Kendall bought 6 notbooks and 3 pens for a total of $27. The cost of one notebook is $1.50 more than the cost of one pen. What is the combined cost of one notebook and one pen?

Answer:

Spelling word questions = 10

vocabulary word questions = 16

Step-by-step explanation:

Let

Spelling word questions = x

vocabulary word questions = y

Total points = 100

Total questions = 26

x + y = 26 (1)

2x + 5y = 100 (2)

From (1)

x = 26 - y

Substitute x = 26 - y into

2x + 5y = 100

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

- 2y + 5y = 100 - 52

3y = 48

y = 48 / 3

= 16

y = 16

Substitute y = 16 into

x + y = 26

x + 16 = 26

x = 26 - 16

= 10

x = 10

Spelling word questions = 10

vocabulary word questions = 16

Answer:

5

if you wrote the second term in mixed fraction!

or,

7/2 , if you wrote it as a product.

Answer:

5

Step-by-step explanation:

Answer:

A^2+B^2= C^2 or A+B=C

Step-by-step explanation:

Hope this helps

Answer:

Answer is 4x - 15......

Answer:

4x-15

Step-by-step explanation:

4x-15 is the answer

Answer:

y+8=-5(x-3)

Step-by-step explanation:

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

y+8=-5(x-3) is the final answer!!

Hope that helps you!! Please give me brainliest!!

Answer:

She will need to pay $320 for 24 appetizers.

Step-by-step explanation:

If there are 3 appetizers offered at around $40 and she is paying $320 for it, then she can pay up to 8 times in which she will have 24 appetizers at her wedding as a result.

Answer:

8x^2 = 5

x^2 = 5/8

x = sqrt(5/8)

x = sqrt(40)/8

x = 4(sqrt 10)/8

x = + sqrt 10/2

Step-by-step explanation:

Answer:

Brandon is 7 years old

Step-by-step explanation:

(27 - 6) / 3 = 7

27 = Sam's age

6 = years greater compared to/than means subtraction

3 =  times greater compared to/than means divion.

27 - 6 is in parentheses because it must be done first.

Please give brainlyest

Have a nice day

;)

Answer:

Step-by-step explanation:

-5x - 4y = 2a                         4x - 5y = 2

-4y = 5x + 2a                        -5y = -4x + 2

y = (5x + 2a):(-4)                    y = (-4x + 2):(-5)

y = -⁵/₄x - ¹/₂a                           y = ⁴/₅x - ²/₅

m₁ = -⁵/₄,  b₁ = -¹/₂a                  m₂=⁴/₅,  b₂= -²/₅

               -⁵/₄ ≠ ⁴/₅

Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.

Answer:

$52.70

Step-by-step explanation:

Step-by-step explanation:

the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle's other two sides, called the legs.

Answer:

prove: DF-~EF- DF~EF ~~AD

Answer:

Here is how to isolate the variable h.

Step-by-step explanation:

First, you have to isolate the variable which in this equation is "h." So you're going to add 2 to each side, which will give you

1/2h -2 + 2 = -5 + 2

1/2h = 3

now you've isolate the variable and you can solve for h.

(h = 6)

The i-Ready Answer:

h=14

The i-Ready Explanation:

1/2h-12= -5

      +12   +12        ( Add 12 on both sides )

     1/2h=7

2 x 1/2h=2 x 7     ( Multiply by 2 on both sides )

          h=14

Answer:

C = 48.5° ; B = 131.5°

Step-by-step explanation:

When any two angles are supplementary , it means that their sum is equal to 180°.

It's given in the question that B is 83 more than C . So,

[tex]B = C + 83[/tex]

Also it's given in the question that B & C are supplementary angles.

[tex]=> B + C = 180[/tex]

[tex]=> C + 83 + C = 180[/tex]

[tex]=> 2C = 180 - 83 = 97[/tex]

[tex]=> C = \frac{97}{2} = 48.5[/tex]

Hence,

[tex]B = 83 + 48.5 = 131.5[/tex]

∴ C = 48.5° ; B = 131.5°

Answer:

-4

Step-by-step explanation:

-4(3) = -12

-12 + 8 = -4

After solving the algebraic equation, the unknown number is equal to -4.

To write the word problem as an algebraic equation:

In this exercise, we are required to translate the given word problem into a mathematical (algebraic) expression and then solve for the unknown variable (number):

Translating the word problem into an algebraic expression, we have;

Eight more than three times a number:

[tex]3x + 8[/tex]

Equating the above to the number, we have:

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

x = -4

Read more on word problems here: https://brainly.com/question/2515220

Step-by-step explanation:

f(x) = 8/x + 2

g(x) = x²

When y = f(g(x)),

y = f(x²) = 8/x² + 2.

Answer:

44,39 in

Step-by-step explanation:

To find the space diagonal (whatever it's called in English) you begin looking at the bottom of the box. We want to know the diagonal since the diagonal is one of the sides of the other triangle.

To do this we can start by using trigonometry. (SOH-CAH-TOA)

We need to use Sin t. (Since we wanna know the hypothenuse and we have the opposite.)

So...

Sin(40) = 24 in ÷ h

Then we need to actually be able to calculate this, which we will be able to do if we multiply with h on both sides.

hSin(40) = 24 in

Like that. And now we can divide both sides with Sin(40). So we calculate 24 in devided by Sin(40).

h = 24 in ÷ Sin(40) = 37,34 in

Okay so now we now the diagonal, 37,34 in. Now we can use Pythagorean theorem. (2a+2b=2c and c = square root of (2a+2b))

37,34 in^(2) + 24 in^(2) = 1970,28

And now we take the square root of 1970,28.

Which is about 44,39 in.

If you're not familiar with these concepts I suggest you search them up.

Answer:

9.108

You only need to look at the 10nths place to determine which number is larger

Step-by-step explanation:

Answer:

1.95

Step-by-step explanation:

Answer: -1t + 720

Step-by-step explanation:

He worked at both jobs for 90 hours for this month.

He worked t hours as a tutor which means that as a waiter he worked;

= 90 - t hours

The amount earned is therefore;

= 7t + (8 * (90 - t))

= 7t + 720 - 8t

= -1t + 720

Answer:

Step-by-step explanation:ifk

Answer:

the answer is a or b .

Step-by-step explanation:

had the same question on my test.

Given:

Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.

To find:

The area of her yard.

Solution:

Let as consider,

Length of yard = 24.6 ft

Width of yard = 14.8 ft

We know that,

Area of a rectangle = Length × Width

Using the above formula, we get the area of her yard.

[tex]Area=24.6\times 14.8[/tex]

[tex]Area=364.08[/tex]

Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.

Therefore, the area of her yard is 364.08.

Answer:

39/40

Step-by-step explanation:

-25/40 + 64/40 already has a common denominator so you just need to add the numerators. -25 +64 = 39 over the denominator of 40.

39/40

Step-by-step explanation:

-5/8 + 16/10 = -5/8 + 8/5 = -25+64/40 = 39/40

Answer:

6 rides

Step-by-step explanation:

after the food (16 -4) he will have 12 tickets

and 2 tickets for each ride so 2x = 12 divide both sides by two and the number of rides will be 6

Answer:

6.998 rounded to 7.00

Step-by-step explanation:

Answer:

[tex]f(g(-7))=10[/tex]

Step-by-step explanation:

We have the two functions:

[tex]\displaystyle f(x)=\frac{1}{3}x+7\text{ and } g(x)=-2x-5[/tex]

And we want to find:

[tex]f(g(-7))[/tex]

So, we will first find g(-7). We know that:

[tex]g(x)=-2x-5[/tex]

Then by substitution:

[tex]g(-7)=-2(-7)-5[/tex]

Evaluate. Multiply:

[tex]g(-7)=14-5=9[/tex]

Therefore, we can rewrite our expression as:

[tex]f(g(-7))=f(9)[/tex]

Since we know that:

[tex]\displaystyle f(x)=\frac{1}{3}x+7[/tex]

By substitution:

[tex]\displaystyle f(9)=\frac{1}{3}(9)+7[/tex]

Evaluate:

[tex]f(9)=3+7=10[/tex]

Therefore:

[tex]f(g(-7))=10[/tex]

Answer:

[tex]\boxed {\boxed {\sf f(g(-7))= 10}}[/tex]

Step-by-step explanation:

We are asked to find f(g(-7)) given these 2 functions:

We must work from the inside out, so first find g(-7).

1. g(-7)

The function for g is:

[tex]g(x)= -2x-5[/tex]

Since we want to find g(-7), plug -7 in for x.

[tex]g(-7)= -2(-7)-5[/tex]

Solve according the PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply -2 and -7.

[tex]g(-7)=14-5[/tex]

Subtract 5 from 14.

[tex]g(-7)=9[/tex]

2. f(9)

Refer back to the original problem: f(g(-7))

Since we found that g(-7) is 9, we can substitute 9 in: f(9)

The function for f is:

[tex]f(x)= \frac{1}{3} x+7[/tex]

Plug 9 in for x.

[tex]f(9)=\frac{1}{3}(9)+7[/tex]

Solve according to PEMDAS and multiply 1/3 and 9.

[tex]f(9)=3+7[/tex]

Add 3 and 7.

[tex]f(9)=10[/tex]

f(g(-7) is equal to 10

Answer: sorry bro don't know

Step-by-step explanation I'm sorry I don't know

Answer:

(1/2) ( 5 - 7x)  = 8 - 4x - 6

(1/2) (5 - 7x)  = 2 - 4x    multipy through by 2

5 - 7x   = 4 - 8x         add 8x  to both sides.......subtract 5 from both sides

x = -1

Step-by-step explanation:

hope I helped more than him

Answer:

sorry di ko alam

Step-by-step explanation:

Answer:

A , C , D

Step-by-step explanation:

Mark as Brainliest.

Because I am Indian and solving your question from India.

Answer:

[tex]\%Increase = 118\%[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 550g[/tex]

[tex]First\ Addition = 350g[/tex]

[tex]Second\ Addition = 300g[/tex]

Required

Determine the percentage increment

First, we have to calculate the new weight

[tex]New\ Weight = Initial\ Weight + First\ Addition + Second\ Addition[/tex]

[tex]New\ Weight = 550g + 350g + 300g[/tex]

[tex]New\ Weight = 1200[/tex]

The percentage increment is then calculated as:

[tex]\%Increase = \frac{New\ Weight - Initial\ Weight}{Initial\ Weight} * 100\%[/tex]

[tex]\%Increase = \frac{1200g - 550g}{550g} * 100\%[/tex]

[tex]\%Increase = \frac{650g}{550g} * 100\%[/tex]

[tex]\%Increase = \frac{650}{550} * 100\%[/tex]

[tex]\%Increase = 1.182* 100\%[/tex]

[tex]\%Increase = 118.2\%[/tex]

[tex]\%Increase = 118\%[/tex] -- Approximated

Hence, the percentage increment is approximately 118%