The time to assemble a television at a factory is 2.5 hours. A stereo only requires 1.5 hours. The factory workers can supply at least 580 and at most 750 hours of assembly time each week. The factory is producing 3 times as many televisions as stereos. What is the inequality?
A) 580=<4x=<750
B) 580<4<750
C)580=<9=<750
D)580<4<750

Answer = one hundred fifty five degrees (155°)

Answer:

4x - 9x + 11 = -24

-5x + 11 = - 24

-5x = -24 - 11

-5x = -35

-5x/-5 = -35/-5

x = 7

Answer:

The answer is 7

Step-by-step explanation:

Firstly, you have to subtract 11 from -24, which is -35. Then, add the values with x. Which is -5. -35 divided by -5 equals 7. You can check the answer by doing (4*7)-(9*7)+11=-24

x=10

Step-by-step explanation:

Answer:

I believe 90π

Step-by-step explanation:

V=πr2h=π·32·10≈282.74334

90π ≈ 282.6

Answer:

−5x3−9x2

Step-by-step explanation:

Answer:

[tex]-5x^3-9x^2[/tex]

Step-by-step explanation:

Assuming that the problem is asking you to simplify the given expression and that I read the 'x3's and 'x2's correctly as [tex]x^3[/tex] and [tex]x^2[/tex], this would be your answer.

46 coins

D=30

p=10

Q=6

30+10+6=46

The total amount of coins is 46 coins

Let x represent the number of quarters, y represent the number of dimes and z represent the number of pennies.

Each quarter is worth $0.25, each dime is worth $0.1 and each penny is worth $0.01

Since Victor has three times fewer pennies than dimes, hence:

y = 3z      

y - 3z = 0        (1)

Victor also has 4 fewer quarters than pennies, hence:

x = z - 4

x - z = -4          (2)

The total worth of the coin is $4.60, therefore:

0.25x + 0.1y + 0.01z = 4.60       (3)

Solving equations 1, 2 and 3 simultaneously gives:

x = 6, y = 30, z = 10

Total coins = 6 + 30 + 10 = 46

Therefore there are 6 quarters, 30 dimes and 10 pennies

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Answer: 83.25

Step-by-step explanation:

ahhhhhhhhhhhhhh

Answer: C) [tex]B= 500(1.101)^{12t}[/tex]

Step-by-step explanation:

Given : The equation for this investment is B = 500(1.13)t, where B represents the balance and t is the number of years.

For monthly interest , Rate = [tex]\dfrac{r}{12}[/tex]

Time = 12 t  [ 1 year = 12 months ]

As r = 0.13 , so rate = [tex]\dfrac{0.13}{12}\approx0.010[/tex]

Now, the equation will be :

[tex]B=500 (1+0.101)^{12t}[/tex]

[tex]\Rightarrow\ B= 500(1.101)^{12t}[/tex]

Correct option : C) [tex]B= 500(1.101)^{12t}[/tex]

Answer:

[tex]\huge\boxed{\sf r = 9.42\ m}[/tex]

Step-by-step explanation:

Given Data:

Circumference = C = 18.84 m

Required:

Radius = r = ?

Formula:

r = C / 2

Solution:

r = 18.84 / 2

[tex]\rule[225]{225}{2}[/tex]

Answer:

9.42

Step-by-step explanation:

Half of the circumference is the radius to you do 18.84 divided by 2

to get your answer.

Answer: D) 45 ft.

Step-by-step explanation:

You have the measurements for the sides BC and CD, if you divide BC by CD you get the dialation. Which is 2.5. Multiply 18 by 2.5, Congrgulations you have the answer!

Answer:

The volume is [tex]275\pi\text{ yd}^3[/tex] or [tex]863.5\text{ yd}^3[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2 h[/tex], where r is the radius and h is the height. From the information provided, we have:

[tex]r=5 \text{ yd}\\h=11\text{ yrd}[/tex]

Using our equation, we get:

[tex]V=\pi (5)^2(11)\text{ yd}^3\\V=275\pi\text{ yd}^3\\V\approx 863.5\text{ yd}^3[/tex]

Answer:

bearing of Y from X is 074°

Step-by-step explanation:

the bearing of Y from X is the clockwise measure of the angle from the northline N to Y , that is

180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

The value of the bearing of Y from X will be 74°.

What is Supplementary angle?

The sum of two or more angle is 180 degree then the angle is called the  Supplementary angle.

Given that;

The value of measure of ∠X = 106°

Now,

Since, The value of the bearing of Y from X will be calculated as;

∠X + ∠Y = 180°

106° + ∠Y = 180°

∠Y = 180° - 106°

∠Y = 74°

Thus, The value of the bearing of Y from X will be 74°.

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Answer:

25

Step-by-step explanation:

Step 1: 350:14

Step 2: 175:7

Step 3: 7/7= 1

Step 4: 175/7=25

350:14=25:1

The car will run 25 miles for each gallon of gas

Answer:

1 gallon = 25 miles

Step-by-step explanation:

350 mi 14 gallons =

350   =  x      Underline = fraction bar btw

14          1

use cross mulitplication

350 = 14x

25 = x

So one gallon goes 25 miles

Hope this helps!

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The September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.

The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle.

