Daniel has $100. After he buys 4 pencils and 3 pens, he has $7 left. If each pencil costs $3 more than each pen, is $25 enough to buy 2 pens?

Answer:

adding the 2 equations

Step-by-step explanation:

2x + 3y = 14 → (1)

4x - 3y = 10 → (2)

since the coefficients of the y- terms are opposites then adding will eliminate y

add (1) and (2) term by term

6x + 0 = 24

6x = 24 ( divide both sides by 6 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

substituting into (1)

2(4) + 3y = 14

8 + 3y = 14 ( subtract 8 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (4, 2 )

Answer:

It is arithmetic

Step-by-step explanation:

Using the rule T2-T1

We see that 16-22 is -6

We can also try T3-T2

We see that 10-16 is also -6

Their is a constant common difference and that constant common difference is -6.

Hope that helps :)

The question is:  What fractions of the beads are blue or green ?

The answer is:  7/12 of the beads are either blue or green.

if i tell you the truth i dont even know

Hello.

First, let's recall the Properties of Exponents:

[tex]\displaystyle(\frac{a}{b} )^{m}[/tex]= [tex]\displaystyle\frac{a^{m} }{b^{m}}[/tex]

Let's use this property to simplify the given expression:

[tex]\displaystyle(\frac{9}{16} )^\frac{1}{2}[/tex]

[tex]\displaystyle\frac{9^{\frac{1}{2} } }{16\x^{\frac{1}{2} } }[/tex]

Now, the [tex]\frac{1}{2}[/tex] power means "square root of"

The square root of 9 is 3, and the square root of 16 is 4.

Thus, we have

[tex]\displaystyle\frac{\sqrt{9} }{\sqrt{16} } \\\displaystyle\frac{3 }{4}[/tex]

Therefore, the answer is

[tex]\displaystyle\frac{3}{4}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

A

Step-by-step explanation:

The answer is B on the test

Answer:

Number line graph with a closed circle on 120 and shading to the right.

Step-by-step explanation:

Because they have collected 30 dollars already and must collect at least 150 dollars, the closed circle would go on 120, going to the right. (150-30=120)

The height of the base if it is 2 in. Wide is 3 inches

The volume of rectangular prism =  [tex]\dfrac{1}{2} \times Lenght \times Base \times hieght[/tex]

The volume of given rectangular prism = [tex]12 inch ^{3}[/tex]

Length of prism = 4 inch

The base of prism = 2 inch

By putting the values in the formula

[tex]12= \dfrac{1}{2} \times 4 \times 2\times Height[/tex]

so from the above calculations

[tex]height=3 inches[/tex]

Thus the height of the base if it is 2 in. Wide is 3 inches

To know more about the volume of the prism follow

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The parent exponential function is the following:

[tex]f(x)=b^x[/tex], where b is the base.

We can apply many different types of transformations to this function:

[tex]g(x)=a*b^{k(x-d)}+c[/tex]

In this question, we are working with vertical translation.

We are translating the given function [tex]f(x)=3^x[/tex] 5 units up. This means that we will be adding 5 to the function:

[tex]g(x)=3^x+5[/tex]

a. [tex]g(x)=3^x+5[/tex]

Step-by-step explanation:

(-11/6) + m = -2/9

m = -2/9 + 11/6

the last common multiple of 9 and 6 is 18.

so, we are bringing both fractions to .../18.

m = -2×2/18 + 11×3/18 = -4/18 + 33/18 = 29/18

Answer:

a, c, and e represent the total area

Answer:

(m+n)*6

Step-by-step explanation:

The total area of a rectangle= length*breath

So using this,

Length (l)=n+m

Breath (b)= 6

We know that,

Area of rectangle (A)=l*b

=(n+m)*6

=(n+m)6

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

⠀

Here,

⠀

Substituting the values in the formula :

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}[/tex]

⠀

Therefore,

~Let's change 9.9² to 10² since we have to estimate.~

We know that:

Solving the expression:

The estimated value of 9.9² × 1.79 is 179.

~Let's change √97.5 to √100 and 1.96 to 2 since we have to estimate.~

We know that:

Solving the expression:

The estimated value of √97.5 ÷ 1.96 is 5.

