Answers
Answer:
x = 70°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an external angle of the triangle, thus
x + 50 = 120 ( subtract 50 from both sides )
x = 70
Related Questions
Solve the problem.
6. John bought three cups of root beer. Two of the cups were smalls and the last
was a large. All the cups together add up to 52 fl. oz. of root beer. If the large can hold 36 fl. oz.
of root beer, how much root beer can a small cup hold.
Answers
Answer:
the small cup of root beer can hold 8 fl. oz
Step-by-step explanation:
52-36=16
16/2=8
Each small cup holds 8 fl. oz. Together they hold 16 fl. oz. Plus 36 fl. oz. Which equals 52 fl. oz.
Find the volume of a rectangular block of ice 2 feet by 4 1/2 feet by 1 1/2 feet.
Answers
Answer:
13.5 ft Cubed
Step-by-step explanation:
This is the same thing as [tex]2*4.5*1.5[/tex]. Now just multiply and you get
[tex]13.5[/tex].
Solve for x: 3x−8≤23 OR −4x+26≥6
Answers
Answer:
i am smort
Step-by-step explanation:
q
To solve the given system of inequalities, we can solve each inequality separately and then find the intersection of their solution sets. The solution set is x≤5.
Explanation:To solve the given inequality 3x-8≤23 or -4x+26≥6, we can solve each inequality separately and then find the intersection of their solution sets.
For the first inequality, 3x-8≤23, we add 8 to both sides and then divide by 3 to isolate x: 3x≤31, x≤31/3.
For the second inequality, -4x+26≥6, we subtract 26 from both sides and then divide by -4 to isolate x: -4x≥-20, x≤5.
Since x must satisfy both inequalities, the solution set is x≤5 and x≤31/3. Taking the smaller value, we have x≤5.
In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:
m∠C = γ
Answers
Answer:
155°
Step-by-step explanation:
In Δ ABC, let A = x°
By Angle-sum property,
A + B + C = 180°
But, it is given that C = 130°
So, x + B + 130 = 180
B = 180 - 130 - x
B = 50 - x
Since AD and BD are internal bisectors of A and B,
∠ DAB = x/2 and
∠ DBA =
In Δ ADB, by angle-sum property,
∠ DBA + ∠ DAB +∠ ADB = 180°
+ ∠ ADB = 180°
25 + ∠ ADB = 180°
∠ ADB = 180 - 25 = 155°
Hence, ∠ ADB = 155°
INEQUALITIES-PLEASE HELP! Tricia receives a $5 allowance every week. She also earns $6.50 for every hour that she baby-sits. Next week she wants to earn at least $21.25 to buy a present. Please write an inequality to math this equation.
Answers
Answer:
6.50x + 5 = 21.25 is the answer
Step-by-step explanation:
x=2.5
The inequality that represents Tricia's goal to earn at least $21.25 through her $5 allowance and $6.50 per hour from babysitting is E = 5 + 6.50h ≥ 21.25, where h represents the number of hours she babysits.
The student's question asks for an inequality to represent the situation where Tricia receives a $5 weekly allowance and earns $6.50 for each hour she babysits. The goal is to earn at least $21.25 to buy a present.
Let's denote the number of hours Tricia babysits as h. The inequality representing her total earnings E from both her allowance and babysitting will be:
E = 5 + 6.50h ≥ 21.25
This inequality implies that the sum of Tricia's weekly allowance ($5) and her babysitting earnings ($6.50 per hour multiplied by the number of hours h) should be at least $21.25.
The football team scored 28 points in the
first game. 35 points in their second game,
and 17 points in the third game About how
many points were scored in all three
games?
Answers
Answer:
80 points
Step-by-step explanation:
28+35=63.
63+17=80.
Hope this is addition.
That simple
By adding the points scored in each game, we find that the football team scored a total of 80 points in all three games.
Explanation:To find the total number of points the football team scored in all three games, we simply have to add the points scored in each game together. So, in the first game the team scored 28 points, in the second game they scored 35 points, and in the third game they scored 17 points. If we add these scores together (28 + 35 + 17), we get a total of 80 points. Therefore, the football team scored 80 points in all three games.
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troop 200 sold cider and donuts to raise money for charity. They sold small boxes of donut holes
for $1.25 and cider for $2.50 a gallon. In order to cover
their expenses they need to raise at least $100. Write and graph an inequality.
