A craft show has an admission fee of $1.50 for children and $4.00 for adults. On Saturday 155 people came to the carnival and $520 was collected. How many children came to the craft show?
Much Appreciated <3
The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag
Answer: 15
Step-by-step explanation: 5/9=15/27. 27-15=12
The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.
What is Ratio?A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
For given information,
The ratio of yellow to blue skittles in the bag is 5:9
The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y
Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14
Fraction of the total skittles that are blue = 9/(5+9)= 9/14
The total number of skittles = Yellow + Blue
in this Y as yellow; Y+12 as blue.
Y + Y + 12 = 2·Y + 12
The fraction of the total skittles that are blue = 9/14
we have 9/14 × (2·Y + 12) = Y + 12
-> 9 × (2·Y + 12) = 14 × (Y + 12)
-> 18·Y + 108 = 14·Y + 168
-> 18·Y - 14·Y = 168 - 108 = 60
-> 4·Y = 60
-> Y = 60/4 = 15
∴ The number of yellow skittles in the bag = 15
The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.
Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.
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2x + 9 > 21
solve the inequality
Answer:
x>6
Step-by-step explanation:
2x + 9 > 21
2x > 21-9
2x>12 dividing by 2
x>12/2
x>6
hope this helps
Answer:
x > 6
X has to be smaller than 6
Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..
Answer:
Each student get 3/4 cups.
Step-by-step explanation:
15÷20=0.75
turn into fraction
3/4
I answer this question before
Z1 and Z2 are vertical angles, mZ1 =(9x + 22)° and mZ2 =(14x - 18)". What is the value of x
Answer:
Therefore m angle 2 is 86°.
Step-by-step explanation:
Given:
m∠ 1 = 17x + 1
m∠ 2 = 20x - 14
To Find:
m∠ 2 =?
Solution:Vertical Angles:
The angles opposite each other when two lines cross. They are always equal.
∴ m∠ 1 = m∠ 2
Substituting the given values we get
Now for m∠ 2
Therefore m angle 2 is 86°.
hElP mE plS anD ty I hAd tO rEpoSt thiS :')
Answer:
1: below its initial height.
2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?
3: I would want Mrbeast to be the President because he would help everyone.
What is the volume of the triangular prism
Hight 10in
Base 14 in
Length 6
Answer:
\(V=336\ in^3\)
Step-by-step explanation:
Triangular Prism
Given a triangular prism of base area A and height H, its volume is obtained with the formula:
V = AH
The area of the base is calculated as follows:
\(A = \frac{WL}{2}\)
Where W is the width and L is the length. Both dimensions must be perpendicular.
The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:
\(L=\sqrt{10^2-6^2}\)
\(L=\sqrt{100-36}=\sqrt{64}\)
L = 8 in
The area is:
\(A = \frac{6*8}{2}\)
\(A = 24\ in^2\)
Finally, the volume is:
\(V = 24\ in^2*14\ in\)
\(\boxed{V=336\ in^3}\)
Please help me with math
Answer:
SA: 456
V: 408
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!
Plastic milk contsiners arr produced by a machine that runs continuously. If 5 percent of the containers produced are nonconforming, determine the probability that out of four containers chosen at random, less than two are nonconforming.
The probability that out of four containers chosen at random, less than two are nonconforming is 0.986.
Given that the plastic milk containers are produced by a machine that runs continuously.
If 5 percent of the containers produced are nonconforming, we need to determine the probability that out of four containers chosen at random, less than two are non-conforming.
Probability of nonconforming = 5% = 0.05
Probability of a conforming container = 1 - Probability of nonconforming = 1 - 0.05 = 0.95
Let X be the number of nonconforming containers out of four containers chosen at random. Since there are only two outcomes (conforming and nonconforming), we can model the situation with a binomial distribution.
The probability mass function of a binomial distribution is given by:
P(X = x) = nCx * p^x * (1-p)^(n-x)
Where nCx = n! / (x! * (n-x)!) is the binomial coefficient.
Therefore, we can write the probability of less than two nonconforming containers as:
P(X < 2) = P(X = 0) + P(X = 1)
P(X = 0) = 4C0 * (0.05)^0 * (0.95)^4 = 0.8145
P(X = 1) = 4C1 * (0.05)^1 * (0.95)^3 = 0.1715
P(X < 2) = 0.8145 + 0.1715 = 0.986
Therefore, the probability that out of four containers chosen at random, less than two are nonconforming is 0.986.
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2b (squared) + 3b (squared) - 3b
Answer:
A
Step-by-step explanation:
Given
\sqrt[]{50a^6b^7}
50a
6
b
7
Therefore, solving:
\sqrt[]{50}\sqrt[]{a^6}\sqrt[]{b^7}
50
a
6
b
7
Simplify
\begin{gathered}\begin{gathered} \sqrt[]{50}=5\sqrt[]{2} \\ \sqrt[]{a^6}=a^3 \\ \sqrt[]{b^7}=b^3\sqrt[]{b} \end{gathered}\end{gathered}
50
=5
2
a
6
=a
3
b
7
=b
3
b
Next,
5\sqrt[]{2}\cdot a^3\cdot b^3\sqrt[]{b}5
2
⋅a
3
⋅b
3
b
Reordering the expression
5a^3b^3\sqrt[]{2b}5a
3
b
3
2b
Answer:
-b
Step-by-step explanation:
simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
\(2p^2\)
Step-by-step explanation:
Step 1: Apply the exponentiation property:
\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)
Step 2: Simplify the cube root of 8:
The cube root of 8 is 2:
\(8^\frac{1}{3} =2\)
Step 3: Simplify the cube root of \((p^6)\):
The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)
Step 4: Combine the simplified terms:
\(2 * p^2\)
So, the simplified expression is \(2p^2\).
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = \(\frac{1}{2} *4\)
= 2 papas secas
Cerdo = \(\frac{1}{2} *4\)
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = \(1\frac{1}{2} *4\)
= \(\frac{3}{2} *4\)
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
determine what type of solutions the function f(x)=x^2+9 will have
Type of solutions the function f(x)=\(x^2\)+9 will have Domain is (-\(\infty\\\),\(\infty\)),{x|x∈R}. Range is [-9,\(\infty\)),{y|y≥-9}.
Given function \(f(x)=x^{2} +9\)
To determine the function's domain and range.
Domain and range is nothing but the sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation. For instance, if the relation is R ={(1, 2), ( 2, 2), ( 3,3 ), ( 4, 3)}
Domain is the set of all x-coordinates with values of {1, 2, 3, 4}.
The set of all y-coordinates in the range is equal to {2, 3}.
Domain and range for the function is
Domain is (-\(\infty\\\),\(\infty\)),{x|x∈R}.
range is [-9,\(\infty\)),{y|y≥-9}
Therefore, the function has the domain and range as
Domain is (-\(\infty\\\),\(\infty\)),{x|x∈R}.
range is [-9,\(\infty\)),{y|y≥-9}.
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An increase in the real interest rate will
A. most likely lower consumer's purchases of durable goods.
B. most likely lower the cost of borrowing.
C. cause consumers to spend more and save less.
D. most likely lower the reward to savings.
An increase in the real interest rate will most likely lower the reward to savings. The correct answer is D.
When the real interest rate increases, it means that the return on savings and investments is higher in real terms, adjusted for inflation. As a result, individuals are incentivized to save more as they can earn a higher return on their savings.
When the reward to savings is lower, it becomes less attractive for individuals to save. Higher interest rates can discourage borrowing and encourage saving, which reduces consumer spending on durable goods and other discretionary purchases.
Option A is incorrect because an increase in the real interest rate would likely lead to a decrease in consumer's purchases of durable goods, as higher interest rates increase the cost of borrowing, making it more expensive to finance large purchases.
Option B is incorrect because an increase in the real interest rate generally makes borrowing more expensive, as it increases the cost of borrowing for individuals and businesses.
Option C is incorrect because an increase in the real interest rate usually encourages individuals to save more and spend less, as the potential return on savings is higher.
The correct answer is D.
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Find the value of x !!!!
Answer:
x=147
Step-by-step explanation:
Because of the rule of the exterior angle, x=the sum of the two angles that are given. x=50+97
Hope I helped! Please mark Brainliest!!!
reverse percentage problem
answer: you're missing the problem
Graph y=|x-2|
ASAP I really need this please
Step-by-step explanation:
move the parent function to the right 2 times.
Answer:
see image
Step-by-step explanation:
An absolute value graph is a V-shaped graph(in yellow, see image) You can use "transformations of parent functions" to graph it (high school/college) OR use a table of values (middleschool/hs). The - 2 that's in the parenthesis with the x causes the graph to slide to the RIGHT 2 units. (shown in green) The green graph is what you are asking for.
If you aren't learning about translations (which means shift or slide and is a type of transformation) then you can just make a table of values. Pick several x's and put them in the equation and find out what y's go with them. Plot the points on the graph and connect. See image.
xét tính chẵn lẻ của hàm số : y = tanx + cotx
Answer:
Step-by-step explanation:
i am failing. help.
186:403 in simpleast form
Answer:
6:13
Step-by-step explanation:
both are divisible by 31
Jerome went on a hike. He climbed three-fourths of a mile in one-half of an hour. What was his hiking speed in miles per hour?
Answer:
1 1/8
Step-by-step explanation:
3/4= 0.75
2/3 = 0.666666667 so on...
divide and you get 1.125 which is also written as 1 1/8
A meteorologist analyzes data about a rainstorm in an area starting at 10 p.m. and uses the linear model u = 0.75t + 1.5 of rain accumulation, , in inches, hours after midnight when t > 0 Which best describes the value 1.5 to represent the total amount
A slope and the change in the total amount of rain, in Inches per hour
B slope and the initial amount of rain, in inchesat midnight
C y-intercept and the change in the total amount of rainin inches per hour
D y-Intercept and the initial amount of rain, in inches at midnight
The option that best describes the value 1.5 in the linear equation; u = 0.75·t + 1.5 is option D
D. y-intercept and the initial amount of rain, in inches at midnight
What is a linear equation?A linear equation is an equation of the form; y = m·x + c, where, m is the slope, and c is the y-intercept of the graph of the equation.
The time at which the analysis of the rainstorm by the meteorologist starts = 10 p. m.
The linear model for the accumulation of rain is; u = 0.75·t + 1.5
The number of hours, t after midnight where; t > 0
The model for the accumulation of rain, indicates that the coefficient of t, which is 0.75 is the rate at which the rain accumulates in inches per hour, therefore, the rain accumulates at a rate of 0.75 inches per hour
The constant term in the linear equation, u = 0.75·t + 1.5, which is the constant, 1.5, is the y-intercept of the graph of the equation.
The y-intercept is the value of the equation, when the input value, the time, t = 0, which is the time at midnight
The 1.5 therefore, indicates that the y-intercept, and the level of the accumulated rain at midnight, when the time, t = 0, which is the initial amount of rain at midnight is 1.5 inches.
The correct option is therefore;
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In ΔXYZ, ∠X=59° and ∠Y=21°. ∠XWZ=90° and XY=6.1. Find the length of XW to the nearest 10th.
Answer:
this is question is wrong it you typed it wrong
how come the triangle named XYZ and the angle wxz and if there 2 triangles one must be a failure because there is no triangle which all his angels equals more than 180°
look again and if possible take a picture of the question
Question
Keith has $450 in a savings account at the beginning of the summer. He wants to have at least $120 in the account by the end of the summer. He withdraws $55 each week for food, clothes and move tickets. How many weeks can Keith withdraw money from his account?
Polynomial uing Remainder Theorem and Factor Theorem checking uing ynthetic diviion. X^4 - x^3 - 3x^2 4x 2 ÷ (x 2)
The remainder of the polynomial using the remainder theorem and factor theorem is 6.
Apply the remainder theorem,
When we divide a polynomial
f(x) by (x − c)
f(x) = (x − c)q(x) + r
f(c) = 0 + r
Here,
f(x)=(x−c)q(x)+rf(c)=0+r
and (x−c) is (x−(−2))
Therefore,
f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)
= 16 + 8 − 12 − 8 + 2
= 6
Hence, the remainder of the polynomial using the remainder theorem is 6.
Whereas using the factor theorem and doing synthetic division, we get,
x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide
the coefficients of the polynomial as follows -
-2 | 1 -1 -3 4 2
-2 6 -6 4
-----------------------------------------
1 -3 3 -2 6
Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.
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The complete question is -
Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)
Simplify the following expression.
A.
76
B.
68
C.
-20
D.
20
Answer:
c
Step-by-step explanation:
A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
Simplify the expression 2√6 -5√54
Answer:
- 13\(\sqrt{6}\)
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Simplifying \(\sqrt{54}\)
\(\sqrt{54}\)
= \(\sqrt{9(6)}\)
= \(\sqrt{9}\) × \(\sqrt{6}\)
= 3\(\sqrt{6}\)
Then
2\(\sqrt{6}\) - 5\(\sqrt{54}\)
= 2\(\sqrt{6}\) - 5 (3\(\sqrt{6}\) )
= 2\(\sqrt{6}\) - 15\(\sqrt{6}\)
= - 13\(\sqrt{6}\)
1) Select ALL the numbers that lie between .006 and .14 *
A
.006
.14
.001
.110
.05
.042
.0014
.18
PLEASE HELP ME THIS IS A UNIT TEST PLEASE PLEASE
Step-by-step explanation:
The question basically requires us to check if the number is between the two range of numbers;
Lower limit = .006
Upper limit = .14
.006: This is the lower limit, hence it lies between.
.14: This is the upper limit, hence it lies between.
.001 : This number is below the lower limit, hence it does not lie between the numbers.
.110: This number is below the upper limit but above the lower limit hence it lies between the numbers.
.05: This number is below the upper limit but above the lower limit hence it lies between the numbers.
.042: This number is below the upper limit but above the lower limit hence it lies between the numbers.
.0014: This number is below the lower limit, hence it does not lie between the numbers.
.18: This number is above the upper limit, hence it does not lie between the numbers.
4t = 44 I just need help on what to do
Answer:
t is 11
Step-by-step explanation:
you divide each side by 4 to get rid of the coefficient on t and since theres
no equation left on either side you're left with t=11
Answer:
t = 11
Step-by-step explanation:
ima help explain it to you
Step one since the prime/first number is 4 put 4 as a denominator under both 4 and 44. That is the first step to these equations
Now, you have 4/4 and 44/4 if you divide 4 and 44 you will get 11. If you divide 4 and 4 you will get 1. equally you have 11/1 aka 11.
A EZ STEP IS TO LITTERALLY DIVDE 44 AND 4 RIGHT WHEN U SEE IT LOL
hope this helps!!
-Bacon