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3 years ago

the sum of two numbers is 61. five times the smaller number is 23 more than the larger. find the numbers

Mathematics

1 answer:

Stella [2.4K]3 years ago

6 0

Smaller Number = X
5x - 23 = Larger Number

X + (5x - 23) = 61
6x - 23 = 61
6x = 84
X = 14

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Every 100 tons of the earth's crust contain about 28 tons of silicon. What is the ratio of the weight of silicon to the weight o

d1i1m1o1n [39]

<h3>Answer:</h3>

28/100 = 7/25
100/28 = 25/7

<h3>Explanation:</h3>

The wording "the ratio of A to B" means A/B.

Here, "the ratio of the weight of silicon to the weight of crust" means ...

... (28 tons)/(100 tons)

Canceling common factors (and common units), this is ...

... 28/100 = 7/25

___

Then "the ratio of the weight of crust to the weight of silicon" means ...

... (100 tons)/(28 tons) = 100/28 = 25/7

4 0

3 years ago

PLEASE HELP ME I AM FAILING. I WILL GIVE BRAINLIEST

den301095 [7]

Answer:

equation = $\sqrt{7^2 + 12^2 } = c$

Using:

$\sqrt{a^2 + b^2 } = c$ or $a^2 + b^2 = c^2$ or

7^2 + 12^2 = c^2

49 + 144 = c^2

c^2 = 193

missing length = 13.9 inches

4. equation = $\sqrt{24^2 + 32^2} = c$

Using:

$\sqrt{a^2 + b^2 } = c$ or $a^2 + b^2 = c^2$

24^2 + 32^2 = c^2

reduce to:

8 multiplied by everything:

3^2 + 4^2 = c^2

Since we know 3,4,5 is a Pythagorean triple, we can use this to find c.

Since c must be 5, we multiply by 8 since we divided by 8 earlier to get the 3,4,5 and get 40.

missing length = 40 inches

3 0

3 years ago

3 over 4 - 3 over 8 equals

andrew11 [14]

It equals 3/8. this is because 3/4 = 6/8. 6/8 -3/8 = 3/8

6 0

4 years ago

Read 2 more answers

Find each product or quotient.

solniwko [45]

-38(-3) = 114

-72/(-12) = 6

-9 x 23 = -207

-150/5 = -30

564 / -4 = -141

<h3><u>Solution:</u></h3>

Given that, we have to find each product or quotient

It is a product, so we have to find product value

$-38(-3)=38 \times 3=114$

It is division, so we have to find the quotient

$\frac{-72}{-12}=\frac{72}{12}=6$

It is a product, so we have to find product value

$-9 \times 23=-207$

It is division, so we have to find quotient

$\frac{-150}{5}=-30$

It is division, so we have to find the quotient

$\frac{564}{-4}=-141$

3 0

4 years ago

△STU is an equalateral triangle, if ST is one less than twice x, SU Is 37 less than 5 times x, and TU is 11 more than x, find x

miskamm [114]

Answer:

x = 12, sides = 23

Step-by-step explanation:

$\overline{ST}=2x-1\\\overline{SU}=5x-37\\\overline{TU}=x+11$

Since $\triangle{STU}$ is equilateral, all three sides are equal. Therefore:

$\left[\begin{array}{l}y=2x-1\\y=5x-37\\y=x+11\end{array}\right]$

Substituting y = x + 11:

$\left[\begin{array}{l}x+11=2x-1\\x+11=5x-37\end{array}\right]$

Solving for x:

$x+11=2x-1\\11=x-1\\12=x$

Substituting x = 12:

$y=x+11\\y=12+11\\y=23$

Thus, <em>x</em> = 12 and the length of each side is 23.

4 0

4 years ago