Answers
Answer:
1. 43, 45, and 47
2. 50, 52, and 54
3. 47 years old
4. 106 degrees
5. 66 degrees
Step-by-step explanation:
1. Let's assume that the first number in the three consecutive odd numbers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].
Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.
2. Let's assume that the first number in the three consecutive even integers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]
Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54
3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.
[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.
4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.
5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.
(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.
Related Questions
If you had six candy bars and you gave 12 people an equal piece, how much would
each person receive?
Answers
Answer:1/2 a candy bar
Step-by-step explanation:6 / 12 = 1/2
What is the expected value of one spin? Is it fair? Why or why not? Correct answer gets Brainliest!
Answers
Answer:
n
Step-by-step explanation:
n
Lily solve the equation 3x-10= -3x+8. The explanation of her process is shown. Select the text that shows an error in her process or justification of steps, if one exists.
Answers
Answer:sbutaraction property of equality
Step-by-step explanation:
Answer:
subtraction property of equality
Step-by-step explanation:
Lily’s process of solving the equation is correct until step 3.
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn, e, tomorrow if she works 10 hours at the same hourly rate.
How much will Rachel earn in 10 hours?
Answers
Answer:
$85
Step-by-step explanation:
Rachel will earn $85 because her hourly wage is $8.5.
Hope this helps! c:
Answer:
She would earn 85$
Step-by-step explanation:
If you divied 34 by 4 you get 8.5 then you times that by 10 you get 85.
Please pick between a b c or d help please!!
Answers
Answer:
A. (±[tex]\sqrt{10}[/tex])
Step-by-step explanation:
To find the value of x, you have to square both sides of the equation. [tex]\sqrt{x^{2} }[/tex] cancels out to just [tex]x[/tex], so you're left with [tex]x=[/tex]±[tex]\sqrt{10}[/tex].
Please help with is !!!!!!!!
Answers
1 inch= 2.54 cm
How many centimeters equal 5 feet?
762 cm
300 cm
152.4 cm
12.7 cm
Answers
Answer:
152.4 cm is the answer
Step-by-step explanation:
Answer:
152.4cm
Step-by-step explanation:
What is the image of (-7,-6) after a dilation by a scale factor of 1/2 centered at the origin
Answers
Answer:
(-3.5, -3).
Step-by-step explanation:
That would be (-7/2, -6/2) or (-3.5, -3)..
Answer:
(-7/2, -3)
Step-by-step explanation:
When the center of the dilation is the origin, each coordinate value is multiplied by the dilation factor.
The image point is ...
(1/2)(-7, -6) = (-7/2, -3)
A jazz band wants to sell $24,000 worth of tickets. If each ticket costs $80, how many tickets will the band have to sell to meet its goal?
Answers
Answer:
300
Step-by-step explanation:
24000/80
Answer:
300
Step-by-step explanation:
you have to sell $24000 worth of tickets and each is $80, so you do 24000/80 which you get 300 so you have to sell 300 more to meet its goal. since one ticket is 80 dollars then you divide 24000 with 80 so you get how many more tickets need to be sold. If you check your answer 300 tickets and each is $80 you do 300x80 which gives you $24000.
I need some help. Could someone explain it to me?
Answers
A relation between two variables a and b is a rule that takes some values a from a domain set and returns some value b in the range set.
The table says that, if you give 0, the relation returns 2. If you give 1, you get 6. If you give 4, you get -9. If you give 8, you get 8 back.
The domain is the set of values the relation can take, so here it is the set {0, 1, 4, 8}.
From the given choices, only 0 belongs to the domain.
There are 27 campers this is nine times as many as the number of counselors how many counselors are there
Answers
Answer:
3
Step-by-step explanation:9x3
Answer:
3
Step-by-step explanation:
It’s 3 because its 27 which is 9 times the amount so it would be 9x3 which is 27
A linear function and a quadratic function both have a domain of all real numbers.
True
False
?
Answers
Answer: True
Explanation: The domain of a quadratic function in standard format is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.
Linear function is almost always going to be all real numbers. The range of a non-horizontal linear function is all real numbers no matter how flat the slope might look.
the range of the function shows all real values
Caroline is baking pies for the teachers' lunch at her school. She plans to give every teacher of a pie. 1/8 She decides to bake 12 pies. How many complete pieces of pie will Caroline be able to serve to the teachers?
Answers
Answer:
96 Slices.
Step-by-step explanation:
You just multiply 8 and 12. 8 because there are 8 slices of pie in Caroline's pie. And 12 because she made 12 pies.
Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m
Answers
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
I needdd helpppppp what is m<2+m<3?
Answers
In triangle ABC:
∠1 = 90°
According to the angle sum property:
∠1 + ∠2 + ∠3 = 180
Since angle 1 is 90 degrees
∠2 + ∠3 = 180 - 90
∠2 + ∠3 = 90° [∠1 + ∠2 + ∠3 = 180]
A downhill skier was able to move 560 meters in 25 seconds. What is the skier’s average speed? (Round your answer to the nearest tenth of a meter per second.)
Answers
Answer:
20 m/s
Step-by-step explanation:
560 m/25 s
=22.4 m/s
≈ 20 m/s ( nearest tenth of m/s )
Answer:
22.4
Step-by-step explanation:
Just divide 560 by 25 .
In order to perform the indicated operation, which are possible first steps? Check all that apply.
FREE
(7.75 x 1011) – (5.68 < 1013)
✓x
o Rewrite 7.75 x 1011 as 775 x 109.
Rewrite 7.75 x 1011 as 0.0775 x 1013
Rewrite 5.68 x 1013 as 568 x 1011
Rewrite 5.68 x 1013 as 0.568 x 1015
O Subtract 7.75 -5.68.
Answers
The Actual Answer Is B.) Rewrite 7.75 × 1011 as 0.0775 × 1013. And C.) Rewrite 5.68 × 1013 as 568 × 1011.
2020
Answer:
The answers are B and C
Step-by-step explanation:
Need helppp plsss. It’s due today
Answers
If f(x) = 1/9x-2, what is f^-1(x)?
Answers
Answer:
1/-9x-2
Step-by-step explanation:
Answer:
Can you tell me in what form
4 lb 4 oz – 2 lb 7 oz
A. 1 lb 13 oz
B. 2 lb 13 oz
C. 2 lb 3 oz
Answers
Answer:
a 1lb 13 oz
Step-by-step explanation:
1 lb= 16 oz. convert to oz. 68oz - 39oz = 29 oz. vconvert back to lbs.= 1 lb 13 oz.
A truck can be rented from Company A for $130 a day plus $0.40 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answers
Answer:
You have to use the equation 130+.40x and 70+.60x just replace x with any number, but the answer to each equation must be the same.
Step-by-step explanation:
Answer:300 miles
Step-by-step explanation:
130+.4m=70+.6m
130=70+.2m
60=.2m
300=m
Multiply the following binomials together :(x+1)(x+3)
Answers
Answer:
x²+4x+3
Step-by-step explanation:
(x+1)(x+3)
x²+3x+1x+3
x²+4x+3
Which expression is not equivalent to -3x1/2+4y
Answers
Answer:
The second expression
Step-by-step explanation:
the term in x is not - 3 x
Simultaneous liner equations
X+y=20
22x+12y=300
The answer is x=6 and y=14
I just need the steps
Answers
Answer:
You already know the answers
Step-by-step explanation:
I did the work to show you how i got there. It took a little time to get there, if you don't understand how i got there, then don't be afraid to ask me a question
!
y
10
8
6
4
2
-10
-8
-6
-4
-2
X
4
6
8
10
-2
-4
-6
-8
-10
Answers
Answer:
BiG ChUnGuS moo
Step-by-step explanation:
(g + 12) ÷ h
Answer please
Answers
Answer:
g+12/4
Step-by-step explanation:
How do you simplify
x2+2x-8
x2+6x+8
Answers
Answer:
x4+8x
Step-by-step explanation:
x2+x2=x4
2x+6x=8x
(-8)+8=0
You cant add x4 and 8x so thats your final answer
Will give brainliest! plz answer!!
Answers
M & M’s possible? 7 M & M’s total
b. If there are 84 M & M’s in the bag all together, how many are green? 24 green ones
c. If red M & M’s were added to the bag in part b to get a total of 100, what is the ratio of green to yellow to red? 6: 15: 4
-2^2= 4 or -4??
i will give brainly
Answers
Answer:
4
Step-by-step explanation:
I am assuming you mean (-2)^2 and not -(2)^2, correct.
If i m wrong in the assumption and its the latter one, then it is -4 since you are taking the - of 4
Answer:
-4Step-by-step explanation:
[tex]-2^2=-4\ \text{because}\ -2^2=-(2\cdot2)=-4\\\\(-2)^2=4\ \text{because}\ (-2)^2=(-2)(-2)=4[/tex]
The parentheses are very important here.
The same in
[tex]\dfrac{2}{3}^2=\dfrac{4}{3}\\\\\left(\dfrac{2}{3}\right)^2=\dfrac{4}{9}[/tex]
NEED HELP!!!!!!!! ASAP
Which expression shows the total area of the courtyard?
A) s^4 + 4
B) s^2 + 4
C) s^2
D) 4s^2
Answers
Answer:
D. 4s²
Step-by-step explanation:
There are 4 equal spaces that the square court yard room is divided to.
Area of a square = s², where s is the side Length.
Therefore,:
Area of 1 space = s²
Total area of the square courtyard room = area of the 4 spaces = 4(s²) = 4s²
D. 4s² is the expression for the total area of the courtyard.
Answer:
4s² is the expression for the total area of the courtyard.
Step-by-step explanation: