Answer:
y
=
x
2
+
5.05
x
+
6.3
Step-by-step explanation:
Gabe Amodeo, a nuclear physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?
Answer:
You need two equations: one for solution amounts and one for alcohol amounts.
Step-by-step explanation:
90 = X + Y
45 = (0.6)/X + (0.3)Y
Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.
From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get
X = 30 liters and Y = 60 liters.
Which Fraction is equivalent to 3/12?
3/4
1/4
3/36
Answer:
1/4
Step-by-step explanation:
3/12 ÷3= 3÷3=1 and 12÷3=4
Match the numbers on the left with their equivalent forms on the right.
1. 2/25 46%
2. 23/50 70%
3. 14/20 0.08
4. 90% 0.9
Answer:
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
Step-by-step explanation:
To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
Charles has $54.50 saved. He will save $33.25 each week for 30 weeks. How much money will Charles have after 30 weeks?
Answer:
The answer is
1052
Answer:
Charles will have $1,052 after 30 weeks
Step-by-step explanation:
Charles has $54.50 saved.
He plans to save $33.25 each week.
This means that the first week he will have $54.50 + $33.25 = $87.75
When 30 weeks have passed, he will have:
$54.50 + $33.25 * 30 = $54.50 + $997.50 = $1,052
Charles will have $1,052 after 30 weeks
PLS HELP ME WITH THIS ALGEBRA!
A salt solution contains 10% salt and weights 80g. How much pure water must be added so that the percentage of salt drops to 4%
Answer:
120 gStep-by-step explanation:
A salt solution contains 10% salt and weights 80g.
Salt content of the solution is:
80*0.1 = 8 g4% solution has 8 g salt, total solution is:
0.04x = 8x = 8/0.04 = 200 gWater to be added:
200 - 80 = 120 g9. Which of the following relations is a function?
A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (- 1,9)}
B. {(-2, - 4), (-1, 7), (1, - 1), (1, 1), (3, 9)}
C. {(-4, 9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6)
D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
The relation which is a function is given by the set relation
A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { 0 , 1 , 2 , 3 , 4 }
Now , the values of y = { 4 , -4 , 4 , 4 , -4 }
And , relation is a function if and only if there exists one value in the range for every domain value.
So , the domain are all having significant and definite ranges
Therefore , the relation is A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
Hence , the function is denoted by A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
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The weights of 1000 onions from a certain farm follow a normal distribution with a mean of 150 g and a standard deviation 15 g from the data we can conclude that about blank onions way more than 165 g in about blank onions way less than 135 g
Answer:
About 159 weigh more than 165 g and about 159 g weigh less Than 135 g
Step-by-step explanation:
Given that :
Mean, μ = 150
Standard deviation, σ = 15
Using the Zscore formula :
Zscore = (x - μ) / σ
For x > 165
P(x > 165)
Z = (165 - 150) / 15
Z = 15 /15 = 1
P(Z > 1) = 0.15866 (Z probability calculator)
1000 * 0.15866 = 158.66 = 159
For x < 135
P(x < 135)
Z = (135 - 150) / 15
Z = - 15 /15 = - 1
P(Z > - 1) = 0.15866 (Z probability calculator)
1000 * 0.15866 = 158.66 = 159
Answer:
160 and 160
Step-by-step explanation:
each section is 16% of the whole.
3/5 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?
15
25
16
20
Answer:
25
Step-by-step explanation:
15=Girls
10=Boys
25 =The total of the number of students
Pls help me, i really need help!
Answer:
Step-by-step explanation:
a) c/8
b) 16+5p
c) (x+5)-5
Answer:
9. 80
Step-by-step explanation: ssssssse
At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
Which statements comparing the two rentals are correct?
Select all that apply.
A. For 1 hour, both companies charge the same amount
B. For 1 hour, company A charges more than company B
C. For 2 hours, both companies charge the same amount
D. For 3 hours, company A charges more than company B
E. For 4 hours, company B charges more than company A
Answer:
a,c,e
Step-by-step explanation:
Answer:
B, C, & E
Step-by-step explanation:
What is the range? The range is __
Answer:
8
Step-by-step explanation:
Take the biggest value and smallest value, and subtract the smallest value from the biggest value:
9-1=8
The range is 8
The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,
9 - 1, and your answer is 8
In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these results, how many people out of 4500 would say they prefer red apples?
A.1830
B.2670
C.3084
D.4322
Answer:
2670
Step-by-step explanation:
4500/300 = 15
178*15=2670
Given that line AD ll to line EH, find the measure of
Answer:
x=7.5
Step-by-step explanation:
Since AD II EH, ∠CBD=∠BFH (alternate angles)
2x+60=10x
8x=60
x=7.5
Answer:
x = 7.5
each angle measures 75°
Step-by-step explanation:
the two angles are corresponding, meaning they are equal
10x = 2x + 60
8x = 60
x = 7.5
A diet claims to help lose weight. A dietician wants to see if a particular diet helps lose weight. 120 people were on the diet for 6 months. After 6 months, the sample mean of weight loss was 0.8 pound with sample SD of 2 pounds. The distribution is more or less normal. What kind of hypothesis testing do we use
Answer:
d. t-test for means
Step-by-step explanation:
Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"
Sample size = n = 120
Sample mean = x = 0.8
Sample standard deviation = s = 2
Claim: A particular diet helps loss weight.
Hypothesis test
The null and alternative hypothesis is
H0 : μ = 0
Ha : μ < 0
Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
Can someone help, marking Brainly ! Thank you if you do help .
Answer:
in order
y=0
y=1
y=2
y=3
y=4
y=5
Pls help will give brainlest to first person who answer correct 50 points
Answer:
-25/3
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
x = - 25/3Step-by-step explanation:
10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/36(2x - 5) = -(x + 4)
[tex]6(2x - 5) = - (x + 4)[/tex]
[tex]12x - 30 = - x - 4[/tex]
[tex]13x = 26[/tex]
[tex]x = 2[/tex]
Answer:
x = 2
Step-by-step explanation:
Solve for x:
6(2x - 5) = -(x + 4)
Use the distributive property.
12x - 30 = -(x + 4)
12x - 30 = -x - 4
Add x to both sides.
13x - 30 = -4
Add 30 to both sides.
13x = 26
Divide both sides by x.
x = 2
Your final answer would be x = 2
What is 55 percent of 880?
Answer:
55% of 880= 484
Step-by-step explanation:
Pls help I’m failing math I’ll brainlest
Answer:
z=-9 - 5.4
hope it helps
Step-by-step explanation:
please mark me brainliest
Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2
Answer:
Yes
Step-by-step explanation:
3(x+5.50)-3
3x+16.50)-3
-3(3x+16.50)
A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis
PLEASE HELP ME!!! Find the area of the shaded region.
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Fraction Problem Solving
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Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓
how many 1/2 kg packets of salt can you obtain from 18 kg of salt
Answer:
36
Step-by-step explanation:
18 × 2 = 36
Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg
(Click the Picture for my question) and thank you!
Answer:
D
Step-by-step explanation:
By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:
[tex]\displaystyle \pi=\frac{C}{d}[/tex]
In fact, if you multiply both sides by the diameter d, you can see that:
[tex]C=\pi d[/tex]
Which is the formula for circumference you've been commonly taught.
Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after
12 months.
Answer: Total cost after 12 months is $
Answer:
$340
Step-by-step explanation:
$215 after 7 months including initial membership fee
$25 per month
A year has 12 months, so it's 5 months more than 7 months.
You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.
$25/month * 5 months = $125
The extra 5 months cost $125.
$215 + $125 = $340
Answer: $340
Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.
Answer:
approximately 7 CDs for her bonus
Answer:
Toris can buy about 7 CDs
Step-by-step explanation:
63 Divided by 9 = 7
Is anyone able to check this for me?
Pyragtheom theory
8th grade math
Answer:
Those are both correct
Step-by-step explanation:
To solve for the triangle 12^2+10^2=c^2, and for the other question, you are correct because the hypotenuse is NEVER the shortest side.
I don’t get this please solve it please
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not