A metalworker has a metal alloy that is 30% copper and another alloy that is 55% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 50% copper alloy? The metal worker should use (blank) kilograms of the metal alloy that is 30% copper and (blank) kilograms of the metal alloy that is 55% copper. (show your work)

[tex] \frac{ {11}^{4} }{ {11}^{ - 1} } = {11}^{4} \times 11 = {11}^{5} = 161051[/tex]

[tex] {x}^{ - 1} = \frac{1}{x} [/tex]

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

Answer:

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^4}{11^{-1}}=11^{4-(-1)}=11^{4+1}=11^5[/tex]

Answer:

i am smort

Step-by-step explanation:

q

To solve the given system of inequalities, we can solve each inequality separately and then find the intersection of their solution sets. The solution set is x≤5.

To solve the given inequality 3x-8≤23 or -4x+26≥6, we can solve each inequality separately and then find the intersection of their solution sets.

For the first inequality, 3x-8≤23, we add 8 to both sides and then divide by 3 to isolate x: 3x≤31, x≤31/3.

For the second inequality, -4x+26≥6, we subtract 26 from both sides and then divide by -4 to isolate x: -4x≥-20, x≤5.

Since x must satisfy both inequalities, the solution set is x≤5 and x≤31/3. Taking the smaller value, we have x≤5.

Answer:

80 points

Step-by-step explanation:

28+35=63.

63+17=80.

Hope this is addition.

That simple

By adding the points scored in each game, we find that the football team scored a total of 80 points in all three games.

To find the total number of points the football team scored in all three games, we simply have to add the points scored in each game together. So, in the first game the team scored 28 points, in the second game they scored 35 points, and in the third game they scored 17 points. If we add these scores together (28 + 35 + 17), we get a total of 80 points. Therefore, the football team scored 80 points in all three games.

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Answer:

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Mileage included with the rental = 54 miles

Additional mile over 54 miles = US$ 1 4/5

Distance finally driven by Thomas = 69 miles

2. Let's calculate how much additional money Thomas needs to pay.

Extra miles driven by Thomas = Distance finally driven - Mileage included

Extra miles driven by Thomas = 69 - 54

Extra miles driven by Thomas = 15

Cost of the additional miles = 15 * 1 4/5

Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80

Cost of the additional miles = 27

Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.

Note: Same answer to question 14038906, answered by me.

Answer:

[tex]\large\boxed{1.1(3)=1\dfrac{2}{15}=\dfrac{17}{15}}[/tex]

Step-by-step explanation:

[tex]1.1(3)=1+0.1(3)=1+0.1333...\\\\\text{Let}\ x=0.1333...\qquad\text{multiply both sides by 10}\\\\10x=1.333...\qquad\texT{multiply both sides by 10}\\\\100x=13.333...\qquad\text{make different}\\\\100x-10x=13.333...-1.333...\\\\90x=12\qquad\text{divide both sides by 90}\\\\x=\dfrac{12}{90}\\\\x=\dfrac{12:6}{90:6}\\\\x=\dfrac{2}{15}[/tex]

Answer:

300

Step-by-step explanation:

9 rounds it up

Answer:

10

Step-by-step explanation:

Mr morton initially had 60 bird houses.

He sold 10 to one store.

So left number of birdhouses = 60 - 10 = 50.

He sold them equally to 5 stores,

So, each of them will get [tex]\frac{50}{5}[/tex] = 10 bird houses.

So,

He sold 10 birdhouses to each of the other 5 stores.

Science Quiz: 42.8571429%

Math Quiz: 39.1304348%

Take the amount of answers correct out of the total, divide it, and then multiply by 100. In this case, Science has a higher score.

The percentage of correct answers for the science quiz is 57.14%, while for the math quiz it's 60.87%. Therefore, the student had a higher percentage of correct answers on the math quiz.

You determine the percentage of correct answers on each quiz by dividing the number of correct answers by the total number of questions on each quiz respectively.

For the science quiz, you answered 4 out of 7 questions correctly since you missed 3 out of 7. The percentage of correct answers for the science quiz is thus (4/7)*100 = 57.14%.

For the math quiz, you answered 14 out of 23 questions correctly since you missed 9 out of 23. The percentage of correct answers for the math quiz is thus (14/23)*100 = 60.87%.

Therefore, you had a higher percentage of correct answers on the math quiz than on the science quiz.

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Answer:

x=45/2

Step-by-step explanation:

4/9=10/x

cross product

9*10=4*x

90=4x

x=90/4

simplify

x=45/2

Answer:

x - y = 4

x + y = 4

Step-by-step explanation:

Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).

- x - y = 4

- (4) - 0 = 4

-4 = 4

LS≠RS

x - y = 4

4 - 0 = 4

4 = 4

LS=RS

2 x + y = 7

2(4) + 0 = 7

8 = 7

LS≠RS

2 x + y = -7

2(4) + 0 = -7

8 = -7

LS≠RS

x + y = 4

4 + 0 = 4

4 = 4

LS=RS

2 x - y = 7

2(4) - 0 = 7

8 - 0 = 7

8 = 7

LS≠RS

Only x - y = 4  and x + y = 4  intersect at (4, 0).

Answer:

B and E sorry not sooner

Step-by-step explanation:

Answer:

5y² + 5y - 11

Step-by-step explanation:

The length of a wooden beam is as a function of y

L(y) = 6y² +  5y + 1

and a piece of length  y²  - 12 is cut off the remaining piece is

6y² +  5y + 1 - y²  - 12  =  5y² + 5y - 11

To find the remaining length of the wooden beam, subtract the length of the cut-off piece from the original polynomial. Simplify the expression to get the final answer: 5y² + 5y + 13 meters. This represents the remaining length of the beam.

Finding the Remaining Length of the Wooden Beam:

We start with the original length of the wooden beam given by the polynomial 6y² + 5y + 1 meters.

We need to subtract the length of the piece that was cut off, which is given by the polynomial y² - 12 meters.

First, write down the original length of the beam:

6y² + 5y + 1

Next, identify the length of the piece cut off:

y² - 12

Subtract the second polynomial from the first:

(6y² + 5y + 1) - (y² - 12)

Simplify the expression by combining like terms:

6y² - y² = 5y²

5y remains unchanged.

1 - (-12) = 1 + 12 = 13

So, the remaining length of the beam is:

5y² + 5y + 13

The remaining length of the wooden beam, expressed as a polynomial in y, is 5y² + 5y + 13 meters.

Answer:

[tex]69,658\ employees[/tex]

Step-by-step explanation:

we know that

16,300 employees represent 23.4%

so

using proportion

Find out how many employees represent 100% (total employees of the company)

Let

x -----> total employees of the company

[tex]\frac{16,300}{23.4\%}=\frac{x}{100\%}\\\\x=16,300(100)/23.4\\\\x=69,658\ employees[/tex]

Answer:

Step-by-step explanation:

[tex]x^2-36=5x\qquad\text{subtract}\ 5x\ \text{from bot sides}\\\\x^2-5x-36=0\\\\x^2+4x-9x-36=0\qquad\text{distribute}\\\\x(x+4)-9(x+4)=0\\\\(x+4)(x-9)=0\iff x+4=0\ \vee\ x-9=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\\x=-4<0\\\\x-9=0\qquad\text{add 9 to both sides}\\\\x=9>0[/tex]

Answer:

105

Step-by-step explanation:

7(33-18)=7(15)=105

Answer:

Step-by-step explanation:

x - 12 = -4            add 12 to both sides

x - 12 + 12 = -4 + 12

x = 8

Answer:

13.5 ft Cubed

Step-by-step explanation:

This is the same thing as [tex]2*4.5*1.5[/tex]. Now just multiply and you get

[tex]13.5[/tex].

Answer:

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

Answer:

6.50x + 5 = 21.25 is the answer

Step-by-step explanation:

x=2.5

The inequality that represents Tricia's goal to earn at least $21.25 through her $5 allowance and $6.50 per hour from babysitting is E = 5 + 6.50h ≥ 21.25, where h represents the number of hours she babysits.

The student's question asks for an inequality to represent the situation where Tricia receives a $5 weekly allowance and earns $6.50 for each hour she babysits. The goal is to earn at least $21.25 to buy a present.

Let's denote the number of hours Tricia babysits as h. The inequality representing her total earnings E from both her allowance and babysitting will be:

E = 5 + 6.50h ≥ 21.25

This inequality implies that the sum of Tricia's weekly allowance ($5) and her babysitting earnings ($6.50 per hour multiplied by the number of hours h) should be at least $21.25.

The weight of a large box is 18.25 kilograms and the weight of a small box is 15.25 kilograms.

Let's use a system of equations to solve this problem. Let's assume the weight of a large box is 'x' and the weight of a small box is 'y'. Based on the given information, we can set up the following equations:

Now, we can solve this system of equations to find 'x' (the weight of a large box) and 'y' (the weight of a small box).

We can start by multiplying equation 1 by 5 and equation 2 by 2 to eliminate 'x':

Subtracting equation 4 from equation 3:

24y = 366

Simplifying:

y = 15.25

Substituting the value of 'y' back into equation 1 or 2, we can solve for 'x':

Therefore, a large box weighs 18.25 kilograms and a small box weighs 15.25 kilograms.

