Lettuce is packaged four bags to a box.if there are 3.5 boxes of lettuce in the cooler, how many bags of lettuce would there be

Answer:

∠Q = 75 °

Step-by-step explanation:

Since PR = PQ then Δ PQR is isosceles and the base angles are congruent, that is

∠R = ∠Q = 2x + 15

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

2x + 15 + 2x + 15 + x = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Hence

∠Q = 2x + 15 = (2 × 30) + 15 = 60 + 15 = 75°

Answer:

[tex]x=30^o[/tex]

Step-by-step explanation:

step 1

Find the measure of angle KNL

we know that

[tex]m\angle KNL+m\angle LNM+m\angle ONM=180^o[/tex]----> by straight angle

we have

[tex]m\angle LNM=45^o[/tex] ---> given problem

[tex]m\angle ONM=105^o[/tex] ---> given problem

substitute the given values

[tex]m\angle KNL+45^o+105^o=180^o[/tex]

[tex]m\angle KNL+150^o=180^o[/tex]

[tex]m\angle KNL=180^o-150^o[/tex]

[tex]m\angle KNL=30^o[/tex]

step 2

Find the value of x

In the right triangle KNL

we know that

[tex]m\angle KNL+m\angle NKL=90^o[/tex] ----> by complementary angles

we have

[tex]m\angle KNL=30^o[/tex]

[tex]m\angle NKL=2x[/tex]

substitute

[tex]30^o+2x=90^o[/tex]

[tex]2x=90^o-30^o[/tex]

[tex]2x=60^o[/tex]

[tex]x=30^o[/tex]

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

Answer:

$210

Explanation:

175/15 = 11.67

11.67x18 = 210

The amount of money that employees earn in 18 hours with the same rate of change will be $210.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

An employee earns $175 for 15 hours of work.

Per hour earning = $175/15

Earning in 18 hours will be, 175/15 x 18 = $210

Hence "The amount of money that employees earn in 18 hours with the same rate of change will be $210".

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Answer:

32

Step-by-step explanation:

Subtract 4 from 100

96

Divide by 3

32

The solution to the equation is x = 32, so Elijah baked 32 brownies last week.

To find out how many brownies Elijah baked last week, we need to solve the equation 100 = 4 + 3x, where x is the number of brownies he made last week. Here are the steps to solve the equation:

Therefore, Elijah baked 32 brownies last week.

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Step-by-step explanation:

[tex]28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}\\\\\text{simplify 28 and 7 (divide both by 7)}\\\\=\dfrac{28\!\!\!\!\!\diagup^4\cdot4}{1\cdot7\!\!\!\!\diagup_1}=\dfrac{4\cdo4}{1\cdot1}=\dfrac{16}{1}=16[/tex]

[tex]\dfrac{28}{7}\cdot4=(28:7)\cdot4=4\cdot4=16[/tex]

[tex]\text{Both expressions give the same result.}[/tex]

[tex]28\cdot\dfrac{4}{7}=\dfrac{28}{7}\cdot4\\\\28\cdot\dfrac{4}{7}=\dfrac{28}{1}\cdot\dfrac{4}{7}=\dfrac{28\cdot4}{1\cdot7}=\dfrac{28\cdot4}{7\cdot1}=\dfrac{28}{7}\cdot\dfrac{4}{1}=\dfrac{28}{4}\cdot4[/tex]

Your question:

EXPLAIN HOW 28*4/7 IS CORRECT AND (28 / 7) x 4 IS NOT

It all depends on the content of the question for which these expressions are.

Qestion:

Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?

Correct is 28 * 4/7.

(You calculate a fraction of a number).

28/7 * 4 - gives the same result. But the expression does not match the content of the question.

Answer:

2.16 inches so ya

The number of inches in 15 percent of 1.2 foot is obtained as 216.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The number of inches in 1 feet = 12.

Then, in 1.2 foot the inches are 1.2 × 12 = 14.4.

Now, the percent value 15% of 1.2 foot is given as below,

15% × 1.2 foot

⇒ 15/100 × 14.4 inch

⇒ 216 inch

Hence, the number of inches are given as 216.

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Answer:15/28

Step-by-step explanation: Ive had this question before That is the answer :)

Final answer:

To find the probability of selecting a solid sock both times from Daniel's drawer, multiply the probabilities at each step independently to get 1/105 or approximately 1% in total.

Explanation:

To calculate the probability of selecting a solid sock both times, you need to consider the independent probabilities at each step.

Probability of selecting a solid sock the first time is 1/7.

Probability of selecting a match for the second sock from the remaining socks would be 1/5.

Continuing this pattern, the total probability of selecting a solid sock both times is 1/105 or about 1%.

