Answer:
[tex]{ \rm{(2x + 156) = (4x + 192)}} \\ { \tt \{alternate \: angles \}} \\ \\ { \rm{4x - 2x = 156 - 192}} \\ \\ { \rm{2x = - 36}} \\ \\ \dashrightarrow \: { \rm{x = - 18}}[/tex]
[tex]\\ \sf\longmapsto 2x+156=4x+192[/tex]
[tex]\\ \sf\longmapsto 2x-4x=192-156[/tex]
[tex]\\ \sf\longmapsto -2x=36[/tex]
[tex]\\ \sf\longmapsto x=-18[/tex]
A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?
Step-by-step explanation:
Let +a+ = liters of 40% solution needed
Let +b+ = liters of 25% solution needed
+.4a+ = liters of HN03 in 40% solution
+.25b+ = liters of HN03 in 25% solution
------------------------------------
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(2) +a+%2B+b+=+57+
-----------------
(1) +.4a+%2B+.25b+=+.26%2A57+
(1) +.4a+%2B+.25b+=+14.82+
(1) +40a+%2B+25b+=+1482+
Multiply both sides of (2) by +25+
and subtract (2) from (1)
(1) +40a+%2B+25b+=+1482+
(2) +-25a+-+25b+=+-1425+
+15a+=+57+
+a+=+3.8+
and, since
(2) +a+%2B+b+=+57+
(2) +3.8+%2B+b+=+57+
(2) +b+=+53.2+
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+
(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+
(1) +14.82+=+.26%2A57+
(1) +14.82+=+14.82+
think you should got the answer
Four friends at a party poped 3/4 of a bag of popcorn and only ate half what fraction did they eat
Answer:
1/4 i think..couse 3/4 - 1/2 = 1/4
Step-by-step explanation:
Adam Zetts is an aerospace engineer. He earns $78,000 a year
and is paid on a semimonthly basis. How much is deducted
per pay period for Social Security? How much for Medicare?
Answer:
Social Security: $201.50, Medicare: $47.13
Step-by-step explanation:
divide 78,000 by 24(semimonthly) - $78000/24 = $3250(gross semimonthly basis)
multiply 3250 by .062(social security) - 3250 x .062 = $201.50
multiply 3250 by 0.0145(medicare) - 3250 x 0.0145 = $47.13
if 6/10 = 21/K what is K
You can cross multiply for this problem. So:
[tex]\frac{6}{10}=\frac{21}{K}\\6K=210\\K=35[/tex]
So K=35!
Hope this helps! :)
3.7+9f=49.6 which is the value of f
9f =49.6-3.7
9f=45.9
f = 5.1
The bus fare in a city is $2. People who use the bus have the option of purchasing a monthly discount pass for $39. With the discount pass, the fare is reduced to 0.50. Using this information, complete parts
Answer:
ANSWER. 18 times.
Step-by-step explanation: I think so
True or false? Multiplying a number by itself creates as “perfect square”.
Answer:
true
Step-by-step explanation:
Solve the inequality 5z+8≥-7
Answer:
z≥−3
Step-by-step explanation:
1 Subtract 88 from both sides.
5z≥−7−8
2 Simplify -7-8−7−8 to -15−15.
5z≥−15
3 Divide both sides by 55.
z≥− 15/5
4 Simplify 15/5 to 3
z≥−3
For any of you coding experts. I'm just beginning to take coding seriously and I want to know which coding language is the easiest for beginners. Any tips?
Answer:
binary codenis the easiest bro it's just 1 and 0 right?
The ratio of shirts to pants is 3 to 2. If there are 6 shirts, how many pants are there?
12
6
4
9
Answer:
4
Step-by-step explanation:
Two thirds of 3 is 2 and two thirds of 6 is 4, Hope this helps :)
Answer:
4
Step-by-step explanation:
Given:
The ratio is shirts to pants 3:2.
That means for every 3 shirts, there is 2 pairs of pants.
Therefore, your answer would be 4.
il perimetro di un rettangolo è di 22 cm e la base supera di 2 cm il doppio dell’altezza . determina le misure dell’altezza del rettangolo
Answer:
2× 22=44÷4=6/4 o 6.4 6.4=44. ×2 x=6.4
Find the equation of a line that passes through the point (-3,-2) and has a gradient of -4.
Leave your answer in the form y = mx + c
maths help pls
Answer:
y = -4x - 14
Step-by-step explanation:
plug (x, y) in to the y = mx+ b formula, and plug -4 in as m
A parachutist's speed during a free fall reaches 55 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers
Explanation:
Explanation:50 m ≅164 ft (3s.f.)
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/s
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s
Explanation:50 m ≅164 ft (3s.f.)50 m/s≅164 ft/sdistance after 20s:d=164 ft/s ⋅20s=3280 ft
follow me
!!!IMPORTANT!!!!
How do you tell which element is more reactive in a chemical reaction???
Please Help!
Answer:
I think it might be which ever one produces more enzymes
Step-by-step explanation:
just like anaerobic respiration and aerobic respiration
Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third digits, but the last two digits cannot both be 1 (to avoid confusion with area codes such as 911). How many different area codes are possible with these rules? That same rule applies to the exchange numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10-digit phone numbers are possible? Given that these rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (Assume that the combined population is about 400,000,000.)
Using the fundamental counting theorem, we have that:
648 different area codes are possible with this rule.There are 6,480,000,000 possible 10-digit phone numbers.The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
8 options for the first digit.9 options for the second and third.Thus:
[tex]8 \times 9 \times 9 = 648[/tex]
648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
7 digits, each with 10 options.648 different area codes.Then
[tex]648 \times 10^7 = 6,480,000,000 [/tex]
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at https://brainly.com/question/24067651
Answer: Number of possible area codes: 792
Amount of 10-digit phone numbers: 6,273,640,000
Step-by-step explanation:
Solve the system of equations: 2x + 5y = -1 and 3x - y = 7
A. х = 7, y=6
B. x = 2, y = -1
C. X = 2, y = 1
D. None of the above
Answer:
B.) is correct answer .....
I think it is right..
I think it is right..Please make me brainliest..
Find the slope and y-intercept for the graph of the equation.
9x + 4y = 8
Answer:
slope= - 9/4 yintercept 0,2
Step-by-step explanation:
Answer:
slope = - [tex]\frac{9}{4}[/tex] , y- intercept = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 4y = 8 ( subtract 9x from both sides )
4y = - 9x + 8 ( divide terms by 4 )
y = - [tex]\frac{9}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = - [tex]\frac{9}{4}[/tex] and y- intercept c = 2
The sum of two numbers is 33. One number
is 27 more than the other one. Find the
numbers.
Step-by-step explanation:
a+b = 33
a-b = 27
______+
2a = 60
a = 30
b = 33-30 = 3
so, the numbers are : 30 and 3
need help please help me
Answer:
3
Step-by-step explanation:
27×1/9=27/1×1/9
=3
hope it helps!!
Lucy wants to try and get a hole-in-one on this hole. She knows that she could just the shot in two strokes by going straight down the green 220 yards and then 165 yards. How many yards is it from the tee area to the hole?
Answer:
385 yards
Step-by-step explanation:
220+165=385
The ratio of blue marbles to white marbles in a bag is 4 to 5. At this rate how many blue marbles are there if there are 15 white marbles
Answer:
Step-by-step explanation:
ratio of blue marbles to white marbles = 4:5
15/5=3
4x3:5x3
ratio if there are 15 white marbles= 12:15
denoting that 12 blue marbles would be there
ALGEBRA I PLS FIND THE RANGE FOR BRAINLIEST
Answer: (-9,-8) and (5,-4)
Step-by-step explanation:
I'm not 100% sure but i think this is the answer
Help me please please
Answer:
No
Step-by-step explanation:
According to the attached table, his taxes would be around 22%
Then
$68300 * (1 - 0.22) = $53.274
solve for y
6x - 3y = 15
hint: subtract 6x, divide by -3, simplify
Answer:
2.5
Step-by-step explanation:
6x-3y=15 because you have to times through 6x and 3y
havent used this website in a minute lol
100 points show ALL steps
[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]
[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]
[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]
Answer:
[tex]9xy\sqrt{3y}[/tex]Step-by-step explanation:
See the steps below:
[tex]\sqrt{108x^2y^3} -\sqrt{12x^2y^3} +x\sqrt{75y^3} =[/tex][tex]\sqrt{36*3x^2y^2y} -\sqrt{4*3x^2y^2y} +x\sqrt{25*y^2y} =[/tex][tex]6xy\sqrt{3y} -2xy\sqrt{3y} +5xy\sqrt{3y} =[/tex][tex](6 - 2+ 5)xy\sqrt{3y} =[/tex][tex]9xy\sqrt{3y}[/tex]Question 11 of 40
Solve the inequality.
4x < 20
A. X> 5
B. x < 5
C. x < 80
D. X> 80
I know it’s 5 just which way is the sign supposed to point?
Answer:
b
Step-by-step explanation:
4x<20
4/4 x < 20/4
x<5
Write an equation in slope-intercept form that has a slope of 3 and a y-intercept of 6
"The quotient of
a number and 6
minus 3 is l”
Answer:
3
Step-by-step explanation:
6-3=3
8-5=3
so that is the answer
2 Which equation describes the function shown in
the table?
х
-2
-1
0
1
2
у
-1
2
5
8
11
A y = x + 5
By = 3x + 5
=
=
c y= 3x + 5
D y = 5x + 3
Jacob chose D as the correct answer. How did he get that
answer?
Answer:
lam at po
Step-by-step explanation:
sa points pa brainlist nalng po
Raphael had 5 hits in 7 at-bats. If he continues this pattern, how many hits will he have in 210 at-bats?
Answer:
150
Step-by-step explanation:
Answer:
150 hits
Step-by-step explanation:
7a=5h
210a=x
the we cross multiply and get
x= 5h × 210a ÷ 7a
x= 150