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2 years ago

Use the information given to enter an equation in standard form.

Mathematics

2 answers:

erik [133]2 years ago

8 0

The answer is 2x-y=-2

Natasha_Volkova [10]2 years ago

3 0

Answer:

2x - y = -2

Step-by-step explanation:

$m=\frac{y^2-y^1}{x^2-x^1}$

$m = \frac{10-12}{4-5} =\frac{-2}{-1} =2$

$10=2(4)+b\\10=8+b\\2=b\\y=2x+2\\2x-y=-2$

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Find the length of x

zaharov [31]

Answer:

The answer is 2

Step-by-step explanation:

The hypotenuses of the triangles are different. One is 4 and the other is 5.

Lets use ratios to find the relationship of the hypotenuse and the base.

2.5:5

Turn this into a fraction

2.5/5

Now divide

2.5/5 = 0.5

The base of the triangle is half the length of the hypotenuse.

So 4 is x’s hypotenuse so:

4 x 0.5 = 2

X = 2

6 0

2 years ago

2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there

Marina CMI [18]

Answer:

23 marbles

Step-by-step explanation:

3 groups of 7 = 21 +2 = 23

4 groups of 5 = 20 +3 = 23

3 0

2 years ago

70% of 90 please give right answerrr

Natali5045456 [20]

Answer: 63

Step-by-step explanation: To find 70% of 90, first write 70% as a decimal by moving the decimal point two places to the right to get .70.

Next, the word "of" means multiply, so we have (.70)(90) which is 63.

So 70% of 90 is 63.

8 0

2 years ago

A tennis ball can in the shape of a right circular cylinder holds four tennis balls snugly. If the radius of a tennis ball is 3.

Volgvan

Answer:

about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

<h3>Volume of a cylinder</h3>

The volume of a cylinder of diameter d and height d will be ...

V = πr²h = π(d/2)²(d) = (π/4)d³

<h3>Volume of a sphere</h3>

The volume of a sphere of diameter d is ...

V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

<h3>Unoccupied space</h3>

The fraction of space that is occupied is ...

occupied space = (sphere volume)/(cylinder volume)

occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

unoccupied fraction = 1 -2/3 = 1/3

unoccupied fraction ≈ 33.3%

3 0

1 year ago

Read 2 more answers

A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Ad

astra-53 [7]

Answer:

$397.34 (if he sold the 20 leftover hot dogs), $297.34 if he didn't.

Step-by-step explanation:

We are going to assume that a month has 30 days.

First, we are going to see how much money the vendor got from selling the 80 hot dogs. He sold 80 hot dogs at 20 dollars/piece = 1600 dollars.

We need to subtract the amount of money he spent in each hot dog (12 dollars in raw material plus one dollar for packing): 13 dollars x 100 hot dogs he prepared = 1300 dollars

He also spends a total of 80 dollars per month in truck rent, electricity and other expenses. If we divide this by the amount of days per month we have: 80/30 = 2.66

The problem doesn't tell us that there were unhappy customers that day so that amount is zero.

We are going to assume that the vendor sold the remaining 20 hot dogs at 5 dollars/piece. 20 x 5 = 100.

Thus, the profit for that day is:

1600 - 1300 - 2.66 + 100 = 397.34

<u>(</u><u>Note:</u><u> If the vendor did not sell the leftover hot dogs and he actually only sold 80 hot dogs, then the profit would be: 1600 - 1300 - 2.66 = 297.34)</u>

6 0

2 years ago