The figures shown are similar. Find the lengths of x,y and z

Answer:

Step-by-step explanation:

Answer:

x > 1

Step-by-step explanation:

15 - 1 = 14

The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.

Therefore, x>1

Answer:

20 Plates

Step-by-step explanation:

Given that :

Sally's kitchen :

Setup cost = $60

Cost per plate = $12

Jimmy's BBQ :

Setup cost = $100

Cost per plate = $10

Let number of plates = x

Equate both and solve for x :

Sally's kitchen = Jimmy's BBQ

60 + 12x = 100 + 10x

12x - 10x = 100 - 60

2x = 40

x = 40/2

x = 20

20 plates

Answer:

4-10x

Step-by-step explanation:

Hey there!

7 - 5x - (3 + 5x)

= 7 - 5x - 1(3 + 5x)

= 7 - 5x -1(3) - 1(5x)

= 7 - 5x - 3 - 5x

COMBINE the LIKE TERMS

= (-5x - 5x) + (7 - 3)

= -10x + 4

Therefore, your answer should be: -10x + 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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]

Answer:b I’m pretty sure

Step-by-step explanation:

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:

y = 127 + 5x

Step-by-step explanation:

Today Olivia has $127 in her savings account. She will deposit $5 into the account each week given x < 0

Let x = number of weeks Olivia deposits money.

y = Total pint of money that Olivia has in her account after x weeks

Hence, the function represents the amount in Olivias savings account after x weeks is ;

y = $127 + $5 × x

x < 0

y = 127 + 5x

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

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. 8

the answer is eight or C whatever

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:

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:

Y = x - 4

Step-by-step explanation:

it’s already in y = Mx + b form

THe correct option is the 3rd option

Answer:

x=10

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

36 - 6x = 4x - 64

36 + 64 = 4x + 6x

100 = 10x

x = 10

3a+7

Step-by-step explanation:

Answer:

3 hours and 40 minutes I think

Step-by-step explanation:

Answer:

3 hours and 40 mins

Step-by-step explanation

First, you check 3 hours times 50 miles and 3 hours times 60 miles to get how close they are. 3x50=150, and 3x60=180. 150+180=330. Then you multiply 4/6 or 2/3 by 5 and 6 then add them (because 40 mins is 2/3 of an hour) 50x2/3/2=100/3 and 60x2/3=120/3=40. 40+50/3=73 1/3. 73 1/3+330= 3 hours and 40 mins.

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:

31°

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i hope this is right

[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:

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.

The answer is x = 11/36

lt is 100% right

Step-by-step explanation:

By Intersecting Chords Theorem,

9 * 4x = 8 * (4x + 2).

=> 36x = 32x + 16

=> 4x = 16, x = 4. (2)

Answer:

4 is the answer okay because its four there