Answer:
Answer: so the answer is 80 miles per 0.8 Step-by-step explanation: consistence
True or false When factoring a trinomial you multiply the a and C factor
which equations represents the line that pases through points (1,-5) and (3, -17)?
Answer:
y= -6x +1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.
In order to find the equation of a line, you would need 2 things:
① Gradient (← can be found)
② Coordinate (✓ we have 2 coordinates here)
To find the gradient, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6[/tex]
Substitute the value of m into the equation:
y= -6x +c
To find the value of c, substitute a pair of coordinates.
When x=1, y= -5,
-5= -6(1) +c
c -6= -5
c= 6 -5
c= 1
Thus, the equation of the line is y= -6x +1.
How many solutions does this equation have? 4x+(-3x+2)=2x+5-2
Answer:
One Solution
Step-by-step explanation:
So we have the equation:
[tex]4x+(-3x+2)=2x+5-2[/tex]
On both sides, combine like terms:
[tex](4x-3x)+2=2x+(5-2)[/tex]
Simplify:
[tex]x+2=2x+3[/tex]
Subtract x from both sides. The left cancels:
[tex](x+2)-x=(2x+3)-x\\2=x+3[/tex]
Subtract 3 from both sides. The right cancels:
[tex](2)-3=(x+3)-3\\-1=x[/tex]
Flip:
[tex]x=-1[/tex]
So, our equation only has one solution.
And the answer is -1 :)
help please! I will give brainliest thank you!
Answer:
1. 8
2.0.8
3. 1.4
9 3/4 divided by 4 1/8 As a simplest form
Answer:
2 4/11
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
26/11
Decimal Form:
2.36
Mixed Number Form:
2 4/11
Answer:
2 4/11
Step-by-step explanation:
Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ± 18 C) x = − 324 D) x = ± 324
Answer:
A
Step-by-step explanation:
x = 18
Burn is to ointment as grief is to
?
O Sorrow
O Adversity
O Consolation
Pity
O Sympathy
Answer:The answer is Sympathy
Step-by-step explanation:
The correct answer is Consolation
If we look at the flow of the first sentence, ointment is the instrument that is used to soothe a burn.
The implication of this is that we also need to find the word that best describes that which can be used to soothe grief.
When a person is grieving, such a person is in need of consolation hence the correct answer is consolation.
For more about the meaning of the word consolation, see
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Find the value of x in the equation below. 60 = 10 x
Answer:
Just do 60 divided by 10
Step-by-step explanation:
60=10 x 10 times 6 = 60 so x=6
Answer: [tex]x=6[/tex]
Divide both sides by 10
[tex]10x=10=60/10\\x=6[/tex]
There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to the number of students in the class?
Answer:
1:7
Step-by-step explanation:
1 teacher for every 7 kids
Ivan also decides to try putting together the “Multiples of 3” set from the numbers sitting around. How can he know if a number is a multiple of 3? (Hint: Build a lot of different multiples of 3. Then look at the sum of the digits of each number.
Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...
The two digit numbers in that list above all have their digits adding to some other multiple of 3
1+2 = 31+5 = 61+8 = 92+1 = 32+4 = 62+7 = 93+0 = 33+3 = 63+6 = 9and so on.
Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.
What are the coordinates of A'?
Answer:
(6,-2)
Step-by-step explanation:
The picture as shown, A would be flipped across the line which leaves it landing on (6,-2)
Hope this helped you :)
Solve 8x − 2(x + 1) = 7x + 8. 6 −6 10 −10
Answer:
x = -10
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
8x - 2(x + 1) = 7x + 8
Step 2: Distribute
8x - 2x - 2 = 7x + 8
Step 3: Combine like terms
6x - 2 = 7x + 8
Step 4: Subtract 6x on both sides
-2 = x + 8
Step 5: Subtract 8 on both sides
-10 = x
Step 6: Rewrite
x = -10
solve for x = 2 ÷ 12⁻¹
Answer:
x = 24
Step-by-step explanation:
x = 2 ÷ 12⁻¹
x = 2 * 12
x = 24
Answer:
x = 24
Step-by-step explanation:
The applicable rule of exponents is ...
1/a^-b = a^b
__
The problem simplifies to ...
x = 2 ÷ 12^-1 = 2 · 1/12^-1
x = 2 · 12^1 = 2·12
x = 24
Use the Distributive Property to complete the equation and find the product. 8 × (300 + 60 + 2) = × 300 + × + × 2 8 × (300 + 60 + 2) = + 480 + 16 8 × (300 + 60 + 2) =
Answer:
2596
Step-by-step explanation:
your question set up is kind of confusing but heres an answer anyway
8(300 + 60 + 2) =
8 • 300 = 2100
8 • 60 = 480
8 • 2 = 16
2100 + 480 + 16 = 2596
20 POINTS FOR BRAINLIEST!! The graph shows Marc's individual and cumulative tips for 7 days Which day gave Marc the sharpest boost in accumulated tips? A): Day 1 B): Day 2 C): Day 3 D): Day 4
The answer is Day 3. The blue bar for day 3 is the tallest, which means that was the highest amount.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
Given that, the graph shows Marc's individual and cumulative tips for 7 days.
We need to find which day gave Marc the sharpest boost in accumulated tips.
What are bar graphs?Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data. They are also known as bar charts. Bar graphs are one of the means of data handling in statistics.
Now, in the given graph we can see that on day 3 tip is more.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
To learn more about the bar graphs visit:
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Ship A and Ship B are 120 km apart when they pick up a distress call from another boat. Ship B estimates that they are 70 km away from the distress call. They also notice that the angle between the line from ship B to ship A and the line from ship A to the distress call is 28°. What are the two possible distances, to the nearest TENTH of a km, from ship A to the boat?
Answer:
The two possible distance are 147.5km and 64.4km
Step-by-step explanation:
Given
See Attachment for Illustration
Required
Determine the possible distance of ship A from the boat
The distress is represented by X;
So, the question requires we calculate distance AX;
This will be done using cosine formula as follows;
[tex]a^2 = b^2 + x^2 - 2bxCosA[/tex]
In this case;
a = 70;
b = ??
x = 120
A = 28 degrees
Substitute these values in the formula above
[tex]70^2 = b^2 + 120^2 - 2 * b * 120 Cos28[/tex]
[tex]4900 = b^2 + 14400 - 2 * b * 120 * 0.8829[/tex]
[tex]4900 = b^2 + 14400 - 211.9b[/tex]
Subtract 4900 from both sides
[tex]b^2 + 14400 - 4900 - 211.9b = 0[/tex]
[tex]b^2 + 9500 - 211.9b = 0[/tex]
[tex]b^2 - 211.9b + 9500 = 0[/tex]
Solve using quadratic formula
[tex]\frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Substitute 1 for a; -211.9 for b and 9500 for c
[tex]b = \frac{-(211.9)\±\sqrt{(211.9)^2 - 4 * 1 * 9500}}{2 * 1}[/tex]
[tex]b = \frac{211.9\±\sqrt{44901.61 - 38000}}{2}[/tex]
[tex]b = \frac{211.9\±\sqrt{6901.61}}{2}[/tex]
[tex]b = \frac{211.9\±83.08}{2}[/tex]
This can be splitted to
[tex]b = \frac{211.9+83.08}{2}[/tex] or [tex]b = \frac{211.9-83.08}{2}[/tex]
[tex]b = \frac{294.98}{2}[/tex] or [tex]b = \frac{128.82}{2}[/tex]
[tex]b = 147.49[/tex] or [tex]b = 64.41[/tex]
[tex]b = 147.5km\ or\ b = 64.4km[/tex]
Hence, the two possible distance are 147.5km and 64.4km
Please Help! I'm stuck!
Answer:
See attached image
Step-by-step explanation:
If you have two marbles in a bag and you are choosing the marbles randomly twice, then we can look at fractions.
Each time, you have a 0.5 chance of picking the silver marble. After you pick that, you have another 0.5 chance of picking the silver marble again.
This applies with any combination.
This means that the probability of you getting two silvers in a row is 0.25.
Since the marbles are the same size and nothing is stopping you from choosing one, this probability applies to all combinations possible.
Hope this helped!
In a small town, 68% of the people owned television,72 %owned radio and 12 % owned neither television nor radio .represent the answer on a venn diagram.(ii) what percentage of the population owned television?
Answer:
indelox reader is on PPF 5% HP in in Alok
Step-by-step explanation:
when the 58 words we get a Goriya 50% town population
ayyyyyyyyyyyyyyyy i need some help lease
Answer:
.95
Step-by-step explanation:
Elise has an account balance of -115 dollars. Which of the following represents a greater amount of debt than-115
dollars?
O dollars
-115 dollars
-105 dollars
-125 dollar
Answer:
-125 dollars.
Step-by-step explanation:
When dealing with negatives, the smaller the numerical number (remember, with the negative attached), the greater the number.
Meaning, -1 will be greater than -100.
In this case, Elise has an account balance of -$115, or that she owes $115.
Look at each answer choice:
$0: In this case, it means that Elise paid the bank back $115, and that she has a zero balance account. She neither has money nor owes any.
-$115: In this case, it means that she owes $115.This means that there was no change to the balance.
-$105: In this case, it means that she owes $105. Since this is $10 less than the amount she previously owed, it means that she paid $10 into the bank account.
-$125: In this case, it means that she owes $125. Since this is $10 more than the amount she previously owed, it means she overdrew once again, or was charged for failing to pay. This is your answer choice.
~
The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width, find the dimensions of the garden
Answer:
width=16
length=38
Step-by-step explanation:
perimeter of a rectangle=2(length+width)
108/2=length+ width
54=length+ width
54-width=length
also:
length-6= 2×width
length=2width +6
now you can put the length we found, in the second equation:
54-width=2width+6
54-6=2width+width
48=3width
width=16
now do the exact same thing with one of the equations we created in the beginning.
either this:
54-width=length
or this:
length=2width +6
as the 1st one is simpler, I use that:
54-(16)=length
length=38
What is the absolute value of -1/4
Answer:
1/4
Step-by-step explanation:
Absolute values are always positive.
The absolute value is |1/4|
To understand this let's first understand the definition of absolute value.
Absolute value - The non-negative value of a number without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
Therefore the absolute value of -1/4 is just 1/4.
Also, remember that to indicate that it's the absolute value you have to add a " | " before and after the number. Like this |1/4|
Hope this helped ~
What is 5 + 5 + 9 + 3 - 10 x 4 - 8 + 9 - 7 - 1 + 9 x 6
Answer:
29
Step-by-step explanation:
3.5x + y - 10.2x + 2.3y =
Answer:
-6.7x + 3.3y
Step-by-step explanation:
Step 1: Write out expression
3.5x + y - 10.2x + 2.3y
Step 2: Combine like terms (x)
-6.7x + y + 2.3y
Step 3: Combine like terms(y)
-6.7x + 3.3y
Answer:
3.3 y - 6.7 x
Step-by-step explanation:
Rewriting for clarity.
(2.3y + y) + (3.5x - 10.2x)
(3.3y) + (-6.7x)
3.3y - 6.7x
A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, there can be 0 interactions. If there are 2 children, there can be 3 interactions. If there are 3 children, there can be 9 interactions. If there are 4 children, there can be 18 interactions. How many interactions will there be for 9 children?
Answer:
There will be 108 interactions for 9 children.
a. How many ways can the letters of the word ALGORITHM be arranged in a row?
b. How many ways can the letters of the word ALGORITHM be arranged in a row if A and L must remain together (in order) as a unit?
c. How many ways can the letters of the word ALGORITHM be arranged in a row if the letters GOR must remain together (in order) as a unit?
Answer:
a). The number if ways it can be arranged in a row= 362880 ways
b). 40320 ways
c). 5040 ways
Step-by-step explanation:
There are 9 alphabets in the word ALGORITHM
The number if ways it can be arranged in a row= 9!
The number if ways it can be arranged in a row= 9*8*7*6*5*4*3*2*1
The number if ways it can be arranged in a row= 362880 ways
if A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
= 8*7*6*5*4*3*2*1
= 40320 ways
if the letters GOR must remain together (in order) as a unit, then we have 7 alphabets units remaining
= 7!
= 7*6*5*4*3*2*1
= 5040 ways
a). The number of ways it can be arranged in a row= 362880 ways.
b) The number of ways should be 40320 ways.
c) The number of ways should be 5040 ways.
Calculation of the number of ways:a. Since There are 9 alphabets in the word ALGORITHM
So, The number of ways it can be arranged in a row= 9!
[tex]= 9*8*7*6*5*4*3*2*1[/tex]
= 362880 ways
b. In the case when A and L must remain together (in order) as a unit, then we take it as 8 alphabets
= 8!
[tex]= 8*7*6*5*4*3*2*1[/tex]
= 40320 ways
c. In the case when the letters GOR must remain together (in order) as a unit, so we have 7 alphabets units remaining
= 7!
[tex]= 7*6*5*4*3*2*1[/tex]
= 5040 ways
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The iPhone6s Plus is on sale for 15% off the onginal price. The sale pnce is $901. What was the ongina price? (Hint: The sale pnce is always a part of the whole)
Answer:
$1315.15
Step-by-step explanation:
x=901 * 0.15
Original price * the discount gives you your original price
Please answer correctly will mark brainliest
a wool suit discounted by 30% for a clearance sale, has a price tag of $199. what was the suit's original price
Answer:
$284.29Step-by-step explanation:
Let the original price be x
The discounted price for a clearance sale = 30% of x
If the price tag after discounting = $199.
Using the relationship to find the original price x
Original price - discounted price = Current price tag after discounting
x - 0.3x = 199
0.7x = 199
Divide both sides by 0.7
0.7x/0.7 = 199/0.7
x = $284.29
Hence the suit's original price is approximately $284.29
Which of the following pairs of fractions with a common denominator are equivalent to 1/4 and 2/5?a. 5/20, 8/20b. 1/20, 2/20c. 1/9, 2/9d. 5/20, 4/20
Answer:
a. 5/20, 8/20
Step-by-step explanation:
1/4 and 2/5
a. 5/20, 8/20
5/20
Divide both numerator and denominator by 5
= 1/4
8/20
Divide both numerator and denominator by 4
= 2/5
b. 1/20, 2/20
1/20 =1/20
2/20
Divide both numerator and denominator by 2
= 1/10
c. 1/9, 2/9
Both fractions can't be further simplified
= 1/9, 2/9
d. 5/20, 4/20
5/20
Divide both numerator and denominator by 5
= 1/4
4/20
Divide both numerator and denominator by 4
= 1/5
The correct answer is a. 5/20, 8/20
= 1/4, 2/5
5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
We are ask to find the equivalent of the pairs of fractions with a common denominator 1 /4 and 2 / 5.
The logic is to reduce by dividing the options with same numerator and denominator to get the equivalent of the fraction required.
Therefore,
5 / 20 and 8 / 20
5 / 20 ÷ 5 / 5 = 1 / 4
8 / 20 ÷ 4 / 4 = 2/5
Base on the answer you can see that when we reduced option A fractions, they are the same with the required fractions.
Therefore, 5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
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