When the payment occurred on 7th and purchase on 20th:

Balance in between September 1st and September 7th = $449.22

Balance in between September 7th and September 20th =449.22-85.33=$363.89

Balance in between September 20th and September 30th = 363.89+60.99

=$424.88

So, the balance on which interest will be applied according to the daily balance method = (449.22 * 6+363.89 *  13+424.89 *11)/30 = $403.322

Interest on this balance = 403.22 * (13.73/12) * (1/100) = $4.615

Similarly, when the payment occurred on the 20th while purchasing on the 7th:

The balance on which interest will be applied according to the daily balance method = (449.22 * 6 + 510.21 * 13 + 424.88*6)/30 = $395.911

Interest on this balance = $395.911 *(13.73/12) * (1/100) = $4.199

Difference between interests = $0.41

Therefore, the September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.

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Answer:

0.55

Step-by-step explanation:

Answer:

Itz $ 0.55 because 10 × $0.055

Answer:

B. [tex]4\sqrt{2}[/tex]

Step-by-step explanation:

EG is equal to 4

ED and DG, however, are equal to [tex]x\sqrt{2}[/tex]

So, we can do [tex]x\sqrt{2} = 4[/tex]

This comes out to [tex]x=2\sqrt{2}[/tex]

So, [tex]x^{2}[/tex] is the area of the square.

[tex]2\sqrt{2} ^{2}[/tex] is equal to [tex]4\sqrt{2}[/tex]

Step-by-step explanation:

Each person's donation ratio is:

Donation 1 is 4/15 of 75

Donation 2 is 4/15 of 75

Donation 3 is 7/15 of 75

4/15(75) = 5 * 4 = 20

7/15(75) = 5 * 7 = 35

Each person's donation amount is:

$20

$20

$35

Check out work:

20 + 20 + 35 = 75!

Answer:

A = bh

Plug in what we know:

18 1/3 = 3 1/3b

Divide 3 1/3 to both sides:

(18 1/3) / (3 1/3) = b

Convert both of them into improper fractions:

55/3 / 10/3 = b

Flip the 2nd fraction and multiply:

55/3 * 3/10 = b

Multiply the numerators and denominators together:

165/30 = b

Convert to a mixed number:

b = 5 1/2

Step-by-step explanation:

Answer:

47 2/3 ÷ 7 1/3

make them improper fractions;

143/3 ÷ 22/3

Make 22/3 a reciprocal(flip the fraction upside down);

143/3 ÷ 3/22

now multiply across;

143/3 x 3/22 = 6 5/10 which simplifies to 6 1/2 feet.

I might get this wrong but 60 minus 45 equals 1515

Step-by-step explanation:

The family pack would be  £15 cheaper from the normal package.

In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.

Given that, A theme park sells entrance tickets. 2 adult tickets and 3 child tickets would cost a total of £72. 3 adult tickets and 1 child ticket would cost a total of £66. A family ticket costs £45 and allows entry for 2 adults and 2 children.

Let A represents adults and C represents children,

Establishing system of equation,

2A+3C = 72

3A+C = 66

On solving the equation, we get,

A = 18 and C = 12

For 2 adults, cost = 18x2 =  £36

For 2 children, cost = 12x2 =  £24

Total cost = 36+24 =  £60

In family pack, £45 allows entry for 2 adults and 2 children.

45 is 15 less 60

Hence, The family pack would be  £15 cheaper from the normal package.

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Answer: is C i just summmited the test

Answer:

B

Step-by-step explanation:

Qwik Mafs

Answer:

11

Step-by-step explanation:

30-2(7+2)-1

30-2(9)-1

30-18-1

12-1

11

Answer: Thy answer to ye question is 11

Step-by-step explanation:

Answer:

40 cows=16 days

= 10 days

Step-by-step explanation:

a field is grazed in 16 days by 40 cows so for the same field to be grazed in 10 days more cows are needed

so more/ less

16/10×40

64 cows it should be.

Step-by-step explanation:

Assuming you want to solve for b,

tan(55)=15/b

b(tan 55)=15

b = (tan 55)/15

Answer:

Monthly salary: $5,617; Weekly salary: $1,296

Step-by-step explanation:

Since there are 12 months in a year, you would divide the number of months by the salary.

67400/12x≈5617

The monthly salary is about $5,617.

Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.

67400/52x≈1296

The weekly salary is about $1,296.

Answer:

666.66 years

Step-by-step explanation:

In this scenario, we need to find at what year both of the stalagmite crystals are at the exact elevation in the cave. So we need an algebraic formula to calculate this. Since the crystal in the ceiling is at a height of 10 feet (height of the cave) and is growing down we need to subtract its growth from its starting position of 10ft. The second crystal is starting at an elevation of 0 and growing upward so we simply need to chart its growth and equal both equations together to find its meet-up point. In this algebraic equation, x will equal the number of years that we need to find.

[tex]10 - 0.01x = 0.005x[/tex] ... add 0.01x to both sides.

[tex]10 = 0.015x[/tex]  ... divide both sides by 0.015

[tex]666.66 = x[/tex]

Finally, we can see that both crystals will meet-up after 666.66 years. If we plug this value into the equation we see that the crystals will meet-up at a point 3.33 ft above the cave floor.

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after 10 years he will get : 800 x 1,035¹⁰