Answer:
Step-by-step explanation:
Step 1) find the rise over run
rise: 2
run: 3
Step 2) put this into slope intercept form (y=mx+b)
B is the y intercept, which is -5 in this case
final answer: y = 2/3x -5
what is the simple intrest on a loan of $3,500 at 3.5% over 5 years?
The coordinates of the points A and Bare (2,5) and (-1,5) respectively. Find
the equation of the line AB
Answer:
slope:
5 - 5 / 2 - (-1) = 0
Thus, the equation of the line is y = 5
PLSSS HELP IM STILL BEING TIMEDD
Answer:
68°
Step-by-step explanation:
corresponding angles are the same
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 2: Word problem involving algebraic equations on them-As usual please explain the steps simply and some things to remember. answers for points will be reported :))
Answer:
[tex]\sf a. \quad \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]
Step-by-step explanation:
Formula for calculating speed:
[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]
Therefore:
[tex]\boxed{\sf Time=\dfrac{Distance}{Speed}}[/tex]
Given values:
x = the current (in mph)Speed = 10 mphDistance = 21 milesTotal time = 5 hoursIf the boat is traveling downstream, the current (x mph) will be pushing the boat faster, and so the boat's speed will increase by x mph.
Therefore, the expression for the time it takes for the boat to travel downstream is:
[tex]\sf Time\:(downstream)=\dfrac{21}{10+x}[/tex]
If the boat is traveling upstream, the current (x mph) will be pushing against the boat and so the boat's speed will decrease by x mph.
Therefore, the expression for the time it takes for the boat to travel upstream is:
[tex]\sf Time\:(upstream)=\dfrac{21}{10-x}[/tex]
Therefore, if the total time it takes to travel downstream and upstream is 5 hours:
[tex]\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]
To solve for x:
[tex]\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]
[tex]\implies \sf \dfrac{21(10-x)}{(10+x)(10-x)}+\dfrac{21(10+x)}{(10-x)(10+x)}=5[/tex]
[tex]\implies \sf \dfrac{21(10-x)+21(10+x)}{(10+x)(10-x)}=5[/tex]
[tex]\implies \sf21(10-x)+21(10+x)=5(10+x)(10-x)[/tex]
[tex]\implies \sf 210-21x+210+21x=5(100-10x+10x-x^2)[/tex]
[tex]\implies \sf 420=500-5x^2[/tex]
[tex]\implies \sf 5x^2=80[/tex]
[tex]\implies \sf x^2=16[/tex]
[tex]\implies \sf x=\pm4[/tex]
Therefore, the rate of the current is 4 mph.
3 friends shared 48 pineapples equally among themselves. One of the friends sold all his pineapple each at $5 how much did he get from selling the pineapples?
Answer: $80
Step-by-step explanation:
Step 1: Find how much each person got
48 pineapples shared amongst 3 people
48÷3= 16 pineapples each
Step 2: Find how much he earned
16 pineapples for $5 each
Total money made: 16x5= 80
$80 in all selling his share of the pineapples
hope this helps!!
The total amount of money the friend made from selling his pineapples is $80
How much did he get from selling the pineapples?Total pineapples = 48
Total friends = 3
Number of pineapples each friend takes = Total pineapples / Total friends
= 48/3
= 16 pineapples per friend
Cost of each pineapple = $5
Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes
= $5 × 16
=$80
Hence, the friend made $80 from selling his pineapples.
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HELP ASAP LIKE RIGHT NOW
The area of the garden was 2¾yd². If the length is 1 ½ yd, find
the width.
Answer:
11/6 or 1 5/6yards
Step-by-step explanation:
Area = Length x Width
2 3/4 = 1 1/2 w
11/4 = 3/2w to change 2 3/4 into an improper fraction see this as 2 wholes plus 3/4. Another name for 2 wholes is 8/4 then add the 3/4. 8/4 + 3/4 is 11/4.
Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.
Now solve for x
(2/3) (11/4) = (3/2) (2/3) w when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.
22/12 =w. I just multiplies the tops with the bottoms. Now, divide the top and the bottom by 2 and you end up with 11/6. If I divide 11 by 6, it will go into 11 one time with 5 left over. The denominator remains 6.
Answer:
Step-by-step explanation:
The area A of a rectangle of length L and width W is A = L*W. Solving this for W, we get A/L.
Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:
W = (2 3/4 yd)^2 / (1 1/2 yd)
This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.
The width of this garden is 11/6 yard, or 1 5/6 yard.
HELP ASAP!!!!!!!!!!!!!!!
