Steven wants to buy a $590 bicycle. Steven has no money saved, but will be able to deposit $50 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $60 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answer:

36UNITS

Step-by-step explanation:

If point V lies between U and W, then UV+VW = UW

given parameters

UV = 2x-4

VW = 4x+10

UW = 9x-9

Substituting the given functions in the formula first, we will have;

2x-4+4x+10 = 9x-9

6x+6 = 9x-9

Collect like terms

6x-9x = -9-6

-3x = -15

x = -15/-3

x = 5

Substitute x = 5 into UW.

Since UW = 9x-9

UW = 9(5)-9

UW = 45-9

UW = 36

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Here is a system of linear equations:

⇒ 6x + 21y = 103

⇒ -6x + 23y = 51

Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.

⇒ 44y = 154

⇒ y = 3.5

Substitute the value of y = 3.5 in the equation 6x + 21y = 103

⇒ 6x + 21(3.5) = 103

⇒ 6x + 73.50 = 103

⇒ 6x = 103 - 73.50

⇒ 6x = 29.50

⇒ x = 4.92

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Answer:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Step-by-step explanation:

i googled it

Answer:

1,298

Step-by-step explanation:

Step 1:

1,278 + 20

Answer:

1,298

Hope This Helps :)

Answer:

1298

Step-by-step explanation:

20+1278=1298

Answer:

hope it helps

plz mark as brainliest

Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

"To understand the calculation, check below."

Midpoint

The middle point of the a line segment is called the midpoint.

It's really the centroid of both segment and the ends, and it is equidistant from both.

It cuts the portion in half.

[tex]B[/tex] is the midpoint of [tex]

AC[/tex] [tex]\boldsymbol{AB=BC}[/tex][tex]3x-1=x+7[/tex] [tex]2x

AC=8[/tex] [tex]\boldsymbol{x=4}[/tex]

So,[tex]BC=4+7[/tex] [tex]=\boldsymbol{11}[/tex]

Therefore,[tex]AC=2BC[/tex] [tex]=2 \times 11\\=\boldsymbol{22}[/tex]Length of [tex]\boldsymbol{AC}[/tex] is [tex]\boldsymbol{22}[/tex] units.

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Answer:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3^{1-x}+3^{1+x}=90[/tex]

First, note that this is the same as:

[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]

Factor out a 3:

[tex]3(3^{-x}+3^{x})=90[/tex]

Divide both sides by 3:

[tex]3^{-x}+3^x=30[/tex]

Change the negative exponent into a fraction:

[tex]\frac{1}{3^x}+3^x=30[/tex]

Multiply both sides by 3^x:

[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]

Distribute:

[tex](1)+(3^x)^2=30(3^x)[/tex]

Let u equal 3^x. So:

[tex]1+u^2=30u[/tex]

Subtract 30u from both sides:

[tex]u^2-30u+1=0[/tex]

This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:

[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute:

[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]

Simplify:

[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]

Subtract:

[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]

Simplify:

[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]

Simplify:

[tex]u=15\pm 4\sqrt{14}[/tex]

Substitute back u:

[tex]3^x=15\pm 4\sqrt{14}[/tex]

Take the log to base 3 of both sides:

[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]

The left side cancels:

[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]

So, our solutions are:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

And we're done!

Answer:

C. reflection across the x-axis

Answer:

C

Step-by-step explanation:

This is a reflection across the x-axis because it is the same thing but reflected.

Hope this helps.

Answer

Hi mate,

Divided=divisor*quotient+remainder

19346=x*841+3

19346-3=841x

19343/841=x

x=23

Hope this helps u

Mark me as brainliest

Step-by-step explanation:

Answer:

a+62=65

Step-by-step explanation:

if a=3 then 62+3=65

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

Answer:

266

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

-2y +3 = 8y -7

-10y = -10

y = 1

Answer:

No

Step-by-step explanation:

The literal equation a = 3b + 4c - a contain "a" on the right side so it is not solved for a.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

If we solve any equation for x then

x = f(other than x)

For example

x + 2x + 3y = 4

Solve for x will be

3x + 3y = 4

x = (4 - 3y)/3 so on right-hand side no x term is present.

Given the equation,

a = 3b + 4c - a

The right-hand side has termed "a" so it is not solved for a.

Hence "The literal equation a = 3b + 4c - a contain "a" on the right side so it is not solved for a".

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Answer: There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.

(FULL CREDIT TO maksimylian, I DID NOT WRITE THIS ANSWER)

Answer:

Randomly surveying 50 girls would most likely bring non-seventh-graders into the sample.

The sample also does not take any boys into account, and they most likely make up about half of the seventh-grade population.

The results would not be a representative sample of the population.

Step-by-step explanation:

From edge

Answer:

t=9

Step-by-step explanation:

Move all terms that don't contain

t to the right side and solve.t=9

Answer:

t=9

Step-by-step explanation:

48=4t+12

Subtract 12 in both sides

36=4t

Divide 4 both sides

9=t

t=9

Answer:

MP= (7.5,2) or another way of it [tex]MP= (\frac{15}{2},2 )[/tex]

Step-by-step explanation:

Midpoint formula: [tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} )[/tex]

[tex]MP= (\frac{6+9}{2}),(\frac{-1+5}{2} )[/tex] 6+9=15  -1+5=4

[tex]MP= (\frac{15}{2}),(\frac{4}{2} )[/tex] 15/2=7.5 4/2=2

[tex]MP= (7.5,2)[/tex]

Answer:

ii) curved surface area =2 pie rh

2*22/7*14*21

1548 cm2

iii) total surface area=2 pie r(r+h)

2*22/7*14(14+21)

2780

iv) volume of cylinder=pie r2h

22/7*14*14*21

12936 ans

Step-by-step explanation:

Answer:

As = 2112 cm²

Step-by-step explanation:

given:

A cylinder has a circular base radius 14cm and height of 10cm.

find:

the total surface area of the cylinder. [take pie 22/7] *​

solution:

surface area (As) = 2πrh + 2πr²

where r = 14 cm;    h = 10 cm;   π = 22/7

plugin values into the formula:

As = 2 (22/7) 14 (10) + 2 (22/7) 14²

As = 880 + 1232

As = 2112 cm²

Answer:

rational

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

125/2.5=50

50x3 =150

Answer:

150

Step-by-step explanation:

I took the Practice/Instruction :)

Answer:

0.07

Step-by-step explanation:

Answer:

[tex] m\angle L = 111\degree \\

m\angle M = 69\degree [/tex]

Step-by-step explanation:

Since, angle L and angle M are supplementary.

[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]

Answer:

[tex]\frac{-7}{24}[/tex]=r

Step-by-step explanation:

3÷8=r+2÷3

[tex]\frac{3}{8}[/tex]=r+[tex]\frac{2}{3}[/tex]

[tex]\frac{3}{8}[/tex]-[tex]\frac{2}{3}[/tex]=r

(make the denominators same)(LCM of 8 and 3=24)

[tex]\frac{3}{8}[/tex]([tex]\frac{3}{3}[/tex])+[tex]\frac{2}{3}[/tex]([tex]\frac{8}{8}[/tex])=r

[tex]\frac{9}{24}[/tex]-[tex]\frac{16}{24}[/tex]=r

[tex]\frac{9-16}{24}[/tex]=r

[tex]\frac{-7}{24}[/tex]=r

Answer:

Two.

Step-by-step explanation:

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.

3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.

Answer:

if line segement XY is congruent to line segment MN, the line segemnt MN is congruent to line segment XY

Step-by-step explanation:

:)

Answer:

x = 15

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in the values of x and y to find k

y = kx

104 = k(8)

13 = k

So, the direct variation equation will be y = 13x

Plug in 195 as y to find x

y = 13x

195 = 13x

15 = x

So, x = 15 when y = 195

As The value of y varies directly with x, when y = 195, x will be 15.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The value of y varies directly with x.

∴ y = kx.

If x = 8, then y = 104.

104 = 8k.

k = 104/8.

k = 13.                                  (constant of proportionality)

Now,  y =195.

∴ 195 = 13x.

x = 195/13.

x = 15

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Answer:FH = 12

Step-by-step explanation: