Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
A car has a 16 gallon fuel tank when driving on a highway it has a gas milage of 30 miles per gallon how many miles has a car traveled if it has 2.5 gallons of gas left in the tank
Answer:
The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.
Step-by-step explanation:
16 - 2.5 = 13.5 ( The amount of gas the car has already used )
30 * 13.5 = 405 ( How far the car traveled with 13.5 gallons of gas )
Hope this helps!
For brainily please help
Answer:
FH is the smallest side.
Step-by-step explanation:
This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.
That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.
You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.
So, FH is the smallest.
65% of 51. Please also show me how to do it because I can't.
Answer:
Step-by-step explanation:
65% of 51 = [tex]\dfrac{65}{100}*51[/tex]
= 0.65 *51
= 33.15
[tex]7x^{3} * 7x^{5}*7x^{2}[/tex] ?
[tex] {7x}^{3} . \: {7x}^{5} . {7x}^{2} \\ 343 {x}^{3} {x}^{5} {x}^{2} \\ 343 {x}^{10} \\ [/tex]
[tex]7x^3\cdot 7x^5\cdot 7x^2 =(7)^3\cdot x^{2+3+5} =343x^{ {10}}[/tex]
Find the measure of each numbered angle if m<1=72 and m<3=26.
<2=?
<4=?
Answer:
Step-by-step explanation:
<2=2*1
<4= 2*2
Find the average rate of change of the function from X1 to X2.
Function
f(x) = -7x + 16
x-Values
X1 = 0, X2 = 3
Answer:
75-82, in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3
If (a + b)^2 = a^2 +n + b^2 , what is n?
Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
which statements are true ? —4 < — 1
2 < —4
—4 = 4
— 1 < 4
Answer:
-4<-1 and -1<4
Step-by-step explanation:
Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help
Answer:
No.
Step-by-step explanation:
A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.
Can 5 1/3 be written as a fraction of integers?
5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3
5 1/3 = 16/3
16/3 is in the form a/b, where a and b are integers.
Since 5 1/3 can be written as a fraction of integers, it is rational.
Anna is incorrect.
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8
Help me I don't understand
Answer:
For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8
Type the correct answer in the box.
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create rectangle P'Q'R'S. Complete the rule that describes the coordinates of rectangle P'Q'R'S after the rotation has occurred.
(x',y')=______
Answer:
The answer is = (x',y')=(-x,-y)
Step-by-step explanation:
= (x',y')=(-x,-y)
What is 180 clockwise?
Rectangle PQRS is rotated 180 degrees clockwise about the origin to create triangle P'Q'R. Complete the rule that describes the coordinates of triangle P'Q'R after the rotation has occurred.
Rule of 180° Rotation
If the point (x,y) is rotating about the origin in a 180-degree clockwise direction, then the new position of the point becomes (-x,-y).
Please check the attached file for a detailed answer.
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James wants to buy a new cell phone package. There are three packages available, each offering a different deal.Package 1$160 for 4 monthsPackage 2$128 for 4 monthsPackage 3$60 for 2 monthsWhich package offers the best deal?A.Package 3B.Package 1C.Package 2D.Both Package 1 and Package 2
Answer:
to get which one is the best we have to bring them packages to the same terms
so to do that we have to find what each package offers per month by divided the amount by the number of months
so
160/4= 40
128/4=32
60/2=30
so the best package is
B. package 1
If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???
Answer:
y=3x-4
Step-by-step explanation:
In a church, the ratio of adults to children is 10 to 5. If there are 135 people in the church, how many children are there?
Answer:
45
Step-by-step explanation:
That means in every group of 15, there are 5 children
135 / 15 = 9. So Nine groups of 15. 9 x 5 = 45
Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis
(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis
(Choice D)
D
Neither
Answer:
C) Both (1 , 11) and (-1, -5)
Step-by-step explanation:
y = 8x + 3
Plugin x = 1 and y = 11 in the equation
11 = 8*1 + 3
11 = 8 +3
11 = 11
So, (1 , 11) is a solution.
Plugin x = -1 and y =-5 ,
-5 = 8*(-1) + 3
-5 = -8 + 3
-5 = -5
So, (-1 , -5) is also a solution
ive answered a and b but struggling to answer c. how do you work it out?
Answer:
-2, 1.5
Step-by-step explanation:
(y1 + y2)/2 = y midpoint formula
so, (-1 + 4) = 3
3 / 2 = 1.5
y = 1.5
Step-by-step explanation:
To find the midpoint:
Use the formula;
d = (x2 + x1)/2, (y2 + y1)/2 where x2 = -2, x1 = -2, y1 = -1, y2 = 4
Substitute the values into the equation above. This gives;
d = (-2 + -2)/2, (4 + -1)/2
= (-4/2), (3/2)
=(-2, 1.5) <<<<<<< ✓ Ans
I hope this helps. Thank you
if sin x equal to a/b
what is sin(90-x)
Answer:
[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]
The value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Given that, sinx=a/b.
We know that, sinθ=Opposite/Hypotenuse
Here, Opposite = a and Hypotenuse = b
Let the adjacent side be x.
Here, x=√(b²-a²)
Given that, sin(90°-x) = cosx
Now, cosx=x/b
cosx=√(b²-a²)/b
Therefore, the value equal to the given trigonometric expression sin(90°-x) is √(b²-a²)/b.
Learn more about the trigonometric ratios here:
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Equivalent (-1)+10+9 please
Answer:
18
Step-by-step explanation:
1) Simplify the expression
-1 + 10 + 9
9 + 9
18
A function f(x) is graphed on the coordinate plane at is the function rule in siope-intercept form? Enter your answer in the box f(x) =
9514 1404 393
Answer:
y = 2x +1
Step-by-step explanation:
The line rises 2 units for each 1 unit to the right, so its slope is ...
m = rise/run = 2/1 = 2
The line crosses the y-axis at y = 1, so the y-intercept is ...
b = 1
Then the slope-intercept form equation is ...
y = mx + b . . . . . . . for slope m and y-intercept b
y = 2x + 1 . . . . . . . . fill in the known values
will mark as brainliest if correct, 20 points
Answer:
D. [tex]4\frac{1}{16}[/tex]
Step-by-step explanation:
Substitute the given value into the function and solve.
Herman buys a pair of pants for 39.95 and a few shirts for 19.95 each. Write an equation to represent the total cost of the purchase
Answer:
39.95+(how many shirts times 19.95)
Step-by-step explanation:
Jeremy says that 5.676677666777... is a
rational number because it is a decimal that
goes on forever with a pattern. Is he correct?
Why or why not?
Answer:
he is correct bc the pattern correct
Step-by-step explanation:
Solve using order of operations: 72/8+6/3-4(10)
Answer:
the answer is -29
Step-by-step explanation:
NEED ASAP IT WAS DUE LAST WEEK
1.Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work.
What is the measure of the
third angle of this triangle?
Answer:
20 degrees
Step-by-step explanation:
180-120-40=20
Zach is trying to decide which of three golf
courses is the best. He randomly surveyed
people at a sports store and recorded the
results in the table. Is the sample method
valid? If so, suppose Zach surveyed 150
more people. How many people would be
expected to vote for Rolling Meadows?
Justify your answer.
Answer:
No, the population of people is poorly represented with this low sample size. 150 would better represent the population as a whole. 42 people would want to play on Rolling Meadows. (according to the previous data)
Step-by-step explanation:
Most likely this small sample size is too small to gain sufficient data from the whole population. If he were to survey a larger sample of people, he would overall better represent the population as a whole. The percentage of people who would prefer Rolling Meadows in the first sample was 28% (7/25). So just multiply 150 times .28 and get 42. 42 people would want to play on Rolling Meadows.
Sharel loaded 6 trucks every 16 minutes. At thats rate, how long, in minutes, will it take to load 9 trucks?
express ratio as a fraction in simplest form
a. 10 yards to 10 feet
hint *there are 3 feet in every 1 yard
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
The dimensions must be the same
10 yards = 10 × 3 feet = 30 feet
ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation: