Given:
Amy spent $90 at the store.
She spent [tex]\dfrac{1}{3}[/tex] of her money on food, [tex]\dfrac{1}{6}[/tex] of her money on school supplies, and [tex]\dfrac{1}{9}[/tex] of her money on soda.
To find:
How much did she spend on school supplies?
Solution:
According to the given information, Amy spend [tex]\dfrac{1}{6}[/tex] of her money on school supplies.
Amy spent $90 at the store. So,
Money spend on school supplies = [tex]\dfrac{1}{6}\times 90[/tex]
= [tex]15[/tex]
Therefore, Amy spend $15 on school supplies.
True or False:
x2 and -2x2 are like terms
Answer:
true i think....
Step-by-step explanation:
like terms have the same variables but don't need to have the same coefficients.
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
A trapezoid has bases of 20 inches and 30 inches. The height of the trapezoid is 15 inches. What is the area of the trapezoid in square inches? in2
Answer:
375in^2
Step-by-step explanation:
area of a trapezoid is base + base divded by 2 then times that by the height
20 + 30 = 50
50/2 + 25
25 x 15 = 375
Kendall went to the candy store and bought 2 pounds of candy. If 1/5 of Kendall's candy was chocolate, how many pounds of chocolate candy did Kendall buy?
The answer is 1/10
This is simple division
The equation is (1/5÷2)
I did my work on a sheet of paper so i know i did this correctly
My explanation of my work:
Keep change flip is the operation used here
So you keep 1/5 ,change the division sign to multiplication and flip the 2/1 into 1/2 so the new equation is (1/5x1/2) the answer to that is 1/10
Have an amazing day :)
-yO mAmA
According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 companies showed that 98 beat estimates, 29 matched estimates, and 35 fell short. (a) What is the point estimate of the proportion that fell short of estimates
If required, round your answer to four decimal places. pshort = (b) Determine the margin of error and provide a 95% confidence interval for the proportion that beat estimates. If required, round your answer to four decimal places. ME = (c) How large a sample is needed if the desired margin of error is 0.05?
Find the volume of the cone
Acellus
Answer:
Step-by-step explanation:
Volume of the cone
Height =2 √3
Base = 2cm
A florist measures the lengths of roses the lengths in inches of a dozen roses are given below
Answer:13.5
Step-by-step explanation:
Angles in triangles
Question is in the photo
Answer:
JSJXJX
Step-by-step explanation:
CF<DC<DE<DF<FE
The number of households without a computer at home in 2009 was closest to A)801000 B)1153000 C)1737000 D)3433000 E)4017000
Answer:
B) 1153000
Step-by-step explanation:
Given
See attachment
Required
Number of households without computer in 2009
From the attachment, we have:
[tex]n=5170000[/tex] --- survey
[tex]p = 22.3\%[/tex] --- proportion without computer
So, the actual number is:
[tex]Number = p * n[/tex]
[tex]Number = 22.3\% * 5170000[/tex]
[tex]Number = 1152910[/tex]
[tex]Number \approx 1153000[/tex]
Hence: (B) is correct
What is the greatest common factor of 18, 24, and 40?
Answer:
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
Then the greatest common factor is 2.
The greatest common factor of 18 , 24 and 40 is HCF = 2
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the HCF be represented as H
Let the first number be represented as p
Now , the value of p = 18
Let the second number be represented as q
Now , the value of q = 24
Let the third number be represented as r
Now , the value of r = 40
And , the factors of 18 = 1, 2, 3, 6, 9 and 18
The factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24
The factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40
So , the HCF of 18 , 24 and 40 is the number 2
Hence , the HCF is 2
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Quadrilateral EFGH is on a coordinate plane. Segment FG is on the line 3x − y = −2, and segment EH is on the 3x − y = −6. Which statement proves how segments FG and EH are related?
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
-2 = 3x - y
- 2 - 3x = -y
y = 3x + 2
Thus, the slope of the equation is 3.
The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,
y = mx + c
3x - y = -6
-y = 6 - 3x
y = 3x+6
Thus, the slope of the equation is 3.
Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.
Learn more about Equation of Line:
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if S is midpoint of GA, then?
[tex]s \: = \: \frac{g + a}{2} [/tex]
friends help me out
state true or false
0 is the multiplicative inverse of 0?
Answer:
false
Step-by-step explanation:
I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.
ITS URGENT
find the missing length of the triangle.
Ruby has a points card for a movie theater.
• She receives 50 rewards points just for signing up.
She earns 14.5 points for each visit to the movie theater.
She needs 224 points for a free movie ticket.
.
How many visits must Ruby make to earn a free movie ticket?
Answer: 12 times
Step-by-step explanation:
Find the GCF. (Greatest Common Factor) Use^ to show exponents if
needed. *
3x5 + 6x + 6
Answer:
the greatest common factor is 3
2. Find the slope from the ordered pairs. (-4, 7).(-6, -4) *
2 1/10
-2 1/1
-1 1/10
11/10
Answer:
Step-by-step explanation:
slope = m
m = y2-y1 / x2 - x1
m = (-4) - 7 / (-6) - (-4)
m = -11 / (-6) + 4
m = -11 / -2
m = 11/2
:)
Calculate
√6x√20 divided by
√3
Give your answer in the form a√b where a and b are integers, and b is as small as
possible.
Answer:
(√6x√20) / √3 = 2√10
Step-by-step explanation:
hello :
(√6x√20) / √3 =√2x√3 x√4x√5 / √3
because : √6 = √2x√3 and √20= √4x√5 = 2x√5
now simplify by √3 :(√6x√20) / √3 =√2x2x√5
(√6x√20) / √3 = 2√10 so : a =2 and b =10
I don’t understand how this works?
Please help, thanks.
Answer:
(B) Is the answer here
Step-by-step explanation:
Well a function’s domain can’t repeat no matter what.
Domain is X.
So the first one doesnt work since it repeats to every single digit that exists.
The second one works becuase the domain aren’t repeated and the range being repeated (or known as y) is but that deosn’t matter.
Answer:
B
Step-by-step explanation:
Hello There!
In order for the relations to be a function the x values may not repeat
For answer choice A the x value -2 repeats multiply times therefore the relation is not a function
For answer choice B each x value has a different y value so this might be our answer but just to be safe lets look at the other answer choices
For answer choice C the x values -3 and 2 repeat therefore it is not a function
For answer choice D the x value 2 repeats therefore the relation is not a function
So we can conclude that the correct answer is B
A store is offering a discount of 15% on fishing rods what is the amount a customer will pay for a rod regularly priced at $25.00
Answer:
$21.25
Step-by-step explanation:
$25 x 0.85 = $21.25
speed of light is approximately 3x10^8 meters per second. While solving a problem,
Cara used 3x 10^10 meters per second for the speed of light and got the incorrect answer.
By which factor should Cara multiply her answer in order to get the correct answer?
plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.
Lainey bought a set of 20 markers for $6 sign
What is the cost of 1 marker?
Answer:
3 cents
Step-by-step explanation:
cost of 20 markers=$6
cost of 1 marker=?
Cost of 1 marker = 6/20 = 3/10 = 0.3
It costs 3 cents.
El conjunto de 10 centenas de mil es igual a _________ unidades El conjunto de 10 decenas de mil es igual a __________ unidades
Answer:
10 centenas de mil = 1000.000 unidades.
Step-by-step explanation:
Recordemos que 10 centenas es igual a 1000 unidades
Ahora, 10 centenas de mil seria un millon de unidades
Osea, 1000.000 unidades.
Espero te haya servido.
what is the area of the triangle?
Answer:
21
Step-by-step explanation:
10^2-8^2=36
square root of 36=6
height=6
6x7x1/2=21
Alexis left her house at 7:45pm to go shopping for clothes. She returned at 10:30pm.
a) Express the time in hours that Alexis spent away from home.
b) If Alexis spent 1 1/2h shopping for clothes, then how much time did she spend doing other things?
Step by step explanation
Which two of the following numbers are rational?
1/3
.10
.π
√2
Answer:
1/3, 0.10
Step-by-step explanation:
Rational numbers can be expressed as a fraction of two integers.
1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer
0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.
.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational
√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.
Halp plzzz i need help finding the angle
Answer: The answer to what is the measure of angle x is 48°.
Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.
48°+42°=90° and this is a right scalene triangle.
Solve the right triangle
Answer
measure of angle A: 28 degrees
BC ≈ 13.3
BA = 28.3
hope this helps
Step-by-step explanation:
angle A
90- 62 = 28
angle A = 28
BC
tan (A) = BC / 25
(25) tan 28 = BC / 25 (25) multiply 25 on both sides to cancel it out from BC
13.292735 = BC
BC ≈ 13.3
BA
BA^2 = 13.3^2 + 25^2 Pythagorean theorem
BA ≈ 28.3
If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)
What are the factors of the expression x^2+x-20?
Answer:
(x-4)(x+5)
Step-by-step explanation:
Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)
What's 65-70 days in weeks
Answer:
About 9-10 weeks
Step-by-step explanation:
70/7= 10
Answer:
9-10
Step-by-step explanation: