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3 years ago

Select all the rates equivalent to the rate 3/4 cup per pound

Mathematics

1 answer:

Artemon [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.

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In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes

ANEK [815]

Answer:

Ahmed got 390 votes

Step-by-step explanation:

Here, we want to know the number of votes obtained by Ahmed

from the question, there were 900 registered voters

10% did not cast their votes

The number that didn’t cast their votes will be;

10% of 900

= 10/100 * 900 = 90

So the rest 90% casted and this value will be 900-90 = 810

810 people casted their votes

30 votes were spoilt;

The number of valid votes is thus;

810 - 30 = 780

Ahmed got a ratio of 3 in 3:2:1

The total value here is 3 + 2 + 1 = 6

So what Ahmed got will be;

3/6 * 780

= 780/2 = 390

3 0

3 years ago

A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the pr

Alexxandr [17]

Using the data, we can calculate the price per bottle for Brand A, which is:
24 / 2
= $12 per bottle

We also know that the slope of a line shows the rate of change, so the price per bottle for Brand B is $15.

The difference per bottle is 15 - 12 = Brand B is cost $3 more per bottle
The difference for 9 bottles will be: 9 * 3 = $27.

7 0

3 years ago

Use the work shown to find the solutions of the quadratic equation. x2 – x –3/4=0 x2 – x = 3/4

bija089 [108]

Answer:

x = - $\frac{1}{2}$ , x = $\frac{3}{2}$

Step-by-step explanation:

Given

x² - x - $\frac{3}{4}$ = 0

Multiply through by 4 to clear the fraction

4x² - 4x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 3 = - 12 and sum = - 4

The factors are + 2 and - 6

Use these factors to split the x- term

4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term

(2x + 1)(2x - 3) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - $\frac{1}{2}$

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = $\frac{3}{2}$

8 0

3 years ago

The table shows the heights y (in feet) of a baseball x seconds after it was hit. Predict the height after 5 seconds

Mandarinka [93]

Answer:

3 feet

Step-by-step explanation:

7 0

3 years ago

A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo

lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0

3 years ago