Answer:
104
Step-by-step explanation:
∠JTS = ∠SRT + ∠TSR {exterior angles equals sum of opposite interiror angles}
27x - 4 = 18x + 2 + 30
27x - 4 = 18x + 32
Add 4 to both sides
27x = 18x + 32 + 4
27x = 18x + 36
Subtract 18x from both sides
27x - 18x = 36
9x = 36
Divide both sides by 9
x = 36/9
x = 4
∠JTS = 27x - 4
= 27*4 - 4
= 108 - 4
= 104
The basketball team practices 3 and 1/4 hours on Monday and practiced 2 and 1/3 hours on Tuesday. How many hours has the team practiced so far this week?
Answer:
5 7/12
Step-by-step explanation:
3 1/4 + 2 1/3
Multiply the fractions by a number in order to have the same denominator. ( in this case 12)
3 3/12 + 2 4/12
Add straight across
5 7/12
Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21
Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
___________________________________________
[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]
Please help me !!!!!!!!!!!!!!
Which number is a perfect square? 68 145 169 56
Answer:
169 I think?
Step-by-step explanation:
if you look at images of number rows 169 is the only one in it with the others
If l || m, find the value of each missing variable(s).
What is the greatest common factor 3x^4, 15x^3 ,21x^2
Answer: 3x^2
Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.
30% of the swimming team are girls. If there are 18 girls. How many are in the team
altogether?
Answer:
60 people are in the team altogether
Answer:
60
Step-by-step explanation:
to find the percentage of girls on the swim team, you would multiply a number by 30 percent. to find the number in all, you would divide 18 by 30 percent
18/0.3 = 60
there are sixty people on the swimming team
i don't understand this question can someone help me with this please, please explain!!
Answer:
13.5%
Step-by-step explanation:
Help please help please help please help please help please help please help please help please help please help please
Answer:
a^(4/15)
Step-by-step explanation:
rules of indices:
WHEN MULTIPLYING POWERS WITH THE SAME BASE YOU ADD THE POWERS
a^(1/5) × a^(2/3) = a^(1/5 + 2/3)
a^(13/15)
WHEN DIVIDING POWERS WITH THE SAME BASE YOU SUBTRACT THE POWERS
a^(13/15) / a^(3/5) = a^(13/15 - 3/5)
a^(4/15)
NOTE: YOU HAVE TO FOLLOW BODMAS RULE IN THE QUESTION.. AND PLEASE LOOK OUT FOR THE POWERS WITH THE SAME BASE. IF BASE IS DIFFERENT YOU CANNOT SIMPLIFY...
The value of nCn - 1 + nCn - 2 is
(a) n/2
(b) n(n + 1)/2
(c) n(n-1)/2
(d) (n + 1)²/2
Step-by-step explanation:
We have,
[tex]\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}[/tex]
[tex]\displaystyle\sf{=n+\dfrac{n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n^2+n}{2}}[/tex]
[tex]\displaystyle\sf{=\dfrac{n(n+1)}{2}}[/tex]
Using the combination formula, it is found that the value of the expression is given by:
(b) n(n + 1)/2
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
[tex]C_{n, n-1} = \frac{n!}{(n-1)!(n - n + 1)!} = \frac{n(n-1)!}{(n-1)!} = n[/tex]
[tex]C_{n, n-2} = \frac{n!}{(n-2)!(n - n + 2)!} = \frac{n(n-1)(n-2)!}{(n-2)!2!} = \frac{n(n-1)}{2}[/tex]
Then, adding these values:
[tex]n + \frac{n(n-1)}{2} = \frac{2n + n^2 - n}{2} = \frac{n(n + 1)}{2}[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.About how many pancakes can the restaurant make in two hours?
Answer:
198 pancakes.
Step-by-step explanation:
Answer:
198
Step-by-step explanation:
Which equation is represented by the graph below
Answer:
y=ex+4 ok hope you get it right
Can someone help me with number 4?
8x2 – 24 = ?
Choose 1 answer:
A 8(22 – 3)
B.
8x (x2 – 3)
8(x – 3)
8x(x – 3)
8x² - 24 = 8 (x² - 3)
The monthly cost of a certain texting plan is given by the function C(n)= 0.06n +9.95, where C(n) is in dollars and n is the
number of texts sent in a month. Find and interpret C(90)
Monthly Cost of Texting Plan
Ac(n)
Answer:
C(90) = 15.35
Step-by-step explanation:
Given the function, C(n) = 0.06n + 9.95:
where C = total cost of texting plan
n = number of texts sent in a month
9.95 = flat fee
To find C(90):
Substitute 90 as the input, n, for the function:
C(90) = 0.06n + 9.95
C(90) = 0.06(90) + 9.95
C(90) = 5.40 + 9.95
C(90) = 15.35
C(90) represents the cost of sending 90 texts in a month is $15.35.
Please mark my answers as the Brainliest if you find my explanations and solutions helpful :)
Please add the answer, i will give brainliest
Answer:
9
Step-by-step explanation:
use percent proportion 50 is 25%
Answer:
By using the formula, Parts /whole = percent/100, ⇒ 25/ 50 × 100 = 50%. So, 50 % of 50 is 25 proportion.
A car that travels 20 miles in 12hour at constant speed is traveling at the same speed as a car that travels 30 miles in 34 hour at a constant speed. Which of these explains or shows why? Select all that apply.Both cars are moving 10 miles in a quarter of an hour, so they are at the same speed.Both cars are moving a multiple of 10 miles.Both cars can travel 40 miles in an hour, so they are traveling at the same speed.Both cars have moved for less than an hour, so they are traveling at the same speed.
Answer:
wait I will give the answer in 2 minutes
Step-by-step explanation
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
Really need help.
Answer:A
Step-by-step explanation:
$10.00/8 slices is this a unit rate .
Answer:
No
Step-by-step explanation:
Unit rate consists of at least one 1. the unit rate for this would be 1 slice for $1.25
please mark brainliest
A Rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping? (Hint: finds the constant of variation)
2. Write a direct variation equation for problem number 1.
(Please show your work.)
Step-by-step explanation:
1. The rabbit would be hopping at 3 feet per second.
You would first:
1. Divide each sides by 2
This would result into 3 = 1.
2. Given, 6 = 2.
If we said feet (6) = x and 2 (seconds) = y,
x = y or
feet = second (6 = 2).
what are some typical transactions that students are likely to make?
Answer:
Typical transactions include ATM withdrawals, debit card payments, and e-transfers.
Which equation best represents the line graphed above?
Answer: x=2 because for any y value the x value is always 2.
Arrange in order from least to greatest 0 , -1, 1/2, 4/3, 1
Answer:
-1, 0, 1/2, 1, 4/3
Step-by-step explanation:
Hi I need help with this question please 20 points
Answer:
log 4
--------- that's the answer yw
9
Step-by-step explanation:
7/4 as a decimal for my math class, which I am failing at.
Answer:
1.75
Step-by-step explanation:
you divide 7 by 4
7÷4= 1.75
Multiply.
40.631.1.07
0 4.347517
0 43.47517
O 434.7517
0 4347.517
Answer:The answer is 43.47517
Step-by-step explanation:
I did the test and reviewed it
Q3).
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Step-by-step explanation:
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given pair of linear equations are
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]
can be rewritten as on multiply by 10,
[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]
From equation (2)[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]
[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]
On substituting the value of y in equation (1), we get
[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]
[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]
[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]
[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]
[tex]\rm :\longmapsto\:29x = 58[/tex]
[tex]\bf\implies \:x = 2 - - - - (4)[/tex]
On substituting x = 2 in equation (3), we get
[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]
[tex]\bf\implies \:y = 3[/tex]
So, we get
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]
VerificationFrom equation (1),
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]
On substituting the value of x and y, we get
[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]
[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]
[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]
Hence, Verified▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Basic Concept :-To solve systems using Method of Substitution, follow this procedure:
1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.
3. Solve the equation to get the value of this variable
4. Substitute the value found in to first equation involving both variables and solve for the other variable.
What is this property 5+8=8+5
Answer:
this property is commutative property
Answer:
Commutative
Step-by-step explanation:
The graph shows the function f(x) = x^2 in blue and another function g(x) in red. which of the following could the equation for g(x)?
g(x)=1/5x² is the equation for blue graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation of the red quadratic graph is f(x)=x²
This is the parent quadratic function or the base of the quadratic functions.
This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph.
Recall that, when the scale factor is a fraction, such that 0<k<1 the graph is stretched horizontally.
The dilated graph then becomes wider than the parent function.
From the given function equations, the possible value of k can only be k=1/5
Therefore the blue graph has equation g(x)=1/5x²
Hence, g(x)=1/5x² is the equation for blue graph.
To learn more on Graph click:
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