Set up a system of equations for the given word problem:

Tyrone placed two orders with a nursery. The first order was for 10 bushes and 6 trees, which totaled $568. The second order was for 9 bushes and 3 trees, which totaled $348.

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Set up a system of equations for the given word problem:

The admission fee at a small fair is $3.50 for children and $6.00 for adults. On a certain day, 1500 people enter the fair and $7,580 is collected.

Answers

Answer 1

Answer:

For the first problem:

10b + 6t = 568

9b + 3t = 348

For the second problem:

c + a = 1500

3.50c + 6a = 7580


Related Questions

A weather researcher compared average monthly temperature data for
Athens, Greece, and Madrid,Spain answer quickly please I need this answer now

Answers

Considering the mean and range concepts, it is found that the correct option is:

C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.

What are the mean and the range of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The range is given by the subtraction of the highest value by the lowest.

In this problem, Athens has a higher mean, while Madrid has a higher range, hence the correct option is:

C. On average, Athens have a higher temperature. However, temperatures in Madrid vary more.

More can be learned about the mean and range concepts at https://brainly.com/question/15796321


A cube is also a right rectangular prism. What is the surface area of this cube?
6 units
6 units
6 units

Answers

Answer:

I think it is 216 sorry if it is wrong

Step-by-step explanation:

4+3÷3(67)-5×8
What is the answer

Answers

The answer is: -35.98507463

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box. Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.

Answers

Answer:

No, he is not correct.

Step-by-step explanation:

Check the attachment.

Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000?

Answers

Answer:

54861/1000 convert to a decimal = 54.861

4 1/2 - 1 8/10 please

Answers

Answer:

Down below!!

Step-by-step explanation:

Exact Form:

27/10

Decimal Form:

2.7

Mixed Number Form:

2 7/10

Answer:

4 1/2 - 1 8/10 =  2 7/10

Step-by-step explanation:

Step 1 : Start by making the mixed fraction into improper fractions

4 1/2 = 9/2

(For the fraction 1 8/10,  make sure to simplify 8/10!)

9/2 - 1 4/5 = 9/2 - 9/5

Step 2: Next find a common denominator for both the improper fractions.

9/2 x 5/5 = 45/10

9/5 x 2/2 = 18/10

45/10 - 18/10 = 27/10

Step 3: Now, make the improper fraction into a mixed number

27/10 = 2 7/10

So this shows us that 4 1/2 - 1 8/10 =  2 7/10! Hope this helps! :D

Use the calculator for these calculations. Round
your answer to the nearest thousandth, if
necessary:
18*(27 + 36/3)
(21+13/74-18*3)*10=
√3/2=
√281^2-160^2=
2^10-2^9=
√8*√9-7=

Answers

Answer:

the answer is 3.36000 approximated to the nearest thousandth

Answer:

18 x (27 + 36/3) = 378

(21 + 13/74 - 18 x3 ) x 10 = 17

sqrt. 281^2 - 160^2 = 231

2^10 - 2^9 = 512

sqrt. 8 x sqrt. 9 - 7 = 4

Step-by-step explanation:

sorry for being late to answer. these are correct on edge.

What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?

Answers

Answer:

The answer is 24 cm.

Step-by-step explanation:

Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 = c

10 = c.

Hope this helps!

Sheila is biking at a constant speed. She travels 54 meters in 9 seconds.
How long in seconds would it take Sheila to travel 90 meters at this speed?
Enter the number in the box.

Answers

It would take her 15 seconds to reach 90 meters

INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet

Answers

Answer:

101.8 lb

Step-by-step explanation:

1760 sq ft are covered by 40 lb

4480 sq ft are covered by x

1760/40 = 4480/x

1760x = 40 × 4480

x = 179,200/1760

x = 101.818181...

Answer: 101.8 lb

Select the correct answer.
A rubber gasket has a circumference of 3.2 cm. When placed in service, it expands by a scale factor of 2. What is the circumference of the gasket when in service?

A.
1.6 cm
B.
3.2 cm
C.
6.4 cm
D.
13.2 cm

Answers

I’m not entirely sure but I think the answer is 6.4 cm.
3.2x2=6.4 cm

The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.

