What are the ratio of the small box to the medium box?
The first step is to determine the side lengths of the small box.
Side length = ∛64 = 4 in
Side lengths of the medium boxes = 4 x 2 = 8 inches
Volume of the medium box = 8³ = 256 cubic inches
The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.
The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) = 1:4.
The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
Simplify 2(-3n - 5) + 5n
Answer:
-1n-10
Step-by-step explanation:
EXPLANATION:
Use PEMDAS it will show u from where to start first and you will end up with the right result
PEMDAS : Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
2(-3n-5) + 5n
distribute 2 in the parantheses
-6n-10+5n
-1n-10
what is the solution of the system of equation? y=2x-3 , 4x-3y=31
Answer:
Use Substitution.
Plug in 2x-3 in place of y in the second equation.
4x - 3(2x-3) = 31
4x - 6x + 9 =31
-9 -9
-----------------------
-2x=22 so x=-11
Then, y=2(-11)-3, so y=-25
So the solution would be (-11,-25).
Step-by-step explanation:
is the variable alone?
No
what is it attached to?
you always do adding or subtracting first so it is attached to 3
How is it attached?
by subtraction
what is the inverse operation?
it is addition
then all you do is the same thing but with multiplication or division
Hi!
We can solve this using the substitution method.
Given:
[tex]y=2x-3\\4x-3y=31[/tex]
Using the first question, we know that [tex]y[/tex] is equal to [tex]2x-3[/tex], so we can simply plug that value in to the second equation, like so:
[tex]4x-3(2x-3)=31[/tex]
Now, we can algebraically solve this for [tex]y[/tex]
[tex]4x-3(2x-3)=31[/tex]
Distribute.
[tex]4x-6x+9=31[/tex]
Add like terms.
[tex]-2x+9=31[/tex]
Subtract [tex]9[/tex] from both sides.
[tex]-2x=22[/tex]
Divide both sides by [tex]-2[/tex]
[tex]x=-11[/tex]
Now plug in that value to the first equation:
[tex]y=2(-11)-3[/tex]
Multiply.
[tex]y=-22-3[/tex]
Subtract.
[tex]y=-25[/tex]
The solution is (-11, -25)
Consider the right triangle shown.
What is the length of the other leg?
Round your answer to the nearest tenth
These are the three basic trigonometric ratios:
The sine ratio: [tex]\sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]The rangent ratio: [tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]Here, 'opposite' or adjacent are referring to the legs in relation to one of the interior angles of the triangle, θ.
We can use these ratios to help us solve for side lengths or angles, depending on what information is given to us and what information we must solve for.
Solving the QuestionWe're given:
The indicated angle (θ) measures 70° The adjacent side measures 5.7 unitsWe must solve for the other leg, which is the 'opposite' sideBecause this question involves the adjacent and the opposite, we can use the tangent ratio to find the answer.
[tex]\tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
⇒ Plug in the given information:
[tex]\tan(70^\circ)=\dfrac{opposite}{5.7}[/tex]
⇒ Multiply both sides by 5.7 to isolate 'opposite:
[tex]5.7\tan(70^\circ)=opposite\\opposite = 15.66062\dots[/tex]
⇒ Round to the nearest tenth:
[tex]opposite=15.7[/tex]
AnswerThe length of the other leg is 15.7 units.
8/7 as a mixed number
Answer:
[tex]1\frac{1}{7}[/tex]
Jacobey needs 32/3cups of milk to make one cheesecake. He is baking 4 cheesecakes for
the school bake sale. How many cups of milk does he need for the cheesecakes?
Answer: 14⅔
Step-by-step explanation: If he needs 3⅔ cups to make 1 cheese cake then he will need 11/3 ×4 cups to make 4 cakes
44/3 =14⅔
(Let me know if you mean 32/3 cups or 3⅔cups )
can someone help me please
Answer:
plug the 5 into the function
f(5)=(5)^2-5
f(5)= 25-5
f(5)=20
Step-by-step explanation:
Answer:
f(5) = 20
Step-by-step explanation:
so, we're going to plug in 5 as our x value, and the equation becomes:
f(5) = [tex](5)^{2}[/tex] - (5)
now we'll simplify
f(5) = 25 - 5
now solve...
f(5) = 20
What is the answer of two times two (2x2=)
Answer:
=> 2 × 2 = 4
Step-by-step explanation:
two times two is four
Answer:
2x1=1
2x2=4
so the answer is 4
Step-by-step explanation:
Worth 41 points!
A camp counselor buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased 5 hamburger meals and 6 chicken nugget meals, for a total of $39. On Thursday, she purchased 9 hamburger meals and 2 chicken meals, for a total of $35. Which pair of equations could be used to determine the cost of each type of meal?
