Mathematics High School

You are planning a skating party at a rink that charges a basic fee of
$10.00 and $6.00 per person for catered parties. You don't want to spend
more than $52.00. Write and solve an inequality to find the number of
friends you can invite.
a. 6x + 10 < 52; x< 7
6. 6x + 10 > 52; <> 7
C. 6% + 10 > 52; 2 >7
d. 6x + 10 < 52; x < 7

Answers

Answer 1

Answer:

y = 6.50x + 6 or 71 = 6.50x + 6

10 people are the max you can invite

Step-by-step explanation:

We have the simple equation

y = 6.50x + 6

6.50x because it it per person

6 because it is a flat one time charge

We want the max to be 71 so that will be our y

71 = 6.50x + 6

We are now going to solve for x

65 = 6.5x

x = 10

Hope it helps! (:

Related Questions

Grandma's age is 6 years less than 5 times Junior's age, j. If Grandma is 64 years old, which equation
can be used to find Junior's age?

Helppp

Answers

Answer:

junior is 6

Step-by-step explanation:

take 64 and divide by 5 you get 12 then take away the 6 years and you get juniors age which is 6

The equation used to find the age of Junior's age is 64 = 5J - 6 and the age of Junior will be 14 years old.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say Grandma's age is G while junior is J.

As per the given,

Grandma's age is 6 years less than 5 times Junior's age,

G = 5J - 6

64 = 5J - 6

J = 14

Hence "The equation used to find the age of Junior's age is 64 = 5J - 6 and the age of Junior will be 14 years old".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

classify the triangle given the side lengths
5, 8, 12
a Acute
b right
c obtuse

Answers

Answer:

The answer is the second one

The two lines representthe amount of water, over time, in two tanks that are the same size. Which container is filling more quickly? Explain how you know.

Answers

Answer:

no picture sorry but if either tanks line goes higher than the other than its filling faster

Step-by-step explanation:

What is the percent of change from 4,000 to 1,000?

Answers

Answer:

25%

Step-by-step explanation:

1,000x4 would be 4 thousand, so the answer would be 1/4. 1/4 as a percent is 25%.

How many terms are in the expression below?

-4x + 7 + 2x + 10

Answers

Answer:

Step-by-step explanation:

About 1,500,000 bacteria are found in 1 milliliter of water of the coastal ocean. How many bacteria will be there in 100 milliliters of water?

Answers

Answer:

150000000

Step-by-step explanation:

Answer: E. because i just took the test on plato

I'm giving away my points and helping increases your chance of getting points

Answers

Answer:

C. 20%

Step-by-step explanation:

pls help me with this i will give brainliest to who answer both questions

Answers

Answer:

1st one: 50 cups

2nd one: 3.125 gallons

Step-by-step explanation:

Question 1:

2.5 cups per pitcher

20pitchers x 2.5cups = 50cups total

Question 2:

16 cups per gallon

50cups / 16cups = 3.125 gallons

Answer:

D 50

Step-by-step explanation:

B 34 gallons

Write an equation in Slope intercept form of the line that passes through the given points (-3,4) (1,4)

Answers

answer would be “y=4”

to find the answer: first you have to find the slope with the given points. (y2 - y1 / x2 - x1)

plug it in to get: (4-4 / 1- -3) = 0/4 = 0

this means the slope would be 0

if the y intercepts are the same then it usually indicates that the slope would be 0 and that the answer is the y intercept.. but if you don’t understand how to get slope-intercept using other coordinates then here’s how:

you can use point-slope formula (y-y1 = m (x-x1) in order to do this just plug in one of the coordinates. in this case an example of point-slope form would be:
y-4 = 0 (x - -3) or y-4 = 0(x-1)

it doesn’t matter which coordinates you use..

then solve the point slope for slope-intercept.

y-4 = 0(x-3) multiply 0 with x and -3
y-4 = 0x move -4 to the right by adding 4

y = 0x + 4 or y = 4 would be your answer!

The equation for the line that passes through the point A ( -3 , 4 ) and

B ( 1 , 4 ) is y = 4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the first point be A ( x₁ , y₁ ) = A ( -3 , 4 )

Let the second point be B ( x₂ , y₂ ) = B ( 1 , 4 )

Now ,

The equation for the line is given by

y - y₁ = m ( x - x₁ )

To find the slope of the line ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

m = ( 4 - 4 ) / 1 - ( - 3 )

m = 0

So , the slope of the line is 0

Now ,

The equation of line will be

y - 4 = 0 ( x - ( -3 ) )

y - 4 = 0

Adding 4 on both sides , we get

y = 4

So , the equation of the line is y = 4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

what is the simplified form of the expression
[tex] \sqrt{ - 64} [/tex]

Answers

I believe the answer will be 8i

It might be -8 I tried it on a calculator and it said that 64 was 8 but a negative should be the same so it’s either 8 or -8

what is the answer of 1/3pi x r^2 / 4 x 2h?

PLEASE ANSWER FAST ILL MARKYOU AS A BRAINLIST

Answers

Answer:

1/3pi x r^2 / 4 x 2h

Step-by-step explanation:

Ummm I'm just clueless. :/

Hurry please
a rectangle is 6 times as long as it is wide. the perimeter is 140 cm. find the area of the rectangle. round to the nearest tenth if necessary.

