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4 years ago

14

If Yvonne wanted to make 3 dresses that use 4 7/8 yd of fabric each, explain how she could use estimation to make sure she has e

nough fabric for all of them

2 answers:

VladimirAG [237]4 years ago

5 0

I agree. would take the 3 dresses and multiply 5 yards a piece. So she needs a total of 15 yards estimating.

Yuliya22 [10]4 years ago

4 0

Round 4 7/8 to 5 then do 5 times three rhat eguals 15

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Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buy

Ivanshal [37]

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

3 0

3 years ago

What is the ratio of nv/n (1357 k) and nv/n (298k)?

NeX [460]

Ratio is a way of comparing two numbers which are of the same kind. It is normally expressed by separating two numbers with a colon(:) or you could also use division sign (/). The only way that ratios can have mean is that both number should be non-zeros and both of them should have the same sign. Thus having this in mind, the ratio of the numbers above will be:
(1357k)/(298k)
=1357:298

6 0

4 years ago

Read 2 more answers

Make a pattern and explain the rule the pattern follows. Use a minimum of 3 terms within your pattern.

Arisa [49]

Step-by-step explanation:

Bet

5 0

4 years ago

Plz help me i need help please and thank you and show work

tangare [24]

Answer:

g=4

Step-by-step explanation:

10= g+6 if you combine negatives. Subtract 6 from both sides and you get 4=g That is your answer g=4. Hope it helped!!

8 0

3 years ago

Please Help! will give brainlest!

zzz [600]

Answer:

$\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}$

Step-by-step explanation:

we want to solve the following trigonometric equation:

$\displaystyle - 2 { \sin}^{2} (\theta )+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)$

The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos² $\theta$ in the place of sin² $\theta$ :

$\displaystyle - 2 (1 - \cos ^{2} ) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)$

simplify:

$\displaystyle\implies - 2 (1 - \cos ^{2} (\theta) + \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies- 2 + \cos ^{2} (\theta)+ \cos( \theta) + 1 = 0, \: \theta \in [0,2\pi)\\\implies\cos ^{2} (\theta)+ \cos( \theta) -1 = 0$

Consider cos² $\theta\implies$ x. Thus,

$2 {x}^{2} + x - 1 = 0$

solving the quadratic equation yields:

${x}^{} = \frac{1}{2} \\ x = - 1$

back-substitute:

$\begin{cases} \cos( \theta) = \dfrac{1}{2} \\ \cos( \theta) = - 1 \end{cases} \theta \in[0,2\pi)$

take inverse trig in both sides

$\implies \begin{cases} \theta = \dfrac{\pi}{3} + 2n\pi\\\theta= \frac{5\pi}{3} + 2n\pi \\ \theta = \pi + 2n\pi\end{cases} \theta \in[0,2\pi) \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies \theta = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3}$

In conclusion,

$\displaystyle\theta = \frac{\pi}{3} , \pi, \frac{5\pi}{ 3}$

7 0

2 years ago