Answer:
Step-by-step explanation:
In order to find the values to factorize the equation, we need to find the factors the factors of 3 that sum to 4
The factors of 3 are [tex]\pm: 1, 3[/tex]
We can make 4 with 1 + 3
Since all the values are positive, both of the factors will have addition
[tex]x^2+4x+3\\(x+3)(x+1)\\\\x^2 + x + 3x + 3\\x^ + 4x + 3[/tex]
Simplified fraction 8 (5/6) =
hi
technique is to decompose both part of the fraction ( in prime numbers if possible )
8 * 5/6 = 2*4*5 / 3*2 = 20/3
Scientists are preparing two satellites to be launched. The equation y = 8000.C represents the number of miles, y, that the satellite, Space Explorer B, flies in hours. The satellite, Space Explorer A, flies 24000 miles in 20 hours. How much faster does Space Explorer B travel per hour than Space Explorer A?
Answer: 6800
Step-by-step explanation:
24000 divided into 20
8000-1200
The rate of speed is the rate at which the total distance is traveled in the time taken.
The Space Explorer B travel 6.67 times faster than Space Explorer A.
What is rate of speed?
The rate of speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, [tex]d[/tex] is the distance traveled by the object and [tex]t[/tex] is time taken but the object to cover that distance.
Given information-
The equation given in the problem is,
[tex]y=8000[/tex]
Here, [tex]y[/tex] represented the number of miles that the satellite, Space Explorer B, flies in hours.
The satellite, Space Explorer A, flies 24000 miles in 20 hours.
The speed of the Space Explorer A, which flies 24000 miles in 20 hours is,
[tex]s=\dfrac{24000}{20}\\s=1200[/tex]
Thus the Space Explorer A, travels 1200 miles per hour.
As the Space Explorer B, travel is 8000 miles per hour and the Space Explorer A, travels 1200 miles per hour. Thus the ratio of the speed of both is,
[tex]d=\dfrac{8000}{1200} \\d=6.67[/tex]
Thus the Space Explorer B travel 6.67 times faster than Space Explorer A.
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Select a symbol to compare the numbers
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
don leaves home 2pm. he drives 45 miles from home in the first hour
Answer:
if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm
Step-by-step explanation:
F(x) = (4x–5)/6
Find the Inverse
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Hope this helps! Stay Safe!
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
Francis has a large vegetable garden that covers 47 of her backyard. Her patio covers 13 of the yard, and the rest is grass. What portion of Francis’s yard is grass?
If someone can please answer this!!
the sum of two numbers is 100 and their difference is 80, what are the two numbers
Answer:
The numbers are 90 and 10.
Step-by-step explanation:
Let the two numbers are x and y.
It has been given that sum of two numbers is 100. Hence, we have the equation,
x + y = 100 .........(i)
Now, the difference of these two numbers is 80. Thus, second equation is
x - y = 180......(ii)
Add equation (i) and (ii)
x + y + x - y = 100 + 80
2x = 180
Divide both sides by 2
x = 90
Substitute this value in (i)
90 + y = 100
y = 100- 90
y = 10
Therefore, the numbers are 90 and 10.
#Learn More:
The sum of two numbers is 450 and the smaller number is 120. What is the product?
Step-by-step explanation:
90 and 102 + 3x²y - 1⁄2y + y - 1
Answer:
3x²y+0.5y+1
Step-by-step explanation:
2+3x²y -0.5y+y -1
2 and -1 is 1
-0.5y and +y is +0.5y so the answer is...
The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?
a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz
Answer:
B. 12.96
Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.
Answer:12.69
Step-by-step explanation:
7.2 pounds + 80% =
12.96 pounds im telling you
I need help bad please anyone I need this
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
What is an equation of the line that passes through the point (-5,-4) and is perpendicular to the line 5x+6y=36
Answer:
y = 6/5x + 2
Step-by-step explanation:
First let's fix this equation
5x + 6y = 36 (subtract 5x on both sides)
6y = -5x + 36 (divide by 6 on both sides)
y = -5/6x + 6
NOW
The perpendicular slope of this equation is 6/5
Now we have to plug in (-5,-4) to get the y-intercept
-4 = 6/5(-5) + b (distribute 6/5 to -5) (b represents the y-intercept)
-4 = -6 + b (add 6 on both sides)
2 = b
So your equation is...
y = 6/5x + 2
HOPE THIS HELPED!!!!!
i need the solution to 5x+2y=7 and 7x+6y=-3
Answer:
1. x=7/5-2y/5
2. x = − 8 √ 3 ( − 1 − 2 y )
Step-by-step explanation:
i did it
whats the answer im stuck ( -___-)
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation:
Shown below are parallel lines n and p which are cut by transversals r and s which are perpendicular to each
other. Which of the following is the measure of 21?
(1) 51
(2) 64
(3) 72
(4) 102
will give brainliest asap!
Given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]
The angle measure where two perpendicular lines intersect each other equals 90 degrees.
Therefore, the angle formed as shown in the figure attached, where transversals r and s meet = 90 degrees.
Since lines n and p are parallel lines, therefore:
[tex]m \angle 1 + 90 = 141[/tex] (alternate interior angles are equal)
Subtract 90 from each side[tex]m \angle 1 = 141 - 90\\\\\mathbf{m \angle 1 = 51^{\circ}}[/tex]
Therefore, given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]
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I need help on this question
Answer: The answer is 16
Step-by-step explanation: Ron is 6 tall and cast a 3ft shadow, which means its showing half his size. The tree is casting a 8 ft shadow so that means double the shadow and you should get 16ft
What word phrases represent the expressions (2x+3) + 7 and 2x + (3+7)? Are the two expressions equivalent? Explain.
Answer:
yes
Step-by-step explanation:
the results are equivalent. because, the formula is: a + (b + c) = (a + b) + c
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answer:
the answer to this question is parallel
Test your PEMDAS
6+8/2(2+2)
This one is tricky
Answer:
6+8÷2×4
6+16
=22
Step-by-step explanation:
add the numbers
calculate the new expression
add the numbers
Answer: hint use pemdas
Step-by-step explanation:
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EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
Its C
Step-by-step explanation:
Help I reward you the Brainlyest
Answer:
(0, -7), (7/5, 0)
Step-by-step explanation:
rearrange your equation to look like y = mx+b where b is the y-intercept
y-3 = 5(x-2) distribute
y-3 = 5x-10 add 3 to both sides
y = 5x -10 +3 combine like terms
y= 5x-7 so
y-intercept is at ( 0, -7)
to find x-intercept make 5x-7=0 and solve for x
5x-7 = 0 add 7 to both sides
5x = 7 divide both sides by 5
x=7/5 or 1.4
x-intercept is (7/5, 0)
Quadrilateral WXYZ below has an interior angle sum of 360°.
Quadrilateral W X Y Z. Angle Z is 69 degrees, angle Y is 132 degrees, and angle X is 69 degrees. Angle W is unknown.
Which type of angle is Angle W?
right angle
acute angle
straight angle
obtuse angle
Answer:
the W is 90°, means it is a right angle
Step-by-step explanation:
add all numbers, then subtract the sum to 360 and you will get the answer
Answer:
the anwser is A
Step-by-step explanation:I got a 100% on my test
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.
Answer:
30 miles = 48 kilometres
Step-by-step explanation:
30 miles divided by 8 = 6
6 x 8 = 48
= 48 kilometres
Answer:
76.16
Step-by-step explanation:
5 miles = 8 km
==> 1 mile = (8/5) km= 1.6km
47.5 miles = 47.6 * 1.6 km =76.16km
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Find the value of x that makes m ∥ n .
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.