Answer ASAP Please! just the top part

Answers

Answer 1

Answer: It might be double the hundred like 2000 to 4000 so I think 100 to 200 but I might be wrong

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Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. She has 3 bags of clay that weigh 4/5 pounds each. How many bags of clay will Eva need to make both pieces of pottery? How many pounds of clay will she have left?

Answers

we know that

Eva needs $(3)/(5)$ pound of clay for one piece and $(7)/(10)$ pound of clay for the other piece

Step 1

Find the total pound of clay for the two pieces

$(3)/(5) +(7)/(10) =((2*3+7))/(10) \n \n =(13)/(10) pounds$

Eva has $3$ bags of clay that weigh $(4)/(5)$ pounds each.

Step 2

Find the total weigh of the $3$ bags of clay

$3*(4)/(5) =(12)/(5) pounds$

Part a ) How many bags of clay will Eva need to make both pieces of pottery?

by using proportion

$(1)/((4)/(5)) =(x)/((13)/(10)) \n \n (13)/(10) =(4)/(5) x\n \n x=(5*13)/(4*10) \n \n x=(65)/(40) \n \n x=1.625bags$

therefore

the answer Part a)

she needs $2$ bags

Part b) How many pounds of clay will she have left?

Calculate the total weigh of the $3$ bags of clay minus the total pound of clay for the two pieces

$(12)/(5) -(13)/(10) =((2*12-13))/(10) \n \n =((24-13))/(10) \n \n =(11)/(10) \n \n =1(1)/(10) pounds$

therefore

the answer Part b) is

$1(1)/(10) pounds$

Final answer:

To make both pieces of pottery, Eva will need a total of 1.3 pounds of clay. As each bag contains 4/5 pounds, she needs to buy 2 bags. After creating the pottery, Eva will have 0.3 pounds of clay left over.

Explanation:

Firstly, we need to identify how much clay Eva needs in total to create both pieces of pottery. For the first piece, she needs 3/5 pound and for the second piece, she needs 7/10 pound of clay. Adding these together provides: $3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1.3$ pounds which is the total amount of clay needed.

Each bag of clay she has weighs 4/5 pound. To calculate how many bags she needs, divide the total amount of clay required by the weight of each bag: 1.3 ÷ 4/5 = 1.625. As she can't have a fraction of a bag, she will need 2 bags of clay to have enough to create both pieces of pottery.

To calculate how much clay she will have left, we need to subtract the clay she will use from the total clay she buys: (2 bags * 4/5 pound per bag) - 1.3 pounds = 1.6 - 1.3 = 0.3 pounds. Therefore, Eva will have 0.3 pounds of clay left over.

Learn more about Clay Calculation here:

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Explain how to use the missing pieces strategy to compare two fractions. Include a diagram with your explanation.

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The missing pieces strategy is another method to compare two fractions. To tell which number is larger, you need to see which one is missing less. For example, you have 3/4 versus 4/5. Each of these fractions needs 1 to complete the whole. You need to subtract the numerator with one to compare them. For 3/4 we have 1/4 and for 4/5 we have 1/5. You know that if you complete 4/5 you will get 4. You know that 5 is greater than four. Therefore, 4/5 is larger than 3/4.

The spray from a lawn sprinkler makes a circle 40 feel in radius. What are the approximate diameter, circumference, and area of the circle of lawn watered

Answers

Our first step is to figure out what formulas are needed for diameter, circumference, and area of a circle.

Diameter is simply twice the size of the radius so:
2 * radius = 2 * 40 feet = 80 ft.

Circumference = 2 * pi * radius = 80 ft * pi
If we say that pi = 3.14, then:
circumference = 251.2 ft.

Area = pi * radius^2 = pi * 1600 ft^2
Once again, if we assert pi = 3.14, then:
area = 3.14 * 1600 ft^2 = 5024 ft^2.

Consider the system below. 4x-2y=-12 3x-y=-3 Solve the system by using a matrix equation. Show your work.

Answers

The matrix equation AX=B, where A and B are numerical matrices and X is unknown matrix has a solution $X= A^(-1) B$ , where $A^(-1)$ is inverse matrix of X.
1. We rewrite given system as matrix equation $\left[\begin{array}{cc}4&-2\n3&-1\end{array}\right] X=\left[\begin{array}{c}- 12\n- 3\end{array}\right]$ ;
2. Find $A^(-1) = \left[\begin{array}{cc}4&-2\n3&-1\end{array}\right] ^(-1)$ by the rule $A^(-1)= (1)/(det \ A) [ A_(ij) ] ^(T)$ . So, $det\ A=4$ × $(-1)-3$ × $(-2)=-4+6=2$ and algebraic supplements are
$A_(11) =-1 \n A_(12) =-3 \n A_(21)=2 \n A_(22) =4$ . Then $A^(-1) = (1)/(2) \left[\begin{array}{cc}-1&-3\n2&4\end{array}\right] ^(T)= \left[\begin{array}{cc}- (1)/(2) &1\n- (3)/(2) &2\end{array}\right]$ ;
3. Calculate $X= \left[\begin{array}{cc}- (1)/(2) &1\n- (3)/(2) &2\end{array}\right] \left[\begin{array}{c} -12\n-3\end{array}\right]=$ $\left[\begin{array}{c}3\n12\end{array}\right]$ ;

4. We obtain $X= \left[\begin{array}{c}3\n12\end{array}\right]$ , from where x=3 and y=12.

The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.

Answers

$n=(1)/(2)(n+1)+10\n 2n=n+1+20\n n=21\n n+1=22$

21 and 22

Is 25/40 proportional to 15/24

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Cross Multiply. 25 * 24 and 40 * 15
Yes, they are proportional

YES THEY ARE YOU JUST CROSS MULTIPLY THEM DIAGNAL AND THEN MAYBE DIVIDED IT BOTH THEN THERE ARE PROPORTIONAL.

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