Jorge is building a table out of boards that are 3.75 inches wide he wants the table to be at least 36 inches wide what is the least number of boards he can use

Answer: They cost the same amount.

Step-by-step explanation:

35(0.20)=7

35-7=28

40(0.30)=12

40-12=28

28=28

The answers are:

3. Addition property of equality

4. [tex]6x-7+7=12+7[/tex] - Simplification

7. [tex]x=\frac{19}{6}[/tex]

To solve the problem, we need to start with the result of the second step:

[tex]6x-7=12[/tex]

So,

For the step 3:

Then, for the 3rd step, we have to apply the addition property of equality.

The addition property of equality states that if we add a term to one side of the equality, we need to add it to the other side of the equality, in order to not alterate the equality.

Then, applying the property, we have:

[tex]6x-7=12[/tex]

Adding 7 to both sides, we have:

[tex]6x-7+7=12+7[/tex]

For the step 4:

Now, for the 4th step, we have to simplify the expression:

[tex]6x-7+7=12+7[/tex]

Then, simplifying, we have:

[tex]6x=19[/tex]

For the step 7:

Simplificating, we divide each side of the equality by 6:

[tex]\frac{6x}{6}=\frac{19}{6} \\\\x=\frac{19}{6}[/tex]

Have a nice day!

Answer:

A) X=-2

Step-by-step explanation:

by multiplying the first term by -3 then -6X-3y=-3

                                                            and  2X+3y=11

then by adding = -4X=8

then X=8/-4=-2

The value for x in the given system of equations is found by using the method of elimination, resulting in x = -2. The value of y was found first, namely y = 5, and was then substituted into the first equation to find x.

The system of equations given is:

To find the value of x, we can use the method of elimination or substitution. Let’s use elimination. First, subtract the first equation from the second.

That gives us: 2x + 3y - (2x + y) = 11 - 1

Which simplifies to: 2y = 10

Then divide both sides by 2: y = 5

Now substitute y = 5 into the first equation: 2x + 5 = 1, which simplifies to 2x = -4, and lastly x = -2.

So the solution for x in the system is x = -2 (option a.).

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Answer:

14 are red

Step-by-step explanation:

Let's identify the 2 types of transactions Juan machines do:

w : changes 1 white token into 4 red tokens (gain: 3 tokens overall)

r : changes 1 red token into 3 white tokens (gain: 2 tokens overall)

We know that Juan does 11 trades, so we can say:

w + r = 11

Overall, Juan started with 4 tokens and ends with 31... so, gain of 27 tokens.

We can model this as:

3w + 2r = 27

(3w because each w transaction, he gains 3 tokens, 2r because every r transaction, he gains 2 tokens).

From first equation we get r = 11 - w, which we place in the second equation:

3w + 2 (11 - w) = 27

3w + 22 - 2w = 27

w = 5, so r = 6 (from first equation).

Now, we know Juan did 5 w transactions and 6 r transactions.  But how many token of each color does he have?

Start: 4W (4 White chips)

He does 4 w transactions, he now has 16R tokens

He does 6 r transactions, he now has 10 (16-6) R tokens, plus 18 W tokens

He does another w transaction, he now has 14 R (10 + 4), plus 17 W(18-1) tokens

He did 11 transactions, and he has 31 tokens at the end, out of which 14 are red.

Answer:

jamie has 24 and kristen is 12

Step-by-step explanation:

jamie is twice  kristan which is 12+12

then 12 puls 24 is 36

For this case we have to:

Let x be the variable that represents the amount of money Jamie has.

Let y the variable that represents the amount of money that Kristen has

We have to:

[tex]x = 2y\\x + y = 36[/tex]

We substitute the first equation in the second:

[tex]2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12[/tex]

Looking for the value of x:

[tex]x = 2y\\x = 2 (12)\\x = 24[/tex]

Answer:

So, Jaime has $ 24 and Kristen has $ 12.

Answer:

the mean is 73.4

Step-by-step explanation:

you add all the  numbers which equals to 367

then divide by 5

Answer:

Final answer is [tex]S_n=565.5[/tex].

Step-by-step explanation:

Given that [tex]a_1=12[/tex], [tex]a_n=75[/tex], and [tex]n=13[/tex].

Using those values, we need to find the value of [tex]S_n[/tex].

Plug these values into sum formula :

[tex]S_n=\frac{n}{2}\left(a_1+a_n\right)[/tex]

[tex]S_n=\frac{13}{2}\left(12+75\right)[/tex]

[tex]S_n=\frac{13}{2}\left(87\right)[/tex]

[tex]S_n=\frac{1}{2}\left(1131\right)[/tex]

[tex]S_n=565.5[/tex]

Hence final answer is [tex]S_n=565.5[/tex].

