Answer:
(a+6)2=49 (use the distributive property and multiply 2 by everything left side
2a +12=49 (subtract 12 from both sides to isolate the a-term)
2a = 37 (divide both sides by 2 to get a alone)
a= 18.5 (this is your answer)
Step-by-step explanation:
I hope this helps :)
Answer:FRACTION ANSWER:37/2
MIXED NUMBER ANSWER:18 1/2
DECIMAL ANSWER:18.5
Step-by-step explanation:A=37/2 its a improper fraction so lets turn it into a mixed number witch is 18 1/2 and if you want a decimal its 18.5
A basketball game is 40 minutes long. Carter plays
5
8
of a basketball game. To calculate how many minutes Carter played, find an equivalent fraction to
5
8
with a denominator of 40. Select the correct calculation.
A.
5
×
8
8
×
8
=
40
64
; 64 minutes
B.
5
×
8
8
×
5
=
40
40
; 40 minutes
C.
5
×
5
8
×
5
=
25
40
; 25 minutes
D.
5
×
4
8
×
5
=
20
40
; 20 minutes
Answer:
B.
Step-by-step explanation:
If you want the denominator to be 40, you need a multiple which can make 40, just do 40 ÷ 8 = 5.
Answer:
C. 25 minutes
Step-by-step explanation:
[tex]\frac{5}{8} * \frac{5}{5} = \frac{25}{40}[/tex]
You can multiply the top and bottom both by 5
what is −3x−6+(−1) ?
Answer:
-3x-7
Step-by-step explanation:
Michael goes to the bank and puts $6000 in a savings account. He earns a simple interest of 3.5% If he leaves the money in the account for 2 years, what is the total amount in the account after the two years?
9514 1404 393
Answer:
$6420
Step-by-step explanation:
The account value can be found using the formula ...
A = P(1 +rt)
where P is the initial deposit, r is the annual rate, and t is the number of years.
A = $6000(1 + .035×2) = $6000(1.07) = $6420
The total amount after 2 years is $6420.
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
O A. yz 1 / 8x - 2
O B. ysx-2
O c. y> 1/3x-2
Answer:
[tex]y > \frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and b is the y-intercept(value of y when x = 0).
In this question:
We have that when [tex]x = 0, y = -2[/tex]. So the line is given by:
[tex]y = mx - 2[/tex]
Finding the slope:
We have two points in the line, which are (-3,-3) and (3,-1). The slope is given by the change in y divided by the change in x. So
Change in y: -1 - (-3) = -1 + 3 = 2
Change in x: 3 - (-3) = 3 + 3 = 6
Slope: [tex]m = \frac{2}{6} = \frac{1}{3}[/tex]
Solution to the inequality:
The solution to this inequality is all the points above the dashed line, which means that the dashed line is not part of the solution. So
[tex]y > \frac{1}{3}x - 2[/tex]
need help will give extra points! and brainly thing
Answer:
I think c tell if wrong ok
Answer:
They are continuous relations
Sam's mother is twice as old as sam, In 12 years, Sam will be as old as his mother was 12 years ago. How old are is sam and his mother now?
Answer:
Sam is 24 years old and his mom is 48 years old
Step-by-step explanation:
;)
The present age of Sam is 24 years and the present age of Sam's mother is 48 years
Let the present age of Sam's mother = M
Let the present age of Sam = S
Sam's mother is twice as old as Sam so we can write
[tex]\rm M = 2S.........(1)\\[/tex]
12 years ago the age of Sam's mother = M - 12
After 12 years the age of Sam = S + 12
According to the given condition
[tex]\rm S + 12 = M-12 ......(2)[/tex]
From equations (1) and (2) solving for M and S we get
[tex]\rm S + 12 = 2S -12\\S = 24\\M = 2\times S = 2\times 24 = 48[/tex]
So we can conclude that the present age of Sam is 24 years and the present age of Sam's mother is 48 years.
For more information please refer to the link given below
https://brainly.com/question/22410002
The graph represents which system of inequalities?
Oys-3x - 1
y = -x - 4
Oy2-3x + 1
y s -x - 4
Oys 3x - 1
ys-X + 4
Oys 3x - 1
y = -x + 4
Answer:
y ≤ 3x - 1y ≥ - x + 4Step-by-step explanation:
On the graph we have:
Line f(x)f(x) is rising function, y-intercept is -1, slope is 3 which is determined by the points - (0, -1) and (1, 2)Zone B is to the right of the line and the line is solidAs per description above we get inequality:
y ≤ 3x - 1Line g(x)g(x) is decreasing function, y-intercept is 4, slope is -1 which is determined by same x-intercept and y-interceptZone A is to the right of the line and the line is solidAs per description above we get inequality:
y ≥ - x + 4Zone AB is the intersection of the two zones, so the system is:
y ≤ 3x - 1y ≥ - x + 4QUICK SOMEONE HELP!! I’LL MARK BRAINLIEST
Answer:
A - 152
Step-by-step explanation:
You see the box on the right triangle, meaning it is 90.
Add 90 + 62 to get 152, so the angle is 152.
The Perimeter of a rectangle is 64 cm. The length is 2cm more than 1.5 times the width
Answer:
The length is 20
The width is 12
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Simplify 24÷⌈32÷(8−5)⌉−(−6)
Are these all together equivalent?
Answer:
yes
Step-by-step explanation:
3 = 6 = 12
4 8 16
the last two reduce to 3/4; they all all equivalent
solving for JL. And I'm using pythagorean theorem. If possible I would like an explanation.
Answer: 21.4
Step-by-step explanation:
13² + 17² = C²
169 + 289 = C²
458 = C²
√458 = C
C = 21.4
******90 POINTS!!*****
Subtract 1/2h -1 from 3/4 h +4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help me plz
£1 =€1.17
how many euros would I have if given £280
Answer:
u gotta multiple 280 with 1.17 which results 327.6
Answer:
since 1£ =1.17:1.17×280=327.6You invested $26,000 in two accounts paying 2% and 3% annual interest, respectively. If the total interest earned for the year was $730, how much was invested at each rate?
Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
Hope iit help you mark as BrainlistThe amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000
This can be solved using simultaneous equations. Two equations can be derived from the question :
a + b = 26,000 equation 1
0.02a + 0.03b = 730 equation 2
Where
a = amount invested in the account that yields a 2% interest
b = amount invested in the account that yields a 3% interest
Multiply equation 1 by 0.02
0.02a + 0.02b = 520 equation 3
Subtract equation 3 from equation 2
0.01b = 210
Divide both sides of the equation by 0.01
b = 210 / 0.01 = 21,000
Substitute for b in equation 1
a + 21,000 = 26,000
a = 26,000 - 21,000
a = 5000
To learn more about simultaneous equations, please check : https://brainly.com/question/15165519?referrer=searchResults
Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20
Answer:
15
Step-by-step explanation:
Cross multiply
3 times 20 = 60
4 times x = 4x
now your left with
60= 4x
divide 4 on both sides
15 = x
The numerator of a fraction equivalent to 3/4 that has a denominator of 20 is 15.
A fraction is made up of a numerator and a denominator. Examples of fraction are: [tex]\frac{3}{4} , \frac{1}{2}[/tex]. The numerators are 3 and 1. The denominators are 4 and 2.
In order to determine the numerator, we have to determine the relationship between the two denominators given ( 20 and 4). 20 is a multiple of 4. 20 / 4 = 5. The second step is to multiply 3 by 5 = 3 x 5 = 15.
To learn more about fractions, please check:
https://brainly.com/question/21449807?referrer=searchResults
Brooke gets 6 heads when flipping a weighted coin 8 times. Based on experimental probability, how many of the next 20 flips should Brooke expect to come up heads?
? heads
10 I would say
Unless 18 one of those
HELP I SOO BAD AT THIS HEEELLLLLPPPP!!!
Answer:
9 and 7
Step-by-step explanation:
Six more than three times a number w.
An expression for this phase is..?
(Please help)
Answer:6+3w
Step-by-step explanation:
So, our number is "W"
SO, 6 more than three times w is
6+3w
Three times w=3w
Then, it says 6 more, so we add 6
Answer:
What! :) - (-() (--(
Step-by-step explanation:
MI no sabo perdon my amigo
simplified form of ( (2^-2) )^-3 x ( (2^-3) )^2
Answer:
( (2^-2) )^-3 x ( (2^-3) )^2
((1/2²)^-3×(1/2³)²
1/(1/4)³×(1/8)²
4³×1/8²
64/64
1
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
A B C
D
1
O
a)
Which letter shows the probability of choosing a yellow sweet?
W
b)
Which letter shows the probability of choosing a sweet that is not orange?
Answer: B and D
Step-by-step explanation:
Given
There are 4 red, 2 Green, 3 Yellow, and 1 purple sweet i.e. total of 10 sweets
(a)No of yellow sweet =3
Probability
[tex]P=\dfrac{\text{No of yellow sweets}}{\text{Total no of sweets}}=\frac{3}{10}\\P=0.3[/tex]
In number line, A, B, and C represent 0.2,0.3 and 0.4
For yellow it is B
(b)sweet that is not orange is red, green, yellow, and purple
So, probability
[tex]P=\dfrac{\text{sweet that is not orange}}{\text{Total sweets}}=\frac{10}{10}=1[/tex]
So, D represents it
Carlos has 38 apples.He puts 8 into each bag.If he fills many bags as possible ,how many apples are left?
answer choices:
6
5
4
2
I need a step by step explanation please
please help!!!! solve for x showing EACH STEP
please!!
cant see the pic
please type out the question
so that i can help u
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex]z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
A bus comes by every 12 minutes. The times from when a person arrives at the bus stop until the bus arrives follows a uniform distribution from 0 to 12 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.
a) What is the mean of this distribution?
b) What is the standard deviation?
c) What is the probability that the person will wait more than 5 minutes?
d) Suppose that the person has already been waiting for 2.8 minutes. Find the probability that the person's total waiting time will be between 3.4 and 5.7 minutes.
e) 10% of all customers wait at least how long for the train?
Answer:
a. The mean of uniform distribution is (a+b)/2, where a and b are limits of the uniform distribution. So, mean is (0+12)/2 = 6 minutes
b. Standard deviation is (a-b)^2/12 = (0-12)^2/12 = (-12^2)/12 = 144/12 = 12
c. Prob (Wait for more than 5 min) = (12-5)/(12-0) = 7/12 = 0.5833
d. So, given he has waited for 2.8 minutes, what is prob that he will wait between 3.4 and 5.7 minutes
= (5.7 - 3.4) / ((12-2.8) - 0)
= (5.7 - 3.4) / (9.2 - 0)
= 2.3/9.2
= 0.25
e. 10% of all customers wait at least how long for the train?
10% of all customers wait for?
Since its a uniform distribution, people are uniformly spread. So, the 10% of people will be in the top 10% percentile group of waiting time which essentially means:
0.10 = (12-b)/(12-0)
0.10 = (12-b)/12
1.2 = 12 - b
b = 12 - 1.2
b = 10.8 minutes
So, 10% of all customers wait for at least 10.8 minutes for the train.
select the expression that is NOT equivalent to 35p+25
A 5(5+3p+4p)
B 5(15p+5+20p)
C 5(5+7p)
D 5(4p+3p+5)
The base of the isosceles triangle is parallel to x -axis and has
both end-points on the parabola [tex]y =x(10-x)[/tex]and its vertex
belongs to the x -axis. Find area of the triangle if the length of its
base is 8.
Answer:
36 square units
Step-by-step explanation:
y = x(10-x)
This is a down-opening parabola with axis of symmetry x = 5
Vertex of triangle (5,0)
Base of triangle is the horizontal chord of length 8, endpoints x = (1,9) and (9,9).
Height of triangle = 9
Area of triangle = ½·8·9 = 36 square units
Pythagorean Theorem: word problem:
Anita is admiring a statute in Morristown Park. The statute is 16 feet taller than she is, and Anita is standing 12 feet away. How far is it from the top of the statute to Anita's head? in feet
Answer:
20 Feet away
sqrt((a*a)+(b*b))
Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
The equivalent of the expression, 35 (8 – 3) is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)
How to simplify an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Therefore, let's simplify the expression to the its' equivalent as follows:
Hence,
35 (8 – 3) = 35(5) = 175
Therefore, the equivalent is as follows:
35 (8 – 3)
Open the bracket by multiplying as follows;
35 (8 – 3) = (35 × 8 ) - (35 × 3)
The correct option is C. (35 × 8) – (35 × 3)
learn more on expression here: https://brainly.com/question/111385
#SPJ6
Select the statement that best justifies the conclusion based on the given information.
Ifx+5 = 15, then x=10.
O addition property of equality
O subtraction property of equality
multiplication property of equality
O substitution
Answer:
B.
Subtraction property of equality.
