Answer:
b = [tex]\frac{3ab - a - 2}{2}[/tex]
Step-by-step explanation:
We have an algebraic expression and are asked to solve for b.
a(3b - 1) = 2b + 2
To solve we need to isolate b :
Distribute :
(a(3b) - a(1)) = 2b + 2
3ab - a = 2b + 2
2b + 2 = 3ab - a
Subtract 2 from both sides :
2b = 3ab - a - 2
Divide 2 from both sides :
b = [tex]\frac{3ab - a - 2}{2}[/tex]
Answer:
b = 2+a/ 3a-2
Step-by-step explanation:
42 out of 90 is what percentage?
Answer:46.6%
Step-by-step explanation: multiply 42 by 100 than divide that by 90
In XYZ right angled at Y. find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The Pythagorean theorem applies. You want c for a=1.6, b=6.3.
c² = a² +b²
c² = 1.6² +6.3² = 2.56 +36.69 = 42.25
c = √42.25 = 6.5
The length of the hypotenuse is 6.5 cm.
The value of a printer is decreasing by a constant percent rate e
value of the printer at the end of each year. which table represents the value of the printer at the end of each year
Answer:
b.
Step-by-step explanation:
One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?
A 2:3
B 1:6.4
C 1:16
D 1:64
Answer:
Step-by-step explanation:
d₁ = 6 inches
r₁ = 3 inches
area = πr₁² = 9π in²
d₂ = 24 inches
r₂ = 12 inches
area = πr₂² = 144π in²
ratio of areas = (9π)/(144π) = 9/144 = 1/16
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function. Which of the following equations represents that function?
A.h(x)=x^2+2
B.h(x)=0.5x^2+1.5
C.h(x)=2x^2
D.h(x)=x+2
Given:
The points (0,2), (1,3), (2,6), and (3,11) are on the graph of a function.
To find:
The function.
Solution:
In option A,
[tex]h(x)=x^2+2[/tex]
Putting x=0, 1, 2, 3 respectively, we get
[tex]h(0)=(0)^2+2=2[/tex]
[tex]h(1)=(1)^2+2=3[/tex]
[tex]h(2)=(2)^2+2=6[/tex]
[tex]h(3)=(3)^2+2=11[/tex]
The function passes through the points (0,2), (1,3), (2,6), and (3,11). So, [tex]h(x)=x^2+2[/tex] is the required function.
In option B,
[tex]h(x)=0.5x^2+1.5[/tex]
At x=0,
[tex]h(0)=0.5(0)^2+1.5=1.5\neq 2[/tex]
So, option B is incorrect.
In option C,
[tex]h(x)=2x^2[/tex]
At x=0,
[tex]h(0)=2(0)^2=0\neq 2[/tex]
So, option C is incorrect.
In option D,
[tex]h(x)=x+2[/tex]
At x=2,
[tex]h(2)=(2)+2=4\neq 6[/tex]
So, option D is incorrect.
Therefore, the correct option is A.
Your car repair bill was $390. You were charged $215 for parts and $35 per hour for labor.
How many hours did the repairs take?
Answer:
5 hours
Step-by-step explanation:
subtract 390 by 215 to get 175 then divide 175/35 to get 5
The graph shows two lines A and B:
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (1 point)
A. (4, 2) is the solution to line A but not for line B
B. (4, 2) is the solution to both lines A and B
C. (0, 0) is the solution to both lines A and B
D. (0, 0) is the solution to line A but not for line B
You buy rice at $0.71 a pound. One batch of fried rice requires 9 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent.
Answer:
$6.39
Step-by-step explanation:
b= batch
1b=$0.71
9b=?
9b=9($0.71)
9b=$6.39
6. HANG GLIDING Aida
was hang gliding. After losing
35 feet in altitude, she was
gliding at 125 feet. Write and
solve an equation to find her
height when she started hang
gliding.
Answer:
35+125=160
She was 160 feet up when she began hang gliding
Answer:
160
Step-by-step explanation:
let A represent Aida hang gliding
we know that she was at 125 ft in the air
we know that she lost 35 ft in altitude
so the equation would be
125=A[-35]
what is boxed you change the opposite so the opposite of subtraction would be addition.
125=A[-35]
125=A+35
now we move the +35 under 125
if we add 125 and 35 it would give us 160 so the answer would be 160
5 point
Aaron has $36.00 from doing yard work. He gave 1/4 of his $36.00 to his
brother Ryan. How much of his money is still leftover?
Answer:
$27 is left over.
Step-by-step explanation:
If you divide 36 by 4, you can find out what 1/4 of 36 is. 36/4 = 9
This $9 is how much he gave away to his brother. In order to find out how much he has leftover for himself, subtract the $9 from the $36.
36-9 = 27.
Therefore, Aaron has $27 leftover for himself.
Find the gradient of the line segment between the points (2,-3) and (-3,-8)
Answer:
1
Step-by-step explanation:
gradient=
[tex] \frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1[/tex]
At a pet store, a survey was taken asking how many pets each person had. The
results were: (2,5, 3, 1, 0, 4, 2, 7,0, 2, 7,3). What is the mode?
Answer:
2
Step-by-step explanation:
We have these numbers: 2, 5, 3, 1, 0, 4, 2, 7, 0, 2, 7, 3
The mode is the most common value. I can see 3 two's in the data set. The mode is 2.
#SpreadTheLove <3
Which explicit formula is equivalent to ?
WILL GIVE BRAINLEST
Answer:
c i think
Step-by-step explanation:
if im wrong a if its geometric and c if its arithmetic
Challenge The price of Stock A at 9 AM was $15.55. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $13.30. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
Try reading it pver. This is because they are too cashy. Like Duh
Step-by-step explanation:
An inspector working for a manufacturing company hasa 99% chance of correctly identifying defective items and a 0.5% chance of incorrectly classifyinga good item as defective. The company has evidence that 0.9% of the items its line produce isnonconforming.(a) What is the probability that an item selected for inspection is classified as defective
Answer:
Step-by-step explanation:
From the given information:
Let A be the event where an item is identified as defective;
B₁ to be the event where an item is actually defective
B₂ to be the event that the item is good
So;
P(B₁) = 0.009
P(B₂) = 0.991
Probability that an item is classified as defective when it is actually defective is P(A|B₁) = 0.99
Probability that an item is classified as defective when it is actually good is P(A|B₂) = 0.005
∴
Probability of classifying a product as defective = P(A)
P(A) = P(A|B₁) × P(B₁) + P(A|B₂) × P(B₂)
P(A) = 0.99 × 0.009 + 0.005 × 0.991
P(A) = 0.0139
P(A) = 1.39%
An artist wants to make a particular teal color paint by mixing a 75% blue hue and 25% yellow hue. He mixes a blue hue that has 85% pure blue pigment and a yellow hue that has 60% of pure yellow pigment. What is the percent of pure pigment that is in the resulting teal color paint?
If a pound of coffee costs 12. How many ounces can be brought for 3.90
A loss of 10 pounds, can u help me please
Answer:
B
Step-by-step explanation:
help please and thank youu
Answer:
c
Step-by-step explanation:
number number number number
what are the answers to these questions? need help asap
Need Help please,
Which graph is generated by this table of values?
Answer:
y=3x-6
Step-by-step explanation:
use 2 of the points for y=a×x+b
we use (2,0) and (3,3) as an example
we get
0=2a+b & 3=3a+b
so
3-0=3a+b-(2a+b)
3=a
b=-6
What could you do to find the amount to each person must pay? Explain.
P(t) =8000(1.08)^t
What is the year the population reaches 11755
Answer:
Step-by-step explanation:
Your answer
P(t) = 8000(1.08)^t= 11755
.. ..... (1.08)^t= 1.469375
........ t = 5
Mark it as Brainlist answer. Follow me.
What is m∠P? Enter only value in your response.
Answer:
Is there a photo I can look at to determine the answer?
Step-by-step explanation:
Identify the first 4 terms in the arithmetic sequence given by the explicit formula f(n) = 8+3(n-1)
Solve the equation
t−3.7=1.2
Answer:
t=4.9
Step-by-step explanation:
Answer:
t=4.9
Step-by-step explanation:
t-3.7=1.2
t-3.7+3.7=1.2+3.7
t=4.9
P-21=34 P=34-21 P=13
What is the value of p?
Simplifying
P + -21 + -21 = 34 + -21
-21 + -21 + P = 34 + -21
Combine like terms: -21 + -21 = -42
-42 + P = 34 + -21
Combine like terms: 34 + -21 = 13
-42 + P = 13
Solving
-42 + P = 13
Solving for variable 'P'.
Move all terms containing P to the left, all other terms to the right.
Add '42' to each side of the equation.
-42 + 42 + P = 13 + 42
Combine like terms: -42 + 42 = 0
0 + P = 13 + 42
P = 13 + 42
Combine like terms: 13 + 42 = 55
P = 55
Simplifying
P = 55
Phil and Matt made a total of $72.00 selling the cookies. How many cookies
did Phil make and how many cookies did Matt make?
Answer:
36
Step-by-step explanation:
It would only be 36 if they split the amount though
Based on a linear equation, we will see that they sold a total of 288 cookies.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We have been given that Phil and Matt sell cookies for $0.25 each,
Thus, if they sell x cookies, the total revenue is:
R(x) = $0.25x
Now, we know that they made a total of $72.00,
Therefore, we need to solve the linear equation:
$0.25x = $72.00x
= $72.00/$0.25 = 288
Hence, they sold 288 cookies.
Learn more about linear equations:
brainly.com/question/1884491
#SPJ2
in. 2 4 in. 5 in. 3 in.
whats the volume
Answer:
not sure what shape you meant need more info but it should be 360 inches
^3
Step-by-step explanation: