Answer:
B: 30°, 78°, 72
Step-by-step explanation:
Given a [tex]\triangle ABC[/tex].
Let [tex]\angle A = x^\circ[/tex]
As per question statement, [tex]\angle B[/tex] is 18° more than twice of [tex]\angle A[/tex].
i.e
[tex]\angle B =(2x+18)^\circ[/tex]
[tex]\angle C[/tex] is 42° more than that of [tex]\angle A[/tex]
[tex]\angle C = (x+42)^\circ[/tex]
To find:
The angle measures of the triangle = ?
Solution:
We can use the angle sum property of a triangle here to find the three angles of the triangle.
As per angle sum property, the sum of all the three internal angles is equal to [tex]180^\circ[/tex].
[tex]\angle A + \angle B + \angle C= 180^\circ\\\Rightarrow x+2x+18+x+42=180^\circ\\\Rightarrow 4x+60=180\\\Rightarrow 4x=120\\\Rightarrow x= 30^\circ[/tex]
i.e. [tex]\angle A = 30^\circ[/tex]
[tex]\angle B = 2\times 30 + 18 = 78^\circ[/tex]
[tex]\angle C = 30+42 = 72^\circ[/tex]
Therefore, the correct answer is:
B: 30°, 78°, 72
Deborah is saving for a trip. She wants to have at least $74 for each of the 13 days of her trip. If saves $84 each month for 10 months, will she save enough money? 4. Use the strategy of mental math to find the total amount she will save. Then, write a division equation to see if she will save enough 5. Timothy says he can solve this problem a different way. He says that he can compare 84 x 10 and 74 x 18. Do you agree? Explain your thinking.
Answer:
No she will not save enough money for her trip and she needs $122 more for her trip.
Step-by-step explanation:
Deborah requires $74 each day for 13 days trip
Total least amount needed for the trip = 74*13
= $962
Deborah's saving strategy : she saves $84 per month for 10 months
saved amount at the end of the 10th month = 84*10 = $840
840/10 = $84
This clearly shows she is not saving enough money for her trip. She needs $122 more to support the expense of her trip.
Timothy way
84*10= $840 is to be compared with 74*18 = $1332
This method is also not a feasible one for calculating Deborah's expenses of her trip.
Nick climbed a hill with an elevation of feet. Later that day, he returned home descending 700 feet. Jacob deposited his paycheck of $ . Later that week, he withdrew the same amount of $225 to buy a new TV. Janine was scuba diving and dove 25 feet to look at the fish on the coral reef. She then swam feet to the surface. The temperature started at -25 degrees. During the day, the temperature rose 5 degrees and then dropped 5 degrees. At the end of the day, the temperature was degrees.
Answer:
700, 225, 25, -25
Step-by-step explanation:
In the question given, we have to fill the blanks in the situations to describe an opposite quantities which combines to make zero.
1. Nick returned home descending 700 feet later at the day because he climbed a hill that was 700 feet high.
2. Jack deposited an amount of $225 in his account but later that week, he bought a new TV by withdrawing the amount of $225 from his account.
3. Janine dove into the sea to look at the coral reefs to a depth of 25 feet, and then she swam back to the sea surface by swimming 25 feet upwards.
4. The final temperature at the end of the day was -25 degrees, as the morning temperature was -25 degrees and then at daytime, it rose for 5 degrees and then again dropped by 5 degrees.
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answer:
A C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Leah wants to earn at least 120 dollars a month and she has two job options. This is written as
5x + 8y > 120
She also can't work more than 20 hours, leading us to the second equation
x + y = 20
First we solve for one variable
y = 20 - x
then substitute it into the first equation
5x + 8(20 - x) = 120
Solve for x
5x + 160 - 8x = 120
3x = 40
x = 40/3
Then we solve for y
y = 20 - x
y = 20/3
x < 40/3
y > 20/3
B and D will not work because their x+y is greater than 20.
E will also not work because the value is less than 120
solve 2x^2+9x-7=0
Give your solutions correct to 3 significant figures.
Answer:
X = -1 or X = -3.5
Step-by-step explanation:
2x^2 + 9x + 7 = 0
ac = 14
b = 9
find a two numbers which when you multiply you get 14 and add you get 9.
so it will 2 and 7. (they replace b which is 9x)
therefore: 2x^2 + 2x + 7x + 7 = 0
find common factors using each 2 from the four.
2x( x + 1) + 7 (x+1) = 0
so it will be (2x + 7) (x+1) = 0
find x,
i) 2x +7 = 0
x= -3.5
ii) x + 1 = 0
x = -1
Whats The Answer Marking Brainliest, Please explain your answer:D...
.
Answer:
C. 12x
Each box has 12 envelopes.
The number of total envelopes will be the number of envelopes in a box multiplied by the number of boxes. The number of boxes is unknown, so it is replaced by the variable. This gives us 12x
On Wednesday mornings, admission to the park swimming pool is $3.00 per adult and $2.00 per child. Which expression can be used to find the cost of admission to the pool for a group of adults (a) and children (c)?
A. 3ac
B.5+ac
C. 3a+2c
D. 2(3)+ac
WILL GIVE BRAINLIEST I NEED THIS FAST
Answer:
C.) 3a + 2c
Step-by-step explanation:
$3 per adult (a)
$3(a)
+
$2 per child (c)
$2(c)
Answer:
C. 3a+2c
Step-by-step explanation:
It is 3 $ for a adult hence the 3a and 2$ for a child hence 2c
Write and solve an equation for seven less than fou
times a number is 29.
what is the slope of the line that contains the points (-1,2) and (2,2)
Answer:
the equation to find the slope is (y2-y1)/(x2-x1)
the points are (-1,2) and (2,2) so plug it in and you get
(2-2)/(2-(-1))
0/ (2+1)
0/3
whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.
Ms. D's 4th period geometry class has both freshman and sophomores. There are 27 kids in the class and it has twice as many freshman as sophomores. How many freshman are in the class?
let x=
let y=
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.
Part B: Solve the system of equations from Part A algebraically. Show your work.
Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.
Answer:
The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
Step-by-step explanation:
what is the x-coordinate of R' ?
Answer:
3
Step-by-step explanation:
Answer:
12
The x-axis is the horizontal one. The full coordinate is (12, 0), which the x-coordinate (or x-intercept) is 12.
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true? Team A scored 85 points. Team A scored 255 points. Team C scored 261 points. Team C scored 130 points.
Answer:
"Team C scored 130 points."
Step-by-step explanation:
Let x represent how many points team B scored.
Team A: 3x + 6
Team B: x
Team C: x + 45
Total: 476 points
476 = (x) + (3x + 6) + (x + 45)
476 = x + 3x + 6 + x + 45
476 = 5x + 51
425 = 5x
x = 85
Team A:
3(85) + 6
= 261 pts
Team B:
= 85 pts
Team C:
(85) + 45
= 130 points
Answer:
Team c 130
Step-by-step explanation:
John has $190 in his savings account. He earns 10% in interest per year.
What will John’s saving account balance be at the end of the year?
Answer:
1,900
Step-by-step explanation:
Identify the function shown in this graph.
3
2
OA. y= x+4
OB. y= -xt 4
OC. y= -X- 4
OD. y= x- 4
Answer:
A
Step-by-step explanation:
y on the horizontal y axis is to the y while x in the vertical axis point to +4
The function shown in the graph is y = x+ 4.
The correct option is A.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the equation of the line that passes through the points (-4, 0) and (0, 4), we can use the point-slope form of the equation of a line as described in the definition.
First, let's find the slope of the line. We can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-4, 0) and (x2, y2) = (0, 4):
m = (4 - 0) / (0 - (-4)) = 4 / 4 = 1
So the slope of the line is 1.
Next, let's choose one of the given points, say (-4, 0), and substitute its coordinates and the slope into the point-slope form:
y - 0 = 1(x - (-4))
Simplifying this equation, we get:
y = x + 4
So the equation of the line that passes through the points (-4, 0) and (0, 4) is y = x + 4.
To learn more about the slope;
brainly.com/question/3605446
#SPJ7
simplify 6(2x + 4) – 2x + 15 – y
Please help me on this one I'm tripping on it.
Answer:
10x + 39 - y
Step-by-step explanation:
Answer:
10x - y +39
Step-by-step explanation:
The value of a rare baseball card has increased in value each year since it was found at a garage sale. The value of the card is modeled by the function f(x) = 185(1.13)x. What do f(x) and x represent in this situation? f(x) represents the total value of the card; x represents the number of years f(x) represents the number of years; x represents the total value of the card f(x) represents the base which is growing by 13% each year ; x represents the intial value of the baseball card f(x) represents the intial value of the baseball card; x represents the base which is growing by 13% each year
Answer:
Step-by-step explanation:
ok
I don’t know if this is correct or not !!!!!!! Please HELP !!!!!!!!! Will mark Brianliest !!!!!!!!
Answer:
pretty sure my dude
Step-by-step explanation:
tbh just use a ruler
Need help due in a few minutes. Plzzzzzz
Answer:
7 seconds
Step-by-step explanation:
set the equation to 0 because the water is the 0 point, and solve, you will get 7 and -5. It is not possible to have negative seconds so 7
help plz :(((((((((((((
Answer: ITS A! I HAVE THE SAME TEST!
Step-by-step explanation:
x intercepts of -12x^2+108x=h and the y intercept
Answer:
x: 0 or 9
y-int: 0
pls help 7th grade math. what is the value of (-4)^2+6÷(3+4)(2)-5?
A Disney world
B the legend of zelda breath of the wild
C Christmas tree
D ELMER'S glue
Answer:
a carrot
Step-by-step explanation:
(-4)^2+6÷(3+4)(2)-5? x 2 +1(2) x 8 equals carrot
Answer:
Mario odyssey
Step-by-step explanation:
help> ?????? pleaes asdfdfffffffff
Answer:
37.9701
Step-by-step explanation:
I only know the first one?? I'm really sorry cacsknak ik i said id help, but :( it's hard, and i never learned how to do the bottom two.
Jerry is purchasing books online. The books cost $65.00. There is a shipping and handling fee of 6%. How much will the books cost him including the shipping and handling fee?
Answer:
$68.9
Step-by-step explanation:
65*0.06 is 3.9
65+3.9 is 68.9
Hope this helps!
Merry Christmas!
select all the intervals where h is decreasing
Answer:
It is A) -4
Step-by-step explanation:
Which of the following values does not satisfy the inequality X - 7 > 12?
A 11
B 33
C 22
D 44
Answer:
We conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Step-by-step explanation:
Given the inequality
x - 7 > 12
Any value which makes the inequality FALSE would be the value that not satisfy the inequality.
Putting x = 11 in the inequality
x - 7 > 12
11 - 7 > 12
4 > 12
FALSE!
Reason: 4 can not be greater than 12
Putting x = 33 in the inequality
x - 7 > 12
33 - 7 > 12
26 > 12
TRUE!
Reason: 26 is indeed greater than 12
Putting x = 22 in the inequality
x - 7 > 12
22 - 7 > 12
15 > 12
TRUE!
Reason: 15 is indeed greater than 12
Putting x = 44 in the inequality
x - 7 > 12
44 - 7 > 12
37 > 12
TRUE!
Reason: 37 is indeed greater than 12
Therefore, we conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Answer:
11
Step-by-step explanation:
3. The sum of Ben and Jerry's ages are 47. Jerry is 9 years older than Ben How old are Ben
and Jerry?
(HELP ME!!!)
Answer:
Ben has 38 years older and jerry is 9 years old
Evaluate the expression below
if a = -8, b = 17, and c = 21
a2 –(b+c)
Answer:
-54
Step-by-step explanation:
first fill in the numbers
next do the parentheses 17 + 21=38
then find -8×2 which equals -16
then subtract -16 from 38 and get -54
The value of the expression a² - (b + c) at a = -8, b = 17, and c = 21 will be 26.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ a² - (b + c)
The value of the expression at a = -8, b = 17, and c = 21 will be
⇒ a² - (b + c)
⇒ (-8)² - (17 + 21)
⇒ 64 - 38
⇒ 26
The value of the expression a² - (b + c) at a = -8, b = 17, and c = 21 will be 26.
More about the value of expression link is given below.
https://brainly.com/question/23671908
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The graph above shows the costs of two phone plans. How many minutes does a person need to call each month so that Plan B is the less expensive plan to use?
A. Less than 10 minutes
B. More than 10 minutes but less than 20 minutes
C. More than 30 minutes but less than 40
D. More than 40 minutes
Answer:
uhm, i need this answer also
Step-by-step explanation:
did you ever get the answer ? if so could you be kind enough to give it to me pleasee
A geologist had two rocks on a scale that weighed 2 1 ⁄ 2 lbs together. Rock A was 1/3 of the total weight. How much did rock A weigh?
Answer:
0.8333 pounds
Step-by-step explanation:
1/3 of 2 1/2 is 0.83 pounds
Answer: 1/2
Step-by-step explanation: first, change 1 1/2 into 3/2 (1/3*3/2). then, cross reduce (1*1/2). multiply, and then you have your answer
in Mateo's grade, there are 100 students, Currently, 25% of them are enrolled in health, How
many students are enrolled in health?
Answer:25
Step-by-step explanation:
Answer:
25!
Step-by-step explanation:
Whenever multiplying by a percentage, you always take the whole number and multiply it by the decimal amount of the number. In this case, 25% is equivalent to 1/4 of an amount, so there would be 25 students enrolled in health. I hope this helped! <3