Letters w, x, y, and z are angle measures. Which should equal 92° to prove that r ∥ s? w x y z

Answer:

$48.72

Step-by-step explanation:

5.6 liters x $8.70 per liter= $48.72 total cost

Final answer:

To determine the total cost of the olive oil, multiply the quantity of 5.6 liters by the price per liter, which is $8.70. The total cost for the restaurant owner is $48.72.

Explanation:

The question asks us to calculate the total cost for a restaurant owner who buys 5.6 liters of olive oil at a price of $8.70 per liter. To find the total cost, we multiply the quantity of olive oil by the price per liter.

Calculation: Total cost = Quantity x Price per liter

Total cost = 5.6 liters x $8.70 per liter

Total cost = $48.72

Therefore, the restaurant owner will pay $48.72 for 5.6 liters of olive oil.

Final answer:

To find how many times more water the bucket can hold than the jar, divide the bucket's capacity by the jar's capacity.

Explanation:

The bucket holds b liters of water, and the jar holds 8 fewer liters than the bucket. To find out how many times more water the bucket can hold than the jar, we need to compare their capacities. \

The bucket's capacity is b liters, and the jar's capacity is b - 8 liters.

To find the ratio of the bucket's capacity to the jar's capacity, we divide the bucket's capacity by the jar's capacity:

This ratio represents how many times more water the bucket can hold than the jar.

Answer:

see the explanation

Step-by-step explanation:

step 1

Identify the equation of the given line

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]m=5\\b=-1[/tex]

substitute

[tex]y=5x-1[/tex]

step 2

Identify the coordinates of four points on the line

First point

The given y-intercept

point (0,-1)

Second point

The x-intercept

For y=0

[tex]0=5x-1[/tex]

[tex]x=\frac{1}{5}=0.20[/tex]

point (0.20,0)

Third point

For x=1

[tex]y=5(1)-1=4[/tex]

point (1,4)

Fourth point

For x=2

[tex]y=5(2)-1=9[/tex]

point (2,9)

Surface area of cone is [tex]18 \pi[/tex] square units

Solution:

Given that cone with a slant height of 7 and a radius of 2

To find: surface area of cone

The surface area of a cone is equal to the curved surface area plus the area of the base

The surface area of cone is given by formula:

[tex]S. A=\pi r^{2}+\pi r l[/tex]

Where "r" is the radius and "l" is the slant height of cone

Substituting r = 2 and l = 7 in above formula,

[tex]\begin{array}{l}{S A=\pi\left(r^{2}+r l\right)=\pi\left(2^{2}+2(7)\right)} \\\\ {S A=\pi(4+14)=18 \pi}\end{array}[/tex]

Thus surface area of cone is [tex]18 \pi[/tex] square units

Answer:

The total change in yardage of the team is by - 1 yards.

Step-by-step explanation:

Let us assume that the initial yardage of the team was x yards.

Now, the team gained 5 yards on their play of the game.

Hence, the team now has (x + 5) yards on their play of the game.

Next, the team lost 6 yards and finally, the team will have [(x + 5) - 6] = (x - 1) yards in total.

Therefore, the total change in yardage of the team is by - 1 yard. (Answer)

Answer:

The total change in yardage of the team is by - 1 yards.

Step-by-step explanation:

The total change in yardage of the team is by - 1 yards.

Answer:

D. $340.91

Step-by-step explanation:

Answer:

3.728 cm²

90

Step-by-step explanation:

To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.  

Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.

So, the length of the patches is [tex]28 \times \frac{1}{12} = 2.33[/tex] m and the width of the patches is [tex]12 \times \frac{2}{15} = 1.6[/tex] m.

Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)

Now, the area of the rectangular piece of material is (28 × 12) = 336 m²

Hence, [tex]\frac{336}{3.728} = 90.37[/tex] ≈ 90 such patches can be made out of the whole material. (Answer)

Answer:

3108

Step-by-step explanation:

number of 5-min segments in 1 hour

= 1 hour ÷ 5 min

= 60 min ÷ 5 min

= 12

number of 5-min segments in 7 hours

= 12 x 7

= 84

given that during each 5 min segment, jasmine decorates 37 cakes

i.e

1 (5-min) segment -----> decorates 37 cakes

84 (5-min) segments -----> decorates 37 x 84 = 3108 cakes

In this question, we're trying to find how many cakes Jasmine can decorate in 1 day.

We know that she can decorate 37 cakes everyone 5 minutes.

We also know she works 7 hours a day.

First, we need to find how much she makes it an hour.

To find this, multiply 37 by 12.

37 · 12 = 444

This means that she can decorate 444 cakes in an hour.

Now, multiply 444 by 7 to see how much she can decorate in a day.

444 · 7 = 3,108

This means that she can decorate 3,108 cakes in a day.

Answer:

3,108 cakes

Answer:

B. [tex]\frac{1}{x^2y^7}[/tex]

Step-by-step explanation:

Given:

[tex](x^3y^{-2}z)(x^{-5}y^{-5}z^{-1})[/tex]

Hence Solving the given expression we get;

By Law of Indices which states;

[tex](a^xb^yc^z)(a^pb^qc^r) = a^{x+p}b^{y+q}c^{z+r}[/tex]

Hence we get;

[tex]x^{3+(-5)}y^{(-2)+(-5)}z^{1+(-1)}\\\\x^{3-5}y^{-2-5}z^{1-1}\\\\x^{-2}y^{-7}[/tex]

Also We know that

[tex]a^{-6} =\frac{1}{a^6}[/tex]

So,

[tex]\frac{1}{x^2y^7}[/tex]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following equation of the line:

[tex]3x-2y = 8[/tex]

We manipulate algebraically:

[tex]-2y = -3x + 8\\y = \frac {3} {2} x-4[/tex]

Thus, a parallel line will have an equation of the form:

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

Answer:

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

Problem 1

The exterior angles sum to 360

9v+(19v-21)+45+(v+48)+7v = 360

36v+72 = 360

36v+72-72 = 360-72

36v = 288

36v/36 = 288/36

v = 8

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

Problem 2

Why is this? because TW is perpendicular to VS (the right angle marker shows this). At the same time, TW cuts VS into two equal pieces, ie VW = WS. The tickmarks indicate the segments are the same length.

Answer:

The 3rd one

Step-by-step explanation:

The steepest slope is basically the slope with the greatest absolute value. You can find slope by finding rise over run when given the graphs and finding change in y/change in x in the tables.

Function 1: -3

Function 2: (13-10)/(6-3) = 3/3 = 1

Function 3: 2

Function 4: (-4-(-12))/(2-4) = 8/-2 = -4

Function 4's slope has the greatest absolute value.

answer: the fourth one

Answer: 1

Step-by-step explanation:

It will be the smallest value for f(x).

The minimum of a sinusoidal function is the lowest point on the graph that is 1.

The minimum of a sinusoidal function is the lowest point on the graph. Looking at the image you provided, the minimum point is the lowest y-coordinate the curve reaches.

Since the graph is a sine wave, it oscillates between a maximum and a minimum value. For a standard sine function, which this graph appears to resemble, these extrema occur at points where the sine of the angle is either 1 or -1.

The minimum value of sine is -1, but the actual minimum value of the function on the graph will depend on any vertical shift and amplitude changes.

To find the exact minimum value from the graph, you'd look for the lowest point on the y-axis that the graph reaches. From the image, it's not perfectly clear, but it looks like the minimum value is around -2 on the y-axis.

This would be the case if the function has no vertical shift from the standard sine wave. If there's a vertical shift, the minimum would be the standard minimum value of sine (-1) plus the vertical shift.

Answer:

For 1 is 1

For 4 is 1,2,4

Step-by-step explanation:

A fact family for 1, 4, and 4 can be created using addition and subtraction. The addition equations are 1 + 4 = 5 and 4 + 1 = 5. The subtraction equations are 4 - 1 = 3 and 4 - 3 = 1.

In mathematics, a fact family is a set of three numbers that can be used to create four different addition and subtraction equations. In this case, the numbers given are 1, 4, and 4. To create the fact family, we can use the numbers and their corresponding operations.

The addition equations would be: 1 + 4 = 5 and 4 + 1 = 5.

The subtraction equations would be: 4 - 1 = 3 and 4 - 3 = 1.

Therefore, the fact family for 1, 4, and 4 is: 1, 4, and 5 (addition) and 4, 1, and 3 (subtraction).

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The true statement is : D. The boiling point decreases by 1.8 degrees as the altitude increases by 1000 feet. True statements are : A,D & E

Step-by-step explanation:

5.

The equation is given as : T(a)= -0.0018a +212 where T (a) is the boiling point of water measured in degrees at altitude a measured in feets.

From the equation , when the altitude is increased by 1000 feets, a=1000, the equation will be

T(1000) = -1.8 + 212, which means that the boiling point decreases by 1.8 degrees as the altitude increases by 1000 feet

6.

The values given can be taken as coordinates and plotted on a graph tool as shown in the attached figure.

Finding the slope of the graph'

m=Δy/Δx

Taking points (14,73) and (9,51.75) the slope of the linear graph will be;

Δy=73-51.75 = 21.25

Δx=14-9 =5

m= 21.25/5 = 4.25

The equation of the linear graph taking m=4.25 and point (14,73)

m=Δy/Δx

4.25 = y-73/x-14

4.25(x-14) = y-73

4.25x - 59.5 =y-73

4.25x - 59.5 + 73 =y

y=4.25x+13.5

From the graph,

The price in 2005 will be $77.25

The predicted average change in ticket price per year is $4.25

The y -intercept is the price of ticket in 1990

True statements are : A,D & E

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Answer: 2743.2

Step-by-step explanation:

A formula to try is to multiply the length value by 30.48

Answer:

$6900

Step-by-step explanation:

Given:

Length = 45 yards

Width = 5 yards

thickness = 1/3 yard

Volume,

= Length x Width x Thickness

= 45 x 5 x (1/3)

= 75 yards³

Costs:

1 cubic yard = $92

75 cubic yards = $92 x 75 = $6900

Answer:

14/15  

Step-by-step explanation:

find common denomerator 15

giving you -6/15 + 20/15

add

x + (4 + x) = 20

2x + 4 = 20

2x = 16

x = 8

Proof

x + (4 + x) = 20

8 + 4 + 8 = 20

12 + 8 = 20

20 = 20

The numbers are 8 and 12.

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Answer:

97

Step-by-step explanation:

9+7*9=72

9+18+10=37

10+10+7=27

7+9*10=97

Answer:

150 degrees

Step-by-step explanation:

Angles FED and CEG are congruent to one another because opposite angle theorem. That makes angle CEG equal to 130. Same applies for angles DEB and AEC, making angle AEC 20 degrees.

Your variable x is a combination of these two angles, AEC + CEG. 130 + 20 = 150

Therefore x = 150 degrees.

150 degrees is the measure of the value of x from the figure.

The given diagram is a line geometry with the following parameters;

<FED = 130 degrees

<DEB = 20 degrees

Determine the measure of x

x = <FED + <DEB

Substitute the given parameters

x = 130 + 20

x = 150 degrees

Hence the measure of the value of x from the figure is 150 degrees.

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Answer:

  7:00 pm

Step-by-step explanation:

You want to know Alexandra's arrival time if she started at the same time as Michael (8:00 am) and drove at 45 mph, while Michael drove at 55 mph and arrived at 5:00 pm.

Travel time is inversely proportional to speed, so the time it takes Alexandra to make the trip is 55/45 = 11/9 times what it take for Michael to make the trip.

Michael's travel time from 8 am to 5 pm is 9 hours, so Alexandra's travel time is ...

  (11/9)(9 h) = 11 h

She will arrive 2 hours after Michael does.

Alexandra arrives at 7:00 pm.

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

Line L is mapped onto the line T by a dilation centered at the origin and  a scale factor of 3.

That means lint T is the image of line L after dilation

∵ The equation of line L is 2x - y = 7

∵ Line L is dilated by scale factor 3 and centered at origin

- That means multiply the equation of line L by 3 to find the

   equation of line t

∵ Line T is the image of line L after dilation

∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)

∴ The equation of line T is 6x - 3y = 21

Very important note:

The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)

That means the equation of lines T and L is 2x - y = 7

The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)

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Answer:

For given polynomial [tex]P(a)=a^3+2a^2-3a+5=41[/tex] and when a=3 is

[tex]P(3)=41[/tex]

Step-by-step explanation:

Given polynomial is [tex]P(x)=x^3+2x^2-3x+5[/tex]

Remainder Theorem:

To evaluate the function f(x) for a given number "a" you can divide that function by x - a and your remainder will be equal to f(a). Note that the remainder theorem only works when a function is divided by a linear polynomial, which is of the form x + number or x - number.

By using synthetic division for given polynomial [tex]P(x)=x^3+2x^2-3x+5[/tex] and factor is (x-a)    (here x-3 is a factor given)

_3|    1      2       -3         5

        0     3       15       36

      ___________________

         1      5       12      | 41

Given polynomial can be written as

[tex]P(a)=a^3+2a^2-3a+5[/tex]

To find P(a):

[tex]P(a)=a^3+2a^2-3a+5[/tex]

put a=3

[tex]P(3)=3^3+2(3)^2-3(3)+5[/tex]

[tex]P(3)=27+18-9+5[/tex]

[tex]P(3)=41[/tex]

Therefore for given polynomial [tex]P(a)=a^3+2a^2-3a+5=41[/tex] when a=3 is  [tex]P(3)=41[/tex]

Answer:

-11

Step-by-step explanation:

Given

[tex]\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5[/tex]

Use properties:

[tex]\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA[/tex]

Thus,

[tex]\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11[/tex]

Answer:

(X-10y)(x+10y)

Step-by-step explanation:

Write in exponential form , calculate the product & factor !

Answer:

Step-by-step explanation:

x² - 100y² = x² -  (10y)²

                 =(x + 10y) (x - 10y)

Hint: a² - b² = (a + b) (a - b)

Answer:

About the square root of 24 cubic centimeters

Answer: Its actually not. (maybe a typo)? The real bigger one is 5/8

Step-by-step explanation: So your question is "how much more is 1/8 than 5/8?" . The answer is its not. Lets do a example to help clarify. This is the butterfly method. this is by far the simplest way to compare fractions. Lets say your problem is " which is more, 5/8 or 3/4." the first thing you need to do is  line them up like so:

  5       3

  _       _

  8       4

The second thing to do is multiply the opposites.

  5       3

  _       _

  8       4

You would be multiplying 8*3 and 5*4 so like across or whatever.

put the answers on the equation like so,

20         24 <- Which ever in the top is bigger that would be 24. Which is 3/4

 5       3   ______________________________/

 _       _                                                                  

 8       4

3/4 is bigger in this problem.

Hope I helped!

:)

Answer:

5 lb 11⅓ oz

Step-by-step explanation:

First, convert the weight at birth from pound and ounces to just ounces.

8 lb × 16 oz/lb + 9 oz = 137 oz

The baby doubles its weight in the first six months.  That means its weight increases by 137 oz over 6 months.  To find how much weight was gained in 4 months, write a proportion.

137 / 6 = x / 4

6x = 548

x = 91 ⅓

The baby gained 91 ⅓ oz in 4 months, or 5 lb 11⅓ oz.

Final answer:

To find how many text messages, x, Tim sent last month, use the equation: Total cost = fixed cost + variable cost. Given that Tim's phone bill was $30.58, the equation is $30.58 = $25.08 + $0.22x. Solving the equation gives x ≈ 25, so Tim sent approximately 25 text messages last month.

Explanation:

To find the number of text messages, x, Tim sent last month, we can use the equation:
Total cost = fixed cost + variable cost

Given that Tim's phone bill was $30.58, the fixed cost is $25.08. The variable cost is $0.22 per text message sent. Let's represent the number of text messages sent by x.

So, the equation becomes:
$30.58 = $25.08 + $0.22x

To solve for x, we need to isolate x. Subtract $25.08 from both sides of the equation:

$30.58 - $25.08 = $0.22x

Simplify:

$5.50 = $0.22x

Divide both sides of the equation by $0.22:

x = $5.50 / $0.22

x ≈ 25

Therefore, Tim sent approximately 25 text messages last month.

The solution is Option A.

The measure of the equation A = -2xy is A = 12

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.

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.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -2xy   be equation (1)

Now , when x = -1 and y = 6

Substituting the values of x and y in the equation , we get

A = -2 ( -1 ) ( 6 )

On simplifying the equation , we get

A = 2 ( 6 )

A = 12

Therefore , the value of A is 12

Hence , the equation is A = 12

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