1) If there are 12 eggs in a dozen, which expression represents how many eggs are in x dozens? 12x O x= 12 O x-12 O 12.x 12 + x 12 + x - X​

Answer:

Step-by-step explanation:

The area of a parallelogram of width W and length L is A = W*L.

The area of a trapezoid of width W and different side lengths L1 and L2 is

A = W(L1 + L2)/2.  

To find the area of the trapezoid, take the average of the lengths L1 and L2 of the two parallel sides and call the result L.  Then apply the formula for the area of a parallelogram, given above).

Answer:

\(16^x = 1/64\)

\((2^4)x=64-^1=(2^6)=2-^6\)

\(2^4x=2-^6\)

\(4x=-6\)

\(x = - \frac{6}{4} = - \frac{3}{2} \)

Step-by-step explanation:

\(Thanks!!!\)

Answer:

1 hour and 40 minutes

Step-by-Step

4:10 to 5:10 is 1 hour. 5:10 to 5:50 is 40 minutes. Put it together and its 1 hour and 40 minutes.

Answer:

10mph

keeping it short so you can ace your quiz :D

if this helps you, it would help me a lot if you could mark this as brainliest :)

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

Learn more about equations, by the following link

brainly.com/question/2972832

#SPJ1

Answer:

The slope is -2 full equation is y = -2x -2

The value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.

Two things are equal, according to an equation.

It will be written with the equals sign "=" as in x+2=6.

What is on the left (x + 2) is equal to what is on the right ((6)), according to that equation.

A remark like "this equals that" can be compared to an equation.

So, we have the equations:

6x + 4y = 7

Kx + 8y = 7

Now, we know that both equations are equal to 7. so, we can write it as:

6x + 4y = Kx + 8y

Solve with subject K as follows:

6x + 4y = Kx + 8y

Kx - 6x  = 4y - 8y

(K-6)x = -4y

k-6 = -4y/x

k = (-4y/x) + 6

Therefore, the value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

Answer:

(f + g)(3) = 9

Step-by-step explanation:

f(x) = x² + 1

g(x) = x - 4

Thus:

(f + g)(x) = (x² + 1) + (x - 4)

(f + g)(x) = x² + 1 + x - 4

(f + g)(x) = x² + x - 3

Therefore, to find (f + g)(3), plug in the value of 3 into the equation:

(f + g)(3) = (3)² + 3 - 3

(f + g)(3) = 9 + 3 - 3

(f + g)(3) = 9

Answer:

12+8x

Step-by-step explanation:

By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.

Answer: C

Step-by-step explanation:

Y=2x-4

8=2(6)-4

8=12-4

8=8 Correct

Answer: 105m

Step-by-step explanation:

Hope this helps! :)

Answer:

Step-by-step explanation:

\(x+4=\sqrt{8-x} \\squaring\\x^{2} +8x+16=8-x\\x^{2} +8x+x+16-8=0\\x^{2} +9x+8=0\\x^{2} +x+8x+x=0\\x(x+1)+8(x+1)=0\\(x+1)(x+8)=0\\either \\x+1=0,\\x=-1\\or\\x+8=0\\x=-8\\x=-8 ~is~ an~ extraneous~ solution \\as~-8+4=\sqrt{8+8} \\-4=\sqrt{16} \\-4=4\\\)

it does not satisfy the given equation.

Hence rejected.

so solution is x=-1

The required steps to show that circle A is similar to circle B are,
1. Dilate circle A by a scale factor of 0.5.
2. Translate circle A using the rule (x − 5, y − 5).

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
Circle A = Center of −2, −2 and a radius of 4,
Circle B = Center of 3, 3, and a radius of 2.

Steps to show circle A is similar to circle B
1. Dilate circle A by a scale factor of 0.5

2. Translate circle A using the rule (x − 5, y − 5)

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

$2,139 was the total amount the school raised.

Step-by-step explanation:

35% of 600= 210

210+600 = $810

10% of 810= 81

810-81= $729

6th Graders= $600

7th Graders= $810

8th Graders= $729

Answer:

3.6% of the ball bearings will have diameters of 20.27 mm or more.

Step-by-step explanation:

We can calculate this proportion using the z-score.

We have a normal distribution with mean 20.00 mm and standard deviation of 0.150 mm.

The value for X is 20.27 mm.

Then, the z-score and its associated probability are:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{20.27-20}{0.15}=\dfrac{0.27}{0.15}=1.8\\\\\\P(X>20.27)=P(z>1.8)=0.036=3.6\%\)

Answer:

No solutions.

Step-by-step explanation:

Steps:

I will solve your system by substitution.

y=1/4x−10;y=1/4x+1

Step: Solve y=1/4x−10 for y:

Step: Substitute 1/4x−10 for y in y=1/4x+1:

y=1/4x+1

1/4x−10=1/4x+1

1/4x−10+−1/4x=1/4x+1+−1/4x(Add (-1)/4x to both sides)

−10=1

−10+10=1+10(Add 10 to both sides)

0=11

The given system of equation of No solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the equations:

y= 1/4 x - 10

y = 1/4x + 1

Now, Solve y=1/4x−10 for y by Substituting 1/4x−10 for y in y=1/4x+1 we get

y=1/4x+1

1/4x−10=1/4x+1

1/4x−10+−1/4x=1/4x+1+−1/4x

−10=1

0=11

thus, the equation have No solution.

Learn more about Equation here:

https://brainly.com/question/29657988

#SPJ2

Answer:

$7.50

Step-by-step explanation:

set up an equation: $ x days = total owed

1.50 x 5 = 7.50

The simplified or evaluated form of the following expression are;

1) 9/4 or 2.25      2) 1/16   3) 1/16   4) 2  

5) 1/64x⁹y¹⁵  6) 256x⁶/y⁷  7) y⁶/4x⁴  8) x⁹y²

To evaluate the expression, we do

1. (2/3)⁻² = (3/2)² = 9/4 = 2.25

2. 5⁰× 4⁻² = 1×(1/16) = 1/16

3. 4³ × 4⁻⁵ = 4⁽³⁻⁵⁾ = 4⁻² = 1/(4²) = 1/16.

4.  (2⁴×4³)⁻¹ / 2⁻³ 4⁻⁴

(16(4³))⁻¹/2⁻³ 4⁻⁴

((16)(64)⁻¹/(1/8)(4⁻⁴) = 1024⁻¹/(1/8)(1/256)

= 1/1024 ÷ 1/2048 = 2

To simplify the following expressions would be

5. (4x³y⁵) ⁻³ = 1/(4³x³ˣ³y⁵ˣ³) =  1/64x⁹y¹⁵

6. (x⁴y⁻³)(x³y⁻²)² = 256x⁶/y⁷

= x⁴y⁻³ × x⁶y⁻⁴

= x¹⁰y⁻⁷

= 256x⁶/y⁷

7 (2x²/y³)⁻²

= (1/(2x²/y³))²

= (y³/2x²)²

= y⁶/4x⁴

8. x⁷y⁻⁴/x⁻²y⁻⁶

x⁷/x⁻² * y⁻⁴/y⁻⁶

= x⁷⁺² * y⁻⁴⁻⁶

= x⁹y²

Find more exercises on simplifying expressions;

https://brainly.com/question/22860327

#SPJ1

Answer:

-80+28y-56 (B)

4(-20x+7y-14) (D)

Step-by-step explanation:

When using distributive property 8 times -10x equals -80x.

8 times 3.5y equals 28.0y or 28y

Next 8 times -7 is -56 (since a positive times a negative equals negative)

To solve D:

4 times -20x is -80x

4 times 7y = 28y

4 times -14 equals 56

Hope this helped :)

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

-50

Step-by-step explanation:

10-10(5)

Or regular

10-10 = 0

-10 = -10

4 times

-10(4) = 40

-->

-10 - 40 = -50

-50

Answer:

-50

Step-by-step explanation:

Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

Learn more about decimal on;

https://brainly.com/question/1827193

#SPJ1

The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ9

The value of the addition function is found as g(9) + h(-14) = 565/27.

For the given question,

The functions are given as;

g(x)=14-2/3x and h(x)= -x-7

Find the value of the function for the given domain of g(9) and h(-14).

g(9); Put x = 9 in g function.

g(9) = 14-2/3×9

g(9) = 376/27

h(-14); Put x = -14  in function h.

h(-14) =  -x-7

h(-14) =  -(-14)-7

h(-14) =  7

Now, add both values;

g(9) + h(-14) = 376/27 + 7

g(9) + h(-14) = 565/27

Thus, the value of the addition function is found as g(9) + h(-14) = 565/27.

To know more about the domain of the function, here

https://brainly.com/question/1369616

#SPJ1

The units digit of the double factorial notation is the units digit of the product of all the even integers from 2 to 8, which is 8! The units digit of 8! is 8, so the answer is 8.

Factorials are mathematical operations symbolized by an exclamation point following a number. To find the factorial of a number, such as 5, write it down as 5! then multiply it by all the positive integers less than 5, including 1. Therefore, 5! is equivalent to 5 x 4 x 3 x 2 x 1, or 120. Factorials are frequently employed in mathematical equations and computations, especially in probability and statistics, where they are used to calculate the number of combinations or permutations that may be made from a given collection of numbers or variables. For example, if you had 5 distinct objects and want to determine how many various combinations , you used the factorial of 5.

To learn more about factorials, visit:

https://brainly.com/question/1216161

#SPJ4