==============================================================
Work Shown:
x = side length = 1 unit
SA = surface area of cube
SA = 6x^2
SA = 6*1^2
SA = 6*1
SA = 6
The surface area of the cube is 6 square units.
-------------------------
Side note:
In general, each face is x*x = x^2 units in area, and there are 6 of those faces. This is why the general surface area is 6x^2. In this case, each face is 1 square unit, so all 6 faces lead to a total of 6 square units.
Mason is building a counter for his uncle. It is going to be 19 1/2 meters long, 8 3/4 meters wide, and 2 meters high. What is the volume of the counter?
Answer:
Volume of the counter = Length × Width × Height
= 19 1/2 × 8 3/4 × 2
= 341 1/4 cubic metres
What are the values of T and U?
Answer:
u+133°=180
u=180-133
u=47°
Answer:
U = 47
T = 86
Step-by-step explanation:
133 + U = 180 ( straight line)
or, U = 180 - 133
or, U = 47
Being isosceles triangle
47 + 47 +T = 180
or, 94 + T = 180
or, T = 180 - 94
or, T = 86
hope it will help you
How do I simplify 6x+4x-10(2)
Answer:
10x-20 uhhh yeah that's the answer
Task 10: It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate:
How many pounds of mashed potatoes can they make with 15 pounds of potatoes?
Answer:
The answer is 22.5 lbs or 22 and a half lbs of mashed potatoes.
Step-by-step explanation:
The ratio of potatoes is 1.5.
10 lbs potatoes * 1.5 = 15 lbs mashed
So 15 lbs potatoes * 1.5 is: 22.5 lbs mashed potatoes.
Systems of equations by substitution
Answer:
(-2,1)
Step-by-step explanation:
Substitute the value of y (x+3) from one equation into the second equation (2x+5)
X+3 = 2x + 5
add -2x to both sides
-x+3=5
add -3 to both sides
-x=2
x=-2
substitute -2 for x in either equation to find y.
y=-2+3
y=1
Check your answer by substituting x and y into either equat to make sure it equals.
y=x+3
1=-2+3
1=1
or
y=2x+5
1=2(-2)+5
1=-4+5
1=1
A goalie make 12 saves in 3 games. What is the rate of saves per game?
Answer:
Step-by-step explanation:
No of saves in 3 games = 12
Rate of saves per game = 12 ÷ 3 = 4
Determine Whether 5c/15c^2 +7d is a polynomial. If it is a polynomial, state the degree of the polynomial
What is the missing value in the proportion 4/5 = x/30?
A.) 6
B.) 24
C.) 37.5
D.) 29
Answer:
[tex]\displaystyle x = 24[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4}{5} = \frac{x}{30}[/tex]
Step 2: Solve for x
[Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle 5x = 120[/tex][Division Property of Equality] Divide 5 on both sides: [tex]\displaystyle x = 24[/tex]A survey was conducted to see how many phone calls people made daily. The results are displayed in the table below:
From the given frequency table,
Frequency represents the number of people who made the calls.
Total number of people who made the calls = 16 + 11 + 5 + 3 + 1
= 36
Number of people who made less than 13 calls = 16 + 11 + 5
= 32
Number of people who made at least 9 calls = 5 + 3 + 1
= 9
Percentage of people who made at least 9 calls = [tex]\frac{\text{Number of people who made at least 9 calls}}{\text{Number of people who made the calls}}\times 100[/tex]
= [tex]\frac{9}{36}\times 100[/tex]
= 25%
Difference in the number of people who made the calls between 5-8 calls than 13-16 calls = 11 - 3 = 8
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A 10% increase followed by another 10% increase is not the same as a total increase of
20%.
What is the total percentage increase?
Answer:
21%
Step-by-step explanation:
Another 10% increased means it becomes 110*110/100 = 121. The first 10% increase means the second 10% increase will be an actual 11% increase from the original, so it will be a total of 21%.
Answer:
21%Step-by-step explanation:
Because the first 10% increase is calculated as 10% of what you started with. The second 10% is 10% of what you started with plus 10% of the increase caused by the original 10% increase.
Let's do the maths…
Let's start with 100 to make things easy.
We know that 10% of 100 is 10.
We know that 20% of 100 is 20.
So if we increase 100 by 10% we get 110.
If we increase 100 by 20% we get 120.
Now lets do the 10% plus 10%.
From the first 10% increase we were left with 110.
Now if we take 10% of the 110 we have 11.
Add that to the 110 and we get 121.
This is why people are surprised how quick a lone can rise if we don't pay it off. We are paying interest on the basic sum plus interest on the interest, then interest on the interest on the interest.
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
PLEASE HELP!!!!!!!!Drag the number cards to create a correct sentence
The sequence that fulfills all the conditions is 4% of 250 = 10.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From the table and a bit of thinking, we can construct a sequence that has whole value and percentage value as integers.
After trying with different sequences and by hit and trial we found a sequence that is,
4% of 250 = 10 which fills all the conditions.
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12x-4y=24 solve for y
GIVING BRAINLIEST please answer: Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 12.3 ft. long and 6.9 ft. wide. Carter's bedroom is 10.4 ft. long and 8.2 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your process for figuring out the area of the floor for each bedroom and determining your answer.
Answer:
Carter's bedroom
Step-by-step explanation:
Carley's bedroom :12.3 x 6.9 = 84.87 sq feet
Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet
Answer:
Step-by-step explanation:
Carley's bedroom :12.3 x 6.9 = 84.87 sq feet
Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet
PLEASE HELP WITH SEVEN AND EIGHT!!!
"Bisect" means cuts in half perfectly. In other words, 66° = 3x. calculate and you get x=22°
y+10 = 56
y= 56-10
y= 46°
Barry has 1/3 of bag a candy left over from his party. Of this candy, 1/3 of it is chocolate. How much of the total bag is chocolate?
Answer:
1/6
Step-by-step explanation:
if there is 1/3 bag of candy, 1/3 of 1/3 is 1/9
Answer:
its 1/9
Step-by-step explanation:
One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5 There are 36 male teachers at the school. Work out the total number of teachers at the school.
Answer:
90 total teachers
Step-by-step explanation:
The total number of teachers at the school is 90 whereas there are 36 female and 54 male teachers.
Probability-based problem:What information do we have?
Probability teacher is female = 3/5
Number of male teachers = 36
Probability teacher is male = 1 - (3/5)
Probability teacher is male = 2/5
Total number of teacher = (5/2)(36) Total number of teacher = (5)(18)Total number of teacher = 90 teachers
the total number of teachers in the school is 90 teachers.
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0.9d-2.1f
Helpp!!❗‼️
Step-by-step explanation:
0.9(17) -2.7(3) =
15.3-8.1
=7.2
Order the value of the quotient from the smallest (top) to largest (bottom)
2/7 divided by 4/5
1 6/7 divided by 3
6/11 divided by 2 2/3
3/10 divided by 1/8
Answer:
6/11 divided by 2 2/3 (=9/44)
2/7 divided by 4/5 (=5/14 or 15/42 scaled up)
1 6/7 divided by 3 (= 13/21 or 26/42 scaled up)
3/10 divided by 1/8 (=2 2/5)
Step-by-step explanation:
You cannot divide a fraction by a fraction. Instead, multiply by the reciprocal ( flip it)
2/7 divided by 4/5= 2/7 x 5/4
Multiply straight across the top, 2x5= 10
10 is the numerator
Now multiply straight across the bottom.
7x4= 28
28 is the denominator.
10/28 is the answer to this problem, however it can be simplified. Both 10 and 28 are divisible by 2. This simplifies to 5/14.
For mixed numbers, you first have to make them improper fractions.
Ex: 2 2/3
Take the denominator (3) multiply it by the whole number (2) and add the numerator (2)
3x2=6 (now add the remaining 2 from the numerator) 6+2= 8. 8 is your new numerator and you will keep the existing denominator of 3 making the improper fraction 8/3.
42+24n
The factored form is
The expression 42+24n in factor form is 6(7+4n).
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 42+24n
Forty two plus twenty four n.
We need to factor out the expression.
TO do this we have to find the greatest common factor of 42 and 24
The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42
The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
The common factors are 1,2,3, and 6.
The greatest common factor is 6.
S0 the expression in factor form is 6(7+4n)
Hence, the expression 42+24n in factor form is 6(7+4n).
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In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?
Answer:
Step-by-step explanation:
Answe is 0.74
Answer:
cosL=adjacenthypotenuse=817≈0.4706≈0.47cosL=hypotenuseadjacent=178≈0.4706≈0.47
Step-by-step explanation:
KLM15817(opposite of ∠L)(adj. to ∠L)(hypotenuse)Find cosLFind cosLSOH CAH TOASOH CAH TOA
This is my last question if you understand this please answer my question.
Answer:
3. reflective property
4.AE=CE
5.<AED=<CED 5.SSS congruence
HELP ASAP ASPA HELP HELP
Answer:
proportional READ BELOW
Step-by-step explanation:
so its going by multiplying by 8's bc of the -10
so i think it is
id k tho havent done negatives
please dont sue me if im wrong
A diameter is a chord.
True or false and why?
Answer:
true.
A chord that passes through the center of a circle is called a diameter and is the longest chord.
Step-by-step explanation:
A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.
i hope this helps you. :)
How many t-shirts could be made where the cost would be the same from both companies?
Please help
How can you describe the graph of the equation y = mx? Explain
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
hope this helps.
:)
PLEASE HELP ILL GIVE 25 POINTS FOR IT
Write an indirect proof that a right triangle has exactly two acute angles
what is the diameter of a pond with a area of 4069.44
Answer:
72
Step-by-step explanation:
Formula: A= 3.14r^2
4069.44^2 = 3.14r^2
(divide both sides by 3.14)
1296=r^2
(find sqr root of 1296)
36=r
to find the diameter with the radius, multiply radius by 2... 36*2= 72
The diameter of a pond with an area of 4069.44^2 is 72!
Hope this helps anyone :)
1. Francis was biking up the hill in the image to the right. The hill made a 45° angle with the
ground. How high off of the ground was Francis when he reached the top of the hill?
find the radian measure of a central angle of a circle with the radius of 13 feet that intercepts an arc of length 26 feet
Answer:
0.64π rad
Step-by-step explanation:
The formula for calculating the length of an arc is expressed as;
length of an arc = theta/360 * 2πr
r is the radius = 13 feet
arc length = 26feet
Substitute
26 = theta/360 * 2(3.14)(13)
26 = 81.64 theta/360
81.64 theta = 26 * 360
81.64 theta = 9360
theta = 9360/81.64
theta = 114.64
Hence the radian measure is 114.64/180 π = 0.64π rad
The amount of money, y, pizzeria K makes by selling x pizzas can be modeled by the equation y = 13x. The relationship of the amount of money pizzeria L makes is shown in the following graph. Which pizzeria makes more money per pizza?
Answer:
Step-by-step explanation:
Complete Question:
The amount of money, y, pizzeria W makes by selling x pizzas can be modeled by the equation y = 15x. The relationship of the amount of money pizzeria L makes is shown in the following graph.
Which pizzeria makes more money per pizza?
A. Pizzeria L makes more money per pizza.
B. Pizzeria W makes more money per pizza.
C. They make the same amount per pizza.
Answer:
B. Pizzeria W makes more money per pizza.
Step-by-step explanation:
The proportional relationship showing how amount of money made(y) is related to the amount of pizzas sold (x) for pizzeria W is given by the equation y = 15x.
the constant of proportionality/unit rate, k = 15.
This represents the amount in dollars, made per pizza.
So, Pizzeria W makes $15 per pizza.
For Pizzeria L, using any point on the line, say, (2, 24),
k = y/x = 24/2 = 12.
This represents the unit rate, which is the amount Pizzeria L makes per pizza.
Thus, Pizzeria L makes $12 per pizza.
We can conclude that, Pizzeria W makes more money per pizza.
Answer:
L
Step-by-step explanation: