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3 years ago

Write an equivalent expression for -6(-7+2z) Explain in full steps

Mathematics

2 answers:

alexandr1967 [171]3 years ago

7 0

Answer:

42 - 12z

Step-by-step explanation:

We can find an equivalent expression by using distributive property

Distributive property: whenever there is a number outside of the parenthesis you multiply that number by whatever is in the parenthesis

So for -6(-7+2z) we would multiply the number outside of the parenthesis (-6) by what's inside of the parenthesis ( -7 and 2z )

-6 * -7 = 42

-6 * 2z = -12z

An equivalent expression would be 42 - 12z

Zinaida [17]3 years ago

4 0

42-12z

-6(-7+2z)
42-12z

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Improper fraction as decimal

Andru [333]

Um not really a specific enough question for a good answer, but I'll give it a go
all you have to do is use long division and divide the numerator by the denominator (top by bottom)
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for exampe
25/11
use some handy division skills, and you'll get about 2.27
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3 years ago

A boy had a packet of 320 candies with 2 different flavours. 7/16 were orange flavour and the rest were lemon. He gave his frien

MrRa [10]

30 lemon candies he give his friend.

It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.

320 (7/16) = 140 were orange

320 - 140 = 180 were lemon

Let x be the number of lemon ones he gave away

So,

[ 140 - 30 ] / [ 180 - x ] = 11/15

110 = (11/15) ( 180 - x )

(15/11) (110) = 180 - x

150 = 180 - x

x = 180 - 150 = 30

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2 years ago

Elizabeth wants to rent a cart to carry her picnic items. The cost of the cart is represented by the equation c = 8 + 3h where c

WARRIOR [948]

Answer:

1. Number of Hours: 0, 1, 2, 3, 4, 5

Cost In Dollars: 8, 11, 14, 17, 20, 23

2. The cost for renting a car for 10 hours is $38

3. You can rent a cart for 8 hours with $32

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3 years ago

A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The

Oksanka [162]

Answer:

a) $[-0.134,0.034]$

b) We are uncertain

c) It will change significantly

Step-by-step explanation:

a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.

Since we assume that the variances are equal, we use the pooled variance given as

$s_p^2 = \frac{ (n_1 -1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}$ ,

where $n_1 = 40, n_2 = 30, s_1 = 0.16, s_2 = 0.19$ .

The mean difference $\mu_1 - \mu_2 = 10.85 - 10.90 = -0.05$ .

The confidence interval is

$(\mu_1 - \mu_2) \pm t_{n_1+n_2-2,\alpha/2} \sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2}} = (-0.05) \pm t_{68,0.025} \sqrt{\frac{0.03}{40} + \frac{0.03}{30}}$

$= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]$

b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.

c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.

6 0

4 years ago

The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2

vaieri [72.5K]

Answer:

r equals StartFraction C Over 2 pi EndFraction

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$