Betsy sells laptops at an electronics store. She earns $180 a week, plus $15 for every laptop she sells. Betsy needs to earn at least $900 this week to meet her sales goal. Write and solve an inequality that can be used to determine the number of laptops Betsy needs to sell this week.

Answers

Answer 1

Answer:

15x + 180 ≥ 900

x ≥ 48

Step-by-step explanation:

x = amount of laptops needed to sell.

Equation:

15x + 180 ≥ 900

15x ≥ 720

x ≥ 48

Check:

15(48) + 180 = 900

720 + 180 = 900

900 = 900 (It's good, she needs to make at least 900, so she needs to sell at least 48 laptops).


Related Questions

Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?

Answers

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:

[tex]x \le 18[/tex]

Step-by-step explanation:

Given

[tex]Border\ Material = 72[/tex]

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then

[tex]4y = 72[/tex] -- i.e. the perimeter of the border material

Solve for y

[tex]y =\frac{72}{4}[/tex]

[tex]y =18[/tex]

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

[tex]x \le y[/tex]

Substitute [tex]y =18[/tex]

[tex]x \le 18[/tex]


Help pleaseeeeeeeeeee

Answers

Answer:

1.No

2.No

Step-by-step explanation:

5=x+5  x=10

5=10+5

5=15 is not solution

12x=196  x=7

12*7=196

84=196

In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?

Answers

Answer:

46°

Step-by-step explanation:

Given that :

Angle, A = 66°

Angle B = 68°

The sum of angles in a triangle is given by :

A + B + C = 180° (sum if angles una triangle)

66° + 68° + C = 180°

134° + C = 180°

C = 180° - 134°

C = 46°

Hence, angle C is 46°

Regina Falange is 173 cm tall, making her line of sight exactly 163 from the ground. She is looking at a hawk in a tree and both are on level ground. The trunk of the tree is 10 meters away from her location and the angle of elevation from her eyeline to the hawk is 30 degrees. What is the hawk’s height above the ground?
a. Drawn a diagram that outlines the situation. Be sure to label the tree, hawk, Regina, the angle, etc.
b. Find the height of the hawk above the ground in cm. (Hint: Remember Regina’s height.) Round to the nearest hundredth.

Answers

Answer: 7.40 meters

Step-by-step explanation:

I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)

All you do is:

tan(30)=opposite/adjacent

tan(30)=h/10

10*tan(30)=h

h≈5.77 meters

163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters

This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/

Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a purple bead?

Answers

Answer:

10/70

Step-by-step explanation:

Please help ASAP I’ll mark you as brainlister

Answers

Answer:

So Sorry Omg Wait I'll will come back

Answer:

The length of rectangular prism(l)=13inch

The breadth of rectangular prism(b)=9inch

the height of rectangular prism(h) =3inch

Volume of a rectangular cuboid =l×b×h

=13×9×3inch (write cube too)

=351 inch (write cube too)

Find the Volume if the height is 10 cm and radius 3 cm? Round to the nearest
whole number

Answers

[tex]282.8cm pa brainlest po[/tex]

Oliver drove 278 miles in 4 hours how much hours does it take him to drive 139 miles

PLSSS HELP

Answers

Answer:

34.75 i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]

Step-by-step explanation:

Let's set up a proportion to solve. Use the following setup:

[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]

We know that it takes Oliver 4 hours to drive 278 miles.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]

We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]

[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]

We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.

[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]

[tex]139*\frac {4 }{278 }={x }[/tex]

[tex]2=x[/tex]

It takes Oliver 2 hours to drive 139 miles.

Kenji deposited $10 in a savings account earning 10% interest, compounded annually.

To the nearest cent, how much will he have in 3 years?

Answers

0.3 so yea i guess....

Answer:

Step-by-step explanation: 380

A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?

Answers

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

 d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle  using the formula

   2 ( length + width)

 = 2 (12 + 2 )

           = 2 ( 14 )

           = 28 feet

 

Write in word form:

436,783,210

Answers

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

four hundred and thirty six

seven hundred and eighty three

two hundred and ten

Step-by-step explanation:

Please do Correctly will mark you Brainliest!

Answers

Answer:

279...................................

Answer:

[tex] \rm\displaystyle \: A _{ \text{ total}} = 212 [/tex]

Step-by-step explanation:

Prefer the attachment

so we have 3 rectangle

recall that,

[tex] \displaystyle \: A _{ \text{ rect}} = l \times w[/tex]

rectangle-1:

the width of the rectangle is 10m

and the length is 12+5=17m

so the area is

[tex] \displaystyle \: A _{ \text{ rect - 1}} = 17 \times 10[/tex]

[tex] \displaystyle \: A _{ \text{ rect - 1}} =170 \: {m}^{2} [/tex]

rectangle-2:

the length is 9 m

the width is 3 m

so the area is

[tex] \displaystyle \: A _{ \text{ rect - 2}} = 9 \times3[/tex]

[tex] \displaystyle \: A _{ \text{ rect - 2}} = 27 \: {m}^{2} [/tex]

rectangle-3:

the length is 5m

the width is 3m

so the area is

[tex] \displaystyle \: A _{ \text{ rect - 3}} = 5 \times 3[/tex]

[tex] \displaystyle \: A _{ \text{ rect - 3}} = 15 {m}^{2} [/tex]

total area:

[tex] \rm\displaystyle \: A _{ \text{ total}} =170 \: {m}^{2} + {27m}^{2} + {15m}^{2} [/tex]

[tex] \rm\displaystyle \: A _{ \text{ total}} = 212 {m}^{2} [/tex]

is negitive -2.5 greater than -3

Answers

Answer:

yes

Step-by-step explanation:

–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.

