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aleksandr82 [10.1K]
2 years ago
13

Penny charges $5 per hour for babysitting, plus a flat fee of $12 for her travel expenses. Charlene charges $3 per hour for baby

sitting, plus a flat fee of $18 for her travel expenses.
Write an equation that could be used to determine the number of hours each babysitter must work to earn the same amount *
Mathematics
1 answer:
sweet [91]2 years ago
7 0

Answer: 5x+12=3x+18

Step-by-step explanation: let x = hours worked

Penny earns $5/hour + $12 fee so 5x+12

Charlene earns $3/hour + $18 fee so 3x+18

They are going to earn the same thing so 5x+12=3x+18

You might be interested in
Find the range of y=3/2cos4x-1
MrRissso [65]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

5 0
2 years ago
Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative
Rzqust [24]

Answer:

Fernando incorrectly found the product of –2 and –5.

Step-by-step explanation:

Fernando evaluated the numerator of the fraction incorrectly.

Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.

Fernando incorrectly found the product of –2 and –5.

Fernando evaluated (negative 3) squared incorrectly.

Fernando's calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 - 10 + 9

= 20/2 - 10 + 9

= 10 - 10 + 9

= 9

Correct calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 + (10) + 9

= 20/2 + 10 + 9

= 10 + 10 + 9

= 29

Therefore,

Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10

Fernando incorrectly found the product of –2 and –5.

5 0
2 years ago
Read 2 more answers
The gold bar has a trapezium cross-sectional area. Gold has a density of 19.3 grams per cm3. Work out the mass of the gold bar.
Varvara68 [4.7K]

Answer:

Mass of gold bar = 13.896 kg

Step-by-step explanation:

Volume of gold bar = Area of  trapezium x Length of bar

Length of bar = 16 cm

Area of  trapezium = 2 x Area of triangle + Area of rectangle

Area of triangle = 0.5 x 5 x 3 = 7.5 cm²

2 x Area of triangle = 2 x 7.5 = 15 cm²

Area of rectangle = 6 x 5 = 30 cm²

Area of  trapezium = 15 + 30 = 45 cm²

Volume of gold bar = 45 x 16 = 720 cm³

Density of gold = 19.3 g/cm³

Mass of gold bar = 720 x 19.3 = 13896 g = 13.896 kg

Mass of gold bar = 13.896 kg

6 0
2 years ago
Read 2 more answers
Arrange the summation expressions in increasing order of their values.
dolphi86 [110]
∑ 4 * 5^(i-1) = 4 + 20 + 100 + 500 = 624
∑ 3 * 4^(i-1) = 3 + 12 + 48 + 192 + 768 = 1,023
∑ 5*  6^(i-1) = 5 + 30 = 35
∑ 5^(i-1) = 1 + 5 + 25 + 125 = 156
Answer:
∑ (i=1, 2) 5 * 6^(i-1) < ∑ (i=1, 4) 5^(i-1) < ∑ (i=1, 4) 4 * 5^(i-1) <
< ∑ (i=1, 5) 3 * 4^(i-1)

5 0
2 years ago
Read 2 more answers
There are 450 seats in the lower level of a concert hall with b balcony seats in the upper level. So far, 170 tickets have been
slamgirl [31]

There are 400 balcony seats in the concert hall.

<u>Step-by-step explanation</u>:

Step 1 :

  • The number of lower seats = 450 seats

Total seats = Lower seats + balcony seats

Step 2 :

  • Tickets sold = 170 tickets
  • Total tickets = x

Tickets sold = 1/5 of total tickets.

⇒ 170 = (1/5)x

⇒ x = 5\times170

⇒ x = 850 tickets

∴ Total seats in the concert hall is 850.

Step 3 :

Total seats = 450 + balcony seats

850 - 450 = balcony seats

∴ balcony seats = 400

7 0
2 years ago
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