Answer:
[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]
We must express the mixed fraction into an improper fraction:
[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]
Since 80 = 16*5 and 20=4*5
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]
Adding the fractions:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]
[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]
A zoo has the ratio to zebras (1 giraffe for every 4 zebras) What percent of this grouping of animals are giraffes? What percent of this grouping are zebras?
Answer:
20% of the animals are giraffes
80% of the animals are zebras
=====================================
Explanation:
Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.
The percentage of giraffes is 1/5 = 0.20 = 20%
and the percentage of zebras is 4/5 = 0.80 = 80%
The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What are percentages?the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%
Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
Learn more about percentages here:
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what is the slope of the graph of y=12x-19
Answer:
The slope is 12
Step-by-step explanation:
Remember the slope formula y=mx+b
m= the slope
b= y-intercept
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
The drama club has $4000 to spend on their winter performance. They have already
spent $1500 on the set, and programs cost $1.75 each.
Thetinequality 1500 + 1.75x<=4000 can be used to determine the number
of programs, x, that can be ordered. Which statement about the number of
programs that can be ordered is true?
The drama club can purchase at least 1.428 programs
The drama club can purchase at most 1.428 programs
The drama club can purchase 1,429 programs
The drama club can purchase 4000 programs
Answer:
The drama club can purchase 1429 programs
Step-by-step explanation:
Jordan is knitting a sweater. He keeps track of how many balls of green and yellow yarn he uses in the table below.
If he uses 15 balls of yellow yarn, how many balls of green yarn will he need?
Answer:
the answer is B i think ..............
Solve the equation sin^2x=3Cos^2X.
I would love to graduate...so thanks in advance!
Answer:
240°
Step-by-step explanation:
[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]
What is the 30th term of the linear sequence below?
−5,−7,−9,−11,−13
,
Please help! Solve for g
Answer:
g= - 32
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Flip the equation.
Step 3: Add 5 to both sides.
Step 4: Multiply both sides by 4/(-1).
g=−32
Answer:
g = -32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3 = g/-4 - 5
Step 2: Solve for g
Add 5 to both sides: 8 = g/-4Multiply -4 on both sides: -32 = gRewrite: g = -32Step 3: Check
Plug in g into the original equation to verify it's a solution.
Substitute in g: 3 = -32/-4 - 5Divide: 3 = 8 - 5Subtract: 3 = 3Here we see that 3 does indeed equal 3.
∴ g = -32 is the solution to the equation.
Un agricultor tiene una finca de una hectárea la mitad le dedica a cultivar tomates los 2/5 lo dedica a lechugas y el resto cebollas. A qué fracción dedicará cebollas. B qué superficie dedica a cada cultivo.
The given area of the farm, A_0=1 hectare.
The fraction of the farm for cultivating tomatoes = 1/2
The fraction of the farm for cultivating lettuce = 2/5
The remaining fraction of farm for onion = 1-(1/2+2/5)=1/10
Therefore, the fraction of farm dedicated to onion is 1/10.
Now, the area dedicated to tomatoes = 1/2 of the area of land.
=1/2 x 1 = 1/2 hectare.
The area dedicated to lettuce = 2/5 of the area of land.
=2/5 x 1 = 2/5 hectare.
The area dedicated to onion = 1/10 of the area of land.
=1/10 x 1 = 1/10 hectare.
HELP PLEASE 100 points IM BEING TIMED ILL EVEN GIVE A CROWN THING
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?
A.) 90 degree rotation about point 0 composition reflection across the x-axis
B.) Reflection across the x-axis composition 90 degree rotation about point 0
C.) 180 degree rotation about point 0 composition reflection across the x-axis
D.) Reflection across the x-axis composition 180 degree rotation about point 0
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The guy above me was correct. I got a 99% on my test.
if L is parallel to M, find the value of each variable(s)
Answer:
see below
Step-by-step explanation:
5. 9x + 2 = 119° alternate interior angles are congruent
9x = 117
x = 13°
6. 12x - 8 + 104° = 180° same side interior angles are supplementary
12x + 96 = 180
12x = 84
x = 7°
7. 5x + 7 = 8x - 71 alternate exterior angles are congruent
-3x = -78
x = 26°
8. 4x - 7 = 7x - 61 corresponding angles are congruent
-3x = -54
x = 18°
9. 9x + 25 = 13x - 19 corresponding angles are congruent
-4x = -44
x = 11°
13x - 19 + 17y + 5 = 180° straight line adds up to 180°
13(11) - 19 + 17y + 5 = 180
143 - 19 + 17y + 5 = 180
17y + 129 = 180
17y = 51
y = 3°
10. 6x - 7 + 3x - 29 = 180° same side interior angles are supplementary
9x - 36 = 180
9x = 216
x = 24°
6x - 7 = 8y + 17 vertical angles are congruent
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
137 = 8y + 17
120 = 8y
y = 15°
11. 49 + 3x = 7x - 23 corresponding angles are congruent
-4x = -72
x = 18°
3x = 11y - 1 corresponding angles are congruent
3(18) = 11y - 1
54 = 11y - 1
55 = 11y
y = 5°
12. 5x - 38 = 3x - 4 alternate interior angles are congruent
2x = 34
x = 17°
7y - 20 + 5x - 38 + 90 = 180° sum of triangle interior angle equals 180
7y - 20 + 5(17) - 38 + 90 = 180°
7y - 20 + 85 - 38 + 90 = 180°
7y + 117 = 180
7y = 63
y = 9°
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
Samuel orders four DVD's from an online music store. Each DVD costs $9.99. He has a 20% discount code and sales tax is 6.75%. What is the total cost of his order? Please helpppp
pls help me answer this
Answer:
The answer for the question is "C. 180"
Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0.
Answer:
1/6
Step-by-step explanation:
sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6
How many five card hands can
be dealt from a standard deck of
52 cards?
Answer:
2
Step-by-step explanation:
What is 135 less than the product of 57 and 219?
Answer: something in the negatives
Step-by-step explanation:
A scale on a blueprint drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blueprint represents an actual distance of 27 meters?
Answer:
Step-by-step explanation:
what is the answer to this?
Answer:
[tex] < 1 = 48[/tex]
Step-by-step explanation:
[tex] < 1 + 132 = 180[/tex]
[tex] < 1 = 180 - 132[/tex]
[tex] < 1 = 48[/tex]
because it's a straight angle(180)
What is the slope of the line that passes through the points (4, -6) and (4, 6)?
Answer:
no slope
Step-by-step explanation:
m= y2-y1/x2-x1
m= 6-(-6)/4-4
m=12/0
m= no slope
A simple off bacteria is debating according to the half life model. If the simple begins with 800 bacteria, and after 18 minutes there is 240 bacteria, after how many minutes will there be 40 remaining
Answer:
After 43 minutes, the bacteria will be 40 remainings.
Step-by-step explanation:
Given that:
Initial population of bacteria [tex]A_o[/tex] = 800
After time (t) = 18 mins
A = 240
Using the model:
[tex]A = A_o e^{k*t}[/tex]
[tex]240=800 e^{k*18}[/tex]
[tex]\dfrac{240}{800}= e^{18k}[/tex]
[tex]0.3= e^{18k}[/tex]
By applying natural log on both sides, we get:
In(0,3) = 18k (In e)
- 1.20397 = 18 k * (1)
18 k = -1.20397
k = -1.20397/ 18
k = - 0.06688
k ≅ -0.07
After time (t), the bacteria population (A) = 40
Now;
[tex]40 = 800 e^{k*t}[/tex]
[tex]\dfrac{40 }{800}= e^{-0.07*t}[/tex]
[tex]0.05= e^{-0.07*t}[/tex]
In (0.05) = -0.07t * In (e)
- 2.9957 = - 0.07t
t = - 2.9957/ -0.07
t = 42.795
t ≅ 43 minutes
Thus, after 43 minutes, the bacteria will be 40 remainings.
Which function has the same range f(x) =-5/7 (3/5)^x? Hurry !!!
answer is
B). g(x) = -5/7 (3/7)^-x
Answer: b
g(x) = -5/7 (3/7)^-x
Step-by-step explanation: have a great day :)
Plz help This is a very important thing I have to do and it depends 50% of my grade so please help...!
Answer:
A.B
Step-by-step explanation:
5 - sqrt1.35 = ~3.8
A) 3 / sqrt2 = ~2.1
B) 5 / sqrt3 = ~2.9
C) 3 + 2sqrt2 = ~5.8
D) 4 + 8/sqrt50 = ~5.1
What is 5 + 5 + 5 + 5 + 5 (5 x 4) Easy question so you can get points! Explain and get brainliest!
A) 45
B) 120
C) 100
D) 25
Answer:
A) 45
Step-by-step explanation:
BECAUSE 5 + 5 + 5 + 5 + 5 = 25
and 5 x 4 = 20
So, 25 + 20
= 45
Isosceles triangle MNis shown below with MN ~= PN. Ray NQ bisects angle MNP and intersects side MP at point Q. Name three pairs of congruent angles
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are obtuse, scalene, equilateral, isosceles etc.
An isosceles triangle is a triangle with two equal sides, the base angles of an isosceles triangle is equal.
Since ΔMNP is an isosceles triangle with MN = PN, then:
∠QMN = ∠QPN (base angles of an isosceles triangle are equal)
∠MNQ = ∠PNQ (NQ bisects ∠MNP producing two equal angles)
∠MQN = ∠PQN (right angles)
What is that "break even" cost? *
Answer:
$61
Step-by-step explanation:
When each company sells 6 shirts, they have $48 (CS) and $45 (TT). When you add their shipping prices, they both have $61.
2-1/3x=1/6x+1
x=?
Merry Christmas
Answer:
x=2
Step-by-step explanation:
Thanks sweetheart <3
What is the slope of 2,10 and 4,20 please answer rn
Answer:
2/10?
Step-by-step explanation:
plz help me with this homework i have
please help, im desperate
Answer:
i think 124...is the answer