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2 years ago

Faith started last week with $1,100 in her checking account. During the week, she wrote the checks below.

Mathematics

2 answers:

quester [9]2 years ago

6 0

Answer:

the correct answer is A

Step-by-step explanation:

Sunny_sXe [5.5K]2 years ago

5 0

Answer:

A- Faith did a good job; everything is correct.

Step-by-step explanation:

Her final balence is correct, and she organized her check register correctly.

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For his coffee shop, Abdul wants to make a mocha-java blend that will sell for $18/kg. The mocha coffee beans sell for $20/kg, a

djverab [1.8K]

30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg

Solution:

Let "x" be the kilogram of mocha coffee beans

Let "y" be the kilogram of java coffee beans

Cost of 1 kg of mocha coffee bean = $ 20

Cost of 1 kg of java coffee bean = $ 15

Kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend

Cost of 1 kg of mocha java blend = $ 18

From given information,

Mocha coffee beans and java coffee beans are mixed to get 50 kg of blend

Therefore,

$x + y = 50 ------------ eqn 1$

Abdul wants to make a mocha-java blend that will sell for $18/kg

Therefore, we frame a equation as:

(kilogram of mocha coffee beans) x (Cost of 1 kg of mocha coffee bean) + (kilogram of java coffee beans) x (Cost of 1 kg of java coffee bean) = Cost of 1 kg of mocha java blend x 50 kg

Thus we get,

$x \times 20 + y \times 15 = 18 \times 50\\\\20x+15y = 900 ------------ eqn 2$

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 50 - y -------- eqn 3

Substitute eqn 3 in eqn 2

20(50 - y) + 15y = 900

1000 - 20y + 15y = 900

5y = 100

Substitute y = 20 in eqn 3

x = 50 - 20

Thus 30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg

3 0

2 years ago

A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?

Dima020 [189]

Answer:

48 Cubic Inches

Step-by-step explanation:

One foot, whether it be squared, cubed, or otherwise changed, will always equal twelve inches to the same power. So, 4 cubic feet is 48 cubic inches because 4*12=48

5 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Arada [10]

If $y=3x^2+30x+71$ , then
$y=3(x^2+10x)+71=3(x^2+2\cdot5x+25-25)+71$
$y=3((x+5)^2-25)+71=3(x+5)^2-75+71=3(x+5)^2-4$ . So, in the first gap you can write 5 and in the second you can write -4.
Since $(x+5)^2\ge 0$ , the minimum value of y is when $(x+5)^2=0$ . The solution of the last equation is x=-5 and then y=-4 -- these are numbers, which you can write in the third and fourth gaps.

5 0

1 year ago

Read 2 more answers

The sum of two consecutive even integers divided by four is 189.5

Andre45 [30]

The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380

6 0

1 year ago

George is comparing the sizes of two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on p

Leokris [45]

To answer this question, you need to makes the unit of the smartphone screen same. In this case, phone A is using decimal and phone B is using a fraction. You can use which was easier.
Let's try to use decimal. Then you need to convert phone B fraction width into decimal width. The calculation would be: 5cm + 1/3cm= 5 cm + 0.333cm= 5.333cm
From here it clear that phone B has a wider screen than phone A.

8 0

1 year ago

Read 2 more answers