Quick please!!! Buford, the farm hand, is preparing feed for
the animals. He wants to mix the contents of a
bag containing 50% corn with one containing
90% corn to optain a 30-pound bag containing
80% corn. How many pounds of the 50% bag
should he use? (write your answer as a
decimal.)

Answers

Answer 1

Buford should use 7.5 pounds of the 50% corn bag.

How do we solve a system of linear equations from word problems?

A system of linear equation is an equation containing two different equations with variables and the coefficient.

From the given information, let:

The weight of the bag containing 50% corn be = xThe weight of the bag containing 90% corn be = y

Sp, we can a system of a linear equation that says:

x + y = 30

0.5x + 0.9y = 0.8(30)

Using elimination method

x + y = 30

-

x - 1.8y = -48

0 - 0.8y = -18

y = 18/0.8

y = 22.5

From x + y = 30

x = 30 - 22.5

x = 7.5

Therefore, we can conclude that he should use 7.5 pounds of the 50% corn bag.

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Related Questions


Select all equations that are equivalent to x² + 6x = 16.
A.
x² + 6x + 9 =0
B.
x² + 6x + 9 = 16
C.
x² + 6x + 9 = 25
D.
(x+3)² = 0
E.
(x + 3)² = 16
F.
(x+3)² = 25

Answers

Answer:

C and F

Step-by-step explanation:

2×2+6×2=16

×=2

C ) 2×2+6×2+9=25 ×=2

F) (2+3)2=25 ×=2

The width of a rectangle measures (10u + 3) centimeters, and its length measures (7u - 8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? The width of a rectangle measures ( 10u + 3 ) centimeters , and its length measures ( 7u - 8 ) centimeters . Which expression represents the perimeter , in centimeters , of the rectangle ? ​

Answers

Answer:

Perimeter of a rectangle: 2L + 2W

2(7u - 8) + 2(10u + 3)

= 14u - 16 + 20u + 6

= 34u - 10

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle.

P = 2 ( length + width)

The perimeter of the rectangle is represented by the expression

(34u - 10) centimeters.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The width of a rectangle = (10u + 3) centimeters.

The length of the rectangle =  (7u - 8) centimeters.

The perimeter of a rectangle is given as,

P = 2 ( length + width)

P = 2 ( 7u - 8 + 10u + 3)

P = 2 (17u - 5)

P = (34u - 10) centimeters.

Thus,

The perimeter of the rectangle is represented by the expression

(34u - 10) centimeters.

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Practice B
Study the graph below and answer the following questions.
100
80
No. of Face Shields Sold
60
40
20
Face Shields Sold by Ms. Lopez
Monday Tuesday Wednesday
Thursday
Days
1. On what days did she sell the same number of face shields?
2. On what day's did she set more than 60 face shields?
3. How many face shields did she sell in 5 days?
4. How many more face shields did she sell on Thursday than on Friday?
What inference can you make if Ms. Lopez will sell face shield the whole week?
Friday

Answers

Answer:

Where did the writer go in holiday


[tex]10 ^{k - 2} = 100[/tex]
find the value of k​

Answers

Answer:

k = 4

Explanation:

[tex]\sf 10^{k-2}=100[/tex]

make bases similar

[tex]\sf 10^{k-2}=10^2[/tex]

cancel out the bases

[tex]\sf k-2=2[/tex]

add '2' on both sides

[tex]\sf k-2+2=2+ 2[/tex]

simplify the following

[tex]\sf k =4[/tex]

Two towns that are 32 km apart are 8 cm on a map. What is the scale of the map?
This question is urgent, I have grade 8 final exams tomorrow and I'm struggling with this type of question.

Answers

If two towns that are 32 km apart are 8 cm on a map. Then the scale factor will be 1 cm = 4 km.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Two towns that are 32 km apart are 8 cm on a map.

Then the scale factor will be

8 cm = 32 km

1 cm = 4 km

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help me nowwwwwwwwww

Answers

The angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

Angles in a polygon

From the question, we are to determine the angle measurements that the carpenter needs to cut the carpet to make it fit in his room

The diagram shows a heptagon with two of its angles, a right-angle each, and the remaining angles have equal values, x.

