Given :
The ordered pair (10, 4) is solution to the equation 3x - 5y = 10.
To Find :
Which one is the solution and which is not.
Solution :
Two pairs are (10,4) and (4,10) :
Putting ( 10,4 ) in given equation, we get :
LHS = 3( 10 ) - 5( 4 ) = 30 - 20 = 10 = RHS
So, ( 10,4 ) is the solution of the equation.
Now, putting, ( 4, 10 ) in given equation, we get :
LHS = 3( 4 ) - 5( 10 ) = 12 - 50 = -38 ≠ RHS
Therefore, (10,4) is the solution and (4,10 ) is not the solution.
Hence, this is the required solution.
Answer: Yes, (10,4) is a solution
Step-by-step explanation: Took the test
You draw two cards from a standard deck of 52 cards and replace the first one before drawing a second. What is the probability of drawing a king and a five in either order?
Answer: 4 over 663 hope this helps
Is this relation a function by using straight line test
Answer:
No
Step-by-step explanation:
Graph all points. They do not make a line.
1. At the beginning of the month, Michael had $22 in his account at the school bookstore. Use a variable to represent the
unknown quantity in each transaction below and write an equation to represent it. Then represent each transaction on a
number line. What is the unknown quantity in each case?
First he bought some notebooks and pens that cost $16.
Then he deposited some more money and his account balance was $27.
Then he bought a book for English class that cost $39.
Then he deposited exactly enough money so that he paid off his debt to the bookstore.
Answer: -6
Step-by-step explanation: $22 - $16 + $27 - $39 = -6
Symbol equation --> a - b + c - d = x
Can the set of lengths be the side lengths of a right triangle?
8 ft, 15 ft, 17 ft
Answer:
yes
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the longest side squared is equal to the sum of the other 2 sides, then the triangle is right.
longest side = 17 and 17² = 289 and
8² + 15² = 64 + 225 = 289
Since 8² + 15² = 17² then the triangle is right.
Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $625. If he rented the same boat on Monday for just two hours, what is the cost for Jake to rent the pontoon boat for the entire three-day weekend?
Answer:
$265
Step-by-step explanation:
You add $435 and $625 and get $1060 dived that by four and you get
Answer: $1400 for the total 3 days
Step-by-step explanation:
A= (3,435)
B= (5,625)
625-435 190
M= ————— = —— = 95
5-3 2
Y- 435= 95(x-3)
Y - 435= 95x - 285
Y= 95x + 150
95(2) + 150
190 + 150
= $340 for Monday
Finally,
435 + 625 + 340= $1400 for 3 days
Which of the following problem types require you to find the LCD? (choose ALL that apply)
multiplying rational expressions
multiplying rational expressions
dividing rationals expressions
dividing rationals expressions
adding rational expressions
adding rational expressions
subtracting rational expressions
subtracting rational expressions
solving rational equations
Answer:
The correct options are;
Adding rational expressions
Subtracting rational expressions
Step-by-step explanation:
When adding or subtracting rational numbers, the denominators of the fractions representing the numbers should be equal
Therefore, when adding two or more rational expressions together, the following steps are required;
1) Looking for the Lowest Common Denominator
2) Finding the product of the quotient obtained from dividing the LCD by the denominator of a fraction and the numerator of the fraction
3) Placing the sum (or differences) of the products obtained in the above step as the numerator, while the LCD remain denominator
4) Simplifying the numerator in the above step
5) The faction so obtained, is the sum or difference of two or more rational expressions.
11/13 in lowest term
Answer:
11/13 is already simplified
Step-by-step explanation:
Shopping: Tax
Situation: You are purchasing four items and want to calculate the tax. The items cost $2.50, $8.75, $3.00, and $10.25. The tax rate is 6%. How much is the tax?
Calculation With Distribution. PLS show all work step by step
The tax is normally done to the total so add the prices up 2.50+8.75+3.00+10.25=24.5
percent is 6%
percent means parts out of 100 so
6%=6/100=0.6/10=0.06/1=0.06* 6% of total* 'of'' translates to multiply
24.50 times 0.06=tax=1.47
Answer:
Step-by-step explanation:
The tax itself is $1.47
You can calculate that by adding up all four items. You should get $24.50. Then, you multiply 24.50 by 6%. When multiplying 24.50 and 6%, make sure you multiply (24.50)(0.06) and not (24.50)(0.6).
The total cost of the items after tax is $23.03 just in case you needed that. Just subtract
24.50 - 1.47
А
The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?
The population of the city increases by 140 during the next year.
The population of the city decreases by 140 during the next year.
The population of the city stays constant during the next year.
D The population of the city decreases by 10 people per month during the next year.
B
С
Step-by-step explanation:
..
Answer:
D
Step-by-step explanation:
Which lines are parallel? A) p and q B) q and r C) p and s D) r and s
Answer:
the correct option would actually be option C.
Step-by-step explanation:
1.) it is on USA test prep.
2.) Since 111 degrees and 69 degrees are supplementary, we can conclude that lines p and s are parallel.
there are 20 marbles in a bag. 35% of the marbles are blue. how many marbles are blue?
Answer:
7 marbles are blue.
Answer:
7
Step-by-step explanation:
20 divided by 100 times 35!
Mathematics Transform Exponential Functions
Please answer
Answer:
g(x) = 6 * 3^x
Step-by-step explanation:
This is the answer because the question states that the graph is vertically stretched by a factor of 6. Since the parent function of an exponential function is f(x) = a * 3^(k(x-d)) + c, we plug in 6 for a, where we get g(x) = 6 * 3^x.
Two sidewalks in a park are represented by lines on a coordinate grid two points on each of the lines are shown in the tables 2501133-3
Answer:
is there a some sort of picture
In a triangle, if the second angle is 5º greater than the first angle and the third angle is 5° greater than the second angle, find the three angles of the triangle.
Answer:
Angle 1= 55 degrees
Angle 2=60 degrees
Angle 3=65 degrees
Step-by-step explanation:
angles in triangle add to 180 degrees
Mark has invested in Evu Confectioners. He owns 220 shares of stock in Evu Confectioners, with each share costing him $14.79 apiece but paying a yearly dividend of $2.03. Mark also owns three par value $500 bonds from Evu Confectioners, each of which had a market value of 93.630 and which pay 8.8% interest. If Mark’s broker charges a commission of $55 per ten shares of stock bought or sold and a commission of 3% of the market value of each bond bought or sold, which aspect of Mark’s investment in Evu Confectioners has the greater percent yield, and how much greater is it?
a.
The stocks have a yield 4.33 percentage points greater than that of the bonds.
b.
The stocks have a yield 0.88 percentage points greater than that of the bonds.
c.
The bonds have a yield 0.32 percentage points greater than that of the stocks.
d.
The bonds have a yield 3.68 percentage points greater than that of the stocks.
Answer:
b, 0.88
Step-by-step explanation:
just took the quiz
Marks invested in the evu confectioners and own a 220 shares of stock. Each of them costs him $14.79 but pays dividend of $2.03 mark also owns a 3 par value of $500 bonds.
if Mark broker charges him a commission of $55 per ten shares of stocks thar he sold and take a commission of 3%. The aspect of mark investment in the Evu would be much greater than point shared by the bonds. Thus the stocks would be yields a 0.88% points larger than bonds. Hence the option B is correct.Learn more about the Evu Confectioners.
brainly.com/question/2823822
Given the expression 5a2b2 − 13ab + 7a3 − 4b, do the following as instructed below:
A: Write the polynomial in descending order.
B: Classify the polynomial by the number of terms.
C: State the degree of the polynomial.
Andre has $37 in his bank account and writes a check for $87. After the check has been cashed, what will the bank balance show?
Answer:
If he is adding the check it will be $124, but if he is withdrawing a check it will be -50
Step-by-step explanation:
Hope this helps
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What is the measure of the largest angle of a triangle if the ratio of the measures of the three angles is 5:3:1
Answer:
First Angle = 100°
Second Angle = 60°
Third Angle = 20°
Step-by-step explanation:
Step 1:
5 : 3 : 1 Ratio
Step 2:
5x + 3x + x = 180° Sum of a Δ
Step 3:
9x = 180° Combine Like Terms
Step 4:
x = 180° ÷ 9 Divide
Step 5:
x = 20°
Answer:
First Angle = 5 × 20° = 100°
Second Angle = 3 × 20° = 60°
Third Angle = 1 × 20° = 20°
Hope This Helps :)
Find the mode for the following set of data:
16, 14, 24, 32, 14 ASAP correct answers only
Answer:
14
Step-by-step explanation:
Mode is the value that appear most often in a set of data values.
Look at this set of data:
16,14,24,32,14
Which number appears the most? The answer is 14.
16, (14), 24, 32, (14)
Solve the following systems of equations by elimination.
4x+3y=-2
8x-2y=12
help me
I need someone..
plsss..
4 In a survey, 70% of homes were on the internet.
Of these homes, 70% had broadband.
There are 2450 homes with broadband internet.
How many homes were included in the survey?
Answer:
hi
Step-by-step explanation:
Which postulate or theorem, if any, could you use to prove DBE is congruent to FCE? If not enough information is given choose not information.
Congruent triangles have equal corresponding angles and sides
The theorem that proves that DBE is congruent to FCE is ASA
From the diagram, we have the following highlights
Angle B is congruent to angle CSide length BE is congruent to side length CEAngles at E on both triangles are congruentThe above highlights represent congruence theorem ASA
Hence, the theorem that proves that DBE is congruent to FCE is ASA
Read more about congruent triangles at:
https://brainly.com/question/1675117
3
Bridget needs an actor. Actor A is offering her services for an initial $140 in addition
to $20 per day. Actor B is offering her services for an initial $200 in addition to $15
per day.
Write a function g (x) for actor B
Answer:
(x=days) g(x)=15x+200
Step-by-step explanation:
the 200 is a base fee, meaning you cant tag a variable on it and in this case it works as a y-intercept, the 15 dollars a day would be 15x because x is the number of days and to calculate how much it costs to work a few days you multiply the daily rate and the number of days, then add 200 to get your cost.
Need help first gets brainiest!
Answer:
1: 60 degrees
2: 50 degrees
3: 110 degrees
What is the answer to :
5/3 - 2 1/3
Answer:
- 2/3
Step-by-step explanation:
HOMEWORK HELP ME PLEASE
Answer:
Y = 3
Step-by-step explanation:
Please help me with this how to find y.
Answer:
90 degrees
Step-by-step explanation:
QUESTION OF THE DAY: There are 5 blue M&Ms, 6 red M&Ms, 5 yellow M&Ms, 8 green M&Ms, 4 orange M&Ms, and 7 brown M&Ms in a bag. What is the probability of selecting a green or brown M&M?
Answer:
15/35
Step-by-step explanation: