Answer: 27
Step-by-step explanation:
Use PEMDAS (Parenthesis,Exponents,Multiplication,Division,Addition,Subtraction)
to solve this problem. First multiply 5 times 4 to get 20. Then divide 14 by 2 to get 7. Lastly, add those two answers to get 27 as the final answer.
Find the quotient.
7/8 ÷ 2 1/4
WILL GIVE 30 POINTS
Step-by-step explanation:
Hello there!
This is how we solve this problem
7/8 ÷ 2 1/4
[tex] \frac{7}{8} \div 2 \frac{1}{4} \: conveting \: to \: improper \: faction\\ \\ = \frac{7}{8} \div \frac{9}{4} \\ = \frac{7}{8} \times \frac{4}{9} \: multiply \: through \\ = \frac{7}{18} [/tex]
= 7/18
I hope this helps.
Have a nice studies.
Please help
Solve for r.
-8
= 4
T+6
=
Answer:
-8
Step-by-step explanation:
Solving for r means that we need to isolate r from the expression.
[tex] \frac{ - 8}{r + 6} = 4[/tex]
Multiply both sides by (r +6) to 'get rid' of the fraction:
-8= 4(r +6)
Expand:
-8= 4r +4(6)
-8= 4r +24
Minus 24 on both sides:
4r= -8 -24
4r= -32
Divide both sides by 4:
r= -32 ÷4
r= -8
Additional:
For a similar question on solving for a variable:
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r = -8
Step-by-step explanation:
-8/(r + 6) = 4
-8 = 4(r + 6)
-8 = 4r + 24
-32 = 4r
-8 = r
Name the polygon shape in the picture below.
Answer:
There are eight sides so it's an octagon
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairs.
Match the cube roots and square roots with their values.
Drag the tiles to the boxes to form correct pairs.
Match the cube roots and square roots with their values.
Match the cube roots and square roots with their values.
Match the cube roots and square roots with their values.
Match the cube roots and square roots with their values.
The match up are:
√4 = 2∛27 = 3√64 = 8∛64 = 4√49 = 7∛1000 = 10What is square root?The square root, in mathematics is known to be the factor of a number that, is said to be multiplied only by itself and thus it gives the original number.
For example:
[tex]\sqrt{4}[/tex] will give you 2.
Therefore, The match up are:
√4 = 2∛27 = 3√64 = 8∛64 = 4√49 = 7∛1000 = 10Learn more about cube roots from
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The weight of 1 cm³ of
water is exactly I g.
A small desk top fish
tank is pictured below.
How much does the
water in the tank weigh
in kilograms?
HELP
Answer:
10,800 kilograms
Step-by-step explanation:
(24 x 30) x 15 = 10,800
or (24 x 15) x 30
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Note: Enter only the simplified result.
Answer: 1
Step-by-step explanation:
First, we will translate this into an algebraic expression.
-> Quotient means we will be using divison
-> Product means we will be using multiplciation
the quotient of 12 and the product of 3 and 4
[tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]
[tex]\displaystyle \frac{12}{3*4}[/tex]
Now, I will simplify.
Given:
[tex]\displaystyle \frac{12}{3*4}[/tex]
Multiply:
[tex]\displaystyle \frac{12}{12}[/tex]
Divide:
1
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what are the soltuions to the quadratic equation below? 12x squared + 4x -5=0
Answer: 0.5 or - 0.834
Step-by-step explanation: Here is the explanation!
Find each square root after supplying:
Answer:
1) 5
2) 0.8
3) -1.3
4) -[tex]\frac{4}{9}[/tex]
5) ±10
6) ±[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
Explain how the modern double-slit experiment showed different results than Young’s double-slit experiment.
Modern:
Where there are two open slits, the resulting pattern will simply be the sum of the two single-slit patterns (two vertical lines). But again and again, the experiment demonstrated that the coherent beams of light were interfering, creating a pattern of bright and dark bands on the screen.
Young's
In the end, the double slit experiment discovered that electrons, and all quantum particles, both exist as particles and probability waves. Quantum particles existing as probability waves means that we don't know for certain where these particles are, we can only know the probability of where they will be.
A halloween bowl contains four snicker bars, five hershey bars, three milkway bars, and one twix bar. What is the probability that a snicker bar will be pulled out the bowl?
Answer:
1/3
Step-by-step explanation:
The total # of bars = 12. (4+5+3)
4 of those, are snickers
4/12 (Target / Total)
1/3 (simplified)
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
find the solution set. 4x^2+x=3
Answer:
[tex]x=\frac{3}{4},\:x=-1[/tex]
Keys:
For this problem, you need the quadratic formula(listed below).
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]1^a=1[/tex][tex]\sqrt[n]{a}^n=a[/tex]When you see ± in a quadratic equation, you must know there is going to be at least 2 solutions.
