Answer:
A. Multiply 3x−3y=1 by 2, and multiply −2x+4y=2 by 3.
Step-by-step explanation:
Given
[tex]3x - 3y = 1[/tex]
[tex]-2x+ 4y = 2[/tex]
Required
A good first step
A good first step is to eliminate x and this is done as follows:
Multiply [tex]3x - 3y = 1[/tex] by 2 (gotten from coefficient of x in the second equation)
Multiply [tex]-2x+ 4y = 2[/tex] by 3 (gotten from coefficient of x in the first equation)
This gives:
[tex]6x - 6y = 2[/tex]
[tex]-6x + 12y = 6[/tex]
Add both equations
[tex]6x - 6x - 6y + 12y = 2 + 6[/tex]
[tex]6y = 8[/tex]
[tex]y = \frac{4}{3}[/tex]
Hence (a), is true
Answer for brainliest
Answer:
b
Step-by-step explanation:
Answer:
Y = 2x. it is given
now , 2x + 2y = 30
now putting y = 2x ,. in ( 2x + 2y) = 30
hence ,.2x + 4x = 30
6x = 30
x= 5
now ,y= 2x
y = 10
The first second and fourth terms of a proportion are 6, 18 and 25 respectively. Find
its third term.
Answer:
The third term is 25/3
Explanation:
According to the given proportion,
→ First term : second term : : third term : fourth
→ 6 : 18 : : third term : 25
→ 6/18 = third term/25
→ 6*25/18 = third term [multiplying both sides by 25]
→ 1*25/3 = third term
→ 25/3 = third term.
The table below shows the amount Amelia earned babysitting. Find the rate of change
Answer:
1 : 8
Step-by-step explanation:
Answer:
$8 per hour
Step-by-step explanation:
First you have to do 16/2 or 32/4 to get your answer which is 8
Hope this helps!
Solve the qustion below please
Answer:
angle BNU = 60 degrees
Step-by-step explanation:
3x + 8 = 44
3x = 36
x = 12
5x = 60
ast week, a coral reef grew 20.4mm taller. How much did it grow in meters
Answer:
0.0204 meters
Step-by-step explanation:
Answer:
0.0204
Step-by-step explanation:
1 metre=1000 metres
x = 20.4
cross mutiply
20.4/1000
0.0204
What is the value of x in the figure below if JW=17 and YW=3x+1
(will mark brainlest)
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached parallelogram
[tex]JW = 17[/tex]
[tex]YW = 3x + 1[/tex]
Required
Find x
JW is the midpoint of YW. So:
[tex]YW = 2 * JW[/tex]
This gives
[tex]3x + 1 = 2 * 17[/tex]
[tex]3x + 1 = 34[/tex]
Subtract 1 from both sides
[tex]3x = 33[/tex]
Divide through by 2
[tex]x = 11[/tex]
the farmer has a field of 300m.he want to fence it with 4 rounded barbed wire . what is the total length of wire he requires
Answer:
1,200 meters.
Step-by-step explanation:
Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:
300 x 4 = X
1,200 = X
Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.
How bad is the heavy traffic? You can walk 14
miles in the same time that it takes to travel
35 miles by car. If the car's rate is 6 miles per
hour laster than your walking rate find the
average rate of each.
Answer:
I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
Step-by-step explanation:
Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:
35 - 14 = 21
21/6 = 3.5
35 / 3.5 = 10
14 / 3.5 = 4
So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.
Find m
A. 110°
B. 70°
C. 250°
D. 55°
Answer:
A:100°
Step-by-step explanation:
BECAUSE IS THE SAME
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
Original amount: 27
End amount: 38.61
Increase or decrease
Answer:
increase
Step-by-step explanation:
11.61 was added to 27
A 2-gallon bottle of bleach costs $14.24. What is the price per pint?
Answer:
16 divided by 14.24 = 1.12359550562
If you round it would be: $1.12
Answer:
$1.12
Step-by-step explanation:
there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12
The any quality 5G > 45 when g is=
Answer:
the answer is 9
Step-by-step explanation:
9 x 5 = 45 so g is 9
Hope this Helped!!!!!!!!!!!!
A trail mix has 1/2 cup of raisins and 2/3 cup of peanuts. Witch ingredient has the great amount?
Answer:
Peanuts
Step-by-step explanation:
Answer:
peanuts
Step-by-step explanation:
HEEEEEEEEEELLLLLLLLLLP
Pls help me with this
Answer:
Number 6 is 7
Step-by-step explanation:
8 x 7 = 56
49 + 7 = 56
Help pls! Need by 2 pm est time. Just do number 2 pls
Answer:
7 feet
Step-by-step explanation:
I hope my answer is correct!
this one anyone can help
Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
A line's graph is shown. Write an equation for the line.
Answer:
Step-by-step explanation:
the equation for the line is y = 4
Solve the simultaneous equations
8x – 3y = 30
3x + y = 7
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Which one, please?!
Quickly!
Answer:
c) FJ and GH
Step-by-step explanation:
3. Classify the number: -4
Answer:
Aight.
Rational, Real, Integer, Negative
Answer:
It is a rational, real, negative number, and an integer.
Hope that helps!
Step-by-step explanation:
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
what are the Best odd to play in betting
Answer:
ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose
Step-by-step explanation:
HELLPPPP PLEASE
I WILLL MARK YOU BRILL
Answer:
13
Step-by-step explanation:
71-6=65
65/5=13
therefore the answer is 13
5d + 6 = 71
5d = 71 - 6
5d = 65
d = 65/5
d = 13
1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent
Answer:
He loses 100 Rs. during the process of buying and selling.
Step-by-step explanation:
1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.
2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.
3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.
4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.
( Now there are 2 scenarios in this case )
1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.
2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .
( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )
I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.
I hope this helped have a good day!
Answer:
Profit %= 50%
Step-by-step explanation:
Price for 40 bulbs: Rs.800
Price for 1 bulb each: 800/40= Rs 20
Price for 10 bulbs= 10*20=Rs. 200
This means that Rs. 200 were wasted due to 10 bulbs being broken.
The remaining bulbs; 30 are sold at a price of Rs 30 each.....
In reality, the price of the remaining 30 bulbs: 30*20=600
Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900
Profit= SP-CP; Profit= 900- 600= Rs 300
Profit%= 300*100/600= 50%
Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?
Answer:
$54
Step-by-step explanation:
300 times 0.06 times 3
0.06 times 3 = 0.18
300 times 0.18 = 54
The simple interest is $54
Answer:
$54
Step-by-step explanation:
A = P(1 + rt)
300(1 + (0.06 × 3)) = 354
Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.
Answer:
96 ft
Step-by-step explanation:
A= bh
A = 12 x 8
A = 96
Answer:
96 ft^2
Step-by-step explanation:
12*8
What year is 7 years after 2003
Answer: 2010
Step-by-step explanation:
2003+7=2010