Solve the proportion below. 55/x=5/6 x=? A. 50 B. 60 C. 56 D. 66
Answer:D)66
Step-by-step explanation:
55 /x = 5/ 6
Step 1: Cross-multiply.
55 /x = 5/ 6
(55)*(6)=5*x
330=5x
Step 2: Flip the equation.
5x=330
Step 3: Divide both sides by 5.
5x /5 = 330 /5
x=66
Answer:
d
Step-by-step explanation:
EMERGENCY I HAVE TO TURN THIS IN TOMORROW!!!!
sally's soccer team played 25 games and won 17 of them. what percent did the team win? please leave an step by step explanation.
The Percentage of Sally's Team Wins :
[tex]\bf{\implies (\frac{Number\;of\;Games\;won\;by\;the\;Team}{Total\;Number\;of\;Games\;the\;Team\;Played}) \times 100}[/tex]
Given : Total Number of Games the Team Played = 25
Given : Number of Games won by the Team = 17
[tex]\bf{The\;Percentage\;of\;Team\;Wins = (\frac{17}{25}) \times 100}[/tex]
⇒ The Percentage of Sally's Team Wins = (17 × 4) = 68%
Sally's soccer team played 25 games and the team won 17 games. What percent of games did the team win?
The fraction [tex]\frac{17}{25}[/tex] represents the number of games that Sally's soccer team won out of all the games the team played.
To find what percent of games the team won, we can turn the fraction [tex]\frac{17}{25}[/tex] into a percent.
17 ÷ 25 = 0.68
0.68 × 100 = 68%
Therefore, Sally's soccer team won 68% of the games they played.
Which number has a 6 with a value 100 times less than the 6 in Phil's number of 126,743
Answer:
60
Step-by-step explanation:
The 6 in 126 743 has a place value of 6000.
A number that is one-hundredth the value of 6000 is
6000/100 = 60
Any number that has a 6 in the tens place has a 6 with a place value of 60.
Two examples are 60 and 124 763.
Anybody know how to do this? I need help
Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?
Answer:
81/16
Step-by-step explanation:
We have [(3^2 * 5^0) / 4]^2
= [ ( 9 * 1) / 4]^2
= (9/4)^2
= 81/16
Answer:
81/16
Step-by-step explanation:
3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared
[(3^2 * 5^0)/4]^2
According to PEMDAS, we work the inside parentheses first
3^2 * 5^0
3^2 = 9
5^0 = 1
9*1 =9
[(3^2 * 5^0)/4]^2
[9/4]^2
I will break this up into parts
9^2/4^2
9^2 =81
4^2 =16
81/16
Can anyone do this 3 questions please....
Answer:
23 ) 60 x raised to 3 , y raised 3 , z raised to 3
25 ) 12 p
Step-by-step explanation:
23 ) volume of a rectangular box = l ×b×h
3x square y * 4y square * 5z square x
60 x raised to 3
25 ) area of a square = side × side
(3×4) p
12 p
5456.3 mi to the nearest mile
Answer:
54.56
Step-by-step explanation:
The number after the point is not 5 or higher
a gray whale traveled 152 kilometers in one day. the whale swam between 7 and 8 kilometers each hour.About how many hours did it take the whale to swim the distance? Show two different ways that you can use compatible numbers to find an answer.Then solve.
Answer:
152/7=21.714 hrs
152/8=19
It took the whale between 19 and 21.7 hours to swim 152 kilometers
Step-by-step explanation:
A circle has a radius of r inches. The area of a circle is represented by the expression
[tex]3.14 {r}^{2} [/tex]The area of a circle is a function of the radius. Does this situation represent a linear or nonlinear function? Explain
Answer: Nonlinear
Step-by-step explanation: If the exponent is to a power other than 1, it is nonlinnear.
The area of a circle, represented by the expression 3.14r², is a nonlinear function because the area changes in proportion to the square of the radius, demonstrating a quadratic change rather than a linear one.
The area of a circle is a function of the radius, represented by the expression 3.14r². This represents a nonlinear function because the area of the circle does not change at a constant rate with respect to the radius. Instead, the area changes in proportion to the square of the radius, which is a defining characteristic of a quadratic or second-degree polynomial function, not a linear one.
To further illustrate, let's consider a circle with a radius of 1 inch, which would have an area of approximately 3.14 square inches. If the radius is doubled to 2 inches, the area becomes approximately 4 times larger, not double, because the area is 3.14 * (2²) = 3.14 * 4 square inches. This quadratic change demonstrates the nonlinearity of the area function in relation to the radius.
