You are planning a skating party at a rink that charges a basic fee of $6.00 and $6.50 per person for catered parties. You don't want to spend
more than $71.00. Write and solve an inequality to find the number of friends you can invite.
O a 6.5x + 6 2 71; x2 10
b 6.5x + 6 < 71, x <10
ос 6.5x + 6 > 71, x > 10
Od 6.5x + 6 S 71, XS 10

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:


Related Questions

The figures are similar

Answers

Answer:

x is 10

Step-by-step explanation:

9+6=15 4+6=10

An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.

Answers

Answer:

x² + 12

48m²

Step-by-step explanation:

Find the diagram attached.

The room can be segregated into two rectangles

The area of the room = Area of bottom rectangle + area of the top rectangle

Area of the bottom rectangle = x * (x-3) = x² - 3x

Area of the top rectangle = 3* (4+x) = 12 + 3x

The area of the room = x² - 3x + 12 + 3x

Area of the room = x² + 12

Hence the algebraic expression that the architect can use to find the area of the room is x² + 12

Given x = 6m

The area of the room = x² + 12

The area of the room = 6² + 12

The area of the room = 36 + 12

The area of the room = 48m²

At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the number of chickens at Mr. Hynd's ranch?

Answers

The ratio is 20:35 or 20 to 35 and also 20/35, there are multiple ways to write it. My personal favorite is the first one but it depends on what your teacher wants!

Helppp I’ll mark you as brainlister you

Answers

Answer:

[tex]\triangle KLM \sim \triangle GFH[/tex]

Step-by-step explanation:

In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].

Point T is at (-3, 8). What are the coordinates of T' after R(y-axis) o R(x-axis)?

Answers

Given:

Point is T(-3,8).

To find:

The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].

Solution:

We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]T(-3,8)\to T_1(-3,-8)[/tex]

If a figure reflected across y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]T_1(-3,-8)\to T'(-(-3),-8)[/tex]

[tex]T_1(-3,-8)\to T'(3,-8)[/tex]

Therefore, the required point is T'(3,-8).

please help i will mark brainliest

Answers

Answer:

6/11

Step-by-step explanation:

Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?

Answers

Answer:

y=x-6

Step-by-step explanation:

IMPORTANT!!!


Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x

5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4

Answers

C & A I believe because 2+3 is 5 so that’s 5x

13.
What is the circumference of a circle whose area is 16 pi?
A. 64 pi
B. 32 pi
C. 8 pi
D. 4 pi

Answers

I think it would be 4 po

Answer:

What is the circumference of a circle whose area is 16 π ?

A. 64  π  

B. 32 π  

C. 8  π  

D. 4  π

Step-by-step explanation:

its  8 π  cause it said it was correct

Please help me out!!

Answers

Answer: C or B

Step-by-step explanation:

Answer:

its the first answer

Step-by-step explanation:

Which ones have a relationship with functions ​

Answers

Answer:

b. Yes

c. No

d. No

e. Yes

Step-by-step explanation:

hope this helped

Answer:

b no

c no

d yes

e yes

Step-by-step explanation:

there can not be 2 of the same x's but there can be 2 of the same y's

16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?
What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]

A. 105x + 90
B. 105x
C. 45x + 90
D. 60x

Answers

Answer:

The equation representing the total distance would be A. 105x + 90.

The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.

Step-by-step explanation:

Firstly, let's set the time travelled by the train to be x hours.

According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.

Hence:

[tex]45(x + 2) = 60x[/tex]

[tex]45x + 90 = 60x[/tex]

[tex]90 = 60x - 45x[/tex]

[tex]15x = 90[/tex]

[tex]x = 6[/tex]

Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.

Also, the equation can be found by adding both equations up:

[tex]45(x + 2) + 60x[/tex]

[tex]= 45x + 90 + 60x[/tex]

[tex]= 105x + 90[/tex]

Hope this helped!

Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)

Answers

Answer:

Thes slope is -4/ -7

Step-by-step explanation:

You use the equation Y2 - Y1 / X2 - X1

So this would look like this: -3 -1 / 0 - 7 when you plugin the numbers

So when you do the math, you're left with -4 / -7, which is the slope

                                     

Answer:

slope: 4/7

Step-by-step explanation:

30. One segment of the Mayan civilization started in 300 B.C.E. and ended in 250 C.E. How long did that segment of the Mayan civilization last?
A. 50 years
B. 300 years
C. 250 years
D. 550 years

Answers

Answer:

D. 550 years

Step-by-step explanation:

Firstly, you need to understand the meaning of B.C.E. and C.E. B.C.E. means "Before common era", where "common era" is the year where Jesus Christ was born (I will just call it "The Year" since the name is so long). The date has been used as a dating system for many years.

