Howard needs to buy pens and pencils for work. Pens cost $0.40 each and pencils cost 50.25 each. He needs to buy at least 340
pens and pencils combined, while spending no more than $100. If x represents the number of pens and y represents the number
pencils, which TWO statements are correct?
A)
x = 40 and y - 320 is a viable solution
B)
X = 100 and y = 260 is a viable solution
C)
x + y = 340 and 0.40x +0.25y 2 100 models the situation
D
-* + y 2 340 and 0.40x + 0.25y = 100 models the situation
E
x + y2 340 and 0.40% +0.25y 2 100 models the situation

Answer:

V = 23 cm 3

Step-by-step explanation:

Answer:

median = 93.5

median = 65

MAD = 7.125

MAD = 3.75

Step-by-step explanation:

The median is the middle value when the values of the data set are placed in order from smallest to largest.

Data set:  72 82 92 93 94 97 98 102

As the number of values in the data set is even, the median is the mean of the middle two values.

[tex]\implies \sf median=\dfrac{93+94}{2}=93.5[/tex]

Data set: 53 59 64 65 65 66 67 69

As the number of values in the data set is even, the median is the mean of the middle two values.  

[tex]\implies \sf median=\dfrac{65+65}{2}=65[/tex]

To find the Mean Absolute Deviation (MAD):

1. calculate the mean (by summing the data values and dividing by the number of values)

2. Subtract the mean from each value in the data set and take the absolute value of each result.

3. Sum the absolute values from step 2.

4. Divide by the number of values.

Data set: 72, 82, 93, 98, 102, 97, 92, 94

[tex]\sf Mean=\dfrac{72+82+93+98+102+97+92+94}{8}=91.25[/tex]

|72 - 91.25| = 19.25

|82 - 91.25| = 9.25

|93 - 91.25| = 1.75

|98 - 91.25| = 6.75

|102 - 91.25| = 10.75

|97 - 91.25| = 5.75

|92 - 91.25| = 0.75

|94 - 91.25| = 2.75

Sum of absolute values = 57

[tex]\sf MAD=\dfrac{57}{8}=7.125[/tex]

Data set: 53 59 64 65 65 66 67 69

[tex]\sf Mean=\dfrac{53 +59+ 64+ 65+ 65+ 66+ 67+ 69}{8}=63.5[/tex]

|53 - 63.5| = 10.5

|59 - 63.5| = 4.5

|64 - 63.5| = 0.5

|65 - 63.5| = 1.5

|65 - 63.5| = 1.5

|66 - 63.5| = 2.5

|67 - 63.5| = 3.5

|69 - 63.5| = 5.5

Sum of absolute values = 30

[tex]\sf MAD=\dfrac{30}{8}=3.75[/tex]

Answer:

56

Step-by-step explanation:

Sinx = 10/12

x = 56

Answer:

a

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkk

Answer:

a. h(x)=(x+2) (x-3) (x+4)

Step-by-step explanation:

The zeros of the function are -2, 3 and -4:

(x=-2) (x=3) (x=-4)

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

Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Answer:

List all the factors of 40

Step-by-step explanation:

Answer:

=8x+132

Step-by-step explanation:

Combine Like Terms:

=7+8x+45+80

=(8x)+(7+45+80)

=8x+132

Give me brainllest plz T-T

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

What do we see in triangle -- adj and hyp

cosine since it is SOH CAH TOA

cos(14)/1 =x/480

Answer = 465.74 the real rounding is 466

Answer:

It's 18

Step-by-step explanation:

30/100 x 60/1

180/100 =18

Answer:

18

Step-by-step explanation:

Here. We are going to multiply both sides of the equation by this fraction 100 over 30 100 over 30.

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

[tex]\frac{dx}{dt} = ax[/tex]

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Answer:

$7.75

Step-by-step explanation:

Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5

To find: How much the adult tickets are

Solution: Use the 5 tickets at $5 to get $25

Add the $15 for concessions to reach $40

                            25 + 15 = 40

Subtract $40 from the 71 spent to get $31

                            71 - 40 =  31      

Now, divide the 31 by 4 for the number of adults which equals $7.75

                             31 ÷ 4 = 7.75

So, the cost of the adults' tickets is $7.75

Answer:

1. C

2.B

Step-by-step explanation:

Force is a push or a pull.. can be a twist too

to make an object move you have to apply force by pushing of pulling the object.

Answer:

no

Step-by-step explanation:

no, because 24 is not divisible by five. If you divide 24/5, you will be left with 4+4/5, and you can't have 4/5 of a piece and have them all be the same length

Answer:

343

Step-by-step explanation:

f(x) = x - 1 and g(x) = x^3

g(f(8))

First find f(8) = f(8-1) = 7

Then find g(7) = 7^3 = 343

g(f(8) = 343

Answer:

I will assume that you meant to type (g o f)(8).

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

(g o f)(8) = 343:

Answer:

New coordinates of the point Z are (-6, 9)

Step-by-step explanation:

If a point (x, y) is rotated 180° about the origin, coordinates of the image point is given by the rule,

(x, y) → (-x, -y)

Coordinates of the vertex Z → (6, -9)

Following the same rule,

Z(6, -9) → Z'(-6, 9)

Therefore, coordinates of the new (image) point will be (-6, 9).

Answer:

you are 13 and she is 25

Step-by-step explanation:

Math

Answer:

3(y+z)

Step-by-step explanation:

y+z is added first so it is in parentheses and then multiply by the 3

Answer:

i think its 22.22 thats my guess

Answer:

[tex]\frac{1}{45}[/tex] kilometers

Step-by-step explanation:

60 minutes = 3600 seconds

[tex]\frac{40}{3600} =\frac{y}{2}[/tex]

3600y = 80

3600y ÷ 3600 = 80 ÷ 3600

[tex]y=\frac{1}{45}[/tex]

Answer:

16 2/3

Step-by-step explanation:

Answer:

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

An Alternative hypothesis is accepted

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Step-by-step explanation:

Step(i):-

Given that the mean life of a certain type of light bulb is at least 754 hours

Given that the random sample size 'n' =29

Given that the mean life of sample x⁻ = 737

Given that the standard deviation of the Population = 59

Step(ii):-

Null hypothesis: H₀: μ≥ 754

Alternative Hypothesis:H₁: μ≤ 754

Test statistic

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

           [tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]

           Z =  -1.55

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected  at 0.08 level of significance

Final answer:-

The calculated test  |Z| = |-1.55| >1.405 at 0.08 level of significance

The null hypothesis is rejected at a 0.08 level of significance.

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour

Answer:

-131

Step-by-step explanation:

You should add the minus sign before the number 131

Answer:

x=17

Step-by-step explanation:

The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.

Hope this helps!

BTS!!

Answer:

x = 17

Step-by-step explanation:

75° and (4x + 7)° are alternate interior angles.

If two lines are cut by a transversal, then the alternate interior angles are congruent.

75 = 4x + 7

=> 4x = 68

=> x = 17

Answer:

1/8 teaspoon of vanilla is needed to make 5 cookies

Step-by-step explanation:

1) 1/2 teaspoon of vanilla makes 20 cookies

2) you only need 5 cookies which is 1/4 as many cookies as before

3) you must 1/4 your recipe

4) 1/2 divided by 4 = 1/8

9514 1404 393

Answer:

  graph is attached

Step-by-step explanation:

With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.

The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.

Answer: C. 10x-3

Step-by-step explanation: I got this question correct on Edmentum.

The value of the expression will be 10x – 3. Then the correct option is C.

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The function is defined as,

f(x) = 5x² – 3x + 2

Then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]

Substitute the value of the function, then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]

Simplify the equation further, then we have

[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]

Substitute the value of the h = 0, then the value of the expression will be

⇒ 5(0) + 10x – 3

⇒ 10x – 3

Then the correct option is C.

More about the limit link is given below.

https://brainly.com/question/8533149

#SPJ2

E.

It gives a very precise question which will give much data.

Answer:

sorry I need points

Step-by-step explanation:

so so so sorry :(