Answer and explanation:
A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc
An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc
Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:
1/2+3/1= 1+6/2=7/2=2 1/2
When adding intergers 2+4, we add normally as in the number line = 6
Delilah deposits 8,255 in an account that pays 4.2% simple interest. How much money will be in her account after 8 years
Answer:
11235.35
Step-by-step explanation:
Given data
P=8225
R=4.2%=0.042
T=8years
The simple interest formula is
A=P(1+rt)
Substitute
A=8225(1+0.042*8)
A=8225(1+0.336)
A=8225*1.366
A=11235.35
Hence the balance will be 11235.35
The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
produced when the cost is $19. Round your answers to the nearest whole number
All work must be clearly shown, step by step, to receive full credit. Separate your work. Each new statement or
equation, must be on a new line.
Answer:
66 coolers
Step-by-step explanation:
C = 0.005x² - 0.3x + 17
When C = $19
19 = 0.005x² - 0.3x + 17
19 - 17 = 0.005x² - 0.3x
2 = 0.005x² - 0.3x
0.005x² - 0.3x - 2 = 0
x = -b ± √b² - 4ac / 2a
= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005
= 0.3 ± √ 0.09 - (-0.04) / 0.01
= 0.3 ± √ 0.09 + 0.04 / 0.01
= 0.3 ± √ 0.13 / 0.01
= 0.3/0.01 ± √0.13/0.01
= 30 ± 0.36/0.01
x = 30 ± 36
x = 30 + 36 or 30 - 36
x = 66 or -6
Number of coolers can not be negative
Therefore, number of coolers produced when the cost is $19
is 66 coolers
WILL GIVE BRAINLIEST!!!
What is the y=mx+b of the equation 5x−4y=12?
Answer:
y = 5/4x - 3
Step-by-step explanation:
What is the value of z?
=
Answer:
[tex]z=133/6[/tex]
Step-by-step explanation:
All angles in a triangle added up are equal to 180 degrees.
We can make the equation:
[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]
Answer:
Step-by-step explanation:
We have 3 angles, 2z, 4z, 42
the sum of these angles equal to 180
2z+4z+42=180
6z=180-42
6z=138
z=138/6=23
z=23
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
⦣ACB = 76º
Step-by-step explanation:
⦣DCB = ⦣BAD because one of the rules of a parallelogram is that opposite angles are equal
⦣BAD = 76º so ⦣ACB = 76º
A car drives 160 km in 2 hours.
What is the average speed of the car?
Answer:
The car travelled an average speed of 80 km/h.
Step-by-step explanation:
Distance travelled by the car = 160 km
Time taken by the car = 2 hours.
Average speed =?
Average speed = Distance/Time
Average speed = 160/2
Average speed = 80 km/h
The car travelled an average speed of 80 km/h.
Determine a series of transformations that would map Figure B onto Figure C
Answer:
Reflect across the y-axis. Then, translate 7 units up.
Simplify the expression:
3x + 5x + 6x – 4
Answer:
14x-4
Step-by-step explanation:
So you know 3x +5x = 8x so then you add 6x and put -4
Answer:
14x - 4
Step-by-step explanation:
simplifying this kind of given expression just means to put the variables all together and the numbers all together to get a shorter and more simplified version of the equation.
first do:
3x+5x+6x=
14x
and than you just have one number so your final simplified equation would be:
14x-4
The area of a circle is 36π in². What is the circumference, in inches? Express your answer in terms of \piπ.
Answer:
[tex]12\pi in[/tex]
Step-by-step explanation:
We are given that
Area of circle=[tex]36\pi in^2[/tex]
We have to find the circumference of circle in inches.
We know that
Area of circle=[tex]\pi r^2[/tex]
Using the formula
[tex]36\pi=\pi r^2[/tex]
[tex]r^2=36[/tex]
[tex]r=\sqrt{36}=6[/tex] in
Circumference of circle=[tex]2\pi r[/tex]
Using the formula
Circumference of circle=[tex]2\pi (6)=12\pi in[/tex]
Hence, the circumference of circle=[tex]12\pi in[/tex]
a bracelet is now reduced to £420.
this is 70% of the original price.
work out the original price of the bracelet.
Answer:
420÷70=6
6×100= 600
Step-by-step explanation:
not sure if it's correct tho
14. A real estate agent sells a house for $176,500. She earns a 3.5% commission. To the nearest dollar, how much does she earn? * A $61,775 B $6178 C $617,750 PLZ HELP ILL GIVE BRAINLIEST
Answer: $6,178
Step-by-step explanation:
176,500 x 3.5%
3.5% = .035
176,500 x .035 = 6,177.5
$6,177.5 rounded = $6,178
which number line shows the solution to the inequality
5x + 3 ≥ - 17?
Answer:
C.
Step-by-step explanation:
in a school,7÷16of the students are girls. what fraction of the students are boys?
[tex]ln \: a \: school \: \frac{7}{16} of the \: students \: are \: girl \: what \: fraction \: of \: the \: students \: are \: boy[/tex]
Answer:
9/16
Step-by-step explanation:
Asap, need help. Thanks if your going to help me! Please explain the steps!
Answers:
Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars=============================================================
Explanation:
We don't have enough information to nail down exact figures, but we can make a range estimate.
The two people (call them A and B) share the profits in the ratio of 4 to 5
In shorthand notation, we can say the ratio is 4:5
This means person A gets 4x dollars while person B gets 5x dollars
The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.
The total profit is therefore 4x+5x = 9x dollars
This expression 9x is between 1800 and 3600 dollars, including both endpoints
We then can say...
[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]
We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.
The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.
-------------------------
To summarize:
Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.
-------------------------
Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.
- 3 ( x + 4 ) = - 24
What is x?
*the dash in front of the numbers is a negative sign*
Let's solve your equation step-by-step.
−3(x+4)=−24
Answer:
x=4
What is the simplified expression of (2x -8) + (3x-2)
Answer:
5x-10
Step-by-step explanation:
Answer:
5x-10
Step-by-step explanation:
You can add the x together, 2+3 is 5 so we have 5x.
The you add the other numbers, -8+-2 is -10.
You then can put the addition in, and have 5x+-10. Since 10 is a negative, there's no need to put the addition sign, so 5x-10 would be the answer.
the coordinates of ABC are A( 2,3), B(6,6) , and C(7,2) . After a translation , the image of vertex A is (-6,1). a). give the coordinates of B and C after the same translation.
Answer:
B (-2, 4)
C (-1, 0)
Step-by-step explanation:
(x,y) -> (x - 8, y - 2)
A (2, 3) -> (2 - 8, 3 - 2) = A (-6, 1)
B (6, 6) -> (6 - 8, 6 - 2) = B (-2, 4)
C (7, 2) -> (7 - 8, 2 - 2) = C (-1, 0)
Hope this helped and made sense!
The mean of three numbers is 8
Two of the numbers are 6 and 11
Work out the third number.
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
→ Form an equation
[tex]\frac{x+6+11}{3}=8[/tex]
→ Solve
[tex]x+6+11=24\\[/tex]
[tex]x=7[/tex]
I NEED THIS FONE ASAP HELP!!!!!
help, need instant answer will mark brainliest.
Answer:
Step 1 is incorrect
3x +15= 2x+35
Answer: step 2
Step-by-step explanation:
Cuz the opposite of addition is subtraction so they should ve subtracted -2x from both sides and not add.
what equation contains the given point ( -3,5)
Answer:
y = x + 8
Step-by-step explanation:
Answer:
To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.
Step-by-step explanation:
Off the inter net... sorry
How much salt is there in 50 gallons of a 3% salt solution?
Mississippi has the lowest median income at 40.6 thousand dollars. Mississippi also has about 207 bachelor’s degrees per 1,000 people. What does the linear model estimate for the number of bachelor’s degrees per 1,000 people for Mississippi based on the median income? How good is this estimate?
Answer:
178
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
I answered this so the other girl* can get the brainliest he deserves.
Hey I need help ASAP NO SCAM PLEASE PROVIDE REASON WHY THIS IS THE ANSWER AND DONT SCAM IF YOU HAVE A QUESTION SAY IN THE INBOX NOT THE ANSWER AND STEAL POINTS thank you :3
Answer:
117 in²
Step-by-step explanation:
The formula is just Area = base * height
This means 13in*9in=117in²
The area of the parallelogram is 117 in²
Find the coordinates of the midpoint of the segment gives its endpoint 6. A(5, 8) and B(-1,-4)
Answer:
(2,2)
Step-by-step explanation:
The midpoint between (5,8) and (-1,-4) would be (2,2). I hope that's what you're looking for.
Which is the correct answer?
A) 3.41 m
B) 2.29 m
C) 1.59 m
D) 2.71 m
Answer:
its b or c ( im not for sure tho)
Step-by-step explanation:
What is the median of 5,7,4,9,7,6,4,6
Answer:
6
Step-by-step explanation:
4,4,5,6,6,7,7,9 line them up from least to greatest then find the middle number
since 2 sixes are in the middle add them together and divide by 2 normally but these numbers are equal so the median is 6
Answer below ↓
Mean x¯¯¯ 6
Median x˜ 6
Mode 7, 4, 6
Hope this helps
Which of the following could be the side measures of a right triangle?
Answer:
c
Step-by-step explanation:
if you use the Pythagorean Theorem and take the sum of the square of the legs, it will equal the square of the hypotenuse in answer (c)
8² + 6² = 10²
64 + 36 = 100
100 = 100
Answer:
Step-by-step explanation:
C
ASAP PLEASE
What is the area of rectangle ABCD, If points A, B, C, and D have these following coordinates? A(0,0) B(5/7, 0), C(5/7, 3 1/2), D(0, 3 1/2)
Answer:
d
Step-by-step explanation:
If 40 crayons cost $1.60, how much would 8 crayons cost?
Answer:
0.32
Step-by-step explanation:
1.60/4=0.04
0.04*8+=0.32