Can someone help me with this? I literally cant think today. ;-; Thanks if you answer it correctly. ಥ‿ಥ

Answer:

In week 1, 69.15% of sales were 10-inch pizzas, and the remaining 30.85% were 12-inch pizzas; while in week 2, 71.09% of sales were 10-inch pizzas, and the remaining 28.91% were 12-inch pizzas.

Step-by-step explanation:

Given that a takeaway sells 10 inch pizzas and 12 inch pizzas, to determine what proportion sold were 10 inch pizzas in week 1 and what proportion sold were 10 inch in week 2, the following calculation must be performed:

Week 1 = 736 total sales

10-inch pizzas = 509

736 = 100

509 = X

509 x 100/736 = X

50,900 / 736 = X

69.15 = X

100 - 69.15 = 30.85

Thus, in week 1, 69.15% of sales were 10-inch pizzas, while the remaining 30.85% were 12-inch pizzas.

Week 2 = 1076 total sales

10-inch pizzas = 765

1076 = 100

765 = x

765 x 100/1076 = X

76500/1076 = X

71.09 = X

100 - 71.09 = 28.91

Thus, in week 2, 71.09% of sales were 10-inch pizzas, while the remaining 28.91% were 12-inch pizzas.

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

Reason:

The 4x and -7x are like terms because they involve the same variable x. This allows us to combine the like terms to end up with -3x

4x-7x = -3x

-------

Another example of like terms is 2x and 5x.

Adding them gets us 2x+5x = 7x

We can think of it like saying "2 boxes + 5 boxes = 7 boxes". Replace each word "boxes" with the single letter "x" and we arrive at 2x+5x = 7x.

Answer:

Step-by-step explanation:

Its 1/3 just put that it will be right I promise

Answer:

Step-by-step explanation:

Perimeter of the square is 24(4)=96.

Perimeter of the rectangle is 2(10+length)=96

10+length=48

length=38 m

Area of the square is 24^2 = 576.

Area of the rectangle is 10 * 38 = 380

So the square has an area 196 m^2 greater.

Answer:

B. y = \(\frac{2}{15} X + 2\)

Step-by-step explanation:

I. Given x = 15 and y = 4

         4 = \(\frac{2}{15}(15) + 2\)

         4 = 2+2

         4 = 4 true

II. Give x = 0 and y = 2

         2 = \(\frac{2}{15}(0) + 2\)

         2 = 0 + 2

         2 = 2 true

III. Given x = -15 and y = 0

         0 = \(\frac{2}{15}(-15) + 2\)

         0 = -2 + 2

        0 = 0 true

Good luck.

Answer:

n=\frac{x-1130}{452}

Step-by-step explanation:

Answer:

452n + 1130 [I think ] because you distribute the 226 by the inside

The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,

m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

Two lines AC and DF are parallel to each other  in the attached figure

Transversal HJ cut  lines AC and DF at point B and E respectively.

Measure of ∠ABE = 63°.

Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,

Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)

⇒Measure of ∠DEH = 63°

Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)

⇒Measure of ∠BEF = 63°

Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)

⇒Measure of ∠CBJ = 63°

Using the result of linear pair angles,

Measure of ∠ABE + Measure of ∠CBE = 180°

⇒ Measure of ∠CBE = 180° -63°

⇒  Measure of ∠CBE = 117°

Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)

⇒Measure of ∠FEH = 117°

Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)

⇒Measure of ∠BED = 117°

Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)

⇒Measure of ∠ABJ = 117°

Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.

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The above question is incomplete, the complete question is:

Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.

In the attached figure.

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.

To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.

Let;

The rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.

To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.

h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|

Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.

D = depth of bowl

Using this relationship from the question given;

D = (1/3) * h

In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.

dD/dt = (1/3) * dh/dt

Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:

dD/dt = (1/3) * (7π)

Simplifying, we have:

dD/dt = (7/3)π cm³/s

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Volume of the 3d composite figure is,

(7×6×5)+(7×6×5)/3

= 210+70

= 280 cm³

Relationship between the two volumes,

Volume of the rectangular prism is 3 times the volume of the pyramid.

Answered by GAUTHMATH

Answer:

I was gonna anwer it but somone already did.

Step-by-step explanation:

Answer: 478,412

Step-by-step explanation:

In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.

Step-by-step explanation:

The equation for this function is y=2x

So 32*2=64

36/2=18

2*x=2x

y/2=y/2

2x*2=4x

(x+3)*2=2x+6

Answer:

1/2x and 3/4x  ----> 5x/4

-2y  and -y-----> -3x

2z and -3z -----> -z

expression =  5x/4 -3y -z

Step-by-step explanation:

Like terms are those which have same variable and and the power of those variable is also same.

Note: The coefficient of variable can be different but the variable and power should be same

example

3x^2 and 18x^2 are like terms

____________________________________________

expression 1∕2x – 2y + 2z –3z + 3∕4x – y

identify variable

x, y z

so like terms are those which have same variable and power

1/2x and 3/4x

-2y  and -y

2z and -3z

We have to combine them

1/2x + 3/4x = x(1/2 +3/4) = ((2*1+3)/4) *x= 5x/4

-2y  + -y = -y(2+1) = -3y

2z + -3z = z(2-3) = -z

Thus, whole expression after combining the term is

5x/4 -3y -z

The HR manager is using a stratified random sample, which is a technique of dividing the population into multiple strata (groups) and then randomly selecting from each stratum.

The HR manager is using a stratified random sample, which is a technique of dividing the population into multiple strata (groups) and then randomly selecting from each stratum. In this case, the population is divided into two strata, new employees (30%) and experienced employees (70%). The HR manager then randomly selects 17 new employees and 41 experienced employees. This technique ensures that each stratum is represented in the sample, making it more representative of the population. Furthermore, it increases the precision of the sample by focusing on the subgroups that may have different characteristics and opinions on the matter, rather than relying on a simple random sample. The advantage of this sampling design is that it allows the HR manager to make more accurate estimates of the population's opinion on the change in promotion policies.

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Answer:

Step-by-step explanation:

an normal rectangle will have abot 4 lines of symmetry but since i can not see you rectangle i cant tell for sure

The proof that shows that ΔLMN ≅ ΔQPN by either SSS or SAS is explained below.

If we can show that two triangles have two pairs of congruent sides and a pair of corresponding congruent included angles, then we can state they are congruent triangles based on the SAS theorem.

On the other hand, if all three corresponding side lengths are congruent to each other, then the triangles are congruent by the SSS theorem.

The proof that can be used to show that the two triangles are congruent by SAS is shown below:

Statement                                 Reasons                                  

1. ∠L ≅ ∠Q, LM ≅ QP,              1. Given

MN ≅PN, NL ≅ NQ

2. ΔLMN ≅ ΔQPN                    2. SSS

Based on the given information we are given, another way of writing this proof can be:

Statement                                 Reasons                                  

1. ∠L ≅ ∠Q, LM ≅ QP,              1. Given

MN ≅PN, NL ≅ NQ

2. ΔLMN ≅ ΔQPN                    2. SAS

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The answer is:

11

Hopefully this is right

Answer:

11

Step-by-step explanation:

\(4^{2}\)-3*4+7 = 16 -12+7 = 4+7 = 11

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer:

1024

Step-by-step explanation:

n(10) =2^10

n(10) = 1024

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

To represent the given problem as a system of equations, we can use the following information:

John is 70 years younger than Sharon: j = s - 70

Sharon is 4 times as old as John: s = 4j

Let's plot the graph for this system of equations:

First, let's solve equation (2) for s:

s = 4j

Now substitute this value of s in equation (1):

j = s - 70

j = 4j - 70

3j = 70

j = 70/3

Substitute the value of j back into equation (2) to find s:

s = 4j

s = 4(70/3)

s = 280/3

The solution to the system of equations is j = 70/3 and s = 280/3

In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.

Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.

And the correct graph is D.

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Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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Factoring the equation f(x) = 4x^2 - 3x - 10 gives f(x) = (4x - 5)(x + 2)

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

f(x) = 4x^2 - 3x - 10

Expand the equation

So, we have the following representation

f(x) = 4x^2 + 8x - 5x - 10

Factorize the equation

So, we have the following representation

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

Factor out x + 2 from the equation

So, we have the following representation

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

Hence, the factored exrpression is f(x) = (4x - 5)(x + 2)

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Answer:

360 cm^3

Step-by-step explanation:

The solid is a triangular prism.

It has a triangular base and a height of 0.6 m.

The base is a right triangle with perpendicular sides measuring 3 cm and 4 cm. Those sides are the base and height used to find the area of the base of the prism.

volume = area of base * height

We need all units to be the same, so convert the height from meters to centimeters.

0.6 m * (100 cm)/(1 m) = 60 cm

volume = bh/2 * H

volume = (3 cm)(4 cm)/2 * 60 cm

volume = 360 cm^3