Answers
Answer:
The equation for the inequality is , c + d = 200
And , $ 2.50 c + $ 1.25 d = $ 100
Step-by-step explanation:
Given as :
The total quantity of cider and donuts for charity = 200
The price of donuts holes =$ 1.25
The price of cider = $ 2.50
The total price money for the cider and donuts = $ 100
Let the quantity of each donuts = d
And The quantity of cider = c
Now, According to question
The total quantity of cider and donuts for charity = 200
Or, The quantity of cider + the quantity of each donuts = 200
Or, c + d = 200 ..........A
And , $ 2.50 c + $ 1.25 d = $ 100 ............B
So, Solving equations
2.50 × ( c + d ) = 2.50 × 200
I.e 2.50 c + 2.50 d = 500
And 2.50 c + 1.25 d = 100
Or, ( 2.50 c + 2.50 d ) - ( 2.50 c + 1.25 d ) = 500 - 100
Or, (2.50 c - 2.50 c ) + ( 2.50 d - 1.25 d ) = 400
Or, 0 + 1.25 d = 400
∴ d = [tex]\frac{400}{1.25}[/tex]
I.e d = 320
The quantity of donuts = 320
Hence The equation for the inequality is , c + d = 200
And , $ 2.50 c + $ 1.25 d = $ 100 Answer
To cover their expenses, the troop needs to raise at least $100. The inequality 2.50x + 1.25y ≥ 100 represents this goal. The primary topic is solving and graphing inequalities in two variables.
Explanation:To write an inequality to represent the troop's goal, we can calculate the minimum amount of money they need to raise. Let x represent the number of gallons of cider sold and y represent the number of boxes of donut holes sold. The total amount of money raised can be given by the inequality 2.50x + 1.25y ≥ 100.
We can graph this inequality on a coordinate plane. Let's assume x represents the horizontal axis and y represents the vertical axis. To graph the inequality, we can first plot the line 2.50x + 1.25y = 100, which represents the equality. Then, since the inequality is ≥, we shade the region above the line to represent all the possible solutions that satisfy the inequality.
The primary topic of this question is solving and graphing inequalities in two variables.
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if my grade is a 49.1 F and i get 90 points on a test what will my grade go to
Answers
Answer:
A I think
Step-by-step explanation:
49.1+ 90
Answer:
C
Step-by-step explanation:
Find the average of the two test scores.
(49.1 + 90)/2
139.1/2
69.55 ⇒ which is grade C
how do i solve the proportion 4/9=10/x
Answers
Answer:
x=45/2
Step-by-step explanation:
4/9=10/x
cross product
9*10=4*x
90=4x
x=90/4
simplify
x=45/2
Determine which of the following equations, when graphed, intersect at the point (4, 0).
Select all that apply.
- x - y = 4
x - y = 4
2 x + y = 7
2 x + y = -7
x + y = 4
2 x - y = 7
Answers
Answer:
x - y = 4
x + y = 4
Step-by-step explanation:
Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).
- x - y = 4
- (4) - 0 = 4
-4 = 4
LS≠RS
x - y = 4
4 - 0 = 4
4 = 4
LS=RS
2 x + y = 7
2(4) + 0 = 7
8 = 7
LS≠RS
2 x + y = -7
2(4) + 0 = -7
8 = -7
LS≠RS
x + y = 4
4 + 0 = 4
4 = 4
LS=RS
2 x - y = 7
2(4) - 0 = 7
8 - 0 = 7
8 = 7
LS≠RS
Only x - y = 4 and x + y = 4 intersect at (4, 0).
Answer:
B and E sorry not sooner
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 6 small boxes has a total weight of 128 kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 137 kilograms. How much does each type of box weigh?
Answers
The weight of a large box is 18.25 kilograms and the weight of a small box is 15.25 kilograms.
Explanation:Let's use a system of equations to solve this problem. Let's assume the weight of a large box is 'x' and the weight of a small box is 'y'. Based on the given information, we can set up the following equations:
2x + 6y = 128 (equation 1)5x + 3y = 137 (equation 2)Now, we can solve this system of equations to find 'x' (the weight of a large box) and 'y' (the weight of a small box).
We can start by multiplying equation 1 by 5 and equation 2 by 2 to eliminate 'x':
10x + 30y = 640 (equation 3)10x + 6y = 274 (equation 4)Subtracting equation 4 from equation 3:
24y = 366
Simplifying:
y = 15.25
Substituting the value of 'y' back into equation 1 or 2, we can solve for 'x':
2x + 6(15.25) = 1282x + 91.5 = 1282x = 128 - 91.52x = 36.5x = 18.25Therefore, a large box weighs 18.25 kilograms and a small box weighs 15.25 kilograms.
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A wooden beam is left parenthesis 6 y squared plus 5 y plus 1 right parenthesis6y2+5y+1 meters long. If a piece of length left parenthesis y squared minus 12 right parenthesisy2−12 meters is cut off, express the length of the remaining piece of beam as a polynomial in y.
Answers
Answer:
5y² + 5y - 11
Step-by-step explanation:
The length of a wooden beam is as a function of y
L(y) = 6y² + 5y + 1
and a piece of length y² - 12 is cut off the remaining piece is
6y² + 5y + 1 - y² - 12 = 5y² + 5y - 11
To find the remaining length of the wooden beam, subtract the length of the cut-off piece from the original polynomial. Simplify the expression to get the final answer: 5y² + 5y + 13 meters. This represents the remaining length of the beam.
Finding the Remaining Length of the Wooden Beam:
We start with the original length of the wooden beam given by the polynomial 6y² + 5y + 1 meters.
We need to subtract the length of the piece that was cut off, which is given by the polynomial y² - 12 meters.
First, write down the original length of the beam:
6y² + 5y + 1
Next, identify the length of the piece cut off:
y² - 12
Subtract the second polynomial from the first:
(6y² + 5y + 1) - (y² - 12)
Simplify the expression by combining like terms:
6y² - y² = 5y²
5y remains unchanged.
1 - (-12) = 1 + 12 = 13
So, the remaining length of the beam is:
5y² + 5y + 13
The remaining length of the wooden beam, expressed as a polynomial in y, is 5y² + 5y + 13 meters.
alex grew 1 foot over the past year. He is now 6 feet tall
Answers
Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?
Answers
Answer:
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Mileage included with the rental = 54 miles
Additional mile over 54 miles = US$ 1 4/5
Distance finally driven by Thomas = 69 miles
2. Let's calculate how much additional money Thomas needs to pay.
Extra miles driven by Thomas = Distance finally driven - Mileage included
Extra miles driven by Thomas = 69 - 54
Extra miles driven by Thomas = 15
Cost of the additional miles = 15 * 1 4/5
Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80
Cost of the additional miles = 27
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
Note: Same answer to question 14038906, answered by me.
what is a the positive solution of x^2 - 36 =5x
Answers
Answer:
x = 9Step-by-step explanation:
[tex]x^2-36=5x\qquad\text{subtract}\ 5x\ \text{from bot sides}\\\\x^2-5x-36=0\\\\x^2+4x-9x-36=0\qquad\text{distribute}\\\\x(x+4)-9(x+4)=0\\\\(x+4)(x-9)=0\iff x+4=0\ \vee\ x-9=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\\x=-4<0\\\\x-9=0\qquad\text{add 9 to both sides}\\\\x=9>0[/tex]
Kristina work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike in all to and from her job in 29 weeks?
Answers
Answer:
Step-by-step explanation:
Since you know that she bikes 2.625 miles to and from, times that by 2 to get the daily miles biked, 5.25 miles.
With this, do 5.25*5 to get the weekly miles biked, 26.25 miles.
Next, do 26.25*29 to get the miles total in 29 weeks, 761.25 miles.
So, Kristina bikes 761.25 miles in 29 weeks for her job.
mr morton sold bird houses to stores. he started the week with 60. he sold 10 to one store and divided the rest between 5 other stores. how many birdhouses did he sell to each of the other 5 stores?
Answers
Answer:
10
Step-by-step explanation:
Mr morton initially had 60 bird houses.
He sold 10 to one store.
So left number of birdhouses = 60 - 10 = 50.
He sold them equally to 5 stores,
So, each of them will get [tex]\frac{50}{5}[/tex] = 10 bird houses.
So,
He sold 10 birdhouses to each of the other 5 stores.
Evaluate the expression. 7 x (33 - 18) need a anwser fast
Answers
Answer:
105
Step-by-step explanation:
7(33-18)=7(15)=105
Which expression is equivalent to the expression (-18) - 64n?
A -2(9 - 32n)
B 2(9 - 32n)
C -2(9 + 32n)
D 2(9 + 32n)
Answers
Answer:
C) -2(9+32n)
Step-by-step explanation:
(-18)-64n=-18-64n
---------------------------
A) -2(9-32n)=-18+64n
B) 2(9-32n)=18-64n
C) -2(9+32n)=-18-64n
D) 2(9+32n)=18+64n
-----------------------------------
The answer is C.
Samantha buys candy bars for $0.75 each and increases the price by 40% to sell at the concession stand. Which represents the amount of the price increase?
(A) $ 0.30
(B) $ 0.40
(C) $ 0.50
(D) $ 0.60
Answers
Answer:
Try to include yes 0.30
Step-by-step explanation:
That is because we have to check the top and the bottom the add and multiply
Answer:
a.) $0.30 cents is the answer
Step-by-step explanation:
.75 • .4
What is the solution to this equation x - 12 = - 4
Answers
Answer:
x = 8Step-by-step explanation:
x - 12 = -4 add 12 to both sides
x - 12 + 12 = -4 + 12
x = 8
Add 12 to -4
X=8
An international company has 16,300 employees in one country. If this represents 23.4% of the company’s employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answers
Answer:
[tex]69,658\ employees[/tex]
Step-by-step explanation:
we know that
16,300 employees represent 23.4%
so
using proportion
Find out how many employees represent 100% (total employees of the company)
Let
x -----> total employees of the company
[tex]\frac{16,300}{23.4\%}=\frac{x}{100\%}\\\\x=16,300(100)/23.4\\\\x=69,658\ employees[/tex]
Thomas borrowed 4800$ to buy a new car. He will be paying 96$ a each month for the next 60 months. Find the simple interest rate for his car loan.
Answers
Final answer:
The simple interest rate for Thomas' car loan is 3.33%.
Explanation:
To find the simple interest rate for Thomas' car loan, we need to use the formula for simple interest:
Simple Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $4800 and the monthly payment is $96. The time is 60 months. We can rearrange the formula to solve for the rate:
Rate = Simple Interest / (Principal x Time)
Plugging in the values:
Rate = 96 / (4800 x 60) = 0.0003333
So, the simple interest rate for Thomas' car loan is 0.03333 or 3.33%.
I have a question about my homework is lesson 5-3 apply for percent A/B I need help on question 5
Answers
Answer:
Can you explain the question?
Step-by-step explanation:
1.1(3) as a simplified fraction
Answers
Answer:
[tex]\large\boxed{1.1(3)=1\dfrac{2}{15}=\dfrac{17}{15}}[/tex]
Step-by-step explanation:
[tex]1.1(3)=1+0.1(3)=1+0.1333...\\\\\text{Let}\ x=0.1333...\qquad\text{multiply both sides by 10}\\\\10x=1.333...\qquad\texT{multiply both sides by 10}\\\\100x=13.333...\qquad\text{make different}\\\\100x-10x=13.333...-1.333...\\\\90x=12\qquad\text{divide both sides by 90}\\\\x=\dfrac{12}{90}\\\\x=\dfrac{12:6}{90:6}\\\\x=\dfrac{2}{15}[/tex]
A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of the people surveyed like to the new product?
Answers
Answer:
The percentage people surveyed like to the new product is 44%.
Step-by-step explanation:
Given:
Company took a survey about its new project, hundred people surveyed, 44 liked the new product.
Now, to find the percentage of the people surveyed like to the new product:
People like new product / Total people surveyed × 100
[tex]\frac{44}{100}\times 100[/tex]
[tex]=0.44\times 100[/tex]
[tex]=44[/tex]
So, it is 44%
Therefore, the percentage people surveyed like to the new product is 44%.
What is the answer to this
Answers
[tex] \frac{ {11}^{4} }{ {11}^{ - 1} } = {11}^{4} \times 11 = {11}^{5} = 161051[/tex]
[tex] {x}^{ - 1} = \frac{1}{x} [/tex]
[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
Answer:
11⁵Step-by-step explanation:
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^4}{11^{-1}}=11^{4-(-1)}=11^{4+1}=11^5[/tex]
you miss3 out of 7 on a science quiz and 9 out of 23 on math quiz which quiz has a higher percent of correct answers
Answers
Science Quiz: 42.8571429%
Math Quiz: 39.1304348%
Take the amount of answers correct out of the total, divide it, and then multiply by 100. In this case, Science has a higher score.
The percentage of correct answers for the science quiz is 57.14%, while for the math quiz it's 60.87%. Therefore, the student had a higher percentage of correct answers on the math quiz.
Explanation:You determine the percentage of correct answers on each quiz by dividing the number of correct answers by the total number of questions on each quiz respectively.
For the science quiz, you answered 4 out of 7 questions correctly since you missed 3 out of 7. The percentage of correct answers for the science quiz is thus (4/7)*100 = 57.14%.
For the math quiz, you answered 14 out of 23 questions correctly since you missed 9 out of 23. The percentage of correct answers for the math quiz is thus (14/23)*100 = 60.87%.
Therefore, you had a higher percentage of correct answers on the math quiz than on the science quiz.
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The area of a rectangle is 28 square meters. The length is 7 meters.
What is the width of the rectangle?
meters
Answers
length = 7
width = x
7x = 28
x = 28/7 = 4
Answer : width = 4m
To find the width of the rectangle, use the formula Width = Area ÷ Length. Given an area of 28 square meters and a length of 7 meters, the width is 4 meters.
The area of a rectangle is calculated using the formula:
Area = Length × Width
Given that the area is 28 square meters and the length is 7 meters, we can find the width by rearranging the formula:
Width = Area ÷ Length
Substitute the given values into the formula:
Width = 28 square meters ÷ 7 meters = 4 meters
Therefore, the width of the rectangle is 4 meters.
294 rounded to the nearest hundred
Answers
Answer:
300
Step-by-step explanation:
9 rounds it up