9514 1404 393
Answer:
3
Step-by-step explanation:
Let x represent the number. The problem statement tells you ...
2/3(3x +6) = 10
2x +4 = 10 . . . . . . use the distributive property
x +2 = 5 . . . . . . . . divide by 2
x = 3 . . . . . . . . . . .subtract 3
The number is 3.
__
Comment on the solution
The above shows an "alternative" solution method. The more usual way this might be done is ...
2(3x +6) = 30 . . . . . multiply by 3 to clear fractions
6x +12 = 30 . . . . . . . eliminate parentheses
6x = 18 . . . . . . . . . . . subtract 12
x = 3 . . . . . . . . . . . . divide by 6
Answer:
x=3
Step-by-step explanation:
Write the equation first, 2/3(3x+6)=10
Distribute 2, 2(3x+6)/2
Which equals 6x+12/3=10
Then multiply 3 from both sides 6x+12=30
Subtract 12
6x=18
Divide 6 from both sides
x=3
Antoine is cutting a 5/16 inch board for a project what is 5 5/16 as a decimal
Answer: 5.3125
Step-by-step explanation: To convert a mixed number to a decimal, first you’ll have to drop the 5. Next, convert 5/16 to a decimal by dividing 5.000 by 16, which is 0.3125. Lastly, add 5 and 0.3125 to get a final answer of 5.3125.
Joe's grandma lives 36 blocks up the street from Joe. On Saturday, Joe
rode his bike two-thirds of the way to his grandma's house and then realized he
forgot the present he was going to give her. Joe rode back to his house, got the
present, and rode all the way to his grandma's house. Then he rode straight home.
How many blocks did Joe ride in all? Use labeled sketches, numbers, or words to
solve this problem. Show all your work.
Answer:
108 blocks.
Step-by-step explanation:
Joe's grandmother lives 36 blocks away from Joe.
Joe rode two thirds of the way to the house is 2/3 * 36= 24 blocks.
Then he rode back to his house (1 - 2/3) * 36= 12 blocks.
Then Joe rode back to grandma's house= 36 blocks.
Then he rode straight home= 36 blocks.
Total number of blocks he rode is 24+12+36+36= 108 blocks.
help me please its due 11:45
Find the coordinates for these please :)
please answer the question below
Answer:
The rate of change in the submarine's elevation is 26.0 feet per second.
Step-by-step explanation:
She begins 151 feet below sea level
Thus, her initial point is y₁ = 151 feet below sea level
i.e. at t₁=0 seconds, y₁ = 151 feet below sea level
After descending for the 3 seconds, she is 229 feet below sea level.
Thus, her second point is y₂ = 229 feet below sea level after 3 seconds
i.e. at t₂=3 seconds, y₂ = 229 feet below sea level
The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.
slope = rate of change = (y₂ - y₁)/(t₂ - t₁)
= (229 - 151) / (3 - 0)
= 78/3
= 26.0
Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.
Write an expression for Jameson had 2 cookies and Jared gave him some more
Answer:
x+2
Step-by-step explanation:
Use any letter for a variable. X is the most common.
let's say x is Jameson. To show he got 5 more, add x by 5
x+5
Hope this helps
Answer:
2+n=?
Step-by-step explanation:
Because we do not know the amount Jared gave him and we do not know the total amount either.
Trevor went to the pet store to get a new pet fish. Unfortunately, the selection at the store wasn't very good. Exactly 90% of the fish at the store were goldfish. Trevor wanted any fish, but a goldfish. If there are 140 fish at the store, then how many fish could Trevor choose from?
Answer: 14 fish
explanation: 90% of 140= 126 (if u use a proportion or multiply 0.9x140).
140-126=14
Answer: He has 14 other fish to choose from in the store
Step-by-step explanation:
90% ÷ 100 = .9
.9 × 140 = 126
140 - 126 = 14
What is 3/7 - 1/4? .....
Answer:
Exact Form: 5/28
Decimal Form: 0.17857
Solve the equation
2/3x-6=9
Answer: 2/3-6=9 is equal to = − 2(2x+6)
Answer:
x = 45 over 2 or 22.5
Step-by-step explanation:
ADD 6 to both sides of the equation SimplifyMultiply 3 by the same value to eliminate fraction denominatorsSimplifyDivide 2 by both sides of the equation by the same termSimplifyBrainliest if you can help and provide an answer plus explanation :)
Q: How much money would you save on 10 pounds of blueberries at the less expensive fruit stand? (Hint: Find the cost of 10 pounds of blueberries for each, A and B, then subtract the values.) Remember to explain your reasoning!
Answer:
According to my...calculations, you would save $20.
Step-by-step explanation:
You have to find the ratio/the rate of change, then you multiply it to get to ten pounds. You do the same for the other line. Then you just subtract it.
A= 2 pounds for $12
B= 1 pound for $4
Multiply the two to get to 10, and whatever the number is (5) you multiply 12 by it as well. For B, you multiply by 10. You get $60, for A. $40 for B.
The amount saved would be $20.
you answer 24 questions on a 100 point test correctly and earn 96%.
There are 25 questions in total, each question is worth 4 points.
Your friend earns a grade of 76%on the same test. How many questions did your friend answer correctly?
Answer:
19
Step-by-step explanation:
He gets 6 wrong and 19 correct
Makayla borrows $15200. Some is from her friend at 5% annual interest, 2 times as much as that from her bank at 8% , and the remainder from her insurance company at 4%. She pays a total of $968 in interest for the first year. How much did she borrow from each source?
Answer:
Amount borrowed from friend = 4000
From Bank = 8000
From insurance = 3200
Step-by-step explanation:
Given that:
Amount borrowed = $15200
Let amount borrowed from friend = x
x at 5% = 0.05x
From Bank = 2x at 8% = 0.08*2x = 0.16x
From insurance = 15200 - (x + 2x) at 4%
From insurance = 15200 - 3x at 4% ; (15200 - 3x)* 0.04 = 608 - 0.12x
Interest paid in first year = $968
Simple interest = principal * rate * time
968 =
968 = (0.05x + 0.16x + 608 - 0.12x)
968 - 608 = 0.05x + 0.16x - 0.12x
360 = 0.09x
x = 360 / 0.09
x = 4000
Hence,
Amount borrowed from friend = 4000
From Bank = 2x = 4000 * 2 = 8000
From insurance = 15200 - (4000 + 8000) = 3200
-2 1/4 x 6 8/9 please help
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction and then multiply
[tex]-2 \frac{1}{4}=- \frac{2*4+1}{4} = -\frac{9}{4}\\\\6 \frac{8}{9}= \frac{6*9+8}{9} = \frac{62}{9}\\\\-2\frac{1}{4}* 6\frac{8}{9} = \frac{-9}{4} * \frac{62}{9}\\\\= \frac{-31}{2}\\\\= -15 \frac{1}{2}[/tex]
can we still reduce 4/5 to the lowest term?
Answer:
no as both terms cannot be futher divided.
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2.5 minutes. This process can be described using an exponential probability density function with a mean of 2.5.
a. Find the probability that a customer has to wait more than 4 minutes. (Round your answer to three decimal places.)
b. Find the probability that a customer is served within the first minute. (Round your answer to three decimal places.)
c. The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
Step-by-step explanation:
a)P( a customer has to wait more than 4 minutes )=P(X>4)=e-4/2.5 =0.202
b)probability that a customer is served within the first minute =P(X<1)=1-e-1/2.5 =0.3297
c) here 99th percentile corresponding value =-2.5*ln(1-0.99)=11.51 minutes ~ 12minutes
Answer:
a) 0.2018
b)0.329
c)x=5
Step-by-step explanation:
We are given that This process can be described using an exponential probability density function with a mean of 2.5.
So, [tex]\lambda = 2.5[/tex]
[tex]f(x)=\frac{1}{\lambda}e^{-\frac{1}{\lambda} x}[/tex]
Where x>0 , [tex]\lambda[/tex] > 0
a) Find the probability that a customer has to wait more than 4 minutes.
[tex]P(X>4)=\frac{1}{\lambda} \int\limits^{\infty} _{4} {e^{\frac{-1}{\lambda} x} \, dx[/tex]
[tex]P(X>4)=1-(1-e^{\frac{-4}{\lambda}})\\P(X>4)=e^{\frac{-4}{2.5}}\\P(X>4)=0.2018[/tex]
b)Find the probability that a customer is served within the first minute.
[tex]P(0<x<1)=1-e^{\frac{-1}{2.5}}=0.329[/tex]
c)The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
[tex]P(X>x) \leq 0.01\\e^{\frac{-x}{2.5}} \leq 0.01\\\frac{-x}{2.5} \leq log (0.01)\\x=-2.5 \times log (0.01)\\x=5[/tex]
what is the factterd form for the eqaution 3x^2+8x+4
Answer:
(3x+2)(x+2)
Step-by-step explanation:
1 Split the second term in 3{x}^{2}+8x+43x
2
+8x+4 into two terms.
3{x}^{2}+6x+2x+43x
2
+6x+2x+4
2 Factor out common terms in the first two terms, then in the last two terms.
3x(x+2)+2(x+2)3x(x+2)+2(x+2)
3 Factor out the common term x+2x+2.
Which is the correct equation to find the value of X?
Answer:
The answer would be X=12
Answer:
8x-17 = 5x+19
Step-by-step explanation:
Assuming the two lines that are slightly horizontal are parallel and a straight line cuts through it, both angles should be corresponding angles and they are equal. Thus, 8x-17 = 5x+19.
please answer see the image below
Answer:
49.73Step-by-step explanation:
total area = area of rectangle - area of circle
= (13 x 6) - (π 3²)
= 78 - 28.274
= 49.73 sq. units
A person is studying the relationship between temperature and mental ability. So,
she devised a test in which a group of 10 mice are timed as they run through a maze
which leads to food and water. The researcher repeats the test 3 times with each
group to see how much they improve and she uses three groups.
• Group 'A', does the test under normal room temperature of 76°F.
• Group 'B', does the test in the cold at a temperature of 45°F.
• Group 'C', does the test under a hot temperature of 105°F.
How would you most correctly describe Group 'A' in a statistical study?
Answer:
Group A is a Control Group
Step-by-step explanation:
Please Help I am having one of those dumb moments.
Answer: Which of the following equations is an example of inverse variation between the values x and y?
Explanation: C
please answer the image below
Answer:
301.593Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 4 km radius
h = 8 km
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (4) 8 + 2π (4)²
= 201.062 + 100.531
= 301.593 km²
If alice earns 56% more than wallaceAlice's salary is how many times Wally's salary?
Answer:
Alice's salary is 1.56 times Wally's salary
Step-by-step explanation:
Let Wally's salary = x
Alice's salary = x + 56% of x
= x + 0.56x
= 1.56x
= 1.56 * Wally's salary
Answer:b
Step-by-step explanation:
x + 1 - x = 1
Solve this equation
Please help
Answer:
x=1
Step-by-step explanation:
1+1-1=1
1+1=2
2=1=1
Answer:
[tex]x=Any\ real\ number[/tex]
Step-by-step explanation:
[tex]x+1-x=1\\1=1\\As\ x\ just\ gets\ canceled\ x\ can\ take\ any\ real\ values.[/tex]
Match the reasons to the statements given.
Given:
ABCD
EF contains T
Prove:
ET = FT
Answer:
The reasons and the statements are given as follows;
1. Parallelogram ABCD [tex]{}[/tex] Given
2. BT = TD [tex]{}[/tex] Diagonals of parallelogram bisect each other
3. ∠1 = ∠2 [tex]{}[/tex] Vertically opposite angles
4. BC ║ AD [tex]{}[/tex] Definition of parallelogram
5. ∠3 = ∠4 [tex]{}[/tex] If lines are parallel then alternate interior
angles are equal
6. Triangle BET congruent to Triangle DFT by ASA
7. ET = T_F [tex]{}[/tex] CPCTE
Step-by-step explanation:
Statement [tex]{}[/tex] Reason
1. Parallelogram ABCD The given quadrilateral
2. BT = TD Based on the properties of a parallelogram, the parallelogram diagonals bisect each other
3. ∠1 = ∠2 Vertically opposite angles formed by two intersecting lines are equal
4. BC ║ AD By definition, the opposite sides of a parallelogram are parallel
5. ∠3 = ∠4 Based on the property of equality of the alternate interior angles of two parallel lines
6. Triangle BET congruent to Triangle DFT by Angle-Side-Angle rule of congruency
7. ET = T_F by Congruent Parts of Congruent Triangles are Equal, CPCTE, postulate.
The reasons that matches the statements in the two-column proof is shown in the table attached in the image below.
Recall:
Based on the, CPCTE Theorem, if two triangles are congruent, all its corresponding sides and angles of both triangles are therefore congruent together.The ASA Congruent Theorem justifies that two triangles are congruent if they have two pairs of congruent angles and a pair of included sides that are also congruent.Given parallelogram ABCD, and also, we know that EF contains T, to prove that ET = FT, establish that:
ΔBET ≅ ΔDFT by the ASA Congruence Theorem, then demonstrate that ET = FT by the CPCTE Theorem.
Therefore, the reasons that matches the statements in the two-column proof is shown in the table attached in the image below.
Learn more about ASA Congruence Theorem on:
https://brainly.com/question/3168048
Function f is defined by the equation f(x)=x2
What is f(3)
What does -3/8 x 3/5 x -5/6 equal
It equals 3/16 because I first multiplied the first to fractions together and I know that negative times a positive is negative so we would get a negative and I also multiplied the 2 to get -9/40 and then multiplied -5/6 to -9/40 to get the answer of 3/16!
What is the lease common multiple of 6 and 15
Answer:
It would be 30.
Step-by-step explanation:
60% of the shakes at The Shake Shop have protein powder in them. There are 30 shakes on the menu. How many shakes have protein powder in them?
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Write the equation 22x - 2y = -18 in slope-intercept form (y=mx+b).
Answer:
y= 11x -5
Step-by-step explanation:
Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
The line shows the cost, y, for x classes taken. Write an equation for the line in
slope-intercept form. Show your work.
Answer:
Step-by-step explanation:
The equation for the line in slope-intercept form will be y = 10x + 20.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Marissa's dance studio charges a monthly fee, plus a fixed amount per class.
Assume that the equation of the line in the slope - intercept form as -
y = mx + c
At [x] = 0, [y] = 20.
So, the [y] intercept will be -
[c] = 20.
and slope of the line will be -
m = (40 - 30)/(2 - 1)
m = 10/1
m = 10
So the equation will be -
y = 10x + 20
Therefore, the equation for the line in slope-intercept form will be y = 10x + 20.
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