Which ratio is an equivalent ratio to the tape diagram? Select all that apply.

12 to 15
3 to 4
8 to 10
4 to 10

Given:

John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.

Total interest in one year = $1230

To find:

The rates of the investments.

Solution:

Let x% be the rate of interest on investment $5000.

Then, (x+4)% is the rate of interest on investment $8000.

Total interest is $1230. So,

[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]

[tex]50x+80(x+4)=1230[/tex]

[tex]50x+80x+320=1230[/tex]

[tex]130x=1230-320[/tex]

[tex]130x=910[/tex]

Divide both sides by 130.

[tex]x=\dfrac{910}{130}[/tex]

[tex]x=7[/tex]

Now,

[tex]x\%=7\%[/tex]

[tex](x+4)\%=(7+4)\%=11\%[/tex]

Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

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Incomplete question but the comnplete question is  how long will it take the object to travel 4 4/5km

Answer: time taken for the object to travel =  0.47 hrs

Step-by-step explanation:

Step 1 -- The formulae to represent the relationship of speed,  distance and time .

Speed = Distance / Time

Where Speed = 10 1/5 km/h

Distance = 4 4/5 km

Step 2 ---  Solving

Time = Distance / Speed

= 4 4/5 km / 10 1/5 km/h

= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs

0r

4. 8 / 10.2 = 0.47 hrs

 Therefore the time taken for the object to travel =  0.47 hrs

Answer: C) Closed circle at -5; shading to the left

The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation:

Answer:dusy

Step-by-step explanation:

Answer:

h = SA/(2πr) - r

Step-by-step explanation:

From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:

[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]

The rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

The given equation is:

[tex]12(cos\pi+ isin\pi)[/tex]

The above equation is in polar form

Note that:

[tex]cos \pi = -1\\\\sin\pi = 0[/tex]

Substituting [tex]cos \pi = -1[/tex] and [tex]sin \pi = 0[/tex] into the expression [tex]12(cos\pi+ isin\pi)[/tex] in order to get the rectangular form of the expression

[tex]12(cos\pi+ isin\pi)[/tex]

=  12(-1   +   1(0))

=  12 ( -1  +  0)

=  12(-1)

=  -12

Therefore, the rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

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Answer:

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

Answer:

5

Step-by-step explanation:

i took the quiz trust me

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

-------------

solve by any method to get:

x = 65

y = 13

Answer:

The density is 8.5 g/cm³

Step-by-step explanation:

The density formula is density = mass/volume

When we plug our numbers into the formula, we get:

Density = 2210 / 260

We can then solve and get our answer 8.5 g/cm³

It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³.

Suppose that a finite amount of substance is there having its properties as:

The mass of substance = m kg

The density of substance = d kg/m³

The volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 .

density = mass/volume

When we substitute our numbers into the formula, we get:

Density = 2210 / 260

Density = 8.5 g/cm³

It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³

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Answer:

la respuesta es 80 pesos espero que te ayude

Answer: 21, 21

Step-by-step explanation: 21 × 3 = 63, so 21 + 21 + 21 is 63.

Answer:21,21

Step-by-step explanation:

21 × 3 = 63, so 21 + 21 + 21 is 63.

Answer:

put it into slope intercept form. which is y=mx+b

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

The not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.

A residual plot shows the difference between the observed response and the fitted response values.

Given that, Which statement about residual plots is not true

In the given options,

If there is an obvious pattern, the model is probably reasonable, this option is not correct because, The pattern in the residual plot suggests that predictions based on the linear regression line will result in greater error as we move from left to right through the range of the explanatory variable.

So, it is not needed if there is an obvious pattern, then the model is probably reasonable,

Hence, the not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.

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Answer:

No it is too high

Step-by-step explanation:

plz mark brainliest

Answer:

it would be 2

Step-by-step explanation:

Answer:

smaller than the sum of the other two sides

In this case less than 21

Step-by-step explanation:

Triangle Inequality Theorem

Answer:

Let's simplify step-by-step.

y2+(

2xy

2

x)(y)

=y2+x2y2

Answer:

=x2y2+y2

Step-by-step explanation:

Answer:

The margin of error for the 94% confidence interval is 0.6154.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean is:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error of this interval is:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

The critical value of z for 94% confidence level is, z = 1.88.

Compute the margin of error for the 94% confidence interval as follows:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

          [tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]

Thus, the margin of error for the 94% confidence interval is 0.6154.

Answer:

4 3/8

Step-by-step explanation:

1 1/4 * 3 1/2

9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

So when it says he biked 3[tex]\frac{1}{2}[/tex] ur suppose to add it 3 times then u add the both ones on the top and u get 2 then the answer u get is either 9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{2}[/tex]

Answer:

Mean: 1.5

Standard Deviation: 0.9

Step-by-step explanation:

2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.

x=21

Step-by-step explanation:

• 8x - 7 = 9x - 28

(group like terms)

• 8x - 9x = -28 + 7

• -1x = - 21

(negative cancels out)

• x = 21

Answer:

54

Step-by-step explanation:

92 (how much his sister has) - 38 (how much he has) = 54 (how much more money his sister has then him)

Answer: His sister had 54 more dollars than him.

Step-by-step explanation: 92 (sister's amount) -38 (Bobby's amount) = 54 (total difference).

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

A

C

i don't get the first slide

Step-by-step explanation:

Answer:

 A

 C

What is the 1st one?? i don't get it.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Let the no. be x

So, By question,

2(x+5)=6

x+5=3

x=-2

Answer:

2(n+5)=6

Step-by-step explanation:

twice=2*

the sum of a number and five= (n+5)

equals six-=6

------------------------------------------

DISTRIBUTE= 2n+10=6 (Distributive Property)

subtract 10 on both sides= 2n=-4   (subtraction Property of Equality)

divide by two on both sides= n=-2 (Division Property)

Answer: 4/5 or 0.8

Step-by-step explanation: To find how much it grows over time, we have to find the slope. to do that, we need to have two points with exact points on the graph, so (0,0) and (4,5). the equation for slope is rise/run. it rises 4, and runs 5. so 4/5.

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

Answer:

0.125 quarts

Step-by-step explanation: One quart divided by 8

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