Answer:
$4.5
Step-by-step explanation:
Let the amount of money
Maria had = x
Nick had = y
All together Maria and Nick had $12.
= x + y = 12
x = 12 - y
After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.
30% of x = 50% of y
30/100 × x = 50/100 × y
0.3x = 0.5y
We substitute 12 - y for x above
0.3(12 - y) = 0.5y
3.6 - 0.3y = 0.5y
3.6 = 0.5y + 0.3y
3.6 = 0.8y
y = 3.6/0.8
y = $4.5
Therefore, in the beginning, Nick originally had $4.5
Find the value of x. Write your answer in simplest form.
Answer:
It would be 4.
Step-by-step explanation:
Alright, this is a 30-60-90 special triangle. With special triangles, there is a formula that you can use to find unknown side lengths of a triangle if you know the angles of it.
With a 30-60-90 triangle, the sides opposite of these angles are:
30 degrees : x
60 degrees: x√3
90 degrees: 2x
With this, we can see that opposite of the 60 degrees is the length 2√3. From this, it can be found that the opposite of the 30 degrees would be 2, given the formula of the special triangle. Lastly, the unknown value would be 4, since it is two times this amount.
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] x = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 4
pllllzzzzzzzzzzzzzzzz help me with this!!!!!!!!!!!!
Step-by-step explanation:
djifvodp09govovkvcicodsodoss
If the circumference of a circle is 31.4 feet , What is the radius of the circle use 3.14 for π
Answer:
144
Step-by-step explanation:
The value of y varies directly with x. When y = 79, x = } .
What is the value of y when u is 3 1/4?
Can anyone help ?
The answer is 493 if you don't add the decimal.
If you do it's 493.5.
You're Welcome :)
Jack wants to find out which can of pineapples is the best buy. He has a choice of four
different-sized cans. Which can has the lowest unit price per ounce?
A. 8 ounces for $1.44
B. 18 ounces for $2.88
C. 10 ounces for $1.62
D. 6 ounces for $1.14
HURRY PLEASE
On a number line , 1.38 would be located... choose all answers that make the statement true
A) to the right of 1.29
B) to the left of 1.36
C) between 0 and 1
D) between 1 and 2
Answer: A and D are the correct answers.
Step-by-step explanation:
The two line plots below show the number of hours per week students in Mr. Pinkos' class spend doing homework and watching television
Answer:
Step-by-step explanation:
I need help
Hi, I need help pretty please! (This time with 5 screenshots)
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
What is the volume of a cylinder with a height of 12.8 m and a base with a radius of 5.7 m, to the nearest tenth of a cubic meter?
Answer: 1306.5 m^3
Step-by-step explanation:
1. The formula for the volume of a cylinder is: V=[tex]\pi[/tex]r^2h
2. If you substitute the values into the equation, you get
V = pi * 5.7^2 * 12.8 = 1306.5
3. 1306.5 is already to the nearest tenth, so that is the answer.
need some funny hair jokes for math teacher plss
Answer:
Grey Hairs? Try some of our free Pi-Lights
Step-by-step explanation:
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
Answer:
B. y > 14
y which is students age is greater than 14
Which of the following fraction is the largest ?
5/6
7/12
4/7
2/3
Answer:
5/6
Step-by-step explanation:
So to do this, lets convert all of these fractions into decimals by dividing:
5/6 --> 0.833...
7/12 --> 0.583...
4/7 --> 0.571...
2/3 --> 0.66...
From this, it can be see that it is 5/6, since it is a larger decimal compared to the other choices.
To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____
Choices for blank 1.
A. 2
B. 3
C. 4
D. 5
Choices for blank 2.
A. Left
B. Right
NO LINKS!!
from blank one five
from blank two is right
I need help with this question hurry
Answer:
a b c and f
Step-by-step explanation:
rectangle parallelogram square and rhombus
How do you do this ??????????????????????
Answer:
b
Step-by-step explanation:
you can take the rectagel and you x the rectagel
Alan bought 16 cupcakes for
his class. Each cupcake costs
$1.49. How much did he
spend on cupcakes?
Help
Pls help rationalize
Answer:
1= 0.109
2= 3.46
3 = -(minus)1.24
Step-by-step explanation:
Answer:
See answers below.
Step-by-step explanation:
All of these use the same idea: multiply numerator and denominator by the conjugate radical (an identical expression but with the sign between terms changed).
[tex]\frac{1}{13-\sqrt{15}}\cdot\frac{13+\sqrt{15}}{13+\sqrt{15}}=\frac{13+\sqrt{15}}{169-15}}\\\\=\frac{13+\sqrt{15}}{154}[/tex]
[tex]\frac{1}{\sqrt{13}-\sqrt{11}} \cdot \frac{\sqrt{13}+\sqrt{11}}{\sqrt{13}+\sqrt{11}}=\frac{\sqrt{13}+\sqrt{11}}{13-11}\\\\=\frac{\sqrt{13}+\sqrt{11}}{2}[/tex]
[tex]\frac{1}{\sqrt{21}+\sqrt{29}}\cdot\frac{\sqrt{21}+\sqrt{29}}{\sqrt{21}+\sqrt{29}}=\frac{\sqrt{21}+\sqrt{29}}{21-29}\\\\=\frac{\sqrt{21}+\sqrt{29}}{-8}[/tex]
Note: Here's an example of what happens when you multiply conjugate radicals.
[tex](\sqrt{13}-\sqrt{11}})(\sqrt{13}+\sqrt{11})=13-\sqrt{11}\sqrt{13}+\sqrt{13}\sqrt{11}-11=13-11[/tex]
When you FOIL those binomials, the square roots go away!
write the measure of each of the missing angle measures in the diagram above.
Answer:
<2= 65°
<3= 65°
<4= 115°
<5= 115°
<6= 65°
<7=65°
<8=115°
What does x and y equal
calculate the area of the shaded region. someone please help!
Answer:
[tex]130cm^{2}[/tex]
Step-by-step explanation:
1) Calculate the entire rectangle and subtract the right triangle area
15 x 10 = 150 Entire rectangle area
(5 x 8) ÷ 2 = 20 Triangle area
150 - 20 = 130 Area of shaded region
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
Learn more about linear equations at https://brainly.com/question/11897796
#SPJ2
Can you plz help me!dddddddd
Answer:
We are finding hypotenuse:
6^2 + 8^2
36 + 64 = 100
Now we need to find a number that should be squared to equal 100.
10^2 = 100!
10 is your answer.
Find the length of the midsegment of the trapezoid.
Answer: 28 i think or 12
Step-by-step explanation:
Isabel's team played 8 games of basketball. During those 8 games her team's score was: 59, 65, 61, 64, 68, 57, 49 and 57. What is the median(middle)?
Answer:
60 :)
Step-by-step explanation:
The middle two numbers are 59 and 61 so you add them together and divide by 2.
Help me plss I will give u anything but pls help me
Answer:
The percentage is 1/2 * 2/5 = 1/5 = 20%.
Answer:
The correct answer is 20%
Step-by-step explanation:
If you were to pick two marbles from the pile, there would be 30 different possible combinations. Out of the 30 possible combinations, 6 of them meet the requirement of green marble on the first pick and red marble on the second pick. The fraction that represents the situation would be [tex]\frac{6}{30}[/tex] or [tex]\frac{1}{5}[/tex], which would be equal to 20%, so that is the correct answer.
Solve each log equation for real solutionslogx 81 =2
Answer:
x=9
Step-by-step explanation:
You would change it to x^2 = 81 which is 9.
{6.EE.B.7} Solve for x. 342 + x = 782*
Answer:
Hello There!!
Step-by-step explanation:
342 + x = 782 -342
x=440
hope this helps,have a great day!!
~Pinky~
A cone has twice the base diameter and three-fourths the height of a cylinder. Can you tell what the relationship between the volume of the cone and the volume of the cylinder is? Explain your reasoning.
Answer:
Equal volumes
Step-by-step explanation:
Given
[tex]h \to[/tex] height of cone
[tex]d \to[/tex] diameter of cone
[tex]H \to[/tex] height of cylinder
[tex]D \to[/tex] diameter of cylinder
Such that:
[tex]d = 2D[/tex]
[tex]h =\frac{3}{4}H[/tex]
Required
The relationship between the volumes
The volume of a cylinder is:
[tex]V_1 = \pi R^2H[/tex]
Where
[tex]R = 0.5D[/tex]
So:
[tex]V_1 = \pi (0.5D)^2H[/tex]
[tex]V_1 = \pi *0.25*D^2H[/tex]
[tex]V_1 = 0.25\pi D^2H[/tex]
The volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Where
[tex]r =0.5d[/tex]
[tex]r = 0.5 * 2D[/tex]
[tex]r = D[/tex]
and
[tex]h =\frac{3}{4}H[/tex]
So, we have:
[tex]V_2 = \frac{1}{3}\pi * D^2 * \frac{3}{4}H[/tex]
[tex]V_2 = \frac{1}{4}\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi D^2H[/tex]
So, we have:
[tex]V_1 = 0.25\pi D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_1 = V_2[/tex]
Answer: : When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
Perform the following calculations. To calculate the number of pounds of meat required to feed diners do the following: for poultry or meat with bones, divide the number to be served by 2.5; for meat with little or no bone, divide the number to be served by 3.5; and for fish fillets divide the number to be served by 3.5. Guests = 100 Meat served = boneless chicken How many pounds of chicken are required?
Answer:
28.58 pounds, about 29 pounds
Step-by-step explanation:
Poultry meat with bones ; divide number to be served by 2.5
Meat with little or no bone ; divide number to be served by 3.5
If number of guests to be served = 100
Meat served = 100
The number of pounds of chicken required :
Number of guests to be served / meat served
Hence,
100 / 3.5
= 28.58 ; which is about 29 pounds
Answer:
43
Step-by-step explanation: