Answer:
[tex]30m + 15 = 3(10m + 5)\\[/tex]
[tex]30m + 15 = 5(6m+3)[/tex]
Step-by-step explanation:
Given
[tex]30m + 15[/tex]
Required
Equivalent expressions
We have:
[tex]30m + 15[/tex]
Factor out 3
[tex]30m + 15 = 3(10m + 5)[/tex]
Also:
[tex]30m + 15[/tex]
Factor out 3
[tex]30m + 15 = 5(6m+3)[/tex]
Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee
Answer:
x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist. __________________
b. What are the speeds of the two cyclists? __________________
9514 1404 393
Answer:
a) r + (r+3) = 68/4 . . . . equation to answer the question
b) r = 7, r+3 = 10 . . . miles per hour
Step-by-step explanation:
a. The combined speed of the two cyclists is found from the time it takes for them to close the distance between them. The faster cyclist is traveling at (r+3) miles per hour.
speed = distance/time
r + (r+3) = 68/4 . . . . an equation to answer the problem
__
b. Solving the above equation helps us answer the question
2r +3 = 17 . . . simplify
2r = 14 . . . . . subtract 3
r = 7 . . . . . . divide by 2
r+3 = 10
The speeds of the two cyclists are 7 miles per hour and 10 miles per hour.
for what value of a is x-3 a factor of x^3-4x^2+ax-2a
Answer:
2x
Step-by-step explanation:
because it's2 so two ok carRy on
The value of a is 9.
What is factor?
A factor of polynomial P(x) is any polynomial which divides evenly into P(x).
How to find the solution for a polynomial?For finding the factor of a polynomial we will perform following steps:
If f(x) is any polynomial then substitute f(x) = 0.Then factorize the given polynomial by splitting the middle term. Then solve for x.According to the given question.
We have a cubic polynomial [tex]x^{3} -4x^{2} +ax -2a[/tex]
Also, x - 3a is a factor of the given polynomial.
⇒ [tex]x - 3 = 0[/tex]
⇒[tex]x = 3[/tex]
⇒ 3 is the one solution of the given cubic polynomial.
If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).
So, substitute the value of x in the given polynomial.
[tex](3)^{3} -4(3)^{2} + a (3) - 2a = 0[/tex]
⇒[tex]27 -4(3)^{2} +a(3) -2a=0[/tex]
⇒[tex]27 - 36 + 3a - 2a= 0[/tex]
⇒[tex]-9 + a = 0[/tex]
⇒ [tex]a = 9[/tex]
Therefore, the value of a is 9.
Find out more information about factor and solution of polynomial here:
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this please help me
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
URGENT.. pls help NO links
Answer:
.83
Step-by-step explanation:
we want
(sports∩Senior)/Senior
we can see that sports∩senior= 25
and senior= 25+5+5=30
25/30= .83
If mAB = 30° and mCD = 110°, find mLE.
D
110°
А
30°
E
с
B
O 15°
O 30°
O 40°
O 70°
Answer:
40
Step-by-step explanation:
Use the Outside Angles Theorem,
[tex] \frac{110 - 30}{2} = 40[/tex]
FIND THE LENGTH of X triangle (Look at picture easy and brainlest)
Answer:
resizing by the factor of 5/7
x = 3.5 * 5/7
= 17.5/7
= 2.5
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
The answer is in the picture. Click on it.
side lengths and angle measures in similar figures
Step-by-step explanation:
You can see the full detailed explanation in the attached files
I really need help! Please find the area of the polygon?
Answer:can you help me
write a letter to your friend about important of reading books?
Answer:
Area = 189 m^2
Step-by-step explanation:
This is a trapezium with height h=9m, base, b = 24, top, t = 18.
The area is given by
A = (base+top)*height/2
= (24+18)*9/2
= 189 m^2
a patient is advised to supplement her diet with 3g of calcium per day. The calcium tablets she purchases 300mg per tablet. How many tablets should the patient take per day?
Answer:
Number of tablet needed = 1 tablet
Step-by-step explanation:
Given:
Amount of calcium per day needed = 3 gram
Amount of calcium in a tablet = 300 mg
Find:
Number of tablet needed
Computation:
Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet
Number of tablet needed = 3gram / 300 milligram
Number of tablet needed = 300 milligram / 300 milligram
Number of tablet needed = 1 tablet
Calculate a positive co-terminal angle for θ=40°
Answer:
400
Step-by-step explanation:
angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.
QUESTION 5 of 10: You have a choice of a $2,000 rebate on a $13,000 vehicle or 18% off. Which is better?
O a) Rebate
Ob) 18% off
Submit
C2021 Knowledge Matters, Inc.
Lesson
Estimated time: 60 minutes
Answer:
18% off
Step-by-step explanation:
i just took the test
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the rectangle.
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
Expand:
2W² +W= 28
-28 on both sides:
2W² +W -28= 0
Factorise:
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
Solve the system of equations given below. y - 15 =3x and -2 + 5y = -3
Answer:
y-15=3x balakaksnzujsbhzbskndh
Answer:
x = - 6 , y = - 3
Step-by-step explanation:
y - 15 = 3x => y = 3x + 15 ------- ( 1 )
-2x + 5y = - 3 --------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
-2x + 5 ( 3x + 15) = - 3
-2x + 15x + 75 = - 3
13x = - 3 - 75
13x = - 78
x = - 6
Substitute x in ( 1 ) :
y = 3x + 15
= 3 ( - 6 ) + 15
= - 18 + 15
y = - 3
Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.
Answer:
y = 100
Step-by-step explanation:
y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]
y = c ([tex]x^{2}[/tex] - 2x + 1)
When y = 63, x = 4;
63 = c ([tex]4^{2}[/tex] - 2(4) + 1)
= 9c
63 = 9c
c = [tex]\frac{63}{9}[/tex]
c = 7
Thus,
y = 4([tex]x^{2}[/tex] - 2x + 1)
The value of y when x = 6 can be determined as;
y = 4([tex]6^{2}[/tex] - 2(6) + 1)
= 4(25)
y = 100
Therefore, y = 100
PLEASEEEE HELPPPPP IM BEGGING SOMEONE HELPPP PLEASEEEEEEEEE PLEASEEEEEEEE
Answer:
x = -1
y = 6
Step-by-step explanation:
We can multiply the second equation by two, so we can have opposite y terms:
2 (3x - 2y = -15)
6x - 4y = -30
Now, we can add the equations, and the y terms can cancel out:
7x + 4y = 17
+ 6x - 4y = -30
13x = -13
x = -1
Now, we can plug in x:
3(-1) - 2y = -15
-3 - 2y = -15
-2y = -12
y = 6
On four consecutive days, a concert pianist practiced for
3 1/2 hours,
6 1/3hours,
4 1/4 hours, and
5 1/6hours. Find the pianist's total practice time.
Answer:
19 hours and 15 minutes
Step-by-step explanation:
if you add it up all together it equals to 19.25 hours but you would convert it into 19 hours and 15 minutes
The pianist's total practice time is 19 3/12 hours.
Given that, on four consecutive days, a concert pianist practised for 3 1/2 hours, 6 1/3hours, 4 1/4 hours, and 5 1/6hours.
We need to find the pianist's total practice time.
How to add fractions?Mixed fractions with unlike denominators are a group of those mixed fractions that do not have the same denominator. Let us learn how to add mixed fractions with unlike denominators with the help of the following steps.
Step 1: The whole numbers of both the fractions are added first.
Step 2: If the denominators are different, so we have to find the Least Common Multiple (LCM) of the denominators.
Step 3: With the help of the LCM, we will write their respective equivalent fractions so that they become like fractions.
Step 4: Now, we have both the fractions with the same denominators, that is, they have been converted to like fractions.
Step 5: Add the like fractions now and then simplify.