A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.

what is circumference?

The circumference is defined as the boundary length of any circular shape.

Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm

Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.

Learn more about circumference here:
https://brainly.com/question/9319321

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The graphs below have the same shape. What is the equation of the blue graph? G(x) =

Answers

The answer is d
Because the graph moved to the left by 3
And moved down 2

If you need more explanation I can help

Hope this helps

Which of the following would be the most appropriate unit to weigh a single medical pill

A: ton

B: kilogram

C: ounce

D: cup

Answers

B: kilogram

This is because

Tons are massive and used to weigh very heavy objects, often in manufacturing and vehicular measurements

Ounces are a member of the imperial system of measurement, which is the least popular used in medicine worldwide

Cups are a measurement of volume, not mass.

The most appropriate unit to weigh a single medical pill is the kilogram.

What is the definition of the unit?

In Physics, the term unit directs to the quantity of a constant magnitude, utilized to estimate the magnitudes of other quantities of an identical class.

Tons stand massive and are utilized to weigh very heavy objects, usually in manufacturing and vehicular measures.

Ounces exist as a member of the imperial system of measurement, which stands as the least popular utilized in medicine worldwide.

Cups exist as a measurement of volume, not mass.

Therefore, the correct answer is option B: kilogram.

To learn more about a kilogram

https://brainly.com/question/21091217

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A substance requires 310 J of heat to raise the temperature from 19
°C to 42 °C.. If the mass of the substance is 20 g, what is the specific
heat of the substance?

Answers

Answer:

.674  j / (g-C)

Step-by-step explanation:

Spec heat = heat required to raise 1 gram of substance 1 degree celsius

       Spec heat units : j / (gm-C)

soooo     310 j / (20g * (42-19)C  = .674

On Saturday, Mark sold 2 7/8 gallons of lemonade.On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?

Answers

The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.

What are fractions?

Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.

How much lemonade did Regan sell?

2 7/8 x 2/3

23/8 x 2/3 = 23/12 = 1 11/12 gallons

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)

Answers

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)60 + 15 x 9 + 90 + 6 x 560 + 135 + 90 + 30180 + 135315 m²

what is this
please help​

Answers

Answer:

The answers are the 2nd box, 4th box, and 5th box.

Simplify: [(13 + 8) ÷ 3] − 4 =

Answers

Answer:

3

Step-by-step explanation:

First you do 13 + 8

13 + 8 = 21

Then you divide by 3

21 divided by 3 is 7

Finally you subtract 4

7 - 4 = 3

Hope this helps!!

Answer:

3

________________________________________________________

Solve

When doing problems, remember PEMDAS, the order of operations:

parenthesesexponentsmultiplicationdivisionadditionsubtraction

Go by the list from top to bottom, and prioritize the higher-up orders first.

Start with 13 + 8

[tex]13 + 8 = 21[/tex]

Next, divide by 3

[tex]21 / 3 = 7[/tex]

Lastly, subtract by 4

[tex]7 - 4 = 3[/tex]

________________________________________________________

Questions?

Ask me in the comments box, please.

A cylinder has volume 45 pie and radius 3. What is its height?

Answers

Answer:

5 units

Step-by-step explanation:

The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

Analyze the diagram below and answer the question that follows.

What is the value of cosA in the triangle above?

A. cosA = 0.5
B. cosA = 1
C. cosA ≈ 0.707
D. cannot be determined without side lengths

Answers

Answer:

C

Step-by-step explanation:

the cos of an angle of 45° is equal to √2/2~=0,7071

Do you want the full explanation?

Find the third side, round the nearest 10th

Answers

Answer:

11.9

Step-by-step explanation:

Pythagorean theorem:

[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)

[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]

Answer:

11.9

Step-by-step explanation:

This is a right triangle so I can solve this with the pythagorean theorem.

Set up the equation 22²+x²=25² x would be the third side

Simplify, 484+x²=625

Subtract from both sides 484-484+x²=625-484

x²=141

Find the square root of 141 to get x

The square root of 141 is approximately 11.9 rounded to the nearest tenth.

A group of 30 people are going to run a race. The top three runners earn gold silver, and bronze medals .

