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1 year ago

Help me please I don’t know how to do it

Mathematics

1 answer:

Rasek [7]1 year ago

4 0

Answer:

ask your teacher for help.

Step-by-step explanation:

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Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

vesna_86 [32]

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

2). There are 33 dimes and 57 quarters in the bank.

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

D + 2.5Q = 175.50 ------------(2)

Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = $\frac{85.5}{1.5}$

= 57

By putting Q = 57 in the equation (1)

D + 57 = 90

D = 90 - 57 = 33

Therefore, there are 33 dimes and 57 quarters in the bank.

4 0

3 years ago

LT1 10th grade level

Anton [14]

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = $\overline{EF}$ / $\overline{BC}$

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides $\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

$\overline{AE}$ / $\overline{AB}$ = $\overline{FA}$ / $\overline{AC}$ = 50 ft. /(100 ft.) = $\overline{EF}$ / $\overline{BC}$ = $\overline{EF}$ /120 ft.

$\overline{EF}$ = 120 ft. × 50 ft./(100 ft.) = 60 ft.

$\overline{EF}$ = 60 ft.

The distance between the pirate and the treasure, $\overline{EF}$ = 60 ft.

4 0

3 years ago

If there are 21 values in a data set in order from smallest to largest, what is the third quartile of the data set?

WARRIOR [948]

Answer:

Step-by-step explanation:

3 0

3 years ago

Arrange the polynomial so that the powers of x are in descending order.

Aleonysh [2.5K]

8x - 9x²y + 7y² - 2x⁴
-2x⁴ - 9x²y + 8x + 7y²

3 0

3 years ago

For Problems 11-12, expand the expressions using the Distributive Property. Then simplify the expressions. 12. 9(3y-5)

Aleonysh [2.5K]

Answer:

27y-45

Step-by-step explanation:

9(3y-5)=27y-45

6 0

2 years ago