The solution of the given equation is (3,6). The correct option is B.(3,6)
Given equations,[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]
How to solve the equations?putting the value of y from equation (1) in equation (2) , we get
[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]
substitute the value of x=3 in equation (1) we get,
[tex]y=3+3\\y=6[/tex]
Hence, the solution of given equation is (3,6).
So, the correct option is B.
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Given: RS is the perpendicular bisector of AB
Prove: RA ≅ RB
Answer:
See answer below
Step-by-step explanation:
RS ⊥ bisector of AB Given
AS ≅ BS Definition of ⊥ bisector
∠RSB is a right angle Given
∠RSB = 90° Definition of right angle
∠RSB & ∠RSA form a linear pair Definition of linear pair
∠RSB + ∠RSA = 180 A linear pair = 180°
90° + ∠RSA = 180° Substitution
∠RSA = 90 Subtraction
∠RSB = ∠RSA Substitution
∠RSB ≅ ∠RSA If equal then congruent
RS ≅ RS Reflexive
Δ RAS ≅ ΔRBS SAS
RA ≅ RB CPCTC (corresponding parts of
congruent triangles ≅
HELP ASAP NO LINKS
Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?
O A. $646.07
OB. $609.50
OC. $575.00
O D. $500.00
Answer: the answer is B which is $609.50
Step-by-step explanation:
I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50
Answer:
What that other person said
Burt ran the length of the trail in his town’s park. There are 9 parts to the trail, and each part is the same length. Burt ran a total of 1.8 kilometers.
What is the length of each part of the trail?
Answer:
.2 kilometers
Step-by-step explanation:
Since there are 9 parts to the trail and the total is 1.8 kilometers, just divide the total by how many parts. 1.8 divided by 9 is .2 so the length of each part of the trail is .2 kilometers
Meriel works in a lab and needs to measure 7.5 grams of a substance with a percent error of less than
5%. What is the smallest and largest amount they can measure to stay under this percent error?
Answer:
Step-by-step explanation:
A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!
Help would be appreciated!
Answer:
Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.
(I don't know how to calculate the perimeter for the second question)
Answer:
Answer: 28
Step-by-step explanation:
A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.
Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set
Answer:
256= 4 power 4 and 125 = 5 power 3
what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )
Answer:
0
Step-by-step explanation:
........
Answer:
g=-10
Step-by-step explanation:
-g+2(3+g) = -4
-g+6+2g=-4
g=-4-6
g=-10
52 as a product of prime factors.
Answer:
13 *2*2
or
13*2^2
Step-by-step explanation:
52 = 26*2
But 26 is not prime
52 = 13*2 *2
52 = 13 * 2^2
Step-by-step explanation:
hope it helped!! ..............
Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?
The smallest possible value of x is the value less than 2/3
Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]
We need to find the smallest possible value of x as shown:
[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]
Reciprocate both sides
[tex]x < \frac{2}{3}[/tex]
Hence the smallest possible value of x is the value less than 2/3
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Answer:x=7
Step-by-step explanation:
help me with this question plzzzzzzz
Answer:
The base is 9.4 milliliters
Step-by-step explanation:
First, you would notice that they give you the perimeter of it. Meaning 51.4 was a sum of adding the height and base length twice. So you would take 51.4 and subtract 16*2 from it. Which would be 19.4. Next, since 19.4 would be both bases added, and they are both the same, you would do 19.4/2=9.4
The base is 9.4 milliliters.
Answer:
9.7
Step-by-step explanation:
P=2B+2H=51.4
B+H=25.7
H=16
B=25.7-16
B=9.7
Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?
Answer:
$64.00
Step-by-step explanation:
8x8=64 (64 yards)
64x1=64
It would cost 64 dollars to buy enough carpet for the living room.
Find the slope of the line that includes the ordered pairs.
Find the perpendicular slope of the given ordered pairs.
Find the 60th term of the following sequence.
4, 8, 12,
Answer:
240
Step-by-step explanation:
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
A
Step-by-step explanation:
The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1
Hope that helps
the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?
Answer:
$41.78
Step-by-step explanation:
tax is 4.5% on top of original price of 39.98
so multiplying 39.98 by 1.045 gives us 41.78
you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included
10)
There are 14 black pens out of 25 pens. What percent of the pens are black?
Answer:
Step-by-step explanation:
14 dived by 25 is 56%
Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?
Answer:
3.75$
Step-by-step explanation:
The part is the unknown.
Set up a proportion with the known values and solve for the part.
Using whole = $25, percent = 15%, part = ? dollars
part whole=percent 100→?25=15100
Multiply the numerator and denominator of a fraction by the
same number to determine an equivalent fraction.
StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100
Solve for the part.
?=15÷4=334=3.75
what is the answer for this question 7(x+4)-7=48-2x
Answer:
3
Step-by-step explanation:
Expand
7x+28-7 = 48-2x
Simplify
7x+ 21 = 48-2x
Solve
Take 21 away from both sides
7x = 27-2x
Add 2x to both sides
9x = 27
Divide by 9 to find x
x = 3
find the quotient 8^6/8^2
Answer:
4096
Step-by-step explanation:
the smiths want to fence their square garden, which has an area 256 square meters.
Questions 4, 5 and 6
PLEASE I NEED THIS ASAP
Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.
Answer:
a = m/c
Step-by-step explanation:
I translated the paragraph into these options. Please check accuracy.
m = ca?
a = cm No, a = m/c
a = m/c Yes
c = am No, c = m/a
c = a/m No, c = m/a
The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
Given to us:
[tex]m=ca[/tex]
dividing both sides by c, we get
[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]
canceling c from right hand side, we get
[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]
Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
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The graph of a proportional relationship passes through (12, 16) and (1, y). Find y.
Answer:y=16
Step-by-step explanation:
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answer:
The answer is 72%
Step-by-step explanation:
[tex]\frac{54}{75} = 72[/tex]
54 out of 75 is a percentage of 72%.
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The percentage of the goal did he achieve will be 72%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.
The percentage of the goal did he achieve will be calculated as,
P = (54 / 75) x 100
P = 0.72 x 100
P = 72%
The percentage of the goal did he achieve will be 72%.
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At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression
Answer:
It would be 9.6 inches after 4 weeks.
The expression you would use is 5 + 2.5 × ww = ?
Step-by-step explanation:
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.
So the sunflower was 5 inches tall to start off.
First you need to do 2.5 times 4.
Which is 9.6 inches after 4 weeks.
The expression you would use is.
5 + 2.5 × ww = ?
what is the slope of the line on the graph
Answer:
5
Step-by-step explanation:
pls help me! (more info in photo)
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?
Answer:
About 35 or 34.27 if you round to the tenths spot.
Step-by-step explanation:
514 divided by 15 is 34.27 once rounded.
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
=
A. x= -V19+
B. X= -
V14
3
O c. x=
114
3
O D. x= -119 +5
3
E. x = V19+
+
3
V19 +5
O F. X=
3
The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
We are given that;
The function (3x - 5)2 = 19
Now,
To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:
Take the square root of both sides to get 3x - 5 = ±√19
Add 5 to both sides to get 3x = 5 ±√19
Divide both sides by 3 to get x = (5 ±√19)/3
Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.
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This month is October.Which month will 2451 months later be.
Answer:
The month will be October again lol :)
Step-by-step explanation:
a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate
Answer:
By:Parrain
Step-by-step explanation:
The probability that the selected tile will be green is 0.5.
The probability that a tile will be green can be calculated by the formula:
= Number of green tiles / Total number of tiles
Total number of tiles is:
= 3 + 6 + 3
= 12 tiles
Probability of picking green tile is therefore:
= 6 / 12
= 50%
= 0.50
The probability of picking a green tile is 0.50