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3 years ago

The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the

Mathematics

1 answer:

Crank3 years ago

5 0

Answer:

The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the

Step-by-step explanation:

Simplifying

7x + 3 = 52

Reorder the terms:

3 + 7x = 52

Solving

3 + 7x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7x = 52 + -3

Combine like terms: 3 + -3 = 0

0 + 7x = 52 + -3

7x = 52 + -3

Combine like terms: 52 + -3 = 49

7x = 49

Divide each side by '7'.

x = 7

Simplifying

x = 7

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Which fractions are greater than 6/12? Choose exactly two answers that are correct.

amid [387]

Answer:

2/3 and 3/4

Step-by-step explanation:

6/12 reduces to 1/2 which therefore u can pick options greater than 1/2.

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3 years ago

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Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sel

Rashid [163]

Hi Alyssasmith21!
So $55 for each diamond ring and wants to know how many she needs to sell to get $605. OK this is easy what we have to do is 605/55 to find how many rings which is 11. She needs to sell 11 rings to get $605.
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3 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago

Which lines are parallel?

Vinil7 [7]

red and green

they go in the same direction, side by side, and will never touch

7 0

2 years ago

An eight-sided game piece is shaped like

DiKsa [7]

Answer:

27.5 mm

Step-by-step explanation:

Let the side length of each of the side of the base of the pyramid be a, hence:

perimeter of square = 4a

80 = 4a

a = 20 mm.

The distance from the middle of the square pyramid to the side = r = half of the side length = a/2 = 20 / 2 = 10 mm.

r = 10 mm

The slant height (s) = 17 mm, Let h be the height of each of the pyramid. Using Pythagoras theorem:

r² + h² = s²

17² = 10² + h²

h² = 17² - 10² = 189

h = √189

h = 13.748 mm

The length of the game piece = 2 * h = 2 * 13.748 = 27.5 mm to nearest tenth of a mm.

6 0

3 years ago