Can anyone help me with this?

Reduce the fraction

Answer:

(2, 8)

Step-by-step explanation:

There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y.  If y=3x+2, then we can sub 3x+2 in for y in the other equation:

-3x + 2(3x + 2) = 10 and

-3x + 6x + 4 = 10 and

3x + 4 = 10 and

3x = 6 so

x = 2.  Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:

y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8.  The solution set is (2, 8)

Answer:

x = 5y + 6

Step-by-step explanation:

Add 5y to both sides

x - 5y + 5y = 5y + 6 (variable always goes first)

-5y + 5y = 0

x = 5y + 6

Answer:  

The correct option is C) x = 5y + 6.

Step-by-step explanation:

Consider the provided equation.

[tex]x - 5y = 6[/tex]

We need to solve the equation for x.

Add 5y to both sides of the equation.

[tex]x - 5y+5y = 6+5y[/tex]

Simplify the equation.

x=6+5y

Hence, the value of the equation for x is x=6+5y.

Therefore, the correct option is C) x = 5y + 6.

ANSWER

[tex]\tan(\pi + \theta)= \frac{5}{12} [/tex]

EXPLANATION

We first obtain

[tex] \cos( \theta) [/tex]

using the Pythagorean Identity.

[tex]\cos ^{2} ( \theta) + \sin ^{2} ( \theta) = 1[/tex]

[tex] \implies \: \cos ^{2} ( \theta) + ( - \frac{5}{13} )^{2} = 1[/tex]

[tex]\implies \: \cos ^{2} ( \theta) + \frac{25}{169}= 1[/tex]

[tex]\implies \: \cos ^{2} ( \theta) = 1 - \frac{25}{169}[/tex]

[tex]\implies \: \cos ^{2} ( \theta) = \frac{144}{169}[/tex]

[tex]\implies \: \cos ( \theta) = \pm \: \sqrt{\frac{144}{169} } [/tex]

[tex]\implies \: \cos ( \theta) = \pm \: \frac{12}{13} [/tex]

In the third quadrant, the cosine ratio is negative.

[tex]\implies \: \cos ( \theta) = - \: \frac{12}{13} [/tex]

The tangent function has a period of π and [tex]\pi + \theta[/tex] is in the third quadrant.

This implies that:

[tex] \tan(\pi + \theta)= \tan( \theta) [/tex]

[tex]\tan(\pi + \theta)= \frac{ \sin( \theta) }{ \cos( \theta) } [/tex]

[tex]\tan(\pi + \theta)= \frac{ - \frac{ 5}{13} }{ - \frac{12}{13} } [/tex]

This gives us:

[tex]\tan(\pi + \theta)= \frac{5}{12} [/tex]

Answer:

We only need one simple theorem for this.

Theorem 7 - The Exterior Angle Theorem: An exterior angle of a triangle is equal to the sum of the two remote interior angles.

So in this case, the measurement of the exterior angle is (45x)°, and the interior angles are (25x)° and (57 + x)°.

=> Therefore, we have:

25x + (57 + x) = 45x

25x + x - 45x  = - 57

-19x                 = -57

x                      = -57/(-19) = 3

So x = 3

Outside angle = addition of the two inner angles.

45x = 25x + 57 + x

45x = 26x + 57

45x - 26x = 57

19x = 57

x = 57/19

x = 3

Did you follow the logic?

Answer:

  A)  6.3 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²h . . . . . where r is the radius and h is the height

Only 1/(2+1) = 1/3 of the volume of your cone is strawberry ice cream, so the volume of ice cream (in terms of cone diameter) is ...

  V = (1/3)(1/3)π(d/2)²h

  V = π(d/3)²(h/4) . . . . rearranged slightly

For our diameter of 3 inches and height of 8 inches, this is ...

  V = π(3 in/3)²(8 in/4) = 2π in³ ≈ 6.3 in³

The volume of strawberry ice cream is about 6.3 in³.

Step-by-step explanation:

those little lines on each side show that each side is equal length. the line in the middle divided the rhombus in half to make two triangles, therefore making them equal.

Answer:

four base n minus 3 is equal to 21

Step-by-step explanation:

this is verbal

Answer:

For an 8-ounce salad would cost $1.52

Step-by-step explanation:

Every ounce would cost $0.19.

So you would multiply the cost with how much you would buy.

0.19(cost per ounce)×8(how much ounce)=1.52(total pay)

Answer: B. F(x) = 0.19x ; $1.52

Step-by-step explanation:

To find the cost of 8 ounce sale , substitute 8 for x .

F(x)= 0.19x

F(8)= 0.19(8)

F(8)=1.52

Answer:

  FALSE

Step-by-step explanation:

The slope can be calculated using any two points on the line in any order and the result will be the same.

Final answer:

To find the total combined premium, a 10% discount is applied to the $1,000 homeowner premium, totaling $100 in savings. The new homeowner premium is $900, which is then added to the $1,500 auto premium, resulting in a total combined premium of $2,400.

Explanation:

The student has asked a question about calculating combined insurance premiums when a discount is applied for bundling home and auto insurance. To determine the total combined premium, we'll first calculate the savings on the homeowner premium and then add the reduced home premium to the auto premium.

First, we find 10% of the homeowner premium:

10% of $1,000 = 0.10 * $1,000 = $100 savings.

Next, we subtract the savings from the original homeowner premium to determine the new premium for home insurance:

$1,000 - $100 = $900.

Now, we add the discounted home premium to the auto premium:

$900 + $1,500 = $2,400.

The total combined premium for home and auto insurance would be $2,400 after the 10% discount is applied to the home insurance.

Answer:

  120 miles

Step-by-step explanation:

We have to "interpret" the problem statement, because its literal meaning is that it takes Adam a negative amount of time to drive the distance when driving faster. 2.5 times 4 hours is 10 hours. 10 hours less than 4 hours is -6 hours, meaning that driving faster gets Adam to the park 6 hours before he started driving.

So, we assume the intent of the problem is that driving faster multiplies Adam's travel time by a factor of 1/2.5, 2/5 of what it was at the lower speed. Since travel time is inversely proportional to speed, Adam's speed is effectively multiplied by 2.5 by driving faster. We can use the relation ...

  speed = distance/time

to relate the speeds (in mph) and times (in hours) given in the problem. For some distance d, we have ...

  45 + d/4 = 2.5(d/4) . . . . . adding 45 mph to his speed multiplies it by 2.5

Multiplying by 4 gives ...

  180 + d = 2.5d

  180 = 1.5d . . . . . . . . subtract d

  180/1.5 = d = 120 . . . divide by 1.5

Adam covers a distance of 120 miles to get to the park.

Answer:

Yes.

Step-by-step explanation:

Look at a Rhombus.

Answer:

Yes, rhombus have opposite sides that are parallel.

Step-by-step explanation:

A rhombus is a four-sided shape where all sides have equal length, let's say s.

Consider the picture given, here are some facts:

* All sides have equal length

* Opposite sides are parallel, and opposite angles are equal

* A rhombus is sometimes called a rhomb or a diamond.

Tags: Rhombus, opposite sides, parallel, rhomb, diamond

After calculating the monthly costs for Emily's usage, Company A would cost $400 while Company B would cost $230. Therefore, Company B is the better choice for Emily as it offers a lower total bill.

To determine which cell phone company, A or B, offers a better monthly plan for Emily who uses 400 texts, 90 minutes of talk, and 2.1 gigs of data per month, we need to calculate the total monthly costs for both companies.

Company A:

Company B:

After calculating the costs, it is clear that Company B offers a lower total bill despite the higher monthly flat fee. Hence, Emily should choose Company B because the total bill will be lower.

In total, there are 16 marbles.

So the probability of first choosing a yellow marble is:

[tex]\frac{6}{16}[/tex]     (That's because in our bag if 16 marbles, 6 of them are yellow)

However, as stated in the question, we do not replace the marble.

That means we will now only have bag of 15 marbles in total (since we have already taken out the first marble)

So the probability of then choosing a blue marble is:

[tex]\frac{4}{15}[/tex] (that's because in our bag of 15 marbles, 4 of them are blue)

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

Finally to get the answer we multiply the two probabilities that we worked out. That's because in probability, and = multiply

So P(choosing a yellow marble) and P(choosing a blue marble)

= P(choosing a yellow marble)  times   P(choosing a blue marble)

So the final probability is:

[tex]\frac{6}{16}[/tex] × [tex]\frac{4}{15}[/tex] = [tex]\frac{24}{240}[/tex]

This simplifies down to [tex]\frac{1}{10}[/tex]

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

Answer:

The probability of first choosing a yellow marble and then a blue marble is:

[tex]\frac{1}{10}[/tex]

Answer:

24°

Step-by-step explanation:

see attached

Answer: [tex]z=24\°[/tex]

Step-by-step explanation:

We need to find the measure of "x":

Based on the figure, we know that:

[tex]48\°+x+x=180\°[/tex]

Then, we need to solve for "x". Therefore, its measure in degrees is:

[tex]48\°+2x=180\°\\\\2x=180\°-48\°\\\\2x=132\°\\\\x=\frac{132\°}{2}\\\\x=66\°[/tex]

By definition, the sum of the interior angles of a triangle is 180 degrees. Since we know the measure of "x" and we know that one of the interior angles is a the right angle (an angle that measures 90 degrees), we can conclude that:

[tex]z+90\°+x=180\°[/tex]

Substituting the value of "x" into the equation and solving for "z", we get:

[tex]z+90\°+66\°=180\°\\\\z=24\°[/tex]

Answer:

x3 + 5y2

Step-by-step explanation:

The expression 6x³ + 3y²– 5x³ + 2y² is equivalent to x³ + 5y² so option (C) will be correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

6x³ + 3y²– 5x³ + 2y²

Combine all likely terms

(6x³ -  5x³) + (3y² + 2y²)

⇒ x³ + 5y²

Hence,The expression 6x³ + 3y²– 5x³ + 2y² is equivalent to x³ + 5y².

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

log 5 + log 2 = 1

Final answer:

Two teams working together will take approximately 133.33 hours or about 5.56 days to clean the city streets. This is less than the one week (7 days) available before filming begins, so the streets will be clean in time.

Explanation:

To calculate how long it will take for two teams working together to clean the city streets, we use the concept of combined work rates.

The first team requires 200 hours to clean the streets, while the second team requires 400 hours.

When working together, we can add their rates of work, which means the first team cleans 1/200 of the city per hour, and the second team cleans 1/400 of the city per hour.

The combined rate of work will be:
1/200 (team A's rate) + 1/400 (team B's rate)
= 2/400 + 1/400
= 3/400

So, together they clean 3/400 of the city per hour. To find out how many total hours it will take to clean the entire city, we take the reciprocal of their combined rate
1 / (3/400)
= 400/3
≈ 133.33 hours

Since there are 24 hours in a day, we divide the total hours by 24 to find out how many days it will take:
133.33 hours / 24 hours/day
≈ 5.56 days
Given that the crew will arrive in one week, which is 7 days, this is within the time frame required before filming begins. The teams have enough time to clean the streets before the cameras start rolling.

Answer:

semi circle

Step-by-step explanation:

Answer:

Semicircle

Step-by-step explanation:

Answer:

Option D) h(x), f(x), g(x)

Step-by-step explanation:

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola

Part 1) we have

[tex]f(x)=4x^{2} -1[/tex]

This is a vertical parabola open upward

The vertex is a minimum The vertex is the point (0,-1)

The x-coordinate of the vertex is 0

so

The axis of symmetry is x=0

Part 2) we have

[tex]g(x)=x^{2}-8x+5[/tex]

This is a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

[tex]g(x)-5=x^{2}-8x[/tex]

[tex]g(x)-5+16=x^{2}-8x+16[/tex]

[tex]g(x)+11=x^{2}-8x+16[/tex]

[tex]g(x)+11=(x-4)^{2}[/tex]

[tex]g(x)=(x-4)^{2}-11[/tex]

The vertex is the point (4,-11)

The x-coordinate of the vertex is 4

so

The axis of symmetry is x=4

Part 3) we have

[tex]h(x)=-3x^{2}-12x+1[/tex]

This is a vertical parabola open downward

The vertex is a maximum

Convert the equation into vertex form

[tex]h(x)-1=-3x^{2}-12x[/tex]

[tex]h(x)-1=-3(x^{2}+4x)[/tex]

[tex]h(x)-1-12=-3(x^{2}+4x+4)[/tex]

[tex]h(x)-13=-3(x+2)^{2}[/tex]

[tex]h(x)=-3(x+2)^{2}+13[/tex]

The vertex is the point (-2,13)

The x-coordinate of the vertex is -2

so

The axis of symmetry is x=-2

Part 4) Rank their axis of symmetry from least to greatest

1) h(x) -----> axis of symmetry -2

2) f(x) -----> axis of symmetry 0

3) g(x) -----> axis of symmetry 4

so

h(x),f(x),g(x)

Answer:

25t + 3t = 9

Step-by-step explanation:

Since they are going to each other, their speeds need to be combined, since they both contribute to reduce the distance between them.

So, 25t + 3t = 9 is the answer, because

25t is the distance Jamal will drive in an hour,

3t is the distance Mike will walk in an hour,

9 is the distance to be covered so they can meet.

Answer:

25t + 3t = 9

Step-by-step explanation:

Answer:

Option D is the answer.

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 140°C.

So inequality which models this situation will be -40°C < T < 140°C

Now we have to show this inequality in Fahrenheit temperature with the help of [tex]C=\frac{5}{9}(F-32)[/tex]

So the compound inequality in Fahrenheit temperature will be

[tex]-40<\frac{5}{9}(F-32)<140[/tex]

Answer: FLVS ALGEBRA 1

The answer would be  D  

Step-by-step explanation:

The label says that the cars antifreeze is -40°C and 140°C.

so the inequality which models this situation will be -40°C < T < 140°C

Now you got to show this inequality in Fahrenheit temperature.

So the compound inequality in Fahrenheit temperature will be Option D

Answer:

the function is odd

Step-by-step explanation:

A function f(x) is said to be even if f(-x) = f(x)

On the other hand, f(x) is said to be odd if f(-x)≠ f(x).

We plug in -x in place of x in the given function and simplify;

f(-x) = 3(-x-1)^4

f(-x) = 3[-1(x+1)]^4

f(-x) = 3 *(-1)^4 * (x+1)^4

f(-x) = 3(x+1)^4 ≠ f(x)

Therefore, the function given is odd

Answer:

The given function is odd

Step-by-step explanation:

we need to determine the function [tex]f(x)=3(x-1)^{4}[/tex] is odd or even

Since, A function f(x) is said to be even if [tex]f(-x) = f(x)[/tex]

and f(x) is said to be odd if [tex]f(-x)= - f(x)[/tex] and [tex]f(-x) \neq f(x)[/tex]

We Replace x with -x in the given function and solve;

[tex]f(x)=3(x-1)^{4}[/tex]

[tex]f(-x)=3(-x-1)^{4}[/tex]

take out the negative common,

[tex]f(-x)=3[-(x+1)]^{4}[/tex]

Since [tex](-1)^{4}=1[/tex]

[tex]f(-x)=3(x+1)^{4}[/tex]

[tex]f(-x) \neq f(x)[/tex]

Hence, the given function is odd

It's always easy to do these as a fraction. We want won/total games played.

Games = 8 + 10 or 18 games played.

pct = 10/18

pct = 0.5555555556

Round to 3 decimal places.

pct = 0.556

Multiply pct by 100.

So, 0.556 • 100 = 55.6.

The pct sought is 55.6%.

Answer:

Yes, there will be enough root beer for everyone to have at least one cup

Step-by-step explanation:

step 1

Find the volume of the cylinder root beer keg

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=13/2=6.5\ in[/tex] -----> the radius is half the diameter

[tex]h=17\ in[/tex]

substitute

[tex]V=\pi (6.5)^{2} (17)[/tex]

[tex]V=718.25\pi\ in^{3}[/tex]

step 2

Find the volume of the cylinder cups

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=3/2=1.5\ in[/tex] -----> the radius is half the diameter

[tex]h=4\frac{3}{4}\ in=4.75\ in[/tex]

substitute

[tex]V=\pi (1.5)^{2} (4.75)[/tex]

[tex]V=10.6875\pi\ in^{3}[/tex]

step 3

Multiply the volume of one cup by 50 (the total number of students) and then compare the result with the volume of the cylinder root beer keg

so

[tex]10.6875\pi*(50)=534.375\pi\ in^{3}[/tex]

[tex]534.375\pi\ in^{3}< 718.25\pi\ in^{3} [/tex]

therefore

There will be enough root beer for everyone to have at least one cup

Answer:

Yes. There is enough for everyone.

Step 1: Find the volume of the keg

Diameter : 13

Radius : 6.5

Height : 17

Formula for the area of a circle (base) is πr^2

Solve that using the above formula.

Base area = 132.73

Multiply that by the height.

Keg volume : 2,256.45 inches cubed

Step 2: Find the volume of the cups

Diameter : 3

Radius : 1.5

Height : 4 3/4

Formula for area of a circle (base) is πr^2

Solve that using the above formula.

Base area = 7.07

Multiply that by the height.

Cup volume : 33.58 inches cubed

Step 3: Multiply cup volume by 50

33.58 x 50 = 1,678.79

Step 4: Check how much root beer you have for everyone.

Root beer needed : 2,256.45

Root beer available : 1,678.79

Is there enough root beer?

Yes

Answer:

B

Step-by-step explanation:

1° = 60 minutes = 3600 seconds

[tex]|\Omega|=6\cdot2=12\\|A|=4\cdot1=4\\\\P(A)=\dfrac{4}{12}=\dfrac{1}{3}[/tex]

Answer:

D.  1/3.

Step-by-step explanation:

Probability(Rolling a number < 5) = 2/3 and

probability( Getting a head) = 1/2

The required probability , since the 2 events are independent is the product of the above  = 2/3 * 1/2 = 1/3.

Hey there! Thanks for asking your question here on Brainly.

Let's split this question up into two parts: large and cold drink. Now that we have our two parts, we need to figure out which would be the numerator and which would be the denominator. Looking at the question, the size large would be the numerator because that is the part out of the whole we are finding. The whole would be cold drink because that is given, meaning that we are looking for the larges out of the entire cold drink section.

Now, we'll find the total amount of customers that ordered cold drinks for the whole part of our fraction. That is 25 customers. Next, we set the numerator of our fraction to the amount of customers that ordered large, cold drinks. Therefore, our fraction would be 5/25. The fraction in decimal form is 0.2, and in percent form is 20%.

Therefore, the probability that a customer ordered a large given that he or she ordered a cold drink is 20%.

Hope this helps! If there is anything else that I can help you with, please let me know! :)

Answer:

50m

Step-by-step explanation:

By using the information we have, we can create an equation using the Pythagorean theorem to solve for r. Once we have r double it to get diameter

Answer:

The answer is 50m

Answer:

[tex]P(A\hspace{3}or\hspace{3}B)=\frac{4}{5}=0.8 =80\%[/tex]

Step-by-step explanation:

If Events A and B are disjointed, this means that they are mutually exclusive events. Mutually exclusive events are those that if one event happens means that the other cannot occur. For this type of event the following properties are true:

[tex]A\cap B = \emptyset,\\\\P(A\cup B)=P(A\hspace{3}or\hspace{3}B)=P(A)+P(B)[/tex]

Therefore:

[tex]P(A\hspace{3}or\hspace{3}B)=P(A)+P(B)\\\\P(A\hspace{3}or\hspace{3}B)=\frac{8}{15} +\frac{4}{15} =\frac{12}{15} =\frac{4}{5} =0.8[/tex]

You can also write the result as a percentage just multiplying by 100:

[tex]P(A\hspace{3}or\hspace{3}B)=0.8*100=80\%[/tex]