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erma4kov [3.2K]
2 years ago
7

An artist bought twine for a project, and she traveled by bus when shopping for the twine. The total cost of her project, $17.50

, included both the cost of the 5.8 yards of twine she bought and $3 in bus fares. Which of these shows the correct equation to determine the cost of the twine per yard along with the correct solution?
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
5 0

Answer:

5.8x + 3 = 17.50

Step-by-step explanation:

Let the price of the twin per yard is $ x,

So, the price of 5.8 yards of twin = number of yards × price for each yard

= 5.8x,

Bus fair = $ 3,

Thus, the total spending = 5.8x + 3,

According to the question,

Total spending = $ 17.50

⇒ 5.8x + 3 = 17.50

Which is the required equation.

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Chloe collected 4 times as many bags of cans as her friend. If her friend collected 1/6 of a bag, how much did Chloe collect?
dalvyx [7]
2/3 of a bag might be the anwser
5 0
2 years ago
The map below shows the location of 3 houses where you had to do lawn work today. Your truck gets 8 miles per gallon of gasoline
ryzh [129]

Answer:

4.18 dollars to drive 20 miles

Step-by-step explanation:

7 0
2 years ago
Credit card holders carry an average debt of $3,027 per month, with a standard deviation of $1,060. A credit card company is loo
Alex

Answer:

To be dropped, the client must have debts of $949.40 or lower.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 3027, \sigma = 1060

Bottom 2.5%

The 2.5th percentile and lower.

The 2.5th percentile is X when Z has a pvalue of 0.025. So X when Z = -1.96. Then

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 3027}{1060}

X - 3027 = -1.96*1060

X = 949.4

To be dropped, the client must have debts of $949.40 or lower.

7 0
2 years ago
Un barco que hace cruceros por el mar Caribe dispone de camarotes de una plaza y de dos plazas. Si en total hay 215 camarotes y
prisoha [69]

Answer:

- There are 71 one-quarter cabins and 144 two-seater cabins on the cruise ship.

- Hay 71 cabinas de un asiento y 144 cabinas de dos asientos en el crucero.

Step-by-step explanation:

English Translation

A ship that cruises in the Caribbean Sea has one and two-seater cabins. If there are 215 cabins and 359 seats in total, find out how many cabins there are of each type.

Let the number of one seater cabins be x

Let the number of two seater cabins be y

There are x seats on the one seater cabins and there are 2y seats in total for the two seater cabins

x + y = 215 (eqn 1)

x + 2y = 359 (eqn 2)

Subtract eqn 1 from eqn 2

y = 359 - 215 = 144

x + y = 215

x = 215 - y = 215 - 144 = 71

There are 71 one-quarter cabins and 144 two-seater cabins on the cruise ship.

In Spanish/En español

Deje que el número de cabinas de un asiento sea x

Deje que el número de cabinas de dos plazas sea y

Hay x asientos en las cabinas de un asiento y hay 2 asientos en total para las cabinas de dos asientos

x + y = 215 (ecuación 1)

x + 2y = 359 (ecuación 2)

Resta la ecuación 1 de la ecuación

2 y = 359 - 215 = 144

x + y = 215

x = 215 - y = 215 - 144 = 71

Hay 71 cabinas de un asiento y 144 cabinas de dos asientos en el crucero.

Hope this Helps!!!

4 0
2 years ago
On a coordinate plane, 2 trapezoids are shown. The first trapezoid has points A (negative 1, negative 2), B (1, negative 2), C (
Liula [17]

Answer:

The true statements are:

The rule for the translation can be written as T-3, 1(x, y). ⇒ 1st

The rule for the translation can be written as  (x, y) → (x - 3, y + 1) ⇒ 4th

Step-by-step explanation:

Let us revise the rule of the translation:

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

The vertices of trapezoid ABCD are:

A (-1 , -2) , B (1 , -2) , C (2 , -5) , D (-2 , -5)

The vertices Of trapezoid A'B'C'D' are:

A' (-4 , -1) , B' (-2 , -1) , C' (-1 , -4) , D' (-5 , -4)

Trapezoid ABCD is translated to form Trapezoid A'B'C'D'

By using the rules of translation above:

∵ A = (-1 , -2) and A' = (-4 , -1)

- The rule of translation is (x , y) → (x + h , y + k)

∵ x = -1 and x + h = -4

∴ -1 + h = -4

- Add 1 to both sides

∴ h = -3

∵ y = -2 and y + k = -1

∴ -2 + k = -1

- Add 2 to both sides

∴ k = 1

The rule of translation is (x , y) → (x - 3 , y + 1)

The trapezoid ABCD has been translated 3 units to the left and 1 unit  up

You can check your answer by doing the same steps with the other 3 vertices you will have the same values of h and k

The true statements are:

The rule for the translation can be written as T-3, 1(x, y).

The rule for the translation can be written as  (x, y) → (x - 3, y + 1)

9 0
2 years ago
Read 2 more answers
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