9b^8 + 24b^3
= 3b^3 ( 3b^5 + 8 )
please help mathematics worksheet
Answer:
(a).
[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]
(b).
[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]
(c).
[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]
(d).
[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]
(d).
Step-by-step explanation:
a)2/5a=4/a-1
By cross multiplication:
5a×4=2(a-1)
20a=2a-2
20a-2a=-2
18a=-2
a=-2/18
a=-1/9
b)7/2d-5=9/3d+4
By cross multiplication:
7(3d+4)=9(2d-5)
21d+28=18d-45
21d-18d=-45-28
3d=-73
d=-73/3
c)3/e+1 + 1/2e+1=0
3/e+1=-1/2e+1
By cross multiplication
3(2e+1)=-1(e+1)
6e+3=-e-1
6e+e=-1-3
7e=-4
e=-4/7
d)5/2f-5-4/7f+1=0
By cross multiplication
5/2f-5=4/7f+1
5(7f+1)=4(2f-5)
35f+5=8f-20
35f-8f=-20-5
27f=-25
f=-25/27
Find the sum of the first 6 terms of the following series, to the nearest integer.
75, 90, 108, ...
hey
Answer:
StepTo find the sum of the first Sn terms of a geometric sequence use the formula
Sn=a1(1−rn)1−r,r≠1,
where n is the number of terms, a1 is the first term and r-by-step explanation:
Answer: 745
Step-by-step explanation:
[tex]The\ sequence\ is\ a\ geometric\ one.u_1=75\\u_2=90\\u_3=108\\u_4=129.6\\u_5=155.52\\u_6=186.624\\\\common\ factor\ is\ 1.2=\frac{6}{5} \\\\Sum=u_1+u_2+...+u_6=\displaystyle \sum_{i=1}^{6} 75*(\frac{6}{5})^{i-1} \\=75*\dfrac{(\frac{6}{5}) ^6-1 }{\frac{6}{5}-1 }\\\\\\=75*\dfrac{1,985984}{\frac{1}{5} } \\\\=75*9,92992\\\\=744,744\\\\\approx{745}[/tex]
write 16% as a fraction in simplest form
Answer:
4/25
Step-by-step explanation:
Answer:
16% as a fraction is 4/25
Step-by-step explanation:
Every percentage is over a 100. This means that 16% is the same as 16/100 and simplifying this it will be 4/25 ( dividing both by 4)
What is the slope of the line that passes through the points
(4,-5) and (3, 8)?
0 -3
O 13
0 -13
ANSWER ASAP!!! BRAINLIEST AWARDED
It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?
Answer:
10
Step-by-step explanation:
1:5
10:50
Answer:
10
Step-by-step explanation:
5 minutes = 1 area
→ Divide the 50 by the 5
50 ÷ 5 = 10
→ Multiply this by the area
10 × 1 = 10
(4x + 5y) - (2x + 5)
How to answer pls?
Step-by-step explanation:
(4x + 5y) - (2x+5)
impliment the negative
4x + 5y -2x -5
combine like terms
2x + 5y - 5
traditionally the x goes first but it could be y too such as 5y + 2y - 5
either one is the final answer
Answer:
2x + 5y - 5
Step-by-step explanation:
(4x + 5y - (2x + 5)
remove the brackets.
➡️ 4x + 5y - (2x - 5)
if there is a "-" in front of a form in brackets, change the sign of each term in the form.
➡️ 4x + 5y - 2x - 5
simplify terms by adding or subtracting.
➡️ 2x + 5y - 5
Mr.Lin ordered 7 cases of pencils.Each case had 148 pencils. How many pencils did Mr.Lin order in all.Use the model to solve.
Answer:
7×148= 1036
Step-by-step explanation:
This is the easiest way to solve ...
But you are asking a model to be used for solving...
No idea about it
After making several scale drawings Joseph decides on the best placement for a new grillon deck He uses a scale of 2 cm for every 5 in What is the actual area of the space for Joseph's new square inches ?
Answer:
2250
Step-by-step explanation:
The actual areas is 1125 in²
A scale drawing can be described as a drawing of an original image that is reduced by a constant proportion to the original image.
scale of the drawing = original dimensions / dimensions of the scale drawing
The scale used by Joseph = 2 cm : 5 inches
This can be simplified further by dividing by 2
1 cm : 2.5 inches
Based on the image, the dimensions of the grill are 10 cm x 18cm
The length of the actual grill = 18 x 2.5 = 45 inches
The width of the actual grill = 10 x 2.5 = 25 inches
Area of a rectangle = length x width
Area of the actual space for the grill = 25 x 45 = 1125 in²
To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults
there are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yellow marble without replacing the first one
11/20
3/7
1/5
Answer:
1/5
Step-by-step explanation:
the prob that you will pick a blue marble would be 12/16, easy.
then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.
the answer is 1/5
hope that solve your problem for whoever gets this question
At a coffee sale held one day in 2004 ,the average price of 50 kg bag of coffee was sh 2422.90 . What was the cost of 1 kg of coffee (Give your answer to the nearest 10 cent)
Answer: $ 48.46
Step-by-step explanation:
If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?
50/1 = 2422.90/x (cross multiplication)
48.46
Seven less than the product of 8 and a number equals 4
Answer:
11/8 or 1 3/8 or 1.375
Step-by-step explanation:
From the information given by the question, we can form an equation:
Let us call the number 'n'
8 × n - 7 = 4
We then move the 7 to the other side, changing it from minus to plus:
8 × n = 4 + 7
So,
8 × n = 11
We divide both sides by 8, to leave n on one side of the equation.
n = 11/8
Therefore, n = 11/8 or 1 3/8 or 1.375
Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?
Solve for y
(y-k)h=c
Answer:
Y = C/h+ K
Step-by-step explanation:
hope that helps>3
can someone please accurately do this. if you just put anything, i will report and get my points back
PLEASE HELP! 100 POINTS!
Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.
What will your final grade be if your homework average is 85 and your test average is 76?
[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]
[tex]\\ \sf\longmapsto 85(0.67)[/tex]
[tex]\\ \sf\longmapsto 56.95[/tex]
33% of 76[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]
[tex]\\ \sf\longmapsto 76(0.33)[/tex]
[tex]\\ \sf\longmapsto 25.08[/tex]
Add both
[tex]\\ \sf\longmapsto 56.95+25.08[/tex]
[tex]\\ \sf\longmapsto 82.03[/tex]
Using weighed averages, it is found that the final grade is was of 82.03.
-------------------
The weighed average, which represents the final grade, is given by the sum of the grades multiplied by it's weights.The higher grade has a weight of 67%.The higher grade was of 85, on homeworks.The lower grade has a weight of 33%.The lower grade was of 76, on the test average.-------------------
Using the data given in the exercise, for the grades, and the weighed average concept, the final grade is:
[tex]G = 85(0.67) + 76(0.33) = 82.03[/tex]
The final grade was of 82.03.
A similar problem is given at https://brainly.com/question/24447096
How do write 200,403,926 in expanded form and in words
Answer:
two-hundred million,four-hundred and three thousand ,nine-hundred and twenty-six
Answer:
Answer below
Step-by-step explanation:
Expanded form: 200,000,000 + 400,000 + 3,000 + 900 + 20 + 6
This is when you split a number and write the value of each number
In words: two hundred million four hundred and three thousand nine hundred and twenty six.
HOPE THIS HELPED
10. Jika a dan b penyelesaian dari persamaan
2x – 5 = 1+Vx-3 , maka a + b =
(A) 4
(B) 6
(C) 10
(D) 12
(E) 14
What is the measure of B?
Select the best answer from the choices provided.
A.33°
B. 57
C. 770
D.123
Answer:
B =57
Step-by-step explanation:
The sum of the angles of a triangle is 180
A+B+C = 180
58+B+65 = 180
123+B = 180
B = 180-123
B =57
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°∠A + ∠B + ∠C = 180°
∠A = 58° ∠B = 65° ∠C = x⇛58° + 65° + x = 180°
⇛123° + x = 180°
⇛x = 180° - 123°
⇛x = 57°
Option B is the correct answer
I need help on this
Answer:
ans is 0
mark me as brainliest
I need an explanation for this PLEASEE!
Answer:
4)Y axis :X=0
5)A:2units B:4 units C:7units D:7units
A':2units B':4units C':7units D':7units
6)They are correspondingly the same
7)A(2;1) B(4;4) C(7;4) D(7;1)
A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)
Please help this is timed
a.
5 minutes
b.
As time increases, the amount of water in the aquarium decreases.30 litres per minute
what is the value of x?
[tex]\\ \sf\longmapsto x+88=138[/tex]
Take 88 to right[tex]\\ \sf\longmapsto x=138-88[/tex]
[tex]\\ \sf\longmapsto x=50°[/tex]
Option C is coreect
Can someon answer this ASAP no photo examples please!
Answer:
7 inches
Step-by-step explanation:
7 inches
bc area of a square is l^2 and square of 7 is 49.
O perimetro de uma praça é 320 m. Qual o valor do seu diâmetro
Answer:
A área de um quadrado cujo perímetro é de 320 m é 6400 m2
Step-by-step explanation:
Seven more than three times 11
Step-by-step explanation:
So, 3 times 11 would give you 33. Then you just add the 7 and it would give you 40!
4.
Find the Midpoint of (2,8) and (-2,0)
if you could show your work that'd be great
Answer:
Midpoint= (0, 4)
Step-by-step explanation:
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]
Using the formula above,
midpoint
[tex] = ( \frac{2 - 2}{2} , \frac{8 + 0}{2}) [/tex]
[tex] = (0, \frac{8}{2} )[/tex]
[tex] = (0,4)[/tex]
Find the value of x and y
What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?
Answer:
y = -3/5x + 1
Step-by-step explanation:
We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.
4 = -5(-3/5) + b
4 = 3 + b
1 = b
With the information we know, we can input the values into the formula once again.
y = -3/5x + 1
Best of Luck
HELP PLS HELP HELP WILL MAKE BRAINLIEST
Answer: Therefore, 14% of cats and dogs got shelter during the day.
Step-by-step explanation:
cats = 5/50 * 100%
= 5*2% = 10%
dogs = 2/50* 100%
= 2*2% = 4%
so
= 10% + 4% = 14%
Answer:
Option A
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
For the function f(x) = 3 − 8x, identify the values of f(0), f(1/2), and f(−2).
3; 7; −13
−5; −1; −13
3; −1; 19
−5; 7; 19
Answer:
The answer is 3: -1: 19
Step-by-step explanation:
I. f(x) is output x is input so
If x = 0
f(0) = 3 - 8(0)
f(0) = 3
If x = 1/2
f(1/2) = 3 - 8(1/2)
= 3 - 4
f(1/2) = -1
If x = -2
f(-2) = 3 - 8(-2)
= 3 - (-16)
= 3 + 16
f(-2) = 19
Hope that help :D