Paper clips are sold in small boxes and in large boxes.
There is a total of 1115 paper clips in 4 small boxes and 5 large boxes.
There is a total of 530 paper clips in 3 small boxes and 2 large boxes.
Work out the number of paper clips in each small box and in each large box.

Answer:

B

Step-by-step explanation:

We know that the blue triangle is the image as it has the ' on the letters. For example G'.

To first start off, you can look at any points to help solve this problem. I used the point H to help me solve this

Since we know that the black triangle is our old image we know the distance in x values between the black triangle to the blue is -2 as it moves to the left 2 times. (Note: it's going more into the negatives, if it were going to the right it would be positive)

Now we do the same to find our y values, and we see that y value for h on the black triangle goes up +1.

Now we know that the X goes to the left two times to get -2 and that the Y goes up once to get +1.

Hope this helps! :)

Answer:

b. (x - 2, y + 1)

Step-by-step explanation:

You can make that determination visually. However, if you need numbers...

Pick a point on the black triangle, let's say F(0, 0) and the corresponding point on the blue tirangle F(-2, 1)

(y₁ + y₂) / (x₁ + x₂) = (0 + 1) / (0 + (-2)) = 1 / -2

[tex]\frac{rise}{run}[/tex] = [tex]-\frac{1}{2}[/tex]  

So, from the F(0,0) position move -2 to the left then up 1 to land on F(-2, 1).

This translated to (x - 2, y + 1)

Answer: (0,1)

Step-by-step explanation:

Hope this helps

Answer: 19.20

Step-by-step explanation: What I did was figure out what 10% of 12 was (1.2) then multiplied it by 6 which was 7.2. Then I added that to 12 and got 19.2.

Let me know if this was helpful! :D

Answer:

19.20

Step-by-step explanation:

I just did this and payed attention during the lesson.

Answer:

C

Step-by-step explanation:

A, B, and D equal -4, while C equals 4.

A positive number times/divided by a negative number (or vice versa) is a negative number.  A negative number times/divided by a negative number (or vice versa) is a positive number.

slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

The linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

The slope is given as:

m = 3/4

The y-intercept is given as:

c = -7

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = 3/4x -  7

The equation in point slope form is calculated as follows:

y = 3/4x -  7

Add 7 to both sides

y + 7 = 3/4x

Express 3/4x as 3/4(x)

y + 7 = 3/4(x)

Subtract 0 from x

y + 7 = 3/4(x - 0)

Hence, the linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

Read more about linear equation at:

https://brainly.com/question/1884491

#SPJ9

If it's a rectangle:

perimeter = 2F+10g

Area=g(4F+4g)

Step-by-step explanation:

Perimeter = 2×(l+b)

Area= l×b

Answer:

percentage formula

Step-by-step explanation:

if it is 68% on 97.65 dollar the 97.68x 68%/100

Answer: 18

Step-by-step explanation:

when there is a in front of an expression in parentheses change the sign of each term in the expression. 9+9=18 so ANSWER 18

Answer:5/8

Step-by-step explanation:i took the exam

Answer:

WHat is it :(

Step-by-step explanation:

Answer:

Easy Question: I/pt=r

Step-by-step explanation:

You take the equation i=prt and you solve it out.

You divide the half "prt" by pt like this: prt/pt

You also do that to the other side "I"

You are left with I/pt=r and there it is!!

Answer:

x > 2

Step-by-step explanation:

Pull out like factors :

  -3x + 6  =   -3 • (x - 2)

Divide both sides by  -3

Remember to flip the inequality sign:

Solve Basic Inequality :

Add  2  to both sides

          x > 2

Answer:

Step-by-step explanation:

-3x + 31 < 25

subtract -31 from both sides:

-3x + 31 - 31 < 25 - 31

simplify:

-3x < -6

reverser the inequality:

3x > 6    divide 3 on both sides

x > 2

Answer:

-3.7

Step-by-step explanation:

-3.2 + 1.5 -2 = -3.7

Answer:

-5/2

Step-by-step explanation:

-6+11/2+(-2)

-12+11+(-4)/2

-5/2

Answer:

96,800,000

Step-by-step explanation:

10/100 × 80million = 88,000,000

10/100 ×88million = 96,800,000

Answer:

(96,800,000)

Step-by-step explanation:

Answer:6 x 4 = 24

Step-by-step explanation:

im not sure what was so hard

Answer:

4x6=24 its just you multiply the two smallest numbers

Answer:

Top left is 90, bottom right is 65.

Step-by-step explanation:

Answer:

13 ml per hr

Step-by-step explanation:

1/5mi=1/65hr

65/5mi=hr

13mi hr

The bicyclist rides 13 miles per hour

I HOPE THIS WORKS FOR YOU!

