Answer:
x = 13
Step-by-step explanation:
All triangles equal 180 degrees
Since this is an equilateral triangle, all angles have the same measurement
180 degrees divided by 3 angles = 60 degrees per angle
Make an equation based on the info given:
60 = 5x - 5
Solve:
*add 5 to both sides*
65 = 5x
*divide both sides by 5*
13 = x
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]
So the percentage increase was 41.2%
What is the value of x?
(5y + 10)
(3x + 7)º
Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
Learn more about angles;
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Find the number that completes the following problem. 2
x8
192
Answer:
the second one X=3
the third X=4
Answer:
24 x 8 = 192
(3+5) + 2 = 2(3+2)
3^4 ( 3 with the exponent of 4
Step-by-step explanation:
192 divided by 8 is 24.
3 + 5 + 2 is 10 so just have to put 3 in the box so that equals 10
there is 4 threes so it’s 3 with the exponent of 4
they keep returning saying show work:/
Answer:
64
Step-by-step explanation:
If you do the work:
1) Start with the whole numbers
20 x 3 = 60
2) Move to multiplying fractions
20 x 1/5
2a) To do this, start by turning the whole number into a fraction
20 x 1
1 5
2b) Cross-multply
20 x 1 = 20
1 x 5 = 5
2c) Divide
20/5 = 4
3) Add products
60 + 4 = 64
What is the m=
And what is the equation
Please help me asap its almost due
Answer:
m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)
m = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{2-10}{7-0}[/tex]
= [tex]\frac{8}{7}[/tex]
= 1[tex]\frac{1}{7}[/tex]
Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.
Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?
Answer:
60%
Step-by-step explanation:
yes
The mean mass of 5 boys is 62 kg. When the mass of a boy is excluded, the mean mass of the remaining 4 boys becomes 64 kg. Find the mass of the boy that has been excluded
Answer:
54 kg
Step-by-step explanation:
x - regular boy
y - special boy who's weight we're counting
The mean mass of 5 boys:
(4x+y)÷5=62
The mean mass of 4 boys:
4x÷4=64
x=64kg
the mass of y boy:
(4×64+y)÷5=62
(256+y)÷5=62 |×5
256+y=310
y=310-256
y=54
find the product of (-2xy) (3y) (-7x)
Multiply the numbers:
-2 x 3 x -7 = 42
The the letters x time x = x^2
Y x y = y^2
Now combine for final answer:
42x^2y^2
which phrase is usually associated with addition
Ani teaches 25% of the 4 year-olds at her school. There are 60 4-year- olds. Ani also teaches 20 3-year- olds. How many students does Ani teach altogether ?
Answer:
[tex]35[/tex] students
Step-by-step explanation:
Given information:
- There are 60 4 year-olds, Ani teaches 25% of them.
- Ani also teaches 20 3 year-olds.
Total students:
[tex]25\%\times60 = 15[/tex] 4 year-olds
[tex]15+20 = 35[/tex]
∴ Ani teaches [tex]35[/tex] students in total
Hope this helps :)
please please please help i can't do this anymore
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x − 2
y is greater than or equal to negative 5 over 2 times x minus 2
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−2, −2) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
if you abuse the amount of points I put on this question I will report you
Answer:
Photo.
Step-by-step explanation:
A: The graph of the system is all points in the graph that suit 4x-2<y</=-5/2x-2
B: The point (-2,-2) is not included in the solution area. While it suits the second equation, it doesn't suit the first, ruling it out as a possible solution. If you plug in -2 as both y and x in the equation 4x-2>y, you'll get -8>-2, which is false. So, it is not a solution.
It’s asking : the table shows the relationship between the cost of an item and the length of time in months it lasts . What graph represents the data in the table?
1. F
2. H
3. I
4. G
Answer:
F
Step-by-step explanation:
I think
Answer:
F
Step-by-step explanation:
this is due today i'm really struggling on school and ill be really happy if someone answers this
please and thank you :')
Answer:
Hey man, I don't really know how to do these problems following those exact steps, but these are the steps i used to solve it:
Step-by-step explanation:
1: (8 x 3/4) to find price for 1. then multiply by 13 [(8x3/40x13]
2: 6x13
3:$78
PLEASE I NEED HELP I WILL GIVE BRAINLIEST
Daria wants to open a retail T-shirt business. She has determined that her start up cost will be $235,000. This amount includes $39,500 for the first year’s rent on the store, $22,750 for the equipment, $41,800 for the initial inventory, $18,500 for insurance, and $28,950 for heating and electricity. The rest of the cost would be for employee salaries. Write an equation that would allow you to calculate the cost of employees’ salaries (x), then solve the equation for x.
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hours total per week. He wants to make at least 65 dollars. Write a system of inequalities to represent this situation.
Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
[tex]x+y\leq 13[/tex]
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
[tex]4x+7y\geq 65[/tex]
Number of hours can not be negative.
[tex]x\geq 0, y\geq 0[/tex].
Therefore, the required system of inequalities contains some equations, [tex]x+y\leq 13,4x+7y\geq 65[/tex] and [tex]x, y\geq 0[/tex].
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Describe each step in the process for solving an literal equation.
Answer: in the image
I believe this is what you are looking for, hope this helps!
Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?
Answer:
2y=8/3x
Step-by-step explanation:
2 A large water tank holds 600 gallons of water. It is losing water at the rate shown in
the table.
Hours (x)
0
1
2
3
4
Gallons of Water in Tank (y)
600
540
480
420
360
Answer:
its losing 60 gallons an hour
Step-by-step explanation:
A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.
Answer:
0.419
Step-by-step explanation:
To calculate this, we shall make use of Bernoulli approximation of Binomial distribution
if 20% are defective, then 80% are not defective
Probability of selecting a defective fuse is 20/100 = 0.2
Probability of selecting a non defective one is 0.8
Probability of at least 1 being defective is = 1 - Probability of none being defective
Mathematically that will be;
0.8^8 = 0.168
The above is probability of none defective
So the probability of at least one will be
1 - 0.168 = 0.832
Probability of not more than 1 means;
Probability of none + probability of 1 being defective
We already have probability of none above
Probability of 1 being defective means 8 will be non defective
The probability in this case is;
8 C 1 0.2^1 0.8^7
= 8 * 0.2 * 0.8^7 = 0.336
Add this to the probability of none = 0.336 + 0.168 = 0.504
So the probability that we want to calculate from the question will be;
Probability of at least one defective * probability of not more than one defective
= 0.832 * 0.504 = 0.419
How is a rate simile do different from a ratio?
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
==========================================
Work Shown:
c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c
We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35
In other words, if you increase the price by 35%, then the new price is 135% of its old one
new price = 135% of old price
new price = 1.35*(old price)
I.Write the algebraic expressions for the following statements:
1. The sum of a and b subtracted from 5.
2. A number added to half of itself.
3. 2 less than 2times of x.
4. Product of numbers m and n added to 7.
5. One-third of the sum p and q subtracted from the product of p and q.
6. A number a multiplied by itself.
Answer:
1. 5 - (a+b)
2. n + 0.5n = 1.5 n
3. 2x - 2
4. 7 + mn
5. pq - (p+q)/3
6. a*a = a^2
Step-by-step explanation:
The contestant weighed in at 300 lbs last week. Their current weight is 285 lbs. What is
their percent of decrease?
Answer:
5%
Step-by-step explanation:
The contestant lost 15lbs. 10% of 300 is 30. Split both of those in half and 15 is 5% of 300.
What is the best deal ?? Please tell me step by step.
Answer:
10 cans of Pepsi for $6.30
Answer:
4 cans of Pepsi for 2.40
[tex]y > 3x + 9 y < 3x - 1[/tex]
please help is it infinite number of solutions, or no solution
Answer:
no solution
Step-by-step explanation:
HELP ASAP WILL MAKE BRAINLIST Answer the following questions.
1) Solve. Gravitation acceleration is 32 ft/sec.
Darnell kicked a football from the ground at an angle of 45° from horizontal. The
initial velocity of the football was 120 feet/second. At 2 seconds into the flight, how
high was the ball (y
) and how far downfield was it (c
)?
Answer:
lol can I get pic of the question
Can the side of a triangle have lengths 1,4 and 6 yes or no
Answer:
no
Step-by-step explanation:
Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years
Answer:750 divided by 3
Step-by-step explanation: