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3 years ago

HELP!!

Mathematics

1 answer:

Setler [38]3 years ago

4 0

23. If M' represents the complementary, then is the answer A.

24. The answer is C.

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Jessica is asked to write a quadratic equation to represent a function that goes through the point (8, –11) and has a vertex at

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Jessica solved for the correct value of a, but Sally's review was incorrect.

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IAnser this pleaseSnss

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Im pretty sure its x< 3

Step-by-step explanation:

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At a meeting attended by 23people, the females were 7 more than the males. How many males were there?

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Answer:

Step-by-step explanation:

x+x+7=23

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x=8

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3 years ago

Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long. She wants to leave a uniform strip of floor aroun

My name is Ann [436]

Answer:

18ft wide and 33 ft long

Step-by-step explanation:

We are told in the question that:

Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.

The Area of the carpeting she must have = 594 ft²

To solve for this, we have:

Length × Width = Area of a rectangle

594ft² = Length × Width

594ft² = (20 - x) (35 - x)

594 = 700 - 20x - 35x + x²

594 = 700 - 55x + x²

Collect like terms

x² - 55x + 700 - 594

x² - 55x + 106

We factorise

x² - 2x - 53x + 106

(x² - 2x) -(53x + 106)

x(x - 2) -53(x - 2)

(x - 2)(x - 53)

x - 2 = 0, x = 2

x - 53 = 0, x = 53

We choose the least value for x

Hence, x = 2

Length = 20 - 2 = 18ft

Width = 35 - 2 = 33ft

The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long

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3 years ago

One of Maria and Josie’s early tasks is printing and laminating signs to hang at local businesses around town. Working alone, Ma

Anna71 [15]

Answer:

Maria and Josie working together can complete the work in= 1 hour and 20 minutes

Step-by-step explanation:

Given:

Time taken by Maria to print and laminate signs = 4 hours

Time taken by Josie to print and laminate signs = 2 hours

Solution:

Rate of work done by Maria = $\frac{1}{4}$ per hour

Rate of work done by Josie = $\frac{1}{2}$ per hour

Let them work for $x$ hours together.

In $x$ hours work done by Maria = $\frac{x}{4}$

In $x$ hours work done by Josie = $\frac{x}{2}$

Total work done by both = $\frac{x}{4}+\frac{x}{2}=\frac{3x}{4}$

If they complete the work in $x$ hours, then we can write as:

$\frac{3x}{4}=1$

Solving for $x$

Multiplying both sides by $\frac{4}{3}$

$\frac{4}{3}\times\frac{3x}{4}=1\times \frac{4}{3}$

∴ $x=\frac{4}{3}=1\frac{1}{3}$ hours = 1 hour and 20 minutes [As $\frac{1}{3}$ of an hour =20 minutes.

So, Maria and Josie working together can complete the work in= 1 hour and 20 minutes

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