Answer:

expression for cookies  Anna have 3c- 8

Step-by-step explanation:

Given:

Number of cookie batches Anna baked = 2

Number of cookies in each batch = c

Number of cookies Anna ate  = 8

To Find:

An expression representing the number of cookies left with Anna

Solution:

Let the expression representing the number of cookies left with Anna be y

First let us find the total number of cookies Anna baked

She baked 3 batches of cookies and each batch had c cookies in it

So,

Total number of cookies Anna baked =  number batches X Number of cookies in each batch

=>[tex]3 \times c[/tex]

=> 3c

Now Anna ate 8 from 3c cookies, so she will be left with

=>3c-8 cookies

So , y = 3c- 8

Answer: 12 gallons

Step-by-step explanation:

Use proportion to estimate how much gas she needs for 204 miles.

10:120=x:204

204*10=120x

x=2040/120

x=17 gallons

For 204 mile trip Trina needs 17 gallons of gas. She has 5 gallons.

17-5=12

She will need 12 gallons of gas.

Answer:

C

Step-by-step explanation:

The slope is 4/1, written as 4

The y int is 4

Write the equation in y = mx + b form

y = 4x + 4

Answer:

The solution for the equation is x equal to -16

Step-by-step explanation:

Let's find the solution for x in the equation given:

x/2 + 3 = -5

Multiplying by 2 at both sides of the equation, we have:

x + 6 = -10

Subtracting 6 at both sides of the equation, we have:

x + 6 - 6 = - 10 - 6

x = - 16

The solution for the equation is x equal to -16

Terms used: multiply, subtract, solution, equal to, equation

To solve the equation x/2 + 3 = -5 for x, subtract 3 from both sides to get x/2 = -8. Then multiply both sides by 2 to isolate x, giving the solution x = -16.

To find the solution for the variable x in the given equation x/2 + 3 = -5, we need to use the inverse operations of addition and division. Firstly, we need to eliminate the +3 from the left-hand side of the equation. We apply the inverse operation to addition which is subtraction. Therefore, we subtract 3 from both sides of the equation. This calculates to: x/2 = -5 -3. This can be simplified to x/2 = -8.

Secondly, to solve for the variable x we then need to remove the division by 2 and to do this, we multiply each side of the equation by 2 (the inverse operation of division) because x divided by 2 multiplied by 2 is equal to x. Hence the new equation becomes: 2*(x/2) = 2*-8 and simplifying gives us x = -16.

This process shows that the solution to the equation x/2 + 3 = -5 is x = -16.

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Answer:

No.

Step-by-step explanation:

If it is geometric  the quotient of the terms and the previous term will be a constant.

213 / 31 = 6.871

4459 / 213= 20.93

These are not equal so the sequence is not geometric.

Answer: 3,000

Step-by-step explanation:

Divide 48,000 by 16

48,000 ÷ 16 = 3,000

Answer:

3000

Step-by-step explanation:

If they produce 48,000 in 16 hours, that means in one hour they produce 48,000 divided by 16.

48000 ÷ 16 = 3000

Answer:

(1, -3)

Step-by-step explanation:

Solve the system of equations of the two lines:

10x-3y=19 ------> eq 1

5x+4y=-7 --------> eq 2

Solve by elimination:

eq 2 x 2

2( 5x+4y) = 2(-7 )

10x + 8y = - 14 ------> eq 3

eq3 - eq 1:

(10x + 8y) - (10x-3y) = - 14 - 19

10x + 8y - 10x + 3y = -33

8y + 3y = -33

11y = -33

y = -3  (substitute back into eq 1)

10x - 3y = 19

10x - 3(-3) = 19

10x + 9 = 19

10x  = 19 - 9

10x = 10

x = 1

Hence the intersection point is (1, -3)

The distance between 4.81 and 2.25 is 2.56.

Divide 2.56 by 2.

2.56 / 2 = 1.28.

Then multiply 0.38 by 1.28.

128 x 32 = 4096, then move the decimal 4 times to the left.

4096.

The decimal is behind the 6, you need to move the decimal in front of the 4.

Therefore, your result is 0.4096.

Answer:

y = 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, thus

y = 5x + c ← is the partial equation

To find c substitute (2, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 5x - 4 ← equation of line

Answer:

The correct option is

The origin is included in the shaded region and the shaded area is below the line.

Step-by-step explanation:

Y>3/2x + 2

Put x=0

Y= 2

(0,2)

Put y=0

X= -4/3

(-4/3,0)

See attached picture for the sketch

Answer:

The origin is included in the shaded region and the shaded area is below the line.

The slope of 0.5 represents the cost per additional topping, while the y-intercept of 5 represents the cost of the plain pizza. Option A provides the correct interpretations.

To interpret the slope and y-intercept of the equation C = 0.5m + 5, where  C  represents the cost of the pizza and m represents the number of additional toppings:

A. The correct interpretation is:

- Slope: The slope of 0.5 represents the cost per additional topping. This means that for each additional topping added to the pizza, the cost increases by $0.5.  

