2/5(15p-20)= -8p-3(p-6)

Answer:

Exact Form = 8/5

As a decimal = 1.6

As a Mixed Fraction =  1 3/5

Step-by-step explanation:

If it would make it esier for you to understand I would sugest turning the fraction, "46/5" into a decimal.

You do that by dividing 46 by 5. You then get, 9.2.

Then do 9.2 divided by 5.75 and you get 1.6.

If you would like the answer as a fraction just turn the answer into a fraction.

Hope this helps :-)

To divide 46/5 by 5.75, multiply the numerator and denominator of 46/5 by the reciprocal of 5.75/1, which is 1/5.75. Simplify the expression to get 8/23.

To divide 46/5 by 5.75, we can first express 5.75 as a fraction by dividing 5.75 by 1. This gives us 5.75/1. Next, we can multiply both the numerator and denominator of 46/5 by the reciprocal of 5.75/1, which is 1/5.75. This gives us (46/5) * (1/5.75). Simplifying the expression, we get 8/23.

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I believe it’s 6.8 if I’m wrong I’m sorry

By using the formula of  perimeter of rectangle,

Length of the rectangle is 24 inches

What is perimeter of a rectangle?

Perimeter of a rectangle is the length of the boundary of the rectangle.

If the length of the rectangle is l and breadth of the rectangle be b, then perimeter of rectangle is [tex]2(l + b)[/tex]

Let the length of rectangle be l inch

Width of rectangle = 10 inch

Perimeter of rectangle = [tex]2(l + 10)[/tex] inch

By the problem,

[tex]2(l + 10) = 68\\l +10 = \frac{68}{2}\\l + 10 = 34\\l = 34 -10\\[/tex]

[tex]l = 24[/tex] inches

Length of the rectangle is 24 inches

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Answer:

8.50

Step-by-step explanation:

sales price x sales tax rate = sales tax

170 x .05 =8.50

The deals duty on apparel that costs $ 170 with a deals duty rate of 5 is $8.50.

To calculate the deals duty on apparel that costs $ 170 with a deals duty rate of 5, you can follow these way

Convert the deals duty rate from a chance to a numeric.

The deals duty rate of 5 is original to 0.05.

Multiply the deals price of the apparel by the deals duty rate to find the deals duty quantum.

Deals duty quantum = $ 170 x 0.05

= $8.50

Thus, the deals duty on apparel that costs $ 170 with a deals duty rate of 5 is $8.50.

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I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?

Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, x. That year, that price of x increased by 20% more than it was before, or 120% times the original value. Because of that, it's now $150.

We can equation this.

1.20x = 150

x = 150/1.2

x = 125

The bike, I believe, cost $125 last year. Hope this helps!

Final answer:

To find the value of the mountain bike last year, we can use the concept of percentage increase and decrease.

Explanation:

To find the value of the mountain bike last year, we can use the concept of percentage increase and decrease. If the price of the bike increases by 20%, then the current value is 120% of the previous value.

To find the previous value, we can set up an equation: 120% of the previous value is equal to $150. Mathematically, this can be written as 1.2x = 150, where x is the previous value.

Solving the equation, we divide both sides by 1.2 to isolate x: x = $125. Therefore, the value of the mountain bike last year was $125.

The quotient and remainder of the given division operations are:

4)76 = 19

3)92 = 30 remainder 2

6)53 = 8 remainder 5

From the question, we are to evaluate the given divisions

The divisions can be evaluated as follows:

  19    

4)76

-  4      

   36

-   36  

 = 19

  30    

3)92

-  9      

   02

-     0  

     2

= 30 R 2

  08    

6) 53

-  0      

    53

-   48    

      5

= 8 R 5

The answer would be 0.002

The answer to 0.45 / 225 = 0.002

Hope this helps you..

Answer:

Number sentences.

Addition-Addend-Sum.

Subtraction-Difference.

Step-by-step explanation:

1. By definition Number sentences contains number and common symbols.

2. They can be: "Addition" (which has "Addend" that form the "Sum") and "Subtraction" (whose result is known as "Difference").

3. You can see the answer of the tree map in the figure attached.

Hello!

Explanation:

↓↓↓↓↓↓↓↓↓↓

First, rewrite 10 as 2*5

[tex]2k+2*5[/tex]

Then, factor out common term 2.

[tex]=2(k+5)[/tex]

Answer⇒⇒⇒⇒2(k+5)

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Answer:

990 pounds

Step-by-step explanation:

If one troop eats 11 pounds and there are 90 troops, you only need to multiply 90 by 11.

Answer:

- The equation is: [tex]\frac{249}{2}=2(x+\frac{17}{4})+2x[/tex]

- The width of the postage stamp is 29 milimeters.

