Consider the division of 8y2 - 12y + 4 by 4y.
What are the values of a and b?
8y? - 12y+4
4y
872
4y
- 12V +
+
4
47
4
= a +b+
O a = 2y and b = 3
O a= and b = -3y
O a = 2y and b = -3
O a- } a
o a= 2 and b = 3y
Answers
Answer:
Step-by-step explanation:
Notice that the dividend has tree terms with , , c
Now, to divided our dividend by the monomial (single term) , the easiest thing to do is divide each term of the dividend by the monomial:
÷ =
After performing the division we get that now and
We can conclude that the correct answer is a = 2y and b = –3
Related Questions
Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.
Answers
Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation:
fractions are equal to 12 /18 is
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
2/3 = 4/6 = 6/9 = 8/12
= 10/15 = 12/18 = 14/21 = 16/24
= 18/27 = 20/30 = 22/33 = 24/36
= 26/39 = 28/42 = 30/45 = 32/48
= 34/51 = 36/54 = 38/57 = 40/60
= 42/63 = 44/66 = 46/69 = 48/72
= 50/75 = 52/78 = 54/81 = 56/84
= 58/87 = 60/90 = 62/93 = 64/96
= 66/99 = 68/102 = 70/105 = 72/108
= 74/111 = 76/114 = 78/117 = 80/120
= 82/123 = 84/126 = 86/129 = 88/132
= 90/135 = 92/138 = 94/141 = 96/144
= 98/147 = 100/150 = 102/153 = 104/156
= 106/159 = 108/162 = 110/165 = 112/168
= 114/171 = 116/174 = 118/177 = 120/180
= 122/183 = 124/186 = 126/189 = 128/192
= 130/195 = 132/198 = 134/201 = 136/204
= 138/207 = 140/210 = 142/213 = 144/216
= 146/219 = 148/222 = 150/225 = 152/228
= 154/231 = 156/234 = 158/237 = 160/240
= 162/243 = 164/246 = 166/249 = 168/252
= 170/255 = 172/258 = 174/261 = 176/264
= 178/267 = 180/270 = 182/273 = 184/276
= 186/279 = 188/282 = 190/285 = 192/288
= 194/291 = 196/294 = 198/297 = 200/300
Here is a diagram and its corresponding equation. Find the solution to the equation.
4(+7)=38
Answers
Answer:
The solution to the equation is:
x = 2.5 or x = 5/2Step-by-step explanation:
To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:
Equation: 4(x+7) = 38And we solve:
4x + 28 = 38 (we multiply 4 by x and 7)4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)x = 2.5 (we divide)As you can see, the solution of the equation is x = 2.5 or x = 5/2
If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?
Answers
Answer:
[tex]x = 1.5[/tex]
[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]
Answer:
x = 1.5
Step-by-step explanation:
[tex]\frac{9}{36} :\frac{x}{6}[/tex]
Cross multiply.
36 · x = 9 · 6
Simplify.
36x = 54
Divide each side by 36.
36x ÷ 36 = 54 ÷ 36
Simplify.
x = 1.5
Find the measure of the arc TDB in the circle P shown below:
Answers
[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.
So,
[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]
[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex][tex] \mathrm{\angle TDB =45 \degree } [/tex]_____________________________
[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]
Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.
Answers
Answer:
I think that the answer is true (explanation might not be 100% accurate)
Step-by-step explanation:
Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.
Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?
Answers
Answer:
55 inches = 4 feet 7 inches
Step-by-step explanation:
Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches
solve 3x-y=7 for x if weird answer will report
Answers
Answer:
x = 1/3y +7/3
Step-by-step explanation:
3x-y=7
Add y to each side
3x-y+y=7+y
3x = y+7
Divide each side by 3
3x/3 = y/3 + 7/3
x = 1/3y +7/3
Answer:
x= 7/3 + y/3
Step-by-step explanation:
divide each term by 3 and simplify
Calculate the marked price (original price) if
a. After 25% discount, the price of an article is Rs 7500,
please with explanation and calculation the answer should be Rs 10 000
Answers
1) Subtract the discount percentage from 100 to get the original price percentage.
100 - 25 = 75 %
2) Now we are going to multiply the discounted price by 100.
7500 x 100 = 750,000
3) Now we are going to divide the discounted price by the original price percentage.
750,000 / 75 = 10,000
Therefore the original price is Rs 10,000
at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost
Answers
Answer:
0.20
Step-by-step explanation:
z2+4z-165=(z-11)(z+-15)
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit
Answers
Answer:
$120,000
Step-by-step explanation:
Provided that
The price of the new car is $750,000
And, the saving percent is 16%
We need to calculate out the saving amount for the deposit
Therefore, the saving amount is
= $750,000 × 16%
= $120,000
Basically we multiply these two things to each other in order to get the saving amount
Does anyone know this
Answers
Answer:
8 2/3
Step-by-step explanation:
26/3
CONVERT TO A MIXED FRACTION
8 2/3
Answer:
Step-by-step explanation:
3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]
4*3+1/4 * 8/3
13/4*8/3
13*8/4*3
104/12
26/3
not :when u change division sign into multiplication then do the reciprocal .
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.
Answers
Answer:
spinng of an odd number -50%
fliping heads - 50%
spinin an even number- 50%
Step-by-step explanation:
What is the solution to 1/2|x|=-3?
A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist
Answers
Answer:
The answer is D: No solutions exist
HELP ME OUT PLEASEEEEEEEEEEEe
Answers
Step-by-step explanation:
y = 15× tan25° = 15×0.466 = 6.99 m
r (Hypotenuse) = 15/cos25° = 15/0.906
= 16.56m
the total height = 6.99+16.56 = 23.55 m
HELPP i'll give brainliest for the CORRECT answer
Answers
Answer:
a = 105 in²
Step-by-step explanation:
Front and back, triangles
a = 2 * (1/2)(5 * 6)
a = 30
Sides, squares
a = 3 * (5 * 5)
a = 75
Total
a = 30 + 75
a = 105 in²
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
None of these
49/50
-1/2y
-2y
Answers
Answer:
-1/2y
Step-by-step explanation:
2/4 = 1/2
HELP I CANT FAIL AGAIN
Answers
Answer:
49
Step-by-step explanation:
what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)
Answers
21^2 - 15^2 = x^2
X^2 = 216
X=14.7
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answers
Answer:
$29, that is the answer for this question
PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?
2-find this area.
3-what is the area of this trapezoid?
Answers
Answer:
1) 22:14 and 11:7
2) 39m^2
3) 39cm^2
A.
B.
C.
D.
Choose the one that would not fall on this line
Answers
Explanation:
The y-coordinate of the second point is not twice of its x-coordinate, hence it does not fall on the line.
If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)
Answers
Answer: I think 100,000
Step-by-step explanation:
Which expression below has the same value?
Answers
Answer:A
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
You will want all numbers to have the same common denominator, then you can add them together.
1 = 8/8
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8
[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]
Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3
Answers
Answer:
69
Step-by-step explanation:
69
Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?
Answers
Answer:
price of 5 bags of popcorn = 3.75 x 5 = 18.75
price of 8 drinks = 5 x 8 = 40
price of p bags of popcorn = 3.75 x p
price of d drinks = 5 x d
What is the answer ?
Answers
Answer:
A. AB≈ DE
is the answer to this question
Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.
Answers
Answer:
6.5 feet
Step-by-step explanation:
The guy above me is correct its 6.5 feet
find the missing term in the sequence 3 ,-1 ,- 5 ____ -13
a. -6
b. -7
c. -9
d. -11
Answers
Answer:
C. -9
Step-by-step explanation:
The pattern is clearly subtracting 4 each time (or adding -4).
-5 - 4 = -9