Answers
Answer:
Step-by-step exx=3planation:
The exterior angle is equal to the sum of the opposite interior angles
3x^2 -6x+8x = 2x^2 +3x+6
Combine like terms
3x^2+2x=2x^2+3x+6
Subtract 2x^2 from each side
3x^2+2x -2x^2=2x^2-2x^2+3x+6
x^2+2x=3x+6
Subtract 3x from each side
x^2+2x-3x=3x-3x+6
x^2-x=6
Subtract 6 from each side
x^2 -x-6 =0
Factor
( x-3)(x+2) =0
Using the zero product property
x-3 =0 x+2 =0
x=3 x=-2
But x cannot be negative since an angle would have a negative value so
x=3
Check
3x^2 -6x+8x = 2x^2 +3x+6
3 ( 3)^2 -6(3) +8(3) = 2 (3)^2 +3(3)+6
3*9 -18 +24 = 2 *9 +9+6
27 -18+24 = 18+9+6
33=33
Related Questions
On Thursday a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold
Answers
Answer:
148 hamburgers sold
296 cheeseburgers sold
Step-by-step explanation:
x = number of hamburgers sold
2x = number of cheeseburgers sold
444 = total burgers sold
hamburgers + cheeseburgers = total burgers sold
x + 2x = 444
3x = 444
3x/3 = 444/3
x = 148
Check:
148 + 2(148) = 444
148 + 296 = 444
444 = 444
-3 < 5c + 7 < 22 solve the inequality
Answers
Answer: -2<x<3
Step-by-step explanation:
subtract seven on all sides
-10<5c<15
divide by 5 on all sides
-2<c<3
A green tree frog can eat 189 insects in eight hours how many insects can eat in 24 hours
Answers
Answer:
567 insects
Step-by-step explanation:
8x3=24
3x189=567
Find the value of x.
T
OX= 2
O x= 3
O x= 33
O x = 52
Answers
Answer:
x=3
Step-by-step explanation:
Angle TRS would be 180-45x as the angle lies on a straight line and we know angles on a straight line add up to 180 degrees
Then I would add the three angles in the triangle and equate it to 180 degrees as angles in any triangle add up to 180 degrees
therefore:
(180-45x)+25x+(57+x)=180
180-45x+26x+57=180
237-19x= 180
237-180=19x
57=19x
57/19=x
3=x
x is correct as when we substitute it in the angles in the triangle, the interior angles for the triangle does add up to 180
There are 28 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
Answers
Tomas works as an underwater photographer. He starts at a position that is 17 feet below sea level. He rises 9 feet, then descends 15 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answers
Answer:
(-17 + 9) - 15
Step-by-step explanation:
I think of below sa level as negative numbers, so 17 feet below sea level is -17. Then when he rises 9 feet that would be - 17 + 9. When he decends 15 feet to take another picture thats - 15. Then when you thing of pemdas addition goes first, so i just put parentases around -17 + 9 to get the expression (-17 + 9) - 15
Brandon says 6 - (-4) is 10. Jay says 6 - (-4) is 2. Who is correct? Explain.
Answers
Answer:
Brandon is correct
Step-by-step explanation:
two negatives equal a positive
Answer:
hi
Step-by-step explanation:
PLSSSSSSSSSSSSSSSS I NEED HELP
Problem Solving: Use
Reasoning
1. The delivery person stopped on the 14th floor to talk to a friend. Before stopping, he had just made a delivery 4 floors above. Before that he made a delivery 6 floors below. Before that he had made a delivery 9 floors above. Before that he had made a delivery 15 floors below. On what floor did he make his first delivery?
2. Geometry The volume of a rectangular prism is 208 cm3. If the area of one end is 16 cm2, what is the length of the prism?
3. On one day, a store sold 16 boxes of rice, restocked the shelf with 22 boxes, sold 27 boxes, restocked with 30 boxes, and sold 15 boxes. There are now 21 boxes of rice on the shelf. How many boxes were on the shelf at the start of the day?
4. At the end of the day, Brooke had $138.75 in her checking account. She had made a deposit of $115.07 and written checks totaling $176.94. How much did she have in her checking account at the beginning of the day?
A –$76.88
B $76.88
C $200.62
D $430.76
5. Writing to Explain The football team gained 7 yards, gained 4 yards, lost 5 yards, gained 21 yards, lost 2 yards, and gained 4 yards to their 43 yard line. Explain how you solved this problem. Then find the yard line where the team began.
Practice 7-6
Answers
Answer:
1. 6th Floor
2. 13 cm
3. 15 boxes
4. $76.88
5. 14
Step-by-step explanation:
1. 14 + 4 = 18. 18 - 6 = 12. 12 + 9 = 21. 21 - 15 = 6
2. 208 ÷ 16 = 13
3. 21 - 15 = 6. 6 + 30 = 36. 36 - 27 = 9. 9 + 22 = 31. 31 - 16 = 15
4. 138.75 + 115.07 = 253.82. 253.82 - 176.94 = 76.88
5. ? + 7 + 4 - 5 + 21 - 2 + 4 = 43. First you need to combine all of it:
? + 29 = 43. 43 - 29 = ?
43 - 29 = 14
? = 14
A carpenter bought bolts to finish a project. In all, the bolts weighed 2 pounds. There are 16 ounces in 1 pound. If each bolt weighed 1/12 ounce, how many bolts did the carpenter buy
Answers
Answer:
384boltsStep-by-step explanation:
Given that there are 16 ounces in 1 pound
the carpenter bought 2 pounds
hence he has 32 ounces altogether
also each bolt weighed 1/12 ounce
Hence in 32 ounces there are
32/1/12
multiply 32 by the inverse of the denominator we have
=32*12/1
=384bolts
Describe the Graph of y= x-2
Answers
Answer:
the picture above is the graph :)
Which decimal is equivalent to 3/6?
Answers
Answer:
.5
Step-by-step explanation:
3/6 = 1/2 = 0.5
hope this helps :)
Answer:
c
Step-by-step explanation:
3/6, 3 is half of 6. so 0.5
What is the approximate area of a circle with a diameter of 16 cm? Round to the nearest hundredth.
Use
3.14
Answers
Answer:
201.06
Step-by-step explanation:
When a number is increased by 39, the result
is 47. What equation fits this statement?
Answers
Answer:
×+39=47
Step-by-step explanation:
is what I think because reult is 47so =47 and 39 is positive so x +39
112.2 in the standard form
Answers
Answer:
112
Step-by-step explanation:
Answer:
One hundred and twelve and two tenths
Step-by-step explanation:
Write the following in EXPONENT FORM: 2 x 2 x 2 x 3x3
Answers
Answer:
2^3 x 3^2 (the ^ means to the ___ power)
Step-by-step explanation:
2 x 2 x 2 -----> 2 to the third power, 2^3
3 x 3 -------> 3 to the second power, 3^2
Hope this helps! Good luck :)
Estimate. Then find the product.
758
Answers
Answer:
can you further explain your question?
Step-by-step explanation:
Write a linear equation in slope intercept from that is perpendicular to x−3y=3 and passes through the point (5, −9).
Answers
Answer:
[tex]y=-3x+6[/tex]
Step-by-step explanation:
First, let’s determine the slope of the original equation.
We have [tex]x-3y=3[/tex]
Subtract x from both sides and then divide both sides by -3. So:
[tex]-3y=-x+3\\y=\frac{1}{3}x-1[/tex]
Therefore, the slope of our original line is 1/3.
Remember that perpendicular lines have slopes that are negative reciprocals of each other.
Therefore, the slope of our new perpendicular line is the negative reciprocal of 1/3.
Thus, the slope of our new line will be -3. We flip the fraction and add a negative.
So, the slope of our new line is -3. We also know that it passes through the point (5, -9).
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, substitute -3 for m and (5, -9) for (x₁, y₁). This yields:
[tex]y-(-9)=-3(x-5)[/tex]
We want our line in slope-intercept form. So, distribute the right:
[tex]y+9=-3x+15[/tex]
Subtract 9 from both sides. Therefore, our equation is:
[tex]y=-3x+6[/tex]
Answer:
5
Step-by-step explanation:
1)
SURFACE AREA
13 ft ▪️ square
What would be the surface area of a 13ft square
SURFACE AREA:
Answers
Answer: multiply by the number of faces
Step-by-step explanation:
If it is a square then you would do 13 x 13 = 169, that is the amount for one face. Then, multiply 169 times how many faces there are to find the surface area.
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 8x2 – 800
Answers
Answer:
-10, 10
Step-by-step explanation:
To do that, we can set up an equation:
[tex]8x^2-800=0[/tex]
We can divide both sides by 8 to make it easier to solve:
[tex]x^2-100=0[/tex]
Now, isolate the x and take the square root of both sides:
[tex]x^2=100\\x=\pm10[/tex]
Therefore, the 2 zeroes of f(x) are -10 and 10.
K-15 over 7 equals -1
Answers
Answer:
8
Step-by-step explanation:
8-15=-7
-7/7=-1
1) You purchase 5 pounds of candy for Halloween for $8! How many pounds of caner would you have purchased for $20?
Answers
Answer:
12.5
Step-by-step explanation:
Answer:
It should be 32 pounds.
Step-by-step explanation:
I divided 8 by 5 and got 1.6 and then multiplied that by 20 and got 32.
Please help asap. Ty
Answers
Ex: 1•10= 10
3•10=30
5•10=50
7•10=70
And it would keep going on like that for any amount of hours.
Hope that helps!
Can someone tell me how to do this step-by-step please
Answers
Answer:
A
Step-by-step explanation:
Answer:
y = 1/3x + 3
Step-by-step explanation:
Slope form of a equation: y = mx + b. The slope is 1/3, so y = 1/3x + b
Solve for b by plugging the (x, y) coordinate into the equation.
y = 1/3x + b
2 = 1/3(-3) + b
2 = -3/3 + b
2 = -1 + b
b = 3
So your answer is y = 1/3x + 3
A conservative estimate of the number of stars in the universe is 6x10^22. The average human can see about 3,000 stars at night with his naked eye.About how many more times more stars are there in the universe compared to the stars human can actually see?
Answers
Answer:
2 × 10^19 times
Step-by-step explanation:
Number of stars in universe = 6x10^22
Number of stars eye can see = 3000
About how many more times more stars are there in the universe compared to the stars human can actually see?
Number of stars in universe / number of stars eye can see
= 6x10^22 / 3000
= 6 × 10^22 / 3 × 10^3
= 2 × 10^(22 - 3)
= 2 × 10^19 times
Number of stars in universe is 2 × 10^19 times more than that which the eyes can see
Which one?
A. B. C. or D?
Answers
Answer:
A) -9
Step-by-step explanation:
You can take one zero off of each number. That leaves you with 9/-1. 9/1 is 9, and then you add a negative sign to the 9.
Alexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
2 miles
3 and one-half miles
4 and one-half miles
6 miles
Answers
Answer:
4 and one-half miles
Step-by-step explanation:
The answer closest to the correct answer is 4 and one-half miles.
To get the answer, you multiply 3 times the length of one lap which is 1 and [tex]\frac{3}{8}[/tex] miles. To multiply the fraction, you take 3 times the top number in the fraction. So 3 x 1 [tex]\frac{3}{8}[/tex] = 3 [tex]\frac{9}{8}[/tex]. The fraction can actually be reduced to 1 and [tex]\frac{1}{8}[/tex] miles. So you're total correct answer is 4 and [tex]\frac{1}{8}[/tex] miles.
The second selection is 3 and [tex]\frac{1}{2}[/tex] which can also be written as 3 and [tex]\frac{4}{8}[/tex] to make it easier to determine which answer is correct. The second answer is therefore [tex]\frac{5}{8}[/tex] shorter than the correct answer.
The third selection is 4 and [tex]\frac{1}{2}[/tex] which can be written as 4 and [tex]\frac{4}{8}[/tex] so it is only [tex]\frac{3}{8}[/tex] longer than the correct answer. So this selection is the closest to the actual miles ran.
At an Italian restaurant, you order a salad for $2.50 and spaghetti for $8.25. Sales tax is 7.5%. What is the total of your bill including sales tax?
Answers
Answer: $11.56
Step-by-step explanation:
You had a lot of spare time this summer because of quarantine, so you and four family members took a 5-day white-water rafting and hiking trip. During your 5-day trip, 2 days were spent rafting. If the rafting trip covered a distance of 60 miles and you spent 8 hours rafting each day, how many miles did you raft each hour?
Answers
Answer:
3.75 miles per hour
Step-by-step explanation:
Given that:
Number of days spent rafting = 2 days total distance covered during rafting = 60 miles
Time spent rafting per day = 8 hours
Number of miles raft per hour:
Total number of raft hours over the 2 days = (8 * 2) = 16 hours
Total raft distance over the 2 days = 60 miles
Raft miles per hour :
Total raft distance / total number of raft hours
60 miles / 16 hours
= 3.75 miles per hour
A sho sales associate earned $300 inAugust. In September she earned 8% more than she did in August. How much did she earn in September?
Group of answer choices
$315
$308
$380
$324
Answers
HELP ME PLEASE!!!!!!!!!!
Answers
Answer:
2
Step-by-step explanation:
rise/run
4/2
2