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Mice21 [21]
3 years ago
12

Mrs. Farley had 490 buttons. She sewed 7 buttons on a shirt. 8 completed shirts had to be sealed in a box. How many of the shirt

s sewn were not sealed in a box?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

6 of the shirts sewn were not sealed in a box

Step-by-step explanation:

Here, we want to know the number of shirts sewn that were not sealed in a box

Now, if 7 is to be sewn on a shirt, the number of shirts made from 490 buttons will be 490/7 = 70

70 shirts were made

In a box we had 8, so the number of 8’s in 70 will be 8 remainder 6

So what this mean is that 6 of the shirts were not sealed in a box

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{3x=7y=5<br> {5x-2y=-19
Anton [14]

Answer:

(-3, 2)

Step-by-step explanation:

{3x=7y=5

{5x-2y=-19

solve....

maybe it was  3x + 7y = 5

and  5x - 2y = -19

2*(3x + 7y = 5)

7*(5x - 2y = -19)

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

6x + 14y = 10

35x -14y = -133

41x = -123

x = -3

y = ...

5*(-3) - 2y = -19

-15 - 2y = -19

2y = 4

y = 2

(-3, 2)

7 0
3 years ago
The length of a shadow of a building is
timofeeve [1]
H^2=x^2+y^2

35^2=29^2+y^2

y^2=35^2-29^2

y^2=384

y=√384

y≈19.60 m  (to the nearest hundredth of a meter, or nearest centimeter)

6 0
3 years ago
Mrs. Simpson drove 105 miles in 2 1/2 hours. What was Mrs. Simpson's average speed in miles per hour?
harkovskaia [24]
105 m = 2.5 h
 
x miles = 1 hour

You cross multiply since it's a proportion:
2.5 * x
105 * 1

=

2.5x = 105

Then you divide everything by 2.5

The answer is 42




5 0
3 years ago
Read 2 more answers
Jeff has 4 red pens and 2 blue pens in his backpack. He also has 1 yellow highlighter and 4 green highlighters in his
Romashka-Z-Leto [24]

Answer:

\frac{1}{15}

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is  \frac{1}{15}

3 0
3 years ago
Read 2 more answers
Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.
podryga [215]

Answer:

  • 35%

Explanation:

<u>1. Cost of each liter of yellow paint:</u>

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

<u>2. Cost of each liter of blue paint:</u>

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

<u>3. Cost of each liter of green paint.</u>

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint:     3 liter × £4.8 / liter = £14.4

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

5 liters green paint:   5 liter                        £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

<u>4. Profit</u>

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 =  35.08% = 35%

4 0
3 years ago
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