Name:
Write a system of equations and solve. Show all steps.
How many pounds of peanuts selling for 85 cents per pound must be mixed with 40 pounds of peanuts selling
for 98 cents per pound to produce a blend selling for 90 cents per pound?

Answers

Answer 1

Step-by-step explanation:

Let X be the number of pounds of peanuts selling for 85 cents per pound and Y be the number of pounds of peanuts selling for 98 cents per pound.

We can set up the following system of equations to represent this situation:

X * 0.85 + Y * 0.98 = 0.90 * (X + Y)

X + Y = 40

The first equation represents the total cost of the blend, and the second equation represents the total number of pounds of peanuts.

To solve this system of equations, we can use a method such as graphing, substitution, or elimination.

Using the substitution method, we can solve for one variable in terms of the other and substitute it into the other equation. For example, we can solve the first equation for X:

X = (0.90 * (X + Y) - Y * 0.98) / 0.85

Then, we can substitute this expression for X into the second equation:

(0.90 * (X + Y) - Y * 0.98) / 0.85 + Y = 40

Solving this equation for Y gives us the number of pounds of peanuts selling for 98 cents per pound:

Y = (40 * 0.85 - 0.90 * X) / (0.10 - 0.98)

To find the value of X, we can substitute this expression for Y into the first equation and solve for X:

X * 0.85 + (40 * 0.85 - 0.90 * X) / (0.10 - 0.98) * 0.98 = 0.90 * (X + (40 * 0.85 - 0.90 * X) / (0.10 - 0.98))

Solving this equation for X gives us the number of pounds of peanuts selling for 85 cents per pound:

X = 18.75

Therefore, 18.75 pounds of peanuts selling for 85 cents per pound must be mixed with 40 pounds of peanuts selling for 98 cents per pound to produce a blend selling for 90 cents per pound.


Related Questions

is it consistent dependent or indepdent?

Answers

Answer:

consistent

Step-by-step explanation:

the other ones are spelled wrong also dependent

Ana has 111 ounces of water in a pitcher. After she fills 8 glasses with the same amount of water, there are 15 ounces of water left in the pitcher.
How much water is in each glass?

Answers

There is 12 ounces of water in each glass.

what is the answer for this question

Answers

The

number

of

pupils

that prefer

English

as their favorite subject from the table is 26

How to determine the total number

From the table provided, we have to fill the empty spaces before finding the sum of the numbers.

To calculate the

number

of girls that chose

English

= Total number of girls - sum of Mathematics and Sciences

= 38 - (20 + 12)

= 38 - 32 = 6

To calculate the exact number of boys that chose English, we have;

= Total for Mathematics- Girls that chose Mathematics

= 25 - 20 = 5

Also,

To find the

total

pupils for all the courses - total for girls in general

= 70 -38 = 32

Then,

= 32 - ( 5 + 7)

= 32 - 12 = 20

The total pupils that chose English

= 20 + 6

= 26 pupils

Thus, the

number

is 26

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filling tables

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Put these numbers in order from least to greatest 7.9 7.5 7.541 8.401 7.19

Answers

Answer: 7.19, 7.5, 7.541, 7.9, 8.401

Step-by-step explanation: I would recommend creating a number line and plotting to points, this may help you visual it from least-> great :)

please really need help, no spamming will make brainliest 20 points!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Triangles ΔICR and ΔISU are congruent by SAS rule of congruency, therefore; ∠CIR ≅ ∠SIU by CPCTC

What are congruent triangles?

Two triangles, ΔABC and ΔXYZ are said to be congruent by the Side-Angle-Side, SAS congruency rule, if the two sides and an included angle of triangle ΔABC, are congruent to two sides and an included angle of triangle ΔXYZ.

The specified measurements are;

∠1 ≅ ∠4

CU = RS

IC = IS

IC ≅ IS (Definition of congruency)

The congruency of the sides IC and IS indicates that the triangle ΔICS is an isosceles triangle

Therefore, ∠2 ≅ ∠3 by the properties of the base angles of an isosceles triangle

CU - RU = RS - RU (subtraction property)

RU ≅ RU, (reflexive property of congruency)

CU - RU = CR

RS - RU = SU

CR = SU (Substitution property)

CR ≅ SU (Definition of congruency)

ΔICR is congruent to ΔISU by Side-Angle-Side, SAS, rule of congruency.

∠CIR ≅ ∠SIU by Corresponding Parts of Congruent Triangles are Congruent, CPCTC

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Evaluate the expression √ − 6 /√ − 6 √ − 7 and write the result in the form a + b i

Answers

Answer:

√ − 6 /√ − 6 √ − 7 = -1 + 0i

Step-by-step explanation:

Solve the equation : 3x^2=2x-10

Answers

Answer: 1/3 ± √29/3i

Step-by-step explanation:

To solve these equations, move everything to one side:

3x^2-2x+10 = 0

This cannot be factored, so use the quadratic formula:

x = -(-2) ± √( (-2)^2 - 4(3)(10)) / 2

x = (2 ± √4 - 120) / 6

x = 2 ± (√116 • i) / 6

x = 2 ± (2√29•i) / 6

x = 1/3 ± (√29/3)i

In the figure below, N is between M and O, and O is between N and P. If MP=9, MO=6, and NP=7, find NO.​

Answers

Length of NO = 4 unit.

What is length?

Length is the distance of any object or any figure form one end to another end. In the above question, length of different part of a same straight line is measured one by one.

What is the length of NO given in question?

MP is a straight line. N, M, O, P are all lying on this line. N is between M and O and O is between N and P.

length of MP = 9 unit

length of MO = 6 unit

length of NP = 7 unit

As per the statement, MP - NP = MN

                              MN = 9 - 7

      length of MN = 2 unit

as N is between M and O

so, NO = MO - MN

   NO = 6 - 2

length of NO = 4 unit

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Find the following quotient. Reduce to lowest terms.

11÷44/35

Answers

Answer:

0.071 is your answer.

Step-by-step explanation:

Or you can write 11/1540. First divide 11/44 and divide 35 by your answer. You will get your answer 0.071 and if you want to have this answer in divide form than your answer is 11/1540.

This figure is made up of two rectangular prisms what is the volume

Answers

The required volume of the given figure is 1134 cubic in.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Given that,

A figure made up of two rectangular prisms has shown, we have to determine the volume of the prism.

Here,

The required volume of the figure is given as,

Volume = Volume of the bottom prism + Volume of the top prism

Volume = [7 ×2 × 21 ] + [12 × 10 × 7]

Volume = 294 + 840

Volume = 1134 cubic in.

Thus, the required volume of the given figure is 1134 cubic in.

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A subtraction square is a 3 by 3 grid of integers where, in each row from left to right, and in each column from top to bottom, the first integer minus the second integer equals the third integer. The integer k is in the top left unit square of the subtraction square, as shown. When the subtraction square is filled in completely, what is the sum of all nine integers? Express your answer in simplest form in terms of k.

Answers

The sum of all nine integers in the subtraction square is equal to 9 times the number in the top left unit square, which is k.

1.  Fill in the subtraction square with three rows and three columns.

2.  In each row from left to right, and in each column from top to bottom, the first integer minus the second integer equals the third integer.

3.  The sum of all nine integers is equal to the sum of the numbers in each row plus the sum of the numbers in each column.

4.  The sum of the numbers in each row is equal to k + (k - k) + (k - (k - k)) = 3k

5.  The sum of the numbers in each column is equal to k + (k - (k - k)) + (k - (k - (k - k))) = 3k

6.  So the sum of all nine integers is 9k.

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Just plug in numbers.

This grid works

k k 0k k 00 0 0

so the answer is 4k.

Find c for the inequality 5/7c +2greater than or equal to 4/7

Answers

The solution for the given inequality (5/7)*c + 2 ≤ 4/7 is the one on the third option:

c ≤ -2

How to solve inequality?

Here we want to solve the following inequality:

(5/7)*c + 2 ≤ 4/7

We want to solve this for the variable c, to do so, we need to isolate that variable.

We can start by subtracting 2 in both sides, so we will get:

(5/7)*c + 2 ≤ 4/7

(5/7)*c +2 - 2 ≤ 4/7 - 2

(5/7)*c ≤ 4/7 - 14/7

(5/7)*c ≤ -10/7

Now we can multiply both sides by 7/5 to get:

(7/5)*(5/7)*c ≤ (-10/7)*(7/5)

c ≤ -10/5

c ≤ -2

Then the correct option is the third one.

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Find the solution of the differential equation
y' = 2 square root y . x

Answers

The required solution of the differential equation is given as; y = x⁴/4 + c₁x²/2 + c₁².

What is implicit differentiation?

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

We are Given the differential equation,

y' = 2 √y . x

y' = dy/dx so,

Therefore, we have

dy/dx = 2√y.x

dy/√y = 2x dx

y = [1/2(x² + c₁)]²

y = x⁴/4 + c₁x²/2 + c₁²  

Thus, the solution of the differential equation is given as y = x⁴/4 + c₁x²/2 + c₁² .

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given the following table with selected values of f(x) and g(x) evaluate f(g(1))

Answers

The value of f(g(1) from the table of functions is given as 1.

What is Functions ?

