Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16 each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils

Answers

Answer 1

Answer:

A) 5 notebooks, 10 pencils

Step-by-step explanation:

n = notebook

p = pencil

1.97n + 1.16p = 21.45

A)✅

1.97(5) + 1.16(10) = 21.45

9.85 + 11.6 = 21.45

21.45 = 21.45

B) ❌

1.97(3) + 1.16(12) = 21.45

5.91 + 13.92 = 21.45

19.83 = 21.45


Related Questions

Will mark brainly
ASAP

Answers

Answer:

The angles that are considered vertical, would be those that are directly across from each other. In this case, it would be 1 and 3; and 2 and 4.

I hope this helped!!

What's the 11th term 5,15,45,135

Answers

Answer:

The 11th term is 295,245.

Step-by-step explanation:

We are given the sequence:

[tex]5, 15, 45, 135...[/tex]

And we want to find the 11th term.

First, let's determine whether this is an arithmetic sequence or a geometric sequence.

Arithmetic sequences have common differences, while geometric sequences have common ratios.

We can determine that our sequence is a geometric sequence because each subsequent term is triple the previous term: our common ratio is 3.

To find the 11th term, we can write an explicit formula for our sequence. The explicit formula for a geometric sequence is given by:

[tex]x_n=ar^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

Since initial term is 5, and the common ratio is 3. Thus:

[tex]x_n=5(3)^{n-1}[/tex]

To find the 11th term, substitute 11 for n:

[tex]x_{11}=5(3)^{11-1}[/tex]

Evaluate. Thus, the 11th term is:

[tex]x_{11}=5(59049)=295245[/tex]

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Given that,

Perpendicular = 17 units

Hypotenuse = 25 units

We need to find the value of x.

Using Pythagoras theorem to find x.

Hypotenuse² = base²+perpendicular²

25² = x² + 17²

x = 18.3 units

So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.

When having the same radius and height what fraction of a cylinder have the same volume as one cone?

Answers

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

In an examination, a student has to secure 40% marks to pass. Rahul gets 178 marks and fails by 32 marks. What are the maximum marks? Please explain in step-by-step procedure.

Answers

Answer:

210

please I beg of you if I'm wrong tell me I will try it out again it is just that I've never come across such a question so I just had the idea to try it have a good day.

Solve
7+x/3 = 2x-5
Give all working out

Answers

X = 36/5
Or x = 7.2


21 + x = 6x - 15
21 = 6x - 15 - x
21 = 5x - 15
21 + 15 = 5x
36 = 5x
36/5 = x
7+x/3 = 2x-5

multiply both sides by 3

21+x =6x-15

move the 6

21+x-6x = -15

move the 21

x-6x = -15-21

combine like terms

-5x = -15-21

divide both sides:

-5x = -36


answer: x = 36/5

The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of p>0.5, which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01, 0.001? Why? The P-value of (0.999.05.095.005-001.0001) 2 is preferred because it corresponds to the sample evidence that most strongly supports the (null/ altenative)? hypothesis that the method (is/ is not)? effective.

Answers

Answer:

0.001

Step-by-step explanation:

Ericsson is claimed to increase the likelihood of a baby girl ;

Given the alternative hypothesis to buttress this claim :

HA : p>0.5

In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.

To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.

Recall ;

Pvalue < α ; We reject the Null

Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.

Please help dont get this at all lol

Answers

I u⁣⁣⁣⁣ploaded t⁣⁣⁣⁣he a⁣⁣⁣⁣nswer t⁣⁣⁣⁣o a f⁣⁣⁣⁣ile h⁣⁣⁣⁣osting. H⁣⁣⁣⁣ere's l⁣⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

{(-5, 6), (-2, 3), (3, 2), (6,4)}
Is the relation a function

Answers

Answer:

yes: each input has only one output

What’s the value of x

Answers

Answer:

x = 50/7, or x = 7 1/7

Step-by-step explanation:

Create and solve an equation of ratios, as follows:

5      x

--- = ----

7     10

Cross-multiplying, we get:  7x = 50, or x = 50/7, or x = 7 1/7

Write an expression in simplest form for the area of a rectangle with length 6c meters and width 2 meters.

Answers

Answer:

12c square meters

Step-by-step explanation:

We know that

Area of a rectangle = length (L)× width(w)

Here it is given that length ,and width of the rectangle is 6c meters and 2 meters respectively.

Therefore, required area of the rectangle = 6c × 2 = 12c square meters.

If a = 20 mm, b = 12 mm, and m∠C = 80°, what is the approximate area of ABC?

Answers

Answer:

118.18 mm^2

Step-by-step explanation:

Sides a and b form angle C, so the information given is a side-angle-side (SAS) problem.

Use the formula [tex]A=\frac{1}{2}ab\sin{C}[/tex].

[tex]A=\frac{1}{2}(12)(20)\sin{80^\circ} \approx 118.18 \rm \,mm^2[/tex]

Min has a shelf filled with books. The books have different thicknesses. This line plot shows the thickness of each book. He piles the four thickest books on top of each other. How thick is the pile?

Answers

Answer:

[tex]$2\frac{1}{4} \ inch$[/tex]

Step-by-step explanation:

We have the four thickest books from the line plot given by

Two books of [tex]$\frac{1}{2}$[/tex] inch thick and the two books of [tex]$\frac{5}{8}$[/tex] inch thickness.

So when the two [tex]$\frac{1}{2}$[/tex] inch thick book is being piled on the top of a [tex]$\frac{5}{8}$[/tex] inch thick books.

Therefore, the total thickness of the pile of books is given by :

[tex]$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$[/tex]

[tex]$=\frac{9}{4}$[/tex]

[tex]$=2\frac{1}{4} \ inch$[/tex]

Therefore, the thickness of the pile is [tex]$2\frac{1}{4} \ inch$[/tex] .

The addition is one of the four fundamental mathematical operations. The thickness of the pile is 4.75 inches.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

As per the given graph, the top four thickest books are:

2  books of thickness 1 1/8 inches2 books of thickness 1 1/4 inches

Therefore, the thickness of the pile is the sum of the thickness of the four books.

[tex]\text{The thickness of pile} = 1\frac18 +1\frac18 + 1\frac14 + 1\frac14\\[/tex]

                                 [tex]= \dfrac98 +\dfrac98 + \dfrac54 + \dfrac54\\\\= 4.75[/tex]

Hence, the thickness of the pile is 4.75 inches.

Learn more about Addition:

https://brainly.com/question/14092461

#SPJ5

Function W
y=-*sx + 30
Function z
х o 1 2 4
y 15.8 15.76 15.72 15.68
Which statement comparing the
functions is true?
A. The slope of Function W
is equal to the slope of
Function Z.
B. The slope of Function W
is less than the slope of
Function Z.
C. The y-intercept of Function W
is equal to the y-intercept of
Function Z.
D. The y-intercept of Function W
is less than the y-intercept
of Function Z.

Answers

It is c because it is

Subtract (-4x-2)-(13x-1)

Answers

Answer: -17x-1

Step-by-step explanation: Hope this help :D

Answer:

-17x-1

Step-by-step explanation:

Irene knows there are 2 cups in 1 pint. She writes the equation c=2p to find the number of cups, c, in any number of pints, p. Use the drop-down menus to complete the statements about Irene's equation.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as there are no options to select from.

However, a general explanation is as follows.

Given

[tex]2\ cups = 1\ pint[/tex]

Required

Is [tex]c = 2p[/tex] a correct expression?

Let

[tex]c = cups[/tex]

[tex]p = pint[/tex]

So:

[tex]2\ cups = 1\ pint[/tex]

becomes

[tex]2 * c = 1 * p[/tex]

[tex]2c = p[/tex]

Divide both sides by 2

[tex]c =\frac{1}{2}p[/tex]

Hence:

[tex]c = 2p[/tex] is incorrect

Which function is best represented by this graph?

Answers

I believe the answer is C
I believe that the answer is C also

WILL MARK BRAINLIEST How would I be able to graph f(x) = (2x-1)(2x-5)? I just need to know the steps how to.

Answers

Answer:

Find the "zeros" and plug in points

Step-by-step explanation:

You can tell this graph is a parabola.

We can find the "zeros" of the graph to help us.

Find the zeros:

2x-1=0

2x=1

x=0.5

2x-5=0

2x=5

x=2.5

We can substitute values into f(x)=(2x-1)(2x-5) to graph.

You should get (1.5,-4) to be the vertex.

Hope this helps

Pls help ! Will give brainliest

Answers

Answer: here ya go!

Step-by-step explanation:

In this question, we define a new operation in arithmetic, using xxas a symbol. a xxb = ab + a – b For example, 3xx7 = 21 + 3 - 7 = 17 a.Calculate 5 xx2 b. Calculate 3 xx1/2 c. Solve the equation x xx5 = 8

Answers

Answer:

a. 13 , b. = 4 , c. 2.2

Step-by-step explanation:

Given : a xx b = ab + b - a

So, no.1 xx no.2 = Product no.1 x no.2 + no.1 - no.2

As evident 3 xx 7 = (3 x 7) + 3 - 7 → 3 xx 7 = 21 + 3 - 7 = 17

Hence, 5 xx 2 = (5 x 2) + 5 - 2 → 5 xx 2 = 10 + 5 - 2 = 13

3 xx 1/2 = 3 (1/2) + 3 - 1/2 = 1.5 + 3 - 0.5 = 4

x xx 5 = 8

x xx 5 = 5x + x - 5

6x - 5 = 8

6x = 13

x = 2.16 ≈ 2.2

HELLPPPP

3 divided by 3 over 3 divided by 12

Answers

Answer:

its 1/2

Step-by-step explanation:

because 3and3 because only 3 and 3 and 12 become 6and3 so 3/6 is 1/2

The coefficients in the expression of (x+y)^4 are

Answers

Answer:

the coefficients are 1,4,6,4,1.

Step-by-step explanation:

I hope this helps

50 points i neeeeeed help please no crazy answer and no links yall are making me waste points

In a sequence of numbers, a4=6, a5=10, a6=14, a7=18, and a8=22. Which recursive rule can be used to find the nth term of the sequence, an?
a1=6; an=4an−1
a1=−6; an=an−1+4
a1=6; an=an−1+4
a1=−6; an=4an−1

Answers

Common difference

a_5-a_410-64

Equation

a_n=a+(n-1)4a_5=a+16a=10-16a=-6

Option B

Answer:

[tex]\begin{cases} \sf a_1=-6 \\ \sf a_n=a_{n-1}+4 \end{cases}[/tex]

Step-by-step explanation:

Given:

a₄ = 6a₅ = 10a₆ = 14a₇ = 18a₈ = 22

From inspection of the given terms, it is evident that there is a common difference between consecutive terms.  Therefore, this is an arithmetic sequence.

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

From inspection of the sequence, we can see that each term is found by adding 4 to the previous term.  Therefore, the recursive formula is:

[tex]\sf a_n=a_{n-1}+4[/tex]

A recursive rule comprises the recursive formula together with the 1st term a₁.  To find the 1st term, keep subtracting 4 from each term:

[tex]\begin{aligned} \sf a_3 & = \sf a_4 - 4\\ & = \sf 6 - 4\\ & = \sf 2\end{aligned}[/tex]

[tex]\begin{aligned} \sf a_2 & = \sf a_3 - 4\\ & = \sf 2-4 \\ & = \sf -2\end{aligned}[/tex]

[tex]\begin{aligned} \sf a_1 & = \sf a_2 - 4\\ & = \sf -2-4 \\ & = \sf -6\end{aligned}[/tex]

Therefore, the recursive rule that can be used to find the nth term of the sequence is:

[tex]\begin{cases} \sf a_1=-6 \\ \sf a_n=a_{n-1}+4 \end{cases}[/tex]

Learn more about arithmetic sequences here:

https://brainly.com/question/28010120

https://brainly.com/question/27924553

Help plz need help !!!!!!!

Answers

Answer:

B)

Step-by-step explanation:

let 's' = # shirts they can buy

8s + 45 ≤ 325

8s ≤ 280

s ≤ 35

they cannot purchase more than 35 shirts

first set up the equation:

let t = number of t-shirts

8t + 45 [tex]\leq[/tex] 325

solve for t:

subtract 45 from both sides

8t [tex]\leq[/tex] 280

divide both sides by 8

t  [tex]\leq[/tex] 35

looking at the number line:

when placing this onto the numberline, there should be a close circle at 35 and the arrow should be going towards 0 to show that it is less than or equal to 35

answer: B

Help me please a girl neeeds help

Answers

Answer: B) reflection over the y-axis

please help!
which equation below has no solution?

Answers

The answer is number 1

Ms. Benton gives her students a reading list with 12 books. She requires
them to read 2 books from the list during the grading period. In how many
different ways can 2 books be chosen?

Answers

8

Step-by-step explanation:

yx divide 2 use x=7 and y=2

Answers

Answer:

finish the sentence

Step-by-step explanation:

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.

a. The vertex is (1, -9).

b. The graph opens upward.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.

d. The graph is steeper than the graph of f(x) = x2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Answers

Answer:

Step-by-step explanation:

a. The vertex is (1, -9).  False.  The vertex is (-1, -9).

b. The graph opens upward.  True.  That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.  False.  It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2.  True.  The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form.  Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9.  YES, TRUE

f) –5 – 3( x + 1 ) = –( –4x + 1)​

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

- 5 - 3 (x + 1) = - (- 4x + 1) ← distribute parenthesis on both sides

- 5 - 3x - 3 = 4x - 1

- 3x - 8 = 4x - 1 ( subtract 4x from both sides )

- 7x - 8 = - 1 ( add 8 to both sides )

- 7x = 7 ( divide both sides by - 7 )

x = - 1

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