Answer:
38 degrees
Step-by-step explanation:
Since angles KLO and OLM are supplementary, they add up to 180 degrees
So, angle OLM is 180-134=46 degrees
Similarly, angles OMN and OML are supplementary, so they also add up to 180 degrees
So, angle OML is 180-84=96 degrees
You also know that the angles of a triangle sum up to 180 degrees
So, 46+96+x=180
180-142=38
x=38 degrees
A music shop sold twenty five $50.00 radios at a profit of 8% and six $30.00 radios at a loss of 15%. How much was the profit or loss on the combined transaction?
Answer:
Step-by-step explanation:
the original price would be $80.00
50.00*0.08 = 4 50.00-4 = 46.00
46.00 for 25 radios with 4 cash back
30.00*0.15= 4.5 30.00- 4.5 = 25.50
total is 71.50
Here is a tree diagram showing the sample space for two independent events. What is the probability of getting a total of 13 or more?
Using it's concept, there is a 0.6667 = 66.67% probability of getting a total of 13 or more.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the tree diagram, there are 9 outcomes, of which 6 result in a total(first node + second node) of 13 or more, hence the probability is:
p = 6/9 = 0.6667.
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List three solutions for the inequality x ≤ 3 and give three
numbers that are not solutions.
Answer:
2
1
0
Not:
4
9
1921131
Step-by-step explanation:
x needs to be equal or less than 3. It doesn't say that x cannot be negative so any number 3 and below is fine.
Not solutions would be any number above 3 in value
The three solutions for the inequality are 1, 2, and 3.
And, the three numbers that are not solutions are 4, 5, and 6.
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
x ≤ 3
Now from the given inequality x ≤ 3,
The solution of the inequality is a number that is less or equal to 3.
Hence the possible three solutions for the inequality are,
x = 1, 2, 3
And, the three numbers that are not solutions are,
4, 5, and 6.
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SCIENTIFIC NOTATION 8TH GRADE MATH KA- CORRECT ANSWERS ONLY PLS :)))) have a great day folks
Answer:
4.82[tex]*10^{-4}[/tex]
Step-by-step explanation:
0.000082 + 0.0004 = 0.000482 = 4.82[tex]*10^{-4}[/tex]
PLEASE ANSWER: A music shop sold twenty five $50.00 radios at a profit of 8% and six $30.00 radios at a loss of 15%. How much was the profit or loss on the combined transactions?
Answer:
it's 1 the answer is
Step-by-step explanation:
how I got it I did 2 x2 is 4 and 1÷1 is 1 so if I do 1x1 it is 1
please help me with this math question Graph this line using the slope and y-intercept:
Answer:
(8,1) (15,2) (22,3) (29,4) (36,5) (43,6)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation y=7x+1 is written in slope intercept form. That would be:
y=mx+b
m is the slope
b is the y intercept, or where the line first is seen on the y axis.
Because b=1, the y intercept is 1.
Because m=7, the slope is 7.
STEP 1: GRAPH THE Y INTERCEPT.
Since b=1, the line crosses the y intercept when y=1. So graph y=1 on the coordinate plane.
STEP 2: GRAPH THE SLOPE
Do this by going up 7, then right 1. Because 7 is a positive number, you go up.
hope this helps !!! brainliest would be appreciated :D
Write an equation to represent the situation:
"Blake owed his sister $35. He gave her a $20 bill, so
now he only owes her $15.
Answer: not 100% but 35-20=x or 35-20=15
Step-by-step explanation:
Finnish the sentences based off the graph
Thanks :) 30 points!!!
Answer:
Step-by-step explanation:
2. y interecept --> y = 1
3. pi
4. 1, 0
Pls help I still don’t understand this topic
You know the height of a chair and the distance of the leg from the other chair, but you don’t know the length from the chair leg to the other leg you need to replace. What is the length of the leg? .Does this make seanse for project option 1 in 03.02
Answer:
a
Step-by-step explanation:
Answer this. Show your work. Worth 15 points. Under 1 day. URGENT.
===========================================
Work Shown:
C = circumference = 40 inches
d = diameter
[tex]C = \pi*d\\\\C \approx 3.14*d\\\\40 \approx 3.14*d\\\\\frac{40}{3.14} \approx d\\\\d \approx \frac{40}{3.14}\\\\d \approx 12.73885\\\\d \approx 13\\\\[/tex]
Be careful. Technically 12 inches is the largest diameter Tanya can use since 3.14*12 = 37.68 is under 40; while 3.14*13 = 40.82 is slightly over 40
So if I was the teacher, I would have said "round down to the nearest inch".
100 POINTS+BRAINLIEST: 8TH GRADE MATH PT 3- Write equations by simplifying polynomials Tyyy
((offensive answers or ones for the sake of points will be reported))
Answer:
d. 3x + 6 = 26
Step-by-step explanation:
Definitions
Integer: a whole number that can be positive, negative or zero.The sum of three consecutive even integers
Let x be the first even integer.
As there is a difference of 2 between consecutive even integers, the next even integer after x will be (x + 2).
Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive even integers is twenty-six" is:
x + (x + 2) + (x + 4) = 26
To solve
⇒ x + (x + 2) + (x + 4) = 26
⇒ x + x + 2 + x + 4 = 26
⇒ 3x + 6 = 26
(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).
PLEASE: Find The Ending Balence
1. $939 at 8% for 6 years
2. $823 at 3% for 9 years
3. $269 at 1# for 3 years
Using exponential functions, the ending balances are given as follows:
1. $1,490.07.
2. $1,073.83.
3. $358.04.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.Item a:
The parameters are:
A(0) = 939, r = 0.08, t = 6.
Hence the balance is:
[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]
Item b:
The parameters are:
A(0) = 823, r = 0.03, t = 9.
Hence the balance is:
[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]
Item c:
The parameters are:
A(0) = 269, r = 0.1, t = 3.
Hence the balance is:
[tex]A(9) = 269(1.1)^3 = 358.04[/tex]
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A card is chosen at random from a standard deck.
What is the probability of choosing a red card
that is not a queen?
(A) 1/13
(B) 3/26
(C) 6/13
(D) 51/52
Answer:
6/13
Step-by-step explanation:
There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.
Is this correct?
A boy earned $50. He saved $42 and used the rest to buy some text books. How much was each text book if he bought 4 texts books
Answer:
each book was 2 dollars
Explanation:
boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .
hope it helps and Is what ur looking for.
again i am timed. The perimeter of a rectangle is 80 centimeters. Which set of measurements could be the length and width of the rectangle? A. 20 centimeters and 18 centimeters B. 25 centimeters and 12 centimeters C. 26 centimeters and 14 centimeters D. 28 centimeters and 16 centimeters
Answer:
Option C; 26cm by 14 cm
Step-by-step explanation:
If the two spinners below are spun, what is the probability that the numbers will add to more than 7?
Answer:
0
Step-by-step explanation:
There are 12 possible outcomes, but no outcome will result in a sum greater than 7. So the probability is 0/7 = 0.
1 1
1 2
1 3
2 1
2 2
2 3
3 1
3 2
3 3
4 1
4 2
4 3
HELP NEEDED ASAP PLEASE !!!!!!!!!!
Divide 17.9 by 2.38. Round your answer to the nearest tenth.
0.7
7.5
0.8
7.6
Answer:
7.5
Step-by-step explanation:
You divide 17.9 by 2.38. That would give you 7.521008403361345.
Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.
Hope that helps!! Have an amazing day!!
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)
also daM, that's a lot of calls
Step-by-step explanation:
Answer: 60 local calls bcz you remove the other 2 charges then divide by .25
Step-by-step explanation:
John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its width. He will spend $1,584 on fencing for the field at a cost of $4.80 per meter. He also needs to buy sweetgrass seed to plant in the field. The seed costs $3.98 per bag and each bag covers 460 square meters. If John has $1,600, is this enough money to purchase the fence and all the seeds needed to plant in this field?
Answer: The total money invested in the field will be $1,623.80
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
Answer:
Step-by-step explanation:
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
Zoe is doing a survey to find the time her classmates spend playing video games. She asks the following question:
Which student spends the most time playing video games?
Describe the data you would expect her to collect from this question. (5 points)
Answer:
Step-by-step explanation:
I would expect her to find out how long each classmate spends playing video games. Then, I'd expect her to use this information and put it into a bar chart so that she can compare the numbers and find the biggest one, or who spends the most time playing video games.
Here's a random example:
Let's say she has 4 classmates, Zoe, Robert, John, and Taylor.
Zoe: 2 hours on video games
Robert: 6 hours on video games
John: 1 hour on video games
Taylor: 4 hours on video games
Then, i'd put this information into a bar chart. The screenshot is a random reference of what a bar chart looks like.
Answer: just find how much time each one spent , put it on a chart and yh
Step-by-step explanation:
HELP ASAP!!!!!!!!!!!!!
Answer:
34 (looking at the image im kinda unsure of my answer cuz 4*34=136 and that doesn't look like 136)
Step-by-step explanation:
angle TSU = angle PSR = 4x
from that we know that PSQ=x
so then we know PQS=180-2x
180-2x+68=180
2x=68
x=34