Bea is buying pens and pencils. Pens cost $2 and pencils cost $1. She plans on spending no more than $10 and wants to buy at least 10 items. Which two inequalities model this situation?

Answers

Answer 1

Well each pen costs $2 and each pencil costs $1.

One of the equations would be

2p + 1c ≤ 10

She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.

1c ≤ 10 c = 10

1(10) ≤ 10

10 ≤ 10

Now for the pens

2p ≤ 10

2. 2

P = 5

5 ≤ 10

Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.


Related Questions

y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:

Answers

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

Expoenential equations

The standard exponential equation is given as y = ab^x

where;

a is the initial populationb is the rate (growth or decline)

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a  = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

please give me the right answer i’ve been having trouble for an hour now

Answers

Answer:

B

Step-by-step explanation:

(x+4)(3x^2-7)

multiply and get 3x^3 +12x^2 -7x -28 which is anwser choice b

Limit as x approaches 0 of (sin^2x)/x

Answers

Answer:

0

Step-by-step explanation:

Given the expression

[tex]\lim_{x \to \ 0} \frac{sin^2x}{x}[/tex]

Substitute the value of x in the function

[tex]= \frac{sin ^2(0)}{0}\\= 0/0 (indeterminate) \\[/tex]

Apply l'hospital rule

[tex]\lim_{x \to \ 0} \frac{d/dx(sin^2x)}{d/dx(x)} \\= \lim_{x \to \ 0} \frac{(2sinxcosx)}{1} \\[/tex]

Substitute the value of x

= 2 sin(0)cos(0)

= 2 * 0 * 1

= 0

Hence the limit of the function is 0


An integer between -1.6 and -0.4

Answers

-1

(20 character minimum)

Sana bought a dress for $32.99 and two purses. The total cost for the three items was $57.97. What was the cost for one purse?

Answers

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Can someone Help me please ?

Answers

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).

Can someone please help me write an equation for this graph? This is a different one.

Answers

Answer:

The equation of a line passing through points [tex](x_1,y_1)[/tex]and [tex](y_1,y_2)[/tex] is given by:

[tex]y-y_1 = \frac{(y_2-y_1)}{x_2-x_1}(x-x_1)[/tex]

According to question, the passing points of the line are (1,1) and (3,-3). So, its equation is given by:

[tex]y-1 = \frac{-3-1}{3-1} (x-1) \\or, y-1 = \frac{-4}{2}(x-1)\\or, 2y-2 = -4x+4\\or, 4x + 2y = 2+4\\or, 4x+2y = 6\\or, 2x+y = 3 is the required equation.[/tex]

Translate this phrase into an algebraic expression. 78 less than Amaris test score. Use C to represent Amari's test score PLEASE HURRY!!

Answers

Answer:

it's 78<C. < means less than

Select the correct answer.
Which equation is true for the value b= 10?
O A. 2(b + 4) = 16
OB.
2(b + 2) = 40
OC. 316 - 2) = 24
OD. 2(8 + b) = 42
O E. 3(b - 4) = 20

Answers

Answer:

C. 3(b - 2) = 24

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

A. 2(b + 4) = 16

2(10 + 4) = 2(14) = 28 ≠ 16, incorrect

B.  2(b + 2) = 40

2(10 + 2) = 2(12) = 24 ≠ 40, incorrect

C. 3(b - 2) = 24

3(10 - 2) = 3(8) = 24, correct

D. 2(8 + b) = 42

2(8 + 10) = 2(18) = 36 ≠ 42, incorrect

E. 3(b - 4) = 20

3(10 - 4) = 3(6) = 18 ≠ 20, incorrect

Answer:

C. 3(b - 2) = 24..

A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?

Answers

Answer:

apples cost a total of 2.16

cherrys cost a total of 9.05

Step-by-step explanation:

1.35*1.6=2.16

3.62*2.5=9.05

I really need help please

Answers

Answer:

50°

Step-by-step explanation:

the angles should add up to 180. there is a 90° angle abd a 40° angle which adds up to 130. 180-130 gives you rour missing angle if 50°.

Quadrilateral GHJK is a rectangle.

