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3 years ago

Use the situation below to answer

Mathematics

1 answer:

Kisachek [45]3 years ago

3 0

Answer:

$644

Step-by-step explanation:

Let X (40hrs)be the number of hours Avery works per week, and i (15%)be the raise and that her wage rate is $14/hr:

Total earnings per week is therefore:

$Earnings=14X(1+i)$

Avery's earning per week is calculated as:

$Earnings=14X(1+i)\\\\=14\times 40(1+0.15)\\\\=644$

Hence, Avery's weekly earning is $644

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12. Consider the general rational equation a/b=c/d

velikii [3]

Part (a)

Answer: ad = bc

-------------------------

Explanation:

In the equation a/b = c/d, we have b and d in the denominator.

If we multiply both sides by bd, then the denominators will cancel. The expression bd is the same as bd/1.

As a similar example, consider the equation

a/b = 12

if we multiply both sides by b, then we clear out the denominator to end up with a = 12b

As another example, let's consider

a/b = c

Multiplying both sides by b leads to

a = bc

The same idea applies with the denominator d as well.

When going from a/b = c/d to ad = bc, your textbook may refer to this process as "cross multiplication".

=================================================

Part (b)

Answer: bd is the product of the denominators

-------------------------

Explanation:

Often in math, writing two variables next to each other represents multiplication.

bd is the same as b*d which means "b times d". The term "product" is the result of multiplying two or more values.

b and d are both in the denominator of each fraction, so bd represents the product of the denominators.

8 0

2 years ago

A zookeeper predicted the weight of a new baby elephant to be 261 pounds when it was born. The elephant actually weighed 293 pou

Papessa [141]

Percent error=| $\frac{predicted value-actual value}{predicted value}$ | times 100
(note the || is absolute value, means that whatever the result is inside, it is made positive)

predicted value=261
actual value=293
subsitute
percent error=| $\frac{261-293}{261}$ | times 100
so using pemdas
do parenthasees first
| $\frac{-32}{261}$ |
|-0.12|
absolute value
0.1226

time 100
0.1226 times 100=12.26
answer is 12.26%
answer is B

8 0

3 years ago

A person leaves work and travels west for 15 miles. They then turn left and travel south for 10 miles, to their home. If a bird

Ahat [919]

Given:

A person leaves work and travels west for 15 miles.

They then turn left and travel south for 10 miles, to their home.

To find:

Distance between work place and home.

Solution:

The person travels west for 15 miles, then travel south for 10 miles.

It means, it forms a right angle triangle with legs 15 and 10.

To find the distance between work place and home we need to find the hypotenuse of the triangle.

Pythagoras theorem:

$Hypotenuse^2=Base^2+Perpendicualr^2$

$(OB)^2=(15)^2+(10)^2$

$(OB)^2=225+100$

$(OB)^2=325$

Taking square root on both sides.

$OB=\sqrt{325}$

$OB=\approx 18.03$

Therefore, the bird would fly 18.03 miles.

3 0

2 years ago

Albert bought 9 pounds of fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $

zalisa [80]

Answer:

5 pounds

Step-by-step explanation:

To find that we simply solve the system of equations
So make c the subject of the formula of equation 2
$s+c=9\\c=9-s$
Substitute in equation 1
$5s+3c=37\\5s+3(9-s)=37\\5s+27-3s=37\\5s-3s+27-(27)=37-(27)\\2s=10\\s=5$ so that's 5 pounds of salmon

7 0

2 years ago

Identify the values of a, b, and c in the functions.

butalik [34]

Answer:hhhhhhhhhhhhhhhhhhhhhhh

dav d= 3

Step-by-step explanation:

3 0

3 years ago