Total=3 1/2+6 1/3+4 1/4+5 1/6
=(3+6+4+5) (1/2+1/3+1/4+1/6)
=18 (1/2+1/3+1/4+1/6)
LCM of denominators 2, 3, 4 and 6 is 12.
Now, 18 (6/12+4/12+3/12+2/12)
=18 15/12
=19 3/12
Therefore, the pianist's total practice time is 19 3/12 hours.
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Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer: 8
Step-by-step explanation
Answer:
$8
Step-by-step explanation:
If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.
[tex]-20-10+38=8[/tex]
i need to find the area of a rectangle using the formula A=b*h the height is 810 cm the base is 10 meters...i know i need to convert, but how do i set up the equation to gigute/work this this out?
Answer:
81000[tex]cm^{2}[/tex] or 8.1[tex]m^{2}[/tex]
Step-by-step explanation:
1m = 100cm
10m = 1000cm
a= b*h
a= 1000cm * 810cm
= 810000[tex]cm^{2}[/tex]
1[tex]m^{2}[/tex] = 10000[tex]cm^{2}[/tex]
810000[tex]cm^{2}[/tex] = 8.1[tex]m^{2}[/tex]
What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?
–1
0
5
undefined
Undefined.
All lines that are parallel to the y-axis have an undefined slope.
Answer:
This is an Undefined Slope
Please help i’ll rate brainliest too
Answer:
- 4
Step-by-step explanation:
h(x) = sin x
f(x) = | 3x - 4 |
g(x) = 2x² - 6
h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1
f ( 1 ) = | 3 × 1 - 4 | = 1
g ( 1 ) = 2( 1² ) - 6 = - 4
g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4
the Satya Vansh become an important dynasty in the world of
Answer: it’s 352425262625251452 is 4th of July and I am present
Step-by-step explanation:
3 cm
8 cm
Find surface area of cylinder
Answer: [tex]66\pi \text{ cm}^{2[/tex]
Step-by-step explanation:
[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]
Umm can someone help me lol
Answer:
Answer is C
Step-by-step explanation:
WILL MARK YOU IF YOU HELP ME PLEASE!!
Answer:
84
Step-by-step explanation:
180-72-24
so the answers is 84
Answer:
84
Step-by-step explanation:
In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.
72+24=96
180-96=84
1. Mars states that of the M&M's they produce for their regular bags of M&M's that 20% are
yellow, 20% are red, 10% are orange, 10% are blue, 10% are green, and the rest are brown
a. If you were to pick an M&M at random, what is the probability that:
i. It is brown?
It is yellow or orange?
It is NOT green?
Answer:
it is brown.
Step-by-step explanation:
100%-20%-20%-10%-10%-10%=30%
most=30%
Answer:
It is brown
it is not green
Step-by-step explanation:
100%-20%-20%-10%-10%-10%=30%
yellow = 20%
orange = 10%
green = 10%
so, it is brown and it is not green.
What is the length of DF?
Answer:
-DE+EF
Step-by-step explanation:
this is because DE is a negative vector because we are moving against the direction
MT is a diameter of OE. Calculate the measure of ZMTH.
A. 17°
B. 34°
C. 68°
D. 146
NEED HELP please, check the picture
Answer:
A. 17°
Step-by-step explanation:
Recall: measure of an inscribed angle = ½(intercepted arc)
Inscribed angle = m<MTH
Intercepted arc = arc MH = 34°
Therefore,
m<MTH = ½(Arc MH)
Substitute
m<MTH = ½(34)
m<MTH = 17°
(2x-7)/4=(x+3)/3
someone help me?
=
3
3
2
hope it's helpful for you
Answer:
x=33/2
Step-by-step explanation:
[tex]\frac{2x-7}{4}[/tex]=[tex]\frac{x+3}{3}[/tex]
do cross multiplication
4(x+3)=3(2x-7)
4x+12=6x-21
12+21=6x-4x
33=2x
33/2=x
