A grocer wants to mix two kinds of nuts. One kind sells for $2.00 per pound, and the other sells for $2.90 per pound. He wants to mix atotal of 16 pounds and sell it for $2.50 per pound. How many pounds of each kind should he use in the new mix? (Round off the answersto the nearest hundredth.)

The length of ladder is L = 42 foot.

The distance between base of building and ladder is b = 8.5.

Determine the measure of angle by using the trigonometry.

So measure of angle is 78.3 degree.

Answer:

Let [tex]g[/tex] equal the number of games.

Let [tex]r[/tex] equal the number of rides

System of Equations

[tex]2.50g+4r=52.50[/tex]

[tex]r=2g[/tex]

Step-by-step explanation:

One game costs $2.50, so [tex]g[/tex] games cost [tex]2.50g[/tex]. One ride costs $4.00, so [tex]r[/tex] rides cost [tex]4r[/tex]. The total [tex]2.50g+4r[/tex] equals $52.50: [tex]2.50g+4r=52.50[/tex]

Since Stella's number of rides she went on is twice the number of games she played, there are two times the number of games for her number of rides. [tex]r=2g[/tex]

Answer:

The value of the given expression is;

Explanation:

Given the logarithmic expression;

To solve, Recall the rules of logarithm;

Apply the above rules;

Aplplying rule 2;

Therefore, the value of the given expression is;

1) Whenever we have problems that deal with the real distance and distance on the map, we can write out the following formula:

So, let's call the Real distance "R". Note that in this question, 1 centimeter represents 20 kilometers

2) So, in order to plug that as the scale we need to convert kilometers to centimeters:

3) Finally, we can plug that into the formula and cross multiply the ratios this way:

Converting it back to kilometers we can write:

A 220lb person on earth would weigh 23.81lb on moon

Given

Weight of an object on moon varies same as that on the planet earth

This means the weights are directly proportional

Weight of person on earth = 162.7lb

Weight of person on moon = 27.66lb

Also,

Weight of person on earth = 220lb

We need to find weight of this person on moon.

Let weight of person on moon be x

According to the data equation can be formed as

27.66 x 220 = 162.71x

3885.2 = 162.71x

x= 23.81

Hence the weight of the person on moon is 23.lb

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Answer:

4.number 1

5.number 2

Step-by-step explanation:

4.Because the the expression tan can be written as sin divided by cos it will be beneficial to write the square of cos as cos multiplied by cos so that after canceling out we are left with cos multiplied by sin of the left hand side.

5.because transforming cos squared to 1-sin squared will allow us to to have a fraction where both the numerator and denominator are the same which equals one.

Answer: 55

Step-by-step explanation: It makes sense

The linear equation can be written as:

y = (3/4)*x + 17/4

And the graph can be seen at the end.

A general linear equation is of the form:

y = m*x + b

Where m is the slope and b is the y-intercept.

Here we have the slope m = 3/4, so we get:

y = (3/4)*x + b

And the line passes through (1, 5), replacing these values in the equation we get:

5 = (3/4)*1 + b

5 - 3/4 = b

20/4 - 3/4 = b

17/4 = b

So the linear equation is:

y = (3/4)*x + 17/4

To graph the line we need other point, if we use x = 0 we get:

y = (3/4)*0 + 17/4 = 17/4

Then we have the points (1, 5) and (0, 17/4).

To graph the line, we just need to find these two points and connect them with a line, the graph can be seen below.

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Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

Answer:

17 53/60

Step-by-step explanation:

Quadrilateral ABCD has coordinate

A(-4, 3) , B(-3, 6) C(0,8) & D(-2,5)

so we will find the length of the sides

for CD

as we can see AB and CD is not equal to Quadrilateral is not equal.

now we compute the midpoint of the diagonals

midpoint of

r: {8, 3, 4, 7}

Explanation:

y = |x|

domain = -8, -3, 4, 7

domain are the x values or input

r = range

Range are the y values or output

when x = -8

y = |-8| = 8

when x = -3

y = |-3| = 3

when x = 4

y = |4| = 4

when x = 7

y = |7| = 7

r: {8, 3, 4, 7}

blank 1 = 8

blank 2 = 3

blank 3 = 4

blank 4 = 7

Answer:

There is no picture.