- The length is 33.25 milimeters.

Step-by-step explanation:

1. The length ([tex]y[/tex]) is [tex]4^{\frac{1}{4} }mm=\frac{17}{4}mm[/tex] longer than the width ([tex]x[/tex]):

[tex]y=x+\frac{17}{4}[/tex]

2. The perimeter is [tex]124^{\frac{1}{2}}mm=\frac{249}{2}mm[/tex].

3. The perimeter of a rectangle is:

[tex]Perimeter=2Length+2Width[/tex]

4. Substitute values:

[tex]\frac{249}{2}=2(x+\frac{17}{4})+2x[/tex]

5. Solve for the width [tex]x[/tex]:

[tex]\frac{249}{2}=2x+\frac{34}{4}+2x\\x=\frac{116}{4}\\x=29[/tex]

6. Calculate the length:

[tex]y=x+\frac{17}{4}\\y=29+\frac{17}{4}\\y=33.25[/tex]

The width and length of the postage stamp are calculated by formulating and solving an equation based on the given perimeter and the relationship between the length and width. The width is found to be 29 mm, and the length is 33.25 mm.

The subject of this question is Mathematics and it's related to the concept of the perimeter of a rectangle. If we denote the width of the postage stamp as 'W' (in millimeters), then it's length will be 'W + 4.25' millimeters because it's stated in the problem that the length is 4.25 mm longer than the width.

The perimeter of a rectangle (which is the shape we can assume for a postage stamp) is calculated as follows: Perimeter = 2(Length + Width). Substituting the value for length that we've assigned, we get this equation:

124.5 = 2[(W + 4.25) + W]

Solving this equation step-by-step will lead you to the answer. First, distribute the 2 into the parentheses which gives: 124.5 = 2W + 8.5 + 2W. Combine like terms to simplify: 124.5 = 4W + 8.5. Then, subtract 8.5 from both sides of the equation: 116 = 4W. Lastly, divide by 4 to find 'W': W = 29 mm. Therefore, the width of the postage stamp is 29 mm, and the length is 29 mm + 4.25 mm = 33.25 mm.

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Unit rate for 8 hours: $9.00/hr. Unit rate for 6 hours: $9.50/hr. ($72.00/8 = $9.00, $57.00/6 = $9.50)

To find the unit rate, which is the amount earned per hour, you divide the total earnings by the number of hours worked.

For babysitting 8 hours and making $72.00:

Unit rate = Total earnings / Number of hours worked

Unit rate = $72.00 / 8 hours

Unit rate = $9.00 per hour

For babysitting 6 hours and making $57.00:

Unit rate = Total earnings / Number of hours worked

Unit rate = $57.00 / 6 hours

Unit rate = $9.50 per hour

So, the unit rate in dollars per hour for each scenario is:

- $9.00 per hour for babysitting for 8 hours and making $72.00.

- $9.50 per hour for babysitting for 6 hours and making $57.00.

The complete question is here:

Babysitting for 8 hours and making $72.00 or babysitting for 6 hours and making $57.00. What is the unit rate in dollars per hour?

m = 4, n = 4

Plug in 4 for m and n

10(4) + (4)^2

Simplify. Multiply

4^2 = 4(4) = 16

10(4) = 40

40 + 16 = 56

56 is your answer

hope this helps

Answer:

a-bi

Step-by-step explanation:

If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi

Because we have l, m and n are real numbers and they are the coefficients.

Sum of roots = a+bi + second root = -m/l

When -m/l is real because the ratio of two real numbers, left side also has to be real.

Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.

i.e. other root will be of the form c-bi for some real c.

Now product of roots = (a+bi)(c-bi) = n/l

Since right side is real, left side also must be real.

i.e.imaginary part =0

bi(a-c) =0

Or a =c

i.e. other root c-bi = a-bi

Hence proved.

a) (x,y) =(x-3, y-2)

Answer:

a) (x,y) → (x - 3, y - 2)  

Step-by-step explanation:

Comparing the pre-image points, r, s and t, to the image points, r', s' and t', we see that the x-coordinates of the image are all 3 less than the x-coordinates of the image:

10-7 = 3; 8-5 = 3; 6-3 = 3

This means the first part of the translation rule will be x-3.

Now comparing the y-coordinates, we see that the y-coordinates of the image are all 2 less than the y-coordinates of the pre-image:

6-4 = 2; 4-2 = 2; 6-4 = 2

This means the second part of the translation rule will be y-2.

This gives us (x, y)→(x-3, y-2).

If two lines are intersected by a transversal, and the alternate interior angles are equal, then the lines are parallel.

Conversely, if two lines are parallel, then the alternate interior angles formed by the transversal are equal.

So, Ray can made the conclusion that l and m are parallel because alternate interior angles are equal since m∠3 = m∠6.

Ray can conclude that lines l and m are parallel because alternate interior angles are equal.

Ray knows that the measure of angle 3 (m∠3) is equal to the measure of angle 6 (m∠6). When two lines are intersected by a transversal (a line that intersects two other lines), and the corresponding angles on either side of the transversal are equal, it is a characteristic of parallel lines.

In this case:

- Angle 3 and angle 6 are corresponding angles because they are on the same side of the transversal and in the same relative position with respect to lines l and m.

- The fact that m∠3 = m∠6 indicates that lines l and m have corresponding angles that are equal.

Therefore, based on the given information that m∠3 = m∠6, Ray can conclude that lines l and m are parallel because alternate interior angles (corresponding angles) are equal, which is a property of parallel lines.

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1.

-6 / 11 x 3/4 = -9/22

6 x 3 = 18

11 x 4 = 44

18 / 2 = 9

44/2 = 22

It is negative so your answer is A) -9/22

2.

-1/4 x -6/11 = 3/22

1 x 6 = 6

4 x 11 = 44

6 / 2 = 3

44 / 2 = 22

Since there are 2 negatives it becomes a positive. So that makes your answer 3/22.

3.

Your answer is going to be D) The city park has an area of 7/8 square kilometer. The width of the park is 1/3 kilometer. What is the length of the park? because it is multiplying unlike all the other problems which are dividing and subtracting.

4.

You are going to multiply to see how many total minutes it will take to repair the section of the road.

18.3 x 5.1 = 93.33

It will take 93.33 minutes to repair the section of the road.

Hope this Helps!!

Final answer:

The product in simplest form of −6/11 × 3/4 is −9/22, while −1/4 × (−6/11) gives 3/22. The equation 1/3 × 7/8 = m is used to determine how many dog bowls can be filled from a bucket containing 7/8 gallon of water. It takes 93.33 minutes to repair an 18.3 square feet section of road at a rate of 5.1 minutes per square foot.

Explanation:

1. The product in simplest form of −6/11 × 3/4 is calculated by multiplying the numerators together and the denominators together. So, −6 × 3 = −18 and 11 × 4 = 44. The product is −18/44, which simplifies to −9/22 after dividing both numerator and denominator by 2. Therefore, the correct answer is A. −9/22.

2. The product of −1/4 × (−6/11) is found by multiplying the numerators and the denominators separately. −1 × (−6) = 6 and 4 × 11 = 44. The product is 6/44, which simplifies to 3/22 after dividing both numerator and denominator by 2.

3. The story problem that could be solved using the given equation 1/3 × 7/8 = m involves multiplying fractions to find a final value. In option C, Julia has a bucket that contains 7/8 gallon of water, and wants to know how many dog bowls (each bowl holds 1/3 gallon) she can fill. This requires multiplying the two fractions, making option C the correct answer.

4. To find how many total minutes it will take to repair a section of road covering 18.3 square feet, where each square foot requires 5.1 minutes to repair, we multiply 18.3 by 5.1. The calculation is 18.3 × 5.1 = 93.33 minutes. Therefore, it will take 93.33 minutes to repair the section of road.

None of those show another way to 64

6*6*6*6=1296

4*4*4*4*4*4=4096

6+6+6+6=24

6*4=24

Another way to show 64 is 8*8 or 4^3

(1) y = 7x , (2) y = 11x , (3) y = 9x , (4) y = 28x

given y varies directly as x then y = kx ( k is the constant of variation )

(1) find k using the given conditions k = [tex]\frac{y}{x}[/tex] = [tex]\frac{63}{9}[/tex] = 7

equation is y = 7x

(2) k = [tex]\frac{121}{11}[/tex] = 11

equation is y = 11x

(3) k = [tex]\frac{36}{4}[/tex] = 9

equation is y = 9x

(4) k = [tex]\frac{224}{8}[/tex] = 28

equation is y = 28x

The answer to your question is  

d.

78.5 m^2

78.54 m² is your answer. So to recap, a goat tethered to a stake in the ground with a 5 m rope has 78.54 meters to graze.

We get this answer by putting the information into an equation. We know that a circle has 360° (360 degrees) and so when we see the problem say that the goat can graze 360 degrees around the stake, we instantly know it's talking about a circle. Look at the question, it's asking about the area of the circle. Now we can make an equation to find the area of this circle.

The area of a circle is A = πr²

That's Area = Pi times Radius squared.

We'll use 3.14 as substitute for Pi. The radius was given to us, it is 5 m. Put the information into the formula.

A = 3.14 * 5²

Now we do the order of operations. In the order of operations, we have no parenthesis to work with, but we do have an exponent. So we take 5 to the second power, (5² = 5 * 5) and we update our problem.

A = 3.14 * 25

Now we finish the problem by multiplying 3.14 and 25.

A = 78.54

We're not entirely done. Now we include our units of measurement. In this case, we were using m for meters. When solving for area, the unit is always squared in the final answered. So this would be our final answer:

A = 78.54 m²

36 ÷ 4 can be written as:

Thirty-six divided by four.

24 - (6 + 3) can be written as:

The difference of twenty-four and six plus three.

We'll use the expression x - 7 for this one.

The difference between a number and seven.

Hope this helps!

The length of pine street would be; 7.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We have been given that maple street is 3 times as long as pine street.

We need to find the length of pine street.

Therefore,

We have to divide 21 divided by 3 which is;

21/3 = 7

Hence, A pine street would be; 7.

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If we are trying to solve this then the variable A would be equivalent to 2/5 or A < 2/5

1. Ten times a number increased by four is no more than twenty five is  [tex]\(10x + 4 \leq 25\)[/tex]

2. One fourth of the opposite of the difference of five and the number less than twenty is  [tex]\(\frac{1}{4}(-5-x) < 20\)[/tex].

3. -5a+3>1  This inequality asserts that the result of subtracting three times a value (a) from negative five is greater than one.

1. [tex]\(10x + 4 \leq 25\)[/tex]: This inequality describes a situation where ten times a number (x) increased by four is less than or equal to twenty-five.

It represents a constraint on the possible values of x such that the expression 10x + 4 does not exceed 25.

2. [tex]\(\frac{1}{4}(-5-x) < 20\)[/tex]: This inequality states that one-fourth of the opposite of the difference of five and the number (x) is less than twenty.

It indicates a restriction on the value of x such that when subtracted from five and negated, the result, when multiplied by one-fourth, is less than twenty.

3. Description of Inequality: -5a + 3 > 1

  This inequality asserts that the result of subtracting three times a value (a) from negative five is greater than one.

It signifies a condition where the expression -5a + 3  is strictly greater than 1, setting boundaries on the possible values of a to satisfy this relationship.

The probable question may be:

1. Ten times a number increased by four is no more than twenty five

2. One fourth of the opposite of the difference of five and the number less than twenty.

3. Write a description of each inequality.

-5a+3>1

Equation of a line in slope-intercept form is y = mx + b

If it has a slope of 1/2, you set m = 1/2. If it has a y-int at the origin, you set b = 0

Put it all together:

y = 1/2x + 0

or

y = 1/2x

Linear equation with slope [tex]\frac{1}{2}[/tex] and y-intercept as origin will be [tex]y=\frac{1}{2}x[/tex].

    Equation of a line with slope 'm' and y-intercept 'b' is given by the equation,

It's given in the question,

If the line passes through origin, line will have no y-intercept (b = 0)

By substituting the values of 'm' and 'b' in the equation,

[tex]y=\frac{1}{2}x+0[/tex]

[tex]y=\frac{1}{2}x[/tex]

    Therefore, linear equation will be [tex]y=\frac{1}{2}x[/tex].

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Answer:

To express 0.1 as a percent, move the decimal point (2) place(s) to the (right) and attach (%)

Step-by-step explanation:

Hope it helps!

To express 0.1 as a percent, move the decimal point (2) place(s) to the (right), and attach (%).

To write 0.1 as a percent, we will execute the subsequent steps:

Multiply the given decimal number by 100.

This gives [tex]$0.1 \times 100=10$[/tex]

During decimal multiplication, we always move the decimal to the right depending on the number of zeros by which the given decimal number exists multiplied.

Here we contain 2 zeros, hence we shift 2 places to the right.

Append the % symbol in the product acquired. So, the necessary percentage exists [tex]$10 \%$[/tex].

In simple words, we can just multiply the assigned decimal number with 100 to transform it into a percent.

Therefore, 0.1 as a percent exists 10 %.

To express 0.1 as a percent, move the decimal point (2) place(s) to the (right), and attach (%).

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Allen missed 5 targets.

Hope this helped! :)

The Answer to this is: True.

find his total number of miles: 10,368 + 2,832 = 13,200

subtract from 15000 to see how many more he needs: 15,000 - 13,200 = 1,800

divide by 2 to find the number of dollars: 1800/2 = 900

he'll need to charge $900 to get 15,000 miles.

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA = [tex]\frac{50-x}{2}[/tex]

[tex]=25-\frac{x}{2}[/tex]

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

[tex]=(25-\frac{x}{2} )+\frac{x}{2} +[/tex] + ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°.

Answer = 155 degrees