What is the foil method of (X+3)(x-4)
Answer:
(x-1) x-12
Step-by-step explanation:
Step 1 : Multiply first term of the first bracket to the first term of the other bracket
Step 2 : Then multiply the first term of the first bracket to the last term of the second bracket.
Step 3 : Now come to the second term of first bracket, multiply second term with first term of second bracket.
Step 4 : Finally multiply last term of first bracket with the last term of the second bracket.
Step 5 : Adding all the answers got from the steps, we get the final answer.
Final answer:
The FOIL method is an algebraic technique for multiplying two binomials, represented as (First, Outer, Inner, Last). For the expression (X+3)(x-4), we apply this method to get x^2 - x - 12 after combining like terms.
Explanation:
The FOIL method is a technique used in algebra to multiply two binomials. The acronym FOIL stands for First, Outer, Inner, Last and refers to the order in which you multiply the terms in the binomials. Applying the FOIL method to the expression (X+3)(x-4), we multiply the First terms (x × x), the Outer terms (x × -4), the Inner terms (3 × x), and the Last terms (3 × -4), then sum them all.
Step-by-step, this looks like:
First: x × x = x^2
Outer: x × (-4) = -4x
Inner: 3 × x = 3x
Last: 3 × (-4) = -12
Now, combine these results to get the final expression:
x^2 - 4x + 3x - 12
Combining like terms, we have:
x^2 - x - 12
The ratio of boys to girls in Anaya’s class is 10 to 15. There are 20 boys how many girls are there
Answer:
30 girls
Step-by-step explanation:
10 x 2= 20
15x2=30
For every 10 boys there are 15 girls. since 20 is just 10 multiplied by 2 you can multiply 15 by 2
i'm not really sure whats the answer is
draw a bar model that shows how the number of hours in March compared with the number of hours in February of this year
Answer: Your answer will be 1,416
Step-by-step explanation: First you see how many day March and February had March had 31 days and 31 days= 744 hours and February has 28 days and 28 days= 672 hours so know I add the two numbers 744 + 672 = 1,416.
Answer:
You should multiply with the days in March which is 744 hours. And then you have to multiply with the days in February witch is 696 and then you have to subtract them.
Step-by-step explanation:
have a nice day.
8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft.
Answer:
not enough information
Step-by-step explanation:
Does anybody know this?! I really need help...
Answer:
70
Step-by-step explanation:
Range is the difference between the lowest and the hist number
Range=max-min
120-50=70
since 120 is the highest number and 50 is the lowest you subtract and get 70
Hope this helps!
I got 83.48 so i think it's B 85%
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
option C (3, 2)
Step-by-step explanation:
We have to solve the system of equation by substitution method.
2x + y = 8 ------(1)
y = -x + 5 -------(2)
Now we substitute the value of y from equation (2) to equation (1)
2x + ( -x + 5) = 8
2x - x + 5 = 8
x + 5 = 8
x = 8 - 5
x = 3
Now from equation (2)
y = -x + 5
y = - 3 + 5
y = 2
Therefore, option C (3, 2) will be the answer.
Sam initially invested $4,500 into a savings account that offers an interest rate of 3% each year. He wants to determine the number of years, t, for which the account will have less than or equal to $7,020. Create the inequality that represents this situation and plot the solution set to the inequality on the number line.
[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&7020\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill \end{cases}[/tex]
[tex]\bf 7020\geqslant 4500(1+0.03t)\implies \cfrac{7020}{4500}\geqslant 1+0.03t\implies \cfrac{39}{25}\geqslant 1+0.03t \\\\\\ \cfrac{39}{25}-1\geqslant 0.03t\implies \cfrac{14}{25}\geqslant 0.03t\implies \cfrac{~~\frac{14}{25}~~}{0.03}\geqslant t\implies \cfrac{56}{3}\geqslant t \\\\\\ 18\frac{2}{3}\geqslant t\impliedby \textit{18 years and 8 months}~\hfill \boxed{0 \leqslant t \leqslant 18\frac{2}{3}} \\\\\\ ~\hspace{34em}[/tex]
check the picture below.
bearing in mind that "t" cannot be less than 0.
Brainliest + Points!
Please explain why choice B is correct!
