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lisov135 [29]
3 years ago
15

Write an equation that is 10 less than 3 times a number y, multiplied by 2 and divided by 4. (10 less than 3 times a number y is

to be done first)
Mathematics
2 answers:
IgorC [24]3 years ago
8 0

Answer: (3y - 10)*2÷4

Step-by-step explanation:

Because 10 less than 3 times a number, y, is done first, it is in parenthesis.  The 3 is there to represent the "three times" and the -10 is there to represent the "ten less".  The *2 is there to represent the "multiplied by two" and the ÷4 is there to represent the "divided by 4"

Hope it helps, and tyvm <3

Doss [256]3 years ago
3 0

Answer:

\displaystyle \frac{2(3y - 10)}{4}

Step-by-step explanation:

10 less than 3 times y.

The variable y is multiplied by 3, 10 is subtracted from 3 × y.

The result 3y - 10 is then multiplied by 2.

2(3y - 10) is then divided by 4.

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This diagram is a straightedge and compass construction. A is the center of one circle, and B
Serhud [2]

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

<u>Since the distance AB is the radius of both circles:</u>

  • AB = AC = BC = BD = AD = r

<u>So the answer choices:</u>

a. AC = BC

  • Correct, both equal to r

b. AC = BD

  • Correct, both equal to r

C. CD = AB

  • Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to  r√3/2, so CD = AB√3

d. ABCD is a square

  • Incorrect. ACBD is rhombus

e. ABD is an equilateral triangle

  • Correct, all three sides are equal to r

f. CD = AB + AB

  • Incorrect as CD = AB√3

3 0
3 years ago
Walter's savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly?
rodikova [14]
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years

A = P (1 + r/n)^nt

A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited

A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99

$349.99 - 273 = $76.99

The compounded interest amounts to $76.99
6 0
3 years ago
Please help! Need answer ASAP!
Umnica [9.8K]

Answer:

Step-by-step explanation:

A) identical triangles PSR and PSQ

B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR.  so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees.  the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar

C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4  then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula

c²=a²+b²

c²=4²+4²=16+16=32

c=√32=√16*2=4√2

4 0
3 years ago
A school choir needs to make t-shirts for its 75 members. A printing company charges $2 per shirt, plus a $50 fee for each color
svlad2 [7]

Let's begin by listing out the given information:

total number of members = 75

printing charge = $2 per shirt

colour print for each shirt = $50 fee for each color to be printed on the shirts

Let the number of t-shirts be represented as n

Let the number of colors on the shirts be represented as x

Let the total cost of the order be represented as C

Every member must have a t-shirt means

total number of members * printing charge + (colour print for each shirt * number of colors on the shirts) = total cost of the order

75 * 2 + 50 * x = C

150 + 50x = C

C = 50x + 150

The number of colors on the shirts (x) can vary change; if the number of colors used increases, the cost of the order increases & if the number decreases, the cost of the order decreases

The printing company charges is fixed as every member is to get a shirt

6 0
1 year ago
A fountain holds 12,500 gallons of water. Joe wants to find how many liters that is. Which proportion could he use to solve for
DedPeter [7]

Answer:

The proportion <u>1 L : 0.26 gal = x L : 12500 gal</u>.

Step-by-step explanation:

Given:

A fountain holds 12,500 gallons of water.

1 L = 0.26 gal

Now, to get the proportion to solve for the number of litres.

1\ L : 0.26\ gal = x\ L:12500\ gal

\frac{1\ L}{0.26\ gal} =\frac{x\ L}{12500\ gal}

<em>On solving :</em>

x=12500(\frac{1}{0.26})\ L

Therefore, the proportion <u>1 L : 0.26 gal = x L : 12500 gal</u>.

4 0
3 years ago
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