one number is 7 more than twice the other number. if the sum of the two numbers is 19, find the two numbers

Answer:

8 km

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

  x           8000 km

--------- = -----------------

2 km       2000 m

Cross-multiplying, we get (2000 m)x = (8000 m)(2 km),

which reduces to x = 8 km

Answer:

Step-by-step explanation:

Since the table showed her that  2 km = 2000m.

To determine, how many km in 2000m, she would divide by 1000.

= 2000 / 1000 = 2 km.

Similarly, for 8000m = 8000 / 1000 = 8 km

Answer:

B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Step-by-step explanation:

Given that:

the null hypothesis is;

[tex]H_o : p =0.10[/tex]

the alternative hypothesis is:

[tex]H_a : p >0.10[/tex]

The p - value for the hypothesis is 0.09

The level of significance ∝ = 0.025

The Decision rule is that to reject the null hypothesis if the p-value is less than the level of significance ∝.

Conclusion: We fail to reject the null hypothesis because the p-value is  greater than the level of significance , therefore:

There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Answer:

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

[tex]A = \frac{1}{2} (a + b)h[/tex]

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

height = 20cm

one of parallel side / a = 8 cm

Substitute the values into the above formula and solve for b

That's

[tex]230 = \frac{1}{2} ( 8 + b) 20[/tex]

Reduce the fraction with 2

That's

[tex]230 = (8 + b) \times 10[/tex]

Expand the terms

That's

[tex]230 = 80 + 10b[/tex]

[tex]10b = 230 - 80 \\ 10b = 150[/tex]

Divide both sides by 10

We have the final answer as

Hope this helps you

Answer:X=10

Step-by-step explanation:

Answer:

9.33

Step-by-step explanation:

12( 4 + 3 ) / 6 + 3

48 + 36 / 6 + 3

84 / 9

9.33

Answer:

Add −11 and 5.

−6

Move 5 spaces to the right starting from -11 and you will end up at -6! (●'◡'●)

Answer:

-6

Step-by-step explanation:

So we want to find the value of:

[tex](-11)+5[/tex]

Simply add:

[tex](-11)+5=-6[/tex]

Further notes:

Again, to use the number line, place the first point at -11. Since we are adding, we move to the right.

So, starting at -11, move 5 spaces to the right. You should end up at -6, confirming our previous answer.

Answer:

I pretty sure its 2 a^ 2 + 6 a^ 3 + 9 a^ 2 + 8 a

Step-by-step explanation:

Answer:

[tex]\huge\boxed{42.9 \%}[/tex]

Step-by-step explanation:

=> [tex]\frac{3}{7}[/tex]

To make it a percentage, we need to multiply and divide it by 100

=> [tex]\frac{3}{7} * \frac{100}{100}[/tex]

=> [tex]\frac{300}{700}[/tex]

To make the denominator 100, we'll divide the numerator and denominator by 7

=> [tex]\frac{300/7}{700/7}[/tex]

=> [tex]\frac{42.9}{100}[/tex]

Percentage means out of hundred, so it becomes

=> 42.9 %

Answer:

Distributive Property

Step-by-step explanation:

I think it's because the bracket was expanded.

Answer:

(-3, -2)

Step-by-step explanation:

y = -2x + 4; y = -2

plug in y

-2 = -2x + 4

subtract 4 from each side

-6 = 2x

divide by 2

x = -3

Answer:

3/4=.75

i wish i could explain but i dont really know but there's the anwser at least

Hope i helped

SJ

Answer:

the answer is 0.75

Step-by-step explanation:

You can put that into a decimal. 3/4 = 0.75 . Dividing a number by a larger number ends in an answer that is less than one always!.

Answer:

Here is an example

Use distributive property to write an expression that is equivalent to 5 x + 25. Solution : 5x + 25 = 5x + 5(5) 5x + 25 = 5(x + 5) Example 7 : Use distributive property to write an expression that is equivalent to 7y + 5y. Solution : 7y + 5y = y(7 + 5) Example 8 : Use distributive property to write an expression that is equivalent to 0.2y + z.

Step-by-step explanation:

Step-by-step explanation:

Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.

Answers:

m∠IGH = 51º

m∠FGH = 102º

Answer:

c

Step-by-step explanation:

cc

Answer:

Quadrant 2 I think.

Step-by-step explanation:

You stet on the x axis wich is positive and you second number on the y axis is negitive

Answer:

375 miles

Step-by-step explanation:

Set it up as an equation where m=miles

$75 +.6m=.80m

Answer: It lost $6.75 in the first year.

Step-by-step explanation: Using the graph, first determine the function of loss in value and years, by calculating:

Slope: m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex] and then, substitute in: [tex]y-y_{0}=m(x-x_{0})[/tex]

The equation is:

[tex]y-y_{0}=(\frac{y_{a}-y_{b}}{x_{a}-x_{b}} )(x-x_{0})[/tex]

Assuming y is value and x is years.

From the graph, in year 0, loss is 10 and in year 4, loss is 7, i.e.:

[tex]y-10=(\frac{7-10}{4-0} )(x-0)[/tex]

[tex]y=\frac{-3}{4}x+10[/tex]

For the first year, loss in value will be:

[tex]y=\frac{-3}{4}.1+10[/tex]

y = 6.75

During the first year, the loss in value is $6.75

Answer: 1,000

Step-by-step explanation:

Answer:

Natalie is 13 years old

Step-by-step explanation:

7+6=13

Answer:13

Step-by-step explanation: 7 + 6 = 13

Answer:

Total # of marbles: 10

# of red marbles: 7

Probability of choosing a red marble out of 10 marbles: 7/10

Then in the second round, you replace that marble so you still have a total of 10 marbles and 7 of them will still be red: 7/10

Multiply...

7/10 x 7/10 = 49/100

PROBABILITY: 49/100 (or 49%)

Hoped I helped

Answer: B

Step-by-step explanation:

To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.

f(x)-g(x)                                              [plug in f(x) and g(x)]

-3x+2-x³                                             [rewrite in the correct order]                

-x³-3x+2

Since there are no like terms for us to combine, B is our correct answer.

Answer:

135 square centimeters.

Step-by-step explanation:

The area of a triangle is given by the formula:

[tex]A=\frac{1}{2}bh[/tex]

Where b is the base length and h is the length of the vertical height.

From the triangle, we can see that the base is 18 and the vertical height is 15. Thus:

[tex]A=\frac{1}{2}(18)(15)[/tex]

Multiply:

[tex]A=(9)(15)\\A=135\text{ cm}^2[/tex]

The area of the triangle is 135 square centimeters.

Answer:

135 cm

Step-by-step explanation:

Answer:

JL = 21

Step-by-step explanation:

Given that K is on line segment JL, therefore:

KL + JK = JL (according to segment addition postulate)

KL = 2x - 2

JK = 5x + 2

JL = 4x + 9

Thus:

[tex] (2x - 2) + (5x + 2) = (4x + 9) [/tex]

Solve for x

[tex] 2x - 2 + 5x + 2 = 4x + 9 [/tex]

[tex] 2x +5x - 2 + 2 = 4x + 9 [/tex]

[tex] 7x = 4x + 9 [/tex]

Subtract 4x from both sides

[tex] 7x - 4x = 4x + 9 - 4x [/tex]

[tex] 3x = 9 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{9}{3} [/tex]

[tex] x = 3 [/tex]

Find the numerical length of JL

[tex] JL = 4x + 9 [/tex]

Plug in the value of x

[tex] JL = 4(3) + 9 = 12 + 9 = 21 [/tex]

Answer:

1/6

Step-by-step explanation:

I don't know how to use it using a number line sorry

-1/3 - (-1/2)

Two minuses give us a plus

so:

-1/3 + 1/2

make the denominators the same and what you multiply at the bottom you multiply at the top (check online about adding fractions if you don't understand)

so:

-2/6 + 3/6 = 1/6

Answer:

-6

Step-by-step explanation:

2x = x-6

subtract x from both sides

x = -6

Answer:

2x=x-6

Step-by-step explanation:

2 times a number -> 2x

6 less than x -> x-6

Our equation would be:

2x=x-6

Subtract x from both sides.

2x-x=x-x-6

Combine like terms

x=-6

Answer:

The null hypothesis will not be rejected at 5% significance level.

Step-by-step explanation:

Consider a Chi-square test for goodness of fit.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

 [tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

The information provided is:

Observed values:

Half Pint: 36  

XXX: 35  

Dark Night: 9  

TOTAL: 80

The expected proportions are:  

Half Pint: 40%

XXX: 40%  

Dark Night: 20%  

Compute the expected values as follows:

E (Half Pint)  

 [tex]=\frac{40}{100}\times80=32[/tex]

E (XXX)  

 [tex]=\frac{40}{100}\times80=32[/tex]

E (Dark night)  

 [tex]=\frac{20}{100}\times80=16[/tex]

Compute the test statistic as follows:

 [tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]

     [tex]=\frac{(36-32)^{2}}{32}+\frac{(35-32)^{2}}{32}+\frac{(9-16)^{2}}{16}\\\\=3.844[/tex]

The test statistic value is, 5.382.

The degrees of freedom of the test is:

n - 1 = 3 - 1 = 2

The significance level is, α = 0.05.

Compute the p-value of the test as follows:

p-value = 0.1463

*Use a Chi-square table.

p-value = 0.1463 > α = 0.05.

So, the null hypothesis will not be rejected at 5% significance level.

Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)=  { m }   {N - m }

                  {x }    {n - x}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { N }

                     { n  }

a)

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

so

P(X= 0)  = { 2 }    { 10 - 2 }

                 {0 }    { 2 - 0}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P (X = 0)  = { 2 }   { 8}

              {  0 }   { 2  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

b)

the probability that one motor will operate satisfactorily and the other will not.

P(X=1)  = { 2 }   { 10 - 2 }

              {  1 }    { 2 - 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P(X=1)  = { 2 }   { 8 }

              {  1 }   { 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

P(X=1)  = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

Answer:

770,000?

Step-by-step explanation:

your just rounding

Answer:

766,000

Step-by-step explanation:

Brainliest pleeease

Answer:

3.5 lbs of jellybeans

Step-by-step explanation:

2.5 x 3.40

8.5

13.75 - 8.5 = 5. 25

5. 25 divided by 1.50 =

3.5

Answer:

3.5

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

Let x = the number

6x-3=52+x

   6x=55+x

   5x=55

     x=11

Hope this helps!! :)

Please let me know if you have any questions