/tex]

So, we have:

[tex]d = \sqrt{(4 - (-1))^2 + (2 - 5)^2}[/tex]

[tex]d = \sqrt{(4 +1))^2 + -3^2}[/tex]

[tex]d = \sqrt{5^2 + -3^2}[/tex]

[tex]d = \sqrt{25 + 9}[/tex]

[tex]d = \sqrt{34}[/tex]

[tex]d = 5.83095189485[/tex]

[tex]d = 5.831[/tex] -- Approximated;

If the cost of 1 foot is $8.

5.831 feet will cost:

[tex]Cost= 5.831 * \$8[/tex]

[tex]Cost= \$46.648[/tex]

[tex]Cost= \$47[/tex] -- Approximated

Answer:

b

Step-by-step explanation:

How high the football gets is a function of the maximum height of the ball

The football goes 40.313 ft high

The equation that models the height of the ball is given as:

[tex]h(t) = -5t^2 +27.5t+2.5[/tex]

Differentiate the function

[tex]h'(t) = -10t +27.5[/tex]

Set to 0

[tex]-10t +27.5 = 0[/tex]

Collect like terms

[tex]10t =27.5[/tex]

Divide by 10

[tex]t =2.75[/tex]

Substitute 2.75 for t in [tex]h(t) = -5t^2 +27.5t+2.5[/tex] to calculate how high the ball get

[tex]h_{max} = -5 * 2.75^2 +27.5 * 2.75+2.5[/tex]

[tex]h_{max} = 40.3125[/tex]

Approximate

[tex]h_{max} = 40.313[/tex]

Hence, the football goes 40.313 ft high

Read more about maximum height at:

https://brainly.com/question/12446886

Answer:

$12.82

Step-by-step explanation:

2 x $6.00 = $12.00

Item prices + sales tax = total cost

$12.00 + (0.0685 x $12.00) = $12.82

Let me know if you have any questions about my solution.

Answer:

[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]

Refer to above attachment...

Answer:

Step-by-step explanation:

as x+6 is the quotient, you need to use -6

-6 |  4   -3   +5       6

x         -24  +162 -1002

add

       4  -27  167  -996

f(x)= 4x^2 -27x +167 - 996/(x+6)

Lets check

(x+6)(4x^2 -27x +167)= 4x^3 -27x^2 +167x + 24x^2 - 162x + 1002 =

= 4x^3 - 3x^2 +5x +1002

1002-996= 6

So we have the correct solution: 4x^2 -27x +167 - 996/(x+6)

Answer:

The answer is D

Step-by-step explanation:

Answer:

[tex](x+11)(x-7)[/tex]

Step-by-step explanation:

To factorize [tex]x^2+4x-77[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]a \cdot c=1 \cdot -77=-77[/tex]

[tex]b=4[/tex]

Therefore, the 2 numbers that multiply together to give -77 and add together to give 4 are:  11 and -7

[tex]\implies x^2+11x-7x-77[/tex]

[tex]\implies (x^2+11x)+(-7x-77)[/tex]

Factor the parentheses:

[tex]\implies x(x+11)-7(x+11)[/tex]

Factor out the common term [tex](x+11)[/tex]:

[tex]\implies (x+11)(x-7)[/tex]

[tex]\\ \rm\rightarrowtail x^2+4x-77[/tex]

[tex]\\ \rm\rightarrowtail x^2+11x-7x-77[/tex]

[tex]\\ \rm\rightarrowtail x(x+11)-7(x+11)[/tex]

[tex]\\ \rm\rightarrowtail (x-7)(x+11)[/tex]

Done!

Answer:

After the December 7, 1941, Japanese attack on the American naval fleet at Pearl Harbor, Hawaii, the U.S. was thrust into World War II (1939-45), and everyday life across the country was dramatically altered. Food, gas and clothing were rationed. Communities conducted scrap metal drives. To help build the armaments necessary to win the war, women found employment as electricians, welders and riveters in defense plants. Japanese Americans had their rights as citizens stripped from them. People in the U.S. grew increasingly dependent on radio reports for news of the fighting overseas. And, while popular entertainment served to demonize the nation’s enemies, it also was viewed as an escapist outlet that allowed Americans brief respites from war worries.

Step-by-step explanation:

Answer:

1+1=2

Step-by-step explanation:

Yess!!!! I have solved this biggest problem....lol

Answer: 2

Step-by-step explanation: if I were to draw 1 circle then add another circle. Then I would count the circles and get 2.

Answer:

2

Step-by-step explanation:

Hope this helps

Answer:

1073333/5000000

Step-by-step explanation:

To convert from decimal to fraction : take denominator as 10000000.

2146666/10000000

1073333/5000000

Answer:

107333/5000000Step-by-step explanation: I got a 92 on this

Answer: look below

Step-by-step explanation:

The equation needed to find the width is:

10*w*20 = 2,600. The answer option for that is B

The width is:

10*w*20 = 2,600

w * 200 = 2,600

w = 13in

Answer:

[tex]\frac{2,000}{365}[/tex]=[tex]\frac{x}{500}[/tex]

Step-by-step explanation:

from midpoint formula P(x,y)=1+10÷2 , 7+4÷2

=11÷2 ,11÷2

= 5.5 ,5.5

The perimeter of a circle is finding the circumference of the circle

  --> calculated by the equation:   [tex]\pi D = 2\pi R[/tex]

A semicircle has half of the circumference of the circle, thus the circumference equation is

 --> [tex]\frac{1}{2} \pi D = \frac{1}{2} *2*\pi *r[/tex]

We are given:

Now let's calculate

[tex]\frac{1}{2} *3.14*17 = 26.69 in^2[/tex]

Hope it helps!

Answer:

6

Step-by-step explanation:

that's my answer hope it's help

yan lang nakayanan ko ty

The winner got a total of 42 votes.

This can be defined as a number or ratio expressed as a fraction of 100. It is usually calculated by parts/whole × 100.

In this scenario, Jane was the winner as she got a higher percentage of votes. To calculate the exact number of vote we have to do the following:

70%/100% × 60 = 42 votes.

Therefore, the total number votes the winner got is 42.

Read more about Percentage here https://brainly.com/question/24304697

Answer:

52.7856 cm

Step-by-step explanation:

c=2(3.142)(16.8/2)

c= 2(3.142)(8.4)

c=52.7856 cm

Answer:

Today: Monday, 12 October 2020

Hour: 05.32 WIB (in Indonesian)

_________________________

D = 16.8

r = d ÷ 2 = 8,4

Circumference:

2πr

= 2 × 3,142 × 8,4

= 6,284 × 8,4

= 52,7856 cm

Answer:

slope is 3/2

Step-by-step explanation:

you can find slope by comparing the vertical height / horizontal height of two points on the line

for example, we can use points (20,0) and (40,30)

vertical height is 30 minus 0 which is 30

horizontal height is 40 minus 20 which is 20

so slope is 30/20 or 3/2

Answer:

Step-by-step explanation:

They are the multiply of 12 so it means 12×50=600

Answer:

60

Step-by-step explanation:

he is right 60

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281