Students need at least 75 hours of volunteer service to meet their graduation requirements. Sally has already completed 48 hours. Write and solve an inequality to determine how many more hours Sally needs to complete.

Answers

Answer 1

Answer:

48+x=75

Step-by-step explanation:

Subtract 48 from both sides. 75-48 is equal to 27. x=27

Answer 2

Answer:

x [tex]\geq[/tex] 27

Sally has to complete at least 27 more hours

Step-by-step explanation:

Let x represent the number of hours she will complete next

Since students need at least 75 hours, use a greater than or equal to sign.

The total number of hours that Sally will complete can be represented by

x + 48, since she has already done 48 hours.

Use the greater than or equal to sign, and put 75 on the other side:

x + 48 [tex]\geq[/tex] 75

Next, solve the inequality:

x + 48 [tex]\geq[/tex] 75

x [tex]\geq[/tex] 27

So, Sally has to complete at least 27 more hours.


Related Questions

what the slope of(12,7) (5,9) ​

Answers

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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]

[tex]slope = \frac{2}{ - 7} \\ [/tex]

[tex]slope = - \frac{2}{7} \\ [/tex]

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Answer:

[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m=\frac{9-7}{5-12}[/tex]

Solve the numerator.

Subtract 7 from 9 9-7=2

[tex]m=\frac{2}{5-12}[/tex]

Solve the denominator.

Subtract 12 from 5 5-12= -7

[tex]m=\frac{2}{-7}[/tex]

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7

Please Help! 30 Points. BRAINLIEST FOR CORRECT ANSWER!

Answers

Answer:

c20

Step-by-step explanation:

WHAT IS HELP PLEASE

6x2 -2x3 +x4 =?
DONT ANSWER TO GET QUICK POINTS

Answers

Answer:

i told you in the comment it equals 7

Step-by-step explanation:

The correct answer is / =10x

What is the equation of this graphed line?
Enter your answer in slope-intercept form.


Please answer quickly, whoever answers correctly I will give Brainliest, thank you.

Answers

Slope: (y2-y1)/(x2-x1)
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x

What is the gcf of 51 and 3

Answers

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3

So the greatest number of both is 3

Hope this helps

Evaluate p2 - r2 for p = 10, r = -4 and t = 5.

Answers

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

Find an equation of the circle that has center (-1,6) and passes through (-6,1)

Answers

Answer:

(x + 1)² + (y - 6)² = 50

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)

r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]

  = [tex]\sqrt{(-5)^2+(-5)^2}[/tex]

  = [tex]\sqrt{25+25}[/tex]

  = [tex]\sqrt{50}[/tex]

(h, k ) = (- 1, 6 ), then

(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is

(x + 1)² + (y - 6)² = 50 ← equation of circle

what is the highest common factor of 10,18 ,20 and 36​

Answers

Answer:

2

Step-by-step explanation:

Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12

The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF

Hope this helps

The HCF is 2.

What is HCF?

The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.

For example, 2 is the HCF of 4 and 6.

Given numbers:

10,18 ,20 and 36​

Now splitting the factors of each number we have

10=2*5

18=2*3*3

20=2*2*5

36=2*2*3*3

Hence, the Highest common factor is 2.

Learn more about HCF here:

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Courtney wants to sell her grandfathers antique 1932 Ford. She begins to set her price by
looking at ads, and finds these prices for similar cars: $23,600, $18,000, $30,000, $17,000, and $21,000.
What is the mean price of those five cars?

Answers

Answer:

$21,920

Step-by-step explanation:

you have to add each number then divide by number of items.

1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997

Answers

Answer:

June 7th, 1979

Step-by-step explanation:

1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.

June 7, 1979, is the earliest date. Option A is correct.

How to represent the date?

The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.

Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.

The earliest date is June 7, 1979.

Hence option A is correct.

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n(A)=10
n(B) = 12
n(AUB) = ?​

Answers

Answer:

n(AUB) = 33

Step-by-step explanation:

U is the 21'st letter of the alphabet so

9 + 1 + 2 + 21 =33

n(AUB) = 33

Determine the constant of proportionality for the graph.

PLEASE HELP ME!!!!

Answers

Answer:

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

Step-by-step explanation:

On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation [tex]\frac{rise}{run}[/tex]. In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.

[tex]\frac{2}{10} = \frac{1}{5}[/tex] simplified.

