The graph shows how many apples Erin can pick if she maintains a constant rate. What is the linear equation for this relationship? How many apples can she pick per hour?

Answer:

We should invest 9600 .

Step-by-step explanation:

Interest received in Two and a half year = 1,200

So, Interest that should be received in a year = 1200×[tex]\frac{2}{5}[/tex]

                                                                            = 480

Interest rate = 5%.

Let we had invested  amount X.

Thus 5 % of X we will get in a year as interest

Which is [tex]\frac{5}{100}[/tex]×X = [tex]\frac{X}{20}[/tex].

It is also equal to 480 as calculated above,

So. X = 480×20 = 9600.

Thus,

We should invest 9600 .

Answer:

4.8sq. yards

Step-by-step explanation:

Final answer:

An absolute value inequality that includes 3 and -6 as solutions is |x + 1.5| ≤ 4.5. Both numbers satisfy the inequality when substituted for x.

Explanation:

To write an absolute value inequality that has 3 and -6 as two of its solutions, we must find an inequality such that both of these numbers satisfy the condition when their absolute values are considered. One such inequality is |x + 1.5| ≤ 4.5.

Let's verify the solutions:

For x = 3: |3 + 1.5| = |4.5| = 4.5, which is less than or equal to 4.5.

For x = -6: |-6 + 1.5| = |-4.5| = 4.5, which is also less than or equal to 4.5.

Therefore, the inequality |x + 1.5| ≤ 4.5 is a valid inequality that includes 3 and -6 as solutions.

For this case we have the following inequality:

[tex]-5y \leq-15[/tex]

To solve, we follow the steps below:

We divide between 5 on both sides of the inequality:

[tex]-y \leq \frac {-15} {5}\\-y \leq-3[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes:

[tex]y \geq3[/tex]

Thus, the solution is given by all values of "y" greater than or equal to 3.

Answer:

[tex]y \geq3[/tex]

See attached image

The vertical axis represents the "y" axis

Answer:

∠NQP = 74°

Step-by-step explanation:

NPQ is a triangle.

We know the sum of 3 angles of a triangle is 180 degrees. So we can write:

N + P + Q = 180

2x + 34 + 2x + 2 = 180

Now, we can solve for x:

[tex]2x + 34 + 2x + 2 = 180\\4x+36=180\\4x=180-36\\4x=144\\x=\frac{144}{4}\\x=36[/tex]

The measure of NQP is "2x+2", we plug in x = 36, and find the measure of NQP:

∠NQP = 2(36) + 2 = 74°

Answer:

The coach raised $1250 last year

Step-by-step explanation:

Let the amount raised last year be $x

Amount raised this year = $1200

Amount raised this year was less by the 4% of x amount last year:

1200 = x - 4% of x

1200 = x - x (x) 4/100 = 96x/100

x = $1250

The coach raised $1250 last year for the equipment.

Answer: -8.8n + 7.8

Step-by-step explanation:

2.8 - 5.8n - 3n + 5

Add -5.8n and -3n to get -8.8n

Add 2.8 and 5 together to get 7.8

Answer:

Step-by-step explanation:

7.8-8.8n

Answer:

Δ MNO ≅ Δ PQR by ASA postulate

Step-by-step explanation:

Δ MNO and Δ PQR are congruents because:

1. Their included sides MN and PR are equal (22 units = 22 units)

2. Their angles ∠M and ∠P are equal  (100° = 100°)

3. Their angles ∠N and ∠Q are equal  (35° = 35°)

Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.

Final answer:

To find out how many more sweets Gavin gets over Stephan, we use the ratio 1:4:4, knowing that Stephan gets 13 sweets. Gavin, who has 4 times Stephan's amount, ends up with 52 sweets, which is 39 sweets more than Stephan.

Explanation:

To determine how many more sweets Gavin gets compared to Stephan, we need to use ratios. Since Stephan, Gavin, and Jim share sweets in the ratio 1:4:4, and Stephan gets 13 sweets, we can assign variables to the parts of the ratio to make this easier to solve. Let's assign 'x' to the value of one part, so Stephan gets 1x=13 sweets.

Since 1x is equal to 13, that means 4x is the amount Gavin gets. Now we calculate 4x, which is 4 [tex]\times[/tex] 13=52 sweets. To find out how many more sweets Gavin gets we subtract Stephan's 13 sweets from Gavin's 52 sweets to get the difference.

So, Gavin gets 52-13=39 sweets more than Stephan.

Answer:

.06 rounded to nearest hundreth

Step-by-step explanation:

Answer:

17 I think

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

you multiply 20 and 400

Answer: He could read at most 8000 pages this year.

The only linear equation that matches the graph is: Option E: y = 2/3 x

What is the equation of the line?

The general form for the equation of a Line in slope intercept form is:

y = mx + c

Where:

m is slope

c is y-intercept

We can find the slope between two coordinates using the formula:

m = [tex]\frac{(y_{2} - y_{1}) }{(x_{2} - x_{1})}[/tex]

Using the given coordinates (-3, -2) and (3, 2), we have:

m = (2 - (-2))/(3 - (-3))

m = 4/6 = 2/3

The only equation with slope of 2/3 is Option E

Answer:

D

Step-by-step explanation:

The measure of x is calculated as

x = 0.5( arc CD - arc BD)

  = 0.5(210 - 72) = 0.5 × 138 = 69 → D

Answer:

10y3 - 5y2 - 10x + 4

 ————————————————————

        2y - 1      

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

Step  2  :

Equation at the end of step  2  :

Step  3  :

           10y3 - 5y2 - 10x + 4

Simplify   ————————————————————

                  2y - 1      

Checking for a perfect cube :

3.1    10y3 - 5y2 - 10x + 4  is not a perfect cube

Final result :

 10y3 - 5y2 - 10x + 4

 ————————————————————

        2y - 1      

Answer:

The answer is 10y³-5y²-10x+4 over 2y-1

Step-by-step explanation:

i am pretty sure this the answer because there are no like terms so you can't simplify so you solve it by writing the division as a fraction. but the again im positive this is right but i may be wrong. hope this is right!

Each side of garden measures 13.2 feet.

Step-by-step explanation:

Given,

Area of Kaitlyn's garden = 175 square feet

As the garden is in square shape, each side will have equal length.

Let,

a be the length of each side.

Area of square garden = A = a²

[tex]a^2=175[/tex]

Taking square roots on both sides

[tex]\sqrt{a^2}= \sqrt{175} \\a=13.22 \ feet[/tex]

Rounding off to nearest tenth,

Length of each side = 13.2 feet

Each side of garden measures 13.2 feet.

Keywords: area, square root

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The nearest ten million is 4,480,000,000.

For this case we must solve the following equation:

[tex]\frac {x + 4} {3} = 2[/tex]

We follow the steps below:

Multiplying by 3 on both sides of the equation we have:

[tex]x + 4 = 3 * 2\\x + 4 = 6[/tex]

Subtracting 4 from both sides of the equation:

[tex]x = 6-4\\x = 2[/tex]

Thus, the solution of the equation is[tex]x = 2[/tex]

Answer:

[tex]x = 2[/tex]

Answer:

x< (-6)

Step-by-step explanation:

If you have any questions about the way I solved it,don't hesitate to ask

Answer:

13/15

Step-by-step explanation:

Hope it is correct

Answer:

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

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

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

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

10x+25y=97.5

-10x-4y=-45

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

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.

The required price of the burrito is $3.50 and the price of the taco is $2.50.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's represent the price of a burrito b and the price of a taco t.

If two students have burritos, then the cost of the burritos is 2b.

If five students have tacos, then the cost of the tacos is 5t.

The total cost of the meal is 2b + 5t = $19.50.

Similarly, if five students have burritos, then the cost of the burritos is 5b.

If two students have tacos, then the cost of the tacos is 2t.

The total cost of the meal is 5b + 2t = $22.50.

We can set up a system of equations to solve for b and t:

2b + 5t = $19.50

5b + 2t = $22.50

We can solve this system using the elimination method. Multiplying the first equation by 5 and the second equation by 2, we get:

10b + 25t = 97.50

10b + 4t = 45.00

Subtracting the second equation from the first equation, we get:

21t = 52.50

t = $2.50

Substituting this value for t into the first equation, we get:

2b + 5 x $2.50 = $19.50

2b = $7

b = $3.50

Therefore, the price of a taco is $2.50 and the price of a burrito is $3.50.

