What is the answer to number 3?

Step-by-step explanation:

Hi, the mistake was in the calculation of the second line to the third line.

    7-3[tex]x[/tex]+4[tex]y[/tex]

=7 - 3(-4) + 4(2)

=7 - (-12) + 8

=7 +12 + 8

=19+ 8

=27

Answer:

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

Answer:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Step-by-step explanation:

Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

An expression is combination of variables, numbers and operators.

The properties we use to rewrite expressions and equations​ are

The commutative

Associative, and

distributive properties

These properties help to rewrite a complicated algebraic expression into simpler form.

When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hence, Commutative, Associative and Distributive  properties do we use to rewrite expressions and equations​.

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Answer:

Step-by-step explanation:

8.5*6.2=52.7

The required time taken by Denise to complete the race is 52.7 minutes.

Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles =  6.2 * 8.5
                                                                  = 52.7 minutes

Thus, the required time taken by Denise to complete the race is 52.7 minutes.

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The solution to the inequality is [tex]y[/tex] > [tex]-17[/tex]

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Answer:

j ≤ 3

Step-by-step explanation:

Since she has $27 with her and needs a balance if $6, the amount of money she can spend on buying the jeggings will be $27-$6 = $21

This means that she has $21 to spend on buying the jeggins

From the question, one jeggings cost $7, so the maximum number of jeggings she can buy is 21/7 = 3

So the inequality that represents this will be;

j ≤ 3

This is because she can decide to buy less than 3, but never can she buy more than 3 because of her budgetary constraints

Answer:

integers

Step-by-step explanation:

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

Answer:

x = -1

Step-by-step explanation:

3x - 10x + 5 = 5x + 17 (collect like terms)

-7x + 5 = 5x + 17 (subtract 5x on both sides)

-12x + 5 = 17 ( subtract 5 on each side)

-12x = 12 ( divide by -12 on each side)

x = -1

Answer:

x = - 1

Step-by-step explanation:

[tex]3x - 10x + 5 = 5x + 17[/tex]

Add the like terms.

[tex] - 7x + 5 = 5x + 17[/tex]

Add 7x to both sides.

[tex]5 = 12x + 17[/tex]

Subtract 17 from both sides.

[tex] - 12 = 12x[/tex]

[tex] - \frac{12}{12} = x[/tex]

[tex] - 1 = x[/tex]

Answer:

7x+y=6

Step-by-step explanation:

trust

Answer:

No

Step-by-step explanation:

The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

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Answer:

A^2 means a*a

Step-by-step explanation:

A^2 = 5^2=5*5=25

3a^2=3*5^2=3*25=75

A^2+7=5^2+7=25+7=32

Answer:

Powers of ten

Step-by-step explanation:

They are the result of multiplying 1= times iteself however many times.  

4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where -2 is the slope (m) and -5 the y-intercept (b)

the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us

3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:

y = -2x+17

An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10

Thus, dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where, -2 is the slope (m) and -5 the y-intercept (b)

Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.

Then Plugging in 7 and 3 for x and y gives us;

3 = -2(7)+b

3 = -14+b

17 = b

Therefore, our new line’s equation:

y = -2x+17

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Answer:

Que

Step-by-step explanation:

Answer:

6x+2

Step-by-step explanation:

First you have to do the parenthesis.

The equation should be now,

7x+3x-6-4x+8

I would now add the variables

6x-6+8

6x+2

Answer:

p = -30.3

Step-by-step explanation:

Answer:

p=  −91/3

Step-by-step explanation:

Answer:

It should be 1/16

Step-by-step explanation:

The word of in a word problem means multiplication so if you multiply you get 1/16

Answer:

Step-by-step explanation:

Time spend on online = 1/6 of 24 hours

                                    = [tex]\frac{1}{6}*24[/tex]

                                    =  4 hours

Time spend on writing a blog = 3/8 of 4

                                                 = [tex]\frac{3}{8}*4[/tex]

                                                 = [tex]\frac{3}{2}= 1\frac{1}{2}[/tex]

                                                 = 1 hour 30 minutes

Answer:

79.94688

Step-by-step explanation:

Answer:

[tex]5^{2}[/tex](7) = 175

Step-by-step explanation:

hope this helps! just follow the order of operations. :)

Answer:

125612

Step-by-step explanation:

Answer:

28.29 gallons

Step-by-step explanation:

Given that the available amount of 21%-concentrated red dye= 66 gallons.

Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.

Total amount of the resulting mixture = 66 + x gallons.

Amount of red dyes in the mixture = (21% of 66) + (51% of x)

To get the resulting mixture as 30%-concentrated red dyes, we have

30% of (66+x) = (21% of 66) + (51% of x)

[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]

Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.

Answer:

C. 24 inches by 15 inches

Step-by-step explanation:

Given

[tex]Rectangle: 8\ by\ 5\ inches[/tex]

Required

Determine the scale copies

To do this, we calculate the ratio.

[tex]Ratio = \frac{Actual}{Measured}[/tex]

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

[tex]Ratio =\frac{8}{1.4}[/tex]

[tex]Ratio = \frac{40}{7}[/tex]

Width:

[tex]Ratio = \frac{5}{2.5}[/tex]

[tex]Ratio = 2[/tex]

Analyzing B.

Sides: 15 inches by 10 inches

Length

[tex]Ratio = \frac{8}{15}[/tex]

Width:

[tex]Ratio = \frac{5}{10}[/tex]

[tex]Ratio = \frac{1}{2}[/tex]

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

[tex]Ratio = \frac{8}{24}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Width:

[tex]Ratio = \frac{5}{15}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

[tex]Ratio = \frac{8}{9}[/tex]

Width

[tex]Ratio = \frac{5}{6}[/tex]

Both ratios are not equal

Option C answers the question because both ratio are equal

Answer:

x + (x + 3) + (x + 5)

Step-by-step explanation:

Sea x el número de latas que caben en el ancho.

Como hay 5 latas más que encajarán en la longitud, el número total de latas que encajarán en la longitud será (x + 5) latas

También caben tres latas más en la altura, la cantidad de latas que será (x + 3)

Así que ahora, el número total de latas que cabrán en la caja será;

x + (x + 3) + (x + 5)