Answer:

(1/13)(mile/hour)

Step-by-step explanation:

Simplify this rate of change:

 ⅕ mile               1 mile

----------------  =  --------------- = (1/13)(mile/hour)

(1/65) hour         (65/5) hr

Answer:

C. f(x) = x - 7 all over 4

Step-by-step explanation:

NB: Let f(x) = y

Exchange X and Y

Make y the subject

f(x) = 4x + 7

y = 4x + 7

x = 4y + 7

x - 7 = 4y

x - 7 all over 4 = 4 ÷ 4

y = x - 7 all over 4

Answer:

34p -8

Step-by-step explanation:

6 (4p- 2) + 2 (5p + 2)

24p - 12 + 2 (5p +2)

24p - 12 + 10p + 4

34p -8

Answer:  12

Step-by-step explanation:

you can check this by doing this 12 x 2 = 24 + 3 = 27

Answer:

Points G and J are correct.

Step-by-step explanation:

Answer:

About $0.35 per bottle.

Step-by-step explanation:

8.44 / 24 = .3516

Answer:

roughly 35 cents

Step-by-step explanation:

8.44/ 24= .3516

.3516x24= 8.44

Hope this helps. Plz give brainliest.

Answer:

a

The  determination is  

    There is sufficient to conclude that proportion of the single policy

b

  The 95% confidence interval is  [tex] 0.0498    < p_1 - p_2 < 0.1302 [/tex]  

holders is difference from the proportion of married policy holders

Step-by-step explanation:

From the question we are told that

The sample size for single policy holders is [tex]n_1 = 500[/tex]

The number of single police holders making claim is k = 95

The sample size for married policy holders [tex]n_2 = 800[/tex]

The number of double police holders making claim is u = 80

The level of significance is [tex]\alpha = 0.05[/tex]

Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the

normal distribution table is

[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The null hypothesis is [tex]H_o : p_1 = p_2[/tex]

The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]

The sample proportion of single police holders making claim is

[tex]\r p_ 1 = \frac{k}{n_1}[/tex]

=> [tex]\r p_ 1 = \frac{95}{500}[/tex]

=> [tex]\r p_ 1 = 0.19[/tex]

The sample proportion of married police holders making claim is

[tex]\r p_ 2 = \frac{u}{n_2}[/tex]

=> [tex]\r p_ 2 = \frac{80}{800}[/tex]

=> [tex]\r p_ 2 = 0.1[/tex]

Generally the pooled sample proportion is mathematically represented as

[tex]\r p = \frac{k + u}{n_1 + n_2}[/tex]

=> [tex]\r p = \frac{95 + 80}{500 + 800}[/tex]

=> [tex]\r p = 0.1346 [/tex]

Generally the test statistics is mathematically represented as

[tex]z = \frac{\r p_1 - \r p_2 }{ \sqrt{ \r p (1 - \r p )* [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]

=> [tex]z = \frac{0.19 - 0.1 }{ \sqrt{0.1346 (1 - 0.1346 )* [\frac{1}{500} + \frac{1}{800} ]} }[/tex]

=>[tex]z = 4.6256 [/tex]

Generally the p-value is mathematically represented as

[tex]p-value = 2* P(Z >4.6256 )[/tex]

From the z table [tex]P(Z >4.6256 ) = 0 [/tex]

[tex]p-value = 2* 0 = 0[/tex]

From the calculation we see that the p-value < [tex]\alpha[/tex] so the null hypothesis is rejected

Hence there is sufficient to conclude that proportion of the single policy holders is difference from the proportion of married policy holders

Generally the standard error is mathematically represented as

[tex]SE = \sqrt{ \frac{\r p_1 (1 -\r p_1)}{n_1} + \frac{\r p_2 (1 -\r p_2)}{n_2} }[/tex]

=> [tex]SE = \sqrt{ \frac{0.19 (1 -0.19)}{500} + \frac{ 0.1 (1 - 0.1)}{800} }[/tex]

=> [tex]SE =0.0205012[/tex]

Generally the margin of error is mathematically represented as

[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=> [tex]E = 1.96 *0.0205012 [/tex]

=> [tex]E = 0.0402035[/tex]

Generally the 95% confidence level is mathematically represented as

[tex]\r p_1 - \r p_2 - E < p_1 - p_2 < \r p_1 - \r p_2 + E[/tex]

=> [tex]0.19  - 0.10 -0.0402035    < p_1 - p_2 < 0.19  - 0.10 + 0.0402035  [/tex]

=>  [tex]0.09 -0.0402035    < p_1 - p_2 < 0.09 + 0.0402035  [/tex]

=> [tex] 0.0498 < p_1 - p_2 < 0.1302 [/tex]

Step-by-step explanation:

y-1=-4/7*(x-(-4))

7(y-1)=-4(x+4)

7y-7=-4x-16

7y+4x=-16+7=-9

so is the first one

Answer:

7y+4x=-9

Step-by-step explanation:

y=-4/7 x +b

1=-4/7 (-4)+b

b=1-16/7

b=7-16/7

b=-9/7

7y=-4x-9

7y+4x=-9