Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:

Based on the information given, the number of pencils that should be sold will be 1000 pencils.

Let the number that should be sold be x.

A store owner bought 1500 pencils at $0.10 each. Therefore, the cost price will be:

= 1500 × $0.10 = $150

Profit = Selling price - Cost price

100 = 0.25x - 150

0.25x = 100 + 150

0.25x = 250

x = 250/0.25

x = 1000

Therefore, 1000 pencils should be sold.

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Looking at the first system of equations,

16x - 10y = 10

-8x - 6y = 6

If we multiply both sides of the second equation by 2, the coefficient of x is exactly the negative of the coefficient of x in the first equation.

-8x - 6y = 6

⇒   2 (-8x - 6y) = 2 (6)

⇒   -16x - 12y = 12

By combining this new equation with the first one, we can eliminate x and solve for y :

(16x - 10y) + (-16x - 12y) = 10 + 12

⇒   -22y = 22

⇒   y = -1

Then we just solve for x by replacing y in either equation.

16x - 10y = 10

⇒   16x - 10 (-1) = 10

⇒   16x + 10 = 10

⇒   16x = 0

⇒   x = 0

The main idea behind elimination is combining the given equations in just the right amount so that one of the variables disappears. The "right amount" involves using the LCM of the coefficients of a given variable. In this example, the x-coefficients had LCM(8, 16) = 16, so we only had to scale one of the equations (the one with -8x) to cancel all the x terms.

If we wanted to eliminate y first instead, we first note that LCM(6, 10) = 30. To get 30 as a coefficient on y, in the first equation we would have multiplied by 3:

16x - 10y = 10

⇒   3 (16x - 10y) = 3 (10)

⇒   48x - 30y = 30

And in the second equation, we would have multiplied by -5 (negative so that upon combining the equations, we end up with -30y + 30y = 0):

-8x - 6y = 6

⇒   -5 (-8x - 6y) = -5 (6)

⇒   40x + 30y = -30

Now combining the two scaled equations gives

(48x - 30y) + (40x + 30y) = 30 + (-30)

⇒   88x = 0

⇒   x = 0

We then solve for y :

16x - 10y = 10

⇒   -10y = 10

⇒   y = -1

so we end up with the same solution as before.

Answer:

Breeders cross animals of the same species with desirable traits to create desirable offspring.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The perimeter is multiplied by the scale factor:

  image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

  image area = 3² × original area = 9×6 = 54 square units

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

Answer:

$79

Step-by-step explanation:

Answer:

e = 10

Step-by-step explanation:

9e +4= -5e + 14+ 13e

combine like terms on left side of the equation : -5e + 13e = 8e

9e + 4 = 8e + 14

subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out

e + 4 = 14

subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10

we're left with e = 10

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

Answer:

I Don't know

Step-by-step explanation:

I don't know I don't know I don't know

Answer:

no I'm pretty sure it's wrong

Step-by-step explanation:

the y intercept for that to right us -4

The quadratic equation is given by y = -2x² + 4x + 1

The standard form of a quadratic equation is given by:

y = ax² + bx + c

At point (1, 3):

3 = a(1)² + b(1) + c

a + b + c = 3      (1)

At point (2, 1):

1 = a(2)² + b(2) + c

4a + 2b + c = 1      (2)

At point (-2, -15):

-15 = a(-2)² + b(-2) + c

4a - 2b + c = -15      (3)

Solving equations 1, 2 and 3 simultaneously gives:

a = -2, b = 4, c = 1

The quadratic equation is given by y = -2x² + 4x + 1

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Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

Answer:

Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.

Step-by-step explanation:

1) I want to talk about reflections first.

2) Rigid transformations

Example (check image for visual)

We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.

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

Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.

Answer:

4

Step-by-step explanation:

2x5=10

5-1=4

2(4+1)=10

Answer: 30:25

Step-by-step explanation:

notice how there are 6 yellow and 5 blue

so if we multiply both by 5 then we get

30:25

Answer:

The answer is 5345992476

Step-by-step explanation:

Answer:

 OP = 84  

Step-by-step explanation:

The triangle is equilateral meaning all angles equal and all sides are equal.

5y - 6 = 4y + 12

y - 6 = 12

y = 12 + 6

y = 18

Now  

OP = 4y + 12

OP  =  4(18) +12

  OP = 84  

Answer:

B) -7/4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify.

y = -7/4x + 4

Step 2: Break

Slope m = -7/4

y-intercept b = 4

Answer:

Explanation

Step-by-step explanation:

If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.

Answer:

For rectangle: A=wl

Step-by-step explanation:

Multiply the length by the with to find the answer

Answer:

y = -3x - 3

Step-by-step explanation:

Subtract 3x both sides

y = -3 - 3x

y = -3x + (-3)

Answer:

$90 or $60

Step-by-step explanation:

Answer:

A. 4

Step-by-step explanation:

I hope this helps you!!!

Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

[tex]\frac{EF}{BC}[/tex] = [tex]\frac{DE}{AB}[/tex] , substitute values

[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{30}[/tex] ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

The ratio remains same

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}[/tex]

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}[/tex]

[tex]\\ \sf\dashrightarrow 15x=105[/tex]

[tex]\\ \sf\dashrightarrow x=7[/tex]

Answer:

Step-by-step explanation:

I'll leave you to round

7.)

x= amount invested at time 0

[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]

8.)

[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]

8b.)

In the first investment we had a yield of: 25000-7091.35=17908.65

In the second investment we had a yield of: 35510.5948-7091.35=28419.24

While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate

Answer:

Step-by-step explanation:

i think 0.6

Answer:

8.40665 cups

Step-by-step explanation:

hope this is helpful!