First, we will calculate the sum of angles in a heptagon

The sum of angles in a polygon is given by the formula

Sum of angles in a polygon = (n-2)180°

Where n is the number of sides

For a heptagon, n = 7

∴ Sum of angles in a heptagon = (7-2)180°

= 5×180°

= 900°

Now, considering the given diagram, we can write that

x + x + x + x + x + 90° + 90° = 900°

5x + 180° = 900°

5x = 900° - 180°

5x = 720°

x = 720°/5

x = 144°

Hence, the angle measurements the carpenter needs to cut the carpet to make it fit in his room are 144°, 144°, 144°, 144°, 144°, 90°, and 90°

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Plss help get brainiest if right!!

i have 25 coins. some of them are dimes, and some of them are
quarters. in total, i have $5.20. how many dimes and how many
quarters do i have?

Answers

Answer:

18 quarters7 dimes

Step-by-step explanation:

The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.

__

setup

Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...

  d + q = 25

and their total value is ...

  0.10d +0.25q = 5.20

solution

Using the first equation to write an expression for d, we can substitute that into the second equation.

  d = 25 -q

  0.10(25 -q) +0.25q = 5.20

  0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50

  q = 18 . . . . . . . . . . . divide by 0.15

  d = 25 -q = 7

You have 18 quarters and 7 dimes.

_____

Additional comment

It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.

A solid right pyramid has a square base with an edge
length of x cm and a height of y cm.
X
Which expression represents the volume of the
pyramid?
O1/3 xy cm³
O1/3 x²y cm³
O1/2 xy² cm³
O1/2 x²y cm³

Answers

The correct answer is option D which is the volume of the square pyramid will be  [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].

What is a square pyramid?

A solid made up of a square base and four triangles connected side by side and meet at the same edge is called a square pyramid.

Given that:-

The side of the square base is x cmThe height of the pyramid is y cm.

The volume of the pyramid will be calculated as:-

Volume = [tex]\dfrac{1}{2}[/tex] x Length of square pyramid x Height

Volume = [tex]\dfrac{1}{2}[/tex]  x (x)² x y

Volume = [tex]\dfrac{1}{2}[/tex] x²y

Therefore the correct answer is option D which is the volume of the square pyramid will be  [tex]V = \dfrac{1}{2}x^2y\ cm^3[/tex].

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Which of the expressions are equivalent to the one below? Check all that
apply.
(14+4) 6
A. 14 (4+ 6)
B. (14+6) + 4
C. (4+6) (14+6)
D. (4+14) ÷ 6

Answers

Answer:

none of them match

Step-by-step explanation:

maybe something is typed wrong. the answer I got for the equation was 108 and none of them match

1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?
2. What is the probability of drawing E?
3. What is the probability of drawing a vowel?
4. What is the probability of drawing a consonant?
5. What is the probability of drawing P?

Answers

Answer:

4

Step-by-step explanation:

5

if f(x)=-3x-5 and g(x)=4x-2 find (f-g) (x)

Answers

If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.

The given functions are f(x)=-3x-5 and g(x)=4x-2.

We need to find the value of (f-g)(x)

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)

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

= -7x-3

Therefore, the value of  (f-g) (x) is -7x-3.

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Which of the data sets below has a range of 18? Select all that apply.

A) 37, 34, 22, 28, 19, 25
B) 34, 22, 18, 19, 31, 33
C) 95, 79, 83, 88, 81, 99
D) 17, 26, 17, 18, 26, 31
E) 55, 43, 49, 61, 58, 54

Answers

Answer:

A) 37, 34, 22, 28, 19, 25

E) 55, 43, 49, 61, 58, 54

Step-by-step explanation:

The range of a set of data is the largest number minus the smallest number

A) 37, 34, 22, 28, 19, 25

37 - 19 =18

Range is 18

B) 34, 22, 18, 19, 31, 33

34 - 18 =16

Range is 16

C) 95, 79, 83, 88, 81, 99

95 - 81 =14

Range is 14

D) 17, 26, 17, 18, 26, 31

31-17 =14

Range is 14

E) 55, 43, 49, 61, 58, 54

61 - 43 =18

Range is 18

What is the length of segment AB?
7
9
18
25

Answers

Answer:

Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.

Step-by-step explanation:

By lisa Simpson

Answer:

9

Step-by-step explanation:

mulitiply both sides of this equation by r and use the fact that r2=x2+y2 to rewrite this equation in terms of x and y r=-6sin theta

Answers

The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

r³ = r(x² + y²)

( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)

216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]

Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

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need help on this question​

Answers

Answer:

3.5 and 3½

Step-by-step explanation:

Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.

A car drives at a speed of 90 km/h for 2 hours and 20 minutes
How far does the car drive?

Answers

Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

D

Step-by-step explanation:

Which expression is equivalent to 3√64ab²c³?
2abc²[√4a²b³c]
4a²b²c³ (3√5)
8a³b³c¹ (3√/bc)
8a²b²c³(3√/b)

Answers

Answer:

[tex]4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

Step-by-step explanation:

**Please note that the expression quoted in the question is likely incorrect (see attachment)**

Assuming the expression is:

[tex]\sqrt[3]{64a^6b^7c^9}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}{ \cdot \sqrt{b}[/tex]

[tex]\implies \sqrt[3]{64} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

Rewrite 64 as 4³:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^7}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \sf to\:\:b^7[/tex]

[tex]\implies b^7=b^{6+1}=b^6b^1=b^6b[/tex]

Therefore:

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\implies \sqrt[3]{4^3} \cdot \sqrt[3]{a^6}\cdot \sqrt[3]{b^{6}}\cdot \sqrt[3]{b}\cdot \sqrt[3]{c^9}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex]

[tex]\implies 4^{\frac{3}{3}} \cdot a^{\frac{6}{3}} \cdot b^{\frac{6}{3}} \cdot \sqrt[3]{b} \cdot c^{\frac{9}{3}}[/tex]

Simplify:

[tex]\implies 4^1 \cdot a^2 \cdot b^2 \cdot \sqrt[3]{b} \cdot c^3[/tex]

[tex]\implies 4a^2b^2c^3\left(\sqrt[3]{b}\right)[/tex]

³√64ab²c³√4³ab²c³4c√a^{2/3}b^{2/3}

The expression is seemed to have none of the above solutions

How could you solve this problem?
2 × 3 × 4
Check all that are true.

Multiply 3 × 4 to get 12 and then multiply 12 × 6.

Multiply 2 × 3 to get 6 and then multiply 6 × 12.

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.

Answers

2x3x4 = 24 so the only statements that are correct are the 3rd and 4th ones as they are the only ones that equal 24.

Step-by-step explanation:

multiply 2×3 to get 6 and then multiply 6×4

or

multiply 3×4 to get 12 and then multiply 12×2

sin2pheta/sinpheta + 1+cos2pheta/cospheta =

4sinpheta
4cospheta
2cospheta
2sinpheta​

Answers

Answer:

4cos(θ)

{4cospheta}

Answer:

4cos(θ)

{4cospheta}

Step-by-step explanation:

[note, brainly doesn't allow pheta to be entered as a symbol when writing an equation, so I had to write it out, my apologies]

[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}+\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\\[/tex]

[tex]\frac{1+\cos \left(2pheta\right)}{\cos \left(pheta\right)}\ = 2\cos \left(pheta\right)[/tex]

[tex]\frac{\sin \left(2pheta \right)}{\sin \left(pheta\right)}=2\cos \left(pheta\right)[/tex]

2cos(θ) + 2cos(θ) = 4cos(θ)

so, 4cos(θ) is your answer

(4cospheta)

hope this helps!! :)

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

The correct option is Option A:  x > 38° this statement about x value is true.

Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.

