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7 days ago

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

tement comparing the two swimmers is accurate?
1 mile 1,609 meters

Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina.

Mathematics

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A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a

PIT_PIT [12445]

$38.00 imes 0.25 = $9.50
$38.00 - $9.50 = $28.75
$28.75 imes 0.06 = $1.725
$28.75 + $1.73 = $30.48

5 0

2 months ago

Read 2 more answers

leons older brother is 4and 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is leon

zzz [12365]

Answer: $4\frac{5}{12}\ feet$

Step-by-step solution:

Leon’s older brother’s height is $4\frac{3}{4}$ feet

$=\frac{16+3}{4}=\frac{19}{4}$ feet

Because Leon is 1/3 foot shorter than his brother,

Leon’s height = $\frac{19}{4}-\frac{1}{3}$

Convert to like fractions by multiplying numerator and denominator: multiply 3 for the first fraction and 4 for the second.

So, Leon’s height = $\frac{57}{12}-\frac{4}{12}$

$=\frac{57-4}{12}\\=\frac{53}{12}=4\frac{5}{12}$ feet

Therefore, Leon’s height is $4\frac{5}{12}\ feet$ feet.

8 0

3 months ago

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b

PIT_PIT [12445]

Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

$P=\frac{1}{10}x(300-x)$

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

$1610=\frac{1}{10}x(300-x)$

Multiply both sides by 10:

$1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10$

$16100=x\left(300-x\right)$

$16100=300x-x^2$

$-x^2+300x-16100=0$

Next, factor the quadratic:

$(x-70)(x-230)=0$

Solving for x gives:

$x=70,x=230$

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.

7 0

3 months ago

a jewelry is designing a crown. the crown must have at least 45 gems using only emeralds, rubies, and diamonds. the number of ru

Inessa [12570]

I'm quite terrible at this aspect, so I'm merely making a guess.
X serves as the variable while x denotes the multiplication symbol.
X + (X x 3 - 1) + (X x 3 - 1) - 4) <span>≥ 45 is the outcome I arrived at.
The solution to that inequality is
X </span><span>≥ 7, I suppose.</span>

5 0

1 month ago