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To find the width of the rectangle, use the formula Width = Area ÷ Length. Given an area of 28 square meters and a length of 7 meters, the width is 4 meters.

The area of a rectangle is calculated using the formula:

Area = Length × Width

Given that the area is 28 square meters and the length is 7 meters, we can find the width by rearranging the formula:

Width = Area ÷ Length

Substitute the given values into the formula:

Width = 28 square meters ÷ 7 meters = 4 meters

Therefore, the width of the rectangle is 4 meters.

Answer:

the small cup of root beer can hold 8 fl. oz

Step-by-step explanation:

52-36=16

16/2=8

Each small cup holds 8 fl. oz. Together they hold 16 fl. oz. Plus 36 fl. oz. Which equals 52 fl. oz.

Answer:

The equation for the inequality is , c + d = 200  

And , $ 2.50 c + $ 1.25 d = $ 100

Step-by-step explanation:

Given as :

The total quantity of cider and donuts for charity = 200

The price of donuts holes =$ 1.25

The price of cider = $ 2.50

The total price money for the cider and donuts = $ 100

Let the quantity of each donuts = d

And The quantity of cider = c

Now, According to question

The total quantity of cider and donuts for charity = 200

Or, The quantity of cider + the quantity of each donuts = 200

Or, c + d = 200                  ..........A

And , $ 2.50 c + $ 1.25 d = $ 100               ............B

So, Solving equations

2.50 × ( c + d ) = 2.50 × 200

I.e 2.50 c + 2.50 d = 500

And 2.50 c + 1.25 d = 100    

Or, ( 2.50 c + 2.50 d ) - ( 2.50 c + 1.25 d ) = 500 - 100

Or, (2.50 c - 2.50 c ) + ( 2.50 d - 1.25 d ) = 400

Or,  0 + 1.25 d = 400

∴ d = [tex]\frac{400}{1.25}[/tex]

I.e d = 320

The quantity of donuts = 320

Hence  The equation for the inequality is , c + d = 200  

And , $ 2.50 c + $ 1.25 d = $ 100     Answer

To cover their expenses, the troop needs to raise at least $100. The inequality 2.50x + 1.25y ≥ 100 represents this goal. The primary topic is solving and graphing inequalities in two variables.

To write an inequality to represent the troop's goal, we can calculate the minimum amount of money they need to raise. Let x represent the number of gallons of cider sold and y represent the number of boxes of donut holes sold. The total amount of money raised can be given by the inequality 2.50x + 1.25y ≥ 100.

We can graph this inequality on a coordinate plane. Let's assume x represents the horizontal axis and y represents the vertical axis. To graph the inequality, we can first plot the line 2.50x + 1.25y = 100, which represents the equality. Then, since the inequality is ≥, we shade the region above the line to represent all the possible solutions that satisfy the inequality.

The primary topic of this question is solving and graphing inequalities in two variables.

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Answer:

Try to include yes 0.30

Step-by-step explanation:

That is because we have to check the top and the bottom the add and multiply

Answer:

a.) $0.30 cents is the answer

Step-by-step explanation:

.75 • .4

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

[tex]\frac{44}{100}\times 100[/tex]

[tex]=0.44\times 100[/tex]

[tex]=44[/tex]

So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

Answer:

A I think

Step-by-step explanation:

49.1+ 90

Answer:

C

Step-by-step explanation:

Find the average of the two test scores.

(49.1 + 90)/2

139.1/2

69.55 ⇒ which is grade C

Answer:

Step-by-step explanation:

Since you know that she bikes 2.625 miles to and from, times that by 2 to get the daily miles biked, 5.25 miles.

With this, do 5.25*5 to get the weekly miles biked, 26.25 miles.

Next, do 26.25*29 to get the miles total in 29 weeks, 761.25 miles.

So, Kristina bikes 761.25 miles in 29 weeks for her job.

Answer:

Can you explain the question?

Step-by-step explanation:

Final answer:

The simple interest rate for Thomas' car loan is 3.33%.

Explanation:

To find the simple interest rate for Thomas' car loan, we need to use the formula for simple interest:

Simple Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $4800 and the monthly payment is $96. The time is 60 months. We can rearrange the formula to solve for the rate:

Rate = Simple Interest / (Principal x Time)

Plugging in the values:

Rate = 96 / (4800 x 60) = 0.0003333

So, the simple interest rate for Thomas' car loan is 0.03333 or 3.33%.

Answer:

C) -2(9+32n)

Step-by-step explanation:

(-18)-64n=-18-64n

---------------------------

A) -2(9-32n)=-18+64n

B) 2(9-32n)=18-64n

C) -2(9+32n)=-18-64n

D) 2(9+32n)=18+64n

-----------------------------------

The answer is C.