Alexa is saving up to buy a new jacket. She already has $45 and can save an
additional $7 per week using money from her after school job. How much total
money would Alexa have after 8 weeks of saving? Also, write an expression that
represents the amount of money Alexa would have saved in w weeks.

Answer:

We can start by finding the total number of learners who participate in jogging and cycling by multiplying the ratio by the total number of learners. Let's say x is the number of learners who jog. Then, the number of learners who cycle is 2x.

The total number of learners who jog and cycle is 125, so:

x + 2x = 125

3x = 125

x = 125 / 3

x = 41.67

Since x represents the number of learners who jog, there are 41.67 learners who jog. Since the number of learners who cycle is 2x, there are 2 * 41.67 = 83.33 learners who cycle.

Since these are whole numbers of learners, we round up to the nearest whole number to get 42 joggers and 83 cyclists.

The number of students participating in each of the sports will be 75 for jogging and 50 for cycling.

Solution:

Let's assume that the number of students who participated in jogging will be 3x and those in cycling will be 2x

Given,

3x + 2x = 125

5x = 125

So, x = 25

Therefore, the number of students in jogging will be 3*25 = 75 and in cycling will be 2*25 = 50

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If there are 15 boys and 17 girls in a math class then, the ratio of boys to girls is Option A. 15:17

The ratio of boys to girls in the math class is 15:17. This can be found by dividing the number of boys by the number of girls, which gives:

15/17

This ratio cannot be simplified because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls is 15:17.

The ratio of boys to girls in a math class is the relationship between the number of boys and the number of girls. The ratio is a way of expressing the comparison between two quantities. In this case, there are 15 boys and 17 girls in the class. To find the ratio of boys to girls, we divide the number of boys by the number of girls, which gives 15/17. This ratio cannot be simplified further because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls in the math class is 15:17. This means that for every 15 boys in the class, there are 17 girls.

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The equation of the line of the best fit  for the data will be, y=2.07x-7.5.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The equation of the line is;

y=mx+c

y=2.07x-7.5

Hence, the equation of the line of the best fit will be, y=2.07x-7.5

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Answer: 2.25 per gallon

Step-by-step explanation:

4.50 divided by 2 = 2.25

substitute y

3x - 2(6 + 4x) = 3

3x - 12 -8x = 3

-5x - 12 = 3

- 5x = 15

x = -3

Answer: bro just look it up fr fr

Step-by-step explanation:

Answer: 6 containers

Step-by-step explanation:

Fraction division.

2/3 divided by 1/8.

Keep-change-flip. (or a similar method for dividing fractions)

2/3 times 8/1 is 16/3.

He will fill 5 and 1/3 containers, so 6 containers will have paint in them.

(っ◔◡◔)っ ♥

Hope this helps.

MM4343

Answer:

$19.29

Step-by-step explanation:

We know

Marisol buys a souvenir cup for $14.97 and a book of postcards for $4.32.

How much does Marisol spend?

14.97 + 4.32 = $19.29

So. Marisol spend $19.29

The probability using the fair spinner to get P less than 4 is 3/8.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The total sections = 8.

The probability of less than 4 is:

P(less than 4) = Number of outcomes less than 4/ Total sections

P(less than 4) = 3/8

Hence, the probability using the fair spinner to get P less than 4 is 3/8.

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Answer: ITS 0.25!

Step-by-step explanation: i took the test

Answer:

a: Angle 1 and Angle 3

b: Angle 8 and Angle 5

c: Angle 2 and Angle 9

d: Angle 5 and Angle 3

e: none of the above

Answer:

So the solution to the system of equations is (x,y) = (3,-2).

Step-by-step explanation:

To solve for x and y using substitution, we can first substitute y=-2 into the second equation to find the value of x, and then use that to find y.

Starting with the second equation:

4x - 3(-2) = 18

Expanding the -3(-2) using the distributive property:

4x + 6 = 18

Subtracting 6 from both sides:

4x = 12

Dividing both sides by 4:

x = 3

Now that we have x = 3, we can substitute that back into the first equation to find y:

y = -2

So the solution to the system of equations is (x,y) = (3,-2).

The frequency table is:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The frequency table determines the frequency of the data. In other words, it tells us how many times the same data is repeated.

The given data set is, 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15, 12, 14, 14, 10, 14, 13, 15

The frequency table can be written as:-

Data        Frequency

10             1

11              2

12             2

13             4

14             6

15             5

The distribution's shape for the next data set you provided is left- or negatively skewed. This is due to the fact that as a number's value increases, so does its frequency.

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The value of x in the triangle is 8 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, the sides x of the triangle can be found using proportion as follows:

x / x + 8 = x + 8 / 32

cross multiply

32x = (x + 8)(x + 8)

32x = x² + 8x + 8x + 64

x² + 16x - 32x + 64 = 0

x² - 16x + 64 = 0

Therefore,

x² - 16x + 64 = 0

x² - 8x - 8x + 64 = 0

x(x - 8) - 8(x - 8) = 0

(x - 8)(x - 8) = 0

Therefore,

x = 8

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Turning 180° counterclockwise is essentially the same thing as a horizontal flip about the y axis.

That means C will find itself on the opposite side of the x axis, with negative inputs. However, it is still above the x axis, so it will have a positive y coordinate.

Your answer should be (-3,1)

Answer:

c

Step-by-step explanation:

trust me

 The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

The number of solutions for a system of linear equations depends on the relationship between the slopes and y-intercepts of the lines represented by the equations. If the lines are intersecting, then there is exactly one solution where the lines cross. If the lines are parallel, then there are no solutions, as the lines will never intersect.

If the lines are coincident, then there are infinitely many solutions, as the lines represent the same line.

Therefore,  The slopes and y-intercepts can be used to determine the type of relationship between the lines, and therefore the number of solutions.

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The angle of depression from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.

The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.

If the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too.

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WE CAN USE THE GRAPH THAG CA HELP US IN THE PROBLEM

The sum of the measures of angles A, D, and F is:

A + D + F = 360°

First, we know that the sum of the interior angles of any triangle is always equal to 180°, then we can write:

B + C + E = 180°

We also can see that:

A + B = 180°

C + D = 180°

E + F = 180°

Then we can rewrite:

E = 180° - F

C = 180° - D

B = 180° - A

And replace that on the equation above:

B + C + E = 180°

( 180° - F) + (180° - D) + (180° - A) = 180°

Moving the variables to the right side we will get:

3*180° = 180° + A + D + F

3*180° - 180° = A + D + F

360° =  A + D + F

That is the sum of the 3 measures.

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Answer:

C

Step-by-step explanation:

Plug (5, -2) into the equation

2(5) - (-2) =

10 + 2 =

12

C is the answer

(5, -2) is the answer

The number of boards Mr.Kazoo should buy is given by the equation A = 6

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of boards Mr.Kazoo should buy be A

The total length of the board = 40 inches

The length of each board = 7 inches

So , the number of boards = total length / length of each board

Substituting the values in the equation , we get

The number of boards A = 40 / 7

The number of boards A = 5.71

The number of boards A = 6 boards

Hence , the number of boards is 6

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The expression is there are 2 chocolates and 5 lollypops having a total cost of $5. The expression is 2C + 5L = $5.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Suppose the real-time situation is if there are 2 chocolates and 5 lollypops having a total cost of $5.

The mathematical form of the expression can be written as:-

2C + 5L = 5

Here, C is the cost per chocolate and L is the cost of per Lollypop.

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The complete question is given below.

Write the expression if there are 2 chocolates and 5 lollypops having a total cost of $5.

The triangles ΔIGH and ΔGFE are similar triangles. So, GJ / GE = HG / FG, then the side FE is parallel to the side HI.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the corresponding sides will be constant then the triangles will be similar triangles and the third sides of the triangles will be parallel.

GJ / GH = GK / GI, then the side KJ is parallel to the side HI.

In triangles ΔIGH and ΔGFE, then we have

∠IGH = ∠FGE        (Vertival angle)

∠1 = ∠2                         (Given)

Then the triangles ΔIGH and ΔGFE are similar triangles. Then we have

GJ / GE = HG / FG, then the side FE is parallel to the side HI.

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Answer as a mixed number =  1   1/8  mph

Answer as a decimal = 1.125 mph

Work Shown:

(3/4) of a mile : (2/3) of an hour

12*(3/4) of a mile : 12*(2/3) of an hour

9 miles : 8 hours

9/8 miles : 8/8 hours

1.125 miles : 1 hour

His speed is 1.125 miles per hour. This converts to the mixed number 1 1/8

Answer: The value of the sum of x and y is (a) 144.

Step-by-step explanation:

Given, The sequence is a Geometric Sequence.

Initially,

=> 4x3 , x , y , 324, 324x3

=> 4x3, x, y, 4x3x3x3x3, 4x3x3x3x3x3

From above,

We can deduce that,

=> x = 4 x 3 x 3

=> x = 36

Also,

=> y = 4 x 3 x 3 x 3

=> y = 108

The values of x and y are 36 and 108

Now, We can evaluate the sum of x and y,

=> x + y = 36 + 108

=> x + y = 144

Therefore, The sum of x and y is 144. Hence, option (a) is correct.

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The equivalent expression in expanded form of given function is -4x/4-4*3/4.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We are given;

The expression of the function

=-1/4(-8x+12)

Now, to expand we take 4 common

=-1/4(-8x+12)

=-4/4(-1x+3)

=-4x/4-4*3/4

Therefore, the expression in expanded form will be -4x/4-4*3/4

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Answer: A=71°

Step-by-step explanation:

A+B+C=180°

A+38°+C=180°

A+C=180°-38°

A+C=142°

142°/2=71°

∴A=71°

∴C=71°

The probability of drawing a black card in a standard deck of 52 cards is 1/2.

Probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1. There are total 52 cards out of which 26 are black cards and 26 are red cards.

There are 26 black cards (13 spades and 13 clubs) in a standard deck of 52 cards.

Therefore, the probability of drawing a black card from a standard deck of 52 cards is 26/52.

Probability = 26/52 = 1/2

So, the probability of drawing a black card is 1/2.

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Answer:

Step-by-step explanation:

time take for 1 dough = 16kg/4hours= 4kg/hour

Dough in 5 hours = 4 x 5 = 20

She prepared 20kilograms of dough in 5 hours