Travis would like to buy some toys to donate to charity. The expression 9d + 2c +3t
represents the total that Travis spent on toy trains, c cars, and d dolls in dollars. How much
did each car cost?
*ANSWER FAST PLEASE*

Answers

Answer:

Step-by-step explanation:

D. $14

Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)

Answers

Answer:

Expressions C and D correctly determine the markup price.

Step-by-step explanation:

A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.

When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.

[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]

Therefore, with this new decimal, we can add 1 to it.

[tex]1 + 0.32=\small\boxed{1.32}[/tex]

Finally, we multiply this result by the original price.

[tex]1.32 \times 400=\small\boxed{528}[/tex]

Therefore, we can already confirm that Expression C is one way to find the markup price.

We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.

Now, we can test the math for expressions D and E to see if either of these will equal $528.

Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.

[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]

Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.

[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]

Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.

PLEASE THESE 2 HELPPPPPPPPPPPP

Answers

Answer:

c and g

Step-by-step explanation:

a hiker walks 6km uphill along a trail, then returns downhill along the same trail. the hikers average speed is 2km/h greater on the downhill journey. write a simplified rational expression for the total time spent hiking un terms of average speed uphill, v km/h

Answers

Answer:

i

Step-by-step explanation:

he went slower go down because you try sliding gong down

after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball​

Answers

Answer:

7 seconds i think let me know if its wrong

Step-by-step explanation:

NEED ASAP . Plz help

Answers

It’s 4 and what they said

I need hep with the range

Answers

Answer:

[-7, 6]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -7 and the line's highest point is 6. The value is defined at both -7 and 10 since there is a closed circle in both locations- so we use brackets.

Can someone help plz? Jack and Jessica earned the same amount last week. Jack earned $18 per hour and had $41 taken from his check for taxes LaTeX: (18x-41)( 18 x − 41 ). Jessica earned $15 per hour and had $17 deducted from her pay. How many hours did each work in order to get paid the same amount?


Write the equation


Solve for the number of hours

Answers

Answer:

the answer is 8

Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours

2/18 x 16
answer fast !!!!!!!!!!!!!!

Answers

36/18

12/6

6/3


Answer is 2 :/

The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20​

Answers

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[tex] \sqrt{17} ≈4.1[/tex]

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The correct answer is Option Three .

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Answer:

C

Step-by-step explanation:

lol i’m so sorry for spamming im just dumb. y=?x+?

Answers

Answer:

y=1x-5

Step-by-step explanation:

3. What problems would you encounter if the ladder were too short or too long? (1 point)

Answers

Answer and explanation:

If the ladder was too short you wouldn’t be able to get to the place you need the ladder for. If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go. Hope this helps :p

The ladder were too short or too long  is p

If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.

What is the right angle triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.

Therefore the answer is :p

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A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus stops at the station in 24 hours?​

Answers

Answer:

H

Step-by-step explanation:

24 x 1 1/4

Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive?

Answers

She will receive $4.94
2.25x4.96=$11.16
.75x5.20=$3.90
11.16+3.90=15.06
20-15.06=4.94
Answer:  $4.94

=====================================================

Work Shown:

She paid 2.25*4.96 = 11.16 for the turkey

She paid 0.75*5.20 = 3.90 for the cheese

In total, the two amounts add to 11.16+3.90 = 15.06

The amount of change she'll get is 20 - 15.06 = 4.94 dollars

To calculate change quickly in your head, notice how the jump from 6 cents to 100 cents is 100-6 = 94 cents. So that moves us from $15.06 to $16, and the rest needed is $4. So that's how we get the overall change to be $4.94.

Identify the missing sides.
45°
20
:: 10
:: 20
1/2
:: 202
10/3
:: 20/3

Answers

Answer:

see explanation

Step-by-step explanation:

Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex]  = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

h = 20[tex]\sqrt{2}[/tex]

-----------------------------------------------------------------------------

Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )

x = 20

if I burned 225 calories in 45 minutes how much will I burn in one minute

Answers

Answer:

5 calories per minute

Step-by-step explanation:

225÷45=5

If x = 0 and y < 0, where is the point (x, y) located?

Answers

It’s 0 hope this helps(:

Help me ASAP please!

Answers

Answer:

∠1 and ∠3

∠6 and ∠8

∠5 and ∠7

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