MATHEMATICS HIGH SCHOOL

a type of brass is made by combing copper and zinc in a 8:2 ratio. if you want to make 2kg of brass, how many grams of copper do you need

Answers

Answer 1
Answer:

Answer:

2.5gramsofCopper

Step-by-step explanation:

• Total ratio = 8 + 2 = 10

Let the grams of copper be y

{ \tt{ (8)/(10) * y = 2 }} \n \n { \tt{8y = 2 * 10}} \n { \tt{8y = 20 \: \: \: \: \: \: \: \: \: }} \n { \tt{y = 2.5}}

Grams of copper = 2.5 g

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Multiple choicePoint M is the midpoint of segment QR. If QM = 2x + 5 and MR = 5x – 1, find the length of QR.

A) QR = 8
B) QR = -9
C) QR = 9
D) QR = 18

Answers

Answer: choice D) 18

Explanation:

M is the midpoint of QR, so QM = MR, meaning that the two smaller pieces are equal (the two pieces combine back to QR)

Use substitution and isolate x

QM = MR

2x+5 = 5x-1

2x-5x = -1-5

-3x = -6

x = -6/(-3)

x = 2

If x = 2, then QM is

QM = 2x+5 = 2*2+5 = 9

and MR is

MR = 5x-1 = 5*2-1 = 9

both are 9 units long. Both are the same length as expected, so this helps confirm the answer.

The last thing we do is add up the two pieces QM and MR to get the length of QR. This is using the segment addition postulate.

QR = QM + MR

QR = 9 + 9

QR = 18

note: a negative length is never possible in any situation, so you can immediately eliminate choice B from the list of possible answers without even doing any math.

Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25

Answers

Answer:

The required expression is4x^2-25

Step-by-step explanation:

The difference of squares formula is given by

(a+b)(a-b)=a^2-b^2

We have been given that one factor is 2x+5. Hence, a = 2x, b = 5

It means that other factor must be (a-b) = (2x-5)

Hence, in order to find the expression, we can multiply the factors.

(2x+5)(2x-5)

Using the difference of squares formula

(2x+5)(2x-5)\n\n=(2x)^2-5^2\n\n4x^2-25

Therefore, the required expression is4x^2-25
I hope this helps you

A broker/dealer bought ABC stock at 8 for its inventory position. A month later when the inter-dealer market for ABC was 10.50 -- 11.25, the broker/dealer sold the stock to a customer. The basis for the dealer's markup will be:[A] 8.00[B] 8.75[C] 10.50[D] 11.25

Answers

Answer:

[D] 11.25

Step-by-step explanation:

Broker/dealers must trade with customers based on the current bid and ask.

10.50 Bid for customers selling

11.25 Ask for customers buying

The diagram shows a patio in the shape of a rectangle.The patio is 3.6m long and 3m wide.

Mathew is going to cover the patio with paving slabs. Each paving slab is a square of side 60cm.

Mathew buys 32 of the paving slabs.

A) Does Mathew buy enough paving slabs to cover the patio?

The paving slabs cost £8.63 each

B) Work out the total cost of the 32 paving slabs.

Answers

if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio and  £276.16 is the total cost of the 32 paving slabs.

What is a Rectangle ?

A rectangle is a polygon with 4 sides , in which opposite sides are parallel and equal .

It is given that the patio has  length of 3.6 m and width of 3 m

Each paving slab is a square having side 60 cm or .6 m

Area of a rectangle is given by

length * width

3.6*3

10.8 m²

Area = 10.8 m²

Area of a slab = 0.6 *0.6 = 0.36 m²

No. of slabs needed = n

10.8 = 0.36* n

n = 30 slabs

So if Mathew has bought 32 slabs , he has enough paving slabs to cover the patio.

If the paving cost costs £8.63

The total cost for 32 slabs will be 32 * £8.63

= £276.16

To know more about Rectangle

brainly.com/question/15019502

#SPJ2
A-pario\ area\n A=3.6*3=10.8m^2\n A_2-slab\ area\n A_2=60cm*60cm=3600cm^2=0.36m^2\n 0.36m^2*32=11.52>10.8\n 32\ is\ enough\n\n 8.63*32=276.16-total\ cost

Eight less than seven times a number is the same as for l four more than three times a number. Find the number.

Answers

Question :- Eight less then seven times a number is the same as for l four more than three times a number. Find the number.

Answer :-

Let the number be x

Therefore,

=> 8-7x = 4+3x

=> 8-4 = 3x+7x

=> 4 = 10

=> X = 5/4

Hope it helps!

Mary Jackson gets a student rate of $27.50 a month for health insurance. There is a $200 deductible, but no coinsurance payment. She recently received treatment for a covered condition. The bill was $2,350.00 Mary's insurance company provided payment of 80% of the bill less the deductible.What was the company's payment? $

What was Mary's total cost (ignoring the monthly premium)? $

Answers

$2350 -$200= $2150 * 80% = $1720

What was the company's payment? $1720

$2350 - $1720 = $630


What was Mary's total cost (ignoring the monthly premium)? $ 630

Answer:

1. 1720

2. 630

Step-by-step explanation:
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