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3 years ago

5

Callie has x yards of string. For an art project, she can cut an equal number of pieces of string in each piece is 11/12 foot lo

ng. Which expression shows the number of pieces she can cut?
A) X + 11/12
B) X (11/12)
C) X ÷ 11/12
D) X - 11/12

1 answer:

vagabundo [1.1K]3 years ago

6 0

Answer:

C) x ÷ 11/12

Step-by-step explanation:

If you divide the total length of string by the length of each piece, you get the number of strings.

total length of string: x

length of each piece: 11/2

We need to divide x by 11/12

Answer: C) x ÷ 11/12

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Factorising quadratics <br><br> All questions please to be completed. I’m stuck.

Alex777 [14]

Answer:

1. (x +1)(x - 1)

2. (x+5)(x-5)

3. (x+12)(x-12)

4. (x+14)(x-14)

5. (x+5)(x-7)

Step-by-step explanation:

The first 4 expressions can be factored with the difference of squares type of factoring.

For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are

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4 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

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3 years ago

Find the values of the variables

Nikolay [14]

Answer:

corresponding value of equal matrix is equal

a=10

b= -6

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Step-by-step explanation:

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3 years ago

Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the

tresset_1 [31]

Answer:

$S' = (-5,-5)$

$Q"=(-5,-5)$

Step-by-step explanation:

Given

$S = (5,-5)$

$Q= (5,5)$

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

$(x,y) \to (-x,y)$

So, we have:

$S(5,-5) \to S'(-5,-5)$

Hence:

$S' = (-5,-5)$

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

$(x,y) \to (x,-y)$

So:

$Q(5,5) \to Q'(5,-5)$

The rule to reflect across y-axis is:

$(x,y) \to (-x,y)$

So:

$Q'(5,-5) \to Q"(-5,-5)$

Hence:

$Q"=(-5,-5)$

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3 years ago

Masteriza [31]

Answer:

B. h(d) = 0.6d + 13; 13 days

Step-by-step explanation:

A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 0.208 meter tall?

Answer: h(d) = 0.6d + 13; 13 days

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3 years ago