Step-by-step explanation:

If you ask a question, be mindful that people cannot read each other minds.

The most appropriate choice for function can be given by

q[tex]o[/tex]p(3) =  [tex]\sqrt{15}+1[/tex]

p[tex]o[/tex]q(3) =  [tex]2\sqrt{3} + 10[/tex]

What is function?

A function from A to B is a rule that maps to each element of A a unique element of B.

A is called the domain of the function and B is called the co domain of the function.

We can do addition, subtraction, multiplication, division and composition on functions.

Let f and g be two functions

f[tex]o[/tex]g(x) = f(g(x)) and g[tex]o[/tex]f(x) = g(f(x))

This is known as composition of function.

Here,

[tex]p(x) = x^2 + 6\\q(x) = \sqrt{x} +1[/tex]

q[tex]o[/tex]p(x) = q(p(x))

          =[tex]q(x^2+6)[/tex]

          = [tex]\sqrt{x^2+6}+1[/tex]

q[tex]o[/tex]p(3) = [tex]\sqrt{3^2+6}+1[/tex]

          = [tex]\sqrt{15}+1[/tex]

p[tex]o[/tex]q(x) = p(q(x))

          = p([tex]\sqrt{x}+1[/tex])

          = [tex](\sqrt{x}+1)^2+6[/tex]

          = [tex]x + 1 + 2\sqrt{x} + 6[/tex]

          = [tex]x + 2\sqrt{x} +7[/tex]

p[tex]o[/tex]q(3) = [tex]3 + 2\sqrt{3} +7[/tex]

               [tex]2\sqrt{3} + 10[/tex]

               [tex]2\sqrt{3} + 10[/tex]

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Given:

x > 3 and x < 5

The inequality compound is:

A function is even if

A function is odd if

For the given question, we will test for both even and odd conditions

Step 1: Test for an even condition

Step 2: Test for an odd function

Answer:

D. In the ordered pair (9,7), 7 is the x-coordinate

Explanation:

The ordered pairs have the form (x, y) where the first number is the x-coordinate and the second number is the y-coordinate. So, in the ordered pair (9, 7), 7 is the y-coordinate. This makes the last statement false and the answer is

D. In the ordered pair (9,7), 7 is the x-coordinate.

The solution to the inequality is m ≤ -14/11 which is the correct answer would be option (C).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

If it is "> or," the shaded arrow is drawn to the right of the inequality graph; if it is "or," it is drawn to the left.

Given the inequality, -1/2m ≥ 7/11,

Which represents the solution to one-half m is greater than or equal to negative seven elevenths

Solve for m:

⇒ -1/2m(-2) ≥ 7/11(-2)

m ≤ -14/11 [Because we are multiplying both sides by a negative value, the sign shifts]

The solution to the inequality is m ≤ -14/11 which the graph is attached below for m ≤ -14/11.

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The total area of all exposed surfaces of a geometric solid is called surface area .

The area is the entire amount of space filled by flat or two-dimensional objects. In other words, the number of square units that cover the surface of a closed figure is used to represent its area.

It is quantified in square inches, or square units. The area only has length and width since 2-dimensional shapes can be measured using them.

The area is a two-dimensional measurement of the size of a flat surface, whereas surface area is a measurement of a solid shape's exposed surface (three-dimensional).

The main distinction between area and surface area is this. However, both amounts are expressed in square units, which is the same for both. Learn the distinction between area and volume as well.

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ANSWER

EXPLANATION

We have that Sarah got a $60 gift card to use in Walmart.

This means that everything she can buy cannot be worth more than $60 (i.e. less than or equal to $60).

She buys orange juice for $4.50 and she wants to buy shirts (which cost $2.29 each)

Let n be the number of shirts Sarah wants to buy.

This means that the cost of n shirts is $2.29n.

Recall that she can only spend less than or equal to $60. This means that the sum of the cost of the orange juice and n shirts is less than or equal to $60.

That is:

That is the inequality that represents the situation.

Answer

Rate = 800 copies per minute

Explanation

Work = rate x time

Work = 2400 copies

Time = 3 minutes

Rate = work / time

Rate = 2400 / 3

Rate = 800 copies per minute

Therefore, rate is 800 copies per minute

Given:-

Given amount is $50.

Price of article is $24.

GST is 7%.

PST is 7%.

To find:-

The remaining amount.

The GST amount is,

The PST amount is,

So the total tax amount is,

Now the total amount of the article is,

So the remaining amount is,

So the remaining amount is $22.64

The total money that is earned on Thursday is $1090

From the question, we have the following table of values

                                   Monday         Tuesday          Wednesday

Plumber A                       2                    8                           8

Plumber B                       4                     7                           10

Plumber C                       3                     9                         9

Using the given parameters in the question, we have the following system of equations

2a + 8b + 8c = 1400 --- (1)

4a + 7b + 10c = 1660--- (2)

3a + 9b + 9c = 1650 --- (3)

Subtract equation (2) from twice equation (1)

So, we have

(4a + 16b + 16c = 2,800) - (4a + 7b + 10c = 1,660)

This gives

9b + 6c = 1140 --- (4)

Subtract four times equation (3) from three times equation (2)

So, we have

12a+ 21b +30c = 4,980 -(12a + 36B + 36c = 6,600)

This gives

-15b - 6c = -1,620 --- (5)

Add equations (4) and (5)

(9b + 6c = 1140) + (-15b - 6c = -1620)

So, we have

-6B = -480

Divide by -6

b = 80

Substitute b = 80 in -15b - 6c = -1,620

-15 x 80 - 6c = -1,620

Evaluate

-1200 - 6c = -1,620

So, we have

-6c = -420

Divide

c = 70

In (2), we have

4a + 7b + 10c = 1660

This gives

4a + 7 * 80 + 10 * 70 = 1660

Evaluate

4a = 400

Divide

a = 100

On Thursday, we have

a = 4, b = 6 and c = 3

So, we have

Total = 4 * 100 + 6*80 + 3*70

Evaluate

Total = 1090

Hence, the total earnings is 1090

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Based on the given figure, the area of the figure can be found to be 126.50 cm²

The figure given is a mix of a triangle and a rectangle. The area of the figure can then be found by finding the area of the triangle and the rectangle individually, and then summing them up.

The area of a rectangle is:

= Length x Width

= 8 x 11

= 88 cm²

The area of the triangle is:

= 1/2 x base x height

= 1/2 x 11 x 7

= 38.5 cm²

The area of the figure is:

= 88 + 38.5

= 126.50 cm²

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THE TRICK IS TO FIND THE VALUE OF X AND Y FIRST.

I WILL USE SUBSTITUTION TO SOLVE THIS SYSTEM OF EQUATIONS.

[tex]y = 4 - 2x......(3)equation[/tex]

[tex]2x - (4 - 2x) = 8 \\ 2x - 4 + 2x = 8 \\ 2x + 2x = 8 + 4 \\ 4x = 12 \\ \frac{4x}{4} = \frac{12}{4} \\ x = 3[/tex]

[tex]y = 4 - 2(3) \\ y = 4 - 6 \\ y = - 2[/tex]

THEN FOR 3X-Y PLUG IN THE VALUES YOU FOUND FOR X AND Y

[tex] = 3(3) - ( - 2) \\ = 9 + 2 \\ = 11 \\ 3x - y = 11[/tex]

ATTACHED IS THE SOLUTION

Step-by-step explanation:

The Answer

I hope you are doing well and I don't want to be a part of this the only reason why you would want this

Answer:

Step-by-step explanation:

To factor the following polynomial, break the expression into groups:

The grouping method can be used to factor polynomials whenever a common factor exists between the groupings. Just find families easier-to-factor groups that we can better approach the problem.

Then, factor it using factor by grouping: