Your friend and your cousin discuss measuring with a ruler. Your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter. Decide who is correct and explain your reasoning.

Answer:

so the formula for finding the n th term in a geometric sequence is :

(first term) * [tex](Common Term)^{n-1}[/tex]

therefore:

the 3 rd term will be

(-8) * (6)^2

-8 * 36

-288

Answer:

  3 and 17

Step-by-step explanation:

Let x and y represent the numbers.

  x + y = 20 . . . . . . . . the numbers add up to 20

  x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other

Substituting the second equation into the first:

  (5 +4y) +y = 20

  5y = 15 . . . . . . . . . . subtract 5

  y = 3 . . . . . . . . . . . . divide by 5

  x = 20 -3 = 17

The numbers are 17 and 3.

Step-by-step explanation:

1. 2x + 21 = 40

2x = 40 - 21

2x = 19

x = 19/2 = 9.5

2. 4x - 12 = 3x + 9

4x - 3x = 9 + 12

x = 21

3. 3x - 3 + 2 = 7x

3x - 1 = 7x

-1 = 7x - 3x

-1 = 4x

4x = -1

x = -1/4

= - 0.25

Answer:

The answer is

Step-by-step explanation:

First of all we can write the fraction as

Simplify the second fraction

That's

So we have

Next change the division sign to multiplication sign and reverse the second fraction

That's

Multiply the terms

We have the final answer as

Hope this helps you

Answer:

26 hours

Step-by-step explanation:

speed = distance/time

s = d/t

st = d

t = d/s

t = (13 km)/(0.5 km/h)

t = 26 h

Answer: 26 hours

Answer:

Step-by-step explanation:

y - 4 = -7(x - 0)

y = -7x + 4

Answer:

y=4 - [tex]\frac{2x}{3}[/tex]

Step-by-step explanation:

The value of y for 2x + 3y = 12 is (12 - 2x) / 3.

Given,

2x + 3y = 12

We will solve for y.

We will keep the like terms on one side of the equation and solve for the required variable.

Example: x + 2x + y = 3 + 2y

Solve for y:

x + 2x + y = 3 + 2y

3x = 3 + 2y - y

3x - 3 = y

3(x - 1) = y

y = 3(x - 1) is our answer.

Solve 2x + 3y = 12 for y.

We have,

2x + 3y = 12

Keep y on one side of the equation.

3y = 12 - 2x

Divide both sides by 3.

y = (12 - 2x) / 3

Thus the value of y for 2x + 3y = 12 is (12 - 2x) / 3.

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Answer:

40

Step-by-step explanation:

h(x)= 4(x + 6)

Let x=4

h(4)= 4(4 + 6)

     = 4(10)

    = 40

Answer:

D

Step-by-step explanation:

So we have the function:

[tex]h(x)=4(x+6)[/tex]

To find h(4), substitute 4 for x. Thus:

[tex]h(4)=4(4+6)[/tex]

Add within the parentheses:

[tex]h(4)=4(10)[/tex]

Multiply:

[tex]h(4)=40[/tex]

The answer is D.

And we're done!

Answer:

593

Step-by-step explanation:

when you are subtracting a negative it is the same as adding

Answer:

9

Step-by-step explanation:

used a calculator

Answer:

-4

Step-by-step explanation:

-4

Step-by-step explanation:

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Please refer to the (badly drawn, sorry) drawings.

4)

So for a horizontal distance of 80 meters, the angle of elevation is 18 degrees.  And we want to find the height.

The horizontal distance is adjacent to the angle, and the height is opposite to the angle. Thus, we can use the trigonometric ratio tangent.

Recall that tangent is:

[tex]\tan(x)=opp/adj[/tex]

Substitute 18 for x, h for opposite, and 80 for adjacent. Thus:

[tex]\tan(18)=\frac{h}{80}[/tex]

To solve for h, multiply both sides by 80:

[tex]h=80\tan(18)[/tex]

Use a calculator:

[tex]h\approx25.9938[/tex]

So, the height is approximately 26.0 feet.

5)

So, this time, we need to find the angle. We know the hypotenuse and the side adjacent to the angle. So, we can use cosine. Recall that:

[tex]\cos(x)=adj/hyp[/tex]

Substitute 1.5 for adjacent and 9 for the hypotenuse. Thus:  

[tex]\cos(x)=\frac{1.5}{9}[/tex]

Take the inverse cosine of both sides:

[tex]x=\cos^{-1}(\frac{1.5}{9})[/tex]

Use a calculator:

[tex]x\approx80.4059\textdegree\approx80\textdegree[/tex]

So, the angle is about 80 degrees.

And we're done!

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Answer:

[tex]6(4 + 3)[/tex]

Step-by-step explanation:

Given

Pencils = 4

Glue = 3

Required

Distribute these to 6 tables

Represent the pencils with P and Glue with G

The distribution to 6 tables will be:

[tex]6P + 6G[/tex]

Apply distributive property

[tex]6(P + G)[/tex]

Substitute values for P and G

[tex]6(4 + 3)[/tex]

Hence, the first option answers the question

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression when simplified is equal to 2.3684.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As per the PEMDAS, we will first solve the parenthesis. Since the round parenthesis is solved first, therefore, we can write,

90 ÷ [10 + ( 32 − 4 )]

= 90 ÷ [10 + (28)]

= 90 ÷ [10 + 28]

Solving the next parenthesis, therefore, the square brackets,

= 90 ÷ [10 + 28]

=  90 ÷ 38

At last, we will solve the division, therefore, we can write,

= 90 ÷ 38

= 2.3684

Hence, the value of the expression when simplified is equal to 2.3684.

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Answer:

gdjlicnoirfbmlyrsrloydfbm

Tenemos dos problemas de proporciones.

Las soluciones son:

A) Lamentablemente el primero está incompleto, lo reescribamos como:

"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"

Solo para mostrar la matemática que se necesita para este tipo de problemas.

La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:

p = 6/36 = 1/6

Se desperdicia 1/6 del contenido de la caja.

B) Sabemos que la pizza originalmente tiene 8 porciones.

Luego tu papá, hermano, y tía comen una porción (3 en total)

Entonces quedan: 8 - 3  = 5 porciones.

La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:

p = 5/8.

Quedan 5/8 de la pizza.

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Answer:

1. Substitute the value of f(x) into the problem. 8=3x-1.

2. Isolate the variable. Add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...

3. Continue to isolate the variable. ...

4. Simplify.

Step-by-step explanation:

This question was not written properly

Complete Question

A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of $1.50 per pizza slice. Aaliyah purchased a membership to this pizza shop , how much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

What would be the monthly cost for a slice of pizza?

Answer:

a) $34

b) $26.50

Step-by-step explanation:

From the question:

Membership for frequent buyers in a month = $25

Discount price = $1.50 per pizza slice

a) How much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

This is calculated as:

Membership cost in a month + Discount price × Number of pizzas bought

= $25 +( $1.50 × 6 slices of pizza)

= $25 + $9

= $34

b) What would be the monthly cost for a slice of pizza?

This is calculated as:

Membership cost + Discount price × Number of slices

= $25 + $1.50 × 1

= $26.50

Answer:

$712.80

Step-by-step explanation:

648×0.10=64.8

648+64.8=712.8

The total amount paid for the refrigerator is $712.8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Sale price = $648

Sales tax = 0.10 times the price

The total amount paid.

= 648 + 0.10 x 648

= 648 + 64.8

= 712.8

Thus,

The total amount paid is $712.8.

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Answer:

3/4

Step-by-step explanation:

you got to find the half of the number

Answer:

7.5

Step-by-step explanation:

Answer:

Take a look at the 'proof' below

Step-by-step explanation:

The graph of the function g(x) is similar to that of the function f(t). The local minimum, local maximum, absolute minimum, maximum etc... of 'x' is always the closest x-intercept of the graph of f(t).

Let's check if this statement is right. The two local minimum(s) of the function f(t) occurs at x = 2, and x = 6. The two local maximum(s) occur at 1/4 and 4. As you can see the maximum / minimum of the function g(x) is always an x-intercept, x = 3, x = 7.

For part (b) the absolute maximum value of the function f(t), is 8. The closest x-intercept is 9, which is our solution.

Step-by-step explanation:

From x=0 to x=1, the function is above the x-axis, so the area is positive.

From x=1 to x=5, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

From x=5 to x=9, the area above the x-axis is greater than the area below the x-axis, so the net area is positive.

Since the area increases in each interval, the area is a maximum at x=9.

Answer:

232 quarts

Step-by-step explanation:

58 quarts per 15 minutes, so 15 minutes x4 is an hour, so you would also do 58x4 which gets your answer of 232 quarts

Hope this helped :)

Answer:

15

Step-by-step explanation:

PEMDAS

7-5+14/2+6

14/2=7

7-5=2

6=6

7+2+6=15

[tex]\text {Hello! To answer this question you must...}[/tex]

[tex]\text {Subtract:}[/tex]

[tex]\text {7-5=2}[/tex]

[tex]\text {Divide:}[/tex]

[tex]\text {14/2=7}[/tex]

[tex]\text { Your new equation should be 2+7+6}[/tex]

[tex]\text {Now for the final step you add}[/tex]

[tex]\text {2+7+6=}[/tex]

[tex]\fbox {15}[/tex]

[tex]\text {Bext of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Answer:

c= (-5a-2b+32)/6

Step-by-step explanation:

this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number

Answer:

yes

Step-by-step explanation:

Answer:

(1 , -1)

Step-by-step explanation:

7( 1 ) - 3( -1 ) = 10

7 - - 3 = 10

7 + 3 = 10

10 = 10

true

Answer:

C.  81÷3

Step-by-step explanation:

We want to write a numerical expression for the phrase: "the quotient of 81 and 3"

Quotient indicates division, so we must divide 81 by 3.

81÷3

This can be further simplified, but the questions asks for a numerical expression. This is defined as an expression with numbers and at least one operation. So, B is correct, because 81 divided by 3 is 27, but it is not a numerical expression.

Therefore, the best answer choice is C.  81÷3

Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

2k+9, 2k+11, 2k+13 will yield consecutive odd integers.

k+6, k+8, k+10 will yield consecutive integers.