Answers

You would be correct. There is a 1/10 chance of getting to the top 3. I don’t know the question exactly, but I hope this helps anyway.

Subtract.
13 5/8- 3 2/3
HELPPPP IM LITERALLY GONNA FAIL

Answers

first let’s just subtract the whole numbers. 13 5/8 -3= 10 5/8

next let’s find the LCM, or least common multiple of the denominators for the fractions. 10 5/8 = 10 15/24
2/3= 16/24

now last, subtract these new fractions.
10 15/24 - 16/24 = 9 23/24

13/1 × 5/8 - 3/1 × 2/3

= 13×5 / 1×8 - 3×2 / 1×3

= 65/8 - 6/3

= 195/24 - 48/24

=147/24

=49/8

Two person Pratham and Roshan are 64 km apart. If they walk in opposite direction then they will meet in 4 hours and in the same direction they will meet in 16 hours. Find their separate velocity. ​

Answers

Using the relation between velocity, distance and time, it is found that:

Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:

[tex]v_1 + v_2 = \frac{64}{4}[/tex]

[tex]v_1 + v_2 = 16[/tex]

[tex]v_1 = 16 - v_2[/tex]

In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:

[tex]v_1 - v_2 = \frac{64}{16}[/tex]

[tex]v_1 - v_2 = 4[/tex]

Since [tex]v_1 = 16 - v_2[/tex]:

[tex]16 - v_2 - v_2 = 4[/tex]

2v2 = 12.

v2 = 6.

v1 = 16 - 6 = 10 km/h.

Hence:

Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

What is the arc measure of major arc CAD in degrees

Answers

Answer:

296°

Step-by-step explanation:

Evaluate −30 ÷ −6. ghvfhv

Answers

Answer:

5

Step-by-step explanation:

used a cal

Answer:

5

Step-by-step explanation:

-30 / -6 = 5

-6 * x = -30

(drop the negatives)

30 / 6 = 5

-6 * 5 = -30

Cindy invested $2,800. The function V(t) = 2,800(1.025)t models the value of Cindy’s investment after y months. The function S(t) = 10t models the amount of money that Cindy has saved in a safe at her house after t months. Which function C(t) models the combined value of the investment and money in the safe?
A. C(t) =2,800(1.025)t + 10t
B. C(t) = 2,800(1.025)11t
C. C(t) =(2,800 + 10t)(1.025)t
D. C(t) =2,810(1.025)t

Answers

Answer:

Option A

Step-by-step explanation:

The amounts invested and saved are independent and their total is the combined amount.

[tex]C(t) = V(t) + S(t)[/tex][tex]C(t) = 2,800(1.025)^t + 10t[/tex]

Correct choice is A

Lets see

V(t)=2800(1.025)^tS(t)=10t

Add both

C(t)=S(t)+V(t)C(t)=2800(1.025)^t+10t

Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.

Answers

The formula to find the Length of the arc = (2r) (θ / 360°)
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.

Hope this helps

Data collected from a survey of American teenagers aged 13 to 17
was used to estimate that 29% of teens believe in ghosts. This
estimate was based on data from 510 American teenagers. What is
the population that people carrying out the survey were interested
in?
O All people in the United States.
The 510 teens that were surveyed.
O All American teens who are between the ages of 13 and 17.
o The 29% of the teens surveyed who said they believe in ghosts.

Answers

Using sampling concepts, it is found that the population of interest is given by:

All American teens who are between the ages of 13 and 17.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this problem, a sample of American teenagers aged 13 to 17 was taken, hence all American teenagers aged 13 to 17 is the population of interest.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Please Help! I'll give a brainliest!

Tania is a car salesperson at Yorkshire Motors and earns straight commission on sales. She earns 15%commission on sales of vehicles, service contracts, and accessories. During her first year, Tania's sales totaled $454,000.00. How much money did Tania earn in her first year at the dealership?


Tania earned $_____ in commission the first year.

Answers

Answer:

$68100

Step-by-step explanation:

Commission = 15% of sales amount

The amount Tania earned is:

$454000*15/100 = $68100
Earnings=454000

Commission is 15% of earnings

Commission:-.

15% of 4540000.15(454000)68100$
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