Answer:

D) no solution

Step-by-step explanation:

1/ (x-2) + 1/(x+2) = 4/(x^2-4)

x cannot equal 2 or -2 since that would make our fractions equal 1/0 or be undefined

Factor the term on the right

1/ (x-2) + 1/(x+2) = 4/(x-2)(x+2)

Multiply both sides by (x-2) (x+2)

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

Distribute

x+2 + (x-2) = 4

Combine like terms

2x = 4

Divide by 2

2x/2 = 4/2

x =2

But this is not a possible solution since that is not in the domain

The would both be correct in it's own way depending on how the teacher is teaching.

Both Joel and Sara are correct. Their expressions represent the combined earnings accurately, considering hourly wage and bonus.

To determine who is correct, let's first break down the earnings for each person:

1. Joel:

  - Hourly wage: $9.75

  - Bonus: $18

  Joel's total earnings can be calculated using the formula provided: [tex]\(9.75j + 18\)[/tex], where [tex]\(j\)[/tex] represents the number of hours Joel worked.

2. Sara:

  - Hourly wage: $9.75

  Sara's total earnings can be calculated using the formula provided: [tex]\(9.75(j + S)\)[/tex], where [tex]\(S\)[/tex] represents the number of hours Sara worked.

Now, let's expand both expressions and see which one correctly represents the combined earnings of Joel and Sara.

Joel's expression: [tex]\(9.75j + 18 + 9.75S\)[/tex]

Sara's expression: [tex]\(9.75j + 9.75S + 18\)[/tex]

Comparing the two expressions, we see that both expressions have the same terms: [tex]\(9.75j\)[/tex], [tex]\(9.75S\)[/tex], and [tex]\(18\)[/tex]. The order of terms is different, but mathematically it doesn't matter since addition is commutative.

So, both Joel and Sara are correct. They just wrote their expressions in a different order, but the mathematical result is the same. They both correctly accounted for their hourly wage and the bonus.

Answer:

5, 7, 9, 11

Step-by-step explanation:

Solve the inequality

w - 4 < 8 ( add 4 to both sides )

w < 12

w ∈ { 5, 7, 9, 11 }

Answer:

10

Step-by-step explanation:

You have to go up 10 places to get from the first point to the second

You also have to go 1 place to the right

Since the slope is Y/X, the slope of this line is 10/1

X+2y<4; 2y<-x+4; y<(-x/2)+2

Option 3

Answer:

Step-by-step explanation:

[tex]\bf (\stackrel{x_1}{8}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{-9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-9-(-9)}{14-8}\implies \cfrac{-9+9}{6}\implies \cfrac{0}{6}\implies 0[/tex]

Answer:

option B

Step-by-step explanation:

Given in the question an equation y = (x+3)² + (x+4)²

Step 1

Expand this equation

y = (x+3)² + (x+4)²

y = (x²+9+6x) + (x²+16+8x)

y = 2x² + 14x + 25

Step 2

Find the minimum point of the parabola equation,  y = 2x² + 14x + 25

y = ax² + bx +c

x = -b/2a

  = -14/2(2)

  = -14/4

 = -7/2

Step 3

Find the vertex point by plugging value of x in the equation

y = 2(-7/2)² + 14(-7/2) + 25

  = 49/2 - 49 + 25

  = 1/2

vertex (h,k)

vertex (-7/2 , 1/2)

Step 4

vertex form

y = a(x - h)²+ k

y = 2(x + 7/2)² + 1/2

Answer:

The equation is        y = - 1/2 x+7

Step-by-step explanation:

2 x  + 4y = 6  

4y = -2 x +6  

Divide both sides  by 4  

y = - 1/2 x + 3/2  

y=mx+b  

slope m = - 1/2  

The slope of a line parallel to another  line will be the same  

The slope of the required line will be - 1/2  

m= - 1/2 ,point ( 6 , 4 )

Plugging the values of m  and  the point in  

y=mx+b  

4 = -3 + b  

b= 7  

m= - 1/2  

Plug values   y = mx +b  

y = - 1/2 x+7

Answer:

% decrease in the cost= 6114/23782⋅100=25.71%

Step-by-step explanation:

The decrease in the cost =$23782−$17668=$6114

Hence, % decrease in the cost=6114/23782⋅100=25.71%

the decrease is 23782 - 17668 = 6114.

if we take 23782 to be the 100%, what is 6114 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 23782&100\\ 6114&x \end{array}\implies \cfrac{23782}{6114}=\cfrac{100}{x}\implies 23782x=611400 \\\\\\ x=\cfrac{611400}{23782}\implies x\approx 25.71[/tex]

Answer:

57°

Step-by-step explanation:

ALL angles in a triangle add up to 180°

SO, if we know the sum of two angles which is 123° (why: 33+90=123), all we have to do is subtract this number from 180 to get the measure of the 3rd angle. Which in this case is 57°

The measure of angle B will be 57° for the given triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right angle triangle, equilateral triangle, and much more.