Given the angle ∠NPO= 38°

∠PON= 39°

As we know the exterior angle is the sum of the two farthest interior angles of the triangle.

Then we can write the angle ∠PNM as

So, ∠PNM = ∠NPO + ∠PON

⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}

{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}

As x=77°

which satisfies the relation x=77° >38°.

Therefore,The correct option is Option A:  x > 38° this statement about x value is true.

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A summer camp has 20 boys and 20 girls. Each day, all camper names are put in a hat, and one name is drawn to receive a prize. What are the odds in favor of boys names being drawn on three out of three nights?
A. 1:1
B. 1:7
C. 1:8
D. 7:1

Answers

Answer:

a

Step-by-step explanation:


If c = 7, then the value of b is...

Answers

Answer:

3.5

Step-by-step explanation:

The triangle shown is a 30-60-90 special right triangle. All right triangles that have a 30-degree angle will be, but if needed you can use the equation: 180 - (90 + 30) = x, to find the missing angle.

Special Right Triangles

Special right triangles are useful because they allow us to easily find missing sides without having to use sin, cos, or tan. All special right triangles have formulas that can be used to find missing sides.

Formulas

30-60-90 triangles have 3 sides: the hypotenuse (c), the short leg (b), and the long leg (a).

The formulas are as follows:

c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]

Solving for b

We are already given c, so the easiest way to find b is to use the formula b = 0.5c. Just plugin the c-value.

b = 0.5(7)

Once simplified the final answer is

b = 3.5

answer it please!!!!

Answers

Answer:

the answer is B  

Step-by-step explanation:

I used photo math it shows the correct answer

Answer:

2nd one (B)

Step-by-step explanation:

Find the relationship between zeros and intercepts of the polynomial m2 + 5m + 4.

They are equal to zero
They are same
They are different
They are opposites

Answers

The zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.

Intercepts and zero of a function

A quadratic function is a function that has a degree of 2.

Given the following equation

f(m) = m^2 + 5m + 4

The x-intercept occurs at the point where f(m) is zero and same is applicable to the zeros of the function.

This shows that the zeros and intercepts of the polynomial m^2 + 5m + 4 will be different.

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can someone help me here pls thanks!​

Answers

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

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Answer:

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

Step-by-step explanation:

solve : y+3=10 solve the question​

Answers

The answer is seven
Y equals ten minus three

Answer:

y+3=10

solution,

y+3=10

y+3-3=10-3

y=7

thus,

y=7ans

What is the principal, if a person paid an amount of $432 after 1 year at 8% rate of interest per annum

Answers

Answer:

principal = $400

Step-by-step explanation:

amount(a)=principal(p) + interest(y).........(1)

Interest(y)=principal(p) x rate(r) x time(t)....(2)

In (1), p= a - y...........(3)

putting (3) in (2),

y = (a - y) x r% x t

y = (432 - y) x 8% x 1

y = 3456%-8y%

y + 0.08y = 3456%

1.08y = 34.56

y = 32

but a - y = p

432 - 32 = p

p = 400

principal = $400

Answer all the questions. 1 The first three terms in a sequence of numbers, T1, T2, T3,... are given below: (a) T₁=1+3=4 T₂=4+5=9 T3=9+7=16 Find T4. Answer T4=​

Answers

Answer:

16 + 9 = 25

Step-by-step explanation:

For each term in the sequence, we can see that the second number being added increases by 2 each time (3, 5, 7)

And that the first number of each term increases by the value of the second term

(1 increases by 3; 4 increases by 5)

we can follow out these two observations to find T4

the first term (9) will increase by the value of the second term (7)

{the sum of the previous term is the first number}

so the first number of T4 will be 16.

Because we left off on +7, we are now on +9

so, T4 is

16 + 9 {and then do the math accordingly}

16 + 9 = 25

So, T4 is

16 + 9 = 25

hope this helps!! have a lovely day!! :)

A.P.E.X Algebra 1 Sem 2

Answers

Answer:

Data Set C

Step-by-step explanation:

You can see that the data is best fit and better looking and fitting to the line in the data set C.

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