Answer:
Step-by-step explanation:
100(13/20)=65%
What is the area of a circle whose radius is 50?
Answer:
area of circle=πr²=π50²=2500πunit²
Nigel has 138 fluid ounces of lemonade. How many 6-fluid-ounce serving of lemonade can he make
Answer:
23, because 138 divided by 6 is 23
He can make 23 servings.
Sumita buys a set of earphones for £12.17. She pays with £15. How much change does she get? Give your answer in £.
She will get $8.01. Hope this helped.
Helppppppp it’s due tomorrow
Answer:
A to f equals 2.5
A to e equals 1.5
a to d equals .5
a to c equals 2
a to I equals 3.5
a to g equals 3
a to h equals 4.5
a to j equals 4
a to k equals 5.5
use the big numbers as landmarks! that's the number before the decimal ( . ) to find the number after the decimal, count the little lines!
A company sells 100 - 0.5x shirts
when it charges %x per shirt. How
many dollars per shirt should the
company charge in order to make
$5,000 on shirt sales?
Answer:
$100
Step-by-step explanation:
We are given that
Company sells shirts=100-0.5x
Charge per shirt=x
We have to find the charge per shirt in order to make $5000 on shirt sales.
According to question
[tex]x(100-0.5x)=5000[/tex]
[tex]100x-0.5x^2=5000[/tex]
[tex]0.5x^2-100x+5000=0[/tex]
[tex]5x^2-1000x+50000=0[/tex]
[tex]x^2-200x+10000=0[/tex]
[tex]x^2-2\times x\times 100+(100)^2=0[/tex]
[tex](x-100)^2=0[/tex]
[tex]x=100,100[/tex]
Hence, charge per shirt=$100
How many gallons of a 25% acid solution should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution?
Answer:
16 Gallons
Step-by-step explanation:
x = 25% gallon amount
.25 x + .12 (10) = .20 (10+x)
.05x = .8
x = 16 gal of 25%
The number of gallons of acid solution that should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution is 16.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
The percentage of acid in gallon solution = 25%,
The percentage of acid in 10 gallons = 12%
Suppose there are x total gallons,
Write the equation as shown below,
25% of (x - 10) + 12% of 10 = 20% of x
0.25 × (x - 10) + 0.12 × 10 = 0.2x
0.25x - 2.5 + 1.2 = 0.2x
0.25x - 0.2x = 2.5 - 1.2
x = 1.3 / 0.05
x = 26
Thus, the number of gallons of 25% acid solution = 26 - 10 = 16.
To know more about equation:
https://brainly.com/question/12788590
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Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) + 8 = 2(x + 5)
Step 2: Solve for x
(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10Combine like terms: 3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)Multiply: 18 + 8 = 26Add: 26 = 26Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
can someone please help me with this math problem thank you.
Find the square root of the following decimal numbers.
Answer:
[tex] \huge \boxed{ \tt i)1.6} \\ \huge \boxed{ \tt ii)4.3} \\ \huge \boxed{ \tt iii)8.3} \\ \huge \boxed{ \: \: \: \: \tt iv)9.2 \: \: \: }[/tex]
Step-by-step explanation:
to understand thisyou need to know about:square rootfinding square root by division methodconverting decimal to a fractionPEMDAStips and formulas:tips for finding square root by division method
Group the digits in pairs, starting with the digit in the units placeThink of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend. Repeat steps till all the periods have been taken uptips for converting decimal to a fraction
Write down the decimal divided by 1Multiply both top and bottom by 10 for every number after the decimal pointreduce the fractionlet's solve:solve the square roots using division method:
the picture is attachedsolve the square roots by converting decimals into fraction:
[tex] \tt i) \sqrt{2.56} \\ \tt \sqrt{ \frac{256}{100} } \\ \tt \sqrt{ \frac{1 {6}^{2} }{ {10}^{2} } } \\ \tt\frac{16}{10} \\ \tt \: 1.6[/tex]
[tex] \tt ii) \sqrt{18.49} \\ \tt \sqrt{ \frac{1849}{100} } \\ \tt\sqrt{ \frac{ {43}^{2} }{ {10}^{2} } } \\ \tt \frac{43}{10} \\ \tt 4.3[/tex]
[tex] \tt iii) \sqrt{ 68.89} \\ \tt \sqrt{ \frac{6889}{100} } \\ \tt \sqrt{ \frac{ {83}^{2} }{ {10}^{2} } } \\ \tt \frac{83}{10} \\ \tt 8.3[/tex]
[tex] \tt iv) \sqrt{84.64} \\ \tt\sqrt{ \frac{8464}{100} } \\ \tt\sqrt{ \frac{ {92}^{2} }{ {10}^{2} } } \\ \tt \frac{92}{10} \\ \tt9.2[/tex]
Answer:
1.6
4.3
8.3
9.2
Step-by-step explanation:
Hope it is helpful....
Simplify.
34x−7+2(x−2)
Answer:36x-11
Step-by-step explanation:
Answer: 36x-11
34x-7+2(x-2)
34x-7+2x-4
36x-11
Step-by-step explanation:
Identify the expression 64^(1/2) shows the following number rewritten as a radical.
√(1/2&64)
√64
1/2 √64
8
Show your work.
Answer:
√64
Step-by-step explanation:
In mathematics, an expression involving the root (√) sign is regarded as a radical.
64^(1/2)
This is the same as;
√64
- √(1/2&64) This option is wrong.
- √64 This option is correct
- 1/2 √64 This option is wrong.
- 8 This option is wrong.
d = (4 x 180) - (3 x 90)
Answer:
d = (4 x 180) - (3 x 90) = 450Step-by-step explanation:
d = (4×180) - (3×90)
d = (720) - (270)
d = 720 - 270
d = 450
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern?
A) H: 25.3.
B) H: > 25.3.
C) H u <24.5.
D) Hu> 24.5. 27.
Answer:
[tex]H_1 : \mu > 24.5[/tex]
Step-by-step explanation:
From the given information:
The sample size is 28
The population mean is 24.5 (ppb)
The sample mean is 225.3 (ppb)
Thus, the null and the alternative hypothesis can be computed as:
Null hypothesis:
[tex]H_o : \mu \le 24.5[/tex]
Alternative hypothesis:
[tex]H_1 : \mu > 24.5[/tex]
The alternative hypothesis addresses their concern which is Hₐ: μ > 24.5. Then the correct option is D.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Perchlorate is a chemical used in rocket fuel.
People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water.
Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less.
A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb.
The null hypotheses and alternative hypotheses can be given as
Null hypotheses
H₀: μ ≤ 24.5
Alternative hypotheses
Hₐ: μ > 24.5
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
A square has sides of 10x. Write and simply an expression for the perimeter square
Answer:
4(10x) = 40x
Step-by-step explanation:
Assuming you meant that each side has 10x, and not the sum of each side is 10x. Since each side has 10x, and every square has equal sides of 4, we can utilize parenthesis.
4 = number of sides
10x = given length of each side
4(10x) = 40x
Same as saying 4 × 10x = 40x.
A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3:5:7. The total amount is $ 1856.
Find the number of each denomination.
Answer:
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Step-by-step explanation:
The total amount of coins is given by x.
Ratio 3:5:7
[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.
[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.
[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.
The total amount of money is $1856.
This means that:
[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]
Multiplying everything by 15
[tex]3x + 2.5x + 1.75x = 27840[/tex]
[tex]7.25x = 27840[/tex]
[tex]x = \frac{27840}{7.25}[/tex]
[tex]x = 3840[/tex]
Amount of coins of 1 dollar:
[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]
Amount of 50 cent coins:
[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]
Amount of 25 cent coins:
[tex]\frac{7*3840}{15} = 1792[/tex]
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]
[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]
Using formula:
[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]
[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]
[tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]
[tex]\to Sp = 4.0716[/tex]
Calculating the value of standard error:
[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]
[tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]
Calculating the value of test statistic:
Formula:
[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]
[tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]
Calculating the value of Degree of freedom:
[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]
Because the P-value is a 2-tailed test = 0.0018
Thus they reject H0, because of P-value < 0.05,
Yeah, certain data show clearly that the means are different.
Can someone help? And show me how to get the answer please..
Answer:
2.6 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume (V) of cylinder = 258¾ in³
Height (h) of cylinder = 12 in
Radius (r) =.?
NOTE: Pi (π) = 3.14
The radius of the cylinder can be obtained as follow:
V = πr²h
258¾ = 3.14 × r² × 12
258.75 = 37.68 × r²
Divide both side by 37.68
r² = 258.75 / 37.68
Take the square root of both side
r = √(258.75 / 37.68)
r = 2.6 in
Therefore, the radius of the cylinder is 2.6 in.
Write an equation to model the situation and
solve. (4 points)
14) Jill works at a cell phone store. Jill earns
$170 every week plus $65 for every phone
(p) that she sells. If Jill makes $625 at the
end of the week, how many phones did
she sell?
Equation:
Answer:
Step-by-step explanation:
I think 65 divided by 625 is 104 phones jill sold srry if I’m wrongI’m just a kid trying to figure out all this work
please help. It’s really easy just the question is worded weirdly and I don’t get it.
Answer:
d
Step-by-step explanation:
Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially.
a)
Write an equation that models this situation.
b)
How much radioactive substance is remaining after 12 days?
c)
Find the time when there will be 1g of the substance remaining.
Answer:
a) 10(5g + 2r) weight loss over time
b) 20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50) or 5(5 + g) = 30g
c) 30g = 12 days = 3/5 therefore 5/5 -3/5 = 2/5 = 2/5 x 50 (g) = 20g in 8 days lost
8/20 = 0.4 loss each day 50g - 0.8g = 20-2 = 18 days.
Step-by-step explanation:
Which of the following does the graph below represent?
A. Ratios that are not equivalent
B. Equivalent ratios
C. Cannot tell from the graph
Answer:
Step-by-step explanation:
You cannot tell from the wiggly line! If that is supposed to be a straight line, you have equivalent ratios from point to point.
Aliyah's school is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 14 student tickets for a total of $220. The school took in $188 on the second day by selling 11 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket? Write answer as an ordered pair.
Answer:
Step-by-step explanation:
a and s are the numbers of adult and student tickets, respectively.
9a + 14s = 220
11a + 7s = 188 Multiply by -2 and add to first equation.
-22a - 14s = -376
9a + 14s = 220
-----------------------
-13a = -156
a = 12
9(12) + 14s = 220
14s = 112
s = 8
Adult tickets cost $12. Student tickets cost $8.
QUICK HELP FIRST ONE TO ANSWER ILL MARK BRAINLIEST A rectangular prism has a square base whit a side length of 6 centimeters the height of the prism is 9 centimeters.what is the volume of the rectangular prism is cubic centimeters
Answer:
324 centimeters³
Step-by-step explanation:
The base is square so the length and width are both 6. The height is 9. The formula to solve a rectangular prism's volume is length x width x height. In this case it's 6 x 6 x 9. This is 324.
Hope it helps!
A 1 km long train travelling at a speed of 60km/h enter a tunnel 1km long. What time will the train take to come out of the tunnel fully.
Answer:
2 minutes
Step-by-step explanation:
The front of the train enters the tunnel and travels 1 km before the rear of the train enters the tunnel. Thus, the total distance traveled by the front of the train is 2 km, and this is covered in a certain number of hours:
Since distance = rate times time, time = distance / rate. In this particular case we have:
2 km
time = distance / rate = ------------------- = (1/30) hr
60 km/hr
(1/30) hr converts to 2 minutes, since 1 hr = 60 minutes
A security keypad uses five digits (0 to 9) in a specific order. How many different keypad patterns are possible if the first 4 digits must be even and the last digit cannot be zero, one or two?
Number of possible codes =
Answer:
g
Step-by-step explanation:
Kevin draws out one M&M without looking.
· What is P(green)?
· What is P(red)?
· What is P(~Yellow)?
· What is P(~Orange)?
Answer:
1/6
Step-by-step explanation:
M&M comes in 6 colors.
So, P(green), = 1/6
P(red) = 1/6
· P(Yellow) = 1/6
· P(Orange) = 1/6
help me please I'll give you brainliest
Answer:
x means
Step-by-step explanation:
10x means that the x is something you would times to get the number you want which is 44 so 10 times x=4. hope this helped :)
Answer:
15
Step-by-step explanation:
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
6x = 90
x = 15
Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.02 . How much does an average movie ticket cost in each of these countries?
Answer:
In costs $17.19
Step-by-step explanation:
Use the given information to find the measures of all angles formed by parallel lines a,b, and transversal m. The sum of two angels is 68 degrees
Answer:
There is not enough information to solve the problem.
Step-by-step explanation:
The question only gives the information that two angles are summing up to 68 degrees, but doesn't state what angles. As such, we can't determine any angles formed by parallel lines a and b, and transversal m.
A line passes through the points (4,9) and (12,20) what is the slope of the line?
Answer:
11/8
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
20 - 9 = 11
12 - 4 = 8
slope = 11/8