Answers
Answer:
x = 3
Step-by-step explanation:
An equilateral ∆ has equal side lengths and all its angles are also equal to each other, which are 60° each.
The ∆ given has equal side lengths. Therefore it is an equilateral ∆ having equal angles, each would measure 60°.
Thus:
(25x - 15) = 60°
Solve for x
25x - 15 = 60
Add 16 to both sides
25x - 15 + 15 = 60 + 15
25x = 75
Divide both sides by 25
25x/25 = 75/25
x = 3
Related Questions
In a triangle, the base is increasing at a constant rate of 2.8 cm per second, while the height is decreasing at a constant rate of 0.7 cm per second. At the instant when the base of the triangle is 6 cm and the height of the triangle is 10 cm, what is the rate of change of the area of the triangle?
Answers
Answer:
Step-by-step explanation:
Area of a triangle = 1/2bh
b is the base
h is the height
dA/dt = dA/db * db/dt + dA/dh * dh/dt
h = 10cm
b = 6cm
dA/db = h/2 = 10/2
dA/db = 5cm
dA/dh = b/2
dA/dh = 6/2 = 3cm
db/dt = 2.8cm/s
dh/dt = 0.7cm/s
Substitutte into the formula;
dA/dt = 5(2.8) + 3(0.7)
dA/dt = 14 + 2.1
dA/dt = 16.1cm²/s
Hence the rate of change of the area of the triangle is 16.1cm²/s
Write an expression to represent: 8 less than the product of 3 and a number.
Answers
The expression is 3x-8.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Let a number is x.
And the given expression,
8 less than the product of 3 and a number.
That means the expression, 8 less than means -8 and product of 3 and a number x ;
3x -8.
Therefore, the expression is 3x -8.
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all ratios equivalent to 5:2.
Answers
Answer:
10 : 4, 15 : 6, 20 : 8, 25 : 10, 30 : 12, 35 : 14, 40 : 16, 45 : 18, 50 : 20, 55 : 22 60 : 24 65 : 26 70 : 28 75 : 30 there are many many more
Step-by-step explanation:
Edan buys 3 tickets to a concert. When the delivery charge of $7.75 per order is added to the cost of the tickets, the total cost is $70.75. A) Create an algebraic equation for this problem. Use the equation to determine the cost of each ticket. Verify your solution. B) Olivia is Edan's cousin. Olivia has asked Edan to purchase tickets for her friends as well. Edan has now purchased 6 tickets in total. Use an algebraic equation to determine the total cost to Edan? C) Olivia has come down with the flu, and her friends no longer want to attend the concert. Edan is thinking of selling the 6 tickets she bought. Her goal is to earn $100 after selling the tickets. Using the equations from part a) and b), how much should Edan sell each ticket for, if she wants to make a profit of at least $100?
Answers
Answer:
a) $21
b) $133.75
c) $233.75
Step-by-step explanation:
Edan buys 3 tickets to a concert. When the delivery charge of $7.75 per order is added to the cost of the tickets, the total cost is $70.75.
A) Create an algebraic equation for this problem. Use the equation to determine the cost of each ticket. Verify your solution.
Let the number of tickets be represented by x
The equation is:
3x + 7.75 = 70.75
3x = 70.75 - 7.75
3x = 63
x = 63/3
x = $21
Each ticket cost $21
B) Olivia is Edan's cousin. Olivia has asked Edan to purchase tickets for her friends as well. Edan has now purchased 6 tickets in total. Use an algebraic equation to determine the total cost to Edan?
1 ticket cost = $21
Let the number of tickets be represented by x
Hence, the equation is
21x + $7.75
21 × 6 + $7.75
= 126 + $7.75
= $133.75
C) Olivia has come down with the flu, and her friends no longer want to attend the concert. Edan is thinking of selling the 6 tickets she bought. Her goal is to earn $100 after selling the tickets. Using the equations from part a) and b), how much should Edan sell each ticket for, if she
Profit = Selling price - Cost Price
Cost price = $133.75
Profit = $100
Selling price = Cost price + Profit
Selling price = $133.75 + $100
= $233.75
Jason solved for the quotient of 133.5 ÷ 5.
5 StartLongDivisionSymbol 133.5 EndLongDivisionSymbol minus 10 = 33. 33 minus 30 = 35. 35 minus 35 = a remainder of 0 and quotient of 267. Answer: 133.5 divided by 5 = 267.
What was Jason’s error?
Jason did not multiply correctly.
Jason should have moved the decimal before dividing.
Jason did not put the correct decimal in the quotient.
Jason did not make an error.
Answers
Answer:
Hi there! The answer is C
Step-by-step explanation:
I did it on edge 2020! have a nice day!
Answer:
yo
Step-by-step explanation:
C on edgenuinity
Need answer ASAP AND Please
Answers
Answer:
The answer is D
hope this helped :)
Answer:
A because X<-2
Step-by-step explanation:
You subtract 6, then you divide the result which is 6 by -3, which will give you -2. And you go in the direction that the <or> is pointing
I need help with this
Answers
Answer:
Step-by-step explanation:
b+3b-3b²-2a
(4)+3(4)-3(4)²-2(2)
4+12-48-4
-36
Together, teammates Pedro and Ricky got 2675 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each player have?
Answers
Answer:
1199 for ricky, 1476 for Pedro
Step-by-step explanation:
2675-277=2398
2398 / 2 = 1199
each player had 1199 bases, pedro however, had 277 more bases than ricky
1199 + 277 = 1476
By solving a system of equations, we conclude that Ricky has 1,199 base hits, and Pedro has 1,476 base hits.
How many hits did each player have?Let's define the variables:
P = base hits of Pedro last season.R = base hits of Ricky last season.Then we have that the total number of base hits last season is 2675, so we have:
P + R = 2675
We also know that Pedro has 277 more hits than Ricky, then:
P = 277 + R
To solve these equations, we can replace the second equation into the first one:
P + R = 2675
(277 + R) + R = 2675
2*R = 2675 - 277 = 2,398
R = 2,398/2 = 1,199
So we conclude that Ricky has 1,199 base hits, and Pedro has 1,476 base hits.
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help ................
Answers
Solve the following proportion: x+3/2 equal to 7/8
Answers
Step-by-step explanation:
x+ 3/2 = 7/8
3/2 is equivalent to the fraction 12/8
Since the two fractions have common denominators, you can do.
x= 7/8 - 12/8
x=(-5/8)
Hope this helps!!!
Answer:
x = -0.625
Step-by-step explanation:
x+3/2 = 7/8
x + 1.50 = 0.875
x = -0.625
What is _=9x5 ......................
Answers
Answer:
45
Step-by-step explanation:
I need help with a math problem
Answers
Answer:
0
Step-by-step explanation:
e(2)=0
Anything times 0 = 0, we know that x is 2 so E has to be 0.
(12x+2) what is the answer
Answers
Answer:
26
Step-by-step explanation:
Answer: If you are wanting the expression factored the answer would be 2(6x+1)
Need answer for this IXL
Answers
Answer:
Answer is 6
Step-by-step explanation:
Answer:
yz=6
Step-by-step explanation:
y=3
x=2
yz= (3)(2)
yz=6
10.Mr. Vickers earns a 7.5% commission on his total sales. Last month, he had sales of
$54,620. How much commission did Mr. Vickers earn last month?
Answers
Answer:
4096.50, 4,096.50, $4,096.50, or $4096.5
Step-by-step explanation:
4096.5 percentage is the commission did Mr. Vickers earn last month.
Percentage:A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.Percentage formula = (Value/Total value) × 10
Example: 2/5 × 100 = 0.4 × 100 = 40 per cent
Based on the given conditions, formulate: 7.5% × 54620
Calculate the product or quotient: 4096.5
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POINTS AND BRAINLIEST!
Give me an equation of 2 thirds
Answers
An example would be 1 7/9 times 3/8 would equal 2/3.
Find the slope passing through A (2,2) and B (5,3)
Answers
Write an equation five times the difference of n less equals 12
Answers
Answer:
Step-by-step explanation:
Ten more than x x + 10
A number added to 5 5 + x
A number increased by 13 x + 13
5 less than 10 10 - 5
A number decreased by 7 x - 7
Difference between x and 3 x - 3
Difference between 3 and x 3 - x
Twice a number 2x
Ten percent of x 0.10x
Ten times x 10x
Quotient of x and 3 x/3
Quotient of 3 and x 3/x
Five is three more than a
number
5 = x + 3
The product of 2 times a
number is 10
2x = 10
One half a number is 10 x/2 = 10
Five times the sum of x and 2 5(x + 2)
Seven is greater than x 7 > x
Five times the difference of a
number and 4
5(x - 4)
Ten subtracted from 10 times a
number is
that number plus 5
10x - 10 = x
+ 5
The sum of 5x and 10 is equal
to the product of x and 15
5x + 10 =
15x
The sum of two consecutive
integers
(x) + (x + 1)
The sum of two consecutive
even integers
(x) + (x + 2)
The sum of two consecutive odd
integers
(x) + (x + 2)
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. Let x = the number of short sleeved shirts and let y = the number of long sleeve shirts.
Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order?
Answers
Answer:
15 long-sleeved shirts can be ordered.
Step-by-step explanation:
x = amount of short-sleeved.
y = amount of long-sleeved.
10x + 12y = 300
10(12) + 12y = 300
120 + 12y = 300
12y = 300 - 120
12y = 180
y = 180 / 12
y = 15
10
The graph of a linear function is shown below.
10
B
6
2
10
8
I
-105
What is the slope of the line represented by the graph?
m=
G
m =
3
H
m - 3
3
m = -3
Answers
-EXPLANATION-
Slope=rise over run(rise/run)
I used the points (-1,-6) and (2,3)
To solve you will use this formula: m=y₂−y₁/x₂−x₁
3=y2
2=y1
-6=x2
-1=x1
——————-
Set it up like so:
3- -6/2- -1
3- (-6)= 9
2- (-1)=3
9/3
9 divided by 3 is 3, making your slope(m) 3
1.Calculate the Interest Rate
Interest: $38.88
Principal: $72
Time: 3 years
a. 18
b. 19.2%
c. 24%
d. 26.1%
Answers
Answer:
a. 18%
Step-by-step explanation:
Interest: $38.88
Principal: $72
Time: 3 years
Interest rate = x
72*3x = 38.88216x = 38.88x = 38.88/216x = 0.18 = 18%Correct choice is a. 18%
HELP FAST!!! PLZ I BEG YOU!! I'LL GIVE BRAINLYEST!!! 10 POINTS!!! PLZ!!!
A thrift shop kept a record of how much it spent on CDs every year starting in 2008. Which statement BEST describes the information given in the scatter-plot?
(THEY NEVER GAVE ME A PICTURE!!!!)
A. The thrift shop is decreasing its spending on CDs by about $500 per year
B. The cost of CDs has been decreasing for the past five years.
C. The thrift shop is spending about 50% less on CDs each year.
D. The thrift shop is increasing its spending on CDs by about $500 per year.
Answers
Answer:
I think it is A
Step-by-step explanation:
i am hop i am helpful
Which statement represents the given algebraic expression?
\large -3n-17
a
Seventeen less than three times a number
b
Negative three minus seventeen
c
A number less than seventeen is negative three
d-Negative three of a number decreased by seventeen
Answers
Evaluate x+y when x=−4\5 and y=1\3. Write your answer as a fraction or mixed number in simplest form.
Answers
Answer:
When x=−4\5 and y=1\3 we get x+y = -7/15
Step-by-step explanation:
We are given :
x=−4\5 and y=1\3
We need to evaluate : x+y
Solving:
[tex]x+y\\=-\frac{4}{5}+\frac{1}{3}[/tex]
Taking LCM of denominators 5 and 3, we get 15
[tex]=\frac{-4*3+1*5}{15}\\=\frac{-12+5}{15}\\=\frac{-7}{15}[/tex]
So, when x=−4\5 and y=1\3 we get x+y = -7/15
Billys empolyer for 65% of his annual health insurance permiu. Billy has the rest deducted equal amounts from his paycheck. If Billy has $105.73 withheld from his paychecks twice each month, how much dose his employrt contribute twards his health insuranceon an annual basis.
Answers
Answer:
His employer contributes with $4712.53 towards his health insurance on an annual basis.
Step-by-step explanation:
With the information provided, you know that Billy's employer pays 65% of his health insurance premium and you can subtract this from 100% to know the percentage that Billy has to pay:
100%-65%=35%
Also, the information states that Billy has $105.73 withheld from his paychecks twice each month and you can multiply this for 24 to find the total amount that he pays per year and that represents 35%:
$105.73*24=$2537.52
Finally, you can use a rule of three to found the amount that represents 65% which would be what his employer pays given that $2537.52 represent 35%:
2537.52 → 35%
x ← 65%
x=(2537.52*65)/35
x=$4712.53
According to this, the answer is that his employer contributes with $4712.53 towards his health insurance on an annual basis.
Audrey deposits $100 in her account. Then she makes two withdrawals, one for $38 and the other for $70. How much money does Audrey have in her account?
Answers
Answer:
$-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation: because deposit means she puts in money and withdrawl means take out money
Brett is working at Subway to help pay for his college tuition. Johnny is getting paid $8.75 an hour. The manager of the Subway asked Johnny to work nights. If Johnny agreed, the manager would give him a bonus of $125 a week. Johnny is trying to figure out how much he would make if he worked between 30 - 35 hours a week and took the night shift. Find the reasonable domain and range. Create a relation, mapping diagram and table.
Answers
Answer:
Between $387.50 - $431.25 a week
Step-by-step explanation:
8.75x30 = 262.50
262.50+125 = 387.50
8.75x35 = 306.25
306.25+125 = 431.25
HE:LPPPPPPPPPPPPPPP I GOT MORE SO CHECK MY PROFILE
Answers
Answer:
21000
Step-by-step explanation:
To find estimate, round all the values to the nearest thousands
5,789 is 6000
8,356 is 8000
6,561 is 7,000
add.
6000+8000+7000
21000
Answer:
21,000
Step-by-step explanation:
Round each number:
5,789 → 6,0008,356 → 8,0006,561 → 7,000Add the rounded numbers:
6,000 + 8,000 + 7,000 = 21,000I hope this helps!
A refrigerator costs $799. If the tax is 6.5%, the additional amount of money necessary to purchase the refrigerator is $51.94
True or false
Answers
Answer:
True
Step-by-step explanation:
6.5 x 799 divide 100 = 51.935 = 51.94
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
