Answers
Answer:
Step-by-step explanation:
7x - 42 + 5x = 180 {linear pair}
7x + 5x - 42 = 180 {Combine like terms}
12x - 42 =180
12x = 180 + 42
12x = 222
x = 222/12
x = 18.5
5x = 5*18.5 = 92.5
7x - 42 = 7*18.5 - 42 = 129.5 - 42 = 87.5
Related Questions
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$530, 6%, 1 year
Answers
The simple interest earned on $530 at 5.5% rate for 1 years is $31.80.
How to calculate simple interest?The formula for simple interest is expressed mathematically as;
I = P × r × t
Where I is interest, P is principal, r is interest rate and t is time period.
Given the data in the question;
Principal P = $530Interest rate r = 6%Time period t = 1 yearInterest I = ?First, convert the rate from percent to a decimal form
Rate r = 6%
Rate r = 6/100
Rate r = 0.06
To determine the simple interest earned, plug the given values into the simple interest formula and solve for I.
I = P × r × t
I = $530 × 0.06 × 1
I = $530 × 0.06
I = $31.80
Therefore, the simple interest accumulated after 1 years is $31.80.
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Find the 97th term of the arithmetic sequence 25,29,33
Answers
Formula: an = a1 + (n-1)d
a97 = 25 + (97-1) * 4
a97 = 25 + 384
a97 = 409
The 97th term is 409
If tan x = m, what is sin x in terms of m?
Answers
Answer: m/sqrt(m^2)+1
Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)
sin x = opposite/hypotenuse = m/sqrt(m^2)+1
The value of sin x in terms of m is [tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Trigonometry are identities used to express the sides and angles of a triangle.
According to SOH CAH TOA,
Tan θ = Opposite/Adjacent
Given that tan x = m
Opposite = m
Adjacent = 1
Get the hypotenuse using the pythagoras theorem
Hyp² = Opp² + Adj²
Hyp² = m²+1²
Hyp² = m²+1
Take the square root of both sides
√Hyp² =√m²+1
Hypotenuse = √m²+1
Next is to get sin x:
Sin x = Opposite/Hypotenuse
Sin x = [tex]\frac{m}{\sqrt {m^2+1}}[/tex]
Hence the value of sin x in terms of m is
[tex]\frac{m}{\sqrt {m^2+1}}[/tex]
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pls help ASAP will give brainlist
Answers
Answer:
The length of each side of the base must be 6.
Step-by-step explanation:
Total volume = 396
Volume = Length x width x height
We know height = 11
So,
11 x Length x Width = 396
396 / 11 = 36
Length x Width = 36
This is a square prism so all sides of base are equal.
Length = 6
Width = 6
And therefore all the other sides of the base are also 6.
The strength of magnetic field inside a
long current carrying straight solenoid is
Answers
Answer:
Sorry i have forgotten about this, sorry i couldn't answer this
Yoona gives guitar lessons for 70$ per session. She gives a 10% discount to students who come to her studio for her lessons.
How much does one of yoonas guitar lessons cost after the discount?
Answers
Answer:
$63
Step-by-step explanation:
70 x 10% = 7
70 - 7 = 63
Answer:
63
Step-by-step explanation:
A recipe that serves four calls 2 1/4 cups of butter. How many cups of butter are needed to serve 12
Answers
Answer:
6 3/4 cups.
Step-by-step explanation:
If 2 1/4 cups serves 4, you need to serve 12 so you would multiply the amount of butter by 3 and get 6 3/4 cups of butter.
The Hu family goes out for lunch, and the price of the meal is $42. The sales tax on the
meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the
total cost of the meal?
Answers
Answer:
The total cost of the meal was $52.92.
Step-by-step explanation:
Find the amount of tax:
[tex]42 * 0.06 = 2.52[/tex]Find the amount of tip:
[tex]42 * 0.20 = 8.4[/tex]Add the cost of the meal, tax and tip to find total cost:
[tex]42 + 2.52 + 8.4 = 52.92[/tex]The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4
Answers
Answer:
Answer: D (3 or 4)
Step-by-step explanation:
one sixth of the students in a school marching band are in the percussion section, the percussion section has 6 students, how many students are in the marching band?
Answers
Answer:
36 students
Step-by-step explanation:
because if 1/6 is 6 students then you have to multiply the 6 by 6
Answer:Idk
Step-by-step explanation:
challenge: if you can answer these you are genius
(4 x 6) x 2 =
8 x (7 x 3) =
(10 x 5) x 8 =
(9 x 2) x 7 =
(6 x 1) x 8 =
(7 x 11) x 2 =
5 x (9 x 6) =
4 x (12 x 3) =
Answers
2) 168
3) 400
4) 126
5) 48
6) 154
7) 270
8) 144
Answer:
1. 48
2. 168
3. 400
4. 126
5. 48
6. 154
7. 270
Which relation is a function?(click all that apply)
Answers
Answer:
Step-by-step explanation:
y=2x+1
y=x^2
The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.
Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!
Answers
Answer:
f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]
Step-by-step explanation:
Using the standard form of the exponential function
y = a [tex]b^{x}[/tex]
To find a and b , substitute ordered pairs from the graph
Using (0, 0.5 ), then
0.5 = a[tex]b^{0}[/tex] [
a = 0.5 , so
y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]
Using (1, 1) , then
1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus
b = 2
f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph
The function n(t) = 825(1.12)t models the number of bacteria, n(t), after t weeks. What does 825 represent?
Answers
Answer: it represents “n” which is the number of bacteria
Step-by-step explanation:
What is the answer to this math problem; 12 5/6x-14x+ 1/6x
Answers
Answer: wyd are you mad at me
Answer: Who are
Step-by-step explanation:
2b-m=5 what is the solution for m
Answers
Answer:
m = -5 + 2b
Step-by-step explanation:
2b - m = 5
-2b -2b
-m = 5 - 2b
-1 -1
5 ÷ -1 = 5
-2b ÷ -1 = 2b
m = -5 + 2b
Solve the problem. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $16.25. Another customer buys 5 hot dogs and 4 bags of potato chips for $19.50. Find the cost of each item.
A. $2.75 for a hot dog; $2.00 for a bag of potato chips
B.$2.50 for a hot dog; $1.75 for a bag of potato chips
C.$2.50 for a hot dog: $2.00 fora bag of potato chips
D. $1.75 for a hot dog; $2.50 for a bag of potato chips
Answers
Answer
ok the answer is C
Step-by-step explanation:
1.75*4=7
.75*2=1.5
7+1.5=8.50
What is the estimated product?
86 × 32
Answers
Answer:
2,752
Step-by-step explanation:
86x32 = 2752
Product: It means to multiply.
Answer:
I believe the estimated product is 2749
Make x the subject a=bx+c
Answers
Answer: [tex]x=\frac{a-c}{b}[/tex]
Step-by-step explanation:
Answer:
x = [tex]\frac{a-c}{b}[/tex]
Step-by-step explanation:
Given
a = bx + c ( subtract c from both sides )
a - c = bx ( isolate x by dividing both sides by b )
[tex]\frac{a-c}{b}[/tex] = x
Delta owns a D.C. 10 airplane that has seats for 318 people. The company flies this airplane only if there are at least 96 people on the plane. Write a compound inequality to show the possible number of people on a Delta flight. Let n represent the amount of people.
Answers
Answer: n greater than or equal to 96 or n is greater than or less than 318
Step-by-step explanation:
Brainliest plz
Write an expression that represents the given statements (use N to represent “a number”):
a) Two times a number plus three
b) Four less than a number
c) A number minus 5, then multiplied by 6
Answers
b) n - 4
c) (n - 5) 6
32x+8+5=113 2x+8 +5=11 simplify in radical form
Answers
Answer:
The answer is in the picture below
Step-by-step explanation:
Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'C'D'. If = 6, what is the scale factor of the dilation? A. 6 B. 3 C. 2 D. E. 4
Answers
Answer:
A.
Step-by-step explanation:
Answer:
Answer is C. (2)
for PLATO
Step-by-step explanation:
A'B' = 2 * AB
Therefore, the dilation factor is 2.
6. $15 lunch: 20% tip
Answers
A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.
Answers
Answer: Plant A and plant B will be the same height at the end of week 12.
Step-by-step explanation: You don't care about this
Which table of ordered pairs represents a proportional relationship?
Answers
we need to see the picture to know which table
Answer:
Insert the table
Step-by-step explanation:
There is no table above
What is the slope of a line that is perpendicular to a line that has a slope of -7
Please help ya girl out :))
Answers
The slope of a perpendicular line will be the opposite of the first slope given. So since the first slope is -7 then we make the negative positive and flip the numerator and denominator. So -7/1 will be 1/7
In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to and that is the shortest distance from A to CE because of the shortest distance theorem. Therefore, BC > BE and AC > AE. Next, add the inequalities: BC + AC > BE + AE. Then, BE + AE = BA because of the . Therefore, BC + AC > BA by substitution.
Answers
Answer:
CE..AE...Segment addition postulate
Step-by-step explanation:
i got these answers from the quiz
Answer:
1.A
2.C
3.A
Step-by-step explanation:
Edgen2020
The Lugar family spends spring break camping. The campground charges a $5 entrance fee plus $10 per night to camp in the park. Which of the following graphs best represents the relationship between the number of nights the Lugar family camps and the cost?
Answers
Answer:
(0,5) , (1,15) , (2,25) , (3,35) , (4,45) {the cords for the answer because it might be different for you. Also this is not a straight line they are dots.
Step-by-step explanation:
For one night, you have to pay $5 for an entry fee, and $10 for a night. Which means its $15 for one night. This increases every night.
what is 5 1/6 - 7 1/3
Answers
Answer:
-13/6 or -2 and 1/6 or -2.16
Step-by-step explanation:
The solution of expression in mixed fraction form is,
⇒ 2 1/6
We have to simplify the expression,
⇒ 5 1/6 - 7 1/3
Firstly we can change it into improper fraction,
⇒ 5 1/6 - 7 1/3
⇒ 31/6 - 22/3
Make denominator same by taking LCM of 6 and 3 which is 6,
⇒ 31/6 - 44/6
⇒ (31 - 44) / 6
⇒ 13/6
⇒ 2 1/6
Therefore, The solution of expression in mixed fraction form is,
⇒ 2 1/6
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