The value of the numbers given will be:
1. 108
2. 1618
How to calculate the values?1. The expression given will be calculated as:
= 97.83 - 4.378 + 5.92
= 98 + 4 + 6
= 108
2. 1,342.8+ 85.32 + 173.54 + 16
= 1343 + 85 + 174 + 16
= 1618
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30 pointys!!!!!
Please tell me the answer, 30 points avaliable,
Answer:
10.97 mm
Step-by-step explanation:
Hello!
First, let's construct an altitude, as shown in the picture below. An altitude is a height from one point to another side, forming a 90° angle at that intersection.
The length of the altitude is the same as the missing length, they are both parallel.
The length from the altitude to the slant line would be 6, as found by subtracting 8 from 14.
If you look closely, we can see a right triangle, and 12.5 mm is the hypotenuse. We know the measure for another side, and we can solve for the altitude using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], a and b are legs, and c is the hypotenuse.
In this case, 6 and the altitude are legs.
Solve for the Altitude[tex]a^2 + b^2 = c^2[/tex][tex]A^2 + 6^2 = 12.5^2[/tex][tex]A^2 + 36 = 156.25[/tex][tex]A^2 = 120.25[/tex][tex]A = \sqrt{120.25}[/tex][tex]A \approx 10.97[/tex]The altitude is around 10.97, so the missing length will also be 10.97 mm.
There are green grapes and black grapes in the ratio 3:4 if there are 24 green grapes how many black grapes are there?
suppose that there are seven committees with each pair of committees having a common member and each person being on two committees. how many people are there?
Minimum number of meeting required is 5 meetings required
As mentioned, if there is an edge between two committees, both the committee has atleast one member in common.
So if we consider two committees with atleast one member in common, i.e. we select two different vertices with an edge in between, the common member(s) in the committee can discuss and exchange ideas between the committees and thus they don't require a meeting to be scheduled.
So looking at the graph we can say that we only need to schedule meetings between committee with no edge connecting them.
6C2 - |E| or 15 - 10
= 5 meetings
What is the role of the committees?Committees keep an eye on ongoing government activities, spot problems that warrant legislative scrutiny, collect and assess data, and suggest courses of action to the Senate.
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in an election for class president,jason received 170 of the 250 votes . what percent of the vote did he receive
Answer: 68%
Step-by-step explanation:
170/250=
17/25=
0.68=
0.68 * 1=
0.68 * 100%=68%
In the diagram, PQRS is a square. (a) Show that triangles PQU, QRV, RSW and SPT are congruent. (b) Show that TUVW is a square.
Answer:
(a)=∆PQU,∆QRV,∆RSW and ∆SPT are congruent.
Step-by-step explanation:
PQRS is square (given)
PQ=QR=RS=PS
The number of people in a movie theater. Identify the set of numbers that best describes the situation. Explain your choice.
find the distance of a speed of 15m/s for 5 minutes
15m/s * 1km/1000m*60s/1 min*60 min/1hr=
You do the calculation.
Here are the conversions used in the conversion.
1km = 1000 m, 60 seconds = 1 minute, 60 minutes = 1 hour.
When you set up the problem the 15 meters is in the numerator and 1 second is in the denominator. To convert the 15 meters to km the next conversion factor needs to have 1km in the numerator and 1000 meters in the denominator. Now the 15 m will be divided by 1000 m which cancels the meters and leaves km.
The seconds in 15 m/s is in the denominator so to convert seconds to hours multiply by 60 seconds placing it in the numerator over 1 minutes. Use the same idea to set up the conversion from minutes to hours.
Practice this conversion. It is a fundamental conversion that any middle school student should know how to do.
Easy math question n
Answer: [tex]|x| \leq 5[/tex] (the last option)
Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.
THIS IS EASY?? OH HELL NO-
David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes.
The unit rate in minutes per meter is 28.8 minutes per meter when David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes
The given Depth of the aquarium = 3/8 meters
Time taken to fill the aquarium = 3 3/5 minutes
To find the the unit rate in minutes per meter, we need to divide the time taken to fill the aquarium by the depth of the aquarium
So, Unit rate in minutes per meter = 3 3/5minutes ÷ 3/8 meters
= 18/5 ÷ 3/8
= 18/5 ×8/3
= 144/15
= 28.8 minutes per meter
Hence, the unit rate in minutes per meter is 28.8 minutes per meter when David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes
The correct question is David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes. What is the unit rate in minutes per meter?
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What number must be added to both the numerator and the denominator of the fraction 2/3 to get the fraction 7/8?
Answer:
Step-by-step explanation:
Answer is 5
2 + 5 = 7
3 + 5 8
Please Help! <3 ASAP
i don't understand T.T
Answer:
3.2 miles
Step-by-step explanation:
Yesterday: 2.35 miles
Today: 2.45 miles
Total of today and yesterday: 2.35 miles + 2.45 miles = 4.8 miles
Goal: 8 miles
Number of miles left to do:
8 miles - 4.8 miles = 3.2 miles
Answer: 3.2 miles
Please help math 100 points! Decimal Rounding
Answer:
a: 0.5 + 0.3 = 0.8
b: 2.7 + 28.2 = 30.9
c: 3.1 + 2.4 + 9.9 = 15.4
d: 15.2 + 1.4 + 0.8 = 17.4
e: 39.2 + 2.5 + 0.8 = 42.5
Step-by-step explanation:
I did the assignment and I got it right
washer and a dryer cost $618 combined. the washer costs $82 less than the dryer. what is the cost of the dryer?
Answer:
$227 = washing machine cost
$391 = dryer cost
Step-by-step explanation:
$618 divided by 2 = 309
309 - 82 = 227 = cost of washing machine
618 - 227 = 391 = cost of dryer
You can double-check by,
391 + 227
= 618
$227 = washing machine cost
$391 = dryer cost
What is the value of 5x2 + x if x = 4?
404
84
44
24
Answer:
44
Step-by-step explanation:
(5)(4)(2) + 4 Calculate the product
40 + 4 Add
= 44
Answer: its 44 :D
have a great day young boy
logp(5) = x, logp(7) =y
Write logp([5p^2]/49) in terms of x and y
The expression is x+2-2y
It is given to us that logp5=x and logp7=y
Now we are required to find logp(5p^2)/49 in terms of x and y
we know that in logarithmic formulas
loga^b=b loga
logab = log a+log b
log a/b= log a- log b
Now using these formulas to find the solution,
logp 5p^2/49
= logp5+ logp p^2 -log 49
=logp5+2 logpp-2log7
we know that logpp=1,hence
= logp5+2 -2 logp7
=x+2-2y
Hence the expression is x+2-2y
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PLS HELP
4.8kg=_______mg
3.2kg=_______dg
mg=milligarm
dg=decigram
Answer: 4,800,000 mg
32,000 dg
Step-by-step explanation:
1 kg=1000 g
1 g=1000 mg
1 kg * 1000 g/1 kg * 1000 mg/1 g=
1*1000*1000=1,000,000 mg
1 kg=1,000,000 mg
4.8 kg=
4.8*1000000=4,800,000 mg
1 g=10 dg
3.2 kg =
3.2 kg * 1000 g/1 kg * 10 dg/1 g=
3.2*1000*10=
3.2*10,000=32,000 dg
calculate the value of the expressions а) 12^9\2^15•3^7 б) ((5^8/7) ^7/4-(2^-2) ^-3/32) •(46) ^-1
Answer:
Step-by-step explanation:
0
a candy bar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters. a triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm. part a: what is the height of the base? show your work.
The height of the box is 12cm, having volume = 1200cm ³ .
What is the volume of triangular prism?A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.
The formula yields the volume of a triangular prism.
Volume of triangular prism = 1/2lwh
Where,
w = width
h = height
l = length.
We may determine the height by filling in the specified measurements.
1200cm ³ = 1/2 × (20 cm) × (10 cm) × h
h = (1200 cm³) / (100 cm²))
h = 12 cm
The box has a 12 centimeter height.
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If 9 (x-9) = -11, then x =?
O-92/9
O-20/9
O-11/9
O-2/9
O70/9
Answer:
◉ 70/9
Step-by-step explanation:
9(x - 9) = -11
9x - 81 = -11
9x = 70
x = 70/9
Complete the sentence.
4ft= ____ in.
4ft = 48in or 4 feet is equivalent to 48 inches.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
The sentence states an equality between units of length: feet and inches.
From there, we can say that we are asked how many inches are there in 4 feet
Converting feet to inches, we must use the conversion
1 foot = 12 inches
4ft = 4 (12 inches)
4ft = 48in
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Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent. round to the leading digit to determine approximately how many countries edna has visited.
Edna has visited 44 countries.
For given question,
Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent.
Here each continent has 11 countries.
She visited 4 different continents.
So, the total number of countries she has visited would be given by an expression,
11 × 4
We solve above expression to determine how many countries Edna has visited.
11 × 4 = 44
Therefore, approximately 44 countries Edna has visited.
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as estimate √200 to the nearest who le numbers
Answer:
10√2
or in decimal form:
14.1
Hope this helps! <3
Really need help on this problem
Solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].
How to Solve an Equation?Given the equation, s = zr - 6zc^4, to solve the equation for z, follow the steps below:
We have to isolate the variable "z" to one side of the equation if we are to solve the equation for z.
s = zr - 6zc^4
Factor out variable z
s = z(r - 6c^4)
Divide both sides of the equation by (r - 6c^4)
s/(r - 6c^4) = z(r - 6c^4) / (r - 6c^4)
s/(r - 6c^4) = z
[tex]z = \frac{s}{r - 6c^4}[/tex]
Therefore, solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].
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Which description matches the graph of the inequality y > x + 4?
The graph of the inequality y > x + 4 matches the description in Option(c)
a shaded region above a dashed boundary line.
How to graph Linear Inequalities?A linear inequality is similar to a linear equation, but instead of a =, it will have an inequality sign like >,<, or ≤,≥.Place "y" on the left and the remaining variables on the right in the equation.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>).Shade above the line in the graph for a "greater than" (y> or y≥)or below the line in the graph for a "less than" (y< or y≤).Given function: y > x + 4
Let's plot the graph of the given function and then match it with the options to see which is the solution.
So we will Plot y = x + 4 (as a dashed line because y > )
the coordinates will be,
x = 0 , y = 4
x = -1 , y = 3
x = -2 , y = 2
x = 1 , y = 5
x = 2 , y = 6
The purple shaded region satisfies the inequality y > x + 4.
Hence the graph description is a shaded region above a dashed boundary line.
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The complete question is: "Which description matches the graph of the inequality y > x + 4?
a) a shaded region above a solid boundary line
b) a shaded region below a solid boundary line
c) a shaded region above a dashed boundary line
d) a shaded region below a dashed boundary line."
1/3 of x is 14 plsss helppp
Answer:
42
Step-by-step explanation:
1/3 * x = 14
x/3=14
3*x/3=14*3
x=42
What is the prime factorization 18 and 24
Answer:
(2 × 3 × 3) and (2 × 2 × 2 × 3).
Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?
In the given statement is :
Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?
In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.
Survivorship Curve:
The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.
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The temperature at 5 p.m. is 20 degrees. the temperature at 10 p.m. is -5 degrees
how do you find the domain and range of a continuous graph???
Answer:
So, when talking about continuous functions, we're dealing with a function/graph that goes on and on to infinity. It never ends. In a case like this, we must define domain and range. Domain is all input values, while range goes the same but it's the output values. With this information, the domain and range on a continues graph would most likely be all real numbers due to the fact of the graph never ending, and that means the graph would have every input value thus making its domain/range infinite as well.
➲ Hope this helps.
help please!!!!!!!!!!!!!!!!!!!!!
Answer:
1/8
Step-by-step explanation:
5/4 divided by 10/1 is the same as
5/4 times 1/10
5/4 * 1/10 = 5/40 = 1/8
Answer: 1/8
Step-by-step explanation:
[tex]\displaystyle\\\frac{\frac{5}{4} }{10} =\\\\\frac{5}{4}:10=\\\\\frac{5}{4} *\frac{1}{10}=\\\\ \frac{5*1}{4*10}=\\\\\frac{5}{4*5*2} =\\\\\frac{1}{4*2}=\\\\\frac{1}{8}[/tex]