How can the product of 0.8 and 2 be determined by using a number line?

Number line from 0 to 2 with tick marks at every tenth.

Enter your answers in the boxes.

Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.

[tex]3(x - 2) + 7x = \frac{1}{2} (6x - 2) [/tex]

[tex]3(x - 2) + 7x = \frac{1}{2} (6x - 2) \\ \\ \implies3x - 6 + 7x = ([\frac{1}{2} \times 6 \: x] - [\frac{1}{2} \times 2]) \\ \\ \implies10x - 6 = ([\frac{1}{ \cancel2} \times \cancel 6 \: x] - [\frac{1}{ \cancel2} \times \cancel2]) \\ \\ \implies 10x - 6 = 3x - 1 \\ \\ \fbox{Bringing (3x )to left side whereas( - 6 )in right side} \\ \\ \implies10x - 3x = - 1 + 6 \\ \\ \implies7x = 5 \\ \\ \therefore x = \frac{5}{7} [/tex]

The Solution is = [tex] \frac{5}{7}[/tex]

[tex]\text\red{One Solution set is possible.}[/tex]

Answer:

144

Step-by-step explanation:

Because if you multiply 9*12=108 and 12*12=144

6x + 7 = 43

6x + 7 - 7 = 43 - 7

6x = 36

x = 36/6

x = 6

check

6 * 6 + 7 = 36 + 7 = 43

Answer:

x=6

Step-by-step explanation:

6x+7=43

6x=43-7

6x=36

6x/6=36/6

x=6

hope dis helps!!!!!

Answer:

3x + 5y = 15

Find gradient:

coordinates taken: (5, 0), (0, 3)

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{3-0}{0-5}[/tex]

[tex]\rightarrow \sf -\dfrac{3}{5}[/tex]

equation:

[tex]\sf \bold{ y = m(x) + b}[/tex]

[tex]\rightarrow \sf y = -\dfrac{3}{5} x + 3[/tex]

[tex]\rightarrow \sf y = -\dfrac{3}{5} x + \dfrac{15}{5}[/tex]

[tex]\rightarrow \sf 5y =-3x+15[/tex]

[tex]\rightarrow \sf 3x+5y =15[/tex]

Take two points

So

equation of line in intercept form

[tex]\\ \rm\rightarrowtail \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{x}{5}+\dfrac{y}{3}=1[/tex]

[tex]\\ \rm\rightarrowtail 3x+5y=15[/tex]

Answer:

(b1+b2)h divided by 2 is the formula for a trapezoid

Step-by-step explanation:

ANSWER: 468 ft (squared?)

Answer:

Can you please give us figure of following ?

Answer:

its the last one 212°

212°

212°

212°

212°

212°

Step-by-step explanation:

212°

Answer:

117

Step-by-step explanation:

This is an example of a supplementary angle, so in total it is 180 degrees. Subtract what we know angle 2 is, 63, and we are left with what angle 1 equals, which is 117.

Hope this helps! pls mark brainliest

Answer:

we should take common first

3n+12

taking 3 common

3(n+4)

The geometric sequence can increase or decrease exponentially

The correct sum of the 4th and the 5th terms is 432

The given parameters are:

Initial value (a) = 4

Growth factor (r) = 3

The nth term of a geometric sequence is calculated as:

[tex]T_n = ar^{n-1}[/tex]

This gives

[tex]T_n = 4 * 3^{n-1}[/tex]

For the 4th term; we have:

[tex]T_4 = 4 * 3^{4-1}[/tex]

[tex]T_4 = 108[/tex]

For the 5th term, we have:

[tex]T_5 = 4 * 3^{5-1}[/tex]

[tex]T_5 = 324[/tex]

Add the 4th and the 5th terms

Sum = 108 + 324

Sum = 432

Hence, the correct sum of the 4th and the 5th terms is 432

Read more about geometric sequence at:

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Answer: 66% or 67% if you round it up

Step-by-step explanation: Add 23 and 11 together: 34

I'm not sure how many marbles you drew so I'll say subtract 1: 33

22/33 =.6 repeating.67 if you round it up or 67%

The probability that you draw no blue marble is 23/11.

Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.

A bag has 11 blue marbles and 23 red marbles.

Total number of marbles = 11 + 23 = 34

The probability of picking blue marbles is;

[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]

The probability that you draw no blue marbel IS;

[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]

Hence, the probability that you draw no blue marble is 23/11.

Learn more about probability here;

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Answer:

1. 155 yd², 2. 379.54 ft², 5. x = 65.82π

Step-by-step explanation:

1. A = (1/2) · (3 + 13) · 8

A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²

2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²

3. and 4. Sorry, I don't know how to solve these

5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π

Hope this helps :)

Answer:

3.92

Step-by-step explanation:

From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is 3.92.

The margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the result of a census of the entire population. The margin of error will be positive whenever a population is incompletely sampled and the outcome measure has positive variance, which is to say, the measure varies.

Margin of error at alpha level of significance =

Z score at alpha level of significance * sqrt(variance/ sample size)

Z score at 5% level of significance = 1.96

Variance = 900

Sample size = 225

Margin of error = [tex]1.96 *\sqrt{\frac{900}{225} } = 1.96*\frac{30}{15} = 3.92[/tex]

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The value of the hypotenuse y will be equal to y = 2.8 inches.

The volume of the prism is equal to the product of the area of its base and the height of the prism.

[tex]\rm V=Area \ of\ triangular \ base\times Height \ of \ prism[/tex]

The volume oif the prism is =4 cubic inches

Height of the prism = x inches

Base of the right angle isosceles triangle will be =x inches

The hypotenuse is given = y

Now

[tex]\rm V=\dfrac{1}{2}\times Base\times Height \times height \ of \ prism[/tex]

[tex]V=\dfrac{1}{2} \times x \times x \times x[/tex]

[tex]x^3=8[/tex]

[tex]x=2[/tex]

Now by pythagorus theorem

[tex]y^2=h^2+b^2[/tex]

[tex]y^2=x^2+x^2[/tex]

[tex]y^2=2x^2=2\times 2^2[/tex]

[tex]y=2\sqrt{2}=2.82[/tex]

Thus the value of the hypotenuse y will be equal to y = 2.8 inches.

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Answer:

2.8 INCHES

Step-by-step explanation:

Answer:

8.16, 8.2, 8.245, 8.25

Step-by-step explanation:

8 1/6 = 8.16

41/5 = 8.2

Answer:

20

Step-by-step explanation:

Given:

Lisa is checking out at the bookstore.

Each book (b) costs $1.50 and she has a $5 off coupon she can use.

She wants to spend $25 or less in the bookstore.

Solve:

Since there is a $5 off coupon..

$1.5b - $5.00<=$25.00

$1.5b<= $30.00

$1.5b/1.5 = $30.00/1.5

b=20

Lisa can buy 20 book.

~lenvy~

try to understand the example.

I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%

hope it helps...!!!

Answer:

its 4 i think tell me if i am wrong

Step-by-step explanation:

answer:ok

there are 3 and one fith apples

he need 4

apples

he adds 5/8

apples to his basket

how many apples doess  he end up with

Step-by-step explanation:you add them together

Answer: C and B

Step-by-step explanation: because its rational.

-LearnWithBrainly

The exact numbers listed in this problem are given by:

Exact numbers are numbers that are not rounded. Volumes and lengths, for example, are usually rounded, hence they cannot be called exact.

Thus, the exact numbers listed in this problem are given by:

More can be learned about exact numbers at https://brainly.com/question/14089554

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Answer:

the answer is -6.8°

Step-by-step explanation:

-36°+-25°+12°+-3°+18°/5°

-34°÷5°=-6.8°

Make as Braniliest!

Answer:

C, $12

Step-by-step explanation:

Every hour worked the employee earns $12. This is a fixed rate and the answer is shown in the 1st slot of the table -- 1 hour = $12

Answer:

12 dollars per hour

Step-by-step explanation:

For each hour worked, we make 12 dollars as show in the first column, 1 hour is 12 dollars

We can check using the last colum

48 dollars / 4 hours = 12 dollars per hour

The logarithm value of log 1/2 462 to four decimal places is  –8.8517.

The logarithm is the mathematical inverse function to exponentiation.

The logarithm of a number x is the exponent to another fixed term.

It is given the log of 462 to a base of 1/2.

[tex]log_{0.5} 462 = \frac{log462}{log0.5}[/tex]

 = –8.8517

Therefore, the logarithm value of log 1/2 462 to four decimal places is  

–8.8517.

Learn more about logarithm :

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Answer:

a. There is a phase shift to the left

Step-by-step explanation:

The correct statement for the graph of y = cos (x + pi/6) compared to the graph of y = cos(x) is given by: Option A: There is a phase shift to the left.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

For this case, the parent function y = cos(x) is transformed to make the function y = cos (x + pi/6)

Thus, there is left shift of the graph of the function y =cos(x).

The graphs of both functions (parent function in red color and transformed function in blue color) is given below.

Thus, the correct statement for the graph of y = cos (x + pi/6) compared to the graph of y = cos(x) is given by: Option A: There is a phase shift to the left.

Learn more about transforming functions here:

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Answer:

I believe the answer is 760 ft²

Step-by-step explanation:

16×39/2=312

(17+39)(16)/2=448

448+312=760ft²

let me know if it was right. good luck!

Answer:

2.1 standard drinks

(or 2 if you need to round to the nearest whole number)

Step-by-step explanation:

The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.

So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.

Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).

One standard drink ≈ 0.6 fl oz pure alcohol

To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:

1.28 ÷ 0.6 = 2.1

Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.

Answer:

21

Step-by-step explanation:

-9=9

9+12=21

Answer: 144 Cubic Feet

Explanation: Multiply all of your numbers together to get your volume.

Numbers : Length(12) x Width(3) x Height(4) = 144 cubic feet.

I hope this helps you! :)