3/4(8p+12)+3/8(16p-8)

Answer:

Maura runs faster

Step-by-step explanation:

To avoid decimals ,multiply all by 100

Maura 500 mi/125h = 4 mi/h

Ava 300 mi /83 h =3.61445.....mi/h

Answer:

still from 2019

wsp my dude

Step-by-step explanation:

Answer:

12x + 18y

Step-by-step explanation:

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6(2x +3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6(2x +3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y

Answer:

y = 7

Step-by-step explanation:

The straight line which is perpendicular to the y-axis will be either x-axis or parallel to the x-axis.

Now, the general equation for all straight line which is either x-axis or parallel to x-axis are given by y = c ........... (1), where c is any constant.

For c = 0 the line will be x -axis. therefore, y = 0, is the equation of x-axis.

Now, if the line (1) passes through the point (-2, 7), then the equation will be y = 7. (Answer)  

{Since, the point (-2,7) will satisfy the equation (1) and then c will be equal to 7.}

Answer:

Step-by-step explanation: If you add 19 and 17 together you get 36.

Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

Another way of stating the question:  Does the Pythagorean Theorem apply here?  Does 6^2 + 8^2 = 10^2?

           Does 36   + 64   = 100?   YES

Yes, this is a right triangle.

Answer: Yes. That is because it fits the requirements of the Pythagoream Therom:

6^2+8^2    10^2

36+64        100

100      =    100  :)

Answer:

[tex]630.36\ ft^2[/tex]

Step-by-step explanation:

we know that

To find out the area of the sidewalk, multiply the length by the width of the sidewalk

The width of the sidewalk is equal to

[tex]113.4\ ft-110\ ft=3.4\ ft[/tex]

or

[tex]75.4\ ft-72\ ft=3.4\ ft[/tex]

The area is equal to

[tex]113.4(3.4)+72(3.4)\\385.56+244.8\\630.36\ ft^2[/tex]

Answer:

y = -2x + 3

Step-by-step explanation:

Slope-intercept equation of a line is:

y = mx + b

where m is the slope and b is the y intercept.

Here, m = -2 and b = 3.

y = -2x + 3

Answer:

so if all of the awnsers are whole numbers it is going to be 12/12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Unit rate is a rate that has 1 as denominator.

Given the rate: 6 inches / 12 hours, we have to divide numerator and denominator by 12 to transform the denominator in 1, as follows:

[tex]\frac{6}{12} = \frac{6/12}{12/12} =[/tex] 0.5 inches/hour

Answer:

14 +(9×x) = y x being the number of pizzas that are not the first one and y is the amount it all cost

Answer:

See explanation below:

Step-by-step explanation:

Here we want to express the number of pizza delivered. Lets try to understand the case.

If we buy one pizza (p1) the cost is 14 because of the delivery plus 9 for the cost of the pizza. So:

p1 = 14 + 9 = 23

If we buy 2 pizzas (p2) we have to pay 14 for the delivery and 9 for each pizza:

p2 = 14 + 9 + 9 = 14 + 2*9 = 32

If 3 pizzas are bought (p3) the reasoning is the same, 14 for the delivery and 9 for each pizza:

p3 = 14 + 9 + 9 + 9 = 14 + 3*9 = 41

Here we can see a pattern: for any amount of pizzas n the cost will be 14 plus n-times 9, the price of a pizza. It is:

pn = 14 + 9*n

But we can separate the last equation in such a way:

pn = 14 + 9*(n-1) + 9 , as 9*(n-1) + 9 = 9*n

But if our general formula it true, the first to terms on the right are the vost of buying n-1 pizzas, so:

pn = pn-1 + 9

We can keep on separating terms as we did to arrive to this form, this is, separating the 9n in  9*(n-2) + 9*2,  9*(n-3) + 9*3, ...,  9*(n-m) + 9*m for any m < n . Here I will keep pn = pn-1 + 9 as the Recursive Formula, but you could use other formulation with, e.g., pn-2, pn-3, etc, using the above recursion.

Now, the explicit formula is such that gives as the value of any amount, finding all the terms of the sequence with those not depending on previous terms (contrary to the recursive). This formula was showed above and is: pn = 14 + 9*n. This is, given any number of pizzas we can find the cost without knowing the cost of previous values.

So, we have:

Recursive: pn = pn-1 + 9

Explicit: pn = 14 + 9*n

Answer:

The answer is yes :)

Step-by-step explanation:

Answer:

[tex]6.5 \times 10^{-9}[/tex]

Step-by-step explanation:

The scientific notation of a number is to express the number in the form [tex]x\times 10^{y}[/tex] where x is the base of ten.

So, if we want to express the number 0.0000000065, then we can write it as

[tex]\frac{6.5}{1000000000} = 6.5 \times 10^{-9}[/tex].

So, we can write 0.0000000065 as [tex]65\times 10^{-10}[/tex] or [tex]0.65 \times 10^{-8}[/tex] but those are not the scientific notation.  

Therefore, [tex]6.5 \times 10^{-9}[/tex] is the scientific notation of 0.0000000065. (Answer)

Answer:

0.5

Step-by-step explanation:

-5 2/5=-27/5

9 8/11=107/11

-3 5/6=-23/6

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

-27/5+107/11-23/6

-27/5-23/6+107/11

-162/30-115/30+107/11

-277/30+107/11

-3047/330+3210/330=163/330=0.493=0.5

Answer:

$96,000

Step-by-step explanation:

To find Jen's annual salary, divide Bill's annual salary of $64,000 by 2/3, resulting in Jen's salary being $96,000.

To calculate Jen's annual salary based on the information that Bill's annual salary is 2/3 of Jen's, first express Bill's salary as a fraction of Jen's:

Therefore, Jen's annual salary is $96,000.

y = 2x

Step-by-step explanation:

The linear functions are given by:

y = mx+b

To find the slope, we have to find the change in x and y

The change in x is:

[tex]-14-(42) =-14+42 =28\\14+14= 28[/tex]

The change in y is:

[tex]-28-(-84) = -28+84 = 56\\28-(-28) = 28+28 = 56[/tex]

The slope is:

[tex]Slope = \frac{change\ in\ y}{Change\ in\ x}\\=\frac{56}{28}\\= 2[/tex]

Putting slope in equation of linear function

[tex]y =2x+b[/tex]

To find the value of b, we will put any pair of input and output in the slope-intercept form

So, putting (14,28)

[tex]28 = 2(14) + b\\28 = 28+b\\b = 28-28\\b = 0[/tex]

Hence,

the linear equation for function is:

y = 2x

Keywords: Linear function, slope intercept form

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Answer:

4.213

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

16.24/14=1.16

33.3/30=1.11

1.16-1.11=0.05

The correct statement is The unit rate per pound of a 14 pound bag is $0.05 more than the unit rate of a 30 pound bag.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

14 pound bag cost = 16.24

cost of 1 pound bag = 16.24/14

                                  = $1.16

and,

another bag which is of  30 pound costs = 33.30

                                                                    = 33.30 / 30

                                                                    = $1.11

Hence, The unit rate per pound of a 14 pound bag is $0.05 more than the unit rate of a 30 pound bag.

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Answer:

The Value of x= 7.

m∠A= 21°

m∠B= 80°

m∠C= 79°

Step-by-step explanation:

Given:

m∠A = 2x+7

m∠B = 10x+10

m∠C = 8x+23

We need to find the value of x and measures of each angle.

Now by angle sum property which states that sum of all angles of a triangle are 180°.

Hence from above statement we can say in ΔABC;

m∠A+m∠B+m∠C=180

Now substituting the given values in above equation we get;

[tex]2x+7+10x+10+8x+23=180\\2x+10x+8x+7+10+23=180\\20x+40=180\\20x=180-40\\20x=140\\\\x=\frac{140}{20} =7[/tex]

Hence value of x is 7.

Substituting the value of x in all angles we get;

m∠A=[tex]2x+7=2\times7+7=14+7=21\°[/tex]

m∠B=[tex]10x+10=10\times7+10=70+10=80\°[/tex]

m∠C=[tex]8x+23= 8\times7 +23 = 56+23=79\°[/tex]

Final answer:

To find the value of x and the measure of each angle in triangle ABC, set up an equation using the given angle measures. Solve for x and substitute it back in to find the measures of each angle. Then : m<A = 2(7) + 7 = 21 degrees

m<B = 10(7) + 10 = 80 degrees

m<C = 8(7) + 23 = 79 degrees

Explanation:

To find the value of x and the measure of each angle in triangle ABC, we need to set up an equation using the given angle measures. Since the sum of the angles in a triangle is 180 degrees, we can write the equation as:

m<A + m<B + m<C = 180

Substituting the given angle measures, we have:

(2x + 7) + (10x + 10) + (8x + 23) = 180

Simplifying the equation:

20x + 40 = 180

Subtracting 40 from both sides:

20x = 140

Dividing both sides by 20:

x = 7

Now that we know the value of x, we can find the measure of each angle by substituting x into the respective expressions:

m<A = 2(7) + 7 = 21 degrees

m<B = 10(7) + 10 = 80 degrees

m<C = 8(7) + 23 = 79 degrees

The solution on the graph is the coordinate of the point where both lines intersect

Given the equation of two lines expessed as;

y = -3x + 3 and y = 12 x - 4

Since both expressions ara y values, equating both will give;

-3x + 3 = 12x - 4

-3x - 12x = -4 - 3

-15x = -7

x = 7/15

Substitute x = 7/15 into any of the equatons;

y = -3x + 3

y = -3(7/15) + 3

y = -7/5 + 3

y = 8/5

Hence the solution as an ordered pair is (7/15, 8/15)

The solution on the graph is the coordinate of the point where both lines intersect as shown in the graph below;

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Answer:

y = 2 over 3 x + 5

Step-by-step explanation:

m= y2-y1/x2-x1

m= (9-7)/(6-3)

m=2/3

y=mx+b

y= 2/3x+b

(3,7)

7=2/3(3)+b

7=6/3+b

7=2+b

5=b

b=5

y=2/3x+5

Answer:

30 Oranges!

Step-by-step explanation:

Given that for every 2 apples there are 3 oranges.

How many oranges would be there in a basket of 20 apples?

Since for every couple of apples we have 3 oranges we will calculate how many couples of apples are there in the basket.

Given there are 20 apples. This means that there are [tex]$ \frac{20}{2} $[/tex] = 10 pairs of apples.

Since for one pair we have three oranges, for 10 pairs we would have 3 X 10 = 30 oranges.

Therefore, we can conclude that the number of oranges in the bigger basket would be 30.

Answer:

HL

Step-by-step explanation:

HL is used for right triangles that are congruent. These two triangles are congruent(the same) and they happen to be right triangles, therefore, HL.

The postulate that proves the triangle are congruent is hypotenuse-leg (HL) congruency theorem.

Here, we have,

A triangle is a polygon that has three angles and three sides. The sum of angles in a triangle is 180 degrees.

Types of triangles are isosceles, scalene and equilateral triangles.

Two angles are said to be complementary if their sum is 90 degrees.

Two triangles are said to be congruent if all their corresponding sides and angles are congruent.

This means that the triangles have equal angles and equal sides.

here, we have,

HL is used for right triangles that are congruent.

These two triangles are congruent(the same) and they happen to be right triangles, therefore, HL.

The postulate that proves the triangle are congruent is hypotenuse-leg (HL) congruency theorem.

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Step-by-step explanation:

(3)(7)(13) = 273

(3)(3)(7)(13) = 819

(3)(7)(7)(13) = 1911

(3)(7)(13)(13) = 3549

(3)(3)(3)(7)(13) = 2457

(3)(7)(7)(7)(13) = 13377

(3)(7)(13)(13)(13) = 46137

....

Answer:

a = - 10

Step-by-step explanation:

Given

[tex]\frac{a}{5}[/tex] = - 2

a is divided by 2. The inverse operation to division is multiplication, thus

Multiply both sides by 5 to clear the fraction

a = 5 × - 2 = - 10

Answer:

The answer is option A. 117

Step-by-step explanation:

The general solution of the quadratic equation is:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

The given equation is x2 + 9x − 9 is expressed as minus 9 plus or minus the square root of r, all over 2

Comparing to the general solution

∴ r = determinant = b² - 4 a c  

From the given equation: a = 1 , b = 9 and c = -9

∴ r = 9² - 4 * 1 * (-9) = 81 + 36 = 117

The answer is option A. 117

Answer:

117

Step-by-step explanation:

To minimize production cost, we need to find the dimensions of the package that will satisfy the volume equation and minimize the cost equation. Taking the partial derivatives of the cost equation with respect to the variables 'r' and 'h', and setting them equal to zero, we can find the critical points. Solving these equations, we find that the dimensions for the package that will minimize production cost are a height of 7 cm and a radius of 2.5 cm.

To find the dimensions of the package that will minimize production cost, we need to consider the cost of the sides and bottom made of styrofoam and the cost of the top made of glued paper. Let's denote the radius of the base of the cylinder as 'r' and the height of the cylinder as 'h'.

The volume of a cylinder is given by the formula V = πr²h. We know that the volume of the package needs to be 350 cubic centimeters, so we can write the equation as πr²h = 350.

The cost of the sides and bottom of the container is given by the formula C1 = 0.03 * (2πrh + πr²), and the cost of the top is given by the formula C2 = 0.08 * πr².

To minimize the cost, we need to find the values of 'r' and 'h' that satisfy the volume equation and minimize the cost equation.

Since this is a calculus problem, we will differentiate the cost equation with respect to 'r' and 'h', and set the derivatives equal to zero to find the critical points.

Taking the partial derivatives of C1 and C2 with respect to 'r' and 'h', we get:

Solving these equations, we find that h = 7 cm and r = 2.5 cm. Therefore, the dimensions for the package that will minimize production cost are a height of 7 cm and a radius of 2.5 cm.

Answer:

8(3+4x)

Step-by-step explanation:

it it can be pulled out of both 24 and 32.

Answer:

f(x) = -|x| + 1

Step-by-step explanation:

f(x) = |xl when reflected over the x-axis is f(x) = -|x|.

When reflected over x-axis a graph becomes negative in y value.

f(x) = -|x| then translate 1 unit to the right is f(x) = -|x| + 1. Adding 1 translates the graph towards the right because the positive x-axis is on the right.

Answer:  x = -13

=========================

Work Shown:

19 = 38/2

19 & 1/2 = 19 + 1/2

19 & 1/2 = 38/2 + 1/2

19 & 1/2 = (38+1)/2

19 & 1/2 = 39/2

-------

In the original equation, replace the "19 & 1/2" with "39/2" to get

(5/2)x + (1/2)x = 39/2 + (9/2)x

Each term involves a fraction with a denominator of 2. If we multiply both sides by the common denominator, then the fractions will cancel out

For example: 2*(5/2)x = (10/2)x = 5x

So after multiplying both sides by 2, you should have this new equation

5x + 1x = 39 + 9x

--------

Let's solve that latest equation for x

5x + 1x = 39 + 9x

6x = 39 + 9x

6x-9x = 39 + 9x-9x ... subtract 9x from both sides

-3x = 39

-3x/(-3) = 39/(-3) .... divide both sides by -3

x = -13

Answer: 7.) Wrong Question

8.) 8

(9.) - 2

Step-by-step explanation:

7.) 10n - 11 = 3 + 4n + 6n

Collect like terms

10n - 4n - 6n = 3 + 11

10n - 10n = 14

It's not possible to have zero n = 14

8.) -8(k + 4) = - 96

Exland the bracket

-8k - 32 = - 96

Collect like terms

-8k = - 96 + 32

-8k = - 64

Divide through by -8

-8k/-8 = - 64/-8

k = 8

9.) -6(2k + 5) + 7k = -6 + 7k

Open the bracket

-12k - 30 +7k = -6 + 7k

Collect like terms

-12k + 7k - 7k = - 6 + 30

-12k = 24

Divide both sides by -12

-12k/-12 = 24/-12

k = -2