Answers

Answer: [tex]w = 10[/tex]

Step-by-step explanation:

Our perimeter will be 140 cm and our width of the rectangle will be 6w. We will then divide 14w and 140 by 14 so we can get w by itself. Then, we will divide the perimeter by the width.

Step 1: Let 6w will be our length and let the perimeter be 140 cm.

[tex]6w, P = 140 cm[/tex]

Step 2: Perimeter means that you add up all the 4 sides of the rectangle.

[tex]P = 140 = w + w + 6w + 6w = 14w[/tex]

[tex]P = 140, 14w[/tex]

Step 3: Divide both sides 14 to get the single w variable.

[tex]\frac{140}{14} = \frac{14w}{14}[/tex]

Step 4: Simplify.

[tex]10 = w[/tex]

Step 5: Flip sides.

[tex]w = 10[/tex]

~I hope I helped you :)~

Use inductive reasoning to predict the next number in the sequence.

7, 10, 13, 16, 19, ...

21
21

22
22

23
23

20

Answers

it’s 23 because i’m would think you count by 2s if that makes any sense

y=2x+3

when x is 0, y is

when x is 1, y is

when x is 2, y is

Answers

When x is 0, y is 3
When x is 1, y is 5
When x is 2, y is 7

Choose the expression that is equal to 28.3. A. 33 + 27.2 – 6.8 + 24 – 3.1 B. 33 + 27.2 – (6.8 + 24 – 3.1) C. [33 + (27.2 – 6.8)] + 24 – 3.1 D. 33 + 27.2 – (6.8 + 24) – 3.1

Answers

i think it’s maybe D ?

Which expression does not represent 625?

Answers

Answer:

where are the choices?

Step-by-step explanation:

Can someone help me out please!!

Answers

x =56 y =90

Step-by-step explanation:

hxjxskalskdhxgxh

what they said ahhdneoeicirnwnuwhenekeicifv

(8th grade)Use the elimination method to solve the system.
4x+6y=10
2x+5y=1

Answers

Point form: (11/2, -2)
Equation form: x=11/2 y= -2

4x+6y=10

2x+5y=1

= 2x+y=9

2x=9-y -1

9-y+5y=1 ( using 1)

4y=1-9

y=-8/4

y=-2

2x=9-(-2)

2x=11

x=11/2

You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?

A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67

Answers

Answer: 9441.95

P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula

10=h/2+8 solve, its for algebra 1

Answers

Answer:

Subtract 8 from both sides which lead it to 2=h/2, then multiply two for each side then it turns to 4=h

please help with solving this

Answers

Answer:

x=-7

Step-by-step explanation:

5x-2x+1=3x-6-x first combine like terms

3x+1=2x-6 combine like terms by subtracting 2x from both sides

x+1=-6 subtract 1 from both sides

x=-7

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a retail price of $125. We need to find the wholesale (original) price of this bike. What percent of the wholesale (original) price is the retail price?

Answers

Answer:

Wholesale Price = $96.15Retail price percentage = 130%

Step-by-step explanation:

Wholesale price was marked up by 30% and became $125.

Assume wholesale price is x. Expression will be;

125 = x + (30% * x)

125 = 1.3x

x = 125/1.3

x = $96.15

Retail price percentage = 125/96.15

= 1.30

= 130%

Please help y’all I really need help with this

Answers

Answer: y = -x - 4

Step-by-step explanation:

PLEASEE HELP AND SHOW WORK

Answers

Answer:

x = 44°

Step-by-step explanation:

2x - 6 = 82

2x = 82 +6

2x = 88

divide through by 2

x = 44°

similar triangle

What is the slope of the graph below?

Answers

Answer:

Step-by-step explanation:

Full equation: y = 3/2x + 1

What is the value of g(-9) for the function g(x) = x2 - x?

Answers

Answer:

Step-by-step explanation:

Given the function;

g(x) = x^2 - x

We are to find g(-9)

g(-9) = (-9)² - 9

g(-9) = 81 - 9

g(-9) = 72

hence the value of g(-9) is 72

Sindhu’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x, then Sindhu’s present age is
3 (x – 3)
3x + 3
3x – 9
3(x + 3)

Answers

Answer:

I think "D"- 3(x + 3)

Step-by-step explanation:

as 3 years ago - x

so present age of shilpa - x +3

~~~~~~~~~~~~~

present age of sindhu - 3 (x+3)

i guess : )

Shilpa's age three years ago

Shilpa's age now = x + 3

Sindhu's age now = 3(x + 3)

5x+6=2x+15 solve for x

Answers

Answer:

the answer is:

5x - 2x = 15 - 6

3x = 9

x = 3

What is the inequality equation? Mike earned $40 for working 4 hours. If he wants to buy a bike that costs $120, how many more hours will he have to work?
PLEASE HELP!!!!!!!!1

Answers

Answer:

Step-by-step explanation: he has to work 3 hours because

$40 = 4 hours

$40 x 3 hours = $120

The Gonzalez's updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6.5% sales tax on their purchases. If the Gonzalez's paid $351.72 total, determine if they paid the correct amount.

Answers

Answer:

Not exactly

Step-by-step explanation:

Cost lamp = $89.95Cost of comforter set = $239.99Sales tax = 6.5%

Total payment:

($89.95 + $239.99)*1.065 = $351.39

Total amount is a little different:

$351.72 vs $351.39

Other Questions