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Gwar [14]
3 years ago
10

Which equation shows the correct grouping symbols? A. (5 + 70) ÷ 5 × 2 = 30 B. 5 + 70 ÷ 5 × 2 = 30 C. 5 + (70 ÷ 5) × 2 = 30 D. 5

+ 70 ÷ (5 × 2) = 30 A. B. C. D.
Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0

Answer:

equation A

Step-by-step explanation:

To know what equation is correct, we can calculate the left part of each one, and checking if the value matches the right part (which is always 30)

(Remember: to calculate equations, we first solve operations inside parenthesis, then divisions and multiplications, and for last sums and subtractions)

So, in option A, we have in the left part:

(5 + 70) ÷ 5 × 2 -> 75 ÷ 5 × 2 -> 15 × 2 -> 30

This option is correct, as the left part matches the right part.

Checking the other options, we have for option B:

5 + 70 ÷ 5 × 2 -> 5 + 14 × 2 -> 5 + 28 -> 33

It does not match the left part. For option C:

5 + (70 ÷ 5) × 2 -> 5 + 14 × 2 -> 5 + 28 -> 33

It does not match the left part. For option D:

5 + 70 ÷ (5 × 2) -> 5 + 70 ÷ 10 -> 5 + 7 -> 12

It does not match the left part. So, the correct answer is equation A

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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. Sh
galina1969 [7]

We use the attached graph

a. The maximum profit is the y value that is the value of P(x) that reaches maximum. From the graph the maximum value of P(x) is 675

So the maximum profit the florist will earn from selling bouquets = $675

b. Break even is the point where the profit p(x) becomes 0

From the graph we can see that P(x) =0 at x= -10 and x=20

x=-10 is invalid

So, break even after 20 one- dollar decreases

c. The interval of number of one dollar decreases is where the profit P(x) is greater than 0.

From the graph its very clear that the profit P(x) is greater than 0 in the interval 0 to 20.

So, The interval of number of one dollar decreases for which the florist makes a profit from celebration bouquet is (0, 20)

8 0
3 years ago
Read 2 more answers
Find the area and perimeter of the triangle in the picture. (the missing unit is 8.5 if you need that to solve)
ratelena [41]
The perimeter is 44.5
The area is 72.25
6 0
3 years ago
Find the first 5 terms of the sequence <br> A(n)=n+A(n-1) a1 = 3
faust18 [17]

Answer:

A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17

Step-by-step explanation:

Given A(n) = n + A(n–1) a1 = 3.

A(1) = 3.

A(2) = (2) + A(2–1)

= (2) + A(1)

= (2) + (3) = <u>5</u>

A(3) = (3) + A(3-1)

= (3) + A(2)

= (3) + (5) = <u>8</u>

A(4) = (4) + A(4–1)

= (4) + A(3)

= (4) + (8) = <u>12</u>

A(5) = (5) + A(5–1)

= (5) + A(4)

= (5) + (12) = <u>17</u>

8 0
3 years ago
3x<img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20%2B8x-10" id="TexFormula1" title="3x^{2} +8x-10" alt="3x^{2} +8x-10" align="a
Licemer1 [7]

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

<h3>Solving quadratic equations.</h3>

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

  • 3x² + 8x - 10

Using the quadratic formula:

\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}

where:

  • a = 3
  • b = + 8
  • c = - 10

\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}

x = 0.927 or -3.594

Learn more about solving quadratic equations here:

brainly.com/question/8649555

#SPJ1

3 0
2 years ago
What property is this? If -5 - 1= -11 then -5 = 10
Mademuasel [1]

Answer:

The answer is addition property

Step-by-step explanation:

5 0
3 years ago
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