On a busy day, a shop sells a total of 15 desks and chairs for a total amount of $960.The desks sell for $120 each and the chairs sell for $50 each.
(a) Express the information as two equations. Let d equal the number of desks and let c equal the number of chairs.
(b) Solve the equations simultaneously to find how many of each were sold.

Answer:

The first one

The second one

The third one

The fifth one

Step-by-step explanation:

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/3386568.

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Answer:

Is there a picture?

Step-by-step explanation:

Answer: where is the picture

Step-by-step explanation:

but the 4th Quadrant is all the way to the right bottom

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Answer:

Not entirely sure about what the question is asking, but explanation of what I think it is asking.

Step-by-step explanation:

There are three basic rules of addition.

Positive + Positive = Positive Ex: 1+1=2

Negative + Negative = Negative Ex: -2+-2=-4

Negative + Positive = Positive or Negative depending on the value.

Ex= 1+(-2)=(-1)

Ex=2+(-1)=1

So subtraction problems can be turned into addition problems.

For example:

4-2 is the same as 4+(-2).

Or -5-7 is the same as -5+(-7).

Hope this makes sense.

Answer:

The inequality that represents how much George can spend is y ≤ $45 + $12, which gives y ≤ $57

Step-by-step explanation:

The given parameters are;

The amount George has to spend for his sisters = $45

The amount of coupon George has = $12

The inequality that represents how much George can spend, y, is given as follows

y ≤ $45 + $12.

Answer:

-4/3

have a nice day/night

Answer:

x = -25/3

Step-by-step explanation:

x divided by -5/2 is equal to x multiplied by -2/5

therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]

cross-multiply: -6x = 50

x = -50/6 or -25/3

Answer:

8

Step-by-step explanation:

The expression you need to use would be

3x+12=36.

Subtract 12 from both sides

3x=24

Divide by 3

X=8

Answer:

42?

Step-by-step explanation:

Just because 52-10 is 42..but thats to simple

Answer:

5.20000

Step-by-step explanation:

           25

Simplify   ——

           5

Answer:

Answer:

the second choice took the test

Answer:

A:y=3x-10

Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10

Answer:

52 mph

Step-by-step explanation:

If 88 ft/sec = 60 mph

The 22 ft/ sec is 60/4 = 15 mph

This is so because 88/22 is 4

So we simply proceed to add this to the previous speed in mph

That gives a total of 15 + 37 = 52 mph

Answer:

4.572 meters

Step-by-step explanation:

hope it helps, mark brainliest please

Answer:

4.572 meters; 4.6 rounded.

Step-by-step explanation:

Multiply the foot value by 0.3048 or divide by 3.280839895

15x0.3048

=4.572

Answer:

x=2

length y = 4

angle Z = 45

Step-by-step explanation:

x^2 = 2x^2 - 4

put like terms on same sides, lets subtract x^2 to both sides

0 = x^2 - 4

add 4 to both sides

4 = x^2

square root of 4 = 2

x=2

since it is a square, we know all sides are the same length (proof also shown) so y is equal to the other side x^2

y = x^2

y = 4

Angle Z is 45 degrees, because a square has all right angles that are 90 degrees, but a diagonal evenly splits angle into two 45 degree parts.

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Answer:

$

1

,

920

Explanation:

Find  

15

%

×

12800

15

100

×

12800

1

=

$

1

,

920

Step-by-step explanation:

Answer:it would be 1:2

Answer:

1 : 2

Step-by-step explanation:

2 : 4

A ratio is another way of expressing a fraction. Hence, if one divides both sides by the same number, it will be the equivalent of one reducing a fraction, and it will still be equivalent to the original value. Hence, to reduce this ratio; divide both sides by 2

1 : 2

Answer:

5/6 of $1,200 is $1,000

The answer is $1000

ps: dont add the ($) only numerical answer

Step-by-step explanation:

We need to find the height of the triangle first.

Height=>sin(60°)=h/3 but sin(60°)=√3/2

h=3×√3/2=3√3/2

Area=½×base×height

A=½×3×3√3/2

A=9√3/4

Answer is option A

Answer:

C

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

Tax: $137.75

Total: $1587.75

I hope this helps, and Happy Holidays! :)

Step-by-step explanation:

I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry

Answer:

A) Points earned = 15 - 6

B) Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10

Step-by-step explanation:

To advance to the next level in her game, Sandy must score at least 10 points.

She scores 15 points for correct matches

She scores -6 points for incorrect matches.

A. The amount of points earned by Sandy in the game is the sum of both scores:

points earned = 15 - 6

points earned = 9

B. Unfortunately, Sandy didn't make it to the next level since her score was 9 and she needed a minimum of 10

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

Answer:

1) 3^2 or 9

2)5^18

Step-by-step explanation:

Ok but you have to hit that crown :D

Simplify: 3^8x3^4 = 3^12

3^2x3^8=3^10

3^12/3^10 = 3^2 or 9

5^3^6=5^18

Hope this helps :D

Answer:

A. {2, 4, 6, 8}

Step-by-step explanation:

"U" is the set of whole numbers form 1 to 8

"P" is the set of odds within that, so that leaves P' as the evens.