arrange 1/7 4/14 2/3 in ascending order
Answer
Its already in order: 1/7 4/14 2/3
Step-by-step explanation:
Because the common denominator for all three is 42, which turns the fractions to 6/42, 12/42, and 28/42 making it easier to place in order
ANSWER:
1/7,4/14,2/3.......................
Which expression is equivalent to (3x^2 + x + 8) - (x^2- 9)?
Answer:
First one
2x²+x-1
Step-by-step explanation:
3x²-x²=2x²
x
8-9=-1
2x²+x-1
Which is the smallest ratio?
3 to 4 , 23 , 10:12 , 2 to 1
Answer: 2/3 is the smallest ratio.
Step-by-step explanation:
HELPPP!!! Please show work
Step-by-step explanation:
tan a = 9.6/7.2=4/3
a = 53.13
QUESTION IN PIC- 20 POINTS :)
Answer:
CD = 3 -√3
Step-by-step explanation:
The ratio of leg lengths in a 30°-60°-90° triangle is ...
1 : √3 : 2
The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.
AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3
That is ...
AB = √3
BD = 3
__
The lengths of the legs in isosceles right triangle ABC are the same, so ...
BC = AB = √3
Then the length of interest is ...
CD = BD -BC
CD = 3 -√3 . . . . . . . a=3, b=-1
A quadrilateral has vertices at
Answer:
c
Step-by-step explanation:
because you add 3 to -1 and get 2 and you subtract - 4 to 4
Find the probability of getting a prime number from 1 to 10
Step-by-step explanation:
For example, to find the probability that a prime is selected from 1 to 10 requires us to divide the number of primes from 1 to 10 by 10. The numbers 2, 3, 5, 7 are prime,
hope this helps you
please mark me brainliest
what is 4 times b = 14
Answer:
b=3.5
Step-by-step explanation:
Answer:
3.5x-1
Step-by-step explanation:
Solving:
4bx = 14
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Divide each side by '4x'.
b = 3.5x-1
Simplifying
b = 3.5x-1
Martha is making her favorite punch for the school dance. The directions call for 5 cups of water for every ½ cup of punch mix. What is the number of cups of water she will need for 6 cups of punch mix?
Answer:
60
Step-by-step explanation:
5water=1/2punch multiply by 12 to get 6 cups of punch so 5 x 12=60 and 1/2 x 12=6
A line passes through the points (4, 9) and (8, 10). What is its equation in slope-intercept form?
y =?
x + ?
Answer:
Step-by-step explanation:
1) find slope
y2-y1/x2-x1
10-9 divided by 8 - 4
1/4 = slope
1/4 = y
b = y-int
Please help me figure out what’s in the boxes Ill mark brainlyiest
Answer:
(x, y) = (-6, -10)
Step-by-step explanation:
Pick a variable whose coefficient you want to be zero in the sum. Note the two coefficients of that variable in the two equations. Write the second coefficient in the first box, and the opposite of the first coefficient in the second box.
__
If you want to eliminate x-terms, the x-coefficients are -2 and -3. Write -3 in the first box and +2 in the second box.
-3(-2x +2y = -8) ⇒ 6x -6y = 24
+2(-3x +y = 8) ⇒ -6x +2y = 16
Added together, the resulting equation is ...
0x -4y = 40
y = -10 . . . . . . . divide by -4
__
If you want to eliminate y-terms, the y-coefficients are 2 and 1. Write 1 in the first box, and -2 in the second box.
1(-2x +2y = -8) ⇒ -2x +2y = -8
-2(-3x +y = 8) ⇒ 6x -2y = -16
Added together, the resulting equation is ...
4x +0y = -24
x = -6 . . . . . . . . divide by 4
__
Now, you know the solution is (x, y) = (-6, -10).
_____
Additional comment
It does not matter which is the first equation. You can swap the two equations and still achieve the desired results. Also, if the coefficients have a common factor, you can divide that out. As you may have noticed, the arithmetic is a little easier if one of the chosen coefficients is 1 or -1.
If you're combining the equations using addition, as we have done here, then one of the coefficient multipliers must be negated, as we have described. If you're combining the equations using subtraction, then you can preserve the original signs of the coefficients (or change them both).
hi i'm stup*d at math and im not sure :(
Answer:
I think standard form would be best because it is simplest.
Step-by-step explanation:
hope this helps
Answer: Intercept Form
Step-by-step explanation:
There are three methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum. The first way is by using a graph. You can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum. This is especially easy when you have a graphing calculator that can do most of the work for you.
Evaluate
3
(
x
−
1
)
2
if
x
=
4.
9
9
18
18
27
27
45
Answer:
3(x-1) 2 if x=4,99
3(499-1)2
3(4,98)2
14.94 + 2 =16.94
Step-by-step explanation:
Find twe positive even consecutive intecers such
that the square of the smaller integer is 10 more
than the larger integer.
Answer:
The numbers are 4 and 6
Step-by-step explanation:
Let:
x - the smaller even consecutive integer x+2 - the larger even consecutive integerwe know that
[tex]x^{2} =(x+2)+10[/tex]
solve for x
[tex]x^{2} -x-12=0[/tex]
We can use the quadratic formula for quadratics in the form [tex]ax^{2} +bx+c=0[/tex]
[tex]x= \frac{-b(+/-)\sqrt{b^{2} -4ac}}{2a}[/tex]
to give us an answer of 4 and -3
Since the question states positive and even we use 4 and that gives us 6 as the other answer
4 and 6
Answer:
4 and 6
Step-by-step explanation:
x = smaller integer
x+2 = larger integer
x² = 10 + (x + 2)
x² = x + 12
x² - x - 12 = 0
factors are:
(x-4)(x+3) = 0
x-4=0; x = 4
x+3=0; x = -3
Since the question states the numbers are even and positive we use only the 4 and the next consecutive even integer is 6
The Bake Stars need to arrange 718 pupcakes on trays for a pooch pool party.
If each tray can hold 9 pupcakes, about how many trays will the bakery need?
Choose the best estimate.
1) 4
2) 20
3) 60
4)40
3) 60
Step-by-step explanation:
718 ÷ 9 = 79.78
So, if you round to the nearest whole number its about 80, the closest answer from your options is 60 so I think the best estimate is number three: 60.
Circle the equation with a rate of change of 3.
y=3x+12
3y=2x+5
Y=6x-3
(Please explain how you got your answer)
Answer:
[tex]y = 3x + 12[/tex]
Step-by-step explanation:
The rate of change is represented as the slope.
The problem is asking for a slope that is equal to 3.
y=6x-3 is incorrect, the equation is simplified and the slope is 6.
3y=2x+5 is incorrect, the slope is 2 and the equation isn't simplified.
y=3x+12 is correct, the equation is simplified and it's showing the correct slope.
Write the point slope form of the equation of the line through the given points: (-4,-1) and (-3,1)
PLEASE EXPLAIN. STEP BY STEP INSTRUCTIONS
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
with (x1, y1) being a point on the line, and m being the slope (the incline of the line).
we have the point. we can pick one from the 2 choices, I typical go for the one with smaller values. so, I will use (-3, 1).
now we need to calculate the slope.
the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
so, for our 2 points we see
x changes by +1 (from -4 to -3).
y changes by +2 (from -1 to +1).
and the slope is +2/+1 = 2
therefore our equation is
y - 1 = 2(x - -3)
or simplified
y - 1 = 2(x + 3)
if u help me then ill be your friend
Answer:
multiply both sides by 4
Step-by-step explanation:
Answer:
- 3/2 is the answer:)
Step-by-step explanation:
Move the constant to the right
Calculate
Divide by both sides
Hope this helps!
What is the equation of the line that passes through the point (-2, 1) and has a
slope of -5/2?
Answer:
y = -5/2x - 4
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (-2,1)
y - y1 = m (x - x1)
y - 1 = -5/2 (x - (-2))
y -1 = -5/2x - 5
+ 1 + 1
y = -5/2x - 4
To check our answer, I attached the graph.
Hope this helps!
Find a polynomial that represents the area of the square.
Answer:
49x²+126x+81
Step-by-step explanation:
Area of any square is length²
If the length given is 7x+9, we can square this to find out what represents the area:
[tex](7x+9)^{2}[/tex]
[tex](7x+9)(7x+9)[/tex]
[tex]49x^{2} +63x+63x+81[/tex]
[tex]49x^{2} +126x+81[/tex]
Answer:
49x² + 126x + 81
Step-by-step explanation:
A = a²
Since a = 7x + 9
=> A = (7x+9)²
= 49x² + 126x + 81
Note: (a+b)² = a² + 2ab + b²
Given the scenario:
A cell phone company charges $20 a month for the base plan. They charge 10 cents for
every text, minute, or kilobyte of data use. Write and equation to express your cell
phone bill.
If you used 500 texts, how much would your cell phone bill be?
O $170
O $65
O $20
O $70
Answer:
20$ is the answer of your question
Put these into Slope-Intercept Form
x + y = 1
3x + 5y = 15
Answer:
y = −x + 1
y = −3/5x + 3
-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4
-0.1
Explanation:
-3/3(a+c[b+5]-[-6+a])
-3/3(1-4[-6+5]-[-6+1])
-3/3(1-4[-1]-[-5])
-3/3(1 + 4 + 5)
-3/3(10)
-3/30
-0.1
Hope this helps!
