Consider the equation and the following ordered pairs: (4,y) and (x,2).

y=−2x+4
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Answer
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Complete the table below.

x y
row 14 Answer

row 2 Answer
2

The number of yes votes on whether to raise property taxes, using proportions, was of 3345, considering that 6183 total votes.

A proportion is a fraction of a total amount, and equations are built with these fractions and the rates in the context of a problem to find the desired measures in the problem using basic arithmetic operations such as multiplication and division.

One application of proportions is for ratio problems, as one ratio between two amounts a and b is given by the division of a by b, and over the total, these rates are:

The ratio of yes votes to no votes was 5 to 4, hence the fraction of yes votes is given as follows:

5/(5 + 4) = 5/9.

The total number of votes was of 6183, hence the number of yes votes is calculated as follows:

5/9 x 6183 = 3435 total yes votes.

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Answer:

15 more appetizers

Step-by-step explanation:

A restaurant has 60 menu items. Of these menu items, main dishes outnumber appetizers by a ratio of 4:1. How many more appetizers would the restaurant have to add to the menu to bring the ratio to 2:1?

at a ratio of 4e:1a and having 60e: there are (60/4=15) 15 appetizers

at a ratio of 2e:1a and having 60e: there are (60/2=30) 30 appetizers

Because they already have 15 appetizers, they will need:

30 appetizers - 15 appetizers  = 15 more appetizers

For the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.

As given in the question,

Types of bread baked in bakery = 2 types

Let x represent the number of loaves of white bread

And y represent the number of loaves of brown bread

Total number of loaves which can be stored in the store room is less than or equal to 900.

For the given situation representation of inequality is given by:

x + y ≤ 900

Therefore, for the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.

The complete question is :

Betty's bakery bakes white bread and brown bread. The loaves of bread are then stored in a store room that can house only 900 loaves. The loaves are baked during the day, and in the evening they are delivered to convenience stores. At all times, the number of loaves in the store room must be less than or equal to 900. Part A Assuming x to be the number of loaves of white bread and y to be the number of loaves of brown bread, how would the problem be represented in the form of an inequality?

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The answer will be the graph of the straight line.

What is the equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

Using the equation we can plot the graph in 2D.

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Answer:

64

Step-by-step explanation:

119+89+145=353-289=127+74+88
^
64

Using the simplification, the value of u is 13/15.

In the given question we have to find the value of u.

The given expression is -1/2u+3/5=1/6

Simplifying the given expression to find the value of u.

-1/2u+3/5=1/6

Subtract 3/5 on both side, we get

-1/2u=1/6-3/5

Now equal the denominator to simplify

-1/2u=1/6 *30-3/5 *30

-1/2 *30u=5-3*6

-15u=5-18

-15u= -13

Divide by -15 on both side, we get

u = 13/15

Hence, the value of u is 13/15.

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The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44  and -0.44.

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The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.

In all continuous probability distributions,  it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.

The area between the two boundaries is 0.67and the remaining area is 0.33  (= 1-0.56) , which is to the left of it.

Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.

Therefore, the two z values are 0.44 and -0.44.

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If  a vegetarian dish will be first. The number of different ways that are there to place the dishes on the table is 576.

There are 4 vegetarian dishes = P4 = 4!

There are 4 meat dishes =P4 =4!

Now let find the number of different  ways

Number of different  ways = 4! × 4!

Number of different  ways = 24 × 24

Number of different  ways = 576 different ways

Therefore the number of different ways  is 576.

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Joe has eaten 3.6 times more pizza than Jane has eaten.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Joe has eaten 3/5 of the pizza. Jane has eaten 1/6 of a pizza.

Divide the fraction number 3/5 by the fraction number 1/6. Then we have

⇒ (3/5) / (1/6)

Simplify the expression, then we have

⇒ (3/5) x 6

⇒ 3.6

Joe has eaten 3.6 times more pizza than Jane.

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Answer:

second option

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = (1, - 7 ) , then

y - (- 7) = - [tex]\frac{2}{3}[/tex] (x - 1) , that is

y + 7 = - [tex]\frac{2}{3}[/tex] (x - 1)

The measure of the angle 1, angle 2, angle 3 is 68°, 94°, 25° respectively.

What is angle?

An angle is created where two straight lines or rays meet at a single point. The point from where two lines converge is known as an angle's vertex. The name "angle" comes from the Latin word "angulus," which meaning "corner."

Let's firstly find angle 1,

We  know that, the sum of the all three angles of a triangle is 180°.

So,

18° + 94° + angle 1 = 180°

112° + angle 1 = 180°

angle 1 = 180° - 112°

angle 1 = 68°

Now, we know that, opposite angle are always equal

Therefore,

angle 2 = 94°

Now, again applying the property of triangle that sum of all three angles are equal:

Therefore,

angle 3 + angle 2 + 61° = 180°

angle 3 + 94° + 61° = 180°

angle 3 = 25°

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Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

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

30 years ago

Zoe was 2/3 as old as Luke

18 years ago

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

30 years ago

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

18 years ago

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

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Answer:

Step-by-step explanation:

Solution

Solve with the quadratic formula 

3k2+k−3=0    :    k=(−1+√376)/6 , k=(−1−√376 )/6   (Decimal:    k=0.84712…, k=−1.18046…)- Answer

Steps

3k2+k−3=0

Solve with the quadratic formula

For a quadratic equation of the form ax^2+bx+c=0,

the solutions are x1, 2=(−b±√b^2−4ac)/2a  where    a=3, b=1, c=−3 

Substituting we have

k1, 2= [(−1±√1^2−4· 3(−3)]/2· 3 

Apply rule 1^a=1 , therefore 1^2=1

=√1+4· 3· 3=√1+36

√1^2−4· 3(−3)=√37

Therefore,

k1, 2=(−1±√37)/2· 3 

k1, 2=(−1±√37)/6 

Separate the solutions

k1=(−1+√37)/6 

k2=(−1−√37)/6 

The solutions to the quadratic equation are:

k=(−1+√37)/6 , k=(−1−√37)/6 

k1=0.84712        k2=−1.18046

The money spent by Mr. Dunston is $ 35.

Given that:-

Money spent by Mr. Dunston and Mr. Dolland = $ 45

Money spent by Mr. Dunston and Ms. Campbell = $ 65

Ms. Campbell spent 3 times as much as Mr. Dolland.

We have to find the money spent by Mr. Dunston.

Let the money spent by Mr. Dunston be $ x,

Let the money spent by Mr. Dolland be $ y and,

Let the money spent by Ms. Campbell be $ 3y

Hence, from the data given in the question, we can write,

x + y = 45  ...(1)

x + 3y = 65 ... (2)

By elimination method, we can write,

(2) - (1)

2y = 20

y = 10

x + 10 = 45

x = 45 - 10 = 35

x = 35

Hence, the money spent by Mr. Dunston is $ 35.

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Any number between -7 and 7 can be located in the number line.

The number line is a horizontal line that has equally spread number increments.

Given a number line, suppose we plot -5 on it, which is between -7 and 7

Then, its position will be 5 units left of 0 on the number line.

Hence, -5 is the point between -7 and 7 on the number line, which is 5 units left on 0.

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The value of g after solving the expression, 5/2-2g = 5g/2-3+g, is 1.

According to the question,

We have the following expression:

5/2-2g = 5g/2-3+g

Now, moving the terms with the same variables on one side and the integers on another side.

Note that when we move any number of term from one side to another which is in addition or subtraction will result in change of the sign from minus to plus and plus to minus.

5/2+3 = 2g+5g/2+g

Taking 2 as the least common factor on the left hand side and right hand side:

(5+6)/2 = (4g+2g+5g)/2

11/2 = 11g/2

Now, 11/2 on the left hand side can be divided by 11/2 on the right hand side:

g = 1

Hence, the value of g is 1.

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At the 1% level of significance, the heat shield for the Komodo spacecraft have average temperature of 191.811° C < x-bar < 196.73° C which is less 200◦C

Type I error is explained below

1% level of significance means that the p value or the probability of the temperature of the new heat shield for Komodo spacecraft being less than 200° C is less than 1%

The range of average temperatures of the shield is given by the formula

= x-bar ± t(s/√n)

Definition of variables

mean, x-bar = 194.37° C

standard deviation, s = 4.29° C

sample size, n = 24

significance level = 1%

confidence level = 1 - significance level = 1 -  0.01 = 0.99 = 99%

z score, z

For sample size less than 30, n < 30. t scores are used

degree of freedom, df = n - 1 = 24 - 1 =23

t score for 99% confidence level and df of 23 = 2.808

substituting into the formula

= x-bar ± t(s/√n)

= 194.37 ± 2.808 (4.29/ √24)

= 194.27 ± 2.4589

= 191.811 ° C < x-bar < 196.73° C

Type I error in the context

Type I error is when the engineer's test shows that the interior of the Konodo spacecraft is below 200° C when the interior is actually above 200° C

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The investment will take 38.5 years to double in value.

What is simple interest?

The principal of a loan or the first deposit into a savings account serves as the basis for simple interest. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

P=$26,000  r=2.6%=0.026

A=2P=2(26,000)=$52,000

A=P+Prt

Substitute the known values

52,000=26,000+(26,000×0.026t)

52,000-26,000=676t

On simplifying, we get t= 38.46 years

Rounded number to the nearest tenth=38.5 years

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Answer:

3x-3:

(1/3)(9x-9)

(9/2x - 2) -(3/2x +1)

(3/2x-2) + (3/2x-1)

2x-1:

(7/2 x -2) - (3/2 x - 1)

1/2(4x-2)

Step-by-step explanation:

(7/2 x -2) - (3/2 x - 1)

7/2 x -2 -3/2 x +1 Distribute the negative sign to both terms

4/2 x -1 Combine like terms

2x-1

(1/3)(9x-9)

3x-3 Distributive property

(9/2x - 2) -(3/2x +1)

9/2x -2 -3/2x -1 Distribute negative sign

6/2x -3

3x-3

(3/2x-2) + (3/2x-1)

3/2x -2 +3/2x -1 Can just get rid of parenthesis since everything is added.

6/2x -3

3x-3

1/2(4x-2)

2x-1 Distribute the 1/2 to both numbers

The surface area of a cube with a side length of 10 cm is 600 [tex]cm^{2}[/tex].

Given:

The formula for finding the surface area of a cube is 6s2.

side length s = 10 cm.

Surface area of a cube =  6[tex]s^{2}[/tex] = 6*s*s

= 6 * 10 * 10

= 60 * 10

= 600 [tex]cm^{2}[/tex].

Therefore the surface area of a cube with a side length of 10 cm is 600 [tex]cm^{2}[/tex].

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The equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.

According to the question,

We have the following information:

Tara eats 3 of the 10 slices and pays $4.50 for her share.

Now, let's take the cost of one slice of the pizza to be $x.

So, we have the following expression:

3x = 4.50

Dividing by 3 on both sides of the equation:

x = 4.50/3

x = $1.50

Now, there are 10 slices in pizza.

Cost of pizza = 10x

Cost of pizza = 10*1.50

Cost of the pizza = $15

Hence, the equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.

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The required expression for the Sarah's travel is y = 5 + 3h.

Given that,
Which equation models the total distance, D, Sarah travels after hiking additional h hours is to be determined.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3miles per hour.
Let the total distance hike by Sarah be y,
According to the question,
y = 5 + 3h

Thus, The required expression for the Sarah's travel is y = 5 + 3h.

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Answer:i think the answer is 2/4 or 3/2

Step-by-step explanation:

Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.

Given,

The amount of calorie burns while jogging = 745 calories

The amount of calorie in Doughnut = 320 calories

The amount of calorie in latte = 820 calories

Here,

Total calorie intake by Ray = 320 + 820 = 1140

The calorie burnt while jogging = 745

Number of hours Ray needs to jog for burning 1140 calories;

1140/745 = 1.53 hours.

That is,

Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.

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The counterexample for "Two supplementary angles are not congruent." is

angle 100° and angle 80° are supplementary angels

angle 90° and angle 90° are supplementary angels

The instances show supplementary angles that are not congruent

A specific situation that demonstrates that a statement is untrue is referred to as a counterexample.

Counterexamples provides instances that opposes the statement

In this case the two supplementary angles 100-and-80 and 90-and-90 are not congruent and hence a counterexample to the statement

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The probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute is; 0.012676.

This z-score is used to tell us the number of standard errors that exists between the sample mean and the population mean.

The formula for z-score here is;

z = (x' - μ)/(σ/√n)

where;

x' is sample mean

μ is population mean

σ is standard deviation

n is sample size

We are given;

Sample mean; x' = 97

Population mean; μ = 91

Standard deviation; σ = 10

Sample size; n = 20

Thus;

z = (x' - μ)/(σ/√n)

z = (97 - 91)/(10/√20)

z = 2.236

From online p-value from z-score calculator, we have;

p = 0.012676

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Complete question is;

The reading speed of second grade students in a large city is approximately​ normal, with a mean of 91 words per minute​ (wpm) and a standard deviation of 10 wpm.

what is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute

Answer:

[tex]34.8w+5.2x[/tex] cm

Step-by-step explanation:

If the width of a rectangle measures [tex](9.6w+4.7x)[/tex] cm and its length measures [tex](7.8w-2.1x)[/tex] cm, then the perimeter of the rectangle is:

[tex]2(9.6w+4.7x)+2(7.8w-2.1x)[/tex]

[tex](19.2w+9.4x)+(15.6w-4.2x)[/tex]

[tex]19.2w+9.4x+15.6w-4.2x[/tex]

[tex]19.2w+15.6w+9.4x-4.2x[/tex]

[tex]34.8w+5.2x[/tex]

Answer:

2

Step-by-step explanation:

This is because yes. If you add 1 and 1 (use your fingers) and count the two, you simply get 2.