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dezoksy [38]
3 years ago
7

Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on sel

ling them for $19. How many hats will Ruth have to make to break even, and how much will sales and costs be at that point? ​
Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer: Ruth have to make 7 hats to break even.

Step-by-step explanation:

Break even point is a point where Cost = Revenue.

Let x be the number of hats sold.

Given: Cost of booth = $63

Each hat cost = $10

Selling price for each cost = $19

As per given,

Total cost = Cost of booth+ (Cost of each hat)(Number of hats)

= 63+10x

Total selling price = 19x

For break even,

63+10x=19x

9x=63

x=7

Hence, Ruth have to make 7 hats to break even.

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Someone help me with culinary math?
iragen [17]

Answer:

Step-by-step explanation:

sugar: half - 1/6 cup , double - 2/3 cup

mirin: half - 1/8 cup , double - 1/2 cup

shoyu: half - 6 Tbsp , double 1 1/2 cup

flour: half - 5/8 pound , double 2 1/2 pounds

chicken: half - 1 1/4 pounds , double: 5 pounds

6 0
3 years ago
Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at
kari74 [83]

Answer: 5 km walking and 30 km by bus

Step-by-step explanation:

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

walking - 5km/h                                         bus - 60km/h

distance walking - d₁                                 distance bus - d₂

time walking - t₁                                         time bus - t₂

d₁ + d₂ = 35

t₁ + t₂ = 1.5

v = d/t

vwalking = d₁/t₁

5 = d₁/t₁ ⇒ d₁ = 5t₁

vbus = d₂/t₂

60 = d₂/t₂ ⇒ d₂ = 60t₂

d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35

_________________________

5t₁ + 60t₂ = 35

t₁ + t₂ = 1.5  (*-5)

5t₁ + 60t₂ = 35

-5t₁ -5t₂ = -7.5   (+)

__________________________

55t₂ = 27.5

t₂ = 27.5/55 = 0.5 h

t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h

d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km

d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km

6 0
3 years ago
The expression 937(1+x) gives the markup price of a computer, where x is the percent of the markup written in decimal form. Whic
jarptica [38.1K]
The expression is 203.422+ X
6 0
3 years ago
T=2π√l/g. Make l subject of the formula​
Aliun [14]

Answer:

l = gt²/(2π)²

Step-by-step explanation:

if  T = 2π√l/g

squaring both sides

(T)² = (2π)² × (√l/g)²

T² =4π² × l/g

T² = 4π²l/g

using cross multiplication techniqes

gT² =  4π²l

divede both sides by " 4π²"

gT²/4π² =4π²l/4π²

gT²/4π² =l

l = gT²/(2π)²

that is the final answer.

4 0
3 years ago
Read 2 more answers
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the vo
blsea [12.9K]
The volume of a box with dimensions x by x by x is  x^{3}.

So if we are given the volume V of a cube-shaped box, the side length of thit is \sqrt[3]{V}.

So we calculate the cubic roots of the volumes we have, and we add their heights.

To calculate the cubic root of 729, we can factorize it, and group the perfect cubes together, as follows:

\frac{729}{3}= \frac{600}{3} + \frac{120}{3} + \frac{9}{3}=200+40+3=243

\frac{243}{3}= \frac{240}{3}+ \frac{3}{3}=80+1=81, which we recognize as 3^{4}

so 729=3*3* 3^{4}= 3^{6}= ( 3^{2} )^{3}= 9^{3}

similarly 1,331 can be found to be 11^{3}.

Thus we have 2 boxes with side length equal to 11 m and one with side length equal to 9 m.


Answer: h= 11+11+9 = 31 (meters)



7 0
3 years ago
Read 2 more answers
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