Answer:
5.125 < 5.14 < 5.15 < 5 2/9
Step-by-step explanation:
i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3
What is the solution to the equation? −12x=−3 Enter your answer as a simplified fraction in the box. x =
Answer:
1/4
Step-by-step explanation:
This is because you want to get x alone, so if you divide -12 on one side you have to do it on the other side, so you get -3/-12 which can be divided by -3 to be simplified to 1/4. Hope this helps!
Answer:
1/4Step-by-step explanation:
-12x = -3
x = 12 : -3
x = 1/4
--------------------
check
-12 * 1/4 = -3
-3 = -3
the answer is good
1) The height, h, in feet of a ball above the ground is given by h = -16t2 + 64t+ 80, where t is the time in seconds. How long does it take the ball to hit the ground? es A) 3 seconds B) 4 seconds 95 seconds D) 6 seconds
Answer:
C) 5 seconds
Step-by-step explanation:
[tex]h = - 16t {}^{2} + 64t + 80[/tex]
When the ball hits the ground, the height is 0.
[tex]0 = - 16t {}^{2} + 64t + 80[/tex]
Factor out the greatest common factor: 16
[tex]0 = - 16(t {}^{2} - 4t - 5)[/tex]
Find numbers whose sum is -5 and product is - 4.
Those numbers are - 5 and 1: - 5 × 1 = - 5, - 5 + 1 = - 4
[tex]0 = - 16(t - 5)(t + 1)[/tex]
[tex]t - 5 = 0[/tex]
Or
[tex]t + 1 = 0[/tex]
So,
[tex]t = 5[/tex]
Or
[tex]t = - 1[/tex]
Since time cannot be a negative value the correct answer is 5 seconds.
Evaluate the expression when c=−4 and y=2
-y+4c
Answer:
-2 - 16 = -18
Step-by-step explanation:
-y+4c
You take the values for c and y and substitute them in the original equation.
It would then look like:
-(2) + 4(-4)
Solving that would be -2 -16 = -18
Answer:
-18
Step-by-step explanation:
-(2)+4(-4) Plug in the values of y and c.
-2+(-16) Simplify.
-2-16
-18
Hope this helps you out!! Have an amazing day <3
Find the x in the figure. Assume a and b are parallel
Answer:
x = 15
Step-by-step explanation:
(4x - 30) and (2x) are alternate angles and are congruent , then
4x - 30 = 2x ( subtract 2x from both sides )
2x - 30 = 0 ( add 30 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200
$
1,200
for hotel costs. They want to stay 6
6
nights at a hotel. In addition, they know they should plan to pay $240
$
240
in taxes and tips. Let c
c
represent the total cost per night they should plan for the hotel.
What is the solution to the equation that represents this situation?
Answer:
The equation will be. c= 1200 / 240 + 6 = 440. C=440 (I don't know if this is correct)
what is n? solve for n+5=2n-6
Answer:
n = 11
Step-by-step explanation:
n+5=2n-6
you add 6 on both sides and you get
n+11=2n
you then subtract n on both sides and get
11=n
Step-by-step explanation:
n+5 = 2n - 6 -> Original equation
5 = n - 6 -> Take n away from both sides
11 = n -> Add 6 to both sides
n = 11 -> Final answer
*Remember, we are trying to get n by using inverse operations.
What is the value of the expression [−18+(−22)]−43+12?
Answer:
-71
Step-by-step explanation:
Answer:
-71
Step-by-step explanation:
[-18+(-22)]-43+12
=(-18+22)-43+12
=-40-43+12
=-83+12
=-71
Elena received a $30 gift for her birthday. She plans to use it to buy one or more books. Elena will have to pay 8% sales tax on the books and $1.50 bus fare to get to and from the shopping center. If c = the amount in dollars Elena spends on books, this situation can be represented by the inequality below.
1.08c + 1.5 ≤ 30
The cost of book has to be less than or equal to 26.39.
The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.
(1 + tax)cost of books + cost of bus fare ≤ value of the gift
1.08c + 1.5 ≤ 30
In order to determine the maximum cost of books, take the following steps:
Combine similar terms
1.08c ≤ 30 - 1.5
Add similar terms together
1.08c ≤ 28.50
Divide both sides of the equation by 1.08
c ≤ 28.50 / 1.08
c ≤ 26.39
To learn more about taxes, please check: https://brainly.com/question/25311567
PLEASE HELP QUESTION IN PIC
Answer:
(5, -4)
Step-by-step explanation:
Answer:
(5,-4)
Step-by-step explanation:
((0+10/2),(-2-6/2))
(10/2, -8/2)
(5,-4)
Carmen is given a parallelogram and is trying to prove that the opposite angles of a parallelogram are congruent. She draws a parallelogram and a diagonal as shown.Along with the definition of a parallelogram, which pair of reasons can Carmen use for her proof?
Angles theorem and Reflexive property of congurence
The solution is
Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
Now , AC is a diagonal of the parallelogram
According to the postulates of parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
And ,
From the figure , we can deduct that ΔABC ≅ ΔCDA by
Angle A is congruent to angle C, and angle D is congruent to angle B
So , from congruent triangle theorem ΔABC ≅ ΔCDA
And ,
∠B ≅ ∠D
Because Opposite angles are congruent of a parallelogram
Hence , Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
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#SPJ2
Define the domain: {(2,3),(0,3),(4,2),(5,6)}
A. 2, 0, 4, 5
B. 0
C. 6
D. 3, 2, 6
Calculate the volume of the storage tank to the nearest hundredth.
F.2,840.04 m3
G.8,520.12 m3
H.11,360.16 m3
J.34,080.47 m3
Answer:
gang gang shii
Step-by-step explanation:
gang gang.
X, y, z are each a different digit
a. Max(2x+3y+7z)=?
Answer:
101
Step-by-step explanation:
To get the largest weighted sum, you want to give the largest weight to the largest possible digit.
Max( ) = 7·9 +3·8 +2·7 = 63 +24 +14 = 101 . . . . (x, y, z) = (7, 8, 9)
The maximum sum is 101.
if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)
Answer:
The value of [tex]gof (-2)=79[/tex]
Step-by-step explanation:
We have
[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]
Now we need to find
[tex]gof (-2)=g(15)[/tex]
[tex]g(15) =5\times15+4\\\\=79[/tex]
16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?
Answer:
My friend is farthest from my school
Step-by-step explanation:
Let the distance from the movie store to school be x and the distance from the grocery store to school be y
Using Cosine rule,
x²= 10²+7² - 2×10×7Cos120
x²= 149 -140(-0.5)
x²= 149+70
x²= 219
x= √219
= 14.8miles
y²= 10²+7² - 2×10×7Cos100
y²= 149 -140(-0.1736)
y²=149+24.2704
y²=173.2704
y=√173.2704
y=13.4miles
How i can answer this question
Answer:
3(2q+1)
Step-by-step explanation:
6q+2
3(2q+1)
Find the value of 3x+ 4 when x = 2
Answer:
3x+4, x=2
3(2)+4
6+4=10
Hello there! :-)
To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:
3x+4
3(2)+4
6+4
10
Therefore, the answer is 10.
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck with your studies. :)
Which expression is equal to the expression below ( 6.9)5
Answer:
270 or 34.5
Step-by-step explanation:
1. (6.9)= 54
54x5= 270
2. 6.9x5= 24.5
Hopes This Helps :)
Sketch the graph of each line
The standard equation of a line is y = mx+ b
where:
m is the slope of the lineb is the y-intercept of the lineThe y-intercept is the point where the line cuts the y-axis
For the equation y = -2x -4
For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.For the equation y = -5/2x
For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.Find the graphs attached.
Learn more on graphs here: https://brainly.com/question/25020119
Let $F,$ $G,$ and $H$ be collinear points on the Cartesian plane such that $\frac{FG}{GH} = 1.$ If $F = (a, b)$ and $H = (7a, c)$, then what is the $x$-coordinate of $G$?
F, G, and H all lie on the same line. If FG/GH = 1, then FG = GH, which is to say the distance between F and G is equal to the distance between G and H. This means either F and H are the same point, or G is the midpoint of F and H.
They're not the same point, because the x-coordinate of H is 7 times that of F. So G must be halfway between F and H.
Then the x-coordinate of G is
(a + 7a)/2 = 8a/2 = 4a
Use the graph to describe what transformation has taken place. List your answer below.
Please help! I'll give brainliest.
Answer:
Reflection over y-axis (-x,y)
Step-by-step explanation:
Reflection over y-axis (-x,y)
A (-2 , 4) , A'( 2,4)
you can check the rest.
Solve for the variable PLEASE HELP
Answer a+ 4 - a-7 a-7 _5 = 37_6
Step-by-step explanation:
Answer:
a=-7
Step-by-step explanation:
Find least common multiplier
LCM=105
Multiply to function
a+4/3 *105- a/7= 105* a+7/5
Simplify
35(a+4)-15x=21(a+7)
Expand
20a+140=21a+147
Subtract 140 from both sides
20a=21a+7
Subtract 21a from both sides
-a=7
Divide both sides by -1
-a/-1=7/-1
a=-7
Question 1 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
2x - 4y= 5
6x – 3y=10
O A. Multiply the top equation by 3 and the bottom equation by 4.
B. Multiply the top equation by-3 and the bottom equation by 2.
ООО
C. Multiply the top equation by-2.
D. Multiply the top equation by-3.
Answer:
D.
Step-by-step explanation:
Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)
Answer:
discriminant= 100, nature of the root= real numbers.
Step-by-step explanation:
discriminant formula: b^2-4ac
-2^2-4(6)(-4)
4+96=100.
Please Help Me Out Show You Work :) I will appreciate much
Step-by-step explanation:
6)
[tex]k = \frac{6}{4} \\ k = \frac{3}{2} [/tex]
7)
[tex] \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} [/tex]
8)
[tex]y = 8 ( \frac{3}{2} ) \\ y = 12[/tex]
[tex]z = 6 ( \frac{3}{2} ) \\ z = 9[/tex]
9)
[tex]5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft[/tex]
what is the value of k makes the equation trur
Answer:
where is the equation??
pls attach that
calculate (3×10^5) × (4×10^4) in standard form.
NEED HELP ASAP.
Answer:
12000000000
Step-by-step explanation:
did I add too many zeros????
10 to the 5 is multiply by 10 five times (100,000)
100,000 x 3 = 300,000
For the second thing, 10 to the 4 = 10,000
10,000 x 4 = 40,000
300,000 x 40,000 = 12000000000
What is the equation of the line that passes through the point (-5,1)(−5,1) and has a slope of -\frac{1}{5}−5
Answer:
Step-by-step explanation:
I will interpret "-\frac{1}{5}−5" as -(1/5).
We'll look for an equation by starting with the slope intercept format of:
y = mx + b,
where m is the slope and b is the y-intercept (the value of y when x=0).
We are given the slope of -(1/5), I think.
The equation becomes y = -(1/5)x + b
We want to find a value of b that will force the line to go through point (-5,1). Do this by putting this point into the equation we have thus far:
y = -(1/5)x + b
1 = -(1/5)*(-5) + b [point (-5,1)]
1 = 1 + b
b = 0
The equation becomes y = -(1/5)x + 0, or y = -(1/5)x
See the attachment.
Find the factors of f(x) given that x = 5 is a zero.
f(x) = x3 − 6x2 − x + 30.
(x − 5)(x + 3)(x − 2)
(x − 5)(x − 3)(x + 2)
(x + 5)(x − 3)(x + 2)
(x + 5)(x + 3)(x − 2)
Answer:
B.(x − 5)(x − 3)(x + 2)
Hope you could get an idea from here.
Doubt clarification - use comment section.
Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ?
Answer:
2/9.
Step-by-step explanation:
There are 2 multiples of 4 in the 9 cards, 4 itself and 8.
So the required Probability is 2/9.