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3 years ago

Mariana writes the equation below to represent a problem. Which problem could the

Mathematics

1 answer:

Nataly_w [17]3 years ago

6 0

Answer:

Mariana uses 6 boxes of fertilizer each box weighs 15 ounces How much fertilizer does she use in all

Step-by-step explanation:

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Which is the approximate solution for the system of equations 3x+4y=2 and 4x+y=-4

harina [27]

$3x+4y=2\qquad\text{subtract 3x from both sides}\\\\4y=-3x+2\qquad\text{divide both sides by 4}\\\\y=-\dfrac{3}{4}x+\dfrac{2}{4}\to y=-\dfrac{3}{4}x+\dfrac{1}{2}\\\\for\ x=0\to y=-\dfrac{3}{4}(0)+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\to\left(0,\ \dfrac{1}{2}\right)\\\\for\ x=2\to y=-\dfrac{3}{4}(2)+\dfrac{1}{2}=-\dfrac{3}{2}+\dfrac{1}{2}=-\dfrac{2}{2}=-1\to(2,\ -1)\\--------------------------------\\$

$4x+y=-4\qquad\text{subtract 4x from both sides}\\\\y=-4x-4\\\\for\ x=0\to y=-4(0)-4=0-4=-4\to(0,\ -4)\\\\for\ x=-1\to y=-4(-1)-4=4-4=0\to(-1,\ 0)\\\\Answer:\ \boxed{A.\ (-1.4,\ 1.5)}$

6 0

3 years ago

Read 2 more answers

Question 2

Anni [7]

Answer:

$M = (9,3)$

Step-by-step explanation:

Given

$(x_1,y_1) = (4,8)$

$(x_2,y_2) = (14,-2)$

Required

Find the midpoint (M)

The midpoint is calculated as follows:

$M = (\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2))$

Substitute values for x's and y's

$M = (\frac{1}{2}(4+14),\frac{1}{2}(8-2))$

$M = (\frac{1}{2}(18),\frac{1}{2}(6))$

$M = (\frac{1}{2}*18,\frac{1}{2}*6)$

$M = (9,3)$

<em>Hence, the midpoint is (9,3)</em>

6 0

3 years ago

Which postulate proves that the triangles below are similar?

zaharov [31]

Answer:

Option (4)

Step-by-step explanation:

From the picture attached,

Side lengths of the triangles have been given in the picture attached.

If these triangles are similar, their corresponding sides will be proportional.

By this property of similarity,

$\frac{19.5}{5}= \frac{20}{8}$

3.9 = 2.5

Which is not true.

Therefore, these triangles are not similar.

Option (4) will be the answer.

6 0

3 years ago

X - 7 > -9 show your work

hodyreva [135]

x-7> -9

x> -2 (add seven to nine)

5 0

3 years ago

find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next

zalisa [80]

Answer:

The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways

Step-by-step explanation:

We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.

There are 9 letters in the word WONDERFUL

There is a condition that letter R is always next to E.

So, We have two letters fixed WONDFUL (ER)

We will apply Permutations to find ways of arrangements.

The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways

The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways

The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways

So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways

8 0

3 years ago