Answer:
4x+3y=23
Step-by-step explanation:
4x+3y=23
2x+6y=34 multiply equation by 2 to get x values equivalent, so
4x+12y=68 now subtract firs equation from this
-(4x+3y=23)
so 9y=45 and y=5
now find x:
4x+3(5)=23
4x+15=23
4x=8
x=2
So, hamburgers cost $2 and chicken nuggets $5.
what is x and y?
2x-2y=-4
2x+y=11
Is there infinitely many solutions, 1 solution, or nosolution
Let's solve your system by substitution.
2x−2y=−4;2x+y=11
Rewrite equations:
2x+y=11;2x−2y=−4
Step: Solve2x+y=11for y:
2x+y=11
2x+y+−2x=11+−2x(Add -2x to both sides)
y=−2x+11
Step: Substitute−2x+11foryin2x−2y=−4:
2x−2y=−4
2x−2(−2x+11)=−4
6x−22=−4(Simplify both sides of the equation)
6x−22+22=−4+22(Add 22 to both sides)
6x=18
6x/6 = 18/6
(Divide both sides by 6)
x=3
Step: Substitute3forxiny=−2x+11:
y=−2x+11
y=(−2)(3)+11
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
Between 3 pm and 6 pm the temperature dropped from 88 degrees to 60 degrees frond the percent of decrease
Answer:
31.81%
10.60% per hour
Step-by-step explanation:
88 - 60 = 28
28/88 = .31818181818
.31818181818 = 31.81%
.31818181818/3 = .10606060606
.10606060606 = 10.60%
At a school assembly, there are 150 students. If the students are to be dismissed in groups of 10, how many groups will be made?
Answer:
15 groups would be made.
Explanation:
150 divided by 10 = 15
WILL MARK BRAINLIST!!!
Answer:
[tex]3/4[/tex]
Step-by-step explanation:
We are asked to find the difference which means we will be using subtraction.
We are given two numbers to use [tex]4\frac{1}{12}[/tex] (Houston to Dallas) & [tex]3\frac{1}{3}[/tex] (San Antonio to Houston).
To be able to subtract, we need to have the same denominator on both fractions, which we can do by multiplying 1/3 by 4
[tex]\frac{1}{3} * 4=\frac{4}{12}[/tex]
now we can subtract the numbers and simplify!
[tex]4\frac{1}{12} -3\frac{4}{12} =\frac{9}{12} =\frac{3}{4}[/tex]
Sharon bought 4/5 pound of flour for $1. What is the cost of 1 whole pound of flour?
A water tank is in the shape of a cylinder with a height of 21 feet and a diameter of 8 feet. What is the volume, in cubic feet, of the water tank?
Answer:
1,055.04
Step-By-Step explanation:
Volume equals pi times radius squared times the hight.
You first calculate what the radius will be by dividing the diameter by two and then you procede to multiply the radius to a power of two which is the equvialent as multiplying it to the base number and then you multiply the then squared radius to pi and lastly multiply it by the hight and you have your answer.
[tex]\pi * (8x^{2}) * 21 \\\pi * (4x^{2}) * 21\\\pi * 16 * 21\\50.24 *21\\=1,055.04[/tex]
What is the measure of one interior angle of a 26 gon?
[tex]\textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n~~ - ~~2) \begin{cases} n=\stackrel{\textit{number of}}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=26 \end{cases}\implies (26)\theta =180(26~~ - ~~2) \\\\\\ 26\theta =180(24)\implies 26\theta =4320\implies \theta =\cfrac{4320}{26}\implies \theta \approx 166.15^o[/tex]
A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?
Answer:
400 miles
Step-by-step explanation:
150---3
x --- 8
x= (150)(8) / 3 = 1200/3 = 400
Hope this helps
Answer:
x=400 miles
Step-by-step explanation:
What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.
The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.
What is a hexagon?The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.
The perimeter of the hexagon is 7.5 inches.
Then the length of the hexagon will be
[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]
The length of the hexagon is 1.25 inches.
Then the diagonal length of the hexagon will be
y = 2 × 1.25
y = 2.5
The diagonal length of the hexagon is 2.5 inches.
Then the length of the dotted line is 3.75 inches.
More about the hexagon link is given below.
https://brainly.com/question/3295271
What is Foil Method give atleast one example
A foil method is a technique where two or more binomials multiply.
FirstOuterInnerLastExample 1[tex]\tt{(b + 3) (b + 7)}[/tex]
[tex]\tt{F: (b)(b) = b^2}[/tex]
[tex]\tt{O: (b)(7) = b7}[/tex]
[tex]\tt{I: (3)(b) = 3b}[/tex]
[tex]\tt{L:(3)(7) = 37}[/tex]
[tex] \tt{=b^2 +7b+3b+21}[/tex]
[tex]= \boxed{ \tt{b^2 +10b+2}}[/tex]
Example 2[tex]\tt{(x + 3)^2}[/tex]
[tex]\tt{F: (x)(x) = x^2}[/tex]
[tex]\tt{O: (x)(3) = x3}[/tex]
[tex]\tt{I: (3)(x) = 3x}[/tex]
[tex]\tt{L:(3)(3) = 9}[/tex]
[tex] \tt{=x^2 +3x+3x+9}[/tex]
[tex] = \boxed{ \tt{x^2 +6x+9}}[/tex]
make u the subject of formula in the equation s=2(u+v)t
Answer
u = s/2t - v
Step-by-step explanation:
For which equation is 0 not a solution?
x - 5 = 4
6 x + 4 = 4
3 x = 0
x + 9 = 9
I think its the third one
Find the 12th term of the geometric sequence 2, -8, 32,
Answer:
what kind of term is this
Step-by-step explanation:
(Please answer, 100 points)
Find the circumference of each of the following circles. Use 3.14 for π.
(The last one is 25 mi across.)
These were my answers, are they correct:
6a. 53.38
6b. 100.48
6c. 122.46
6d. 78.5
use the formula 2πr
106.76 300.962×3.14×(1/2)×39 = 122.4678.5the c bit I did the whole process cuz the diameter is given and for the d bit i thought what you were trying to say is 25 diameter.
hope it helps and don't forget to put the units wherever necessary.!!!!
The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.
Which equation can be used to determine the fraction of the whole cake each friend will receive?
Answer:
The model is shaded to represent the remaining one-half of a cake. Three friends will each receive an equal amount of the remaining cake until it is all gone.
cake
Carmen earns 3% a year on money in her savings account. She had $354 in her account last year how much interest did she earn
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3\% of 354}}{\left( \cfrac{3}{100} \right)354}\implies 10.62[/tex]
Choose the method of pay that would result in the most earnings for one month on sales of $60,000. a. straight commission of 6% on all sales. b. monthly salary of $1,500 plus 3% commission on all sales. c. graduated commission of 4% on the first $50,000 in sales and 10% on anything over that. d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that. please select the best answer from the choices provided a b c d
The method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We're specified that:
One month sales of $60,000 occurs.Calculating the earnings from all the options:
Option a: straight commission of 6% on all sales.That means, we get:
Earning = 6% of 60,000 = [tex]\dfrac{60000}{100} \times 6 = 3600[/tex] (in dollars)
That means:
Earning = 1500 + 3% of 60,000 = [tex]1500 +\dfrac{60000}{100} \times 3 = 1500 + 1800 = 3300[/tex] (in dollars).
Option c : graduated commission of 4% on the first $50,000 in sales and 10% on anything over thatThat means, we get:
Earning = 4% of 50,000 + 10% of 10,000 (as total 60,000 dollars sales was done).
Earning = [tex]\dfrac{50000}{100} \times 4 + \dfrac{10000}{100} \times 10 = 2000 + 1000 = 3000[/tex] (in dollars)
Option d: graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.That means:
Earning = 5% of 40,000 + 9% of 20,000 (as 40000 + 20000 = 60000)
or, we get:
Earning = [tex]\dfrac{40000}{100} \times 5 + \dfrac{20000}{100} \times 9 = 2000 + 1800 = 3800[/tex] (in dollars).
Thus, option D provides the method for max earning.
Thus, the method of pay that would result in the most earnings is: Option d. graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
Learn more about percent here:
https://brainly.com/question/11549320
Answer:
D
Step-by-step explanation: i took the test
subtract R from 6. Then add 3
Marco and Juan entered a trivia competition. When they miss a question,they lose points.
A toy manufacturing organization manufactures two types of toys A and B. Both the toys are sold at birr 25 and birr 20 respectively. There are 2000 resource units available every day from which the toy A requires 20 units while toy B requires 12 units. Both of these toys require a production time of 5 minutes. Total working hours are 9 hours a day. How much is the maximum profit?
Answer:
The answer is B I did this already
Find PNFNM
answer choices below
Answer:
The answer is C. HOPE THIS HELPS!
Step-by-step explanation:
PLS GIVE ME BRAINILIEST IT WOULD REALLY REALLY HELP ME!
Milani's teacher draws students names at random, calls on the student, and replaces the name so that students know they should always be prepared to respond. There are 202020 students in Milani's class. Let XXX be the number of names it takes for the teacher to draw Milani's name.
Find the probability that the teacher first draws Milani's name as the 7^{\text{th}}7
th
7, start superscript, start text, t, h, end text, end superscript name.
You may round your answer to the nearest hundredth.
P(X=7)=P(X=7)=
Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.
The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:
P(X = 7) = (0.95)^6 x 0.05 = 0.0368.
0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
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