The sum of all three interior angles of any triangle is 180°.

So,

A + B + C = 180°

Given,

A = 33°  and C = 90°

33°  + B + 90°  = 180°

B = 180 - (90 + 33)

B = 180°  - 123°  

B = 57°

Hence, The measure of angle B will be 57° for the given triangle.

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Answer:

C

Step-by-step explanation:

The oranges cost $4 per 2 lbs which is 4/2=$2 per lb. Option C has peaches at $6 for 3 lbs which is 6/3 =$2 per lb.

Answer:

C. Peaches at $6.00 Dollars for 3 pounds

Step-by-step explanation:

find the oranges $ per pound.

4 divided by 2 = 2

match it to each answer (example bellow, correct one)

6 divided by 3 = 2

Oranges per pound = $2.00

Peache per pound = $2.00

C.)

Hope this helped!

Lunar Rose Moon.

Answer: 3,600,000 cm³

Step-by-step explanation: First you have to convert all the units into centimeters,

2 meters = 200 centimeters

1.5 meters = 150 centimeters

To find the volume of a rectangular prism you multiply all the sides.

120 * 200 * 150 = 3,600,000

The answer is 3,600,000 cubic centimeters.

The volume of a rectangular prism with the given dimensions is 3.6 cubic meters.

The dimensions of a rectangular prism are 120 centimetres(1.2 meters) by 2 meters by 1.5 meters.

The formula to find the volume of a rectangular prism is l×b×h.

Now, volume=1.2×2×1.5=3.6 cubic meters.

Therefore, the volume of a rectangular prism is 3.6 cubic meters.

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Answer:

Surface Area= 144

Step-by-step explanation:

To find the area of the triangle you would multiply the base times the height and divide it by 2. 9x6/2=27. For one triangle the area is 27. Since there are 4 you would multiply it by 4. 27x4= 108. This will give you 108. Now all you need to do is add the square which is 6x6= 36. 108+36=144.

20%

My equation:

15*100=1500

1500/75=20

The answer would be 20% off hope this helped!

Answer:

The surface area is approx. 1017.9 in^2.

Step-by-step explanation:

Total surface area of cone = πrl + πr^2. Since the radius is 12 in. and the slant height is 15 in, substitute 12 for r and 15 for l.

A = π(12)(15) + π(12)^2

    = 180π + 144π

    = 324π in^2

    ≈ 1017.9 in^2

Hope this helps!

So, you want to calculate the interest on $300 at 5% interest per year after 7 years.

The formula we'll use for this problem is:

Where:

To find the simple interest, we multiply 300 x 0.05 x 7 to get that:

                                         The interest is: $105.00

Answer:

The correct answer is last option

$105.00

Step-by-step explanation:

Points to remember

Simple interest

I = PNR/100

Where P - Principle amount

N - Number of years and

R - Rate of interest

To find the simple interest

Here P = $300, R = 5% and N = 7 years

I = PNR/100

 = (300 * 5 * 7)/100

 = 3 * 5 * 7

 = 105

Therefore simple interest after 7 years = $105

The correct answer is last option

Answer:

the answer is the (1.645 over root of n) on e 2020

Step-by-step explanation:

Answer:The answer is  D

Step-by-step explanation: Hope this helps

Answer:

Vertex(3,-4) and y-int (0,5)

Zeroes are (1,0) and (5,0)

Step-by-step explanation:

Answer:

The solutions of the given graph are 1 and 5. The vertex of the graph is (3,-4) and the y-intercept of the graph is 5.

Step-by-step explanation:

From the given graph it is clear that it intersect the x-axis at (1,0) and (5,0).

Therefore the solutions of the given graph are 1 and 5.

Vertex of the parabola is the extreme point of the graph.

From the given graph it is clear that the the turning point or the extreme point of the graph is (3,-4).

Therefore the vertex of the graph is (3,-4).

The given graph intersect the y-axis at (0,5).

Therefore the y-intercept of the graph is 5.

HOPE THIS WILL HELP YOU

Answer:b

Step-by-step explanation:

Answer: D

If there are 713 slices, and each pizza is divided into pieces, then you would divide.

713÷8=89.125. Round up and you get:

90.

Hope this helps and have a great day!!!

For this case we must indicate the number of whole pizzas needed for the company. For this we propose an equation.

Let "x" be the variable that represents the number of whole pizzas, then:

[tex]8x = 713[/tex]

We divide between 8 on both sides of the equation:

[tex]x = \frac {713} {8}\\x = 89,125[/tex]

90 pizzas are needed

ANswer:

Option D

Answer:

it is 48 hope this helps

Step-by-step explanation:

The solution of expression is,

⇒ 48

We have to given that,

An expression to solve,

⇒ 12 × 4

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Hence, We get;

⇒ 12 × 4

⇒ 48

Thus, The solution of expression is,

⇒ 48

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