Jacob earned $80 babysitting and deposited the money into his saving account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob's savings account balance.

Answers

Answer 1

Answer:

Net change in money: decrease of $5

Step-by-step explanation:

supposing Jacob started with x dollars:

He gained $80 from babysitting: x+80

Lost 85: x + 80 - 85

--> x - 5

Therefore, at the end of the week, Jacob lost 5 dollars


Related Questions

Can you help with this please and also explain?

Answers

Answer:

avocado=4

Step-by-step explanation:

Hi there!

We are given the following equations:

snail + snail - cellphone=avocado

maple leaf  * cellphone=10

0+maple leaf=5

snail = cellphone + 1

avocado=?

This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others

For example, we have the equation 0 + maple leaf= 5

Which means if we subtract 0 from both sides, we should get the value of the maple leaf

Which means that the maple leaf= 5

Now we know that maple leaf * cellphone = 10

So that means 5*cellphone=10

Divide by 5 on both sides

cellphone= 2

We know that snail = cellphone + 1

As we learned from above, cellphone= 2

Which means that snail = 2+1=3

We know that snail + snail - cellphone = avocado

And as calculated from above, snail = 3 and cellphone = 2

Which means:

3 + 3 - 2= avocado

Add

6-2=avocado

Subtract

4=avocado

Hope this helps!

A map in a particular city shows that a city block to be a rectangle that is 264 feet wide and 900 feet long. If a person was to walk from the top left corner to the lower right corner along the diagonal of the block, they would walk approximately _____. Round your answer to the nearest whole foot. Enter only the number.

Answers

Answer:

1164

Step-by-step explanation:

The person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

What is Pythagoras's theorem?

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the given figure, the length of the hypotenuse is the distance the person would walk, and the lengths of the other two sides are 264 feet and 900 feet.

Using the formula for the Pythagorean theorem, we can set up the following equation:

c² = a² + b²

where c is the length of the hypotenuse, a is the length of one of the other sides, and b is the length of the remaining side.

In this case, we can substitute the known values for a, b, and c to get:

c² = 264² + 900²

c² = 69696 + 810000

c² = 879696

c = √879696

c = 937.92110

Rounded to the nearest whole foot.

c = 938 feet

Thus, the person would walk approximately 938 feet from the top left corner to the lower right corner of the city block.

Learn more about Pythagoras's theorem here:

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What is the range of function represented by the graph below?

Answers

Answer:

y ≥ 0

Step-by-step explanation:

The range of the function is the output values.

The y value goes from 0 to infinity

y ≥ 0

THIS IS SO HARD HELP PLEASE

Answers

Answer:

second one: EFG NML

THIRD: 82°

Find the interior angle sum for the following polygon

Answers

Answer:

360/ 5 is the answer

Step-by-step explanation:

follow me and please follow me

Given the preimage and image, find the dilation scale factor

Answers

Answer:

2

Step-by-step explanation:

The image got bigger in size by a factor of 2

Answer:

should be 1/2 for sure. great day

graph the solution of this inequality: 4/9 x- 10 > x/3-12

Answers

Answer:

7

Step-by-step explanation:

Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)

Answers

consindering the equation ""yvariable m is the intercept ,,c constant

therefore from the equation by comparing...=mx+c where y

Given point (-6, -3) and a slope of 4, write an equation in point-slope form.

Answers

Answer:

C

Step-by-step explanation:

List the first five multiples of 6.

a )

List the first five multiples of 9.

b )

What is the Lowest Common Multiple of 6 and 9?

c)

Answers

[tex]\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}[/tex]

a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.

b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.

c]. Least common multiple (LCM) of 6 and 9 is 18.

a=6= 1,2,3,6,12

9=1,3,9,18,27

l.c.m is 1 and 3

How do I solve this problem: 6c - 8 - 2c = -16

Answers

Answer:

c = -2

Step-by-step explanation:

6c-8-2c = -16

4c -8 =-16

4c = -16 +8

4c = -8

4c/4 = -8/4

c = -2

Answred by Gauthmath

The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.

To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.

Combine like terms on the left side of the equation:

6c - 2c = 4c

The equation now becomes:

4c - 8 = -16

Take constant term on the right side of the equation by adding 8 to both sides:

4c - 8 + 8 = -16 + 8

The equation simplifies to:

4c = -8

To find the value of c, divide both sides of the equation by 4:

4c / 4 = -8 / 4

c = -2

Hence, the value of c is -2 in the equation  6c - 8 - 2c = -16.

To learn more on Equation:

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Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.

Answers

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2

I hope this helped!

Which angles are adjacent to each other?

Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8​

Answers

Answer:

Angle 8 and angle 5 are the adjacent to each other

two similar buckets hold 13/1/2 and 4 litres respectively..find the ratio of their bucket and the height of the larger bucket is 36cm find the height of the smaller bucket​

Answers

Answer:

[tex](a)\ Ratio = 13.5 : 4[/tex]

(b) The height of the smaller bucket is 10.7

Step-by-step explanation:

Given

[tex]V_L = 13\frac{1}{2}[/tex]

[tex]V_S = 4[/tex]

[tex]H_L = 36cm[/tex]

Solving (a): The ratios

This is represented as:

[tex]Ratio = V_L : V_S[/tex]

So, we have:

[tex]Ratio = 13\frac{1}{2} : 4[/tex]

Express as decimal

[tex]Ratio = 13.5 : 4[/tex]

Solving (b): The height of the smaller bucket

The ratio of the heights is:

[tex]Ratio = H_L : H_S[/tex]

So, we have:

[tex]13.5 : 4 = H_L : H_S[/tex]

Substitute known value

[tex]13.5 : 4 = 36 : H_S[/tex]

Express as fraction

[tex]4/13.5 = H_S/36[/tex]

Multiply by 36

[tex]36 * 4/13.5 = H_S[/tex]

[tex]10.7 = H_S[/tex]

[tex]H_S = 10.7[/tex]

HELP its not 64 I keep getting it wrong for some reason :(

instructions find the perimeter of the polygon ​

Answers

Answer:

Step-by-step explanation:

Starting on the left side

5 + 7  = 12

7 + 6  = 13

6 + 11 = 17

11 + 5 = 16

Total = 58

02:Posttest 2: Fractions
6.
Order the numbers from least to greatest.
63
11
3
3
80 5 20
35

Answers

3,3,5,11,20,35,63,80

6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?

Answers

Answer: -1

Step-by-step explanation:

Look at the patter it has

What is the equation of the graph

Answers

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree

Answers

Answer:

the area sector is 123.2

tìm x biết
x/7=6/-21

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] = [tex]\frac{6}{-21}[/tex] ( cross- multiply )

- 21x = 42 ( divide both sides by - 21 )

x = - 2

find the slope of a line perpendicular to y=-2/3x+4/5

Answers

The slope of a perpendicular line is just the reciprocal and opposite sign.

In this case, it’s just 3/2.

If your original slope was 2, then the slope of the perpendicular line would be -1/2.

Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)

Answers

Answer:

y = 11/5x - 32/5

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 9 / 2 - 7

-11 / -5

= 11/5

y = 11/5x + b

-2 = 11/5(2) + b

-2 = 22/5 + b

-32/5 = b

Which sequence of transformations produces R’S’T’ from RST?

On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
a 90degree clockwise rotation about the origin and then a translation 2 units left
a 90degree counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis

Answers

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

Answer:

D

Step-by-step explanation:

Took quiz

Write 9cm to 1m as a ratio

Answers

Answer:

1m=100cm

9:100

hope this helps

Answer:

9/100

Step-by-step explanation:

how many cm in a meter ?

100

so, 9 cm are 9 of 100 or 9/100

PLEASE HELP!

Simplify.

x^2-3x-10/x+3/2x^2-7x-15/x^2-9

Answers

Answer:

3rd option, x^2-x-6/2x+3

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

Simplify the expression, then we have

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]

⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]

⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x -  5)]

⇒ [(x + 2)(x - 3)] / (2x + 3)

⇒ (x² - x - 6) / (2x + 3)

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

More about the Algebra link is given below.

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Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The formula for finding the area of a pentagon(regular) given 1 side is

A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]

s (the side) = 12

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]

Area = sqrt(5(5 + 2*2.2361) * 36

Area = sqrt(5( 5 + 4.4721)) * 36

Area = sqrt(5*9.4721) * 36

Area = sqrt(47.3606) * 36

Area = 6.882 * 36

Area = 247.7485

The area of the circle = pi r*2 but we don't have r.

If you know any trig, the formula for the radius of the circle is

R = s/(2*sin(180)/n)     n = 5 because you are using a 5 sided figure.

R = 12/(2*sin(180/5)

R = 12/2* sin(36)

R = 6 / sin(36)

R = 10.207

So the area of the circle is pi * R^2

Area = 3.14 * 10.2078^2

Area = 327.1854

The area of the shaded part is the difference between the 2 areas we found

Answer: 327.1854 -  247.7485

Answer: 79.44

Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?

Answers

I think the answer is c in which graph shown in the above

Answer:

see attached, x>=1

Step-by-step explanation:

What is the length of BD?

Answers

Answer:

BD = 10 √3

Step-by-step explanation:

ABC ∆ ,

BD ÷ 20 = sin 60

BD = 20 sin 60

BD = (20 √3) / 2

= 10 √3

Elproducto de dos numeros es 880 si el multiplicando aumenta en 20 elproducto lo hace en 260 de como respuetsa la suma de ambos numeros

Answers

Answer:

[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]

Step-by-step explanation:

Los parámetros dados son;

El producto de los dos números = 880

El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880

Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;

x × y = 880

(x + 20) × y = 880 + 260

Tenemos;

(x + 20) × y = x × y + 20 × y = 880 + 260

∴ 20 × y = 260

y = 260/20 = 13

y = 13

x = 880 / y

∴ x = 880/13

La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]

In a survey, 60 people were asked:



Here are the results.



Complete the table below with the view of drawing a pie chart.

Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper

Answers

The correct Answer is B Morning Newspaper
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