5. In your part-lime job selling kitchen knives, you have two different sets available.
The better sel sells for $35, the cheaper set for $20. Last week you sold more of the
cheaper set, in fact Iwice as many as the better sets. Your receipts for the week totaled
$525. How many of the better sets did you sell?

The shape PQRS is a parallelogram

The given parameters are:

[tex]\mathbf{\angle PQR = 106}[/tex]

[tex]\mathbf{\angle QSR = 49}[/tex]

[tex]\mathbf{\angle PRS = 35}[/tex]

(a) Find QRS

This is calculated as:

[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]

So, we have:

[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]

[tex]\mathbf{\angle QRS = 70}[/tex]

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]

So, we have:

[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]

[tex]\mathbf{\angle PQS = 53}[/tex]

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]

Where:

[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]

So, we have:

[tex]\mathbf{\angle RPS = 35}[/tex]

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]

Where:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]

So, we have:

[tex]\mathbf{\angle PSQ =53}[/tex]

Hence, the measure of angle PSQ is 53 degrees

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The value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given equation is,

( x + yi ) + ( 4 + 9i ) = 9 - 4i

The points are x= 5 and y = -13,

( x + yi ) + ( 4 + 9i ) = 9 - 4i

( 5 -13i ) + ( 4 + 9i ) = 9 - 4i

5 + 4 -13i+9i = 9-4i

9-4i = 9 - 4i

Therefore, the value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.

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Answer:

x=-11

Step-by-step explanation:

5x+2=4x-9

5x-4x=-9-2

x=-11

    (3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]

(3/5)n - (2/5)n = 10 -15       [simplify]

             (1/5)n =   -5           [multiply both sides by 5]

                    n = - 25

Answer:

6

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

Answer:

the value of Celsius temperature is 100

o

 when Fahrenheit temperature is 212

o

.

Step-by-step explanation:

Answer:

1. £44.82

2. £99.78

3.not sure

4. not sure

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

Answer:a I think although I’m really tired

Step-by-step explanation:

Answer:

b) 3 miles per hour

Step-by-step explanation:

If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.

6 ÷ 2 = 3.

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]

[tex]Simplify\\[/tex]

[tex]2p=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]

[tex]p=-10[/tex]

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

=-65*5

=-325

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Answer:

Step-by-step explanation:

Answer:

16777216

It took a lot of space on the calculator

Answer:

Price of shirt=RM9.8

Step-by-step explanation:

Shirt=x Trouser=y

x+y=RM20

5x+y=RM59.20

y=20-x

5x+20-x=59.20

4x=39.20

x=9.8

y=20-9.8

y=10.2

Answer:

c

Step-by-step explanation:

because all of the lines except for the last one is the same. so its aaaab

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.

Answer:

what are the choices so I could help

Answer:

see explanation

Step-by-step explanation:

∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]

Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.

Then

5x - 3 = 4 ( add 3 to both sides )

5x = 7 ( divide both sides by 5 )

x = [tex]\frac{7}{5}[/tex] = 1.4

and

2y + 6 = 4 ( subtract 6 from both sides )

2y = - 2 ( divide both sides by 2 )

y = - 1

Answer:

[tex] \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} [/tex]

I hope I helped you^_^

Answer:

(0,-7) (2,0) (7,0) (7,2)

Step-by-step explanation:

Answer:

rdinates (4,5),(8,2) named point z

Step-by-step explanation:

Answer:

-9/16 > -7/10

Step-by-step explanation:

Answer:

2110.08 meters

Step-by-step explanation:

find the circumference of the wheel

Divide 84 by 2 to find the radius.

84/2=42

C=2πr

C=2(3.14)(42)

C=263.76 cm

263.76*800=211008cm

Divide by 100 to convert to meters

211008/100=2110.08

2110.08 Meters

Hope this helps!

Answer:

h = 20

Step-by-step explanation:

540π = 1/3 . h . π . 9^2

get rid of π

540 = 1/3 . h . 9^2

multiply by 3 to get rid of 1/3

3 . 540 = h . 9^2

1620 = h . 81

divide by 81

1620/81 = h

20 = h

Hope that helps :)

Answer:

frist parentheses then subtract

The solution of equation  2(2x+3)-2 = 52(2x+3)−2 = 5 is x = -29/20.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

The given equation:

2(2x+3)-2 = 52(2x+3)−2 = 5

Simplifying,

2(2x+3)-2 = 52(2x+3)−2 - 5

Using PEMDAS,

first, we solve the parentheses

4x+6 - 2 = 104x + 156 - 2 - 5

4x+4 = 104x + 149

104x - 4x = 4 - 149

100x = -145

x = -145/100

x = -29/20

Therefore, the value of x is  -29/20.

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Answer:

a= 2

Step-by-step explanation:

2 × 2 -10=6

4-10= 6

6=6