You're locked out of your house and only open window is on the second floor, 30 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a flower garden along the edge of the house, so you'll have to place the ladder 12 feet from the house. What length of ladder do you need to reach the window?
Answer:
42 ft minimum.
Step-by-step explanation:
you need to place the ladder 12ft from the house and it is 30 ft above the ground.
Answer:
IVE BEEN LOCKED OUT OF MY HOUSE BEFORE.
Step-by-step explanation:
42 ft
Write a sequence of transformations that maps circle B onto circle A.
A translation 4 units right and 2 units up is done followed by a dilation of 3/2.
TransformationTransformation is the movement of point from its initial location to a new location. Types are rotation, translation, reflection and dilation
Translation is the movement of point up, down, left or right. Dilation is the increase or decrease in the size.
To map circle B onto circle A, first a translation 4 units right and 2 units up is done followed by a dilation of 3/2.
Find out more on Transformation at: https://brainly.com/question/1462871
Answer: All 3 Parts
Part A :
Part B : A translation 4 units right and 2 units up is done followed by a dilation of 3/2
Part C : the two circles are equation congruent
Step-by-step explanation:
Brian borrowed $22,000 to buy a car. The rate of interest was 9.5% and the length of time was 5 years. What will be Brian's total cost for his car?
Answer:
Compound interest
$34633.25
Step-by-step explanation:
Everything starts of at 100% and the rate of interest is 9.5% so we add them on=109.5%
Now we want this percentage as a decimal so we divide by 100 = 1.095 this our multiplier
Then get the original amount that you borrowed = 6000 times by the multipler=1.095 to the power of number of years so
6000 multipled by 1.095 to the power of 5
Giving me $34633.25
Tameka’s plant measured 3 inches at the beginning of the week and 5 inches at the end of the week. What was the approximate percent increase in the height of Tameka’s plant?
40%
25%
60%
67%
Answer:
25%
Step-by-step explanation:
Multiply:
3 × 5 = 25%
Hope this helps!! <3
Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyeline to the swing set is 31. 43°, and Emir is 11 feet from the ground. How many feet is the base of the tree from the swingset? Round your answer to the nearest foot. 15 feet 20 feet 18 feet 24 feet.
Tangent is the ratio of perpendicular to the base. The distance between the base of the tree and the swing set is 18 feet.
What is Tangent(Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that the height of the tree is 11 feet, while the angle of depression is 31.43°, therefore, the tangent can be written as,
[tex]\rm{Tangent(31.43^o) = \dfrac{AB}{BC}[/tex]
Where BC is the length between the base of the tree and the AB is the height of the tree.
[tex]\rm Tangent(31.43^o) = \dfrac{11}{BC}\\\\BC = 17.999 \approx 18[/tex]
Hence, the distance between the base of the tree and the swing set is 18 feet.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Evaluate p=4 q =2 r=3 s= - 7
Answer:
26
Step-by-step explanation:
solution;
here,
=(2p+3q)(P-q)
=(2*4+3*2)(4-2)
=(8+6)(2)
=13*2
=26
Three trigonometric functions for a given angle are shown below. Sine theta = Negative StartFraction 77 Over 85 EndFraction, cosine theta = StartFraction 36 Over 85 EndFraction, tangent theta = Negative StartFraction 77 Over 36 EndFraction What are the coordinates of point (x, y) on the terminal ray of angle mc020-2. Jpg, assuming that the values above were not simplified? (–77, –36) (–77, 36) (–36, 77) (36, –77).
Trigonometric functions are the ratio of the different sides of a right-angled triangle. We can say that the coordinates of the point are (-77, 36).
What are trigonometric functions?
Trigonometric functions are the ratio of the different sides of a right-angled triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Given to us
[tex]Sin(\theta) = \dfrac{-77}{85}[/tex]
[tex]Cos(\theta) = \dfrac{36}{85}[/tex]
[tex]Tan(\theta) = \dfrac{-77}{36}[/tex]
As we know that the Tangent(Tan) is the ratio of perpendicular and base. therefore, we can write the function as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base} = \dfrac{-77}{36}[/tex]
therefore, the length of the perpendicular is 77, while the length of the base is 36.
As given to us that the value of sin is negative, therefore, the perpendicular will be on the negative side of the y-axis. While the value of cos is positive, therefore, the base will be on the positive side of the x-axis.
Thus, we can say that the coordinates of the point are (-77, 36).
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
Answer:
B
Step-by-step explanation: just did it gang 100%