Answer:
4.5 %
Step-by-step explanation:
Answer:
4.5%
Explanation:
1) red = 3
2) green = 4
3) blue = 5
Total bumper cars: (3 + 4 + 5) = 12 cars
Michelle gets red car:
3/12 = 1/4Remaining red cars: 3 - 1 = 2
Remaining total cars: 12 - 1 = 11
Garth get red car:
2/11Probability they both get red cars:
1/4 × 2/11 = 1/22 ≈ 4.5%A company decides to mix pinapple and orange soda to make a new drink.
They have 450 liters of pinapple soda, which is 42% sugar.
They mix it with 630 liters of orange soda.
The new drink is 35% sugar.
What percentage of the orange soda is sugar?
How many solutions does the following equation have? 3(2x−4) =2(3x−6)
Answer:
Infinitely many solutions
Step-by-step explanation:
Equations can either have no solutions, one solution, or infinitely many solutions.
Examples:
No solutions: 2 = 6One solution: x = 2Infinitely many solutions: 2 = 2Given: 3(2x − 4) = 2(3x − 6)
Distribute:
3(2x − 4) = 2(3x − 6)
3(2x) + 3(−4) = 2(3x) + 2(−6)
6x − 12 = 6x − 12
As both sides of the equation are identical, this equation has an infinite number of solutions.
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Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can
be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the
constraints on the values of x and y?
O y=5.5x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=5.5x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.
O y=x+5.5; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
O y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to
5.5.
This situation of the recipe can be represented as y=x+5.5 and it is expected that x is ≥ 0 and y is ≥ 5.5.
What is the equation for this situation?It is known the total amount of flour (y) is equivalent to the total amount of whole wheat flour (5.5) added to the total white flour (x). Therefore, the equation is:
y = x + 5.5
The possible values are
x = It is expected x is equalthan 0 or greater to it since the minimum amount of white flour that can be added is 0.
y = It is expected y is equal than 5.5 or greater to it since even if no
white flour is added the minimum total is 5.5.
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Answer: y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.
mary drove for four hours on an interstate highway at a constant rate of 60 miles per hour. during the next hour, she drove on a state road at a slower rate of 40 miles per hour. how many miles did mary travel on her trip?
Step-by-step explanation:
speed = distance/time
distance = speed × time.
so, for the first 4 hours
distance = 60 m/h × 4 h = 240 miles
and for the next hour
distance = 40 m/h × 1 h = 40 miles
she traveled therefore
240 + 40 = 280 miles
the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took
PLEASE HELP!!!!! I WILL MARK BRAINLIEST AND RATE 5 STARS!!
Answer:
37°
Step-by-step explanation:
sum of exterior angles of a polygon is 360°
so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360
8x+64=360, subtract 64 from both sides
8x=296
x=37°
How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
O It is translated 1 unit right and compressed vertically by a factor of 3.
OIt is translated 1 unit left and compressed vertically by a factor of 3.
O It is translated 1 unit right and stretched vertically by a factor of 3.
OIt is translated 1 unit left and stretched vertically by a factor of 3.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²
We need to find how the parent function transformed to produce the graph of y = 3(x+1)².
The parent graph is shifted 1 unit towards the left by the rule of transformation.
[tex]f(x) = f(x+1)[/tex]
By applying this rule then,
[tex]y(x) = f(x+1)^2[/tex]
Now, the parent function stretched vertically 3 times the previous graph by the rule
[tex]f(x) = 3f(x)[/tex]
Apply this rule then, we get
[tex]y(x) = 3(x+1)^2[/tex]
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a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
what is the approximate of this cone
Answer:
so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159
If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g
The value of cos x⁰ from the information given is; g/h.
What is the value of cos x⁰?According to the task content;
The value of cos x° from the information contained in the task content is required.
From conventional Trigonometry;
It follows that tan x = sin x/cos x.
On this note, it follows that;
cos x⁰ = sin x⁰/tan x⁰.
cos x⁰ = 6/h ÷ 6/g
cos x⁰ = g/h
Ultimately, the value of Cos x⁰ by evaluation is g/h.
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Answer:
cos x° = g divided by h
Step-by-step explanation:
PLEASE HELP!!!
Solve for x using the Quadratic Formula: x2 + 2x + 1 = 0
-b+Vb2-4ac
X=
2a
Ox=2
Ox= 1
O x = 0
O x = -1
Answer:
last option, x = -1
Step-by-step explanation:
[tex]x^{2} + 2x + 1 = 0\\x_{1} = \frac{-2 + \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{2} = \frac{-2 - \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{1} = \frac{-2 + \sqrt{0} }{2}\\x_{2} = \frac{-2 - \sqrt{0} }{2}\\x = \frac{-2}{2} \\x = -1[/tex]
The value of x by using the Quadratic Formula is,
⇒ x = - 1
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Equation is,
⇒ x² + 2x + 1
Now, We can use the Quadratic Formula for x as;
⇒ x² + 2x + 1
⇒ x = - 2 ± √2² - 4×1×1 / 2
⇒ x = - 2 ± √4 - 4 / 2
⇒ x = - 2 / 2
⇒ x = - 1
Thus, The value of x by using the Quadratic Formula is,
⇒ x = - 1
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Ms. Garcia's garden is made up of 15 corn plants and 10 squash plants. What is the ratio of the number of corn plants to the number of squash plants in Ms. Garcia's garden?
options:
A. 1:3
b.2:3
c.3:2
d. 3:1
Factor the common factor out of each expression.
-8b+4
Answer:
Common Factor is 4.
Step-by-step explanation:
-8b + 4
Both have a 4 in it.
-8b + 4 / 4 = -2b
Graph the equation
x - y= -4
Answer:
y=x+4
Step-by-step explanation:
y intercept should be at positive 4 and a straight line going in the positive direction
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.
Plan A: Raise the price by $0.10 each week until the price reaches $12.00.
Plan B: Raise the price by 10 percent each week until the price reaches $12.00.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.
Plan D: Raise the price by $0.25 each week until the price reaches $12.00.
Which plan will result in the price of the feed reaching $12.00 fastest?
plan A
plan B
plan C
plan D
Answer:
B
Step-by-step explanation:
essentially the plan that increases the price the most per week reaches the goal of $12 fastest.
plan A is $0.10 per week.
plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.
that means 10% of $8 = $0.80 per week.
plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.
plan D : $0.25 per week.
so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.
find the value of n.
8 × 2^3n = 2^12
6th grade math help me
find the value of n.
8 × 2^3n = 2^12
Answer :-n = 3
Solution :-[tex]\sf\ given \:: \: 8 \times 2 ^{3n} [/tex]
[tex]\sf\rightarrow 8 \times 2 ^{3n} \: = {2}^{12} [/tex]
[tex]\sf\rightarrow {2}^{3n} = {2}^{12} \: \: (8 = {2}^{3} )[/tex]
[tex] \sf\rightarrow {2}^{3n + 3} = {2}^{12} \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )[/tex]
Equating powers since bases are same.
[tex]\sf\rightarrow 3n \: + 3 = 12[/tex]
[tex]\sf\rightarrow 3n \: + 3 - 3 = 12 - 3[/tex]
[tex]\sf\rightarrow 3n = 9[/tex]
Divide both sides by 3.
[tex]\sf\rightarrow n = 3[/tex]
Thus the value of n is 3 .
Marcus had to drive to a job training workshop in a city 225 miles away from his home. He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training. How much was he paid for attending this workshop?
Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
How to calculate allowance?According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.
He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.
This means that Marcus was paid as follows:
$0.55 × 225 miles = $123.75$145 × 4 = $580Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
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Find the perimeter of the region.
41 in.
T
11 in.
T
11 in. >
I
1
I
- 41 in.-
Answer:
18 region
Step-by-step explanation:
step 1. 11+11+1=23
step 2. 23-41= -18 region
Add.
Your answer should be an expanded polynomial in standard form.
(8r^27r-9) + (−r²+ r) =
The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.
What is the Standard Form of a Polynomial?The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.
Given the polynomial:
(8r² - 7r - 9) + (-r² + r)
Distribute to open the bracket
8r² - 7r - 9 - r² + r
Combine like terms
7r² - 6r - 9 (standard form)
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What is the volume of a sphere with a diameter of 8.6 m, rounded to the nearest
tenth of a cubic meter?
please i will give brainliest if right
Answer:
s = 156.25 square meters
Step-by-step explanation:
s = 2lw + 2lh + 2wh
s = 2(5.5)(3) + 2(3)(7.25) + 2(5.5)(7.25)
s = 33 + 43.5 + 79.75
s = 156.25 square meters
Answer:
We know,
[tex] \quad [/tex][tex]{\boxed{ \rm{Surface \: Area_{ \: (rectangular \: prism)} = 2(lb + bh + hl)}}}[/tex]
where,
Height (h) = 7.25mBreadth (b) = 3mLength (l) = 5.5m[tex] \: [/tex]
[tex] {\longrightarrow { 2 ( 5.5 \times 3 + 3 \times 7.25 + 7.25 \times 5.5 ) }} [/tex]
[tex] \longrightarrow [/tex] 2 ( 16.5 + 21.75 + 39.875 )
[tex] \longrightarrow [/tex] 2 ( 78.125 )
[tex] \longrightarrow [/tex] 156.25
Thus, The Surface Area of rectangular prism is 156.25cm².
[tex] \rule{200pt}{2pt} [/tex]
Additional Information:[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{ \sf{\pmb{ \blue{More \: Formula}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]
Students were asked how they traveled to school. The two-way relative frequency table
shows the results. Write answers as decimals rounded to the nearest hundredth.
Method
School
Car Bus Other TOTAL
Middle School 0.19 0.15 0.11
0.45
High School
0.33 0.13 0.09
0.55
TOTAL
0.52 0.28 0.20
1.00
What is the joint relative frequency of high school students who ride the bus?
The joint relative frequency of high school students who ride the bus is
Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.
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what is 4915 multiplied by 345
Answer:
1,695,675
Step-by-step explanation:
Me using the calculator <3
Determine the square foot of logo 2 write it out in equation form I’ll give 100 points
Answer:
45 ft²
Step-by-step explanation:
Logo 2 comprises 5 congruent squares with side length 1/2 in
Given scale: 1 in = 6 ft
⇒ 1/2 in = 3 ft
Area of a square = s² (where s is the side length)
⇒ area of one of the squares of logo 2 = (3 ft)² = 9 ft²
Therefore, the total area is:
⇒ area = 5 × 9 ft² = 45 ft²
In equation form:
A = 5(6s)²
where:
A = area (in ft²)s = side length (in inches)if there are 20 balloons and 5 pop how many are left
1. Find the radian measure for 150 degrees.
2. Find the degree measure for π/2.
Please explain how you used the unit circle to solve these questions.
Answer:
Step-by-step explanation:
1. 150 * π/180
= 150π/180
= 5π/6
=2.62
2. π/2
π/2 * 180/π
= 90 degrees
Step-by-step explanation:
1)150° 's radian measure
[tex] \rm \implies150 \: Deg × π/180 = 2.618 \: Radians[/tex]
2)π/2 's degree measure
[tex] \rm \: \implies \: π/2 × 180/π= 180/2 = 90 \: degrees[/tex]
Basically,we need to use formulas to solve these type of sums.
A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent. what is the probability that a student chooses drama as an elective?
The probability that a student chooses drama as an elective is 7%.
What is the concept of probability?Probability is the study of the odds of obtaining each outcome of a random experiment. These odds are assigned the real numbers in the range between 0 and 1. Results closer to 1 are more likely to occur.
In this case, we can call:
A represents ArtD represents Drama.So, the information given was:
P(A) = 15%P(A or D) = 20%P(A and B) = 2%The formula will be:
P(A or D) = P(A) + P(D) - P(A and D)
So:
[tex]20\% = 15\% + P(D) - 2\%\\P(D) = 20\% - 15\% + 2\%\\P(D) = 7\%[/tex]
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Solve the system with
elimination.
x - y = 10
3x - 2y = 25
Answer:
Step-by-step explanation:
{x,y}={5,-5}
Subtract and simplify. What is the restriction on x?
[tex]x\neq[/tex]
[tex]\frac{2}{x^2-25} - \frac{3x}{x^2-4x-5}[/tex]
[tex]\cfrac{2}{x^2-25}~~ - ~~\cfrac{3x}{x^2-4x-5}\implies \cfrac{2}{\underset{\textit{difference of squares}}{x^2-5^2}}~~ - ~~\cfrac{3x}{(x+1)(x-5)} \\\\\\ \cfrac{2}{(x-5)(x+5)}~~ - ~~\cfrac{3x}{(x+1)(x-5)}\implies \cfrac{(x+1)2~~ - ~~(x+5)3x}{\underset{\textit{using this LCD}}{(x+1)(x-5)(x+5)}} \\\\\\ \cfrac{2x+2-3x^2-15x}{(x+1)(x-5)(x+5)}\implies \cfrac{2-3x^2-13x}{(x+1)(x-5)(x+5)}\qquad x\ne -1,\pm 5[/tex]
why can't it be -1 or 5 or -5? if it ever does become that, the denominator will go poof and the fraction undefined.
Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.
A.
40 feet
B.
80 feet
C.
117 feet
D.
160 feet
Answer:
C) 117 Feet
Step-by-step explanation:
The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.
100^2+60^2=c^2
10000+3600=c^2
c^2=13600
c=116.6190379
Round --> 117
Thus the answer, C).
Here are some fractions.
3/10 7/20 2/5 1/4
Write these fractions in ascending order.
Answer:
1/4, 3/10, 7/20, 2/5
Step-by-step explanation:
1/4 = 25%
3/10 = 30%
7/20 = 35%
2/5 = 40%
