Answer:
15 euros
Step-by-step explanation:Add the both ratio together then take the of stephen divided by the sum of the ratio then collect like terms them subtract the answer from stephen's share.
I hope this helps.
Answer: Bridget will get $9
Step-by-step explanation:
Let the ratio of sharing between Stephen and Bridget be 4x and x
respectively .
According to the question ,
Stephen gets $27 more than Bridget.
Then ,
4x - x = 27
→ 3x = 27
→ x = 9
Amount of money that Bridget gets = $ 9
Drag the tiles to the correct boxes to complete the pairs. Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.
Answer:
[tex]tanC=\frac{c}{b},[/tex] [tex]sinB=\frac{b}{a},[/tex] [tex]tanB=\frac{b}{c},[/tex] and [tex]cosB =\frac{c}{a}[/tex]
Step-by-step explanation:
We can use the phrase SOH-CAH-TOA to help us with this problem. SOH-CAH-TOA stands for Sine = Opposite / Hypotenuse, Cosine = Adjacent / Hypotenuse, and Tangent = Opposite / Adjacent. This phrase helps to remember which sides of a right triangle get divided by which.
First, we'll evaluate [tex]cosB[/tex]. Referencing CAH (Cosine = Adjacent / Hypotenuse), we know that [tex]cosB[/tex] is equal to the length of the adjacent leg to ∠B, which is c, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]cosB =\frac{c}{a}[/tex].
As for [tex]tanC[/tex], we can refer to TOA (Tangent = Opposite / Adjacent), which means that [tex]tanC[/tex] is equal to the length of the opposite leg to ∠C, which is c, divided by the length of the adjacent leg to ∠C, which is b. Therefore, [tex]tanC=\frac{c}{b}[/tex].
As for [tex]sinB[/tex], we can refer to SOH (Sine = Opposite / Hypotenuse), which means that [tex]sinB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the length of the hypotenuse of the right triangle, which is a. Therefore, [tex]sinB=\frac{b}{a}[/tex].
Finally, we'll evaluate [tex]tanB[/tex]. As TOA tells us, [tex]tanB[/tex] is equal to the length of the opposite leg to ∠B, which is b, divided by the adjacent leg to ∠B, which is c. Therefore, [tex]tanB=\frac{b}{c}[/tex].
Hope this helps!
If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.
Answer:
The value of b is -3 and m is 0.
Step-by-step explanation:
You have to substitute the coordinates into both equation in order to find m and b value :
Find m,
[tex]y = mx + 3[/tex]
At (2,3),
[tex]3 = m(2) + 3[/tex]
[tex]3 - 3 = 2m[/tex]
[tex]2m = 0[/tex]
[tex]m = 0[/tex]
Find b,
[tex]y = 3x + b[/tex]
At (2,3),
[tex]3 = 3(2) + b[/tex]
[tex]b + 6 = 3[/tex]
[tex]b = 3 - 6[/tex]
[tex]b = - 3[/tex]
Answer:
b = -3
m = 0
Step-by-step explanation:
y=mx+b
3 is the constant
Jack's credit card has a 20% APR. Find the periodic interest rate from June 3
to July 2. Round your answer to two decimal places,
O A. 2.35%
O B. 1.67%
O c. 2.12%
O D. 1.64%
Answer:
B. 1.67%
Step-by-step explanation:
The periodic rate is the annual interest rate divided by the number of periods.
The period from June 3 to July 2 is a Month.There are 12 Months in a YearTherefore, we divide the annual interest rate by 12.
[tex]20\% \div 12 =1.67\% $(correct to two decimal places)[/tex]
Therefore, the periodic interest rate for Jack's credit card from June 3
to July 2 is 1.67%.
PLZ HELP ASAP!! WHAT IS 7- x-3 DIVIDED BY 4 + 2 ( WILL MARK BRAINLIEST)
Decimal expansion of 5/8
Answer:
0.625
Step-by-step explanation:
5/8 is the same as dividing so divide them both and it will equal 0.625
Answer:
0.625
Step-by-step explanation:
1/8 = 0.125
0.125 times 55 = 0.625
Calculate the circumference of the circle in terms of π. the diameter is 6 C=πd
Answer:
18.85
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
C = [tex]\pi d[/tex]
C = [tex]\pi 6[/tex]
C = 3.14 * 6
C = 18.84
I need help answering these. What does the arrows going both ways mean?
Answer:
I'm pretty sure it means it is any number
Answer:
It means there is no beginng point or end point.
PLEASE HELP, BEST ANSWER GETS BRAINLIEST:
Copy and complete.
Answer:
19%
Step-by-step explanation:
1. Decrease by 10% = 0.9 times
2. Repeat decrease by 10% = 0.9*0.9= 0.81 times
0.81 times decrease equals to 100%-81%= 19% decrease
Which situations can be represented by the equation 3+15=288? Select all that apply.
Nate buys a phone that costs $288. He is able to put $15 down and then pay the remaining balance in 3 equal payments. What is x, the amount of one payment?
Nate upgrades his phone. He makes 3 equal payments of $288 each and pays an additional $15 in taxes. What is x, the total cost of the phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $15, what is x, the cost of one phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $5, what is x, the cost of one phone?
Nate bought his 3 children identical phones totaling $288. Nate used a coupon for “$15 off total purchase.” What is x, the discounted price of one phone?
Answer:
the first and last option.
Step-by-step explanation:
the equation will be equal to 288.
x is the amount of one payment that he makes 3 times, hence the 3x.
15 is his initial payment so that is added to the 3x to equal 288.
the second equation still equals to 288.
the 15 is still there because added to the phone price it is equal to 288.
the x represents the price of the phones and 3 is how many he's getting, hence the 3x.
Answer:
the equation will be equal to 288.
x is the amount of one payment that he makes 3 times, hence the 3x.
15 is his initial payment so that is added to the 3x to equal 288.
the second equation still equals to 288.
the 15 is still there because added to the phone price it is equal to 288.
the x represents the price of the phones and 3 is how many he's getting, hence the 3x.
Step-by-step explanation:
Mark me brainiest please
Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? Will Mark Brainliest.
Step-by-step explanation:
There is no option to choose from, but the knowledge of what irrational numbers are, would help cover this cost.
A rational number is a number that can be written as a simple fraction, a/b. Examples are 1/2, 5/6,...
If a number cannot be written as a simple fraction, then it is called irrational.
Example of irrational numbers: √2, π
Answer:
Here are the statements!!!
High school football team had the best game of the season they scored eight touchdowns (seven points each) and three field goals (3 points each). How many points did they score in all
Answer:
65 points in all
Step-by-step explanation:
3 x 3 = 9
7 x 8 = 56
56 + 9 = 65
:))
Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
did not sprout? Show how you arrived at your answer.Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
did not sprout? Show how you arrived at your answer.
Answer:
30%
Step-by-step explanation:
18 / 60 = .3 * 100 = 30%
Answer:
The percent of the the corn seeds is 30%.
Step-by-step explanation:
Because when you calculate 60% and 18% will get a percent 30%.
Solution for 18 is what percent of 60:
18:60*100 =
( 18*100):60 =
1800:60 = 30
Now we have: 18 is what percent of 60 = 30
Question: 18 is what percent of 60?
Percentage solution with steps:
Step 1: We make the assumption that 60 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=60$.
Step 4: In the same vein, $x\%=18$.
Step 5: This gives us a pair of simple equations:
$100\%=60(1)$.
$x\%=18(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{60}{18}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{18}{60}$
$\Rightarrow x=30\%$
Therefore, $18$ is $30\%$ of $60$.
Hope this helps :D and can i get brainlest plz
if the blue radius below is 4.5 unit lrpendicto the green chord and the segment ab is 4.5 units long, what is the length of the length of the chord?
Answer:
b) 9 units
Step-by-step explanation:
segment ab is the same length as segment bc
The solution of the equation 5 - 2x = -4x – 7 is
1.
1
2.
2
3.
-2
A
-6
Answer:
x = -6.
Step-by-step explanation:
5 -2x = -4x - 7
Add '4x' to both sides:
5 - 2x + 4x + -4x + 4x -7
5 + 2x = -7
Subtract '5' from both sides:
5 - 5 + 2x = -7 - 5
2x = -12
Divide both sides by '2':
x = -6.
Find the volume of the rectangular prism.
length = 5 1/4 inches
width = 4 1/2 inches
height = 3 inches
Answer:
70.825 square inches
Step-by-step explanation:
Answer:
[tex]= 70 \frac{7}{8} {in}^{3} \\ [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 4\frac{1}{2} \times 3 \times 5 \frac{1}{4} \\ = \frac{9}{2} \times 3 \times \frac{21}{4} \\ = \frac{567}{8} \\ = 70 \frac{7}{8} {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If A = (9, 18) and B = (1, 12), what is the length of AB?
O A. 10 units
B. 12 units
C. 9 units
O D. 11 units
The length of AB is 10 units.
look at the attached picture
Hope it will help you
Good luck on your assignment
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
26
Step-by-step explanation:
lol
Answer:
AC = 26
Step-by-step explanation:
AB + BC = AC
18+ 8 = AC
26
St lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get?
Answer:
2/3
Step-by-step explanation:
6 friends share 4 pizzas, each get 4/6 = 2/3 pizza
please answer fast!!
which graph best represents the solution to 1/2 x -2 = 3?
Answer:
i believe the answer is D (which is 10)
Step-by-step explanation:
i just took the test. so you have to isolate X, so you add 2 to both sides and on the right you get answer of "5". so then you have to multiply both sides by "2/1" (which is the reciprocal of 1/2) and so on the left side so you're left with just "x", and on the right side you have 2/1 times 5/1 which equals "10".
Which choices are equivalent to the expression below? Check all that apply.
3 square root of 6
A. 54
B. 27. VA
c. 27. 2
D.64
E. 18
F 19.6
[tex]3\sqrt{6} = \sqrt{9}*\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex]
The rule I'm using is
[tex]\sqrt{x}*\sqrt{y} = \sqrt{x*y}[/tex]
note how I rewrote "3" into the square root of 9, so that everything would have a square root over it, and that allows me to use that rule above.
[tex]\sqrt{54}[/tex] equivalent to the expression [tex]3\sqrt{6}[/tex].
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given expression
[tex]3\sqrt{6}[/tex]
We have the property [tex]\sqrt{x}[/tex] × [tex]\sqrt{y}[/tex] = [tex]\sqrt{x.(y)}[/tex]
[tex]3\sqrt{6}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]
= [tex]\sqrt{9.(6)}[/tex]
= [tex]\sqrt{54}[/tex]
[tex]\sqrt{54}[/tex] equivalent to the expression [tex]3\sqrt{6}[/tex].
Find out more information about expression here
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The graphs below have the same shape. What is the equation of the blue graph? G(x) =
A. G(x)= (x+4)^2
B.G(x)=x^2+4
C.G(x)= (x-4)^2
D.G(x)= x^2-4
Answer:
CStep-by-step explanation:
G(x) is transformed from the parent function f(x)=x^2 by:
right 4 units
since we all know that the vertex form of a quadratic equation is y=a(x-h)^2+k
since 4 is h, and k is 0 ( graph is on the x-axis), we can write the equation of this graph:
g(x)=(x-4)^2, which is C
Which choice is equivalent to the product below?
√8 × √3
The right answer is 2√6
look at the attached picture
Hope it will help you
Good luck on your assignment
The radius of a circle with an area of 9/4pi is increased by a scale factor of x. The resulting circle has an area of 81pi . What is the value of x?
Answer:
x = 36.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Miguel's lemon cookie recipe calls for 5 cups of sugar. How much sugar would Miguel use to make 3 3/4 batches of cookies?
PLEASE HELP!!!!
Answer:
18.75 or 18 3/4
Step-by-step explanation:
assuming 5 cups is for 1 batch we can just multiply 5 and 3 3/4 to get our answer.
There are xboys playing in the park. The number of girls playing in the park is equal to the square root of the number of boys. If the total
number of boys and girls playing in the park is 42, find the number of boys.
A. 49
B.6
C. 36
D. 7
Answer:
x = 36 and √x = 6; total 42 children
Step-by-step explanation:
Number of boys: x
Number of girls: √x
Total number of kids: x + √x = 42.
Find x.
Rewrite x + √x = 42 as √x = 42 - x. Then square both sides:
x = 1764 - 84x + x^2, or
x^2 - 85x + 1764 = 0
Check out Answer C: x = 36. Is the above equation true for x = 36? YES
Check out Answer A: x = 49. Is the above equation true for x = 49? YES
Assume that x = 36. This would be the number of boys. The number of girls would be √36, or 6. Does the sum of 36 and 6 equal 42? YES. So the number of boys is 36 and the number of girls is 6.
Assume that x = 49. This would be the number of boys. The number of girls would be √49, or 8. Does the sum of 49 and 7 equal 42? NO. So we reject x = 49 as the number of boys and accept x = 36 as being correct.
Please Help ASAP, ehehdhhdheh
Answer:
I believe x is the angle shown. I hope this helps
What is the value for x?
Enter your answer in the box.
Answer:
8
Step-by-step explanation:
because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42
then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!
(sorry if the explanation doesnt make sense )
Consider function fbelow.
f(t) = 4* - 6
Determine function g which is created by shifting the graph of function fup 5 units.
O A.g(x) = 98 - 6
OB.g(x) = 4(x+5)-6
O C.g(x) = 44.1
OD.g(x) = 4x + 5
Answer:
Step-by-step explanation:
For this case we have a function of the form:
f (x) = 4 ^ x-6
We want to move the graph five units up.
Therefore, the new function is given by:
g (x) = f (x) +5
Substituting we have:
g (x) = 4 ^ x-6 + 5
Rewriting the function:
g (x) = 4 ^ x-1
Answer:
The new function is given by:
g (x) = 4 ^ x-1
option C
Click to let other
The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To shift the graph of function f up 5 units, we need to add 5 to the output (y-value) of the function.
Therefore, the function g(x) will be:
g(x) = f(x) + 5
Substituting the expression for f(x), we get:
[tex]g(x) = 4^x - 6 + 5\\g(x) = 4^x - 1[/tex]
Therefore,
The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]
Learn more about functions here:
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Sarah graphed the solution to the inequality StartAbsoluteValue f + 3 EndAbsoluteValue less-than 9 on the number line.
A number line going from negative 14 to positive 10. Open circles are at negative 12 and positive 6. Everything between the points is shaded.
Which inequality statement can be used to help determine if the graph is correct?
When f = 0, StartAbsoluteValue 0 + 3 EndAbsoluteValue less-than 9, which is true because 3 is less than 9.
When f = negative 12, StartAbsoluteValue negative 12 + 3 EndAbsoluteValue less-than 9, which is true because 9 is equal to 9.
When f = 10, StartAbsoluteValue 10 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than 13.
When f = negative 14, StartAbsoluteValue negative 14 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than –11.
Answer:
Correct option: first one.
Step-by-step explanation:
Let's analyse each option:
1)
When f = 0, |0 + 3| < 9, which is true because 3 is less than 9.
This statement is true, and the value f = 0 in inside the solution graphed by Sarah.
2)
When f = -12, |-12 + 3| < 9, which is true because 9 is equal to 9.
This statement is false, because the inequality uses a "less-than" symbol and not a "equal" symbol, so 9 < 9 is false
3)
When f = 10, |10 + 3| < 9, which is true because 9 is greater than 13.
This statement is false, because 9 is not greater than 13.
4)
When f = -14, |-14 + 3| < 9, which is true because 9 is greater than –11.
This statement is false, because the value of |-14 + 3| is 11 and not -11.
So the correct option is the first one.
Answer:
Answer is A,
Step-by-step explanation:
edge2020
An endangered whale species has a population of 6000. Biologists estimate that the stock is decreasing at 3% per year. At this rate, approximately how many years will it be before only 60% of the species remains?
A 9.0 years
B 9.6 years
© 10.0 years
D 16.8 years
9514 1404 393
Answer:
D. 16.8 years
Step-by-step explanation:
The multiplier each year is 1-3% = 0.97, so the multiplier after x years is 0.97^x. You want to know the value of x when that multiplier is 60%, or 0.60.
0.97^x = 0.60
x·log(0.97) = log(0.60) . . . . . . take logarithms
x = log(0.60)/log(0.97) ≈ 16.8
At the given rate, it will be 16.8 years before 60% of the species remains.