If f(x)=3x^2-4x+9, find the f(2)​

Answers

Answer:

13

Step-by-step explanation:

3(2)(2) -4(2)+9

12 -8 +9= 13

13


Well you will plug in 2 into x and it’ll give you 3(2)^2-4(2)+9 and when you work that out you get 3(4)-8+9 and then work that out and you’ll get 12-8+9 and then a final answer of 13

-6x+6y= -24
-6x+9y= −45

Answers

Answer:

1. X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.)

X- Intercepts(s) : (4,0) Y- Intercepts(s) : (0, -4)2. . X- Intercepts(s) : (15/2, 0 in fraction form.) Y- Intercepts(s) :( 0, -5)

Step-by-step explanation:

To Find the X- Intercept Subsitute in 0 For Y solve for x. To find the y-intercept Substitute in 0 for x and solve for y.

What is the area of the shaded region

36
9
52
27

Answers

Answer:

36

Step-by-step explanation:

Length x width = area (6 x 6 = 36). Hope this helps.

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Given:

PQRS is a rectangle.

X is the midpoint of SR.

To find:

The measure of QX.

Solution:

It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.

Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.

The diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:

[tex]d=4\sqrt{2}[/tex]

[tex]d=5.656854[/tex]

[tex]d\approx 5.7[/tex]

Therefore, the measure of segment QX is about 5.7 units.

Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.

Answers

Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.

Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.) ​

Answers

x = -7, have a good day !

Answer:

x=−7

Solving for X:

Step 1: Simplify both sides of your equation.

5x−22=7x−8

Step 2: Subtract 7x from both sides.

5x−22−7x=7x−8−7x

−2x−22=−8

Step 3: Add 22 to both sides.

−2x−22+22=−8+22

−2x=14

Step 4: Divide both sides by -2.

-2x/-2 = 14/-2

^ x = -7

THEREFORE:

x is −7

In the figure name ALL the angles that are congruent to angle 8.

Answers

The angels that are congruent to 8 are 6, 3, 1.

The Vatican has to be guarded 24 hours a day. Fifteen Swiss Guards are ordered to split each day's guard duty equally. How long will each Swiss Guard spend on guard duty in one day? Record your answer in hours and minutes.

Answers

Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

Step-by-step explanation:

Given: The Vatican has to be guarded 24 hours a day.

Total Swiss Guards  = 15

If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15

= [tex]\dfrac{24}{15}[/tex] hours

[tex]=\dfrac85[/tex] hours

[tex]=1\dfrac35[/tex] hours

= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]

= [tex]\text{ 1 hour }36\text{ minutes}[/tex]

Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.

1.55y-(5y-17)/100=0.02

Answers

Multiply both sides by 100
1.55y -(5y-17)/100 * (100) = (0.02)*(100)
1.55y -(5y-17) = 2

Simply both sides of the equation
-3.45y + 17 = 2

Subtract 17 from both sides
-3.45y + 17-17 = 2-17
-3.45y = -15

Divide both sides by -3.45.
-3.45y = -15
-3.45 -3.45

y = 4.347826

Examine the system of equations.
-5x + 5y = 40
4x +
Зу = 24
What is the solution?

Answers

Answer:

y = 26.2857143 or 184/7 or 26 2/7

x = -13.7142857 or -96/7 or -13 5/7

Step-by-step explanation:

-5x + 5y = 40

-x + y = 40

x = -40 + y

substitute x for -40 + y

4(-40 + y ) + 3y = 24

-160 + 4y + 3y = 24

7y = 184

y  = 26.2857143 (?)

x = -40 + 26.2857143

x = -13.7142857

2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.​

Answers

Answer:

Constant of variation: $8.25

Equation: y=8.25x

Step-by-step explanation:

231/28=8.25

Answer:8.25

Step-by-step explanation:

231/28

Round 0.589 to the nearest hundredth
A. 0.59
B. 0.6
C. 0.58
D. 1

Answers

The answer is a: 0.59.
The answer would be A. 0.59.

Tenths: .5
Hundredths: . 8
Thousandths: . 9

9 is more than 5 so you round up.

And the next number is 9.

Therefore, it would be 0.59.

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

the height is 9.8 cm

Step-by-step explanation:

71.54 ÷ 7.3 = 9.8

In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile​

Answers

1/4 mile because if martin is able to walk 1/8 mile in half an hour then what you do is add 1/8+ 1/8 which gets 1/4 mph

hii please help i’ll give brainliest

Answers

Answer:

third one

Step-by-step explanation:

pls try it yourself lololol

Evaluate the numerical expression.



(5 + 3) x 2 - 6


please help!

Answers

Answer:

10

Step-by-step explanation:

Please use " * " or " · " to indicate multiplication; " x " is a variable, not an operator.

(5 + 3) x 2 - 6 => (5 + 3)·2 - 6

Order of operations rules require that we do first any work inside parentheses.  So we have:

(5 + 3)·2 - 6 => (8)·2 - 6

Those same rules dictate that we must multiply before subtracting.  So now we obtain:

16 - 6 = 10

HELPPP ITS A TESTAKAJNSDUJSWMNS

Answers

Answer:

5^6

Step-by-step explanation:

by the law of exponents,

5^2 * 5^(-8)

5^ [2+ (-8)]

5^(2-8) = 5^-6 = 1/5^6 = 5^6

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