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4 years ago

A collection of dimes and quarters is worth $6.50. There are 35 coins in all. How many dimes are there?

1 answer:

8 0

Lets do this like this:
X = number of quarters and y=number of dimes.
Now, we know that the total number is 35 and that the change adds up to 6.50.
One equation we can form is x+y=35Remember the total number of coins is 35.
The other equation is 25x+.1y=6.5Because the number of dimes times their value plus the number of quarters times their value gives us a total of 6.5. Now we can solve for x or y easily in the first equation.
Solving for y like this:y=35−xWe can substitute this into the other equation to obtain.25x+.1(35−x)=6.5This simplifies to.15x+3.5=6.5.15x=3x=20
I hope this can help you indeed

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A beaded necklace is 2.5 feet long. Each bead is .25 inches wide & each pair of beads is separated by 1.25 inches of chain.

adelina 88 [10]

Answer:

There are 20 beads on the necklace.

Step-by-step explanation:

Given:

A beaded necklace is 2.5 feet long. Each bead is .25 inches wide & each pair of beads is separated by 1.25 inches of chain.

Now, to find the number of beads on the necklace.

The length of necklace = 2.5 feet.

So, we convert feet into inches by using conversion factor:

1 foot = 12 inches.

2.5 feet = 12 × 2.5 inches.

2.5 feet = 30 inches.

Thus, the length of necklace is 30 inches.

Let the number of beads be $x.$

The width of each bead = 0.25 inches.

The each pair of beads is separated by 1.25 inches.

Now, we put an equation to get the number of beads:

$(0.25+1.25)x=30$

$0.25x+1.25x=30$

$1.50x=30$

Dividing both sides by 1.50 we get:

$x=20.$

The number of beads = 20.

Therefore, there are 20 beads on the necklace.

6 0

3 years ago

Looking for answer for this answer

astra-53 [7]

The answer is the last one!!

5 0

2 years ago

Read 2 more answers

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

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3 years ago

Choose one of the factors of x^3 + 343.

Debora [2.8K]

First, note that $343=7^3.$ Then use the formula for the sum of perfect cubes:

$a^3+b^3=(a+b)(a^2-ab+b^2).$

Therefore,

$x^3 + 343=x^3+7^3=(x+7)(x^2-7x+49).$

The quadratic trinomial $x^2-7x+49$ couldn't be factored anymore, so the expression $x^3 + 343$ has two factors $x+7$ and $x^2-7x+49.$

Answer: correct choice is A.

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3 years ago

In a bag of candy, there are 36 red candies and 27 green candies. What is the ratio of the number of green candies to the number

Vilka [71]

27 and 36 have a Greatest Common Factor of 9 so...
27/36 = 3/4

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3 years ago