Answer: its correct because as x increases by 2 the function increases by two at the same time causing answer b to correctly describe what is happening.
Choice B is correct because the function creates a steep slope that increases rapidly (the majority of the other answers are saying that the slope of the function increases slowly, which is not true). Here is an image of the graph of the function:
Divide. Write your answer in scientific notation. 6x10^4/3x10^3
A. 2x10^1
B.9x10^12
C.18x10^7
D.3x10^7
Answer:
A. 2 x 10^1
Step-by-step explanation:
6 x 10^4 / 3 x 10^3
= (6/3) x 10^(4 - 3)
= 2 x 10^1
Answer:
b
Step-by-step explanation:
nb
How to solve this equation?
Answer:
Take it slowly
Step-by-step explanation:
[tex]\bf 5(x-5)^2-9=6\implies 5(x-5)^2=15\implies (x-5)^2=\cfrac{15}{5}\implies (x-5)^2=3 \\\\\\ \sqrt{(x-5)^2}=\sqrt{3}\implies x-5=\sqrt{3}\implies x=\sqrt{3}+5[/tex]
What is the better buy? 1.50 for 5 oz 1.20 for 3 oz
To find the better buy, calculate the unit price of each item by dividing the cost by the weight, and compare them. The first item at $1.50 for 5 oz has a lower unit price ($0.30 per oz) than the second item at $1.20 for 3 oz ($0.40 per oz), so it is the better buy.
Explanation:To determine which is the better buy between two products, you need to calculate the unit price for each and then compare them.
The unit price is the cost per unit of weight or volume.
Calculate the unit price of the second item: $1.20 for 3 oz means the cost per ounce is $1.20 ÷ 3 oz = $0.40 per oz.Compare the unit prices: The first item has a lower unit price ($0.30 per oz) compared to the second item ($0.40 per oz), making it the better buy.Final answer:
To find the better buy between $1.50 for 5 oz and $1.20 for 3 oz, calculate the cost per ounce for each and compare. The first option is cheaper at $0.30 per ounce compared to the second option at $0.40 per ounce.
Explanation:
To determine which is the better buy between $1.50 for 5 oz and $1.20 for 3 oz, we need to calculate the cost per ounce for each option.
Step-by-step Comparison
Calculate the cost per ounce for the first option: Divide $1.50 by 5 oz to get $0.30 per ounce. Calculate the cost per ounce for the second option: Divide $1.20 by 3 oz to get $0.40 per ounce. Compare the two cost per ounce figures: The first option at $0.30 per ounce is cheaper than the second option at $0.40 per ounce.
Therefore, the better buy is the first option, $1.50 for 5 oz, since it has a lower cost per ounce.
here are the first four terms of a sequence. 1/2 4/3 9/4 16/5. find the nth term of this sequence.
Answer:n^2/(n+1)
Step-by-step explanation:
n=1
1^2/(1+1) = 1/2
n=2
2^2/(2+1) = 4/3
n=3
3^2/(3+1) = 9/4
Answer:
n^2/(n + 1)
Step-by-step explanation:
The numerators are the squares of the sequence numbers 1^1 2^2 3^2....
The denominators are the sequence numbers + 1, so the nth term is
n^2/(n + 1).
Select Independent or Not independent for each description of events.
P(A)=0.3, P(B)=0.5, P(A|B)=0.15
P(A)=0.2, P(B)=0.4, P(A|B)=0.2
P(A)=0.6, P(B)=0.2, P(A|B)=0.3
Answer:
When two events X and Y are independent,
Then, P(X ∩ Y) = P(X) × P(Y)
We know that,
[tex]P(\frac{X}{Y})=\frac{P(X\cap Y)}{P(Y)}\text{ and }P(\frac{Y}{X})=\frac{P(X\cap Y)}{P(X)}[/tex]
Thus, by substituting the value of P(X ∩ Y),
[tex]P(\frac{X}{Y})=P(X)\text{ and }P(\frac{Y}{X})=P(Y)[/tex]
Which is the required condition for independent events.
In first option,
P(A)=0.3, P(B)=0.5, P(A|B)=0.15
[tex]\implies P(\frac{A}{B})\neq P(A)[/tex]
⇒ A and B are not independent events
In second option,
P(A)=0.2, P(B)=0.4, P(A|B)=0.2
[tex]P(\frac{A}{B})=P(A)[/tex]
⇒ A and B are independent events.
In third option,
P(A)=0.6, P(B)=0.2, P(A|B)=0.3
[tex]\implies P(\frac{A}{B})\neq P(A)[/tex]
⇒ A and B are not independent events
First Part: Not independent
Second Part: Independent
Third Part: Not independent
Two events A and B are independent if:
[tex]P(A|B)=P(A|B') \\Or,P(B|A)=P(B|A')[/tex]
Given,
[tex]P(A)=0.3, P(B)=0.5, P(A|B)=0.15[/tex]
[tex]P(A)=0.2, P(B)=0.4, P(A|B)=0.2[/tex]
[tex]P(A)=0.6, P(B)=0.2, P(A|B)=0.3[/tex]
[tex]P(A\cap B)=P(A|B)P(B)[/tex]
Then by substituting we get,
[tex]P(A|B)=P(A)[/tex] and [tex]P(B|A)=P(B)[/tex]
Computation of First probability:
So, if the probability is independent it will follow the above conditions.
[tex]P(A|B)=0.15\\P(A)=0.3\\0.3\neq 0.15\\ P(A|B)\neq P(A)[/tex]
So, it is not independent
Computation of second probability:
So, if the probability is independent it will follow the above conditions.[tex]P(A|B)=0.2\\P(A)=0.2\\0.2=0.2\\ P(A|B)= P(A)[/tex]
So, it is independent
Computation of second probability:
So, if the probability is independent it will follow the above conditions.
[tex]P(A|B)=0.3\\P(A)=0.6\\0.3\neq 0.6\\ P(A|B)\neq P(A)[/tex]
So, it is not independent.
Learn More: https://brainly.com/question/11348505
What is the fraction to 50% of 1/3
Answer:
1/6
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{50}{100} = \frac{50}{300} = \frac{1}{6}[/tex]
Please helppppppppp i dont get it
Answer:
well what you do is times it
Step-by-step explanation:
so 14 x 12 and its 168 and 168 x 5 is 840 so its 840 c
can i get brainlyest
your welcome
Need help with this asap!!!
Answer:
C x-3
Step-by-step explanation:
3 less than x - 49
Is means =
less than means - (reversing the order)
x-3 = 49
Answer: C) x - 3 = 49
Step-by-step explanation: X represents the number that we are subtracting things from. 3 is how much (the number that we are) subtracting. 49 is the difference/answer. The problem is pretty much asking us to subtract 3 from x and get 49 as the answer. So, if you wrote that mathematically, the answer would be x - 3 = 49.
Hope that helped, fam!
-Une :D
which is the solution to the inequality?
y+15<3
A. y<-12
B. y>-12
C. y<18
D. y>18
Answer:
A. y<-12
Step-by-step explanation:
y+15<3
To solve this inequality, we need to isolate y.
To do this we will subtract 15 from each side.
y+15-15<3-15
y < -12
The fraction 22/7 is sometimes used as an estimate of is 22/7 a repeating decimal
Answer:
The fraction 22/7 is sometimes used as an estimate of is "pi."
Yes, it is a repeating fraction.
Step-by-step explanation:
22 divided by 7 is 3.142857142857143... going on into infinity. It is an estimate of pi, and does repeat every 6 decimal numbers.
Sue has 7/8 of her book left to read. If she reads another 2/7 of the book how much of the book will she have left?
A 33/56
B 1/5
C 5/8
D 23/40
Answer:
A. 33/56
Step-by-step explanation:
Make them have the same denominator of 56
so you get for the first one 49/56
the second one will be 16/56
subtract both and you get your answer of 33/56
Answer: A. 33/56
Step-by-step explanation:
To get the number of pages left, all we need to do is to subtract 2/7 from 7/8
number of pages left = 7/8 - 2/7
=49 - 16 / 56
= 33/56
Plz answer this question
Answer:
We will need 5 1/3 lbs of hamburger
Step-by-step explanation:
We can use ratio's to solve this problem. We will put breadcrumbs on top and hamburger on bottom.
1/4 c 1 1/3 c
--------- = -----------
1 lb x lbs
Using cross products
1/4 *x = 1 * 1 1/3
1/4x = 1 1/3
Multiply each side by 4
4 * 1/4 x = 4 * (1 1/3)
x = 4 * 1 1/3
We need to convert 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
x = 4 * 4/3
x = 16/3
Now we need to convert it back to a mixed number
3 goes into 16 5 times with 1 left over
x = 5 1/3 lbs