Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
The segments shown below could form a triangle.
What is the slope of the line?
Answer:
A number that describes both the direction and the steepness of the line is known as slope of the line .
Triple a number is 18.
hi
so 3X = 18
X = 18/3 = 6
can someone pls help me!! :)
Answer:
I think the answer is B
Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?
Answer:
Leo's weight at the end of the fourth week = 181.7 pounds
Step-by-step explanation:
Leo's initial weight = 190 pounds
First week = lost 4.3 pounds
New weight = 190 pounds - 4.3 pounds
= 185.7 pounds
Second week = lost 2.8 pounds
New weight = 185.7 pounds - 2.8 pounds
= 182.9 Pounds
Third week = gained 0.7 pounds
New weight = 182.9 pounds + 0.7 pounds
= 183.6 pounds
Fourth week = lost 1.9 pounds
New weight = 183.6 pounds - 1.9 pounds
= 181.7 pounds
Leo's weight at the end of the fourth week = 181.7 pounds
Alternatively
New weight = initial weight - first week - second week + third week - fourth week
= 190 - 4.3 - 2.8 + 0.7 - 1.9
= 181.7 pounds
Which set of numbers are rational numbers but not integers whole numbers or natural numbers?
The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.
Hence the third option is correct.
Use the concept of rational number defined as:
A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
It can be represented as p/q,
Where p and q are integers and q is not equal to zero.
Examples of rational numbers include 1/2, -3/4, and 5/7.
Now analysing the given options we can see that,
The numbers 1/2, 1/4 and 1/8 are rational but not an integer.
Therefore,
The set { 1/2, 1/4, 1/8} is the correct one, which is option third.
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What is the answer to P(4)=4n + 5
Answer:
P(x) = 4n+5
P(4) = 4(4)+5
P(4) = 16+5
P(4) = 21
The answer is 21.
Let me know if this helps!
a rectangular garden is 52m long and 34m broad a path 2m wide is running inside the garden calculate the cost of travelling the path at rs 40 per sq metre snd calculate the cost of covering the empty space with tires at rs 20 per sq metre
Answer:
Answer From Gauth Math
Step-by-step explanation:
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
Answer:
a7 = 55 + (7-1) 10
Step-by-step explanation:
See,
It's given that it will take 7 hours for Jiya to move.
$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.
Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.
Therefore, the correct option is:
a7 = 55 + (7-1) 10
Which inequality is represented by this graph?
10
I
(0.1) (6.0)
X
- 10
10
- 10
Answer:
C
Step-by-step explanation:
Because in graph there are boxes
And boxez are squre
And C is the answer
You Fool
Yoo Fool
the area of kitchen is 149m^2 how many tiles each of area 0.2m^2 are needed to flooring the kitchen what will be the total coast at the rate of rs 250 per tiles..
Answer:
186,250 rs
Step-by-step explanation:
So
149m is the whole space
0.2m is one tile space
250 rs = 0.2 tiles (so 250=1)
so if there is
Determine if the following conjecture is valid.
Given: If a computer sales person sells at least 15 computers in a week, then she gets a bonus. Mandy sells 12 computers in a week.
Conclusion: Mandy gets a bonus.
Answer:
Not valid
Step-by-step explanation:
Because 12 is minor than 15
The conjecture is not valid.
Mandy not gets a bonus.
Given that:
If a computer sales person sells at least 15 computers in a week, then she gets a bonus.
Maddy sells 12 computers in a week.
Conclusion: Maddy gets a bonus.
We have to check the conjecture is valid or not.
What is Conjecture?
A conjecture is a conclusion or proposition that is proffered on the tentative basis without the proof.
Now,
Here, if a person sells 15 or more computers in a week, she gets a bonus.
Maddy sells 12 computers in a week, which is less than 15.
So, Maddy did not get a bonus.
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HELPPPPPPPPP !!!!!!!!! plzzzzz
Answer:
a) its root 2
b) 2
c) 3,4,5,6 (just all x numbers)
d) inverse is just reverse of points ex: (2,1) for the first set
also what is that equation up top am i suppose to use that for something
Step-by-step explanation:
what is the measure of B?
Answer:
A. 28°
Step-by-step explanation:
Since sides AC and AB are congruent, their opposite angles are congruent.
m<B = m<C = 28°
Answer: A. 28°
Answer:
The answer is A
Step-by-step explanation:
What you have is an isosceles triangle. AC = AB <A cannot be 28 degrees so the triangle is not equilateral.
If the 2 sides are equal, the 2 angles opposite these equal sides are also equal.
<B = <C
<C = 28 degrees
<B = 28 degrees
Geometry, please answer question ASAP
the prouduct of any two irrational number is
Answer:
mostly rational but sometimes irrational
branches of chemistry
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{There is approximately 5 branches of chemistry.}\\\\\large\textsf{The branches are...}}\\\\\bullet\large\text{Analytical chemistry}\\\bullet\large\text{Biochemistry}\\\bullet\large\text{Inorganic chemistry}\\\bullet\large\text{Physical chemistry}\\\bullet\large\text{Organic chemistry}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Analytical chemistry}} is the science that prevails, communicates, and}\\\large\textsf{process the information about its arrangement of the matter.}\\\\\star\large\textsf{\ \underline{\underline{Biochemistry}} is the study of the process in the cellular \& molecular}\\\large\textsf{level}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Inorganic chemistry}} is the behavioral mood of the inorganic and the} \\\large\textsf{organometallic compounds. It is distributed with the synthesis.}\\\\\star\large\textsf{\ \underline{\underline{Physical chemistry}} is the changing and exchange of the materials.}[/tex]
[tex]\star\large\textsf{\ \underline{\underline{Organic chemistry}} is the study of the structure, property,}\\\large\textsf{(or properties) \& reactions of the organic compounds}[/tex]
[tex]\large\boxed{\frak{Good \ luck \ on \ your \ assignment \ \& \ enjoy\ your\ day!}}[/tex]
~[tex]\rm{Amphitrite1040:)}[/tex]
Prove that:
Sin^2A+Sin^2B.Cos2A=Sin^2B+Sin^2A.Cos2B
Answer:
See Below.
Step-by-step explanation:
We want to prove that:
[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Recall that double-angle identity for cosine:
[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]
Substitute cos(2A) for its third form:
[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Distribute:
[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]
Rewrite:
[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]
Factor:
[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]
Double-Angle Identity for cosine:
[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]
Hence proven.
A paper factory needs to ship an order for 4,500 sheets of yellow paper. The factory will put 50 sheets in each box. How many boxes will the paper factory need to us
Answer:
90
Step-by-step explanation:
If they put 50 sheets per box, then it is just simple division.
4,500 divided by 50 is 90.
Answer:
90 boxes
Step-by-step explanation:
They need to ship 4500 sheets of paper.
They put 50 pages in each box.
# of boxes they will need = amount of paper / amount of paper they put in each box
# of boxes they will need = 4500 / 50 = 90
Function: y= x^2 + 5x - 7
Vertex:
Solutions:
( , ) and
( , )
Answer:
Vertex is (-2.5, - 13.25) and x=(-5±sqrt(53))/2
Step-by-step explanation:
x^2+5x-7
x^2+5x+(2.5)^2-(2.5)^2-7
(x+2.5)^2-13.25. Vertex is (-2.5, - 13.25)
Solution of the functions are x=(-5±sqrt(53))/2
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
A=66
B=229.18
C=114.59
D=240
Answer:
229.18 degrees
Step-by-step explanation:
The circumference of a circle with radius r is 2×pi×r.
So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.
So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.
There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.
2/3 divided by -2 (in fraction form)
2/3 divided by -2
now,
answer= 2/3×1/2
we need to receprocal the number if we have to change division into multiplication...
= 1/3
we cut 2 as it is equal and present in both denomenator and numerator....
Answer:
-2/6
Step-by-step explanation:
HELP PLZ!! Convert 80 mph (miles per hour) to feet per second.
Answer:
117.33333 feet per second
Step-by-step explanation:
Element X is a radioactive isotope such that every 42 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 45 grams, to the nearest tenth of a
year?
Answer:
6.38548 years
Step-by-step explanation:
1 = 2 [tex]e^{42k}[/tex]
1/2 = [tex]e^{42k}[/tex]
ln(1/2) = 42k ln(e)
ln(1/2)/42 = k
k = -0.01650
~~~~~~~~~~~~~~
45 = 50 [tex]e^{-0.01650t}[/tex]
45/50 = [tex]e^{-0.01650t}[/tex]
ln(45/50) = -0.01650 t ln(e)
ln(45/50)/ -0.01650 = t
t = 6.38548 years
The number of years for the radioactive element to reach a mass of 45 grams is given by t = 6.384129 years
What is half-life of an element?The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.
Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value
The decay constant λ is = 0.693/t½
where t½ is the half-life of the element
Given data ,
Let the number of years be t
Let the initial mass of the element be a = 50 grams
The final mass of the element be ( a - x ) = 45 grams
Now , Element X is a radioactive isotope such that every 42 years, its mass decreases by half
And , half life t½ = 42 years
So , the decay constant k = 0.693/t½
k = 0.693 / ( 42 )
k = 0.0165
And , k= 2.303/t {log (a/a-x)}
So , t = 2.303 / ( 0.0165 ) log ( 50/45 )
On simplifying , we get
t = 6.384129 years
Hence , the number of years for the radioactive element to reach 45 grams is 6.384129 years
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1. Eddie ordered customized cups. He was
charged a $30 design fee plus $8 per cup. His
total order was $334. How many cups did Eddie
order?
Answer:
38 cups
Step-by-step explanation:
8c + 30 = 334
8c = 334 - 30
8c = 304
c = 304 ÷ 8
c = 38 cups
The total number of cups ordered by Eddie is 8
Design fee = $30
Cost per cup = $8
Total cost of order = $334
Let the number of cups ordered = p
The total cost of order can be represented by the equation :
Design cost + (cost per order × Number of orders)
$30 + (8p) = $334
8p = 334 - 30
8p = 304
p = 303 / 8
p = 38
Hence, the number of cups ordered is 8
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?
A. the amount of gasoline Larry uses
B. the type of car Larry drives
C. the type of roads Larry drives on
D. the amount of miles Larry drives
Answer: option A the amount of gasoline larry uses
Step-by-step explanation:
This is because a independent variable is not changed by other variables.
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Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
Answer:
ratio of Sophia's sweets to Isabel's sweets is
13:8
Answer:
you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be
42-16=26
therefore the ratio will be
16:26
8:13
I hope this helps
which letter has horizontal not vertical symmetry H, W, Y, E
I thing W,Y is righ am i right.
Who has hegarty maths as there school home work?
If you do please let me know below :):):):):):):)
Answer:
1200$
Step-by-step explanation:
All right, you usually pay 160 dollars but with the extra 25% off sale, you pay 120(160 ÷ 4 = 40, 160 - 40 = 120). BUT you have the extra VAT charge you will pay 150 dollars every day. You stay for 8 nights so 150 × 8 = 1200
mp rs 700 and sp rs 524 find discount step by step.
[tex]\boxed{\sf Discount=CP-SP}[/tex]
[tex]\\ \sf\longmapsto Discount=700-524[/tex]
[tex]\\ \sf\longmapsto Discount=176[/tex]
Answer:
cost price(cp)=rs.700
sold price(sp)=rs.524
discount =cp-sp
discount =700-524
discount =rs.176