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3 years ago

Seven times the sum of a number 9 and 2 equals .

Mathematics

2 answers:

zmey [24]3 years ago

8 0

I think it’s 9+2 because it say sum

nasty-shy [4]3 years ago

5 0

Answer:

x = 7 x (9 + 2)

Step-by-step explanation:

Sum of 9 and 2 is ( 9 + 2)

7 times that is 7 x (9 + 2)

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Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Indicate in standard form the equation of the line passing through the given points.

lorasvet [3.4K]

Answer:

y = 6

Step-by-step explanation:

Let the y-intercept form of the equation of the line is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the passing through (0, 6) and (5, 6) will be,

m = $\frac{6-6}{0-5}$

m = 0

Equation of the line with m = 0 will be,

y = 0 + b

y = b

Since, line passes through (0, 6),

By substituting the values in the equation,

b = 6

Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,

y = 6

6 0

2 years ago

Kiara is stacking wood. Kiara stacks sixty-five pieces of wood. There are only seven more pieces of wood for kiara to put on the

Dovator [93]

The answer is 72

You would have to add sixty-five plus seven

7 0

3 years ago

Read 2 more answers

Jesse has $3.40 in quarters and nickels. The number of nickels is 5 more than 2 times the number of quarters. How many quarters

dlinn [17]

Answer:

9 quarters

Step-by-step explanation:

From the question

Jesse has $3.40 in quarters and nickels

Quarters = q = number of quarters

1 quarter = $0.25

nickels = n = number of nickels

1 nickel = $0.05

Hence,

0.25q + 0.05n = $3.40 .......Equation 1

The number of nickels is 5 more than 2 times the number of quarters.

n = 2q + 5

0.25q + 0.05n = $3.40 .......Equation 1

0.25q + 0.05(2q + 5) = 3.40

0.25q + 0.10q + 0.25= 3.40

0.35q = 3.40 - 0.25

0.35q = 3.15

q = 3.15/0.35

q = 9

Therefore, Jessie has 9 quarters.

3 0

3 years ago

What is the value of m?

Dima020 [189]

$\huge \underline \mathcal{Answer}$

The given angles forms linear pair, and we know the angles forming linear pair are supplementary,

Therefore,

Angle MHJ + Angle MHL = 180°

Let's solve :

$(5m + 100) \degree + (2 m + 10) \degree = 180 \degree$

$7m + 110 \degree = 180 \degree$

$7m = 70 \degree$

$m = 10 \degree$

Value of variable m = 10°

$\mathrm{✌TeeNForeveR✌}$

3 0

3 years ago