It costs Linus a processing fee of $45 to set up a new cell phone account with AT&T plus $65 per month for the cell phone plan. His sister, Lucy, also wants to use the cell phone to call her friends each month. Lucy agrees to pay Linus $15 towards the processing fee and tells him she will pay $20 per month.

Define a variable.

Write an expression that represents how much Linus will have to pay for the cell phone if Lucy contributes.


Determine how much Linus will pay if he has the cell phone for 6 months.

Answer:

7:4 is the simplest form.

Step-by-step explanation:

total number of students is 28 and number of boys is 16 which makes the ratio 28:16

when we simplyfy it we get 7:4.

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

0.27 is greater than 0.21

hope it helps

Answer:

x = 62

Step-by-step explanation:

Since the 2 legs of the triangle are congruent, both 6 , then the triangle is isosceles and the base angles are congruent, that is

x = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62

ssssssssssssssssssssssssssshhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhStep-by-step explanation:

Answer:

divide the two numbers ignoring the decimal point and then place the decimal point in the quotient in the same position as in the dividend

Answer:

from my knowledge i have made a sample here it is:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Step-by-step explanation:

brainliest?

Answer:

r =5

Step-by-step explanation:

Answer:

17 units

Step-by-step explanation:

Distance between points [tex](a,b)\,,\,(c,d)[/tex] is given by [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

The trail starts at P(−2, 2) and goes to Q(5, 2).

Take [tex](a,b)=(-2,2)\,,\,(c,d)=(5,2)[/tex]

[tex]PQ=\sqrt{(5+2)^2+(2-2)^2}=\sqrt{7^2}=7[/tex] units

It goes from Q to R(5, −5)

Take [tex](a,b)=(5,2)\,,\,(c,d)=(5,-5)[/tex]

[tex]QR=\sqrt{(5-5)^2+(-5-2)^2}=\sqrt{(-7)^2}=7[/tex] units

It goes from R to S.

Take [tex](a,b)=(5,-5)\,,\,(c,d)=(8,-5)[/tex]

[tex]RS=\sqrt{(8-5)^2+(-5+5)^2}=\sqrt{3^2}=3[/tex] units

[tex]PQ+QR+RS=7+7+3=17[/tex] units

Answer:

n=6

Step-by-step explanation:

Answer:

The answer is A. y = arcsinx and y = arccosx

Step-by-step explanation:

Answer:

4Q a). angle1=55°

angle2=23°

angle3=63°

angle4=125°

5Q. x=35°

6Q. y=15°

8Q. C. 28°

9Q. Yes, they are congruent by S.S.S. congruence

10Q. A.A.S.

11Q. S.S.S.

12Q. Not possible

13Q. S.A.S.

14Q. S.S.S.

15Q. 66°

16Q. 24°

I hope it will be useful.

Step-by-step explanation:

7Q. angle1=angle3 (Alternate Interior Angles)

angle2=angle4 (A.I.A.)

angleXWZ=angleXYZ (opposite angles of a parallelogram)

By A.A.A. congruence criteria, they are congruent.

8Q. Hint: Make the diagram first!

AngleC is halved since M is the mid-point.

angleA=angleB (Property of an isosceles triangle)

which implies, angleAMC=angleBMC=90°

Thus, CM is perpendicular to AB.

I hope it will be useful.

Answer:

.1i01390

Step-by-step explanation:

Answer:

D. (-1, -2) and (3, 6)

Step-by-step explanation:

y = 2x

y = x² - 3

2x = x² - 3

x² -2x - 3 = 0

(x + 1)(x - 3) = 0

x = -1 or x = 3

y = -2 or y = 6

Answer:

nm/100

Step-by-step explanation:

Answer:

3.77 should be added

hope it helps.

Answer:

823/30

or 27 13/30

decimal: 27.43

Step-by-step explanation:

(25+7)+ (1/6 + 2/5)

32+ (5/30 + 12/30)

32+ 17/30

= 32 17/30

60- 32 17/30

= 1800/30 - 977/30

= 823/30

= 27 13/30

Answer:

Step-by-step explanation:

Given quadratic function is,

f(x) = -x² - x + 1

Range of the function has been defined as (-∞, [tex]\frac{5}{4}[/tex] ]

Domain of the function is a set of all real numbers.

