Answer:49
Step-by-step explanation:
Help please.
Solve for the unknown variable for the following similar shapes.
Laura is stuck in aisle six at the supermarket trying to decide which jar of peanut butter to buy she can buy a 16-ounce jar for $2.59 or 24- ounce jar for $3.29. Which jar has a lower unit price per ounce? Show your calculations and reasoning. REAL ANSWERS ONLY
9514 1404 393
Answer:
24-oz jar is lower cost per ounce
Step-by-step explanation:
The 16-ounce jar is almost $2.60. The 24-ounce jar contains half again as much peanut butter (16 +1/2·16 = 24). So, if the 24-ounce jar were the same price, it would cost half-again as much:
$2.60 +(1/2)2.60 = $2.60 +1.30 = $3.90.
The 24-ounce jar is priced considerably below that amount, so the 24-ounce jar has a lower price per ounce.
__
You could also view the 16-ounce jar as 2/3 the quantity of the 24-ounce jar. If it were the same price, that price would be about (2/3)$3.30 = $2.20. The 16-ounce jar is somewhat more than that, so costs more per ounce.
_____
Additional comment
For the estimates we did here, we needed prices that were divisible by 2 or 3. That involved adding a penny to the given price. So, the estimated equivalent price is off by a penny or so--not an issue in this case.
Note that we didn't actually need to find the per-ounce prices. We only needed to find the price for an equivalent number of ounces, which is much easier mental arithmetic.
On planet Umpt, there are 8 mimstoons to every 11 hoots. If farmer grapple has 60 hoots on his Kent farm, how many mimstoons are on the farm?
Answer:
480/11
Step-by-step explanation:
8:11 as x:60
480 = 11x
x= 480/11
Pls mark Brainiest :)
A farmer notes that in a field full of horses and geese there are 36 heads and 106 feet. How many of each animal are there?
Answer:
17 horses and 19 geese
Step-by-step explanation:
Let x be the number of horses and y be the number of geese
We know that, horses have four feet and geese have 2 feet
It is given that
x+y=36 (i)
and
4x+2y=106 (ii)
Solve the two equations simultaneously by substitution,
From equation (i)
y=36-x (iii)
Substitute y with 36-x in equation (ii)
4x+2(36-x)=106
4x+72-2x=106
4x-2x=106-72
2x=34
x=17
Then
Substitute x=17 to equation (iii)
y=36-17=19
x=17, y=19
We therefore have 17 horses and 19 geese
Solve for x.
3 (4-2x) = -2x
A)-1
B)1
C)2
D)3
[tex]3(4 - 2x) = - 2x[/tex]
Distribute 3 in the expression.[tex]12 - 6x = - 2x[/tex]
Solve the equation for x-term by making x as the subject.[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]
Answer Check by substituting the value of x in the equation.[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]
The equation is true when x = 3. Therefore the answer is D. 3
Answer[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]
Answer:
solution
Step-by-step explanation:
3 (4-2x)= -2x
12-6x= -2x
12= -2x+6x
12= 4x
12÷4= x
3= x
D
Which equation represents the following table?
Answer:
y=2x-4
Step-by-step explanation:
gdgdvdjsksevsg
the radius of a circle is 9 M what is the circle's circumference use 3.14 for pi
Answer:
56.52 is the circumference. If the radias is 9 and the diameter is then 18.
Step-by-step explanation:
Answer:
56.52 is the circumference. If the radias is 9 and the diameter is then 18.
Step-by-step explanation:
Convert to an improper fraction.
2 1/5
Answer:
11/5
Step-by-step explanation:
2 x 5 = 10
10 + 1 = 11
11/5
Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.
Answer:
Step-by-step explanation:
exponential decay
rate of change: 20%
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Answer:
the ones with 16 dollar jeans
There are 90 passengers on a commuter flight from SFO to LAX, of whom 27 are traveling on business. In a random sample of five passengers, use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.
Answer:
0.8401 = 84.01% probability that there is at least one business passenger.
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
Samples of 5, so [tex]n = 5[/tex]
90 passengers, so [tex]N = 90[/tex]
27 traveling on businnes, so [tex]k = 27[/tex]
Probability that there is at least one business passenger.
Either none are on business, or at least one is. The sum of these probabilities is 100% = 1.
Probability of none on business:
[tex]P(X = 0) = \frac{C_{27,0}*C_{63,5}}{C_{90,5}} = 0.1599[/tex]
Probability of at least one business passenger:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1599 = 0.8401[/tex]
0.8401 = 84.01% probability that there is at least one business passenger.
(30 POINTS) Select the correct answer.
Which equation has no solution?
A. 1/2(8x + 6) -2x = -3(2x + 1)
B. -4(1/2x + 2) = -2x - 8 + 4x
C. 7(x + 2) - 3x = 2/3 (6x + 3)
D. -2x + 5 - 3x + 12 = -5(x - 3) + 2
Answer:
C. 7(x + 2) - 3x = 2/3 (6x + 3)
Step-by-step explanation:
ANSWER FROM PLATO
When solving an equation, if the variable terms cancel out leaving different numbers on each side of the equal sign, then the equation has no solution.
Consider the following equation:
7(x + 2) - 3x = 2/3 (6x + 3)
7x + 14 - 3x = 4x + 2
4x + 14 = 4x + 2
14 = 2
Therefore, the equation has no solution.
A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Yi denote the number of times exit i is chosen in successive runnings. For the following, assume that the rat chooses an exit at random on each run.
Required:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
Answer:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
=0.823
Step-by-step explanation:
Multinomial distribution
p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)
The rat chooses of the three exists at random:
p = 1/3
p(3,2,1) = 6! / 3! 1! 2! (1/3)^3 (1/3)^1 (1/3)^2
=20/243
=0.823
question 4/3 y=1 what is y?
Answer:
y= 3/4
Step-by-step explanation:
Answer:
y=3/4
Step-by-step explanation:
4/3y=1
divide both sides by 4/3
1 divided by 4/3 is 3/4 so:
y=3/4
1. Simplify: (-9x3 + 4x2 – 5) - (14x2 - 10x - 3)
Show work please
Answer:
I got -9x^3-10x^2+10x-2
Step-by-step explanation:
The value of A is? The value of B is?
Answer:
C+B
Step-by-step explanation:
you add A + B = C
Answer:
A=10
B=35
Step-by-step explanation:
Tim has 54 golf balls. He wants to put an equal number of golf balls in each of 9
baskets. How many golf balls will be in each basket?
CLEAR
SUBMIT
5 golf balls
6 golf balls
7 golf balls
8 golf balls
answer ???????????????????????
Answer:
6a + 6 is answer
Step-by-step explanation:
may be this is helpful!
[tex]\frac{1}{3}x+6=8[/tex]
It snowed 134.46 inches on Monday and 8.3 inches on Tuesday. How much did it snow on Monday and Tuesday combined?
Answer:
142.76 inches
Step-by-step explanation:
This is a combination problem, so add the two quantities to find the sum.
134.46 inches + 8.3 inches = 142.76 inches
SOLVE:
24 - 24 : 3 + 1
Answer
17
its a division sign for : so 24-24 divided by 3 + 1
What is the area of the figure?
Answer:
252 in²
Step-by-step explanation:
Just separate them into different shapes and add their areas together.
Answer:
252 Inches
Step-by-step explanation:
We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.
Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is 2.7 times less than the price of ice cream, how much lemonade can you buy if you decide to spend all your money on it
Answer:
198
Step-by-step explanation:
From the equation, the number of lemonade will be 306.
How to solve the equation.Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:
= $245/70
= $3.5
The price of a glass of lemonade is 2.7 times less, the price will be:
= $3.5 - $2.7
= $0.8
Therefore, the number of lemonade that can be bought will be:
= 245/0.8
= 306
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Solve 3|x – 6| = 12. Question 13 options: No solutions x = 4 or x = –4 x = 10 or x = 2 x = 2
Answer:
x=10
Step-by-step explanation:
divide by 3 on both sides then add 6 on both sides
Answer:
the answer is x=10, x=2
Step-by-step explanation:
hope that helps
15) A store is having a sale during which all outdoor furniture is 45% off the original price, p. If
the post-sale price of an outdoor furniture set can be calculated using the expression p
0.45p, which expression also represents the price?
Answer and explanation:
Given that there is 45% off original price of outdoor furniture and price is represented by p
Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p
Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p
11/(x+9)=5
I am struggling with this question. Is there a solution?
Answer:
x=-6.8
[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]
What is the solution to the equation? sqrtx + 3 = 12 HINT: It's not C.
A. 225
B. 81
C. 3
D. No solution
Given the equation: - 4 √x - 3 = 12
solve for x;
Divide both sides by -4 in [1]; we get;
√x - 3 = -3
Squaring both sides we get;
x -3 = (3)²
or
x - 3 = 9
Add 3 both sides we get;
x - 3 + 3 = 9 + 3
Simplify:
x= 12
Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.
Substitute x= 12 in [1]
- 4√12 - 3 = 12
- 4√9 = 12
-4. 3 = 12
-12 = 12 False.
Therefore, the value of x is 12 and it is an extraneous solution.
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Simplify the expression 15-24divide3•2+13=
Answer:
[tex] \frac{ - 9}{19} [/tex]
Step-by-step explanation:
[tex] \frac{15 - 24}{3 \times 2 + 13 } = \frac{ - 9}{19} [/tex]
The longest sea bridge, the Jiaozhou Bay Bridge in China, spans 26.4 miles. The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards. How much longer is the Jiaozhou Bay Bridge, in units of feet, than the Lake Pontchartrain Causeway
Answer:
2.57 yards longer
Step-by-step explanation:
Step one:
given data
We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles
Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards
Required
Unit conversion from yards to miles
Step two:
let us convert 41,940 yards to miles
We know that 1 yard is 0.000568182 miles
hence 41,940 yards is x miles
cross multiply we have
x= 41,940*0.000568182
x=23.83 yards
Hence the difference in their lengths is
=26.4-23.83
=2.57 yards
What is the formula for finding slope
Answer:
M = rise/run is the formula
Step-by-step explanation:
That's it