1) Mark is buying 4 chairs for his business. The table shows the prices and the advertised sales for the same type
of chair at 4 chair stores.
Based on the advertised sales, at which store will mark get the lowest price on 4 chairs?
A) Store A: Buy 3 chairs and get the 4th chair free
B) Store B: Buy 4 chairs and receive $150 off the price of each chair
C) Store C: Buy 4 chairs and receive $550 off the total price
D) Store D: Buy 4 chairs and receive 35% off the total price
Quantitative Reasoning
(QR.6) Proportional Relationships
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The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499

The equation of a line  can be represented as follows:

y - y₁ = m(x - x₁)

where

Therefore, (7, 450)(14, 401)

m = 401 - 450 / 14 - 7 = -49 / 7 = -7

Therefore, using (7, 450)

y - 450 = -7(x - 7)

y - 450 = -7x + 49

y + 7x = 49 + 450

y + 7x = 499

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Answer:

3 miles/hour.

Step-by-step explanation:

If the question is what is Bryce's average speed over the lap it is:

Distance / time

1/3 / 1/9

= 1/3 * 9

= 9/3

= 3 miles/hour.

volume: volume of cone is 1/3πr^2h

radius is 2

height is 6

plug into equation: 1/3π(2)^2*6=about 2.55 or 8π

surface area: surface area of cone is πrs+πr^2 where s is slant height.

to find slant height use pythagorean theorem: √(2^2+6^2)=√40

radius: 2

height:6

slant height: √40

plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π

Answer:

60 copies would cost 3.60

Step-by-step explanation:

Answer:

mPS = 80°

Step-by-step explanation:

angles on a circle subtended by the same arc are congruent

∠ PQS and ∠ PRS are both subtended by arc PS , then

10 + 3x = 110 - 7x ( add 7x to both sides )

10 + 10x = 110 ( subtract 10 from both sides )

10x = 100 ( divide both sides by 10 )

x = 10

then

∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°

the inscribed angle PQS is half the measure of its intercepted arc PS , then

PS = 2 × 40° = 80°

length= 9 cm

width= 5 cm

height= 4 cm

the surface area of the given cuboid.

[tex]s.a = 2(lb + bh + lh)[/tex]

[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]

[tex]s.a = 2(45 + 20 + 36)[/tex]

[tex]s.a = 2 \times 101[/tex]

[tex]s.a = 202 \: {cm}^{2} [/tex]

therefore, the surface area of the given cuboid is 202 square centimeters.

I think it is negitave 6 times  negitave 6 hope this helps.

The measure of minor arc BC is equal to ∠BPC which is 147 degrees.

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

From the diagram:

4k + 159 = 2k + 153 (vertical opposite angles are equal)

4k + 159 = 2k + 153

k = -3

Arc Bc = 4k + 159 = 4(-3) + 159 = 147

The measure of minor arc BC is equal to ∠BPC which is 147 degrees.

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Answer: 147 :)

Step-by-step explanation:

khan academy

Answer:

the answer is 15-8

I hope this helps you

Answer:

-15+8

Step-by-step explanation:

The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)

The rational equation is given as:

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]

Factorize the quadratic denominator

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]

Write out the denominators

(x + 2), (x - 1) and (x -1)(x - 2)

Remove the repetition

(x + 2) (x -1)(x - 2)

Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)

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[tex]P = l + l + b + b[/tex]

[tex]P = 2(2a + 3) + 2(8a - 12)[/tex]

[tex]\boxed{\sf{P=20a-18}}[/tex]

[tex]P = 20(3) - 18[/tex]

[tex]P = 60 - 18[/tex]

[tex]\boxed{\sf{P = 42 cm}}[/tex]

[tex]P = (3b + 7) + (7b - 2) + (7b - 2)[/tex][tex]\boxed{\sf{P = 17b+3}}[/tex]

[tex]P = 17(6) + 3[/tex]

[tex]P = 102 + 3[/tex]

[tex]\boxed{\sf{P = 105 \: m}}[/tex]

Answer:

30, 30, 120

Step-by-step explanation:

Answer:

•50, 30, 100

Step-by-step explanation:

One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.

