Answer:
Step-by-step explanation:
fraction of pizza=5/2
host serves to each guest=1/5*5/2
=5/10
so no of serving that can be done with the remaining 21/2 pizza
5/10-1/5
5*1-1*2/10
5-2/10
3/10
The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x - 18^\circ}∠A=6x−18
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{14x +38^\circ}∠B=14x+38
∘
The answer is 30 :)
Answer:
∠A = 30
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
what is 4x+3(2x-4)=x
Answer:
x = 4/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4x + 3(2x - 4) = x
Step 2: Solve for x
[Distributive Property] Distribute 3: 4x + 6x - 12 = x[Addition] Combine like terms: 10x - 12 = x[Subtraction Property of Equality] Subtract x on both sides: 9x - 12 = 0[Addition Property of Equality] Add 12 on both sides: 9x = 12[Division Property of Equality] Divide 9 on both sides: x = 4/3Answer:
x = 1.33
Step-by-step explanation:
4x + 3(2x-4) = x
-4x -4x
3(2x-4) = -3x
Distribute 3 to (2x-4)
6x - 12 = -3x
-6x -6x
-12 = -9x
/-9 /-9
1.33 = x
what is the volume of the square pyramid
Answer:
3710.67 mm
Step-by-step explanation:
The formula is a^2 h/3
a = 22 h = 23
First, do 22 squared which is 484.
Now do 23 divided by 3 which is 7.666666667
Now multiply 484 and 7.666666667 together to get
3710.666667 or 3710.67 mm
Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
Learn more about continuous compounding interest here:
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Which of these decimals represents the shaded area of the grid? A) .8 x .6 = .48 B) .8 x .6 = 4.8 C) .8 x .6 = .084 D) .8 x .6 = .84
Answer:
A) .8 x.6 = .48
Step-by-step explanation:
B, C, and D are all answered incorrect
How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution
Answer:
The correct answer is "4.5 liters". A further explanation is provided below.
Step-by-step explanation:
Let the solution needed be "x".
then, according to the question,
⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]
By solving the above expression, we get
⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]
⇒ [tex]0.04 x=0.54-0.36[/tex]
⇒ [tex]0.04x=0.18[/tex]
⇒ [tex]x=\frac{0.18}{0.04}[/tex]
⇒ [tex]=4.5 \ liters[/tex]
What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49
A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.
_______ miles in one hour
Answer:
About 64 Miles
Step-by-step explanation:
I think you just divide the miles by minutes which is about 1.06 then x 60 = 64
Hi could someone solve this for me i have been stuck for an hour now XD
Answer:
The anwser is 40.82
Step-by-step explanation:
Pie times radius
Answer:
[tex] \large{ \tt{☄ \: STEP - BY- STEP \: EXPLANATION}} : [/tex]
We are provided the diameter of circle ( d ) i.e 13 cm & value of pi ( π ) i.e 3.143. We are asked to find out the circumference of the given circle ( C ).[tex] \large{ \tt{✎ \: LET'S \: START} }: [/tex]
[tex] \boxed{ \large{ \tt{❃ \: Circumference \: of \: a \: circle = \pi \: d}}}[/tex]
- Plug the given values & Multiply 3.142 by 13
[tex] \large{ \tt{↬ \: 3.142 \times 13}}[/tex]
[tex] \boxed{ \large{↬ \tt{40.846 \: cm}}}[/tex] [ Don't forget to write the units i.e cm ]
[tex] \boxed{ \boxed{ \tt{⟿ \: OUR \: FINAL \: ANSWER: \boxed{ \underline{ \tt{40.846 \: cm}}}}}}[/tex]
[tex] \large{ \tt{✺ \: STUDY \: TIPS}} : [/tex]
If you realize you've been studying for hours : Grab a snack to refuel your body and watch a sitcom to refuel your brain then back to the books! ♪♡ Hope I helped! ツ
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the ratio of colored papers to white papers is 3/8 if there are 48 white papers, how many coloured papers are there
The number of coloured papers as per the given problem is 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The ratio of coloured papers to white papers is 3/8.
And, the number of white papers is 48.
Suppose, the number of coloured papers be x.
Then, as per the question the following equation can be obtained,
3/8 = x/48
=> x = 3/8 × 48
=> x = 18
Hence, the number of coloured papers is 18.
To know more about ratio and proportion click on,
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Someone help please want
asap
Answer:
3
Step-by-step explanation:
you are dividing by 3 each time
x + (3x - 4) = 5 - (-7 - 3x)
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16Find the surface area of
the prism.
12 in.
7 in.
4 in.
The surface area is
in. 2.
Find j.
Write your answer in simplest radical form.
Answer:
Step-by-step explanation:
6g = 48
g=?
What does g=?
Answer:
8
Step-by-step explanation:
6g = 48
/6 /6
divide 6 by both sides
g = 8
hope this helped!
what is called intersection of two sets
Answer:
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).
Step-by-step explanation:
A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?
Answer:
-2
Step-by-step explanation:
Well since this line is parallel to y=3x-5 they must have the same slope
We are just solving for the y-intercept
We have a point (2,4) lets plug it into
y=3x+ b
4 = 3(2) +b
4= 6 +b
-2 = b
The value of b is -2
Answer:
B-value = -2
Step-by-step explanation:
In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.
Hope this helps!
Here is the diagram:
Consider this quadratic equation.
2x^2-1 = 3x+4
Which equation correctly applies the quadratic formula?
Answer:
D
Step-by-step explanation:
A and C are the same and each should be divided by 2(2)
B should be 4(2)(-5)
2. Write the following in order from least
to greatest:
0.7, 0.84, 4/5, 82%, 71/100
Answer:
0.7, 71/100, 4/5, 82%, 0.84
This is kind of far fetched but does anyone have an idea of how to find elevation using cos tan and sin ?
Answer:
Step-by-step explanation:
Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?
solve M2 + 6m = -8 using quadratic formula??
Answer:
m=-4,-2
Step-by-step explanation:
Hi there!
What we need to know:
The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] where the equation is given in standard formStandard form quadratic equation: [tex]y=ax^2+bx+c[/tex] (with y=0)1) Rearrange the given equation into standard form
This will help us determine the a, b and c values.
[tex]m^2+6m=-8[/tex]
Add 8 to both sides
[tex]m^2+6m+8=0[/tex]
Now, we can see that a=1, b=6 and c=8.
2) Plug a, b and c into the quadratic formula
[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]
I hope this helps!
square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)
Answer:
you have to tell us the question honey
Maria wants to plant a tulip garden in her backyard. She can plant
10 rows of tulips with 9 tulips in each row.
How many tulips can Maria plant in all?
On a certain hot summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that day?
Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Answer:
227 children and 109 adults
Step-by-step explanation:
227*1.5+109*2.5=613
227+109=336
Stanley attempted to simplify the expression below.
−4●(2.5x−1.25)−3x
His work, step by step, is shown below.
Step 1: −4●{(2.5x+(−1.25)}−3x
Step 2:−10x+(−5)−3x
Step 3:−10x−3x+(−5)
Step 4: −13x−5
In which step did he make his first error simplifying the expression?
Would a piece of wood with a mass of 25 grams and a volume of 27.3^3 float in water?
Answer:
yes because the density of water is 997kg/M3 which is greater than the wood of 508•660425kg/M3 as it's density
here density = mass *volume
d=0•025*20346•417
d=508•660425kg/M3
here mass is changed in kg and volume is assumed as m^3 because of absence of unit of volume
Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.
The exact value of cot A will be 0.857.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.
Then the value of angle A will be
csc A = √85 / 6
1 / cos A = √85 / 6
cos A = 6 / √85
A = 49.4°
Then the exact value of cot A will be
cot A = cot 49.4°
cot A = 0.857
The exact value of cot A will be 0.857.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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help me plsss :( math
The two diagonal lines cross at the center point so each section of the lines are identical:
3x + 3 = 4x -4
Add 4 to both sides:
3x + 7 = 4x
Subtract 3x from both sides:
X = 7
The answer is x = 7
Answer:
x = 7
Step-by-step explanation:
KU = UM
as the center of a rectangle bisects the diagonal
3x + 3 = 4x - 4
7 = x
x = 7
please explain so I can understand
Answer:
well im pretty sure its ( 1,1,3)
Step-by-step explanation:
21-1-2
Can someone help me out, I will give out brainly.
Answer:
370
Step-by-step explanation:
Area of the entire thing is 20*20 = 400
You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)
Area of triangle:
First find the height using pythagorean theorem
5*12 = 156
Then divide by two: 60/2= 30
400-30 = 370