Answer with work shown(please)
-14p = 112
-18 = x -13
14= n +7
354 = -6(-8m -3)
8(5p - 5) = -120
-4(5n - 1) = -156​

The equation of line that passes through the point (-1,4) and slope = -3 , in slope intercept form is  y = (-3)x + 1 .

The Slope Intercept Form of the line is represented by

y=mx+c

where , m is the slope

and

c is the y-intercept

In the question ,

it is given that

the slope of the line is = -3 .

So, the equation of line becomes

y = (-3)x+c    ...(i)

As this line passes through (-1,4) , it will satisfy the equation of line

Substituting the values x as -1 , y as 4 , in equation(i) ,

we get

4 = (-1)(-3) + c

4 = 3 + c

c = 4-3

c = 1

So, the y intercept(c)  is 1 .

Hence the equation of line becomes y = (-3)x + 1 .

Therefore , the equation of line that passes through the point (-1,4) and slope = -3 , in slope intercept form is  y = (-3)x + 1 .

The given question is incomplete , the complete question is

write the equation of line in slope intercept form that passes through the point (-1,4) and has slope as -3 .

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The distance that Ann drove last weekend is 144 miles.

The first step is to determine the rate of Ann's car. Rate is the distance traveled per gallon. It is determined by dividing the total miles traveled by the total gas used.

Rate = distance/gallons

= 252/ 7 = 36 miles per gallon

The next step is to multiply the rate by the gallons she used last weekend. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is x.

Distance Ann traveled = rate x gallons of gas used

= 36 x 4 = 144 miles

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The distance Ann's car travelled using 4 gallons is 144 miles.

The first step is to determine how many miles Ann's car can go using one gallon. To do this, calculate the rate of Ann's car. Rate is the total distance divided by the total gallons.

Miles travelled on one gallon = 252 / 7 = 36 gallons per mile

Now, multiply the rate by the gallons she has. Multiplication is the process that is used to determine the product of two or more numbers.

Total distance travelled = 36 x 4 = 144 miles.

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The linear equation for the situation mentioned can be written as T=a+mf, where "T" is the total cost of the the iPhone, "a" is then activation fee, "m" is the number of months of membership and "f" is the monthly membership fee. Hence T = 45 + 64m is our required equation.

As per the question statement, Alexa is looking at T-Mobile for getting an iPhone and the promotion states that they will charge her $45 for activation fee and $64 per month. We are supposed write a linear equation for the amount T-Mobile will charge Alexa.

Let the equation depicting the situation be T = a + mf, where

T = Total cost of the the iPhone

a = Activation fee

m= number of months of membership/installments

f = monthly fee amount for iPhone

If a = $45 and m=$64 then the equation becomes,  T = 45 + 64m

So, if she pays for 10 months straight, m = 10, total price T will be:

T = 45 + 64(10) = 45 + 640 = $685.00.

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Answer:

[tex]\sf 66\dfrac{2}{3}[/tex]

Step-by-step explanation:

Finding value of 'x':

   [tex]\sf 30 \% \ of \ x = 20\\\\\\ \dfrac{30}{100}*x = 20\\\\[/tex]

To find the value of x, multiply both sides with the multiplicative inverse (Reciprocal) of 30/100.

             [tex]\sf x = 20*\dfrac{100}{30}\\\\x = \dfrac{200}{3}\\\\x= 66\dfrac{2}{3}[/tex]

The width of the scale model is 9.6 inches long

The dimensions of the regulation-sized gymnasium is given as

80 feet wide by 100 feet long

This means that

Width = 80 feet

Length = 100 feet

For the scale model, we have

Length = 12 inches

The scale can be represented as

Scale = Length : Width

This means that

12 inches : Width = 100 feet : 80 feet

Express as fraction

So, we have

Width/12 inches  = 80 feet/100 feet

This gives

Width/12 inches  = 0.80

Multiply both sides by 12 inches

Width = 9.6 inches

Hence, the width is 9.6 inches

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Answer:

[tex] \frac{5}{8} = \frac{22}{x - 6} \\ x≠6 \\ 5(x - 6) = 176 \\ 5x -30 = 176[/tex]

Answer:

a. [tex]3^4[/tex]

b. [tex]7^5[/tex]

c. [tex]10^2[/tex]

d. [tex]5^7[/tex]

Step-by-step explanation:

When multiplying or dividing numbers with exponents, the rule is that you add the exponents together if multiplying, or subtract them if dividing. This is only possible with numbers of the same base (the number before the exponent).

[tex]3^2[/tex] multiplied by [tex]3^2[/tex] is [tex]3^4[/tex] because the exponents, 2 and 2, are added together. The bases remain unchanged.

[tex]7[/tex] times [tex]7^4[/tex] is [tex]7^5[/tex] because another way to write [tex]7[/tex] is [tex]7^1[/tex], and the exponents can be added together from there.

The same logic can be applied to the division questions, but with subtraction instead of addition.

Question:

Two sisters like to compete on their bike rides. Ciara can go 4 mph faster than her sister, Colleen. If it takes Colleen one hour longer than Ciara to go 80 miles, how fast can Colleen ride her bike?

Explanation:

Note that Ciara can go 4mph faster than Collen.

Let's take the speed to ride a bike for Collen to be x mph.

The speed to ride a bike for Ciara will be (x + 4) mph

Now, to cover a distance of 80 miles, Collen takes 1 hour longer than Ciara. Applying the kinematics equation for motion at constant speed:

where v is velocity, d is distance and t is time, we can solve this equation for the time t:

Here time Collen takes to cover a distance of 80 miles in 1 hour is more than that taken by Ciara, hence:

Time taken by Collen:

Time taken by Ciara:

The equation for the difference in time:

Solve the equation for the difference in time to get the value of x which is Collen speed:

Solving the quadratic equation by the quadratic formula where a=1,b=4, and c=-320, we get:

Answer: Colleen's speed is 16 mph.

Answer: x + 2y > 8

Step-by-step explanation:

2x + 4y + 5 + 35 > 56

Isolate variables

2x + 4y > 16

divide by lowest common denominator

x + 2y > 8

Answer: 4 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The distance of the top of the square pyramid will be 10.5 unit.

It should be noted that based on the information, the hypotenuse theorem will be illustrated. This will be:

AC² = AB² + BC²

AB = length of the segment

BC and AC are the other two sides

This will be illustrated as:

AC² = 10² + (6/2)²

AC² = 100 + 9

AC² = 109

AC = ✓109

AC = 10.5

Therefore, the distance is 10.5 units.

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The perimeter of the triangle DEF is half the perimeter of triangle ABC.

We are given a triangle ABC with mid-points D,E, and F of AB, BC and CA respectively.

DEF forms a triangle.

We have to find the relationship between the perimeter of triangle ABC and triangle DEF.

Let us consider sides AB,BC, and CA as 2x, 2y and 2z.

We know that triangle ABC is divided into four equal triangles of sides which are half of the sides of triangle ABC.

Hence,

DE = x,

EF = y, and

DF = z

Hence,

Perimeter of triangle ABC = 2x + 2y + 2z = 2(x + y + z)

Perimeter of triangle DEF = x + y + z

Hence, we can say that the perimeter of triangle  DEF is half the perimeter of triangle ABC.

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Answer:

x = 20

Step-by-step explanation:

250 + 15x = 750 - 10x ( add 10x to both sides )

250 + 25x = 750 ( subtract 250 from both sides )

25x = 500 ( divide both sides by 25 )

x = 20

Answer: x=20

Step-by-step explanation:

1 you Rearrange terms 250+15x=750-10x,  15x+250=-10x+750

2   you Rearrange terms 15x+250=750-10x, 15x+250=10x+750

3 subtracts 350 from both sides 15x+250=-10x+750, 15x+250-250=-10x+750-250

The difference between the distances is 35 km.

Given, the car started at  a distance 40 km.

The car finished the ride at 5 km.

The distance formula, d = st, or distance equals speed times time, can be used to calculate distance. Speed and rate are comparable because they both denote a certain amount of travel per unit of time, such as miles per hour or kilometers per hour. If speed s is equal to rate r

The difference between the distance is:

difference is:

40-5

= 35 km

Hence the difference between the distances are 35 km.

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Answer: 6, No. 12, yes. 2 and 4 No.

Step-by-step explanation:

Simplify the inequality:

6 > x which means that any x that is less than 6 is not a solution.

Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.

These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.

Susan has a destitute family to support in addition to her plans to attend college.

She tells her parents she would live with them and support them financially, but in truth, she plans to attend college and pursue her education while leaving her family behind.

She is battling an internal conflict where she prioritizes her needs over those of her family.

The biggest issue today is one of health. The absence of illness does not imply good health. Illness is caused by a variety of circumstances, including a person's psychological, social, and physical health.

Poverty is correlated with low income, illiteracy, gender inequality, and environmental degradation. Poverty can also result from poor health. Wealthier individuals spend more on their health.

Additionally, the government invests in public health-related projects.

Therefore,

Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.

These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.

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Answer:

f(-8) = 2

Step-by-step explanation:

  y = f(x)

Here, x co-ordinate is an input value, and the y co-ordinate of each point is the corresponding output value.

x = -8. The corresponding y value of -8 is 2

f(-8) = 2

The solution of the expression (x + 1)³ will be;

(x + 1)³ = (x + 1) (x + 1)²

           = (x + 1) (x² + 2x + 1)

           = x³ + 3x² + 3x + 1

What is Mathematical expression?

The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.

Given that;

The expression is;

⇒ (x + 1)³

Now, Solve the expression as;

The expression is;

⇒ (x + 1)³

Expand it as,

⇒  (x + 1)³ = = (x + 1) (x + 1)²

           = (x + 1) (x² + 2x + 1)

           = x³ + 2x² + x + x² + 2x + 1

           = x³ + 3x² + 3x + 1

Therefore,

The solution of the expression (x + 1)³ will be;

⇒ (x + 1)³ = (x + 1) (x + 1)²

              = (x + 1) (x² + 2x + 1)

              = x³ + 3x² + 3x + 1

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Answer:

3

3

1

Step-by-step explanation:

The tablespoons of lemonade mix that it takes per cup of sparkling water is 0.67 tablespoon.

From the information, a recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4 cup of sparkling water.

Let the number of tablespoon be represented as x.

Based on the information given, the expression will be:

1/2 / 3/4 = x/1

0.5 / 0.75 = x/1

Cross multiply

0.75 × x = 0.5

0.75x = 0.5

Divide

x = 0.5 / 0.75

x = 0.67

0.67 tablespoon is needed.

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The probability that a randomly chosen item from this assembly line is defective is 0.125.

Probability simply means the likelihood of the occurence of an event.

From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.

Therefore, the probability will be:

= Percentage of detectives / Percentage of defective accepted

= 1% / 8%

= 0.01 / 0.08

= 0.125

The probability is 0.125.

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Answer:

a) When measuring, use a ruler.

b) Convert to centimeters and then draw the unit on the diagram using a ruler.

c) From K, calculate the angle between K and L.

Details are provided below.

A map displays the towns of K and L.

Calculate the exact distance.

among the towns of K and L.

A third town, M, is 150 kilometers away.

South of the city K.

Mark M with X on the map.

d) Calculate the town L's bearing.

of the town K.

Scale: 1 centimeter equals 50 km

Use a ruler to measure the distance between the towns of K and L in order to determine their real distance from one another.

You'd provide a centimeter-based response (cm).

Given the scale, 1 centimeter equals 50 km, so the answer would be multiplied by 50 km.

So, you'll receive the exact distance in kilometers.

c) This tells us that M is 150 miles overdue.

South of the city K.

Since the first diagram's length is expressed in centimeters, we must determine how many centimeters are equivalent to 150 kilometers.

50km = 1cm

(150 km x 1 cm)/50 km = 150 cm/50

150km = 3cm

The distance between K and M can now be shown on the diagram.

Using a ruler, measure 3 cm away from K in the south (straight line downwards). M would be 3 cm to the south of K when compared to K.

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Answer:

-39

Step-by-step explanation:

 12 - {1+2[-1(3-8)]²}

=12 - {1+2[-1(5)]²}     solve the parenthesis first

=12 - {1+2[5]²}         multiple the 5 by -1

=12 - {1+2[25]}        then square the 5

=12 - {1+50}            multiple 25 by 2

=12 - 51                  solve the curly bracket

= -39                      finally solve it

The conference room is 21 feet long and 14 feet wide.

Given that, in a blueprint of a building, a conference room is 6 inches long and 4 inches wide.

Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is used to draw the enlarged or reduced shape of any given figure and to find the missing length, area, or volume of an enlarged or reduced figure.

Here, the scale factor is 2 inches : 7 feet.

Now, length = 6 inches

= 2 inches + 2 inches + 2 inches

= 7 feet + 7 feet + 7 feet

= 21 feet

Width = 4 inches

= 2 inches + 2 inches

= 7 feet + 7 feet

= 14 feet

Therefore, the conference room is 21 feet long and 14 feet wide.

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From the statements that are provided in the question, the statement that best describes when the plans  is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.

Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement

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Answer:

Domain: x-values

Range: y-values

-

In the graph,

Domain: {-6, 4} or you could write {-6,-5,-4,-3,-2,-1,0,1,2,3,4}

Range: {-9,7} or you could write {-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}

-

(Please look at the picture attached, and read what's written above. You'll get a better understanding)

Answer:

85,100

Step-by-step explanation:

85 <= (81 + 89 + x) / 3 <=90

255 <= 81 + 89 + x <=270

255 <= 81 + 89 + x <=270

174 <= 89 + x <= 189

85 <= x <= 100

x = 85, 100