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3 years ago

100 POINTS IF U GET THIS RIGHT!

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

5/6 km²

Step-by-step explanation:

Use the area equation:

A = 1/2bh

Substitute values:

A = 1/2* 1 2/3 * 1 = 1/2*5/3 = 5/6 km²

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4. Diego is thinking of two positive numbers. He says, "If we triple the first number and

aleksandr82 [10.1K]

Answer:

3x + 2y = 34. and two possible pairs of positive numbers are (x, y) = (10, 2) and (x, y) = (4, 11).

Step-by-step explanation:

Let the First positive number be x and second positive number be y.

Triple of first number = 3x

double of second number = 2y

According to question,

3x + 2y = 34

Therefore, the equation is 3x + 2y = 34

So the two possible pair of numbers Diego would be thinking of must satisfy the equation 3x + 2y = 34

Now, 3x + 2y = 34

3x = 34 - 2y

Let x = 10 and by substituting its value in above expression,

$3 \times 10 = 34 - 2y$

$30 = 34 - 2y$

$2y = 34 - 30$

$2y = 4$

$y = 2$

Therefore first pair (x, y) = (10, 2)

In the same way put x = 4 then,

3x = 34 - 2y

$3 \times 4 = 34 - 2y$

$2y = 34 - 12$

$2y = 22$

$y = 11$

Therefore first pair (x, y) = (4, 11)

Therefore, (x, y) = (4, 11) and (x, y) = (10, 2) are the two possible pairs of numbers Diego could be thinking of as these both values satisfy the equation 3x + 2y = 34.

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3 years ago

Write the following in algebraic expression. u decreased 17

gregori [183]

Answer:

you divied 7 by 14 which is 2

Step-by-step explanation:

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2 years ago

Compare 5,000 and 500

tamaranim1 [39]

5,000 is 10 times greater than 500

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3 years ago

Sara needs 40 inches of yarn to glue onto each of 25 picture frames. She has a ball of yarn with a total of 950 inches. Which of

nataly862011 [7]

The correct answer is C

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3 years ago

Read 3 more answers

3. March deposited money into an account in which interest is compounded quarterly at a rate of 3.3%. How much did he deposit if

aksik [14]

Answer:

$4125.

Step-by-step explanation:

When solving for the principal we still need to use the formula $A = P(1+\dfrac{r}{n})^{nt}$ .

Let's take all the variables that we do have available and list them out.

A = $4369.20

r = 3.3% or 0.033

n = 4 (Quarterly)

t = 21 months or 1.75 years

Now we can substitute the values and solve for the principal.

$A=P(1+\dfrac{r}{n})^{nt}$

$4369.20=P(1+\dfrac{0.033}{4})^{4(1.75)}$

$4369.20=P(1+0.00825)^{7}$

$4369.20=P(1.00825)^{7}$

$4369.20=P(1.05919912849)$

Now we need to divide both sides with 1.05919912849 to get the principal.

$\dfrac{4369.20}{1.05919912849}=\dfrac{P(1.05919912849)}{1.05919912849}$

P = 4125.00339406 or $4125.

To check for our answer, we can simply substitute the values including the principal and excluding the total.

$A=P(1+\dfrac{r}{n})^{nt}$

$A=4125(1+\dfrac{0.033}{4})^{4(1.75)}$

$A=4125(1+0.00825)^{7}$

$A=4125(1.00825)^{7}$

$A=4125(1.05919912849)$

$A=4369.19640502$ or $4369.20$

5 0

3 years ago