- Y-intercept: The y-intercept of 5 represents the cost of the plain pizza without any additional toppings. This is because when m = 0 (no additional toppings), the cost of the pizza is $5, which is the flat fee for the plain cheese pizza.

To confirm:

- When m = 0, the equation becomes C = 0.5(0) + 5 = 5 , which is the cost of the plain pizza without any additional toppings.

- When m = 1, the equation becomes C = 0.5(1) + 5 = 5.5, indicating that the cost increases by $0.5 when one additional topping is added.

Therefore, option A correctly interprets the slope and y-intercept of the equation.

Answer:

From left to right:

2, 4, 32

Step-by-step explanation:

Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.

yellow to blue = 8 to 16

8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2

8 to 16 = 1 to 2

This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.

In the first two columns, yellow paint is blue paint divided by 2.

4/2 = 2

8/2 = 4

In the last column, blue paint is yellow paint times 2.

16 X 2= 32

All of the ratios yellow to blue are:

2 to 4

4 to 8

8 to 16

16 to 32

Option C

Total amount paid by Alberto is $ 1745.7

Given that Alberto paid for seven large tables to be delivered to the restaurant

Alberto paid a delivery fee of  $95.45

Cost of 1 table = $ 235.75

To find: total amount Alberto paid

cost of seven tables = cost of 1 table x 7

[tex]\text {cost of seven tables }=235.75 \times 7=1650.25[/tex]

Total amount paid = 1650.25 + 95.45

Total amount paid = 1745.7

Thus total amount paid by Alberto is $ 1745.7 Therefore option C is correct

Answer:

y = 3

Step-by-step explanation:

Given:

x²+y²+3xy =-5  and x = -2

Substituting x=-2 into the equation:

(-2)² + y² + 3y(-2) = -5

4 + y² - 6y = -5

y² - 6y +4 + 5 = 0

y² - 6y +9  = 0   (solve by factorization)

(y-3) (y-3) = 0

y = 3

Answer: -2n + -18

Explanation: Let's simplify this problem using the distributive property.

The first thing we want to do is to distribute or multiply the -2 by each of the terms inside the set of parentheses.

So we get -2 (n) + -2 (9) and this simplifies to -2n + -18.

Answer:

Step-by-step explanation:

It is given that, each child bike requires 4 hours to build and each adult bike requires 6 hours to build.

Hence, c child bikes and a adult bikes require [tex](4c + 6a)[/tex] hours to build.

It is also given that, each child bike requires 4 hours to test and each adult bike requires 4 hours to test.

Total time to test, c child bikes and a adult bikes is [tex](4c + 4a)[/tex]

The company will be able to make c child bikes and a adult bikes if [tex](4c + 6a) \leq 120\\(4c + 4a)\leq 100[/tex]

If c = 20 and a = 6, then (4c + 6a) = 116 < 120.

and (4c + 4a) = 104 > 100.

Answer:

Steve's temperature now is 99 degrees.

Step-by-step explanation:

102 degrees- 3 degrees=

99 degrees.

Steve's temperature was 102º F when he woke up. Two hours later, his temperature had dropped by 3º F, thus making his temperature 99º F.

The subject of this question is a real-life mathematics reasoning task about temperature change. Based on the given information, Steve's initial temperature when he woke up was 102º F.

According to the problem, Steve's temperature decreased by 3º after two hours.

To find Steve's temperature after the decrease, you simply have to subtract this decrease from the original temperature. So you calculate 102º F - 3º F, which equals 99º F. Therefore, Steve's temperature two hours later was 99º F.

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Answer: $17,875

Step-by-step explanation:

take 27,500 and multiply it by 35% or .35

27500 x .35= 9625

take 9625 and subtract it from the initial value

27500 - 9625= 17875

Answer:

35 × $27500 = $9625

100 1

= $27500-$9625

=$17875

A function has an input of -6. The output of function is -13

Solution:

Given that function has a input of -6

To find: output of function

Given function rule is y = 2x - 1

The input of the function is "x" and output of function is "y"

By substituting the given input value of "x" in the function rule, we will get the output of function

y = 2x - 1

Plug in x = -6 in above function rule

y = 2(-6) - 1

y = -12 - 1

y = -13

Therefore the output of function is -13

Answer:

Step-by-step explanation:

Part A:

Let, it will take x years to pay.

According to the question,

[tex]2500\times12x = $600000 + $600000 \times \frac{3.7x}{100} \\12x = 240(1 + \frac{3.7x}{100})\\x = 2(1 + \frac{3.7x}{100})\\0.926x = 2\\x = 2.159[/tex]

Part B:

Total money that needs to be paid is [tex]600000(1 + \frac{3.7\times 2.159}{100} )[/tex] = $647929.8.

The bank made $47929.8 in profit.

Answer:

A1(-5,-5)

Step-by-step explanation:

given : A(-6,-2)

simply apply the translation to the coordinates above

A1 ( -6 + 1, -2-3) = A1(-5,-5)