Miguel’s savings account balance changed by -$48 over a year because a banking fee was withdrawn every month. He wants to find the monthly change to his account.

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Answer:

Option (1)

Step-by-step explanation:

Characteristics of the graph attached,

1). Heart rates of the teenagers (0 to 20 years) varies from 112 beats per minute to 72 beats per minute.

2). Heart rates of the adults (20 years to 50 years) remains constant (72 beats per minute)

Option 1). Since average resting heart rate of the teenagers decreases from 0 to 10 years, so at the 20 years of age heart rate will be less than a teenager of 20 years.

Therefore, statement is not supported by the graph.

Option (2). A 20-year-old has the same average resting heart as at 30-year-old. [True]

Therefore, this option is supported by the graph.

Option (3). A 40-year-old may have the same average resting heart rate for 10 years.

[True]

Therefore, this statement is supported by the graph.

Option (4). The average resting heart rate for teenagers steadily decreases.

[True]. There is a linear decrease in the teenagers heart rate shown in the graph.

Therefore, the given statement is true and supported by the graph.

Option (1) will be the answer.

Answer:

D

Step-by-step explanation:

45%=[tex]\frac{45}{100}[/tex]

[tex]\frac{45}{100}[/tex] is equal to [tex]\frac{9}{20}[/tex]

so D

HOPE THIS HELPS

Answer: 9:20

Step-by-step explanation:

45% if carts used from the 100%

Ratio will be 45:100 = 9:20

Answer: 20 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the diagonal distance covered by the stairs) and a (horizontal distance) and b (vertical distance) are the other sides.  

Replacing with the values given:  

25^2 = 15^2 + b^2  

625 = 225 + b^2  

625-225 = b^2

400= b^2

√400 =b

b =20 feet

Feel free to ask for more if needed or if you did not understand something.  

Answer: 20 feet

Step-by-step explanation:

From the question, the diagonal distance covered by the stairs is 25 feet, and the horizontal distance is 15 feet. To calculate the height of the stairs, we will use the Pythagoras rule

The square of the diagonal will be equal to the addition of the square of the horizontal distance and the square of the height. This will be:

25² = 15² + height²

height² = 25² - 15²

height² = 625 - 225

height² = 400

height = ✓400

height = 20 feet

The height of the stairs is 20 feet

Answer:

Select:

11 x 3

4 x 11

5 x 11

Step-by-step explanation:

Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)

Therefore, the formulas we will need to use are:

1) for one of the rectangular faces = 11 x 3

2) for another rectangular face =  5 x 11

3) for the third  rectangular face = 4 x 11

4) for each of the triangular bases = [tex]\frac{1}{2}\, base\,*\,height=\frac{1}{2}\,*4\,*\,3[/tex]

Therefore only three formula expressions need to be selected from the given list.

Answer:

24

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.

An = A+(n-1)d

This shows that: A5 = 4+ 4(3) = 16.

Fifth term of the arithmetic sequence is 16.

"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."

Given

First term a1 = 4

Common difference d = 3

n = 5

Formula to find fifth term in the arithmetic sequence

[tex]a_{5} = a_{1} +(n-1)d[/tex]

[tex]a_{5}= 4+(5-1)3[/tex]

[tex]a_{5}= 4+(4)3[/tex]

[tex]a_{5}= 4+12[/tex]

[tex]a_{5}= 16[/tex]

Hence, fifth term of the arithmetic sequence is 16.

Learn more about arithmetic sequence here

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Answer:

20 square units

Step-by-step explanation:

Given,

CD is the base and BD is the height of the given parallelogram.

The attachment of the parallelogram has been attached.

base = CD

length of base CD = 5 - 1 = 4

∴ base= 4 units

height = BD  

length of height BD = 5

∴ height = 5 units

Area of parallelogram = base × height

∴ Area = 4 × 5 = 20 square units

Answer:

20

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

Answer:

C. 6

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.

in this question, they have given you both the difference in x and difference in y.

therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]

[tex]\frac{6}{3}[/tex]= 2

therefore, the correct slope value is A. 2

Answer:

[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]

Step-by-step explanation:

Dominique wants to buy [tex]2[/tex] liters of water.

Case 1:

A half-liter of water costs [tex]2.46[/tex].

The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply  the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:

[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]

=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $

Case 2:

A quarter-liter of water costs [tex]1.48[/tex].

The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:

[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]

=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $

Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.

=> She should buy the water, in which a​ half-liter of water costs ​$[tex]2.46[/tex]

Hope this helps!

:)

Answer: Sin 23 = 2/5

Step-by-step explanation:

If cos 67 degrees is close to 2/5. That is, approximately,

Cos 67 = 2/5

Multiply the numerator and the denominator by 50

Cos 67 = 100/250

From trigonometry ratio,

Cos Ø = adjacent/hypothenus

Where the

Adjacent length = 100 cm

Hypothenus length = 250 cm

Po = opposite length = 100cm

If the degree = 23

The closest length will be

Sin Ø = Opposite/ hypothenus

Sin 23 = 100/250

Divide both the numerator and the denominator by 50

Sin 23 = 2/5

Answer:

40 cm

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

The 4y and the -4y will always cancel each other out. This leaves us with

-12 = 14-2

or

-12 = 12

which is never true  

Answer:

A

Step-by-step explanation:

15:60

Simplify the ratio.

15/15:60/15

1:4

Answer:

1:4

Step-by-step explanation:

The answer is 1:4 because 15:60 simplified is 1:4

Answer:

360 cu in.

Step-by-step explanation:

volume = area of base * height

volume = 36 sq in. * 10 in.

volume = 360 cu in.

Answer:

no solution

Step-by-step explanation:

2x-y=7. value of y=2x+3

(insert the value of y in the first equation)

2x-(2x+3)=7

2x-2x=7-3

(2x-2x is non-existent thus the equation ends there)

Answer:

No Solution is the answer

Step-by-step explanation:

There is no way to solve this

Answer:

A

Step-by-step explanation:

Find the volume of the tank but dont use the height of the tank instead use the height of the water in the tank

Tank is cuboid in shape thus:

Volume=length xwidthxheight

=60in×24in×3in

=4320 cubic inches

note:height is the same as depth

Answer: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

[tex]y=-0.50(0)+12=12[/tex]

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

[tex]y=0.50x+12[/tex]

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

[tex]y=0.50(0)+12[/tex]

[tex]y=0+12[/tex]

[tex]y=12[/tex]

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.

Answer:

h = 5 + 1.5d

Step-by-step explanation:

Answer:

4 × 5 = 20

Step-by-step explanation:

Imagine this: the X is 4 and the Y is 5.

You want to find the area of it, so the equation would be

4 × 5 = 20

HOPE THIS WAS HELPFUL!!!!

Answer:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Answer:

It's C.

Step-by-step explanation:

I took the test

Answer:

Yes.

Step-by-step explanation:

(3x + 1)(x + 2)

= 3x^2 + 6x + x + 2

= 3x^2 + 7x + 2.

Answer:

i believe it is A because 6/2=3, 4/2=2, which gives the ratio 3/2.

Step-by-step explanation:

The ratio of the number of brooms to the number of mops is 3:2.

In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."

We have,

Number of brooms= 6

Number of mops= 4

So, the ratio of the number of brooms to the number of mops

= 6/4

=3/2

Thus, the required ratio is 3:2.

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Answer:

Angle x=19°

Angle Y=53°  hopes this helps i might be wrong idk

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19

Answer:

first 0ne

Step-by-step explanation:

Step-by-step explanation:

The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.

Answer:

D.   y+9

Step-by-step explanation:

Variable y is the number of yellow cars. There are 9 red cars.

So, find the sum, which means we will add y and 9. (We don't know the number of yellow cars)

Answer: y+9

Answer:

see explanation

Step-by-step explanation:

This is an example of the Altitude - on - Hypotenuse theorem.

The altitude that is perpendicular to the hypotenuse of a right triangle.

The two triangles formed are similar to the given triangle and to each other.

x² = (smaller part) × (larger part) of main hypotenuse

x² = 6 + 19 = 114 ( square root both sides )

x ≈ 10.68 ( nearest hundredth )

---------------------------------------------

y² = ( smaller part) × (whole part) of main hypotenuse

y² = 6 × 25 = 150 ( square root both sides )

y ≈ 12.25 ( nearest hundredth )

--------------------------------------------

z² = ( larger part) × (whole part) of main diagonal

z² = 19 × 25 = 475 ( square root both sides )

z ≈ 21.79 ( nearest hundredth )