6 2/3 times 12 simplest form
Answer:
80
Step-by-step explanation:
[tex]6\frac{2}{3} *12[/tex]
First, write the fractions as improper fractions.
[tex]\sf\frac{20}{3} *\frac{12}{1}[/tex]
Multiply.
[tex]\sf\frac{240}{3}[/tex]
Divide.
80
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6\dfrac{2}{3}\times 12}[/tex]
[tex]\mathsf{= \dfrac{6\times3+2}{3}\times\dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{18 + 2}{3} \times\dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{20}{3} \times\dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{20\times12}{3\times1}}[/tex]
[tex]\mathsf{= \dfrac{240}{3}}[/tex]
[tex]\mathsf{= 240\div 3}[/tex]
[tex]\mathsf{= 80}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{80}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
PLEASE HELP ASAP!!!!!
Answer:
Axis of Symmetry = -4
Vertex = (-4,7)
Step-by-step explanation:
IM GIVING GOOD REVIEWS! EASY MATH!
Answer:
40,000
Step-by-step explanation:
can I have branliest
Answer: 40,000
Step-by-step explanation: Well it doubles every 440 minutes. Since it is asking for the size after 880 minutes, and the starting size is 20,000 just double 20,000 because 440 times 2 equals 880.
Help please,I’ll give 20points (if I can)
On solving the provided question, we can say that - here in the given equation we got x- 1 = 0; x = 1, y = 2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
y = 2x +1
y = 3x - 1
x- 1 = 0
x = 1, y = 2
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Can a/the variable in a algebraic expression be a base?
Answer:
yes
Step-by-step explanation:
yes
yes
yes
yes
yeyed
yes
jake ran 2 kilometers to train for an upcoming marathon.
how many meters did jake run ?
Answer:
2000
Step-by-step explanation:
1 kilometer is = 1000 meters
give brainliest pls
vanessa will sell yogurt for $2.50 a cup fill in the table to show how much money Vanessa will make if she sells 19 cups of vanilla yogurt
answer: 47.5 cups
Step-by-step explanation:
2.50 x 19 = answer
What are the factors of this quadratic function?
A. (x - 1) and (x - 5)
B. (x + 1) and (x + 5)
C. (x - 1) and (x+5)
D. (x + 1) and (x - 5)
A cylindrical potato chip container has a diameter of 3.5 inches and a height of 12 inches. What is the volume of the chip container? Use 3.14 for pi. Round your answer to the nearest hundredth.
57.73 in3
115.40 in3
350.65 in3
461.81 in3
Answer:
V = 38.47 in^3
Step-by-step explanation:
The container base radius is half the diameter, that is, 1.75 in, and the height is 12 in. The formula for the volume of a cylinder of radius r and height h is V = (1/3)(pi)(r)^2h, which in this particular case comes out to:
V = (1/3)(3.14)(1.75 in)^2*(12 in), or
V = 38.47 in^3
Answer:
115.40 in3
that is the correct answer to this question.
Hello. Please answer!
What is the surface are of the triangular prism?
Answer:
114.12
Step-by-step explanation:
Tree+snowman+tree=17
Answer:
tree = 8
snowman = 1
deer = 4
snowflake = 4
Step-by-step explanation:
say t = tree, s = snowman, d = deer, f = snowflake
1. For 2d + f, since you know d is equal to f, replace the snowflake with a deer, turning the equation into 3d = 12. To find the value of d divide by 3 on both sides. This will result in 4. So, the value of deer = 4.
2. Now, find the value of the snowman using the value of the deer.
4-3 = 1. This means the value of the snowman = 1.
3. Plug in the value of the snowman into 2t + s = 17.
2t + 1 = 17
Subtract on both sides to get 2t by itself and then simplify
2t = 17 -1 --> 2t = 16
Divide by 2 on both sides to find the value of the tree
2t/2 = 16/2 --> t = 8
What is the range of this function?
(-9, 10) (19, 18) (0,7) (20,3)
Find mRT. Assume that segments that appear to be tangent are tangent.
Answer:
m(arc RT) = 148°
Step-by-step explanation:
From the picture attached,
Segment RT is a chord and segment RS is a tangent of a circle O meeting at R.
By the property of tangent chord angle,
"Angle formed by an intersecting tangent and chord measures half of the intercepted minor arc"
m(∠SRT) = [tex]\frac{1}{2}(\text{minor arc RT})[/tex]
[tex]74^0=\frac{1}{2}m(RT)[/tex]
[tex]m(\text{arc RT)}=2(74^0)[/tex]
[tex]=148^0[/tex]
Therefore, measure of minor arc RT is 148°.
I Forgot How To Do This For Some Reason
Answer:
A
Step-by-step explanation:
√11²+13² is the answer due to pythagoras theorem. You imagine the line between them is the hypotenuse for the right angled triangle so it’s A as 121 plus 169 is 290
nter (A,B,C,D)in order below if $A$, $B$, $C$, and $D$ are the coefficients of the partial fractions expansion of $$12\cdot\frac{x^3 4}{(x^2-1)(x^2 3x 2)}
The partial fraction expansion of (x³ + 4)/ ((x² - 1)(x² + 3x + 2)) is -3/ 4(x + 1) + 5/12(x - 1) + 4/3(x + 2) - 3/ 2(x + 1)². So the coefficients A = -3/4, B = 5/ 12, C = 4/3 and D = -3/2.
A partial fraction expansion is a way of expressing a rational function (a function that can be written as the ratio of two polynomials) as the sum of simpler fractions, each with a numerator that is a constant or a simple polynomial. The process of finding the partial fraction expansion of a rational function is also known as partial fraction decomposition.
The denominator is
(x² - 1)(x² + 3x + 2) = (x² - 1)(x² + x + 2x + 2)
(x² - 1)(x² + 3x + 2) = (x + 1)(x - 1)(x + 1)(x + 2)
So by partial fraction expansion
(x³ + 4)/ ((x² - 1)(x² + 3x + 2)) = (x³ + 4)/ ((x + 1)(x - 1)(x + 1)(x + 2))
(x³ + 4)/ ((x + 1)(x - 1)(x + 1)(x + 2)) = A/ (x + 1) + B/(x - 1) + C/(x + 2) + D/ (x + 1)²
A(x - 1)(x + 1)(x + 2) + B(x + 1)²(x + 2) + C(x + 1)²(x - 1) + D(x - 1)(x + 2) = x³ + 4
(A + B + C)x³ + (2A + 4B + C + D)x² + (-A + 5B - C + D)x + (-2A + 2B - C - 2D) = x³ + 4
Thus from coefficients of x³, x², x and 1,
A + B + C = 1
2A + 4B + C + D = 0
-A + 5B - C + D = 0
-2A + 2B - C - 2D = 4
Solving
A = -3/4, B = 5/ 12, C = 4/3 and D = -3/2
--The question is not clear, the question is given below--
"Enter (A,B,C,D) in order below if A, B, C, and D are the coefficients of the partial fractions expansion of
[tex]$$12\cdot\frac{x^3 + 4}{(x^2-1)(x^2 +3x+ 2)}[/tex] "
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At a coffee shop, the first 100
customers' orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered a
hot drink given that he or she ordered a large?
P( Hot Large ) = [?]
Round to the nearest hundredth
Answer:
0.07
Step-by-step explanation:
lets make a chart first
small | medium | large
hot | 5 | 48 | 22
cold | 8 | 1 | 5
1. add all the hot drinks
5+48+22=75
2. find 5/75,
5/75=0.0666666
Lee can type 300 words in 6 minutes what is his rate per minute
Answer:
300 words in 6 minutes
300/6 words in 1 minutes
50 words in 1 minutes
Therefore,Lee can type 50 words in 1 minute.
answer correct and u get brainliest if u are able to answer this u r a math god
Answer:
184ft^2
Step-by-step explanation:
W have to find the area of triangles and rectangles and add them together to get the total area of the figure:
Area of triangles = 1/2(b)(h)
Area of rectangles = l x w
6 x 10 = 60
1/2(6)(4) = 12 (We can make this 12 a 24 because there are two of these triangles)
5 x 10 = 50 (We can also make this 50 a 100 because there are two of these rectangles)
100 + 24 + 60 = 184ft^2
Solve. -3 + 9x = 24 (quick)
Answer: x = 3
Step-by-step explanation:
-3 +9x = 24
9x= 24+3
9x=27
9x/9= 27/9
x=3
Answer:
x = 3
Step-by-step explanation:
-3 + 9x = 24
rearrange:
9x - 3 = 24
Add 3 to both sides of the equation:
9x - 3 + 3 = 24 + 3
9x = 27
Divide both sides by 9:
9x/9 = 27/9
x = 3
Have a nice day!
Point lies on the diagonal of square with . Let and be the circumcenters of triangles and respectively. Given that and , then , where and are positive integers. Find .
Point P lies on the diagonal AC of square ABCD with AP > CP. Let [tex]$O_1$[/tex] and [tex]$O_2$[/tex] be the circumcenters of [tex]$\triangle \mathrm{ABP}$[/tex] and [tex]$\triangle \mathrm{CDP}$[/tex] respectively. Given that AB = 12 and [tex]$\angle \mathrm{O}_1 \mathrm{PO}_2=120^{\circ}$[/tex], then [tex]$\mathrm{AP}=\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}$[/tex],
where a and b are positive integers.
The value of a + b is 96.
Let mid-point of DC be E and mid-point of AB be F.
Since [tex]$\mathrm{O}_1$[/tex] and [tex]$\mathrm{O}_2$[/tex] are circumcenters, therefore both lie on the perpendicular bisectors of DC and AB passing through E and F.
Now, [tex]$\mathrm{O}_1 \mathrm{P}=\mathrm{O}_1 \mathrm{~B}$[/tex] and [tex]$\mathrm{O}_2 \mathrm{P}=\mathrm{O}_2 \mathrm{D}$[/tex]
Also [tex]$\angle \mathrm{CAB}=\angle \mathrm{ACD}=45^{\circ}$[/tex]
Therefore [tex]\angle \mathrm{BO}_1 \mathrm{P}=2 \times 45^{\circ}=90^{\circ}=\angle \mathrm{DO}_2 \mathrm{P}$[/tex]
Angle subtended by an arc of a circle at its center = 2 × the angle subtended at its circumference
Therefore [tex]\angle \mathrm{O}_1 \mathrm{~PB}$[/tex] and [tex]$\angle \mathrm{O}_2 \mathrm{PD}$[/tex] are isosceles right triangles.
Using the above information and symmetry,
[tex]$\angle \mathrm{DPB}=120^{\circ}$[/tex]
Also, [tex]$\triangle[/tex]ABP is congruent to [tex]$\triangle[/tex]ADP (SAS)
and [tex]$\triangle[/tex]CPB is congruent to [tex]$\triangle[/tex]CPD (SAS)
Therefore [tex]\angle \mathrm{APB}=\angle \mathrm{APD}=60^{\circ}[/tex]
And [tex]\angle \mathrm{CPB}=\angle \mathrm{CPD}=120^{\circ}[/tex]
Now, [tex]$\angle \mathrm{ABP}=(180-60-45)^{\circ}=75^{\circ}$[/tex]
[tex]\Rightarrow \angle \mathrm{O}_1 \mathrm{BF}=30^{\circ}[/tex]
And [tex]$\angle \mathrm{PDC}=(180-120-45)^{\circ}=15^{\circ}$[/tex]
[tex]\Rightarrow \angle \mathrm{O}_2 \mathrm{DE}=30^{\circ}[/tex]
Therefore [tex]\triangle \mathrm{O}_1 \mathrm{BF}$[/tex] and [tex]$\triangle \mathrm{O}_2 \mathrm{DE}$[/tex] are right angled triangles.
BF = DE = [tex]\frac{12}{2}[/tex] = 6
[tex]\Rightarrow O_1 B=O_2 D=4 \sqrt{3}[/tex]
And PB = PD = [tex]\frac{4 \sqrt{3}}{\cos 45^{\circ}}=4 \sqrt{6}[/tex]
Now, Let x = AP
Using law of cosine on [tex]$\triangle[/tex]ABP, we have
[tex]& 96=x^2+144-24 x \times \frac{1}{\sqrt{2}} \\[/tex]
[tex]& \Rightarrow x^2-12 \sqrt{2} x+48=0 \\[/tex]
[tex]& \Rightarrow x=\sqrt{72} \pm \sqrt{24}[/tex]
Taking the positive root, AP = [tex]\sqrt{72}+\sqrt{24}$[/tex]
Therefore a + b = 72 + 24 = 96
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Point P lies on the diagonal AC of square ABCD with AP > CP. Let [tex]$O_1$[/tex] and [tex]$O_2$[/tex] be the circumcenters of [tex]$\triangle \mathrm{ABP}$[/tex] and [tex]$\triangle \mathrm{CDP}$[/tex] respectively. Given that AB = 12 and [tex]$\angle \mathrm{O}_1 \mathrm{PO}_2=120^{\circ}$[/tex], then [tex]$\mathrm{AP}=\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}$[/tex], where a and b are positive integers. Find a + b. (correct answer +5, wrong answer 0 )
heyy! i’ll give brainliest please help
Answer:
a season your welcome: ]
Answer:
Seasons shouldn't be capitalized
ANSWER BOTH!!!!
A. In a recent year, 22% of all college students were enrolled part-time. If 7.8 million college students were enrolled part-time that year, what was the total number of college students?
Round your answer to the nearest million.
B. Last year, Mai opened an investment account with $6200. At the end of the year, the amount in the account had increased by 24.5%. How much is this increase in dollars? How much money was in her account at the end of last year?
Increase in amount:$
Year-end amount:$
Answer:
A. 35 million
B. $1519 increase
$7719 year end
Step-by-step explanation:
PLEASE NEED HELP ASAP
Answer:
its 80ft
Step-by-step explanation:
David went shopping for a new phone because of a sale. The price on the tag was $46, but David paid $39. 10 before tax. Find the percent discount
The percent discount on the new phone is 15%.
Discount refers to a reduction in the original price of a product or service. It is a way for businesses to incentivize customers to purchase their products by offering a lower price than the original price.
To find the percent discount, we need to divide the amount of the discount by the original price, and then multiply by 100 to express the answer as a percentage.
Discount = Original Price - Sale Price
Discount = $46 - $39.10
Discount = $6.90
Percent Discount = (Discount / Original Price) x 100
Percent Discount = ($6.90 / $46) x 100
Percent Discount = 15%
Therefore, the percent discount is 15%.
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WHAT IS 10000-22 CAN ANYONE HELP
Answer:
9978
Step-by-step explanation:
10000 - 22 = 9978
9978 is the answer
Answer: 9978
Step-by-step explanation:
Stack the numbers up like this 10000
22
borrow from the one make the zero a ten, and then borrow from that to make the next one and make it a nine and then do it to the last one and subtract. Hope this makes sense
The measures of the three sides of a triangle are 21 feet, 28 feet, and 35
feet. Determine whether the triangle is a right triangle.
Answer:
yes
Step-by-step explanation:
according to pythagoras theorem = hypotenuse² = √ base²+perpendicular²
so 21² + 28² = 35²
Find the midpoint of A and B where A has coordinates (2,3) and B has coordinates (8,9)
Step-by-step explanation:
[tex]midpoint = ( \frac{(2 + 8)}{2} , \frac{(3 + 9)}{2} ) \\ = (5,6)[/tex]
Answer:
√(x2-x1)²+(y2-y1)²
√(8-2)²+(9-3)²
√6²+6²
√36+36
√72
8.48528137424≈8.5
Step-by-step explanation:
Solve this problem
Step by step
The measure of the missing length of the trapezoid is equal to 3√39 units.
How to determine the missing length of a trapezoid
Trapezoids are quadrilaterals with only one pair of congruent sides and two pairs of congruent angles. The relationship between the longest and shortest legs (D, d) in a trapezoid is defined below:
D = d + 2 · c
Where c is the length of the horizontal leg of the right triangle in a trapezoid.
And the missing leg can be found by means of Pythagorean theorem:
x = √(r² - c²)
Where:
r - Hypotenusec - Shortest legx - Longest legFirst, determine the length of shortest leg: (D = 40, d = 26)
40 = 26 + 2 · c
14 = 2 · c
c = 7
Second, find the longest leg by Pythagorean theorem:
x = √(20² - 7²)
x = 3√39
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PLEASE HELP ME ILL BRAINLIEST YOU
Answer:
7
Step-by-step explanation:
a^2 + b^ = c^2
x^2 + 24^2 = 26^2
x^2 = 100
x=10
Can i have brainliest please
Answer:
x = 10
Step-by-step explanation:
This is a right triangle problem
use the Pythagorean Theorem
a^2 + b^2 = c^2
x^2 + 24^2 = 26^2
x^2 + 576 = 676
Subtract 576 from both sides
x^2 = 100
Take the square root of both sides
x = 10