Answer:
x = 2/3
Step-by-step explanation:
5x + 3 - 2x = 5
3x = 5-3
3x = 2
x = 2/3
give brainliest please!
hope this helps :)
A triangle has side lengths 12 centimeters and b. The hypotenuse is 15 centimeters.
What is the unknown leg length?
Pythagorean theorem:a2+b2=c2
122+b2 = 152
144 + b2 = 225
b2 = 81
Answer:
b = 9
Step-by-step explanation:
All the steps are correct. This final step in finding the value of "b" is to take the square root of both sides. This gets rid of the power that "b" is raised to. Once you do this, you are just left with the variable and the answer of 9.
b² = 81
√b² =√81
b = 9
In a cafeteria there is one large 10 seat table
Suppose you drive an average of 15,000 miles per year, and your car gets 24 miles per gallon. Suppose gasoline costs $3.20 a gallon. a. How much money do you spend each year on gasoline? b. You plan to trade in your car for one that gets x more miles per gallon. Write an expression to represent the new yearly cost of gasoline. c. Write an expression to represent your total savings on gasoline per year. d. Suppose you can save $600 a year with the new car. How many miles per gallon does the new car get?
Answer:
a) $2000
b) 15000(3.20)/(24+x) = new gasoline cost (replace with variable of your choice)
c) 2000-(15000(3.20)/(24+x)) = money saved (replace with variable)
d) ~34.29 miles (34.28571 miles)
Step-by-step explanation:
a) [15000(3.20)]/24 = 2000
b) use the formula above, but the denominator is 24+x (or variable of your choice) because the amount of mpg is increased
c) take the formula from a, then subtract formula in b from it
d) take formula c, replace the variable (variable = money saved) with 600
I need to get this done quick and I'm tired so plx help me
Answer:
6 cups
Step-by-step explanation:
hope this helps!
New Zealand consists of hundreds of islands. Most of the population lives on the North Island, which has an area of 1.14x105 square kilometers, and the South Island, which has an area of 151,000 square kilometers.
· Which island has a greater area? How many square kilometers greater is it? Express your answer in scientific notation.
· The population of the North Island and South Island combined is about 4.8 x 106. Find the approximate population density in people per square kilometer, rounded to the nearest unit. Explain your steps
Answer:
151,000
Step-by-step explanation:
1.14×105=119.7
151,000
Hi please answer fast worth 98 points
Answer:
congruent.
Step-by-step explanation:
each side and each angle in one polygon is paired with a side or angle in the second polygon .
hope this helps
For what values of x and y is quadrilateral ABCD a parallelogram?
Answer:
x = 6 y = 4Step-by-step explanation:
AB = DC
AD = BC
we use AB and DC
6x - 26 = 8x - 38
-26 + 38 = 8x - 6x
12 = 2x
x = 12 : 2
x = 6
---------------
check
6 * 6 - 26 = 8 * 6 - 38
36 - 26 = 48 - 38
10 = 10
the answer is good
now we use AD and BC
6y + 12 = 3x + 24
-3x + 6y - 12 = 0
3y - 12 = 0
3y = 12
y = 12 : 3
y = 4
----------------------
check
6 * 4 + 12 = 3 * 6 + 24
24 + 12 = 12 + 24
36 = 36
the answer is good
Using a volume of 20000 and an angle of 10 can you find the base and height of a right triangular prism
Answer:
No, I don't think so....
Step-by-step explanation:
Volume = 1/2 * Base * Height * Length
Height = Base * tan 10
The underlined items you have,but there is still 2 unknowns and only one equation to solve them <===== so I think you need one more piece of the puzzle to solve.... either the base or the length of the prism.
Can someone please help me witht his question (i will give brainliest)
Answer:
n = 3
Step-by-step explanation:
there are 80 people in choir
half are women , that is 40
quarter of number of women are men , that is 10
number of children = 80 - 40 - 10 = 80 - 50 = 30
number of children : number of men = 30 : 10 ( divide both parts by 10 )
children : men = 30 : 10 = 3 : 1 ← in simplest form
with n = 3
Answer:
30
Step-by-step explanation:
=> number of people in the choir = 80
=> number of women in the choir = half the total people = 80/2 = 40
=> number of men in the choir = one quarter of the number of women =
(1/4)*40 = 40/4 = 10
=> for the number of children,
we subtract the sum of number of men and women from the total
people = 80 - (40+10) = 80 - 50 = 30
number of children = 30
hope this helps :)
PLEASE ASAPPP 50 POINTS
Answer:
A,B,C,J,K,M
A=B,L is parallel to K
C=J
i rlly need helpp due in 2 dayssss
Answer:
84 R4
Step-by-step explanation:
Answer:
84 R4
Step-by-step explanation:
[tex]9\sqrt{760}[/tex]
multiply 9 by each answer choice then pick the one that makes sense
9×84= 756 9×83=747 9×85=765
756+4= 750 747+3= 750
A unit circle has angle θ
in standard position. Point P is on the unit circle at the coordinates ( 2√2, 2√2)
.
What is the angle in degrees?
[tex]P=(\stackrel{\stackrel{x}{adjacent}}{2\sqrt{2}}~~,~~\stackrel{\stackrel{y}{opposite}}{2\sqrt{2}}) \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{2\sqrt{2}}}{\underset{adjacent}{2\sqrt{2}}}\implies \theta =tan^{-1}\left( \cfrac{2\sqrt{2}}{2\sqrt{2}} \right)\implies \theta =tan^{-1}(1)\implies \theta =45^o[/tex]
Make sure your calculator is in Degree mode.
Evaluate. Write your answer as a whole number or as a simplified fraction.
12-².4³ =
Submit
[tex]12^{-2} \times 4^3\\\\=(4 \times 3)^{-2} \times 4^3\\\\=4^{-2} \times 4^3 \times 3^{-2}\\\\=4^{-2+3} \times 3^{-2}\\\\=4^1 \times \dfrac1{3^2}\\\\=\dfrac 49[/tex]
Solve for the x in the inequality 6(2−6x)≤4−35x 6 ( 2 − 6 x ) ≤ 4 − 35 x .
Answer:
8 ≤ x
Step-by-step explanation:
6(2 − 6x) ≤ 4 − 35x
Expand bracket;
12 - 36x ≤ 4 − 35x
Add 36x to both sides to get;
12 ≤ 4 + x
Subtract 4 from both sides to get;
8 ≤ x
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to solve the inequality 6(2-6x)≤4-35x.
[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]
[tex]\star[/tex] We need to get x all by itself.First, we can use the distributive property and distribute 6:
[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]
Now, add 35x to both sides:
[tex]\star\large\pmb{12-x\leq 4}[/tex]
And now, subtract 12 from both sides:
[tex]\star\large\pmb{-x\leq-8}[/tex]
Divide both sides by -1 and watch what happens:
[tex]\star\large\pmb{x\geq 8}[/tex]
Have you noticed that the inequality sign changed from "less than" to "greater than"?
Well, that happened because we divided both sides by a negative number, -1.
Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]
Hope this helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]
Which choices are equivalent to the exponential expression below? Check all
that apply.
□A.0.0
OB. 25
O C. 125
OD. 195
E. 3.
53
33
5/3
OF.
ი|ო
The expression equivalent to this sentence expression is (5/3) . (5/3) . (5/3). Letter A
.
We know that a power is a multiplication of equal factors - according to the exponent.
A power is represented by aⁿ, where: 'a' indicates base and 'n' indicates exponent.
To represent this expression in multiplication, let's just:
repeat the expression three times (according to its exponent). Resolution[tex] \large \sf ( \dfrac{5}{3} ) {}^{3} [/tex]
[tex] \blue { \boxed{ \large \sf \dfrac{5}{3} \times \dfrac{5}{3} \times \dfrac{5}{3} }} \\ [/tex]
So, the answer correct is (5/3) . (5/3) . (5/3).
last week, 4/5 of the students in Mr. Zanker's class went on a field trip. 9/10 of the students in Mr. Haynes's went. What is the average fraction of students in the two classes who went on the field trip?
The average fraction of the students in the two classes is 17/20.
What is a fraction?A fraction is a ratio of two integers called the numerator and denominator.
Analysis:
sum of the fraction of both students in the two classes = 4/5 + 9/10 =
LCM of the denominators which are 5 and 10 is 10
so the sum of both fractions = 8/10 + 9/10 = 17/10
The average = 17/10 /2 = 17/10 x 2 = 17/20
In conclusion, the average of the fraction of students on both classes is 17/20.
Learn more about fractions: brainly.com/question/78672
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In a shoe store window, Sandy sees a sign announcing 25% off all sandals in stock. She finds a pair she likes that was originally priced at $45. If Sandy buys this pair of sandals on sale, how much will she pay
Answer:
$11.12
Step-by-step explanation:
Since the sale is 25% and the shoe was originally priced at $45; you can find the price of the sandal on sale by knowing that 25% means 1/4, so you can just find 1/4 of 45 which is 11.12. 45 * 1/4
Answer:
C. $33.75
Step-by-step explanation:
I took the test
The tables show the battery lives (in hours) of two brands of laptops. Which brand's battery lives are more spread out? Explain
PLEASE HELP I NEED HELP BADDD PLS CORRECT ANSWERS ONLY
Answer:
Hi,
Step-by-step explanation:
Answer B : 51
1+4+7+10+13+16=51
How can this subtraction problem be solved using friendly numbers?
57−38
Enter your answers in the boxes.
Step 1: Use a friendly number for the subtrahend: 38 +
= 40
Step 2: Adjust the minuend: 57 +
=
Step 3: Subtract: The difference is
.
So, 57−38 =
.
Answer:
Because the part is missing, this is a subtraction problem. Example: There are 98 hats, 20 of them are pink and the rest are yellow.
Step-by-step explanation:
Combine the radicals 4√7+3√28.
Answer:
10√7
Step-by-step explanation:
[tex]4 \sqrt{7} + 3 \times 2 \sqrt{7} \\ 4 \sqrt{7} + 6 \sqrt{7} \\ 10 \sqrt{7} [/tex]
Answer:
10√7
Step-by-step explanation:
To combine the radicals, you must have the same number under both radicands. Luckily, you can simplify one of the radicands. This is done by separating the radicand (√28) into its common factors (√4 x √7) and taking the square root of one of the factors (√4 = 2).
4√7 + 3√28 <---- Original expression
4√7 + 3(√4 x √7) <---- Expand √28
4√7 + (3 x 2)√7 <----- Take √4
4√7 + 6√7 <---- Multiply coefficients
10√7 <---- Add both terms
Evaluate:
[tex]\bf{\sum^6_{n=0\:}(3)^n}[/tex]
Need help A.S.A.P., thank you! :)
Answer:
1093
Explanation:
Given expression:
[tex]\sf \huge{ \sum _{n=0}^6\left(3\right)^n}[/tex]Summation:
[tex]\sf a_0+\sum _{n=1}^63^n[/tex]Formula:
[tex]\sf \sum\limits_{i=1}^n x_i = x_1 + x_2 + \dots + x_n[/tex]Compute:
[tex]\rightarrow \sf 3^0 + 3^1 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6[/tex]
[tex]\rightarrow \sf 1 + 3 + 9 + 27 + 81 + 243 + 729[/tex]
[tex]\rightarrow \sf 1093[/tex]
Answer:
[tex] \boxed{\rm \: SUM = 1093 }[/tex]
Step-by-step explanation:
Given:
[tex] \huge\rm {{ \sum}^6_{n=0\:} (3)^n}[/tex]
To Find:
Sum of the given finite series
Solution:
We'll use this formula:
[tex] \boxed{\rm SUM = a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)}[/tex]
where,
a = first termr = ratio in between termsLet's find out the ratio R by using this formulae:
[tex] \rm \: r = \cfrac{a_{n + 1} }{a_n}[/tex]
According to the question,
[tex]\rm a_n = 3^n[/tex][tex]\rm a_{n+1}= 3^{n+1}[/tex]Substitute:
[tex] \rm \: r = \cfrac{3 {}^{n + 1} }{3 {}^{n} } [/tex]
Apply law of exponents:[a^m/a^n] = a^m-n
[tex] \rm \: r = {3}^{n + 1 - n} [/tex]
Rearrange it as:
[tex] \rm \: r = 3 {}^{n - n + 1} [/tex]
[tex] \rm \: r = 3 {}^{1} = 3[/tex]
So,the ratio R is 3.
Now let's find out the First term A.
To find, substitute the value of n in 3^n:
[It is given that n = 0][tex] \rm \: a = 3 {}^{0} [/tex]
[x^0 = 1][tex] \rm \: a = 1[/tex]
Hence, first term A is 1.
NOW Substitute the value of the first term A and ratio R onto the formulae of sum:
[tex] \rm \: a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)[/tex]
a = 1r = 3n = 7Simplify.
[tex] \rm SUM = \rm \: 1 \times \cfrac{1 - 3 {}^{7} }{ 1 - 1 \times 3} [/tex]
[tex] \rm \: SUM = \cfrac{ - 2186}{1 - 3} [/tex]
[tex] \rm \: SUM = \cfrac{ \cancel{ - 2186} \: \: {}^{1093} }{ \cancel{ - 2} \: \: ^{1} } [/tex]
[tex] \rm \: SUM = 1093[/tex]
We're done!
Hence, the sum of the given Finite series is 1093.
[tex] \rule{225pt}{2pt}[/tex]
Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
x = 2
y = -1
Step-by-step explanation:
You can add together the equations so the x term cancels out:
-3x + 5y = -11
+ (3x + 7y = -1)
The -3x and 3x cancel out, 5y and 7y add to 12y, and -11 and -1 add to -12:
12y = -12
Divide by 12 on both sides to get
y = -1
We can substitute this value into one of the equations to solve for x:
3x + 7y = -1
3x +7(-1) = -1
3x - 7 = -1
3x = 6
x = 2
What is the equation of a line with a slope of -3 and a y-intercept of 4?
A. y= 4x+3
B. y= 4x-3
C. y=-3x-4
D. y=-3x+4
Answer:
y = -3x+4
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = -3x+4
Step-by-step explanation:
We have,
Slope (m) = -3y-intercept (c) = 4We know that,
y = mx+c
y = -3x+4
Hence, option (D) is correct.
The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)
Answer:
3,1
....................................
What is the volume of the three-dimensional object formed by continuously rotating the right triangle around line segment AC
The volume of the three-dimensional object (cone) formed is equal to 32π cubic units.
How to determine the volume of the three-dimensional object?In this scenario, the effect of rotating the right triangle around line segment AB would form a three-dimensional object known as a cone, with the following dimensions:
Radius, r = 4 units.Height, h = 6 units.How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Substituting the given parameters into the formula, we have;
V = 1/3 × π × 4² × 6
V = π × 16 × 2
V = 32π cubic units.
Read more on cone here: https://brainly.com/question/1082469
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Complete Question:
In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around line segment AB?
(1) 32π
(2) 48π
(3) 96π
(4) 144π
a student is asked to solve the equation below and to justify her steps identify what if anything is incorrect in her math or justification j-6=-10
Answer:
B
Step-by-step explanation:
Which term describes the set of all possible output values for a function
Answer:
range
Step-by-step explanation:
,domain describes the input values and range describes the output
determine the period of each function
Answer: hmmm, all i could say it is 2,2 function, you have to calculete the other parts yourself.
Step-by-step explanation:
Set A= 1, 3, 4, 5, 9, 10, 11
Set B= 2, 4, 6, 7, 11, 12
What is the union of sets A and B?
Answer:
1 ,2,3,4,5,6,7,9,10,11,12 is the union
Answer:
A U B = {1,2,3,4,5,6,7,9,10,11,12}
Step-by-step explanation:
Union of sets is a set containing all elements that are in A or B.
A = {1,3,4,5,9,10,11}
B= {2,4,6,7,11,12}
A U B = {1,2,3,4,5,6,7,9,10,11,12}