On the first day of the year you have $700 in your bank account you spend $35 per week your friend starts the year with 450 in his bank account he said to $15 per week solve the equation 700-35W equals 450+15 W to find out how many weeks W it will take for you and your friend to have the same amount of money in your bank account

Answers

Answer 1

700 - 35W = 450 + 15W
+35W +35W
700 = 450 + 50W
-450 -450
350 = 50W

7 = W

It will take 7 weeks for their bank accounts to be the same.

Answer 2

Put the two expressions 700-35w and 450+15w on either side of an equal sign. Solve.
Hope this helps!

Related Questions

What is likely to happen if a new aggregate demand curve moves to the right?

Answers

If the aggregate demand curve shifts to the right it refers to the increase in total quantity of the demanded goods and services. It also signifies economic expansion. If there are also new fiscal policies, then there will also be an increase in aggregate demand.

Answer:

Prices and output would rise, and the equilibrium point will change.

Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12

Answers

Adjacent angles are angles that are side by side (right next to each other). They share a side. #7 and 11 are pairs of adjacent angles.

Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.

#10 and 12 do not fit either of these descriptions so they are neither.

Determine the factors of ax + ab + 2by + 2xy.

Answers

ax + ab + 2by + 2xy =(ax + ab) + (2by + 2xy)=

=a(x+b) + 2y(x+b) =(x+b)(a+2y)

ax + ab + 2by + 2xy = (x+b)(a+2y)

Answer: (x+b) (a+2y)

Step-by-step explanation:

ax+ab+2by+2xy

split the equatuion in half

1. ax+ab 2. 2by+2xy

gcf=a gcf=2y

ax/a=x 2by/2y= b

ab/a=b 2xy/2y= x

a(x+b) 2y(x+b)

Answer :(x+b)(a+2y)

Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational

Answers

I believe the answer is A

Answer: A.) Point.

Step-by-step explanation:

what type of transformation could be used to create a symmetric traffic sign

Answers

it's (B) reflection here is the picture

how far is the ship from the lighthouse?

Answers

the formula for the Pythagorean theorem is:
a^2 + b^2 = x^2

so in this case,
d^2 = 8^2 + 6^2
d^2 = 64 + 36
d^2 = 100
d = square root of 100
d = 10 miles

I hope this helps :)

A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?

Answers

Box 1: 525 cubic inches Box 2: 581.625 cubic inches

What is the value of X 56•

Answers

The value of x is 68 degrees. This is because a triangle equals 180 in whole and the two bottom angles are equal. 180 - 56 - 56 = 68

The measure of angle x in the isosceles triangle is 68 degrees.

The correct option is 68°.

What is the measure of angle x?

The figure in the image is an isosceles triangle.

An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.

From the diagram;

Since the triangle is an isosceles triangle:

Angle 1 = 56 degrees

Angle 2 = 56 dgerees

Angle 3 = x

Note that the sum of the interior angle of a triangle adds up to 180 degree.

Hence;

Angle 1 + Angle 2 + Angle 3 = 180

56 + 56 + x = 180

Solve for x

112 + x = 180

x = 180 - 112

x = 68 degrees

Therefore, x has a value of 68 degree.

Learn more about isosceles triangle here: https://brainly.com/question/28412104

#SPJ3

HELP ASAP!

The diagram below gives the dimensions of a swimming pool.

THESE ARE NOT ANSWERS!

(a) What is the total area of the swimming pool? Explain your reasoning.
(b) What is the perimeter of the swimming pool? Explain your reasoning.

Answers

Area of rectangle = 36 x 20 = 720 ft^2

Perimeter of rectangle = 2(36 + 20) = 112 ft

Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2

Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft

(a) What is the total area of the swimming pool? Explain your reasoning.

area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2

answer:
area of the swimming pool = 577.13 ft^2

--------------------------------------------------------------------------
(b) What is the perimeter of the swimming pool? Explain your reasoning.
perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft

answer
perimeter of the swimming pool = 55.48 ft

Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.

If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?

–1.76
–0.63
0.63
1.76

Answers

It appears either the teacher provided the calculator result or you did so yourself. Either way, the regression equation is approximately y = 0.628x + 1.759

The equation is in slope intercept form y = mx+b
m = slope = 0.628
b = y intercept = 1.759

The value 1.759 rounds to 1.76 which is the answer

1.76 is the answer
:)

the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?

Answers

Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

Write 9x+35=-5y in Slope-Intercept form

Answers

Slope intercept looks like this:
y = ax + c
So:
-5y = 9x + 35
We need to isolate y, so divide both sides by -5:
y = - [tex] \frac{9}{5} [/tex]x - 7

To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.

9x + 35 = -5y

First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.

5y + 9x + 35 = 0

Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.

5y + 35 = -9x

After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.

5y = -9x - 35

Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.

y = -9/5x - 7

Therefore, your answer y = -9/5x -7.

Hope this helps!

Find P(C|Y) from the information in the table.

To the nearest tenth, P(C|Y) =

Answers

From the definition of conditional probability,

[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]

and by the law of total probability,

[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]

In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,

[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]

Answer:0.5

Step-by-step explanation:

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle?

Answers

First let's find the area of the original rectangle:
12*5 = 60
Now for the new triangle:
1.25(12) * (1-0.2)(5)
15 * 4 = 60
There is no change in the rectangle.

The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?

Answers

The standard deviation is 3.

The formula for a z-score is

z = (X-μ)/σ

Using our information, we have

-1.7 = (13-18.1)/σ

Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1

Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3

evaluate ab for a = 2 3/4 and b = 4/5

Answers

Saying ab in Algebra means a×b.
So, you're multiplying 2[tex] \frac{3}{4} [/tex] to [tex] \frac{4}{5} [/tex].
But, the mixed number is best as a mixed number, so it becomes [tex] \frac{11}{4} [/tex]
So, this happens to become [tex] \frac{11*4}{4*5} [/tex], multiplying to [tex] \frac{44}{20} [/tex].
BUT, you need to simplify it!
The simplest form is [tex] \frac{11}{5} [/tex], which is your answer.
Have a nice day! ♪

Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5

Answers

x = 17.5

Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.

Here's how you solve it:

You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)

Substitute each factor so that the equation now appears as so:

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)

This will give you: h = 11.67

Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)

This will then give you:

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

Because you now know the angles of S and T, you need to use the law of sin again.

t over sin (T) = s over sin (S)

t = 10 + x
s = 8 + 18 = 22

Thus, you need to substitute the variables to get this equation:

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

Thus, getting the answer of x = 17.50

Answer: x = 17.5

Step-by-step explanation:

You're using interior angles

Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

t over sin (T) = s over sin (S)

t = 10 + x

s = 8 + 18 = 22

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

the answer of x = 17.50

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.

Answers

Final answer:

Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.

Explanation:

This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.

Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.

Learn more about Circle's area here:

https://brainly.com/question/28642423

#SPJ12

Need help with this one

Answers

Multiply 5 by 3 and get 15.4 + 15 = 19

That's cake! You have to multiply 3 by 5 to get 15. Then you add that to 4 and viola! 19! :3

Which table shows the relationship y=-3x+2?

Answers

Table D, because: -3×(-1)+2=5, -3×0+2=2, -3×1+2=-1, -3×2+2=-4.

how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]

Answers

Put the terms in order of decreasing degree, all on the left. When convenient, it is nice to have mutually prime integer coefficients with the leading one positive.

a) x² -2x +1 = 0

b) x² +15 = 0

c) 4x² -12 = 0
or, better, divide out the common factor of 4.
x² -3 = 0

d) 3x² -x -5 = 0

_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.

the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.

Answers

While I cannot see your answer choices, the correct answer would be one that has a coefficient that is a multiple of 3 and has an x raised to an exponent of no more than 2. It could have any other variables in it.

The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.

Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.

Final answer:

The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.

Explanation:

The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.

An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.

What is the value of X 56•

Answers

Your Answer Is B) 68 Hoped This Helped!!!

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3

Answers

we know that
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in

[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³

the answer is
5.23 in.3

To find the volume of the cone, you will use the formula for the volume of a cone and replace the r(radius and the h(height) with the given values.

V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 1^2 x 5
V = 5.2281

The volume is approximately 5.23 cubic inches.

What is the exact volume of the sphere?

A. 56.3¯π ft³

B. 274.625π ft³

C. 366.16¯π ft³

D. 1464.6¯π ft³

Answers

the correct answer is C.

Answer:

366.16

Step-by-step explanation:

use the formula v=4/3r3

6.5 to the third power

multiply by 4/3

you get 366.16π ft³

PLEASE help!!! what is 4y + 12x= 24 in y intercept form????

Answers

4y + 12x = 24
Solve for y. Subtract 12x from both sides.

4y = 24 - 12x
Divide both sides by 4.

y = 6 - 3x

Y=3x+6. Subtract over the 12x then divide by 4 to get the answer

Please answer the picture.

Answers

I hope that helps. Feel free to message me anytime if you need more help

The graph below represents which system of inequalities?

Option A

y > 2x − 3

y > −x − 3

Option B

y < 2x − 2

y < −x + 3

Option C

y ≤ 2x − 2

y > −x + 3

Option D

None of the above

Answers

I don’t know the graph

William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.

Answers

T=total

T = 6(4) + 54
William had 78 at the start

Reply if you need more help!

I dont know this one!

Find the slope of the line that passes through each pair of points.

1. (5,2),(3,1)

2.(-7,4),(-5,0)

Answers

1. (1-2)/(3-5) = (-1)/(-2) = 1/2

2. (0-4)/(-5-7) = (-4)/(-12) = 1/3

To find the slope you’d do the second y-value minus the first y-value over the second x-value minus the first x-value.

Other Questions

HELP ME PLEASE! I DONT GET IT In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing? ) determine the theoretical yield and the percent yield if 21.8 g of k2co3 is produced from reacting 27.9 g ko2 with 29.0 l of co2 (at stp). the molar mass of ko2 = 71.10 g/mol and k2co3 = 138.21 g/mol. House of representatives passes a spending bill senate debates the spending bill senate passes the spending bill ? what completes this sequence of events? Q # 8 Solve the graph please 4.63 clark's country pet resort is fencing a new play area for dogs. the manager has purchased 130 yd of fence to enclose a rectangular pen. the area of the pen must be 1050 ydsquared. what are the dimensions of the pen? Referent power is a function of a person's job title. the punishment a person can impose. a person's intelligence. the degree to which a person is respected. how did slavery and Western lands cause sectionalism to increase It has been claimed that going into space is important for scientific development. Is that true? What scientific breakthroughs have come about through the space programs? Before the pioneers came, the Utes occupied: all of what is now Utah. nearly half the land in Utah. a small amount of land in Utah. no land in Utah. Which event of the 1950s most likely led to the publication of this cartoon? Find the area. The figure is not drawn to scale At a local burger chain, a customer became extremely angry. Everyone took notice at the person, who was yelling at anyone he could. Donald, the branch manager, politely approached the customer and quickly defused the situation. What type of skills did Donald display? what is 6.4 4.6272 A cube that has side lengths measuring 7 inches The map shows the prevalence of food insecurity in the United States.According to the map, which states have an above-average prevalence of food insecurity?Arkansas (AR), Maine (ME), Kentucky (KY)Florida (FL), California (CA), New York (NY)Wisconsin (WI), Vermont (VT), North Dakota (ND)South Dakota (SD), New Hampshire (NH), Alaska (AK) So I need help.If I were to be sending a letter 1oz or less to Australia, what would I have to do? I got stamps. Do I just put it in the mailbox with the stamps and the Addresses?I'm so confused.(We had to write a letter to someone that we love/care for in English class and my person happens to be in Australia.) The distance between two consecutive crests is 2.5 meters. Which characteristic of the wave does this distance represent?amplitudefrequencyperiodwavelengthphase how does wilbur escape from his pen? The diagram shown above, illustrates the _______ cycle. A)carbon B)nitrogen C)phosphorus D)water