Step-by-step explanation:
solving for x₁ and x₂
[tex]4x^2+x=3\\4x^2+x-3=3-3\\4x^2+x-3=0\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot 4\left(-3\right)}}{2\cdot 4}\\[/tex]
[tex]1^2=1\\=\sqrt{1-4\cdot \:4\left(-3\right)}\\=\sqrt{1+4\cdot \:4\cdot \:3}\\=\sqrt{1+48}\\=\sqrt{49}\\=\sqrt{7^2}\\\sqrt{7^2}=7\\=7[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:4}\\x_1=\frac{-1+7}{2\cdot \:4},\:x_2=\frac{-1-7}{2\cdot \:4}\\[/tex]
solve for x₁
[tex]\frac{-1+7}{2\cdot \:4}[/tex]
[tex]=\frac{6}{2\cdot \:4}[/tex]
[tex]=\frac{6}{8}[/tex]
[tex]= \frac{6\div2}{8\div2}[/tex]
[tex]=\frac{3}{4}[/tex]
solve for x₂
[tex]\frac{-1-7}{2\cdot \:4}[/tex]
[tex]=\frac{-8}{2\cdot \:4}[/tex]
[tex]=\frac{-8}{8}[/tex]
[tex]=-\frac{8}{8}[/tex]
[tex]=-1[/tex]
Hope this helps!
Find x. Round your answer to the nearest tenth of a degree.
36
X
19
+
Answer: 36.9
Step-by-step explanation:
Can someone help me? I’ll give brainliest to whoever gets it right first
Answer:
108°
Step-by-step explanation:
From the diagram,
Angle X + Angle CXD = 180°
Angle X + 72° = 180°
Angle X = 180° - 72° = 108°
The radius of a semicircle is 3 kilometres. What is the semicircle's perimeter?
Answer:
In terms of Pi: [tex]3\pi + 6[/tex] km
Exact value (rounded): 15.42477 km
Approximated (3.14): 15.42 km
Step-by-step explanation:
Hello!
A semicircle's perimeter can be found using the formula: [tex]P = \pi r + 2r[/tex]
We can plug in the values to solve for the perimeter.
Solve[tex]P = \pi r + 2r[/tex][tex]P = \pi(3)+ 2(3)[/tex][tex]P = 3\pi + 6[/tex]In terms of Pi, it is [tex]3\pi + 6[/tex],
Exact value of Pi, it is 15.42477
Approximation of Pi (3.14), it is = 15.42
Find the surface area of the prism. 8 4 14
Answer:
4 8 1 4 0,683 the (783)-213=509
solve 2(r+6) =(6+1/3r)
Answer:
r = - 18/5
I hope this helps! ^^
( This problem has 13 steps, so it would take a lot of time to type them in ^^)
x − y = 12
x + 2y = 21
Answer: x=15, y=3
Step-by-step explanation:
Subtracting the two equations, we get -3y=-9, meaning y=3.
Substituting this into the first equation, we get that x-3=12, and thus, x=15.
Each student in Ms. Garai's class is either a junior or a senior. Ms. Garai has 30 students in her class, 24 of whom are juniors. Recently, she took some of the students from her class on a field trip. Of the 24 juniors in the class, 2/3 went on the trip.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."
(a) How many seniors are in the class?
(b) How many seniors from the class went on the field trip?
(c) How many juniors from the class went on the field trip?
Seniors in the class = total number of students - total number of juniors
30 - 24 = 6
Juniors that went on the field trip = 2/3 x 24 = 16 students
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-3+8x-5=-8 solve for x
The value of this equation is x = 0
The representation of an equation of the first degree - is given by:
[tex] \boxed{ \large \sf ax + b = 0}[/tex]
This representation is also defined in a first degree function.
— To solve this expression, let's: add or subtract the real terms. Then we will do the division.
⚘ Resolution
[tex] \large \sf{-3+8x-5=-8}[/tex]
[tex] \large \sf{-8+8x=-8}[/tex]
[tex] \large \sf{8x=0}[/tex]
[tex] \large \sf{x=0 \div 8}[/tex]
[tex] \green{ \boxed{ \boxed{ \blue{ \large \sf{x=0}}}}} \\ [/tex]
Therefore, the value of this equation will be x = 0
What is 60/50 as a percentage?
Answer: Heyaa! :))
60/50 as a percentage is.. 120%
Step-by-step explanation:
Solution and how to convert 60 / 50 into a percentage 1.2 times 100 = 120.Hopefully this helps you! ~
Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C.
What is the measure of arc BEC in circle D?
134°
150°
209°
210°
Answer: 134°
Step-by-step explanation:
Since angle ABC is equal to 75, we know that the arc in front of it (arc AC) is 150. We then start to add all the know arc angle measures together. So, our equation to finding arc BEC 360-150+76= BEC arc.
Answer:
134
Step-by-step explanation:
cause yeah
what is .3% written as a decimal
Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003
What are decimal numbers?
Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%
This can be expressed as;
0.3% = 0.3/100
Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003
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Cynthia beach wants to buy a rug for a room that is 22 ft wide and 31 ft long.she wants to leave a uniform strip of floor around the rug.she can afford to buy 580 square feet of carpeting.what dimensions should the rug have?
The dimensions the rug should have is 20 by 29
How to determine the dimension?The dimension of the rug is given as:
22 ft by 31 ft
The area of the carpet is given as:
Area = 580
Represent the length of the empty space with x.
So, the dimension of the carpet is:
22 - 2x by 31 - 2x
The area is calculated as:
Area = (22 - 2x) * (31 - 2x)
Expand
Area = 682 - 62x - 44x + 4x^2
Evaluate the difference
Area = 682 -106x + 4x^2
Substitute Area = 580
682 -106x + 4x^2 = 580
Subtract 580 from both sides
102 -106x + 4x^2 = 0
Rewrite as:
4x^2 - 106x +102 = 0
Using a graphing calculator, we have:
x = 1 and x = 22.5
Substitute these values in 22 - 2x by 31 - 2x
So, we have:
Length = 22 - 2(1) = 20 or Length = 22 - 2(22.5) = -23
Width = 31 - 2(1) = 29 or Length = 31 - 2(22.5) = -14
The dimensions cannot be negative.
So, we have:
Length = 20 and Width = 29
Hence, the dimensions the rug should have is 20 by 29
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Evaluate the following for the given values. 7xy - y + x - 1 for x = -2 and y = -1
The value of the expression 7xy-y+x-1, when x = -2 and y = -1 is 12.
What is evaluation?
To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.
To evaluate the given mathematical expression, we substitute the values of the unknown into the expression.
Expression = 7xy-y+x-1If, x = -2, y = -1Substitute these values into the expression
Therefore,
7(-2)(-1)-(-1)+(-2)-1Applying BODMAS,
14+1-2-112.Hence, the evaluation of 7xy-y+x-1 is 12
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write down simplest ratio of 125ml and 5ml
Answer:
25 : 1
Step-by-step explanation:
125 : 5. divide by 5 we get
25 : 1
What is the classification for this polynomial?
x²y + 3x³
Click on the correct answer.
monomial
binomial
trinomial
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Trinomial
[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]
We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.
In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).
[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]
How much will a sum of ¥4000 amount to in 1 1/2 yrs at 10% per annum compound interest,interest being paid half-yearly
Answer:
¥4630.50
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = 4000r = 10% = 0.1n = 2t = 1.5Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=4000\left(1+\dfrac{0.1}{2}\right)^{2 \times 1.5}[/tex]
[tex]\implies \sf A=4000\left(1.05\right)^{3}[/tex]
[tex]\implies \sf A=4630.50[/tex]
Answer:
¥4630.50
Step-by-step explanation:
Here,
P = ¥4000n = 1 1/2 = 3/2 yearsr = 10% per annumATQ, as well,the interest is payable in half-yearly.
We know that,
[By this formula,it could easily solved][tex] \boxed{\rm \: A = P \bigg(1+ \cfrac{ \cfrac{r}{2} }{100} \bigg) {}^{2n} }[/tex]
Substitute the values
[tex]A = 4000 \bigg(1 + \cfrac{5}{100} \bigg) {}^{2 \times \frac{3}{2} } [/tex]
Now solve.
[tex]A = 4000 * (21/20)^3[/tex]
[tex] \implies \: A = 4000 \times \cfrac{21}{20} \times \cfrac{21}{20} \times \cfrac{21}{20} = \cfrac{21 \times 21 \times 21}{2} [/tex]
[tex] \implies \: A = \: \yen \: 4630.50[/tex]
Hence,the sum of ¥ 4000 will be amounted to ¥4630.50 in 1 1/2 years.
[tex] \rule{225pt}{2pt}[/tex]
This question arises:Why we used that formula?
Reason:
The compound interest is calculated half-yearly, the formula changes a little.In this case for r we write r/2 and for n we write 2n because a rate of r% per annum is r/2% half-yearly and n years = 2n half year So this is the reason.
Select the correct answer. Given the following formula, solve for y. w=x-y/2 -z
Given the following formula, w=x-y/2 -z. The value of y is y = x - 2w + wz .
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
Given the following formula,
w=x-y/2 -z
We need to solve for y.
[tex]w = \dfrac{x-y}{2 -z}[/tex]
By cross multiplication
[tex]w\times (2 -z)= {x-y}\\\\2w - wz = x - y[/tex]
subtract x both side
2w - wz -x = x - y -x
y = x - 2w + wz
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George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day.
If they worked on the garden today, the number of days until they work on the same day again would be.
The pie chart below illustrates the future plans of 200members of St.Thomas graduating class.
a)How many graduates are planning to continue studying?
b)What is the measurement of the angle representing those who plan to work?
Answer:
a) approximately 133 graduatesb) approximately 120°Step-by-step explanation:
a) the number of graduates planning to continue studying :
= (37 1/2% + 12 1/2% + 16 2/3%) × 200
[tex]=\frac{\left( 37\frac{1}{2} +12\frac{1}{2} +16\frac{2}{3} \right) }{100} \times200[/tex]
= (37.5 + 12.5 + 16.666666666667)×2
= 133.333333333334
…………………………………
b) the measurement of the angle representing those who plan to work :
= (360× 33 1/2)÷100
= (360× 33.333333333333)÷100
=119.999999999999