From the graph of this function,

At x = -3 and x = 2, value of y = -5

But for one to one functions, every x value should map to a different value of y.

Therefore, function is not one to one.

Since, every value of domain (x-value) maps the range (y-value) in the given range (-∞, [tex]\frac{5}{4}[/tex] ], function will be defined as onto.

Therefore, this function is ONTO, but NOT ONE TO ONE.

Answer:

Step-by-step explanation:

Challenge # 1

Line has a negative slope with positive slope.

Therefore, equation will be,

y = 1.5x - 6

Parallel line to the given line will have same slope = 1.5 but with different y-intercept.

Equation of the parallel line → y = 1.5x + 6

Challenge # 2

Line has a negative y-intercept = -1 (Approx.)

Slope of the line = negative

Therefore, equation of the line will be,

y = -3.7x -1

Line parallel to the given line will have same slope but different y-intercept.

Equation of the parallel line → y = -3.7x + 1

Challenge # 3

Line with negative slope and no y-intercept.

y = -0.8x

Parallel line to the given line will have same slope and different y-intercept.

Equation of the parallel line → y = -0.8x + 1

Challenge # 4

Line in the graph has positive slope and negative y-intercept.

y = -5 + 4.2x

Line parallel to the given line will have same slope but different y-intercept.

Equation of the parallel line → y = - 7 + 4.2x

Answer:

x = 4 i think

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

We will use the substitution method, as the question asks for. The second equation (where x or y is isolated on one side) will be susbstituted as the x or y in the first equation.

2x-3y=-29

x+4y=13

let's isolate x onto one side in the second equation.

Subtract 4y from both sides

x=-4y+13

now we can substitute the expression as x in the first equation

2(-4y+13)-3y=-29

it's the 2nd option

Hope this helps!

-4x - 12 = 8

     + 12  +12

-4x = 20

-4     -4

x = -5

To ensure that x equals -5, let's substitute the negative integer with x.

-4 x -5 - 12 = 8

-20 - 12 = 8

8 = 8

Therefore, the answer is x = -5 because we confirmed our answer by substituting x with -5 and solving the equation and got the both sides of the equation equal.

The solution to the equation -4x - 12 = 8 is x = -5.

To solve the equation -4x - 12 = 8, we'll isolate the variable x by performing the necessary steps.

First, we'll add 12 to both sides of the equation to eliminate the constant term on the left side:

-4x - 12 + 12 = 8 + 12

This simplifies to:

-4x = 20

Next, we'll divide both sides of the equation by -4 to isolate x:

(-4x)/-4 = 20/-4

This yields:

x = -5

Hence, the solution to the equation -4x - 12 = 8 is x = -5.

By performing the necessary operations of addition, subtraction, and division, we have determined that x is equal to -5, satisfying the equation. This can be verified by substituting x = -5 back into the original equation and confirming that both sides are equal.

To learn more about the linear equation;

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Answer:

C. l = hk

Step-by-step explanation:

the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h

The length of the shadow cast l represents by situation l = hk. Hence, option (C) is correct.

An equation has a linear relation if a variable from that equation varies linearly with the other variable.

for example, x is varied linearly with y then we can write

x ∝ y

x = yk where k will be the constant of variation.

Given that length, l is varies directly as the height h

Hence, l = hk will be the correct representation.

For more information about direct variation.

https://brainly.com/question/14254277

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Answer:

a=corresponding sides of congruent triangles

b= by SAS condition ( ac=ce, acb=oce,oc=cb)

Answer:

Step-by-step explanation:

Answer:

I believe the answer is B

Step-by-step explanation:

Hope this helps :D

Answer:

5.6 brainlist plz

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

Just take the negative sign out and you have your answer, because you can't have a negative answer as a absolute value.

Hope this helps!!! :D