Which values from the specified set make up the solution set of the inequality?

5w–10>20 ; {5,6,7,8}

Select each correct answer.

5
6
7
8

Answers

Answer 1

5w - 10 > 20      add 10 to both sides

5w > 30     divide both sides by 5

w > 6

Answer: 7 and 8.
Answer 2

Answer: 7 and 8

Step-by-step explanation:


Related Questions

what is the value of the lower quartile?
a.0
b.8
c.6
d.2
thank you!

Answers

Answer:

D

Step-by-step explanation:

From the box- plot the left hand side of the box represents the lower quartile

that is [tex]Q_{1}[/tex] = 2 → D


Molly ran 2/3 of a mile in 8 minutes. If Molly runs at the same speed, how long will it take her to run one mile

Answers

12 minutes to run one mile

Answer:

It will take 12 minutes

Step-by-step explanation:

We can use ratio's to solve the problem

2/3 mile          1 miles

------------   = ------------------

8 minutes      x minutes


Using cross products

2/3 * x = 8*1

Multiply each side by 3/2 to isolate x

3/2 * 2/3 x = 3/2 * 8

x = 12

Are the equations 2x + 14 = 8 and x = -3 equivalent? Explain.

Answers

Answer:

They are equivalent

Step-by-step explanation:

2x+14 = 8

Lets solve for x

Subtract 14 from each side

2x+14-14 = 8-14

2x = -6

Divide by 2

2x/2 = -6/2

x = -3

They are the same

Answer:

Yes

Step-by-step explanation:

Solving for 2x+14=8

Subtract 14 on both sides: 2x= 8-14

2x = -6

Divide by 2: x = -3

-3 = -3

Hope this helps!!

Three bricklayers from the Emerald Construction Company are working on the new addition to an office building. The first bricklayer laid 8,792 bricks; the second laid 9,491 bricks; and the third laid 9,629 bricks this week. How many bricks did they lay in all?

Answers

This question is asking us to find the sum.


8,792 + 9,491 + 9,629 =  27, 912


They lay 27, 912 bricks in all.


Hope helps!-Aparri

Answer: Three bricklayers from the Emerald Construction Company are working on the new addition to an office building. The first bricklayer laid 8,792 bricks; the second laid 9,491 bricks; and the third laid 9,629 bricks this week. They lay a total of 8,792 + 9,491 + 9,629 = 27, 912 bricks.

Step-by-step explanation:

First Brick Layer Laid: 8,792

Second Brick Layer Laid: 9,491

and lastly the

Third Brick Layer Laid 9,629

Now if you take all the bricks that each Brick layer has laid and add them all up (break down)

8,792+9,491+9,629= 27,912 bricks laid in all

that's the break down I hope this helps you all

Jeff Jones earns $1,200 per week. He's married and claims four withholding allowances. The social security rate is 6.2% on $118,500, and Medicare is 1.45%. Each paycheck, his employer also deducts $42.50 for health insurance. What's his net pay?

Answers

Jeff's net pay is $1,065.70 per week.

To calculate Jeff Jones's net pay, we need to consider several deductions from his gross pay.

1. Gross Pay: Jeff earns $1,200 per week.

2. Social Security Deduction: Social Security tax is 6.2% of the first $118,500 of earnings. Jeff's earnings are below this threshold, so his Social Security deduction is 6.2% of his gross pay.

Social Security deduction = 6.2% of $1,200 = 0.062 * $1,200 = $74.40

3. Medicare Deduction: Medicare tax is 1.45% of all earnings.

  Medicare deduction = 1.45% of $1,200 = 0.0145 * $1,200 = $17.40

4. Health Insurance Deduction: $42.50 is deducted for health insurance.

5. Total Deductions: Add up all deductions.

Total deductions = Social Security deduction + Medicare deduction + Health insurance deduction

= $74.40 + $17.40 + $42.50

= $134.30

6. Net Pay: Subtract total deductions from gross pay.

Net pay = Gross pay - Total deductions

= $1,200 - $134.30

= $1,065.70

Therefore, Jeff's net pay is $1,065.70 per week.

The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $12 per ticket to the planetarium. The second day they paid $90 for transportation plus $9 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.

Answers

Answer:  Total: 30 + 20y + 85 + 17y  This is the not simplified version.

37y+115 This is the simplified version. Hope this helps


Step-by-step explanation: I really don't know the steps.?


Mr. Jensen is a salesperson for an insurance company. His monthly paycheck includes a base salary of $2,175 and a commission of $250 for each policy he sells. Write an equation, in slope-intercept form, that represents the total amount, y, in dollars, of Mr. Jensen's paycheck in a month when he sells x policies. Do not include dollar signs in the equation.

Answers

Answer:

y = 250x + 2175

Step-by-step explanation:

Mr. Jensen month pay = 2175

Commission per policy = 250

Let "x" be the number of policy he sells and "y" is the total paycheck including the commission.

y = 250x + 2175

Thank you.

Answer:

y = 250x + 2175

Step-by-step explanation:

What is the diameter of a circle with a circumference of 66 ft? Use 22/7 for pie

Answers

Answer:

21 ft

Step-by-step explanation:

Diameter = Circumference/Pi

Diameter = 66/(22/7)

Diameter = 21

The jones family drove 1,200 miles in 3 days on the first day they traveled 1/4 of the total distance how many miles did they travel the first day

Answers

Answer:

They drove 300 miles on the first day

Step-by-step explanation:

They drove 1200 miles

They drove 1/4 on the first day

1200 * 1/4 = 300 miles

They drove 300 miles on the first day

Jill bought a 9 pound bag of cat food for her cats. She had used 4/5 of the bag. How many pounds has she used?

A. 9 4/5

B. 8 4/5

C. 8 3/5

D. 7 1/5

Answers

Answer:

D. 7 1/5

Step-by-step explanation:

We would calculate the amount of pounds she used by multiplying the total amount of cat food = 9 to the amount she has used = 4/5

= [tex]9 * \frac{4}{5}[/tex]

= [tex]\frac{36}{5}[/tex]

= [tex]7 \frac{1}{5}[/tex]

(An image is attached for the calculation)

How would u convert 5 feet 6 inches in inches

Answers

1 feet is 12 inches.

We have 5 feet and 6 inches. First, let's convert the feet to inches. 5 times 12 is 60, so 5 feet is 60 inches.

Now add 60 inches to the 6 inches that we didn't mention. 60 plus 6 is 66. Thus, 5 feet and 6 inches is 66 inches.

Answer:

The answer is 66

Step-by-step explanation: 1 foot is 12 inches so you do 12 times 5 and get 60 and then add the next 6 inches... :)


Given cos a= 3/5, sin B = 5/13 and a and B are first quadrant angles find cos(a + B)
A. 1/3
B. 16/65
C. -33/65

Please explain

Answers

Answer:

Option B is correct.

Value of cos(a+B) is,  [tex]\frac{16}{65}[/tex]

Step-by-step explanation:

Using the formula:

[tex]\cos(a+B) = \cos a \cos B -\sin a \sin B[/tex]

Given the values:

[tex]\cos a = \frac{3}{5}[/tex] and [tex]\sin B = \frac{5}{13}[/tex]

Using trigonometric identity:

[tex]\sin^2 \theta + \cos^2 \theta =1[/tex]

or

[tex]\sin \theta = \sqrt{1-\cos^2 \theta}[/tex]

or

[tex]\cos \theta = \sqrt{1-\sin^2 \theta}[/tex]

Find the value of sin a and cos B;

Using trigonometric identity:

[tex]\sin a = \sqrt{1-\cos^2 a}[/tex]

[tex]\sin a = \sqrt{1-(\frac{3}{5})^2}[/tex] = [tex]\sqrt{1-\frac{9}{25}} = \sqrt{\frac{25-9}{25}}=\sqrt{\frac{16}{25} } =\frac{4}{5}[/tex]

Similarly;

[tex]\cos B = \sqrt{1-\sin^2 B}[/tex]

[tex]\cos B = \sqrt{1-(\frac{5}{13})^2}[/tex] = [tex]\sqrt{1-\frac{25}{169}} = \sqrt{\frac{169-25}{169}}=\sqrt{\frac{144}{169} } =\frac{12}{13}[/tex]

Substitute these given values equation [1] we have;

[tex]\cos(a+B) =\frac{3}{5} \cdot \frac{12}{13}-\frac{4}{5} \cdot \frac{5}{13}[/tex]

[tex]\cos(a+B) =\frac{36}{65}-\frac{20}{65}[/tex]

then;

[tex]\cos(a+B) =\frac{36-20}{65}=\frac{16}{65}[/tex]

Since, the angles a and B are in first quadrant angles therefore the value of cos(a+B) is, [tex]\frac{16}{65}[/tex]


Final answer:

To find cos(a + B), use the formula cos(a + B) = cos(a)cos(B) - sin(a)sin(B). Substitute the given values of cos(a) = 3/5 and sin(B) = 5/13, and solve for cos(B) using the Pythagorean identity. Then substitute all the values into the formula and simplify to find cos(a + B) = 16/65.

Explanation:

To find cos(a + B), we can use the formula:

cos(a + B) = cos(a)cos(B) - sin(a)sin(B)

Given that cos(a) = 3/5 and sin(B) = 5/13, we can substitute these values into the formula:

cos(a + B) = (3/5)(cos(B)) - (sin(a))(5/13)

To find cos(B), we can use the Pythagorean identity:

cos²(B) + sin²(B) = 1

Substituting the given value of sin(B), we can solve for cos(B):

cos(B) = √(1 - (5/13)²)

Now we can substitute the values of cos(a), sin(B), and cos(B) into the formula for cos(a + B):

cos(a + B) = (3/5)(√(1 - (5/13)²))) - (5/13)(5/13)

Simplifying this expression gives us the final answer: cos(a + B) = 16/65.

What are the x–coordinates of the three points where the graphs of the equations intersect? x3 – 10x = x2 – 6

Answers

Answer:

(- 3, 0), (2 + [tex]\sqrt{2}[/tex], 0), (2 - [tex]\sqrt{2}[/tex], 0)

Step-by-step explanation:

rearrange the equation equating to zero

x³ - x² - 10x + 6 = 0

note that when x = - 3

(- 3)³ - (- 3)² - 10(- 3) + 6 = - 27 - 9 + 30 + 6 = 0, hence

x = - 3 is a root and (x + 3) is a factor of the polynomial

dividing x³ - x² - 10x + 6 ÷ (x + 3) gives

(x + 3)(x² - 4x + 2) = 0

solve x² - 4x + 2 = 0 using the quadratic formula

with a = 1, b= - 4 and c = 2

x = (4 ± [tex]\sqrt{16-(4(1)(2)}[/tex])/ 2

  = (4 ± [tex]\sqrt{8}[/tex]) / 2

  = (4 ± 2[tex]\sqrt{2}[/tex]) / 2

  = 2 ±[tex]\sqrt{2}[/tex], hence

x = 2 + [tex]\sqrt{2}[/tex], x = 2 - [tex]\sqrt{2}[/tex]

intersect at (- 3, 0), (2 +[tex]\sqrt{2}[/tex], 0), (2 - [tex]\sqrt{2}[/tex], 0)



Answer: [tex]\bold{x=-3,\quad x=2+\sqrt{2}, \quad x=2-\sqrt{2} }}[/tex]

Step-by-step explanation:

First, move all terms to one side with zero on the other side so the Zero Product Property can be applied:

x³ - x² - 10x + 6 = 0    Possible rational roots are: ±{1, 2, 3, 6}

Use synthetic division to find one of the roots.  Let's try x = -3

-3 |  1    -1    -10    6

   |  ↓   -3    12    -6

      1    -4     2     0  ← remainder is zero, so x = -3 is a root/intercept


Next, evaluate the reduced polynomial x² - 4x + 2 = 0

This can not be factored so use the quadratic formula to find the remaining roots/intercepts: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a = 1, b = -4, c = 2

[tex]x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}[/tex]

 [tex]=\dfrac{4\pm\sqrt{16-8}}{2}[/tex]

 [tex]=\dfrac{4\pm\sqrt{8}}{2}[/tex]

 [tex]=\dfrac{4\pm2\sqrt{2}}{2}[/tex]

 [tex]=2\pm\sqrt{2}[/tex]

[tex]x=2+\sqrt{2}\qquad x=2-\sqrt{2}[/tex]

Intercepts are [tex]x=-3,\quad x=2+\sqrt{2}, \quad x=2-\sqrt{2}}[/tex]


A moving walkway at an airport moves at a pace of 1.75 feet per second. If you stand on the walkway as it moves, how long will it take to transport you 280 feet? CLEAR CHECK 160 seconds 278.25 seconds 490 seconds 625 seconds

Answers

Answer:

2 minutes 40 sec

Step-by-step explanation:

Recall that distance = rate times time.

Thus, time = distance / rate.

Here,

time = 280 ft / (1.75 ft/sec) = 160 sec, or 2 minutes 40 sec

Final answer:

To calculate the time it takes to travel 280 feet on a moving walkway at an airport moving at a pace of 1.75 feet per second, we use the formula time = distance/pace. This equates to approximately 160 seconds.

Explanation:

The question is asking about the time it takes to transport someone along a distance of 280 feet by a moving walkway in an airport, given that the pace of the walkway is 1.75 feet per second. To answer this, you use the formula of time = distance/pace. So we have time = 280 feet / 1.75 feet per second. This calculation will give you the answer in seconds. When you do this calculation, you will find that it takes approximately 160 seconds to cover that distance on the moving walkway.

Learn more about Time-Distance Calculation here:

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Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠3?
A) ∠5 and ∠6
B) ∠5 and ∠7
C) ∠6 and ∠7
D) ∠6 and ∠8

Answers

C) 6 and 7.

angles that are opposite to each other are congruent.

Answer:

C) ∠6 and ∠7

Step-by-step explanation:

We have been given that lines a and b are parallel. We are asked to find the angle on line b that will be congruent to angle 3.

We can see that angle 3 is under the line a and on the left side of transversal.

We know that the corresponding angles and alternate interior angles formed by two parallel lines are equal.

We can see that angle 7 corresponds to angle 3 and angle 6 is alternate interior angle of angle 3.

Therefore, angle 7 and angle 6 will be congruent with angle 3 and option C is the correct choice.

multiplying integers


3(-7)

Answers

Answer:

-21

Step-by-step explanation:

3(-7)

3*7 =21

A positive times a negative is a negative

-21

Answer:

3x-7=21 ( i think )

Step-by-step explanation:

when you have a parenthesis beside a number you always multiply. A negative times a positive is a negative,

What is the pattern in this sequence?

1,9,17,25,33,...

Select from the drop down box to correctly complete the rule.
First Box
Add
Multiply by
Subtract
Divide by

Second box
9
8
-5
-9

Choose one from each box!



2. The ordered pairs model an exponential growth function
{(-1, 21.875), (0,35), (1,56), (2, 89.6)}
what is the function equation?

Enter your answer in the box
F(x)=

Answers

Answer in #1 it ads up by 8


Number 1 is Add by 8

& I'm not sure about number 2


Julie drew a picture of her rectangular garden,. In her picture,the length of her garden is 7/8 inches and the width is 3/4 inches. She thinks the area of her picture is 21/32 inches. do you agree or disagree with Julie ? JUSTIFY YOUR ANSWER.(Area=Length X Width)

Answers

Answer:

21/32 square inches.


Step-by-step explanation:

The area of a rectangle = length x width

The area of her picture = length x widht

= 7/8 x 3/4

= 21/32

The area of her picture is 21/32 square inches.

Yes, I agree the area of the picture is 21/32 square inches.

The area must be in square inches. So she need to specify it.

Thank you.

If the original price is $23.99 and the mark down is 44% what is the sale price

Answers

Answer:

The sale price is $13.43

Step-by-step explanation:

In order to find the sale price of an item, we multiply it by the remaining percentage of cast left. Since we are subtracting 44% of the cost, that means that we are paying 56% of it. Therefore, we can multiply the cost by 56%

23.99 * .56 = $13.43

Answer: $13.43

Step-by-step explanation:

make your 22% a decimal by dividing it by 100 equaling 0.22 then since its markDOWN you subtract 1.00 - 0.22 equaling 0.88 then multiply 0.88 by $23.99 which is supposed to equal $13.43

20 POINTS ANSWER SOON PLEASE

Which table represents a proportional situation?


x f(x)
–1 –3
0 0
1 3
4 12


x f(x)
–2 2
0 4
2 6
3 7


x f(x)
–1 –5
0 –2
1 1
2 4


x f(x)
–1 5
0 1
1 –1
2 –3

Answers

Answer:

78

Step-by-step explanation:


Terry bakes bread. He uses the equation 3x-18=y to find the profit, y , in dollars. He paid $18 for supplies and earns $3 for each loaf he sells. What does x represent?

Answers

x=The number of loaves sold

Answer:

The number of loaves sold

Step-by-step explanation:


5y - 10 = -25
ok try this one buster.

Answers

Answer:

Y= -3

Step-by-step explanation:

5y-10=-25     Add 10 on both sides

5y=-15      Divide by 5 on both sides

y=-3

Is the system of equations consistent, consistent and coincident, or inconsistent? y=3x+4y=3x+3 Select the correct answer from the drop-down menu.

Answers

Answer: Inconsistent

Step-by-step explanation:

y = 3x + 4   → m = 3, b = 4

y = 3x + 3   → m = 3, b = 3

These equations have the same slope but different y-intercepts so they are parallel lines which means they will never intersect.

NOTES

one solution: consistent & independent        lines crossinfinite solutions: consistent & dependent     same lineno solution: inconsistent                                  parallel lines

Answer:

Inconsistent

Step-by-step explanation:

What number is 0.95 of 3500

Answers

Answer:

Alright well Convert fraction to an decimal, then multiply by 100

0.02714285% Hope this helps have a nice day :)

Step-by-step explanation:


the answer is 33.25 because if 3500 equal 100% and x equals 0.95 it will simplify into 33.25

what is 3w - 60 if the perimiter is 449 yards?

Answers

Answer:

sooo sorry im in the third grade and notised that this is not my onw level but i really thought i could help u sorry ;(


Step-by-step explanation:


plz help me with these two questions :)

Answers

26)b and c
27) a, b and c
26 would be B I don't know what the other one is

Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

Answers

Answer:

m∠A=m∠D=60°, m∠B=m∠C=120°

Step-by-step explanation:

Consider isosceles trapezoid ABCD with midsegment MN. Draw two trapezoid heights BF and CE. Then quadrilateral FBCE is rectangle and EF=BC=17 units.

By the trapezoid midsegment theorem,

[tex]MN=\dfrac{AD+BC}{2},\\ \\30=\dfrac{AD+17}{2},\\ \\60=AD+17,\\ \\AD=60-17=43\ units.[/tex]

Segments FA and ED are equal to [tex]\dfrac{43-17}{2}=13\ units.[/tex]

In right triangle ABF, the hypotenuse AB is twice greater than the leg FA, then m∠FBA=30°.

m∠B=m∠FBA+m∠CBF=30°+90°=120°.

In isosceles trapezoid

m∠B=m∠C=120°,

m∠A=m∠D and m∠A=180°-m∠B=180°-120°=60°=m∠D.


Final answer:

In a trapezoid with equal bases and a midsegment, the angle measures of the trapezoid can be determined using the properties of the figure. In this case, the angle measures are 90 degrees for each angle.

Explanation:

In a trapezoid ABCD, the midsegment MN is parallel to the bases AB and CD, and its length is equal to the average of the lengths of the bases. Given that AB = 26, CD = 26, and MN = 30, we can set up the equation: MN = (AB + CD) / 2. Substituting the given values, we get 30 = (26 + 26) / 2. Solving for the angle measures, we can use the fact that the opposite angles in a trapezoid are congruent. So, m∠A = m∠C and m∠B = m∠D. Since the sum of the interior angles of a trapezoid is always 360 degrees, we can use the equation: m∠A + m∠B + m∠C + m∠D = 360. Substituting the angle measures we found, we get 2(m∠A) + 2(m∠B) = 360. Solving for the angle measures, we get m∠A = m∠C = 90 degrees and m∠B = m∠D = 90 degrees.

Learn more about trapezoid here:

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What is the pattern and slope ? Please answer !!

Answers

Answer:

The slope is 3

Step-by-step explanation:

To find the slope we can use the formula

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

Using the points (5,14) and (-5,-16)

m= (-16-14)/ (-5-5)

  = -30/-10

 = 3

The coordinates of the vertices of JKL are J(-5, -1), K(0, 1) , and L(2, -5). Which statement correctly describes whether JKL is a right triangle?

Answers

Answer:

It is NOT a right triangle.

Step-by-step explanation:

You must figure out the slopes of the segments of the triangle to see if it is a right triangle. If they are perpendicular (meaning the slopes are negative reciprocals of each other), they form a right angle, making it a right triangle.

[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex] This formula finds slope using two points.


Let's figure out the slope of JK.

(-1-1)/(-5-0) = m

Simplify.

-2/-5 = m

A negative divided by a negative makes a positive.

2/5 = m

Now LK.

(-5-1)/(2-0) = m

Simplify.

-6/2 = m

Divide.

-3/1 = m

Now JL.

(-1+5)/(-5-2) = m

Simplify.

4/-3 = m

None of these slopes are negative reciprocals of each other, thus deeming it not a right triangle.

Four friends went to a local amusement park. Three of the friends bought ride tickets for x dollars, plus a game pass for $10. The other friend bought just a ride ticket. Write and simplify an expression showing the amount of total money spent.

Answers

Answer:

4X + 30 = TOTAL AMOUNT OF MONEY

Step-by-step explanation:

All of them bought a ride ticket (that explains the 4x)

3 of them also bought a game pass thet costs $10 each. That explains the 30


going deeper: If the total amount of money was $70

The tickets would've costed $10 each.

Look:

4x + $30 = $70

4x = 70 - 30

4x = 40

x = 40/4

x =$10

4x + 30

X=$10 dollars for each ticket the whole is $70
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