In this case, 300 B.C.E. means 300 years before "The Year" whereas 250 C.E. means 250 years after "The Year". Thus, the total would be:

300 + 250 = 550 years

what are ratios that are equivalent to 16:12

Answers

Answer:

20:15, 24:18, 28:21, etc.

Step-by-step explanation:

Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.

Answer:

4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.

Step-by-step explanation:

The denominators are all multiples of 3 and the numerators are multiples of 4.

(MARKING BRAINLIEST)Which of these is the most helpful first step for solving Frank's equation, 2x+28=40?
A. Multiply both sides by 2
B. Subtract 28 from both sides
C. Divide both sides by 2
D. add 28 to both sides

Answers

Answer: B. Subtract 28 from both sides
Explanation: You need to subtract first because the variable needs to be by itself.

30 Points and will mark brainliest: Bruce has $1200 in the bank. He wants to Save a total of $3000 by depositing $40 per week from his paycheck. Write and use an equation to find how many weeks he needs to reach his goal.

A - 1200x + 40 = 3000; x=45 weeks

B - 1200 + 40x = 3000; x = 45 weeks

C - x(1200 + 40) = 3000; x = 45 weeks

D - x(1200 - 40) = 3000; x = 45 weeks

Answers

B looks about right.

What does 9+10 equal?

Answers

Lol... is 20 lol jkjk is 19 thx for the points ❤️

28=−4x+5−x−2
what is X?

Answers

Answer:

X= -5

Step-by-step explanation:

28=-5x+3
25=-5x
x=-5
Explanation:
Combine like terms (4x) -x/-1x and 5-2
Subtract 3
Divide

can someone help please??

Answers

X+y=48
2x+y=86
Because the first one is the amount and the second one is the cost

Write this equation in slope-intercept form.
6X-3Y=18​

Answers

Answer:

y=2x-6

Step-by-step explanation:

subtract 6x from each side. divide each side by -3.

Help. Will give brainliest :)

Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?

Answers

Answer:

18 inches!

Step-by-step explanation:

Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)

hope this helped!

Hey guys happy holidays! any help is appreciated :)

Answers

Answer:

Nope

Step-by-step explanation:

The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.

***And have a nice winter break!!!! ;***

What is the equation of the line that passes through the point (-5, 7) and has a slope of -2/5?​

Answers

Answer:

I hope that it will be help full for u

Step-by-step explanation:

As we know the equation of line is ,

y= mx+ c

As given

slope=m=-2/5

also given (x, y)= (-5, 7)

we get   x=-5  , y=7

putt in the equation of line all these values we get ,

7=(-2/5)(-5) +c

c=7-2

c=5   now putt the value of c and m  in equation of line we will get ,required equation of line

y = (-2/5)x + 5  Ans

Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

What is slope intercept form?

The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.

According to the question,

The line passes through the point (-5,7) and has slope of -2/5,

The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c

7 = 2 + c

c = 7-2

c = 5

Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

Learn more about slope intercept form here

https://brainly.com/question/12425007

#SPJ2

ANSWER THIS URGENTLY PLEASE !!!!

A company decides to drain the water heater to flush out sediments. The water heater has a capacity of 500 gallons. It drains 100 gallons in
20 minutes. After 20 minutes, they open another drain valve and it drains 200 gallons in the next 20 minutes. The drain valves are closed for
10 minutes, while the workers take a break and then the water heater is drained until the water heater is completely empty.
What are the domain and the range of this relation?

Answers

Answer:

0<x<70

0<y<500

Step-by-step explanation:

The range is the values horizontally (up to down)

The domain is the values vertically (left to right)

Answer:

0 ≤ x ≤ 70

0 ≤ y ≤ 500

Step-by-step explanation:

By the ways, 0 ≤ y ≤ 70 and 0 ≤ x ≤ 500 look similar BUT not the right answer, so be careful.

What is the x intercept

Answers

Answer:

The x intercept is 3

Step-by-step explanation:

Because that is where it hits the x axis

yeah th x intercept is 3

Brandon and his son went fishing. Brandon caught 3 3/4 kg of fish while his son caught 2 1/5 kg of fish. What is the total weight of the fishes that they caught?

Answers

Answer:

5 19/20

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 19/20

Step-by-step explanation:

what is the slope of the line passing through the points (4,3) and (1,-2​

Answers

Answer:

8/5

Step-by-step explanation:

Which of the following inequalities matches the graph? (1 point)

Answers

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

Identify the type of slope and then find the slope of the line.

Answers

Answer:

-1/2, negative slope

Step-by-step explanation:

As per graph it is visible that the slope is negative, it goes down when x-value increases

Use two points to find the slope:

(-4, -1) and (0, -3)

Slope formula:

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

Value of the slope:

m = (-3 - (-1))/(0 - (-4)) = -2/4 = -1/2
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