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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the area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 miles. What is the width,in miles of the park

Answers

If the area of the rectangular city park is 25/54 square miles and the length is 5/9 miles, the width of the park, in miles, is 5/6 miles.

What is the formula for the area?

The area is the product of the length and width of a rectangle.

To determine one side given the area and another side, we divide the area by the given side's length.

Area = 25/54 square miles

Length = 5/9 miles

Area = Length x Width

Width = 25/54 ÷ 5/9

= 25/54 x 9/5

= 5/6

Thus, the width is 5/6 miles.

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The ratio of number of number of stamps collected by Susan and Latha is 5:7. If Latha has collected 105 stamps, what is the number of stamps with Susan?
Please answer

Answers

Answer:

Step-by-step explanation:

105 divided by 7 =15 so if 15 times 7=105 then 15 times 5 is 75. so susan has 75 stamps. please mark me brainliest.

The short leg of a right triangle is 10 meters and the acute angles measure 25° and 65°. find the measures of the longer leg of the right
triangle.

Answers

When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.

what is right angle ?

Right angles are created when two straight lines cross at a 90° angle or are perpendicular to one another at the intersection. The sign stands for a right angle. Different right angle formations can be seen in the above image. The proper angles can be found in shapes. Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees.

given

x / sin 65° = 10 / sin 25°

x = 10 sin 65°/ sin 25°

x = 21 .45 meters

as law of sine

a / sinA = b / sinB = c / sinC

When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.

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15 + 12 + 9.6 + ...; n = 40

Answers

The sum of the first 40 terms of the geometric sequence 15 + 12 + 9.6 is given as follows:

75.

How to obtain the sum?

The sum for this problem is defined as follows:

15 + 12 + 9.6 + ..., n = 40.

The ratio between the consecutive terms of the sequence is given as follows:

12/15 = 9.6/12 = 0.8.

This means that the sequence is a geometric sequence, for which:

The first term is of [tex]a_1 = 15[/tex]The common ratio is of q = 0.8.

The sum of the first n terms of a geometric sequence is given by the equation presented as follows:

[tex]S_n = \frac{a_1(q^n - 1)}{q - 1}[/tex]

Considering the numeric values of the parameters [tex]a_1[/tex] and q, the numeric value of the sum is given as follows:

S = 15 x (0.8^40 - 1)/(0.8 - 1)

S = 75.

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Sams total bill was $39.57. If she left $50.50 how much did she tip the waiter?

Answers

Answer:

$10.93

Step-by-step explanation:

3. Writing to Explain At a cat and dog hospital, 9 of the patients
were cats, 17 were dogs. Use this fact to write two ratios.
Explain what each ratio means.

Answers

Answer:

[tex]\frac{9}{17}[/tex] or 9:17  This is the ratio of cats to dogs.

[tex]\frac{17}{9}[/tex] or 17:9  This is the ratio of dogs to cats.

Step-by-step explanation:

Graph the arithmetic sequence.

$4,\ 12,\ 20,\ 28,\ ...$

Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 6 with ticks spaced every 1 unit(s).
The vertical axis goes from -2 to 30 with ticks spaced every 4 unit(s).

Answers

The graph of the arithmetic sequence is added as an attachment

How to graph the arithmetic sequence?

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

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A jug of milk holds 4 quarts. How many liters of milk does the jug hold? Round your answer to the nearest hundredth of a liter. 1 L ≈ 1.06 qt

A. 0.27 L
B. 3.77 L
C. 4.24 L
D. 5.06 L
Please help !!

Answers

Answer: B: 3.77 L.

Step-by-step explanation:

To solve this problem, you need to know that 1 quart is equal to approximately 0.94 liters. This means that 4 quarts is equal to approximately 3.76 liters. Rounding this number to the nearest hundredth of a liter gives you an answer of approximately 3.76 liters, or 3.76 L. Therefore, the correct answer is choice B: 3.77 L.

july 15, 2017 + 7months

Answers

Answer:

February 15, 2018

Step-by-step explanation:

Not sure but I think

3. Students from 4 classes at Franklin Elementary School are going on a field trip to the theater. Each
class has 30 students. There will also be 6 teachers and 14 parents on the trip. There are 20 seats in
each row at the theater. How many rows should be reserved for the field trip?
A 2
B 7
C 74
D 140

Answers

Answer:

B)  7

Step-by-step explanation:

Given information:

Number of classes = 4Number of students in each case = 30Number of teachers = 6Number of parents = 14Number of seats per row = 20

If there are 30 students in each class, and there are 4 classes, the total number of students is:

[tex]\begin{aligned}\implies \textsf{Total students}&=\textsf{Students per class} \times \textsf{Number of classes}\\&=\sf 30 \times 4\\&=\sf 120\end{aligned}[/tex]

Therefore, the total number of people going on the trip is:

[tex]\begin{aligned}\implies \textsf{Total number of people}&=\sf Students+Teachers+Parents\\&=\sf 120+6+14\\&=\sf 140\end{aligned}[/tex]

As there are 20 seats in each row at the theater, to calculate how many rows should be reserved for the trip, divide the total number of people by the number of seats per row:

[tex]\begin{aligned}\implies \textsf{Rows to reserve}&=\sf \dfrac{\sf Total\;people}{\sf Seats\;per\;row}\\\\&=\sf\dfrac{140}{20}\\\\&=\sf 7\end{aligned}[/tex]

Therefore, 7 rows should be reserved for the field trip.

Answer the question below. View the rubric linked above for help if needed.
Simplify the expression (6²a⁻³ / b⁻¹c)⁻². Show all work and explain each step.

Answers

Answer:

[tex] \frac{ {a}^{ 6 } {c}^{2} }{1296 {b}^{2} } [/tex]

Step-by-step explanation:

By Using

[tex] {(\frac{a}{b} )}^{ - n} = {(\frac{b}{a})}^{n} [/tex]

Express the phrase as a positive power

We apply power in fractions for a

Six to two power can be multiplied, then multiplying the number behind A, 36

Now because on top of a fraction there is a negative power, it transferred to below the deduction, but we make the power positively

Now it's a "A" turn

After sorting the phrase "A" to the back of "c" of the phrases to power two

[tex] \frac{ {a}^{6} {c}^{2} }{1296 {b}^{2} } [/tex]

supply the missing numerator or denominator​

Answers

Answer:

You need to find a pattern in order to solve (check explanation)

Step-by-step explanation:

The easiest way to find a pattern is by knowing the difference between two numbers; in this case, it's 3 and 6 (a-numerators), 3 - 6 = 3 we know you could get this by multiplying 3 x 2

Now that you know this-- the other a-numerators are products of 3

A)  3, 6 , 9 , 12 , 15, 18

                          20

____

I'm not so sure as for the b problem, I genuinely don't want to give a bad answer, but possibly using the same tactic could work, it does seem like the denominator is more important for b.

(1) Complete the number sequences.

(a) 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0,

Answers

The next three numbers of sequence is,

⇒ 2.8, 8.4, 8.2

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The sequence is,

⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,

Now,

Since, The sequence is,

⇒ 0.4, 0.2, 0.6, 0.4, 1.2, 1.0, 3.0, .., .., ...,

Clearly, The pattern of the sequence is,

⇒ 0.4 - 0.2 = 0.2

⇒ 0.2 × 3 = 0.6

⇒ 0.6 - 0.2 - 0.4

⇒ 0.4 × 3 = 1.2

⇒ 1.2 - 0.2 = 1.0

⇒ 1.0 × 3 = 3.0

⇒ 3.0 - 0.2 = 2.8

⇒ 2.8 × 3 = 8.4

⇒ 8.4 - 0.2 = 8.2

Thus, Next three terms of the sequence is,

⇒ 2.8, 8.4, 8.2

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4x-(3x-5)=2x+11 x value

Answers

So you have to the answer is 5/12

BEST ANWER GETS BRAINLIEST PLEASE HELP!! :( THIS IS A FINAL!1
2. Apple is also analyzing their profit of the iPhones they sell.
Apple: Profit from iPhones Sold
iPhones sold (in millions) i Profit (in millions of dollars) P(i)
-1 0
2 -9
5 0
6 7
7 16
A. Based on the table, create an equation in factored form (hint: look for the x-intercepts of the function). Then translate the factored form into completed the square form and standard form.
Factored form  P(i) =
Standard form  P(i) =

Answers

The x-intercept of the function is where y=0 and x = -1 or x=5

What is x-intercept?

You should be aware that the x-coordinate of a point where a line, curve, or surface intersects the x-axis. Also, The x-intercept for any curve is the value of x coordinate of the point where the graph cuts x-axis

Considering the table

i                P(i)

-1                0

2               -9

5                0

6                7

7                16

The factored form would be

P(i) = (i+1)(i-5)

The standard form would also be

P(i) = i²-5i+i-5

= i²-7i-5

Therefore the factored and standard forms are  (i+1)(i-5) and  i²-7i-5 respectively

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Deandre rented a movie. He started the movie at 11:48 PM, and it was 2 hours 37 minutes long. When did the movie end?

Answers

Answer:

2:25 am is the right answer.

Answer:

02:25     or     2:25 AM

Step-by-step explanation:

Add 2 hours yo 1148 to get 0148   now add 37 more minutes to get 02:25

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