Work out:
8(72 - 33)
121​

Answer:

11=x

Step-by-step explanation:

since the lines are parallel the distances between each section of line is proportional to each other.

5/6=(x-1)/12

multiply both sides by 12

12(5/6)=(x-1)12/12

10=(x-1)

add 1 to both sides

10+1=x-1+1

11=x

I hope that helps :)

Answer:

zeros and AoS

Step-by-step explanation:

zeros, x = (1 , -7)

AoS:x =-1

Answer:

A

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Given:

The inequality is

[tex]-2x+2>3x-8[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]-2x+2>3x-8[/tex]

Isolate the variables terms on the left side.

[tex]-2x-3x>-2-8[/tex]

[tex]-5x>-10[/tex]

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

[tex]\dfrac{-5x}{-5}<\dfrac{-10}{-5}[/tex]

[tex]x<2[/tex]

Therefore, the correct option is D.

Answer:

1. = 1 because any numbers to the power 0 is one

2. = 1/64

3.= b^15 base same power added up

Answer:

(A).

Step-by-step explanation:

yo my boy look at the problem first because that was so easy

Answer:

27 cups

Step-by-step explanation:

Amount of orange juice in the mixture = 3 quarts

Therefore, number of cups of orange juice = 3 × 4 cups [Since, 1 quarts = 4 cups]

                                                                        = 12 cups

Amount of milk in the mixture = 5 pints

Therefore, amount of milk in cups = 5 × 2  [Since, 1 pint = 2 cups]

                                                         = 10 cups

Amount of pineapple juice in the mixture = 5 cups

Amount of mixture = Amount of Orange juice + Amount of pineapple juice + Amount of milk

= 12 + 10 + 5

= 27 cups

Therefore, total amount of smoothies = 27 cups

Answer:

$82.50 is the discount.

Step-by-step explanation:

550 x .15 = $82.50

Hope that helps!

Answer:

i felt that

Step-by-step explanation:

Answer:

270 m

Step-by-step explanation:

You would do 10 times 9 which is 90 then you would do half of 6 which is 3 then you do 90 times 3 which is  and thats your answer.

Answer:

The answer is

90 degrees the first one is I don't know about the rest sorry

Step-by-step explanation:

Answer:

Two possible combinations are;

1) 200 single and 30 couples

2) 150 single and 57 couples

Step-by-step explanation:

The given parameter in the question are;

The cost of ticket per person = $5

The cost of tickets per couple = $8

The minimum worth of tickets to be sold = $1,200

The maximum number of students that can fit in the gym = 500

Let 'x' represent the number of single persons that attend the dance and let 'y' represent the number of couple that attend, we have;

5·x + 8·y ≥ 1,200

x + y ≤ 500

Making 'y' the subject of both equations gives;

y ≥ 150 - 5·x/8

y ≤ 500 - x

From the graph of the inequalities created with Microsoft Excel, we have;

When x = 200, and y = 30, we get;

5 × 200 + 8 × 30 = 1240 > 1200

200 + 30 × 2 = 460 < 500

We also have;

x = 150, and y = 57, we get

Equating both values of 'y', we get;

5 × 150 + 8 × 57 = 1206 > 1200

150 + 57 × 2 = 264 < 500

Therefore, from the acceptable region in the graph, we have the following two possible combinations

1) 200 single and 30 couples

2) 150 single and 57 couples

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ7

Answer:

a)  y = 2 x - 1

b)  y = - x + 7

c)  y = 7 x + 2

Step-by-step explanation:

Use a pair of (x1, y1) and (x2, y2) points to find the equation of the line for each tables:

a) (5, 9) and (10, 19)

slope: (y2 - y1) / (x2 - x1) = (19 - 9) / (10 - 5) = 10 / 5 = 2

Then  y = 2 x + b

solve for b in:  9 = 2 (5) + b

b = 9 - 10 = -1

Then   y = 2 x - 1

b) (2, 5) and (5, 2)

slope: (y2 - y1) / (x2 - x1) = (2 - 5) / (5 - 2) = -3 / 3 = -1

Then  y = - x + b

solve for b in:  5 = - (2) + b

b = 5 + 2 = 7

Then   y = - x + 7

c) (3, 23) and (6, 44)

slope: (y2 - y1) / (x2 - x1) = (44 - 23) / (6 - 3) = 21 / 3 = 7

Then  y = 7 x + b

solve for b in:  23 = 7 (3) + b

b = 23 - 21 = 2

Then   y = 7 x + 2

Answer:

y = 10x+5

Step-by-step explanation:

The price of each T-shirt = $10

Design fee on each T-shirt = $5

We need to find the expression for the total cost. Let the total cost be y. So,

Let he has ordered x T-shirts. So,

y = 10x+5

Hence, this is the required solution.

Step-by-step explanation:

Hence the value of x is 70.14cm.

Answer:

3000=3000*0.02t

3000/60=t

t=50 yrs

Step-by-step explanation:

Answer: 20 cups

Step-by-step explanation:

Question would like to know the number of cups that Jada poured juice into.

If each cup got 0.45 litres, the number of cups that Jada poured drinks into would be the total amount of juice poured divided by the quantity per cup:

= Total juice poured / Quantity per cup

= 9 litres/ 0.45 litres per cup

= 20 cups

Answer:

The first answer is no

two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number

The second answer is yes because they are all equal and make a straight line

Step-by-step explanation:

Answer:

b) 50

Step-by-step explanation:

750/15 = 50

Answer: A) 18.3 x 7 and D) 5.4 x 2.8

Step-by-step explanation:

A) 18.3 x 7 = 128.10

We can infer that 1 is in the tenths place.

B) 6.5 x 4.31 = 28.015

We can infer that 1 is not in the tenths place but rather the hundredths place.

C) 8.54 x 2.3 = 19.642

We can infer that 1 is not in the tenths place.

D) 5.4 x 2.8 = 15.12

We can infer that 1 is in the tenths place.

Answer:

Step-by-step explanation:

Givens

y2 = - 4

y1 = - 8

x2 = - 3

x1 = - 2

==========

Equation

m = (y2 - y1) / (x2 - x1)

m = (-4 - - 8) / (-3 - - 2)

m = 4 / - 1

m = - 4

Answer:

(1, -4)

Step-by-step explanation:

(-3, -4) >> (x1, y1)

(-2, -8) >> (x2, y2)

(y2 - y1)           -8 - (-4) = -4

----------- >>>

(x2 - x1)           -2 - (-3) = 1

x always goes first in a coordinate, so

(1, -4)

Hope this helped ;)

Answer:

Sine

Step-by-step explanation:

Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.

SOH represents Sine, Opposite, Hypotenuse.

Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse

So, sine will be used.

Answer:

a) (tri)ABC ~ (tri)CDE

b) AA

Step-by-step explanation:

a) Given in the question (the triangles are similar)

b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.

Answer:

A

Step-by-step explanation:

Yes, they are congruent. Sorry I'm new to this kind of stuff. Really sorry if it's wrong!