ashley is baking a cake shaped as a right triangle. Two of the angles are measurement of 5x and 10x. What is the value of x?

Answer:

20 years old

Step-by-step explanation:

Let us assume that the son's age is x.

Therefore,

2.5x = 55 - 5

2.5x = 50

x  = 20 years old

hope this helps :)

Answer:

Step-by-step explanation:

Answer:

The answer to the first one should be $27.32 is what the full bill costs with tax.

The answer to the second one they added an 18% tip ontop.

Step-by-step explanation:

The explanation for the second one is 27.32*.18=4.92+27.32=32.24 meaning they gave an 18% tip.

Answer:

Step-by-step explanation:

1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]

= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]

= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]

= [tex]\frac{83}{36}n[/tex]

= [tex]2\frac{11}{36}n[/tex]

2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]

= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]

= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]

= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]

= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]

= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]

3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]

= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]

= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]

= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]

= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]

= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]

3a+7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i hope this is right

Step-by-step explanation:

The two given equations have slope -1/2 and 2 and are perpendicular lines.

The lines on the graph are different from the equations at left.

Their slopes are 2 and 1/2. Since they are not opposite reciprocals, they are not perpendicular.

Answer:

255.682%

Step-by-step explanation:

From the above question:

The planet mercury makes its circuit around the sun in 88 days.

Venus takes 225 days to complete it's circuit.

Venus's travel time is what percent of Mercury's travel time?

This is calculated as:

(Number of days Mercury take to complete it's circuit/Number of days Venus takes to complete it's circuit) × 100

= 225/88 × 100

= 2.5568181818181817 × 100

= 255.68181818%

Approximately = 255.682%

Venus's travel time is 255.682 percent of Mercury's travel time

Answer:

6

Step-by-step explanation:

|-15| - |-9|

15 - 9 = 6

The expression is an illustration of absolute values and signs.

The result of evaluating |-15| - |-9| is 6

Given

[tex]|-15| - |-9|[/tex]

Remove absolute brackets

[tex]|-15| - |-9| = 15 - 9[/tex]

Evaluate the expression 15 - 9

[tex]|-15| - |-9| = 6[/tex]

Hence, the evaluation of |-15| - |-9| is 6

Read more about absolute values at:

https://brainly.com/question/1301718

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct . }}}[/tex]

For the number line refer to the attachment :

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

[tex]\bf \implies 5x + 3 > 4x + 7 \\\\\bf\implies 5x - 4x > 7 - 3 \\\\\bf\implies \boxed{\red{\bf x > 4 }}[/tex]

This implies that the value of x is Greater than 4 . That is the inequality can have all the values more than 4. So when we see the given number lines we see that the first number line represents all values greater than 4 .

Answer: B is correct

Step-by-step explanation: Tried a on the test, got it wrong, then tried b and got it right.

Answer:a,cd,and h

Step-by-step explanation:

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y

Answer:

Y = x - 4

Step-by-step explanation:

it’s already in y = Mx + b form

5 + 4.5 + 2.5 = 12 ÷ 3 = 4

how I know mean is when you add each together then divide it by how many things you added together so we added 3 things together so just divide your answer by 3.

Answer:

c

Step-by-step explanation:

First, I'll isolate the x in x+4y=5 to match with the other equation.

The new equation would be x= -4y+5

Next, we will multiply one equation by 3 and the other by -1 for both to match with the other.

-1(-12y + 15 = 3x )

3(-4y + 5 = x)

The new equations would be :

12y - 15 = -3x

-12y + 15 = 3x

Add the equations and you get

0 = 0

The equation has an infinite amount of solutions

The answer is x = 11/36

lt is 100% right

Answer:

x=4.39024390244

Step-by-step explanation:

21x-3+20x+3=180

group up like terms

41x+0=180

41x=180

/41    /41

x=4.39024390244

simplify if needed

fraction form: 180/41

Hey there!

“2 (5x + 3)”

• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses

2(5x) + 2(3)

2(5x) = 10x ⬅️ FRONT number

2(3) = 6 ⬅️ BACK number

BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING

Answer: 10x + 6 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

10x+6

Step-by-step explanation:

you have to multiply 2 times 5 then 2 times 3 then multiply 10 times x and write 6 beside it.

Answer:

Step-by-step explanation:

11/12 - 5/8 =  ? Make the denominator the same (multiply the first term by 2 and the second term by 3).

22/24 - 15/24 = ? Just simplify/solve. 22-15=7.

7/24

OPTION A = 7/24

Answer:

3.6

Step-by-step explanation:

Answer:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Choice 1 = X = Final Amount after 12 years = $5600

Choice 2 = Y = Final Amount after 12 years = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Step-by-step explanation:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Initial Deposit Amount = $3500

Time period = 12 years

Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.

X = simple interest of 5% over the initial amount for 12 years.

Y = Compound interest 5% over the initial amount for 12 years.

Solution:

Let's calculate the profit for choice 1 = X

Simple interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P (1 + rt)

where, A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

Plug in the values to get the total amount.

A = 3500(1+0.05x12)

A = $5600 = final amount Lorena will get after 12 years.

Let's calculate the profit for choice 2 = Y

Compound interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

where,

A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

n = number of times interest rate is applied or compounded. = 12

Plug in the values to get the total amount.

A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

A = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Step-by-step explanation:

-2x² + 5x - 3 - (-7 - 9x + 5x²)

= -2x² + 5x - 3 + 7 + 9x - 5x²

= -7x² + 14x + 4.

Hence the coefficient of the x term is 14.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x-xy=3

-xy=3-2x

y=3-2x/x

Answer:

[tex]y = - \frac{3}{ x} + 2[/tex]

Step-by-step explanation:

So we want y to be on a side by itself.

2x-xy=3

Subtract 2x from each side

-xy=3-2x

divide each side by -x

[tex]y = \frac{3}{ - x} + 2[/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

[tex]f(x) = -16t^2 + 64t + 960[/tex] .....(1)

When it will hit the ground, f(x) = 0

[tex]-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0[/tex]

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

[tex]-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]

Put t = 2 in equation (1)

[tex]f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}[/tex]

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Answer:

No! This graph is non-linear therefore not proportional.

Step-by-step explanation:

Hope this helps!

~Pumpkin

Answer:

C. 8

the answer is eight or C whatever

THe correct option is the 3rd option

Answer:

1.116071429

Step-by-step explanation:

This is an irrational number, but if you round it, it should be about 1 or 1.12. You can put this in the calculator btw :)