Answer:

-4 and -8

Step-by-step explanation:

(x+4)(x+8) = 0

x+4 = 0 or x +8 = 0

x = -4 or x = -8

Answer:

They will cross the finish line together in 175 minutes.

Step-by-step explanation:

This question asks you to consider the 25 and 35 times table.

I listed the 25 and 35 times tables and tried to find the lowest common multiple.

You can see that on Josephs' 7th lap of the track he will cross the line simulatneously with Owuor who will be on his 5th lap.  So the answer should be 175 minutes.

25 × 1 = 25   35 × 1 = 35

25 × 2 = 50   35 × 2 = 70

25 × 3 = 75       35 × 3 = 105  

25 × 4 = 100   35 × 4 = 140

25 × 5 = 125   35 × 5 = 175

25 × 6 = 150     35 × 6 = 210

25 × 7 = 175

25 × 8 = 200

Answer:

2

Step-by-step explanation:

-3 log₂ (-n + 10) = -16+7

-3 log₂ (-n + 10) = -9

log₂ (-n + 10) = -9/-3

log₂ (-n + 10) = 3

-n + 10 = 2^3

-n + 10 = 8

n=2

Answer:

21.

Step-by-step explanation:

Angles subtended by the same arc on the circumference of the circle are congruent, so:

2x = 42

x = 21.

Answer:

Step-by-step explanation:

Answer:

That would be 0.6 that means 60 percent.

Answer:

Probability of not spinning an even number is 0.6

Step-by-step explanation:

Total probability is 100 since it represented by %.

Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply

100% - 40% = 60%

Expressing 60% as a decimal gives us 0.6

Answer:

irrational

Step-by-step explanation:

irrational because it has decimals at the end.

Since we can write the given decimal number into fractional form therefore it is a rational number.

Use the concept of decimals defined as:

Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.

The given number is:

2.06532

The number 2.06532 is rational because it can be expressed as a fraction of two integers.

In this case,

It can be written as the fraction 206532/100000.

Hence,

The given number is a rational number.

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Answer:

PQ = 6 units

Step-by-step explanation:

note that the y- coordinates of P and Q are both - 7

then PQ is the difference in the x- coordinates, that is

PQ = | 7 - 1 | = | 6 | = 6

or PQ = | 1 - 7 | = | - 6 | = 6

Answer:

(g · f)(4) = 45

Step-by-step explanation:

f(x)=4x+1

g(x)=x² - 4x- 5

(g · f)(x) = 4(x² - 5) + 1

(g · f)(4) = 4(4² - 5) + 1

Following pemdas

(g · f)(4) = 4(16 - 5) + 1

(g · f)(4) = 4(11) + 1

(g · f)(4) = 44 + 1

(g · f)(4) = 45

Answer:

BC / 8 = sin 35° by definition.

Step-by-step explanation:

Answer:

scale factor = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , Q to P , then

scale factor = [tex]\frac{3}{4}[/tex]

Answer:

Below.

Step-by-step explanation:

This is the correct solution:

6 - 2x + 5 + 4x

= -2x + 4x + 6 + 5

= 2x + 11.

It looks like they added  unlike  terms together (4x + 5) to give 9x (incorrect)  then added the 4x to give 13x.

Answer:

-18

Step-by-step explanation:

Hope it helps....................................................

Range of temperatures does the average rate of change in temperature fall -13F and 9 F

The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.

Given function:

f(x)= -11 sin(7/3 x+ 1/6) -2

The function will be maximum at

7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -11 sin (3π/2) -2

= 11 -2

=9 F

The function will be minimum at

7/3 x +1/6= π/2

So, the maximum temperature will be

= -11 sin (π/2) -2

= -11 -2

= -13 F

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Answer:

4080 cm³

Step-by-step explanation:

Figure is of a cuboid

Given length (l) = 30cm

breadth (b) = 17cm

height (h) = 8cm

Volume of cuboid = l.b.h

= 30 × 17 × 8

= 4080 cm³

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