John bought 15 cookies and ate 3 of them. He ate % of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Answer:
20%
Step-by-step explanation:
Divide 3 by 15 to get 1/5. If you divide 1 by 5, you will get a decimal answer of 0.2. To convert a decimal to a percent, you must multiply the decimal by 100, which basically means to move the decimal place to the right twice. You will then get the product and final answer of 20%.
Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.
Answer:
the answer is there should be another digit in the quotient
Answer:
No, because there should be another digit in the quotient
I am trying to understand how to solve for X, then solve the equation
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
A gym charges each member $100 for a membership fee and $30 per month after that. How much money will a member spend after 6 months
Answer:
280
Step-by-step explanation:
Month 1: 100 + 30 = 150
Month 2: +30
Month 3: +30
Month 4: +30
Month 5: +30
Month 6: +30
Total: 280
Hope this helps!
Answer:
$280
Step-by-step explanation:
For this problem, we simply need to take the initial cost of membership and add that to the reoccurring cost from a time period, in this case, 6 months. So let's make an equation to represent this.
The initial cost is $100
The per month cost is $30
Total cost after 6 months = Inital cost + Per Month Cost * 6 months
Total cost = $100 + $30 * 6
Total cost = $100 + $180
Total cost = $280
Thus, a member will spend $280 after 6 months on the membership.
Cheers.
COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]
Find an equation parallel to x = 0 and passing through (5. - 1).
Answer:
x=5
Both are vertical lines and parallel to each other.
In the year 2005, a person bought a new car for $27500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2008, to the nearest hundred dollars?
Answer:
Getting my point back lol
Step-by-step explanation:
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. The least expensive pair of cleats Andre wants costs $68.
a.) Write an inequality to find the number of subscriptions he needs to sell so that he can buy a pair of cleats.
b.) Solve the inequality from part (a).
c.) Interpret (what does it mean) and graph the solution.
Answer:
68≥25+3x
x≥15
Step-by-step explanation:
the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.
to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333..... since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15
this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions
hope this helped
a.) 25x + 3y ≥ 68
b.) x = 1, y = 43
c.) As x increases, y decreases
What is a linear inequality?A linear inequality is a mathematical relation which gives the range of values a variable or a function can take.
Given,
Wage per week= $25
Subscription earning = $3
Let x and y be the number of weeks and number of subscriptions.
Therefore, 25x + 3y ≥ 68
Hence, 25x + 3y ≥ 68 is the required inequality.
Let x = 1
Therefore minimum value of y = 43.
To learn more about inequalities visit:
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What is the extraneous root of this problem?
Answer:
a: -6
Step-by-step explanation:
[tex]\sqrt{5(-6)+6} =\sqrt{-24} = -6\\[/tex]
This equation is not correct, therefore A is not a root and is extraneous
Benjamin wants to buy a video game that costs $24, but he only wants to spend 40% of his savings. How much must Benjamin save in order to buy the game?
Answer:
$14.4
Step-by-step explanation:
I don't quite understand this question, but this is what I think
factorise the following fully:
6a⁴b⁶-8a³b⁵+12a²b³
Answer:
2a^2 b^3(3a^2 b^3 - 4ab^2 + 6)
Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined
Answer:
Exact form: 157/20
Decimal Form: 7.85
Mixed Number Form: 7/17/20
Step-by-step explanation:
The quotient of 8 divided by 1/5 will be _____ 8.
Answer:
5
Step-by-step explanation:
Answer:
Less Than :)
Step-by-step explanation:
A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?
9514 1404 393
Answer:
24 cups
Step-by-step explanation:
One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...
4 × 6 cups = 24 cups . . . combined
Determine what type of number the solutions are and how many exist for the equation 3x^2+7x+5=0
Answer:
Two complex (imaginary) solutions.
Step-by-step explanation:
To determine the number/type of solutions for a quadratic, we can evaluate its discriminant.
The discriminant formula for a quadratic in standard form is:
[tex]\Delta=b^2-4ac[/tex]
We have:
[tex]3x^2+7x+5[/tex]
Hence, a=3; b=7; and c=5.
Substitute the values into our formula and evaluate. Therefore:
[tex]\Delta=(7)^2-4(3)(5) \\ =49-60\\=-11[/tex]
Hence, the result is a negative value.
If:
The discriminant is negative, there are two, complex (imaginary) roots. The discriminant is 0, there is exactly one real root. The discriminant is positive, there are two, real roots.Since our discriminant is negative, this means that for our equation, there exists two complex (imaginary) solutions.
In the diagram below, \overline{OH} OH start overline, O, H, end overline is parallel to \overline{ID} ID start overline, I, D, end overline. Find the length of \overline{HD} HD start overline, H, D, end overline.
Answer:
HP=11
Step-by-step explanation:
Now that we have \blueE{HP}HPstart color #0c7f99, H, P, end color #0c7f99, we can find HDHDH, D.
\begin{aligned} HD&=\blueE{HP}+DP \\\\ &=\blueE{2}+9 \\\\ &=11 \end{aligned}
HD
=HP+DP
=2+9
=11
Using the AAA similarity theorem, the length of segment HD in the diagram given is: 11 units.
What is the AAA Similarity Theorem?If all corresponding angles of two triangles are congruent, then, they are similar triangles, based on the AAA similarity theorem.
ΔPOH ~ ΔPID by AAA similarity theorem.
Therefore, their corresponding sides would be proportional. Thus:
PH/PD = PO/PI
Substitute
PH/9 = 6/27
PH = (9 × 6)/27
PH = 2
HD = 2 + 9
HD = 11 units.
Learn more about the AAA similarity theorem on:
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Find the instantaneous rate of change of the function f(x)=3x^2 as x approaches 3.
Answer:
The instantaneous rate of change as x approaches 3 is 18.
Step-by-step explanation:
From Differential Calculus and Geometry we remember that instantaneous rate of change of the function is represented by a tangent line, whose slope is determined by the first derivative of the curve. Let [tex]f(x) = 3\cdot x^{2}[/tex], the instantaneous rate of change of the function when x approaches 3 is deducted from the definition of derivative:
[tex]f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex] (1)
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot (x^{2}+2\cdot x\cdot h +h^{2})-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{3\cdot x^{2}+6\cdot x\cdot h+3\cdot h^{2}-3\cdot x^{2}}{h}[/tex]
[tex]f'(x) = \lim_{h\to 0} \frac{6\cdot x\cdot h +3\cdot h^{2}}{h}[/tex]
[tex]f'(x) = \lim _{h\to 0} (6\cdot x+3\cdot h)[/tex]
[tex]f'(x) = 6\cdot x \cdot \lim_{h\to 0} 1 + 3\cdot \lim_{h\to 0} h[/tex]
[tex]f'(x) = 6\cdot x[/tex] (2)
If we know that [tex]x = 3[/tex], then the instantaneous rate of change as x approaches 3 is:
[tex]f'(3) = 6\cdot (3)[/tex]
[tex]f'(3) = 18[/tex]
The instantaneous rate of change as x approaches 3 is 18.
3. A solid cylinder has a radius of 6cm and a height of 20cm.
a. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures.
b. The cylinder is made of a material that has a density of 1.5g/cm3. Calculate the mass of the cylinder. Give your answer correct to 3 significant figures.
4. The diagram shows a right-angled triangular prism.
Answer:
a) 2260 cm³
b) 3390 grams
Step-by-step explanation:
3.
a)The radius of the solid cylinder = 6cm
The height of the cylinder is =20 cm
The volume = π*r²*h
The volume = 3.14 * 6²*20 =2260 cm³
b) Density of the material = 1.5 g/cm³
Volume of the cylinder = 2261 cm³
Mass of the cylinder = Density * Volume
Mass of the cylinder = 1.5 * 2261 = 3390 grams
A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Step-by-step explanation:
The slope intercept form of a line is given by:
[tex]y=mx+b[/tex]
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
[tex]y = \frac{3}{2}x+b[/tex]
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]
Putting b=-6 in the equation
[tex]y = \frac{3}{2}x-6[/tex]
Hence,
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Sing for a bicycle race. She recorded the distance he traveled in miles per hour on a graph. Determine the rate of change
Answer:
B
Step-by-step explanation: I got this right on the quiz.
What percent is equivalent to 2/3
66 1/3
66 3/5
66 2/3
66 7/10
Answer:
66 2/3
Step-by-step explanation:
(2/3)(100) = 66 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]
[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]
[tex]\mathbf{\dfrac{2}{3}}[/tex]
[tex]\mathbf{= 2\div3}[/tex]
[tex]\mathbf{= 0.66666667}[/tex]
[tex]\mathbf{= 0.66666667 \times 100}[/tex]
[tex]\mathbf{= 66.6666667\%}[/tex]
[tex]\mathbf{\approx 66.67\%}[/tex]
[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\mathbf{66 \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]
[tex]\mathbf{= \dfrac{199}{3}}[/tex]
[tex]\mathbf{= 199\div3}[/tex]
[tex]\mathbf{= 66.3333333}[/tex]
[tex]\mathbf{= 66.3333333 \times100}[/tex]
[tex]\mathbf{= 6,633.33333\%}[/tex]
[tex]\mathbf{\approx 6,633.33\%}[/tex]
[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\mathbf{66 \dfrac{3}{5}}[/tex]
[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{333}{5}}[/tex]
[tex]\mathbf{= 333\div5}[/tex]
[tex]\mathbf{= 66.6}[/tex]
[tex]\mathbf{= 66.6 \times 100}[/tex]
[tex]\mathbf{= 6,660}[/tex]
[tex]\mathbf{\approx 6,660\%}[/tex]
[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]
[tex]\mathbf{= \dfrac{200}{3}}[/tex]
[tex]\mathbf{= 200\div3}[/tex]
[tex]\mathbf{= 66.6666667}[/tex]
[tex]\mathbf{= 66.6666667\times100}[/tex]
[tex]\mathbf{= 6,666.66667}[/tex]
[tex]\mathbf{\approx 6,666.67\%}[/tex]
[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]
[tex]\huge\textsf{Option D.}[/tex]
[tex]\mathbf{66\dfrac{7}{10}}[/tex]
[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]
[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]
[tex]\mathbf{= \dfrac{667}{10}}[/tex]
[tex]\mathbf{= 667\div10}[/tex]
[tex]\mathbf{= 6.67}[/tex]
[tex]\mathbf{= 6.67\times100}[/tex]
[tex]\mathbf{= 6,670}[/tex]
[tex]\mathbf{\approx 6,670\%}[/tex]
[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]
[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]
[tex]\huge\textbf{The closest answer was:}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Question 1/3 There are 85 girls and 70 boys in the sixth grade. Of these students, 14 girls and 8 boys take piano lessons.
What percentage of the sixth graders at this school take piano lessons?
A. 14%
B. 22%
C. 18%
D. 12%
Answer:
A
Step-by-step explanation:
155-22/155 equal around 86% who don't so meaning 14% do take lessons.
Answer:
The answer is A.
Step-by-step explanation:
Maya has a dog and it wants to be pet
Answer:
so what is the question?
Evaluate
(0.3)*4= plplpl
Answer:
1.2
Step-by-step explanation:
0.3 * 4
= 3 * 0.1 * 4
= 3 * 4 * 0.1
= 12 * 0.1
= 1.2
What are the values of a and b?
a=
b=
Answer:
The values of a and b are:
a = 2[tex]b=4[/tex]Step-by-step explanation:
Given the exponential model
[tex]y=a\cdot \:b^x[/tex]
Given the points
(0, 2) and (3, 128)
We know that the y-intercept of [tex]y=a\cdot \:b^x[/tex] is (0, a).
so
a = 2
putting x = 3, y = 128 and a = 2
[tex]y=a\cdot \:b^x[/tex]
[tex]128=2\cdot \:b^3[/tex]
Switching sides
[tex]2b^3=128[/tex]
[tex]\frac{2b^3}{2}=\frac{128}{2}[/tex]
[tex]b^3=64[/tex]
Taking the real value such as:
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)}[/tex]
so
[tex]b=\sqrt[3]{64}[/tex]
[tex]b=\sqrt[3]{4^3}[/tex]
[tex]b=4[/tex]
Therefore,
a = 2[tex]b=4[/tex]need help with simplifying.
Answer:
Step-by-step explanation:
4x^3 + 7x^3 - 5x + 9x + 3 + 11 = 11x^3 + 4x + 14
Find the slope of a line parallel to the given line. y=4/5x+5
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
3. Estimate the quotient. Round the divisor first. 482 ÷61=
Answer:
8.033
Step-by-step explanation:
there are 3 rows of pictures on a wall. each row has 6 pictures. how many pictures are on the wall
Answer:
There are 18 pictures on the wall
Step-by-step explanation:
6 x 3 = 18
there is no way that simple multiplication is college level.
May I have brainliest please? :)