Plainfield Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $50 and chairs cost $65. The center cannot spend more than $3000.


Which inequality represents all possible combinations of s stools and c chairs?


a) 50s + 65c ≤ 3000


b)50c + 65s ≤ 3000


c) 50c + 65s ≥ 3000


d) 50s + 65c < 3000

Answer:

$9.98

Step-by-step explanation:

The first step is to calculate the total fabric that Calista has

= 2 1/2 + 1 3/4

= 5/2 + 7/4

= 17/4

The next step is to calculate the fabric that she needs

= 17/4-3

= 5/4

If each yard of fabric costs $7.98 then the amount needed can be calculated as follows

= 7.98 × 5/4

= 7.98 × 1.25

= 9.975

= $9.98

Hence Kalista needs $9.98

Answer:

We conclude that the equation of this line in the slope-intercept form will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Given the equation

[tex]3z +y=2[/tex]

Writing the equation in the slope-intercept form of the line equation by simplifying it

subtracting 3z from both sides

[tex]3z+y-3z = -3z+2[/tex]

[tex]y = -3z+2[/tex]

Therefore, we conclude that the equation of this line in the slope-intercept form will be:

Answer:

-53

Step-by-step explanation:

If x=3 and y=-4

Plug the numbers into the equation

3 - (-4) - 3 + (-57)

Now solve the equation right to left

3 - (-4) = 7

7 - 3 = 4

4 - 57 = -53

So the answer is -53

Answer:

The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]

Step-by-step explanation:

We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line [tex]y=-\frac{1}{3}x+4[/tex]

The general form of point-slope is; [tex]y-y_1=m(x-x_1)[/tex]

where m is slope and [tex](x_1,y_1)[/tex] is the point

We need to calculate slope.

We are given equation of line [tex]y=-\frac{1}{3}x+4[/tex] that is perpendicular to the required line.

The equation is given in slope-intercept form [tex]y=mx+b[/tex] where m is slope.

Comparing both equations we get m= -1/3

But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e [tex]m=-\frac{1}{m}[/tex]

So, slope of required line is m = 3 (opposite reciprocal of -1/3)

Now, the equation in point-slope form having slope m=3 and point (6,-5) is

[tex]y-y_1=m(x-x_1)\\y-(-5)=3(x-6)\\y+5=3(x-6)[/tex]

So, The equation in point-slope is [tex]\mathbf{y+5=3(x-6)}[/tex]

Answer:

let x be the length of the shorter piece.

4x + x= 210

x= 42.

4x= 168

The shorter piece is 42in and the long piece is 168 in.

The length of the shorter piece will be;

⇒ x = 44 inch

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

A 220-inch pipe is cut into two pieces.

And, One piece is four times the length of the other.

Now,

Since,  One piece is four times the length of the other.

Let height of shorter piece = x

Then, The height of longer piece = 4x

Hence, We can formulate;

⇒ x + 4x = 220

Solve for x as;

⇒ 5x = 220

⇒ x = 220 / 5

⇒ x = 44

Thus, The length of the shorter piece will be;

⇒ x = 44 inch

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Answer:

I dont know if this is right but I think its 125/343

Answer:

slope: -1/3     y intercept: 2

Step-by-step explanation:

I'm also in Algebra 1 and I'm not completely sure.

Answer:

dzxfchgjvhkbjl

Step-by-step explanation:

The graph showing the change in the whales distance over time is given by y = 0.5x

An equation is an expression that shows the relationship between two or more numbers.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Let y represent the total distance covered for x minutes.

Let the constant rate be m miles per minute. The whale swam at a constant rate for 5 minutes and covered 2.5 miles in that time. Hence:

2.5 = 5(m)

m = 0.5 miles per minute

y = 0.5x

In 1 minute:

y = 0.5(1) = 0.5 miles

The graph is given by y = 0.5x

The graph of the amount of money that River Run Canoes have a y intercept of 10 and slope of 10.

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Answer:

a200

Step-by-step explanation:

Answer:

5184

Step-by-step explanation:

9 squared is 81 (9 x 9)

8 squared is 64 (8 x 8)

64 x 81 is 5184

Answer:4x2

Step-by-step explanation:

Answer:

10/0

Step-by-step explanation:

Answer:

answer below

Step-by-step explanation:

2. The slope is 4

3. The slope is 3.

4. the slope is 14.

5. She reads 2100 pages in x hours                                  

Answer:

j = 8m + 48 is correct

Step-by-step explanation:

You see that the y-intercept where x is equal to is 48, and after one month it increases by 8, so we have j = 8m + 48. You were correct

Answer:

D. f(x) = 8x

Step-by-step explanation:

At each increasing x point, the y point increases by 8, this means that for each x increasing by 1, y increases by 8, which means y = 8x

Answer:

Fourth choice, f(x) = 8x

Step-by-step explanation:

y is going up or down and x is left or right, u riht the slope like y/x

so it's going up 8 units every 1 unit it goes to the right so it's 8/1 which is 8 so 8 is ur slope

Answer:

formulla of perimeter of rectangle

Step-by-step explanation:

perimeter of rectangle=2(l+b)

= 2(7.5+3.25)

=2(11.25)= 22.5

Step-by-step explanation:

l = 7.5cm

b = 3.75cm

perimeter of rectangle = 2(l+b)

= 2(7.5+3.75)

= 2(11.25)

=22.5cm

Answer:

40 total rocks

Step-by-step explanation:

100 * 36 / 90 = 40

Answer:

he needs 4 more

Step-by-step explanation:

Answer: b. 160

Step-by-step explanation: just took the test

There are 160 minutes would the water level be less than or equal to 64 cups.

A relation by which we can compare two or more mathematical expression is called an inequality.

Here, The equation we're given is,

W = -0.414t + 129.549,

which an be written as,

-0.414t + 129.549 = W.

Now, We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups.  

Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:

-0.414t + 129.549 - 129.549 ≤ 64 - 129.549

-0.414t ≤ -65.549

Now divide both sides by -0.414:

-0.414t/-0.414 ≤ -65.549/-0.414

t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

t ≥ 160 minutes

Thus, There are 160 minutes would the water level be less than or equal to 64 cups.

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Answer:

(3,4,5) is the answer

Step-by-step explanation:

Answer:

750 miles

Step-by-step explanation:

25+0.05x=40+0.03x

0.02x=15

x=750

Answer:

Respectful ??

Step-by-step explanation:

Answer:

ldlelskekkskek

Step-by-step explanation:

zkmelslelslsps

Answer:

9.21*10^4

Step-by-step explanation:

Answer:

you put 3x and 9 on the left side of the box then you put 5x and 9 on the top of the box then you multiply 3x and 5x which is 8x and you put that in your first square... then you do the same its a pattern did i explained ok or good..

Step-by-step explanation:

Answer:

8y+2zand^3x+3z+4

Step-by-step explanation:

Answer:

$972

Step-by-step explanation:

900 * 0.08 = 72

900 + 72 = 972

Hope this helped, let me know if you need a better explanation!