All categories

3 years ago

2. Eleanor Raymond works full time while her husband, Peter, attends college and works part

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

Answer:

Eleanor and Peter's total income

= $597.63

Step-by-step explanation:

Eleanor's Income:

Paycheck = $380.48

Eleanor's Expenses:

Birthday gift= $16.50

Peter's income

Paycheck = $120

Sales of his college textbook = $13.65

Check from Peter's father= $100

Peter's total income =Paycheck + Sales of his college textbook + Check from Peter's father

= $120 + $13.65 + $100

= $233.65

Eleanor and Peter's total income

= Eleanor's Income + Peter's total income - Eleanor's Expenses

= $233.65 + $380.48 - $16.50

= $597.63

Eleanor and Peter's total income

= $597.63

You might be interested in

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 7% is applied to the room rate, and an a

Serjik [45]

Answer: $543.7325

Step-by-step explanation:

room rate = $99.95 / night

Tax fee = 7% of room rate

Therefore, tax fee = 7% of $99.95

Tax fee = 0.07 × $99.95

Room charge =[$99.95 + 0.07($99.95)]

Room charge = 1.07($99.95) per night

Additional onetime untaxed fee = $9

Therefore for 5 nights :

Room charge = 5×[1.07($99.95)] +

Total room charge = 5×[1.07($99.95)] + one time untaxed fee

Total room charge = 5×[1.07($99.95)] + $9

= $543.7325

7 0

3 years ago

For each equation, determine whether it has no solutions, exactly one solution, or is true for all values of x (and has infinite

nignag [31]

Answer:

Equation 1 has exactly one solution.
Equation 2 has infinitely many solutions.
Equation 3 has no solution.

Step-by-step explanation:

We are given three equations to solve. First, let's solve the equations for x.

Equation 1

$\displaystyle{6x+8=7x+13}\\\\7x + 13 = 6x + 8\\\\x + 13 = 8\\\\\bold{x = -5}$

Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

$\displaystyle{6(-5)+8=7(-5)+13}\\\\-30 + 8 = -35 + 13\\\\-22 = -22 \ \checkmark$

Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.

$6(5)+8=7(5)+13\\\\30 + 8 = 35 + 13\\\\38 = 48 \ \text{X}$

Therefore, for Equation 1, there is exactly one solution.

Equation 2

$6 x + 8 = 2 ( 3 x + 4 )\\\\6x + 8 = 6x + 8\\\\0 + 8 = 8\\\\8 = 8 \ \checkmark$

We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check any value in place of x to see if we get a true statement. For this instance, I will use -3.

$6(-3) + 8 = 2 ( 3(-3) + 4 )\\\\-18 + 8 = 2(-9+4)\\\\-18 + 8 = 2(-5)\\\\-18 + 8 = -10\\\\-18 = -18 \ \checkmark$

We still get a true statement, so Equation 2 has infinitely many solutions.

Equation 3

$6 x + 8 = 6 x + 13\\\\0 + 8 = 13\\\\8 \neq 13$

We get a false statement. Therefore, Equation 3 has no solution.

3 0

3 years ago

Read 2 more answers

Write the sentence as an equation. 220 equals a minus 323

noname [10]

Answer:

220= -323

Step-by-step explanation:

3 0

3 years ago

Help please!!!! ;-; staph scrolling

sertanlavr [38]

$y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5$

$y=4^x$

OK, we'll go in steps. First a reflection through the x axis, which negates y.

$y = -4^x$

Now a vertical scaling of 2/3

$y = -\frac 2 3 \cdot 4^x$

Now we shift seven units to the right,

$y = -\frac 2 3 \cdot 4^{x+7}$

Now down five,

$y = -\frac 2 3 \cdot 4^{x+7} - 5$

There it is.

Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice

8 0

4 years ago

An animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Anna noticed that the shelt

Mama L [17]

Answer:

Step-by-step explanation:

We can solve this problem using a system of equation in two unknowns.

Let b = number of birds.

Let c = number of cats.

The care of a bird costs $5.50, so for b number of birds, the cost of care is 5.5b.

The care of a cat costs $8.50, so for c number of cats, the cost of care is 8.5c.

The total cost of care for the birds and cats is 5.5b + 8.5c.

The total cost of care is $291.50. This must equal the expression we have above, so we get our first equation.

5.5b + 8.5c = 291.5

The total number of birds and cats is b + c, but we are told it is 41, so our second equation is:

b + c = 41

We now have the following system of two equations in two unknowns.

5.5b + 8.5c = 291.5

b + c = 41

Rewrite the first equation.

Multiply both sides of the second equation by -8.5, and write it under the first equation. Then add the equations.

5.5b + 8.5c = 291.5

+ -8.5b - 8.5c = -348.50

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

-3b = -57

Divide both sides of the equation by -3.

b = 19

Answer: there were 19 birds

4 0

4 years ago