Answer:
313.6 sqft.
Step-by-step explanation
Decimal
First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.
Fraction
First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.
1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?
Answer:
10 kg
Step-by-step explanation:
Let x be the mass of her cat.
1)
2x + 6 = 16
2x = 16 - 6
2x = 10
x = 10/2
x = 5
2)
2(5)
= 10
Answer:10kg
Step-by-step explanation:
Help please. Thank you
Step-by-step explanation:
use the formula and simply solve
What is the difference between a metric and a norm?
Answer:
A norm and a metric are two different things. .
Step-by-step explanation:
The norm is measuring the size of something, and the metric is measuring the distance between two things. A metric can be defined on any set . It is simply a function which assigns a distance (i.e. a non-negative real number) to any two elements .
The major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.
What is measurement?It is defined as the numerical quantity that gives an idea about an object's size, length, width, and many more. It can be used to compare two objects.
The major difference between metrics and norms is as follows:
A metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.Metrics may be expressed on almost anything, however, a norm can only be defined on vector spaces but since the definition of a norm requires that the things measured by the norm be added and scaled.Thus, the major difference between the matric and norms is that metric is a unit of measurement that measures the distance between two objects. The size of a single thing is measured by a norm.
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assume that
show work
Answer:
Assume what? And show work for what?
Ash company reported sales of $580,000 for year 1, $630,000 for year 2, and $680,000 for year 3. Using year 1 as the base year, what is the revenue trend percent for years 2 and 3??
Answer:
Year 2: 109.4%
Year 3: 118.9%
Step-by-step explanation:
Given;Ash company reported sales of $580,000 for year 1$630,000 for year 2, $680,000 for year 3.Now,
For the revenue trend percent for year 2
Year 2: $580,000 / $530,000 × 100 = 109.4%
For the revenue trend percent for year 3
Year 3: $630,000 / $530,000 × 100 = 118.9%
Thus, The answer is 109.4% and 118.9%.
-TheUnknownScientist 72
In the figure below, BC=7 and AB= 16. Find AC.
The expressions BC and AB are illustrations of straight lines
The length AC is 25 units
How to determine the length of AC?The given parameters are:
BC =7
AB = 16
Assume that AB and BC are straight lines.
Then , we have:
AC =AB + BC
Substitute known values
AC = 16 + 7
Evaluate the sum
AC = 25
Hence, the length AC is 25 units
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NOCTI MATH REVIEW
all
1) if the cost of one case of fresh pineapples is $14.95 for a case of 6, and the
calculated waste factor is 15 percent, what is the actual cost of each pineapple?
Using proportions, it is found that the actual cost of each pineapple is of $2.12
What is a proportion?A proportion is a fraction of a total amount.
In this problem, considering that the waste factor is of 15%, the total price should be of:
P = 0.85 x $14.95 = $12.7075.
For a case of 6 pineapples, hence the price of each is given by:
Pp = $12.7075/6 = $2.12.
More can be learned about proportions at https://brainly.com/question/24372153
The actual cost of each pineapple with a waste factor of 15% is $12.71
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:
Actual cost = 14.95 - 15% of 14.95 = $12.71
The actual cost of each pineapple with a waste factor of 15% is $12.71
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Jessica is going to paint her
patio. It is made up
of two
rectangles. One measures
7ft. x 4 ft. x 5ft. and the other
measures 10ft. x 8ft. x 6ft.
What is the total area of her
patio?
Answer:
514 square feet
Step-by-step explanation:
2(7×4+4×5+5×7)+2(10×8+8×6+10×6)
=2*83 +2*188
=166+376
=542 square feet
7*4=28
542-28=514 square feet
Answer:
640ft
Step-by-step explanation:
7ft×4ft×5ft = 160
10ft×8ft×6ft=480
Add them together
480+160=640 so the answer is 640ft
A principal of a large high school wants to estimate the true proportion of high school students who use the community's public library. To do so, he selects a random sample of 50 students and asks them if they use the community's public library. The 95% confidence interval for the true proportion of all students who use the community's public library is 0.25 to 0.34. If the principal had used a sample size of 200 students rather than 50 students, how would the length of the second interval compare to the original interval?
O It would be half as wide.
O It would be twice as wide.
O It would be one-fourth as wide.
O It would be four times as wide
ws
Considering the margin of error of a confidence interval, it is found that the correct option is:
It would be half as wide.