Answer:

1.79% chance or [tex]\frac{6}{343}[/tex]

Step-by-step explanation:

7+3+4=14

chance of yellow [tex]\frac{3}{14}[/tex]

chance of orange [tex]\frac{4}{14}[/tex]

[tex]\frac{3}{14} * \frac{4}{14} *\frac{4}{14} = \frac{6}{343}[/tex]

Answer:

C

Step-by-step explanation:

Longest practice is 2 1/2 hours long

Shortest is 1 1/4 hours long

For difference, subtract 1 1/4 from 2 1/2

Convert mixed to improper fractions

(2*2+1)/2 - (1*4+1)/4

5/2 - 5/4

10/4 - 5/4 = 5/4

Change back to mixed fraction

1 1/4

Answer:

653.45

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

D (4,8)

Step-by-step explanation:

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842

The x intercept of the given graph of the company's profit is where the curve of the graph crosses the x-axis.

In this figure, the graph crosses the x-axis at x = 0 and x = 6

This represents the profit is 0 when the price is $0 and $6, respectively

This represents the maximum profit that can be made.

From the graph, the maximum profit is $120

From the graph, the graph increases from x = 0 to x = x = 3, and it decreases from x = 3 to x = 6

These intervals represent when the profit increases, and when it decreases

This is calculated as:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

So, we have:

[tex]m = \frac{f(3) - f(1)}{3 - 1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

Substitute known values

[tex]m = \frac{120 - 60}{2}[/tex]

[tex]m = \frac{60}{2}[/tex]

Simplify

[tex]m = 30[/tex]

Hence, the average rate of change from x = 1 to x = 3 is a profit of $30 per unit sale

Read more about functions and graphs at:

https://brainly.com/question/13473114

Answer:

m = 41

Step-by-step explanation:

m + 43 = 38 + 46

m + 43 = 84 ( subtract 43 from both sides )

m = 41

[tex]45s^2-19-s^2+16\\=45s^2-s^2-19+16\\=s^2(45-1)-19+16\\=44s^2+(-19+16)\\=44s^2-3[/tex]

Hope that helps and hope you get better!

Rate of change: y + 4, or x + 1

Start Value: 0

Equation: y = 4x + 6

Answer:

C. 5 1/5

Step-by-step explanation:

A, B, and D are all 5.5 and C alone is 5.2

Answer:

Step-by-step explanation:

Let's verify each option.

Option A

Option B

Option C

Option D

Looking at the options, we can see that the result of Option A, B, and D are same.

This means that the odd one is Option C.

Answer:

84

Step-by-step explanation:

The formula for the area of a triangle is 1/2bh. the base is 7, and the height is 24. 7×24=168/2=84ft2

I HOPE THIS HELPS YOU

Answer:

I prefer to set their units in order so it can help me;

7 Bears     140 bears

_______ = _______

3 Dolls               x

⇒ 7 Bears   x20  140 bears

   _______    =    _______ , 3(20) = 60 Dolls

    3 Dolls     x20         x

The distance between two points is the number of units between them

The distance between the oak tree and the maple tree is 9 yards

From the diagram, we have the following highlights:

The distance (d) between the oak tree and the maple tree is the difference between the above measurements.

So, we have:

[tex]d = 28\frac 26 - (11\frac 36 + 7\frac 56)[/tex]

Simplify the expression in the bracket

[tex]d = 28\frac 26 - (19\frac 26)[/tex]

Subtract

[tex]d = 9[/tex]

Hence, the distance between the oak tree and the maple tree is 9 yards

Read more about distance at:

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The distance between the maple tree and the oak tree is 9 yards

The distance between the maple tree and the end is 28 2 / 6 yards(170 / 6)

The distance between the oak tree to the end is the sum of  oak to pine and pine to the end. Therefore,

Therefore, the distance between the maple tree and the oak tree is as follows;

Difference is the subtraction of one number from another. Therefore, the distance between the maple tree and the oak tree is the difference between the maple tree to the end and the sum of  oak to pine and pine to the end.

Therefore,  the distance between the maple tree and the oak tree is 9 yards

learn more on distance here: https://brainly.com/question/26891337

Answer:

we know that,

y intercept exist when x = 0

so,

⇢y = -4x +98

⇢y = -4 x 0 +98

⇢y = 98

so , the expected test score is 98

when x = 0

y = -4(0) +98

when x = 1

y= -4(1) +98 = 94

when x = 2

y= -4(2) +98 = 90

we can see the decresement of 4 points

We can see that the increament in absent days lead to lower scores ( one class = 4 points)

For 0 clases

Option A is certified as correct

So it decreasing not increasing

Option C is correct

Yes as the missed classes increase expected test decreasing as slope is negative.

Option F is correct