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Answer:

solutions

Step-by-step explanation:

use the quotient property to rewrite the expression.

write the difference of logs as the quotient log((d+1)/d).

substitute 1 for d to get log(2).

since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

Answer:

Use the quotient property to rewrite the expression.

Write the difference of logs as the quotient log((d+1)/d).

Substitute 1 for d to get log(2).

Since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

Step-by-step explanation:

Answer:

whats the question?

Step-by-step explanation:

the answer is 9:10 hope it helps

Final answer:

Katie was a quarter of an hour, or 15 minutes, late to school which starts at 8:55 AM. So, she arrived at 9:10 AM.

Explanation:

If school starts at 8:55 AM and Katie was a quarter of an hour late, that means she was 15 minutes late because a quarter of an hour is 15 minutes (60 minutes divided by 4 equals 15 minutes).

To find out what time Katie arrived, we need to add 15 minutes to the starting time of school:

School starts: 8:55 AM

Time late: + 15 minutes

Time of arrival: 9:10 AM

So, Katie arrived at school at 9:10 AM.

Answer:

2(7y+19)

Step-by-step explanation:

14y+38=2(7y+19)

Answer:

He is correct

Step-by-step explanation:

multiplication and division are inverse operations so lets divide to see if he is correct

40.7/10=4.07

he is correct

Since the result tallies with Ethan's assumption, hence the result of Ethan is correct.

According to Ethan, he assumed that the product of  10 and 4.07 is 40.7, we are to check if the calculation of Ethan is correct.

To do that, we will have to multiply 10 with 4.07 as shown below:

[tex]= 10 \times 4.07 \\= 10 \times \frac{407}{100}\\=\frac{4070}{100} \\=40.70[/tex]

Since the result tallies with Ethan's assumption, hence the result of Ethan is correct.

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$3 donated_____$120 spent

$1,000 donated__X=$40,000 spent

(1,000*120)/3= 40,000

Answer: The Customers have to spend $4000 in order to raise $1000 for the pet rescue program.

Step-by-step explanation:

Hi, to answer this question we have to write a proportion.

Proportion = money spent / money raised for the pet rescue program

For every $120 that customers spend, $3: 120/3

To raise $100 : x / 100

Where x is the money that customers spent to raise $100 for the pet rescue program.

Solving for x:

120/3 = x /100

(120/3)100=x

x =$4000

Answer:

the answer is type 2

Step-by-step explanation:

ok so you first have to find the ratio of all of them and for type 1 it is 40 to 1 for type 2 it is 50 to 1 type 3 is 25 to 1 and type 4 is 30 to 1 so there for type two has the biggest ratio of fragrance to wax

The required table that has a higher ratio of fragrance to wax is type 2.

As given in the question, a company makes four different types of candles. The ratio of fragrance to wax for each type of candle is shown in the tables.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
For Type 1
The ratio of Fragrance to wax.
= 20 / 0.5 = 40 / 1

For Type 2
The ratio of Fragrance to wax.
= 150 / 3 = 50 / 1

For Type 3
The ratio of Fragrance to wax.
= 250 / 10 = 25

For Type 4
The ratio of Fragrance to wax.
= 30 / 1

Now,
50 > 40 > 30 > 25
Type 2 > type 1 > type 3 > type 4

Thus, the required table that has a higher ratio of fragrance to wax is type 2.

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Answer:

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours

Step-by-step explanation:

Let f be the number of working hours of first mechanic

Let s be the number of working hours of second mechanic

Given that they both worked for a combined total of 25 hours

⇒f + s = 25 → equation 1

First mechanic charged $95 per hour and second mechanic charged $90 per hour and they both together charged $2350

⇒95f + 90s = 2350 → equation 2

Using equation 1 in equation 2:

95f + 90(25-f) = 2350

⇒95f + 2250 - 90f = 2350

⇒5f = 100

or f = 20 hours

⇒s = 25 - f ⇒ s = 5 hours

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours

Answer:

21 divided by 14 is 1.5

and

1.5 x 4 = 21

The calculated division of the numbers 21 divided by 14 is 3/2

From the question, we have the following parameters that can be used in our computation:

21 divided by 14

When represented as an equation, we have

21 divided by 14 = 21/14

Divide 21 by 14

So, we have the following result

21 divided by 14 = 3/2

Using the above as a guide, we have the following:

the result is 3/2

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