Peter is saving for a down payment of $50,000 for a new home. Yesterday, he created an equation that models his current savings plan to
determine how long it will take him reach his goal. In his model, y represents the total amount saved and x represents the number of months
since yesterday. Which statement is true?
Step 1:
Step 2:
30,000
Step 3:
y= 30,000 + 2,000x
y - 30,000 = 30,000 + 2,000x-
y - 30.000 = 2,000x
y - 90,000 2,000
2,000 = 2,000
Step 4:
y
- 30,000
Step 5:
2,000 = x
50,000 - 30,000
=x
2,000
Step 6:
Step 7:
10 = x
O A.
Peter used the division property of equality in step 4.
OB.
Peter used the substitution property in step 5.
C.
Peter used the subtraction property of equality in step 5.
OD. Peter used the associative property in step 6.

Answer:

10+2+0.3+0.05+0.007

Step-by-step explanation:

The number 12.357 in expanded form is written as 1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001. This represents the actual value of each digit in the number depending on its position.

The number 12.357 in expanded form is written as:

1 x 10 + 2 x 1 + 3 x 0.1 + 5 x 0.01 + 7 x 0.001.

Expanded form is a way of breaking down a number into its individual place value components. The correct intention is to show each digit's actual value, considering its position within the number. In this case, '1' is in the 'tens' place, '2' in the 'ones', '3' in the tenths', '5' in the 'hundredths' and '7' in the 'thousandths' place.

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Answer: 5 units

Step-by-step explanation:

Based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

An isosceles trapezoid is a trapezoid that has two legs that are congruent.

Therefore:

2a - 2 = a + 1

Add like terms

2a - a = 2 + 1

a = 3

XY = 3a - 4

Plug in the value of x

XY = 3(3) - 4

XY = 5 units

Therefore, based on the definition of an isosceles trapezoid, the length of XY is: 5 units.

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Answer:

The GCF of 5, 6, and 8 would be 1.

Step-by-step explanation:

To find the GCF (Greatest Common Factor) of any amount on numbers, you would find the factors of the numbers and find which is the greatest one that they have in common.

To find the GCF of 5, 6, and 8, we must first find the factors of 5, 6, and 8.

Factors of 5:  1, 5

Factors of 6:  1, 2, 3, 6

Factors of 8:  1, 2, 4, 8

Now we found the factors of 5, 6, and 8. to find the GCF, we must now find which factors they have in common.

The factors 5, 6, and 8 have in common is 1. Since they have no other factors in common, 1 would be the GCF.

The GCF of 5, 6, and 8 would be 1.

I hope this helps. :)

Final answer:

The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is 1, as it is the only common factor among all the numbers.

Explanation:

The Greatest Common Factor (GCF) of the numbers 5, 6, and 8 is found by determining the largest number that divides each of the given numbers without leaving a remainder. To find the GCF, we can list the factors of each number:

Looking at the factors, 1 is the only number that is common to all three, making it the GCF.

Hence, the GCF of 5, 6, and 8 is 1. This methodically derived GCF encapsulates the common factor that unifies the numerical trio.

Answer:

5/8

Step-by-step explanation:

1-3/8=5/8

Answer: D

Step-by-step explanation:

The claim of the student that supported should be an object along with the positive charge along with will the movement towards the negative plate.

Hence, Option D is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We know that;

In terms of physics, the charged particle refer to the particle along with an electric charge. It should be ion like molecule or atom along with a surplus or deficit of electrons with respect to the b.

Hence, In the case when the object should be considered as the positive charge should be movement towards the negative plate so the same should be considered as the student claim.

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The number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

Given:

Earnings for babysitting = $7

my Earnings for landscaping = $11

Total earnings = $96

Iet

number of hours babysitting = x

number of hours landscaping = y

y = 3 × x

y = 3x (1)

y = 3x (1)7x + 11y = 96 (2)

substitute (1) into (2)

7x + 11y = 96 (2)

7x + 11(3x) = 96

7x + 33x = 96

40x = 96

x = 96/40

x = 2.4 hours

substitute x = 2.4 into (1)

y = 3x (1)

y = 3(2.4)

y = 7.2 hours

Therefore, the number of hours Maya worked babysitting and landscaping last week is 2.4 hours and 7.2 hours respectively

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Answer:

A) 64

Step-by-step explanation:

Integral of f(x+2) is the same as integral of f(x) with limits x+2

Integral of f(x-2) is the same as integral of f(x) with limits x-2

Intrtralof 3x² is x³

3(7) - 5(2) + [4³ - 1]

21 - 20 + 63 = 64

Answer:

There are 2 fluid oz

Step-by-step explanation:

Answer:

2 fluidz

Step-by-step explanation:

Answer:

2.36 in.

Step-by-step explanation:

1 foot is equivalent to 1/80 in.

So 189 feet is equivalent to 189/80 in = 2.36 in.

Answer:

The best population for Maya's school would be all the seventh grade students at Maya's school, because that is who she wants to know how many games they play.

D. All the seventh grade students at Maya's school.

Hope this helps ;)

Answer:d

Step-by-step explanation:

The required sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum.

When adding the numbers 7 and -9, we follow the rules of addition with positive and negative numbers. To add a positive number and a negative number, we can think of it as subtraction. In this case, we have 7 + (-9), which is the same as 7 - 9.

To perform the addition, we subtract 9 from 7:

7 - 9 = -2

Therefore, the sum of 7 and -9 is -2. Adding a negative number to a positive number results in a negative sum. In this case, subtracting 9 from 7 gives us -2.

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Answer:

this method is correct because of the PEMDAS

Step-by-step explanation:

Answer:

Jenny should multiplies the base itself five times

Step-by-step explanation:

(0.2)^5 is (.02) multipled by it's self repeated for the number of exponents. Use this as a example 2^x; 2^1 = 2, 2^2 = 2*2, 2^3 = 8, and so on....

Answer:

C I took the test

Step-by-step explanation:

Answer:

x = 1.2375 or 99/90

Step-by-step explanation:

Step 1:  Distribute

21 + 40(2x - 3)

21 + 80x - 120

Step 2:  Combine like terms

21 + 80x - 120

80x - 99

Step 3:  Solve for x

80x - 99 + 99 = 0 + 99

80x / 80 = 99 / 80

x = 1.2375

Answer:  x = 1.2375 or 99/80

Answer: -99+80x

Step-by-step explanation:

remember to always use PEMDAS

First, Multiplacation

21+40(2x-3)

21+80x-120

then add 21 to 120

-99+80x

this is the farthest you can go hope i could help please mark brainliest!

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{1}{2}\cdot 2^x[/tex]

[tex]\frac{1}{2}\cdot \:2^{-2}=\frac{1}{2}\cdot \frac{1}{4}=\frac{1}{8}[/tex]

so

(x, f(x)) will be (-2, 1/8)

[tex]\frac{1}{2}\cdot \:\:2^{-1}=\frac{1}{2}\cdot \:\frac{1}{2}=\frac{1}{4}[/tex]

so

(x, f(x)) will be (-1, 1/4)

[tex]\frac{1}{2}\cdot \:2^0=\frac{1}{2}[/tex]

so

(x, f(x)) will be (0, 1/2)

[tex]\frac{1}{2}\cdot \:\:2^1=2\cdot \:\frac{1}{2}=1[/tex]

so

(x, f(x)) will be (1, 1)

[tex]\frac{1}{2}\cdot \:\:2^2=4\cdot \:\frac{1}{2}=2[/tex]

so

(x, f(x)) will be (2, 2)

The graph is also attached below.

Answer:

First of all (3x + 50) is equal to (6x - 10) so (3x + 50) = (6x - 10) 3x + 50 = 6x - 10 60 = 3x 20 = x

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3x + 50)(6x + -10) = 0

Reorder the terms:

(50 + 3x)(6x + -10) = 0

Reorder the terms:

(50 + 3x)(-10 + 6x) = 0

Multiply (50 + 3x) * (-10 + 6x)

(50(-10 + 6x) + 3x * (-10 + 6x)) = 0

((-10 * 50 + 6x * 50) + 3x * (-10 + 6x)) = 0

((-500 + 300x) + 3x * (-10 + 6x)) = 0

(-500 + 300x + (-10 * 3x + 6x * 3x)) = 0

(-500 + 300x + (-30x + 18x2)) = 0

Combine like terms: 300x + -30x = 270x

(-500 + 270x + 18x2) = 0

Solving

-500 + 270x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.

2(-250 + 135x + 9x2) = 0

Factor a trinomial.

2((-50 + -3x)(5 + -3x)) = 0

The value of x is 4. So 40000 mg= 40 g.

Step-by-step explanation:

      The given is 40000mg = 10x g

Step:1

      Take given equation as equation (1)

                     40000 mg= 10x g.................(1)

      where, X is known value.

Step:2

      Standard value for mg to g for the purpose of conversion of units,

                      1 milligram = 0.001 gram   (or)

                      1 gram = 1000 milligram

Step:3

      From the standard data values,

                    = 40000 mg

      it converted mg to g by dividing 1000

                    = [tex]\frac{40000}{1000}[/tex] g

                    = 40 g.......................(2)

Step:4

       From the Equations (1) and (2),

                 40=10x

                  x=4

Result:

       The value of x is 4. So, 40000mg = 40 g.

Answer:

48 inches

Step-by-step explanation:

1 in = 3 ft

144/3=48

Answer:

the answer is a

Step-by-step explanation:

Answer:

The diameter of the bacterium is 10 times greater than that of the virus.

Step-by-step explanation:

I just took quiz in edge

Answer:y=3x+6

Step-by-step explanation:

Answer: Good question, ill answer in the comments

Step-by-step explanation:

Answer:

money problems

Step-by-step explanation:

let's say your in accounted and the most you've made a week is 150 the inequality would be

ñ<150

Answer:

Plug in the Quadratic formula

Step-by-step explanation:

Answer:

the correct answer is 5.4

Answer:

2

Step-by-step explanation:

Step 1:  Add the numbers together

1 + 1

2

Answer:  2

Answer:

Step-by-step explanation:

Given that the system of equations [tex]y=-8x-6\hfill (1)[/tex] and

[tex]y=8x-6\hfill (2)[/tex] has exactly one solution

[tex]y=-8x-6[/tex]

[tex]y=8x-6[/tex]

______________

[tex]2y=0-12[/tex]

[tex]y=-\frac{12}{2}[/tex]

[tex]=-6[/tex]

[tex]-6=-8x-6[/tex]

[tex]-8x-6+6=0[/tex]

[tex]-8x+0=0[/tex]

[tex]-8x=0[/tex]

[tex]x=-\frac{0}{8}[/tex]

[tex]=0[/tex]

Therefore the value of x is x=0

Answer:

y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

If a magazine contains thirteen pages, it means that the pages are numbered from 1 to 13. When you open the magazine to a random page, there are two possibilities for the page number: it can either be two or ten.

Page number in a magazine

In the context of a magazine, the page number refers to the physical numbering of the pages within the publication.

The page number is typically printed near the top or bottom of each page, allowing readers to navigate through the content.

In this case, if you randomly open the magazine to page two, you will find the content printed on that page. Similarly, if you randomly open the magazine to page ten, you will find different content printed on that page.

Answer:

Step-by-step explanation:

VC = (1/3)·pi·r2·h

VC = volume of a cone

r = radius of base of cone = 6 cm

h = height

VC = (1/3)·pi·62·h

VC = 12·pi·h

VS = (4/3)·pi·r3

VS = volume of a sphere

r = radius of base of sphere = 3 cm

VS = (4/3)·pi·33

VS = 36·pi

Since the volume of the cone and the sphere are equal:

VC = VS

12·pi·h = 36·pi

Solve for h.

Answer:

x = 1

Step-by-step explanation:

20-2 = 18, now -3x = 15