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2 years ago

Plss help get brainiest if right!!

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

Answer:

18 quarters
7 dimes

Step-by-step explanation:

The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.

<h3>setup</h3>

Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...

d + q = 25

and their total value is ...

0.10d +0.25q = 5.20

<h3>solution</h3>

Using the first equation to write an expression for d, we can substitute that into the second equation.

d = 25 -q

0.10(25 -q) +0.25q = 5.20

0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50

q = 18 . . . . . . . . . . . divide by 0.15

d = 25 -q = 7

You have 18 quarters and 7 dimes.

_____

<em>Additional comment</em>

It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.

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A 30° 60° 90° triangle is shown below. Find the length of the side labeled y.

bulgar [2K]

Answer:

Part 1) $y=3\ units$

Part 2) The length of the hypotenuse is 6 units

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

$sin(60^o)=\frac{y}{2\sqrt{3}}$ ----> by SOH (opposite side divided by the hypotenuse)

solve for y

$y=sin(60^o)2\sqrt{3}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$y=(\frac{\sqrt{3}}{2})2\sqrt{3}$

$y=3\ units$

Part 2)

Let

h ----> the length of the hypotenuse

we know that

In the right triangle of the figure

$sin(45^o)=\frac{3\sqrt{2}}{h}$ ----> by SOH (opposite side divided by the hypotenuse)

$h=\frac{3\sqrt{2}}{sin(45^o)}$

Remember that

$sin(45^o)=\frac{\sqrt{2}}{2}$

substitute

$h=3\sqrt{2}:\frac{\sqrt{2}}{2}$

$h=6\ units$

7 0

3 years ago

Can someone explain how to solve this?

Advocard [28]

Answer:

here you go. hope this helps!

6 0

3 years ago

For which points in the same quadrant as(2,-10)could Tamara use a number line to find the distance?

VLD [36.1K]

ANSWER

(2,-2)

(10,-10)

(2,-9)

(7,-10)

EXPLANATION

The given point is (2,-10)

This point is in the fourth quadrant.

To be able to use the number line to find the distance between this point , (2,-10) and another point in the fourth quadrant, the second point must have the same x-coordinate with this point or the same y-coordinate with this point.

These points are:

(2,-2)

(10,-10)

(2,-9)

(7,-10)

4 0

4 years ago

A student's tuition was $2628. A loan was obtained for 5/4 of the tuition. How much was the loan? The student's loan was fo

prohojiy [21]

Answer:

The loan amount of the tuition fee is $3285

Step-by-step explanation:

Given as :

The student's tuition fee amount = $2628

The loan amount for the fee = $\dfrac{5}{4}$ of the tuition fee

Let The loan amount = $ A

So, According to question

The loan amount for the fee = $\dfrac{5}{4}$ × tuition fee amount

A = $\dfrac{5}{4}$ × $2628

or, A = $\frac{5\times 2628}{4}$

Or, A = 5 × 657

∴ A = $3285

So, The loan amount = A = $3285

Hence The loan amount of the tuition fee is $3285 Answer

4 0

3 years ago

A grocery store recently sold 12 cartons of yogurt, of which 2 were peach. If the store sells 18 cartons of yogurt tommorrow, pr

photoshop1234 [79]

Answer:

The answer is 3.

Step-by-step explanation:

I know this because when the sold 12 cartons, they sold 2 peach. The next day, they sold 18. If they sold 12 the first day and sold 2, we can say 18 - 12 and get 6. 6 is half of 12 or 1. 1 +2 =3.

Have a great day (:

I am sure you will get this right.

Can I have a thanks and brainliest?

Thanks.

8 0

4 years ago