Find the measure of angle 1, given that the measure of angle 4 is 54°. *

(1 Point)

54°

46°

126°

134°

Answers

Answer:

126 degrees

Step-by-step explanation:

The sum of adjacent side of the rectangle is 180 degrees

Hence <1 + <4 = 180 degrees

Given

<4 = 54 degrees

<1 = 180 - <4

<1 = 180 - 54

<1 = 126degrees

Hence the value of <1 is 126 degrees

Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X

Answers

Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

whats the GCF for 1248

Answers

Answer:

None or 12 depending on what the question is. See explanation below.

Step-by-step explanation:

If the number is 1248:

A single number cannot have a GCF. The GCF has be for at least two numbers.

If the numbers are 12 and 48, then the GCF can be calculated.

Since 12 is a factor of 48, then the GCF of 12 and 48 is 12.

In general, to calculate the GCF do this:

To calculate it, find the prime factors of 12 and 48.

12 = 2^2 * 3

48 = 2^4 * 3

GCF is the product of common factors with lower exponent.

GCF = 2^2 * 3 = 12

Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran?

Answers

Answer:

4.5 (j + m) + 27

Step-by-step explanation:

Sketch and shade the region in the xy-plane defined by the equation or inequalities.

|x| < 7 and |y| < 3 g

Answers

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer

Answers

Step-by-step explanation:

let the angles be ' 7x, 8x and 5x'

as we know, the sum of all the angles of a triangle is 180 degree, so,

7x + 8x + 5x = 180

20 = 180

x = 180/2

x = 90 degrees

7x = 7 × 90 = 630 degree

8x = 8 × 90 = 720 degrees

5x = 5 × 90 = 540 degrees

therefore, 5x is the smallest degrees

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x^2 16y^2

Answers

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer:

The value of the test statistic is t = 2.19.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Sample of 1300 voters:

This means that [tex]n = 1300[/tex]

Found that 45% of the residents favored construction.

This means that [tex]X = 0.45[/tex]

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.

This means that [tex]\mu = 0.42[/tex], and by the Central Limit Theorem:

[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.42*0.58}{1300}} = 0.0137[/tex]

So, the test statistic is:

[tex]t = \frac{X - \mu}{s}[/tex]

[tex]t = \frac{0.45 - 0.42}{0.0137}[/tex]

[tex]t = 2.19[/tex]

The value of the test statistic is t = 2.19.

An item has increased by
23% to £58.
What was the original
price?

Answers

Answer:

The answer is 44.66

Step-by-step explanation:

Multiply 58 by 0.23. This will give you 13.34. Next, you subtract this from 58 to get your original price.

CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD

Answers

Answer:

3[tex]\sqrt{5}[/tex]

What is the quotient?

-4/5➗2

Answers

The answer is -0.4 because I just did it in a calculator.

__+ (-4) = -1 what is the missing number

Answers

Since the final answer is -1, the missing number would be positive 3

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.

Answers

Answer:

Its oka linden

Step-by-step explanation:

Just cause

Let 3x + 9 = 5x – 3. What is the value of 4x ?

Answers

Answer: 24

Step-by-step explanation:

3x + 9 = 5x - 3

9 = 2x - 3

12 = 2x

x = 6

6 * 4  =24

4x = 24

144 ÷ a = 16
Find the value of a.​

Answers

9
16x9 equals 144 so 144/9 would be 16

Answer:

9

Step-by-step explanation:

Move the variable to the other side of the equation

144 ÷ 16 = a

9 = a

Check:

144 ÷ a = 16 (Correct)

13-6=3x-14 whats the value of x

Answers

Answer:

x=9

Step-by-step explanation:

13+14=3x

27=3x

27/3=x

9=x

Please help me answer this with the correct answer :)


Explain your answer


I will give braisnlt :)

Answers

Answer:

Hey

Step-by-step explanation:

Where is the question

There’s no question present to help with

PLEASE HELP!


|−1.25| + |2.5|

Answers

Explanation

-1.25+2.5=1.25

Answer:

1.25 is the answer .......

Step-by-step explanation:

hello will u be friend with me

what is the answer? ;3

Answers

First you add the numbers

6/2*3

Now you calculate the expression

6/2*3

The answer is 9, therefore 9 is your answer
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