What is the margin of error of a confidence interval?It is modeled by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value.s is the standard deviation.n is the sample size.From this, we get that the margin of error is inversely proportional to the square root of the sample size. Then, multiplying the sample size by 4, when it changes from 50 to 200, cuts the margin of error in half, making the interval half as wide.
More can be learned about the margin of error of a confidence interval at https://brainly.com/question/25890103
Answer: It would be half as wide
Step-by-step explanation:
If the principal had used a sample size of 200 students rather than 50 students, the length of the second interval would be half as wide compared to the original interval.
The width of a confidence interval is inversely proportional to the square root of the sample size. In this case, the sample size is multiplied by 4 (from 50 to 200), so the square root of the sample size is doubled. As a result, the width of the confidence interval is divided by 2, making it half as wide.
Therefore, the correct answer is: It would be half as wide.
- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know
Solve for a
SOLVE ASAP!!
Have a good rest of your Day
A mirror is in the shape of an isosceles right triangle and has a hypotenuse length of seven times the square root of two. What is the length of one of the legs?
square root of two.
3.5
seven times the square root of two.
7
The length of one of the legs of an isosceles right triangle and has a hypotenuse length of seven times the square root of two is 7 units.
What is an Isosceles triangle?Isosceles triangles are triangles that has two of it sides equal to each other. The base angles of an isosceles triangle are equal.
The isosceles triangle is also a right angle triangle. The hypotenuse is the longest side of a right angle triangle.
Therefore,
hypotenuse = 7(√2)
let the length of the other legs = x
Therefore, using Pythagoras theorem
c² = a² + b²
(7(√2))² = x² + x²
49 × 2 = 2x²
98 = 2x²
x² = 98 / 2
x = √49
x = 7 units
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Not entirely sure….some help please?
Answer:
55°
Step-by-step explanation:
The definition of an isosceles triangle is that there are two sides of equal length and one side of a different length. Because two sides have the same length, their respective angles have the same measure. For example, side BC goes with angle A; because it is the same length as side AB which goes with angle C, angles A and C are the same. Just set the angles equal to each other and begin solving an algebraic expression as shown here:
[tex]3x+40=x+50\\3x-x+40 = x-x+50\\2x+40=50\\2x+40-40=50-40\\2x=10\\\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]
Now that you know what x is equal to, plug it into angle A's equation.
[tex]3(5)+40\\15+40\\55[/tex]
Angle A is equal to 55°
Brittany deposited $3,000 in a new account at her bank.
The bank pays 6% interest compounded annually.
Brittany makes no additional deposits or withdraws.
What will be the balance of the account at the end of 3 years? (Include Decimal with the cents; No Commas)
The total amount accrued, principal plus interest, with compound interest on a principal of $3,000.00 at a rate of 6% per year compounded 1 times per year over 3 years is $3,573.05.
Compound InterestGiven Data
Principal = $3000Rate = 6%Time = 3 yearsA = P + I where
P (principal) = $3,000.00
I (interest) = $573.05
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(3)
A = 3,000.00(1 + 0.06)^(3)
A = $3,573.05
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PLEASE HELP AS SOON AS EVER I NOYL HAVE 5 MINS WILL GIVE BRAINLY!
Answer: E
Step-by-step explanation:
Side triangles; 6.
(3x4/2=6)
There are 2 triangles.
Back of triangle thing is 24.
Top area is 40.
Bottom area is 32.
12+24+40+32
Answer is 108.
I THINK that is the correct answer. I am so so sorry if it isn't.
Answer:
E- 108 in squared. Hope this helps!
Step-by-step explanation:
Linear relationships are important to understand because they are common in the world around you. For example, all rates and ratios are linear relationships. Miles per gallon is a common rate used to describe the number of miles a car can travel on one gallon of gasoline. Dollars per gallon, or the price of gas, is a linear relationship as well. What other relationships can you think of that are linear? How do they affect your everyday life?
Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.
Other examples of linear relationships?
Two examples of linear relationships that are useful are:
Changes of units:
These ones are used to change between units that measure the same thing. For example, between kilometers and meters.
We know that:
1km = 1000m
So if we have a distance in kilometers x, the distance in meters y is given by:
y = 1000*x
This is a linear relationship.
Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:
y = a*x
This is a linear relationship.
So linear relationships appear a lot in our life, and is really important to learn how to work with them.
If you want to learn more about linear relationships, you can read:
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If the radius of a circle is x cm. what is the length of it's circumferences?
Answer:
44/7x
Step-by-step explanation:
circumference of circle= 2πr
=2×22/7×x
=44/7x
Candice is putting together a business outfit. There are 6 pairs of pants and 2 dress shirts to choose from. How many different outfits can Candice put together?
The graphs of the functions (f) and (g) are shown where..
[tex]f(x) = 4.5 \sqrt{x} [/tex]
[tex]g(x) = \frac{1}{9} {x}^{2} [/tex]
Select the TWO closest approximations for solutions to the equations f(x) - g(x) = 0
A.x=0
B.x=5.0
C.x=11.7
D.x=13.5
E.x=20.0
Answer:
[tex]\red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}} \\ \red{ \rule{10pt}{999999pt}} \pink{ \rule{10pt}{999999pt}} \blue{ \rule{10pt}{999999pt}} \purple{ \rule{10pt}{999999pt}}[/tex]
\orange{ \rule{100pt}{999999pt}} < /p > < p > [tex]at < /p > < p > at</p><p>[tex]at</p><p>
Step-by-step explanation:
f(x) - g(x) = 0
f(x) = g(x)
4.5√x = ⅑ x²
4.5 × 9 = x√x
40.5 = x√x
square it on both side
1640.25= x².x
1640.25 =x³
x=11.7
650ft2 divided by 2/3
Answer:
I'm 100% sure the answer is 4.24
Step-by-step explanation:
please mark as BRAINLIEST
Simplify −4(x+1)+6x . Write your answer in factored form.
Answer:
2(x - 2)
Step-by-step explanation:
- 4(x + 1) + 6x ← distribute parenthesis by - 4
= - 4x - 4 + 6x ← collect like terms
= 2x - 4 ← factor out 2 from each term
= 2(x - 2)
=================================================
Let's simplify this expression.
The first step is to use the distributive property, which states:-
[tex]\bigstar{\boxed{a(b+c)}[/tex]
Simplify:-
[tex]\bigstar{\boxed{-4(x+1)}[/tex]
[tex]\longmapsto\sf{-4x-4}[/tex]
Add 6x:-
[tex]\longmapsto\sf{-4x+6x-4}[/tex]
Combine Like Terms:-
[tex]\longmapsto\sf{2x-4}[/tex]
Now, we should write our answer in factored form, so we factor 2 out:-
[tex]\longmapsto\sf{2(x-2)}[/tex]
=============================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles. How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
The way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
Since the considered composite figure consists of a semicircle, trapezoid, and 2 rectangles, so we can find its area by their use.
Thus, the way we can decompose the composite figure to determine its area is given by: Option D: as a semicircle, a trapezoid, and two rectangles.
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Answer:
d
Step-by-step explanation:
i just finished the test
The surface areas of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
SA= 576 in^2
SA= 1024 in^2
V= 2240 in^3
Answer:
945 in²
Step-by-step explanation:
The scale factor of two figures is k.
The scale factor of their surface areas is k².
The scale factor of their volumes is k³.
1024 in² / 576 in² = 16/9 = k²
k = √(16/9) = 4/3
k³ = (4/3)³
k³ = 64/27
2240 in³ × 27/64 = 945 in²
10. Which expression is equivalent to 4
(4-3)*(4042)* ?
பமccee
A.
4-4
В.
4 3
C
413
D.
4 14
Answer:
C Because the evolution of wasted numbers is incorrect
Let m and n be two positive integers greater than 1 . If
[tex] \displaystyle\sf \lim_{a\to 0 }\bigg\lgroup \dfrac{e^{\cos(a^n)}-e}{a^m}\bigg\rgroup =-\bigg\lgroup \dfrac{e}{2}\bigg\rgroup [/tex]
Then the value of [tex]\dfrac{m}{n}[/tex] is ?
What is another way to write 3x+9y=-8 to get exactly one solution
Answer:
Step-by-step explanation:
Slope = -0.667/2.000 = -0.333
x-intercept = 8/3 = 2.66667
y-intercept = 8/9 = 0.88889
Answer:
Step-by-step explanation:
Find the missing side of a right triangle if side a=7 and side b=11.
Step-by-step explanation:
c² = a² + b²
c² = 7² + 11²
c² = 49 + 121
c² = 170
now u have to square root it
c² = 170
c = 13
A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4
Answer: a). 1/8
Step-by-step explanation:
If the coin is fair, then the odds of getting heads or tails should be equal, 12.
Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
Identify the area of the rhombus.
Answer:
A=130cm2
Step-by-step explanation:
13x10=130
STOP WITH THE LINKS! please? Help? NO LINKS!?????
Answer:
The answer is 24
just multiply 6 and 4 together