The quotient is the result obtained by dividing one quantity by another.
This means that b/-6 = 18
b = 18*-6
b = -108
Answer:
b = -108
Step-by-step explanation:
Given the mathematical expression, "The quotient of b and -6 is 18":
We could represent the given mathematical expression as follows:
b ÷ -6 = 18 or [tex]\frac{b}{-6} = 18[/tex] .
In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:
[tex]\frac{b}{-6} = 18[/tex]
[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]
b = -108
In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:
[tex]\frac{-108}{-6} = 18[/tex]
18 = 18 (True statement).
The value of b = -108, hence, the quotient of -108 and -6 is 18.
Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?
Answer:
Step-by-step explanation:
The third side could have dimension x
32 - 27 < x < 32 + 27
5 < x < 59
There are a few special triangles
Equilateral triangle could have legs
27, 32, 27
or
32, 27, 32
A right triangle could have the third side
√(27² + 32²) = √1753 which is about 41.87
or
√(32² - 27²) = √295 which is about 17.18
Notice all these fit within the original limits specified.
Answer:
The third side is greater than 5 but less than 59.
Step-by-step explanation:
Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.
So 27 and 32 The given two sides
32 - 27 = 5 Greater than the difference (greater than 5)
32 + 27 = 59 Less than the sum (less than 59)
There are 2 pigs, 3 chickens, 4 cows and 5 ducks on a farm. If the farmer wants 3 animals
for a play but only needs one two-legged animal, how many ways can he choose the three animals?
Answer:
6 ways
Step-by-step explanation:
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
The farmer can choose the animal in 6 ways as per different combinations.
Solution to the above problem
The different combinations can be written as follows:
nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time
Since we want 3 animals we can make different pairs as listed below
1: 2 pigs, 1 chicken
2: 2 pigs, 1 duck
3: 1 pig, 1 cow, 1 chicken
4: 1 pig, 1 cow, 1 duck
5: 2 cows, 1 chicken
6: 2 cows, 1 duck
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Combined, there are Asians, Africans, Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by . The difference between the number of Europeans and Americans is . If the number of Africans is doubled, their population exceeds the number of Europeans and Americans by . Determine the number of Asians, Africans, Europeans, and Americans in this village
There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:
A.S + A.F + E.U + A.M = 177 A.S = A.F + E.U + 69 E.U - A.M = 13 E.U = A.M + 13 2A.F = E.U + A.M + 29 A.F + E.U + 69 + A.F + E.U + A.M = 177 A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177 2A.F + 3A.M = 177 - 13 - 13 - 69 E.U + A.M + 29 + 3A.M = 82 A.M + 13 + A.M + 29 + 3A.M = 82 5A.M = 82 - 13 - 29 A.M = 40/5 A.M = 8 E.U = 8 + 13 = 21 A.F = (21 + 29) / 2 = 25 A.S = 177 - 25 - 21 - 8 = 123
Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
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convert this fraction to a decimal 1/200
Answer:
0.005
Step-by-step explanation:
–42 >7f +3 what is f
Answer:
[tex]\displaystyle f < \frac{-45}{7}[/tex]
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle -42 > 7f + 3[/tex]
Step 2: Solve for f
[Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides: [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite: [tex]\displaystyle f < \frac{-45}{7}[/tex]Topic: Algebra I
Unit: One-Variable Equations
What is the value of k? M 1150 Y Z (4k + 5) (6k + 10) X
I need help ASAP
Check the picture below.
phone company offers to monthly plans. Plan a cost $11 plus an additional $.19 for each minute of calls. Plan B cost $16 plus an additional $.15 for each minute of calls
Answer:
whats the question I can't help without a question
Subtract.
7 1/5−(−3/5)
Enter your answer in the box as mixed number in simplest form.
Answer:
7 4/5
Step-by-step explanation:
when you subtract, keep the first value then change subtract to addition and, finally, change the sign of the second value
this problem, 7 1/5 -(-3/5) is the same as this addition problem:
7 1/5 + 3/5
this equals 7 4/5
HELP ME I WILL GIVE POINTS
Answer:
1. 32
3. -11
Step-by-step explanation:
(To meet character limit)
Answer:
1.) 35
2.) -20
Step-by-step explanation:
Find the area of the triangle
= (1/2 × 6 × 4) square units
= (3 × 4) square units
= 12 square units
Answer:The area of the triangle is 12 square units.
Hope it helps.
Do comment if you have any query.
=================================================
Explanation/Solution:First, Identify what is the height and base of the triangle.
[tex] \rightarrow [/tex] Height = 4 units
[tex] \rightarrow [/tex] Base = 6 units
[tex] \\ [/tex]
Now to find the area of the triangle, use the formula:
[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]
Solve.
[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]
[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]
[tex] \rightarrow [/tex] = 12
Therefore, the area of the triangle is 12 units.
=================================================
#CarryOnLearning
Would love it if your able to help me :)
Answer:
x = 2.83163
Step-by-step explanation:
Have a nice day!
and if you have questions on how I found it please ask.
Write an explicit formula for each sequence given below.
Part A
1,-10, 100,-1,000, 10,000
Explicit Formula: In =
Part B
10.2, 2.2, -5.8, -13.8, -21.8
Explicit Formula: an =
Answer:
The first five values are 12, 14, 16, 18 and 20
The recursive formula is as follow
Step-by-step explanation:
Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.
For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer
The first five values are 12, 14, 16, 18 and 20
A recursive formula is one that
a) Mentions the initial term
b) provides a formula connecting the previous term to the existing term.
Since we know the first term is 12, i.e and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas
The over all formula is as follow
Step-by-step explanation:
Hope this helps:)
rlly quick what's the answer to this?
Answer:
4, which is A
Step-by-step explanation:
Answer:
first we divide 256 divided by 16 =
16
then we square root it to get
4(a)
Hope This Helps!!!
Help asap will give 40 points
Answer: 1/3
Step-by-step explanation:
Please answer all these question
Answer:
it's 10.00 because I used a calculator
15 mm
4. You are decorating the Red Cross logo
shown for a float in a parade.
a) The Red Cross logo consists of 5 congruent
squares. Find the area of the Red Cross logo.
+
b) You estimate that on average a red carnation
will cover 2 square inches and a red rose will cover
3 square inches. How many roses do you need to
cover the logo on the float?
36 in
c) You are on a budget. Carnations cost $1.00 and
roses cost $1.50. Should you cover the logo with
carnations or roses? Justify your answer.
given the sequence tn defined recursively below, find t4.
Answer:
[tex]t_4 = 20[/tex]
Step-by-step explanation:
The base case in the recursive function are:
[tex]t_1 = 1[/tex]
[tex]t_2 = 2[/tex]
The recursive case is equal to:
[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]
So replace [tex]t_n[/tex] for [tex]t_4[/tex]:
[tex]t_4 = 2t_{3} + 3t_{2}[/tex]
In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]
[tex]t_3 = 2t_{2} + 3t_{1}[/tex]
[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:
[tex]t_3 = 2(2) + 3(1) = 7[/tex]
Now return to [tex]t_4[/tex] and replace for the new values:
[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]
So the final answer is 20
which of the following best describes the graph below?
plssss help!!
if f(x)= -2x^3 +14-8
if g(x)= 2x+6
find p(x) and g(x)
hurry upp please
Answer:x=3
Step-by-step explanation:
License plates in the great state of Utah consist of 2 letters and 4 digits. Both digits and letters can repeat and the order in which the digits and letters matter. Thus, AA1111 and A1A111 are different plates. How many possible plates are there?
Answer:
Step-by-step explanation:
The correct option is 3. Step-by-step explanation: It is given that License plates in the great state of Utah consist of 2 letters
simplify the expression 5 (6 + 7 and) using the distributive property
Answer:
65
Step-by-step explanation:
5(6 + 7)
Distribute 5 to 6 and 7.
(5x6)+(5x7)
Multiply.
30+35
Add.
65
Hope this helps :)
please help me w my khan academy
Answer:
in armed forces is .15%
military dependant is 3%
and civilian is 96%
Step-by-step explanation:
hope this helps! ❄︎
Complete the table using the equation y = 8x + 9.
Answer:
×=9-y
Step-by-step explanation:
you can do it believe in your self
Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current
Answer:
3 miles/hour
Step-by-step explanation:
Well, we already know that the speed at which he paddles is 6 miles/hour
Since his net speed while going down stream is his speed plus the current's speed, here's what we have:
NetSpeed = HisSpeed + CurrentSpeed
Replace the values we already know:
9 = 6 + x
X = 3 miles/hour
An equation that can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x).
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
Ricky paddles his canoe at a rate of 6 miles per hour in still water.
Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.
The trip took him 4 hours to complete.
The downstream rate = 4 + x
And the upstream rate = 4-x.
Then an equation can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x)
Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).
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Help, with my homework. Please represent 2x^-5x-12 using algebra tiles
Answer:
2−4−12
Step-by-step explanation:
Choose all options that apply.
Hey there!
Guide ⬇️
• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.
• Tablespoon: a abundant (huge) sized spoon that’s used for serving.
• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.
• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.
Based on that information the one that seems closer to the RIGHT answer is:
[Option A. Cup]
[Option B Tablespoon]
[Option D. Fluid Ounce]
Random fact:
• [1 (US) CUP] is approximately [8 (US) OUNCE]
• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)
• [1 FLUID OUNCE] is approximately [28.35 GRAM]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
9514 1404 393
Answer:
a. cup
b. tablespoon
d. fluid ounce
Step-by-step explanation:
The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...
teaspoons
tablespoons (= 3 teaspoons)
fluid ounces (= 2 tablespoons)
cups (= 8 fluid ounces)
pints (= 2 cups)
quarts (= 2 pints)
gallons (= 4 quarts, = 231 cubic inches)
(oil) barrels (= 42 gallons)
and the measurements based on length:
cubic inch
cubic foot (= 1728 cubic inches)
cubic yard (= 27 cubic feet)
acre-foot (= 43560 cubic feet)
__
Above are the fluid measurements. In the US system, there are also dry measures that include ...
gallon (= 268.8025 cubic inches--different from fluid gallon)
peck (= 2 gallons)
bushel (= 4 pecks)
True or False: This table describes a linear function.
XY
1 5
2 8
3 10
Answer:
False
Step-by-step explanation:
The slope is not constant
Simplify. 3x+4(x+3)+2
7x + 14
4x + 9
3x + 9
7x + 5
HELP ASAP
Answer:
7x + 14
Step-by-step explanation:
7x+14 is the correct awnser if you look at the question correctionly their notifying you:
simplify:
it so it would be the last subject 7x+14
i hope this helps
and i am 100% positive this is the correct awnser
the test was taken by me!
i hope you are happy with you answer and everyone else
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QUESTION YOU ASKED:
Simplify. 3x+4(x+3)+2
ANSWER CHOICE:
7x+14
4x+9
3x+9
7x+5
HELP ASAP
HERES MY ASAP ANSWER:
LAST ONE! D HOPE THIS HELPS!
TOOK THE TEST COULDNT HELP BUT ADD MY OPINION AND ANSWER!
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ANSWER: A
ANSWER IN WORD-FORM: x+
ANSWER SIMPLIFYED: 7x+14
im trying to sound:
FRIENDLY, INFORMAL, CONFIDENT AND MOST OF ALL HOPED HELPING
DONT GIVE UP
THE AWNSER IS 7x+14
YOU GOT THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
pls help!!!!!!!!!!!!!!!!!!!!
Answer:
72w^3
how: factor 8w^3= 2^3 times w^3
factor 9w= 3^2 times w
multiply each factor with the highest power
2^3 times 3^2 times w^3
=72w^3
How
many different possible outcomes are there if you spin 6 spinners labeled Red,
Blue, Yellow?
Answer:
Step-by-step explanation: