Please answer this correctly

Answer:

6

Step-by-step explanation:

you have to distributw the 4 to the 1/4 so essentially youre multiplying the exponents. think of it as 4*1/4 and youll have 4/4 which equals to 1. 6^1 is just 6 so thats the answer

well first you have to multiply 6 by 1/4 and then you have to do this: 1.5*1.5*1.5*1.5 to get your answer i think....

Answer:

5

Step-by-step explanation:

h(2)=5(2)-5

5 x 2 = 10

10 - 5 = 5

The value of the function h(x) = 5x - 5 at x = 2 will be 5.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The function is given below.

h(x) = 5x - 5

Then the value of the function at x = 2 will be

h(2) = 5 (2) - 5

h(2) = 10 - 5

h(2) = 5

The value of the function h(x) = 5x - 5 at x = 2 will be 5.

More about the value of expression link is given below.

https://brainly.com/question/23671908

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Answer:

When f(x) = 2, x = 1/2, -2/3

Step-by-step explanation:

Step 1: Set equation equal to 2

[tex]2 = \frac{x-2}{3x^2 +x -2}[/tex]

Step 2: Multiply both sides by denominator

2(3x² + x - 2) = x - 2

Step 3: Distribute

6x² + 2x - 4 = x - 2

Step 4: Isolate everything to one side

6x² + x - 2 = 0

Step 5: Factor

(2x - 1)(3x + 2) = 0

Step 6: Find roots

x = 1/2, -2/3

Answer:

a [tex]\mathbf{P(X=3)=0.1406}[/tex]

b [tex]\mathbf{\[P\left( {X = 3 \ or \ 4 } \right) = 0.1025}[/tex]

c  [tex]\mathbf{\[P\left( {X = 3 \ or \ 4 \ or \ 5 } \right) = 0.1035}[/tex]

Step-by-step explanation:

Given that:

In a multiple choice quiz:

there are 5 questions

and 4 choices for each question (a, b, c, d)

let X be the correctly answered question = 1 answer only

and Y be the choices for each question = 4 choices

The probability that Robin guessed the correct answer is:

Probability = n(X)/n(Y)

Probability = 1//4

Probability = 0.25

The probability mass function is :

[tex]P(X=x)=0.25 (1-0.25)^{x-1}[/tex]

We are to find the required probability that the first question she gets right is the 3rd question.

i.e when x = 3

[tex]P(X=3)=0.25 (1-0.25)^{3-1}[/tex]

[tex]P(X=3)=0.25 (0.75)^{2}[/tex]

[tex]\mathbf{P(X=3)=0.1406}[/tex]

b) Find the probability that  She gets exactly 3 or exactly 4 questions right

we know that :

n = 5 questions

Probability P =0.25

Let represent X to be the number of questions guessed correctly i,e 3 or 4

Then; the probability mass function can be written as:

[tex]\[P\left( {X = x} \right) = \left( {\begin{array}{*{20}{c}}\\5\\\\x\\\end{array}} \right){\left( {0.25} \right)^x}{\left( {1 - 0.25} \right)^{5 - x}}\][/tex]

[tex]P(X = 3 \ or \ 4)= P(X =3) +P(X =4)[/tex]

[tex]\[P\left( {X = 3 \ or \ 4 } \right) = \left( {\begin{array}{*{20}{c}}\\5\\\\3\\\end{array}} \right){\left( {0.25} \right)^3}{\left( {1 - 0.25} \right)^{5 - 3}}\] + \left( {\begin{array}{*{20}{c}}\\5\\\\4\\\end{array}} \right){\left( {0.25} \right)^4}{\left( {1 - 0.25} \right)^{5 - 4}}\][/tex]

[tex]\[P\left( {X = 3 \ or \ 4 } \right) = \dfrac{5!}{3!(5-3)!}\right){\left( {0.25} \right)^3}{\left( {1 - 0.25} \right)^{5 - 3}}\] + \dfrac{5!}{4!(5-4)!} \right){\left( {0.25} \right)^4}{\left( {1 - 0.25} \right)^{5 - 4}}\][/tex]

[tex]\[P\left( {X = 3 \ or \ 4 } \right) = \dfrac{5!}{3!(2)!}\right){\left( {0.25} \right)^3}{\left( {0.75} \right)^{2}}\] + \dfrac{5!}{4!(1)!} \right){\left( {0.25} \right)^4}{\left( {0.75} \right)^{1}}\][/tex]

[tex]\[P\left( {X = 3 \ or \ 4 } \right) = 0.0879+0.0146[/tex]

[tex]\mathbf{\[P\left( {X = 3 \ or \ 4 } \right) = 0.1025}[/tex]

c) Find the probability if She gets the majority of the questions right.

We know that the probability mass function is :

[tex]\[P\left( {X = x} \right) = \left( {\begin{array}{*{20}{c}}\\5\\\\x\\\end{array}} \right){\left( {0.25} \right)^x}{\left( {1 - 0.25} \right)^{5 - x}}\][/tex]

So; of She gets majority of her answers right ; we have:

The required probability is,

[tex]P(X>2) = P(X=3) +P(X=4) + P(X=5)[/tex]

∴

[tex]\[P\left( {X = 3 \ or \ 4 \ or \ 5 } \right) = \left( {\begin{array}{*{20}{c}}\\5\\\\3\\\end{array}} \right){\left( {0.25} \right)^3}{\left( {1 - 0.25} \right)^{5 - 3}}\] + \left( {\begin{array}{*{20}{c}}\\5\\\\4\\\end{array}} \right){\left( {0.25} \right)^4}{\left( {1 - 0.25} \right)^{5 - 4}}\]+ \left( {\begin{array}{*{20}{c}}\\5\\\\5\\\end{array}} \right){\left( {0.25} \right)^5}{\left( {1 - 0.25} \right)^{5 - 5}}\][/tex]

[tex]\[P\left( {X = 3 \ or \ 4 \ or \ 5 } \right) = \dfrac{5!}{3!(5-3)!}\right){\left( {0.25} \right)^3}{\left( {1 - 0.25} \right)^{5 - 3}}\] + \dfrac{5!}{4!(5-4)!} \right){\left( {0.25} \right)^4}{\left( {1 - 0.25} \right)^{5 - 4}}\] + \dfrac{5!}{5!(5-5)!} \right){\left( {0.25} \right)^5}{\left( {1 - 0.25} \right)^{5 - 5}}\][/tex]

[tex]\[P\left( {X = 3 \ or \ 4 \ or \ 5 } \right) = \dfrac{5!}{3!(5-3)!}\right){\left( {0.25} \right)^3}{\left( {1 - 0.75} \right)^{2}}\] + \dfrac{5!}{4!(5-4)!} \right){\left( {0.25} \right)^4}{\left( {0.75} \right)^{1}}\] + \dfrac{5!}{5!(5-5)!} \right){\left( {0.25} \right)^5}{\left( {0.75} \right)^{0}}\][/tex]

[tex]\[P\left( {X = 3 \ or \ 4 \ or \ 5 } \right) = 0.0879 + 0.0146 + 0.001[/tex]

[tex]\mathbf{\[P\left( {X = 3 \ or \ 4 \ or \ 5 } \right) = 0.1035}[/tex]

Answer:

Ivy's definition matches the comment that starts with "Sorry, this is incorrect. An ellipse..." because she didn't specify that the points that belong to the circle must be the same distance away from the center point. According to Ivy's definition, any curved and closed shape would be a circle but that's not true. For example, like the teacher said, an ellipse would match her circle definition but an ellipse is not a circle, it's more like an oval-ish shape. Ethan's definition is correct. Ebuka's definition matches the comment that starts with "Your definition is close..." because he/she didn't say that the shape must be closed. According to Ebuka's definition, an incomplete curve could count as a circle but that's not true, for example, as the teacher said, a semicircle is not a circle.

Answer: brainliest plz:)

ivy is the 3

ethan is correct

ebuka is close

Step-by-step explanation:

ivy is not even close to the correct

ethan got it right on and the last one was really close but not quite

Answer:

First, you can graph the y-intercept. The y-intercept would be (0,3) or in your equation, the number 3. Next, you could create a table by substituting values for x such as 1, 2, 3, or 4. This will give you easy numbers to graph. Instead of creating a table, perhaps you want to graph this by plotting the slope. Since the slope is 3/2, is means that it is going up, because the number is positive. An easy way to start would be starting at your y-intercept, (0,3), you could go two to the right and three up. That is a point. Then you could go the way down; two to the left and three down. Finally, you can draw a line connecting the points together.

I hope this helped you! Have a great rest of your day!

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population proportion significantly differs from 0.89.

The requirements for the test are satisfief.

n(1-p)=70>10

Step-by-step explanation:

This is a hypothesis test for a proportion.

There are 3 requirements to have a valid test of proportion: random sample, independence and normal.

For the first two (random and independent sample) we don't have details, but we assume the sampling has been random.

The latter can be verified by calculating np and n(1-p):

[tex]np=430>10\\\\n(1-p)=70>10[/tex]

Both are bigger than 10, so the normal approximation can be considered appropiate.

The claim is that the population proportion significantly differs from 0.89.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.89\\\\H_a:\pi\neq 0.89[/tex]

The significance level is 0.01.

The sample has a size n=500.

The sample proportion is p=0.86.

[tex]p=X/n=430/500=0.86[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.89*0.11}{500}}\\\\\\ \sigma_p=\sqrt{0.000196}=0.014[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.86-0.89+0.5/500}{0.014}=\dfrac{-0.029}{0.014}=-2.072[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=2\cdot P(z<-2.072)=0.038[/tex]

As the P-value (0.038) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population proportion significantly differs from 0.89.

Answer:

2x+1/(x-2)(x²+1)= 1/(x-2) + (-2x )/(x²+1)

Step-by-step explanation:

2x+1/(x-2)(x²+1) = a/(x-2) + (bx+c)/(x²+1)

Multiplying with the denominators

2x+1= a(x²+1) +( bx+c)(x-2)

Let x = 2

2(2) + 1 = a(2² + 1) + 0

5 = a5

a = 1

Then let's expand the brackets

2x +1= ax² + a + bx² -2bx + cx - 2c

Comparing co-efficients

ax² + bx² = 0

a + b = 0 equation 1

a -2c = 1 equation 2

-2bx + cx = 2x

-2b + c = 2 equation 3

Let's remember a= 1

a + b = 0

1 + b= 0

b = -1

a -2c = 1

1 - 2c = 1

c= 0

-2b + c = 2

-2(-1) + 0 = 2

2= 2. Verified.

a/(x-2) + (bx+c)/(x²+1)

= 1/(x-2) + (-2x )/(x²+1)

2x+1/(x-2)(x²+1)= 1/(x-2) + (-2x )/(x²+1)

Answer:

13x+9=30

13x=30+9

13x=39

divide both sides by 13

x=3

12x+1=-13

12x=-13-1

12x=-14

divide both sides by 12

x=7/6

x+2+4=11

x+6=11

x=11_6

x=5

The solution {x} for each function is -

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to solve each of the functions given.

.

{ 1 } -

13x + 9 = 30

13x = 21

{x} = 21/13

{ 2 } -

12x + 1 = - 13

12x = - 14

x = -14/12

{x} = -7/6

{ 3 } -

x + 2 + 4= 11

x = 11 - 2 - 4

{x} = 5

Therefore, the solution {x} for each function is -

To solve more questions on functions, visit the link below-

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is:

y    |    P(Y)    

0    |     0.50  

1     |     0.20

2    |     0.25

3    |     0.05

Compute E(Y)

Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge.

Answer:

The expected value E(Y) is

[tex]E(Y) = 0.85[/tex]

The expected amount of the surcharge is

[tex]E(100Y^2) = 165[/tex]

Step-by-step explanation:

Let Y be the number of moving violations for which the individual was cited during the last 3 years.

The given probability mass function (pmf) of Y is

y    |    P(Y)    

0    |     0.50  

1     |     0.20

2    |     0.25

3    |     0.05

Compute E(Y)

The expected value E(Y) is given by

[tex]E(Y) = \sum Y \cdot P(Y) \\\\E(Y) = 0 \cdot 0.50 + 1 \cdot 0.20 + 2 \cdot 0.25 + 3 \cdot 0.05 \\\\E(Y) = 0.85[/tex]

Suppose an individual with Y violations incurs a surcharge of $100Y2. Calculate the expected amount of the surcharge.

The expected amount of the surcharge is given by

[tex]E(100Y^2) = 100E(Y^2)[/tex]

Where

[tex]E(Y^2) = \sum Y^2 \cdot P(Y) \\\\E(Y^2) = 0^2 \cdot 0.50 + 1^2 \cdot 0.20 + 2^2 \cdot 0.25 + 3^2 \cdot 0.05\\\\E(Y^2) = 1.65[/tex]

So, the expected amount of the surcharge is

[tex]E(100Y^2) = 100E(Y^2) \\\\E(100Y^2) = 100 \cdot 1.65 \\\\E(100Y^2) = 165[/tex]

Answer:

Yearly budget= $3840

Monthly budget= $320

Step-by-step explanation:

His budget will be calculated first by rounding off to the nearest$10 all his monthly spending.

For groceries= $176.47

Round off=$ 180.00

For phone =$ 78.66

Round off = $80.00

For gas = $62.37

Round off= $60.00

His total round off = $180+$80+$60

His total round off = $320

Before the round off, his total spending was $176.47+$78.66+$62.37

= $317.5

So his monthly budget should be $320

And yearly budget =$ 320*12

Yearly budget= $3840

Answer: r = 1/9

Step-by-step explanation:

y = rx  -->  [tex]r=\dfrac{y}{x}[/tex]

[tex]1)\ y=1\dfrac{2}{9}\rightarrow\dfrac{11}{9}\\\\.\quad x=11\\\\r=\dfrac{11}{9}\div11\\\\\\r=\dfrac{11}{9}\times \dfrac{1}{11}\quad =\large\boxed{r=\dfrac{1}{9}}[/tex]

[tex]2)\ y=2\dfrac{1}{3}\rightarrow\dfrac{7}{3}\\\\.\quad x=21\\\\r=\dfrac{7}{3}\div21\\\\\\r=\dfrac{7}{3}\times \dfrac{1}{21}\quad =\large\boxed{r=\dfrac{1}{9}}[/tex]

[tex]3)\ y=5\\\\.\quad x=45\\\\r=5\div45\\\\\\r=\dfrac{5}{45}\quad =\large\boxed{r=\dfrac{1}{9}}[/tex]

Answer:

It is AA

Step-by-step explanation:

Answer:

33.777 yd = 0.030886 km

Step-by-step explanation:

==>Given:

33.777 yd

==>Required:

Convert 33.777 yd to km to 6 decimal places, using the metric and U.S systems.

==>Solution:

To convert, note that 1 km = 1093.6133 yd.

Thus,

1 km = 1093.6133 yd

x km = 33.777 yd

Cross multiply

1 × 33.777 = 1093.6133 × x

33.777 = 1093.6133x

Divide both sides by 1093.6133, to solve for x

33.777/1093.6133 = x

0.03088569 = x

x ≈ 0.030886 (to 6 decimal places)

Therefore, 33.777 yd = 0.030886 km

Answer:

True.

Step-by-step explanation:

Try out some numbers:

3 + 3 = 6

5 + 5 = 10

11 + 11 = 22

Answer:

170

one-hundred seventy

Step-by-step explanation:

[tex]2(5(7+4(17 - 9)-22))=\\2(5(7+4(8)-22))=\\2(5(7+32-22))=\\2(5(39-22))=\\2(5(17))=\\2(85)=\\170[/tex]

Answer:

170.

Step-by-step explanation:

2{ 5[7 + 4(17 - 9) - 22]}

2{5[7+32 -22]}

2{5[17]}

2[85] = 170

Answer:

[tex]\frac{7\sqrt{x} }{x}[/tex]

Step-by-step explanation:

To simplify 7/√x, we need to rationalize:

[tex]\frac{7}{\sqrt{x} } (\frac{\sqrt{x} }{\sqrt{x} } )[/tex]

When we multiply the 2, we should get our answer:

[tex]\frac{7\sqrt{x} }{x}[/tex]

Answer:

[tex]\frac{7\sqrt{x} }{x}[/tex]

Step-by-step explanation:

[tex]\frac{7}{\sqrt{x} } \\\\\frac{7}{\sqrt{x} } * \frac{\sqrt{x} }{\sqrt{x} } \\\\\frac{7\sqrt{x} }{\sqrt{x\sqrt{x} } } \\[/tex]

[tex]\frac{7\sqrt{x} }{x}[/tex]

Hope this helps! :)

Answer:

Option A is the right option.

Step-by-step explanation:

Sum of angles in triangle= 180°

[tex]85 + 53 + m < a = 180 \\ or \: 138 + m < a = 180 \\ or \:m < a = 180 - 138 \\ m < a = 42[/tex]

Applying sine rule:

[tex] \frac{sin \: a \: }{a} = \frac{sin \: b}{b} = \frac{sin \: c}{c} \\ \frac{sin \: b}{b} = \frac{sin \: c}{c} \\ \frac{sin \: (85)}{b} = \frac{sin(42)}{85} \\ 85 \: sin \: (85) = \: b \: sin \: (42) \\ b = \frac{85 \: sin \: (85)}{sin \: 42} \\ ac = 126.6[/tex]

Hope this helps....

Good luck on your assignment...

Answer: 8 & 13

Step-by-step explanation:

13 squared is 169 and 8 squared is 64, and the difference of those two squares would be 169 - 64 = 105. Hope this helps!

Answer:

133

Step-by-step explanation:

1000 = 2 * 2 * 2 * 5 * 5 * 5

To not have a multiple of 10, you cannot have 2 and 5 as factors of the same number.

One number is 2^3 = 8.

The other number is 5^3 = 125.

8 * 125 = 1000, so the two do multiply to 1000.

Neither 8 nor 125 is a multiple of 10.

8 + 125 = 133

Answer:

133

Step-by-step explanation:

We are given that the product of two numbers is 1000. Let's first list out the factors of 1000 (factors are numbers that evenly divide into 1000):

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

We see that the pairs are:

(1, 1000)

(2, 500)

(4, 250)

(5, 200)

(8, 125)

(10, 100)

(20, 50)

(25, 40)

An easy way to see if a number is divisible by 1000 is to check is it has a zero at the end. Notice that all of the pairs have at least one number that ends with at least 1 zero except (8, 125), so this is the pair of numbers we're looking for.

The sum is thus 8 + 125 = 133.

~ an aesthetics lover

Answer:

Step-by-step explanation:

The total number of ratio units is 5+4 = 9, so each of them represents ...

  (54 g)/9 = 6 g

of fruit. Multiplying the ratio by this value shows you the amount of each kind of fruit:

  strawberry : blueberry = 5 : 4 = 5(6 g) : 4(6 g)

  strawberry : blueberry = 30 g : 24 g

There are 30 g of strawberry and 24 g of blueberry in the smoothie.

Answer:

(a) The odds for and against E are (8:1) and (1:8) respectively.

(b) The odds for and against E are (7:2) and (2:7) respectively.

(c) The odds for and against E are (59:41) and (41:59) respectively.

(d) The odds for and against E are (71:29) and (29:71) respectively.

Step-by-step explanation:

The formula for the odds for an events E and against and event E are:

[tex]\text{Odds For}=\frac{P(E)}{1-P(E)}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}[/tex]

(a)

The probability of the event E is:

[tex]P(E)=\frac{8}{9}[/tex]

Compute the odds for and against E as follows:

[tex]\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{8/9}{1-(8/9)}=\frac{8/9}{1/9}=\frac{8}{1}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-(8/9)}{8/9}=\frac{1/9}{8/9}=\frac{1}{8}[/tex]

Thus, the odds for and against E are (8:1) and (1:8) respectively.

(b)

The probability of the event E is:

[tex]P(E)=\frac{7}{9}[/tex]

Compute the odds for and against E as follows:

[tex]\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{7/9}{1-(7/9)}=\frac{7/9}{2/9}=\frac{7}{2}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-(7/9)}{7/9}=\frac{2/9}{7/9}=\frac{2}{7}[/tex]

Thus, the odds for and against E are (7:2) and (2:7) respectively.

(c)

The probability of the event E is:

[tex]P(E)=0.59[/tex]

Compute the odds for and against E as follows:

[tex]\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{0.59}{1-0.59}=\frac{0.59}{0.41}=\frac{59}{41}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-0.59}{0.59}=\frac{0.41}{0.59}=\frac{41}{59}[/tex]

Thus, the odds for and against E are (59:41) and (41:59) respectively.

(d)

The probability of the event E is:

[tex]P(E)=0.71[/tex]

Compute the odds for and against E as follows:

[tex]\text{Odds For}=\frac{P(E)}{1-P(E)}=\frac{0.71}{1-0.71}=\frac{0.71}{0.29}=\frac{71}{29}\\\\\text{Odds Against}=\frac{1-P(E)}{P(E)}=\frac{1-0.71}{0.71}=\frac{0.29}{0.71}=\frac{29}{71}[/tex]

Thus, the odds for and against E are (71:29) and (29:71) respectively.

Answer:

c. 0.10

Step-by-step explanation:

Hello!

To accept a batch of components, the proportion of defective components is at most 0.10.

X: Number of defective components in a sample of 10.

This variable has a binomial distribution with parameters n=10 and p= 0.10 (for this binomial experiment, the "success" is finding a defective component)

The distributor will accept the batch if at most two components are defective, symbolically:

P(X≤2)

Using the tables for the binomial distribution you can find the accumulated probability for a sample of n=10 with probability of success of p= 0.10 and number of successes x= 2

P(X≤2)= 0.9298

I hope this helps!

Answer:

  49k^3 -23k -4

Step-by-step explanation:

The distributive property is your friend.

  [tex](7k-4)(7k^2+4k-1)=7k(7k^2+4k-1)-4(7k^2+4k-1)\\\\=49k^3+28k^2-7k-28k^2-16k+4\\\\=49k^3+k^2(28-28)+k(-7-16)-4\\\\=\boxed{49k^3-23k-4}[/tex]

Answer:

Option (C)

Step-by-step explanation:

Option (A):

(-1, -2),(0, 4), (1, 3), (5, 14), (7, 4)

In these ordered pairs (4, 4) and (7, 4) have the same y-value.

This function is not a one-to-one function.

Therefore, this function will have no inverse function.

Option (B):

(-1, 2), (0,4), (1, 5), (5, 4), (7, 2)

(-1, 2) and (7, 2) have the same output values for input values -1 and 7.

This function is not a one-to-one function.

Therefore, this function will have no inverse function.

Option (C).

(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)

For every input value there is a different output value in these pairs.

So the function is one-to-one function.

Therefore, inverse of this function will be a function.

Option (D).

(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)

Here (-1, 4) and (0, 4) show the same y-value which shows, the given function is not a one-to-one function.

Therefore, inverse of this function will not be a function.

Answer:

60 ml of 40% saline and 90 ml of 15% saline

Step-by-step explanation:

We can call the amount of 40% solution x and the amount of 15% solution y.

x + y = 150 -- (1)

0.40x + 0.15y = 150 * 0.25 -- (2)  --- 150 * 0.25 = 37.5

40x + 15y = 3750 (Multiply (2) by 100 to get rid of decimals)

15x + 15y = 2250 -- (3) (Multiply (1) by 15)

25x = 1500           (Subtract (3) from (1)

x = 60

y = 150 - 60 = 90

Answer:

[tex] 37.5= 0.4 x +0.15 y[/tex]

We can solve for x and we got:

[tex] x= \frac{37.5-0.15y}{0.4}= 93.75-0.375 y[/tex]

And replacing into the water condition we have:

[tex] 112.5 = (93.75-0.375 y)*0.6 +0.85y[/tex]

Solving for y we got:

[tex] 112.5= 56.25 -0.225 y+0.85 y[/tex]

[tex] y = \frac{112.5-56.25}{0.625}= 90[/tex]

And then solving for x we got:

[tex] x=\frac{37.5- 0.15*90}{0.4}= 60[/tex]

So we need 60 ml for the solution of 40% saline and 90 ml for the 15% saline solution

Step-by-step explanation:

We can solve this problem with the following system of equations:

[tex] 150*0.25 = x*0.4 + y *0.15[/tex] salt

[tex] 150*(1-0.25)= x(1-0.4) +y(1-0.15)[/tex] water

With x the ml of solution for 40% concentration and y the ml of solution at 15% of concentration

From the salt condition we have:

[tex] 37.5= 0.4 x +0.15 y[/tex]

We can solve for x and we got:

[tex] x= \frac{37.5-0.15y}{0.4}= 93.75-0.375 y[/tex]

And replacing into the water condition we have:

[tex] 112.5 = (93.75-0.375 y)*0.6 +0.85y[/tex]

Solving for y we got:

[tex] 112.5= 56.25 -0.225 y+0.85 y[/tex]

[tex] y = \frac{112.5-56.25}{0.625}= 90[/tex]

And then solving for x we got:

[tex] x=\frac{37.5- 0.15*90}{0.4}= 60[/tex]

So we need 60 ml for the solution of 40% saline and 90 ml for the 15% saline solution

Answer:

Measuring it with a ruler and jotting down the length.

Step-by-step explanation:

If you are copying a line segment, the best way to copy it perfectly is to take the measure of the original line segment and copy down the measurement and then construct the other line segment to the exact measure.

Answer:

Brianlliest!

Step-by-step explanation:

you must measure the current line segment and copy it with the same length and make a new one

Answer:

Of the total 31 + 20 + 6 + 6 + 6 = 69 medals, the USA won 31 of them. 31/69 as a percentage is about 45%. Since there are 360° in a full circle, 45% of that is 0.45 * 360 = 162°.

Answer:

How many degrees will the USA section be in a circle graph?

31°

162°

45°

184°

Step-by-step explanation:

162° THIS ONE IS RIGHT

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