11. Ms. Still is ordering pizza and breadsticks for a school pizza party and has a budget of no more than
$91. An order of breadsticks, x, costs $7 and a pepperoni pizza, y, costs $13.
a. Write a linear inequality that describes the situation.
b. Graph the situation. Label the axes.
c. Is (5, 5, 4) a solution to the inequality? Does this oved pair make sense for this situation? Explain.

Domain: (−∞,∞),{x|x∈R} and Range: (−∞,∞),{y|y∈R} for f(x)=0.5x

A relation is a function if it has only One y-value for each x-value.

Given,

Helene is selling cupcakes for $0.50 each.

The function f(x)=0.5x gives the total amount of money Helene makes after selling x cup cakes.

We need to find the domain and range of the function

solve the equation f(x)=0.5x to determine the values of the independent variable x and obtain the domain.

To calculate the range of the function, we simply express x as x=g(y) and then find the domain of g(y).

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

Hence, Domain: (−∞,∞),{x|x∈R} and Range: (−∞,∞),{y|y∈R} for f(x)=0.5x

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Answer:

SAS or HL

Step-by-step explanation:

SAS, you have two sides and two angles  congruent on each triangle

HL, you have two hypotenuses and two right angles congruent

The transformation which transforms y = x² to the graph of y = (x + 5)² as required in the task content is; a translation of 5 units leftwards.

It follows from the task content that the transformation responsible for the mapping y = x² to the graph of y = (x + 5)² is to be determined.

Since the pre-image graph given in the task content is; y = x².

Recall that a translation of a graph f(x) by k units leftward is represented as; f (x + k).

On this note, the given transformation of y = x² to the graph of y = (x + 5)² as required in the task content can be attributed to;

A horizontal shift of 5 units leftward.

Put simply, the required transformation is; a translation of the graph of y = x² 5 units leftwards.

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Answer:

y = - [tex]\frac{2}{3}[/tex] x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

given

2x + 3y = 3 ( subtract 2x from both sides )

3y = - 2x + 3 ( divide through by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 1 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{2}{3}[/tex] x + b  ← is the partial equation

to find b substitute (3, - 4 ) into the partial equation

- 4 = - 2 + b ⇒ b = - 4 + 2 = - 2

y = - [tex]\frac{2}{3}[/tex] x - 2 ← equation of parallel line

The statements that are always true regarding the diagram of interior and exterior angles of a triangle include the following:

C. m∠5 + m∠6 =180°.

D. m∠2 + m∠3 = m∠6.

E. m∠2 + m∠3 + m∠5 = 180°.

The Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal:

m∠5 + m∠6 =180°.

The exterior angle property can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle:

m∠2 + m∠3 = m∠6.

In conclusion, the sum of all the angles formed by a triangle is equal to 180º:

m∠2 + m∠3 + m∠5 = 180°,

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The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates from the graph as,

(15, 80) and (45, 130)

15 and 45 are the seconds.

80 and 130 are the temperatures.

Now,

The rate of change in the temperature during the first 45 seconds.

= (130 - 80) / (45 - 15)

= 50/30

= 5/3

= 3.67 degrees Fahrenheit per second

Thus,

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

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Answer:17

Step-by-step explanation:when we add the 12+5 together and will be the answer

The length of arc LN of the circle is 7.40 units rounded to the nearest hundredth.

To calculate for the length of an arc of a circle, we use 2πr × (θ/360), where r is the radius and θ is the angle formed from the arc.

Thus we evaluate for the length of the arc as follows;

for π = 3.14, r = 4 and θ = 106°

2 × 3.14 × 4 × (106/360)°

25.12 × 0.2944

7.3953

Therefore, the length of the arc 7.3953 and rounded up to 7.40 to the nearest hundredth.

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Answer:

1/2

Step-by-step explanation:

shaded sections = 4

total sections = 8

4/8

(4:4)/(8:4)

1/2

Answer:

The answer is 4:4.

Step-by-step explanation:

The grouped frequency distribution for the data is given as follows:

The relative frequency of an outcome in the context of an experiment is given by the number of outcomes assuming this value divided by the number of total outcomes.

Hence the grouped frequency distribution for the data in this problem is obtained considering the relative frequency of each outcome.

For example, we have that:

Hence the frequency for the age 41-45 is given as follows:

4/44 = 0.0909.

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Since the three triangles are similar the length of LK will be 8 units.

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that,

XW=LK=BC

∠WXY = ∠MLK=∠ABC

WY=10

XY=6

AB=6

ΔWXY ≅ MLK

XW=LK

XW=8

LK= 8 units

Thus, if the three triangles are similar the length of LK will be 8 units.

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Answer:

Step-by-step explanation:

d is the answer

Proportionately, since a 3/4 inch cork stopper is too small for sealing the bottle, the Sailor should next try a 4/5 inch cork stopper, and not a 1/2 inch cork stopper.

Proportion refers to the ratio or relative value between two values.

Proportions are fractional values.

And like ratios, proportions can be expressed as fractions, decimals, or percentages.

To determine the relative sizes of these cork stoppers, we can express them in percentages or decimals and other fractions.

3/4 equals 75%, 7.5/10, 75/100, or 0.75.

1/2 equals 50%, 5/10, 50/100, or 0.50.

4/5 equals 80%, 8/10, or 80/100, or 0.80

Thus, with the proportionate sizes of these cork stoppers, the Sailor should try using the biggest plug, which ultimately has size 4/5.

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Answer:

2. A is false

   B is false

   C is false

   D is true

When two numbers added together result in 0, this is known as additive inverse. Using this notion, points on a number line are used to depict additive inverse.

The dotted points with the numbers 3 and -3 are the places on the number line.

To determine whether the points show an additive inverse:

Points 1 and 2 add up to 0.

3 + (-3) = (3 - 3) = 0

When two numbers added together result in 0, this is known as additive inverse.

Using this notion, points on a number line are used to depict additive inverse.

Thus, the points therefore display additive inverse.

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(-3, -7).

[tex](1)y= 2x-1\\ \\ (2)y= 3x+2[/tex]

[tex]3x+2-2= 2x-1-2\\ \\3x=2x-3[/tex]

[tex]3x-2x=2x-3-2x\\ \\x=-3[/tex]

To see of the answer is correct, both of the equation should give the same y value for the x value of -3.

[tex](1)y= 2(-3)-1\\ \\ y=-6-1\\ \\y=-7[/tex]

[tex](2)y= 3(-3)+2\\ \\y=-9+2\\ \\y=-7[/tex]

(x, y)

(-3, -7).

Answer:

When subtracting two numbers you add the (additive inverse) of the number being subtracted.

Step-by-step explanation:

That's one of the rules of subtracting integers.

One of the major differences between line segment, line and ray is the number of the endpoints, or no endpoint in either. Thus the definition of the terms are:

A given set of lines can be differentiated by the major differences among them which could either be in length or a line segment, line or ray. All these are parts of a line but have their individual differences as a means of identification.

Thus, the required definition of terms that would complete the pairs given in the question are:

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Answer:

Let the number be x. "Seven less than a number" means that we need to subtract 7 from unknown number and result would be 34. . Then, x−7=34Add 7 on both sides of the equationx−7+7=34+7x=41.

Step-by-step explanation:

The probability of the combined event that the next six days are all sunny is 1/4096

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

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

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Answer: -787

188 is positive, negative and negative equals positive

559 is negative

the answer needs to be negative as 559 is negative so you add 559 and 188 and get 787 and add a negative sign so it's more "negative" than 188. (hard to explain in writing)

-787--188=-559

-787+188=-559

-559=-559

The equation that will represent how many grams of the compound that will remain is  C = 430(1-0.28)^5

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.The following formula can be used to calculate exponential decay:

C=a(1-r)^twhena = 430 grams

r = 28% = 0.28t = 5 hours

By substituting the values into the formula

C = 430(1-0.28)^5C = 83.20grams

Thus, after 5 hours the radioactive compound with mass 430 grams becomes 83.20 grams and the equation will be  

C = 430(1-0.28)^5

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Answer:

2.4938705426067307E - 8

Step-by-step explanation:

The mean absolute deviation of the given values would be = 4.3125

The mean absolute deviation in statistics is defined as the average distance between each data point and the mean and this gives us an idea about the variability in the dataset.

To calculate the mean absolute deviation the following is carried out:

76, 70, 66, 80, 72, 67, 78, 69 = 578/ 8 = 72.25

76-72.25 = 3.75

70-72.25 = 2.25

66-72.25 = 6.25

80-72.25 = 7.75

72-72.25 = 0.25

67-72.25 = 5.25

78-72.25 = 5.75

69-72.25 = 3.25

3.75+2.25+6.25+7.75+0.25+5.25+5.75+3.25 = 34.5

= 34.5/8

= 4.3125

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The monthly payment would be an amount of $226.67.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Mary takes out a loan for $6,000 at a simple interest rate of 12% to be paid back in 36 monthly installments.

The total payback = P× r/100 × T + P

Here P = $6,000 , r = 12, and T = 3 years

The total payback = 6,000 × 12/100 × 3 + 6,000

The total payback = 6,000 × 0.12 × 3 + 6,000

The total payback = $8,160

The total payback of the borrowings will be $8,160 over a three-year period. The monthly payment for this will be,

The monthly payment = Total payback / No. of payment

The monthly payment = 8,160/36

The monthly payment = $226.67

Therefore, the monthly payment would be an amount of $226.67.

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Answer:

u = 7

Step-by-step explanation:

In point-slope form, the equation of the parallel line to y − 5 = 3/4(x − 2) is: y - 4 = 3/4(x + 1).

If two lines are parallel their equation, written in point-slope form y - b = m(x - a), will have the same value of m, which is the same slope.

The slope of the line with the equation y - 5 = 3/4(x - 2), is 3/4. This means that the line that passes through the point (−1, 4), and that is parallel to the line with the equation y − 5 = 3/4(x − 2), will have the same slope, m = 3/4.

To write the equation of the line that is parallel to y - 5 = 3/4(x - 2), in point-slope form, substitute m = 3/4 and (a, b) = (-1, 4) into y - b = m(x - a):

y - 4 = 3/4(x - (-1))

y - 4 = 3/4(x + 1)

The equation of the line that is parallel to y − 5 = 3/4(x − 2) is therefore expressed in point-slope form as: y - 4 = 3/4(x + 1).

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Answer:

Step-by-step explanation:

52 weeks in a year

Divide 52 by 2 = 26 weeks

26 weeks x 147 dollars = 3822 dollars

Thus the answer is 3822 dollars yearly

Answer:$3,528

Step-by-step explanation:

since there are 4 weeks in a month that would mean you would have to multiply 147 by two and that would = to $294.00/month so then you would have to multiply that by 12 so then that would = to $3,528.00 a year.