Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
Answers
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
Related Questions
Write 27% as a fraction.
Answers
Answer:
27/100
Step-by-step explanation:
27%= 0.27= 27/100 which cannot be reduced
Answer:
27/100
Step-by-step explanation:
27% = 27/100
Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?
Answers
Answer:
Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.
Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how the sapling's height in inches, y, depends on the number of years since it was planted, X. Y =
Answers
Answer:
y= (10*x)+5.5
Step-by-step explanation:
B)
Answer:
y = 10x + 5.5
Step-by-step explanation:
We can write our equation in slope-intercept form, which looks like y = mx + b. "m" is our growth rate, and "b" is our y-intercept, or starting value.
So, let's fill in "m" first. What is our growth rate? Well, 10 inches per year. So, we can replace "m" with 10: y = 10x + b. But we have to figure out which number to replace "b" with. In this scenario, Sofia planted the maple tree when it was already 5.5 inches tall. So, when it grows 10 inches per year, the inches are being added to that original value. 5.5 is our starting value: y = 10x + 5.5. And that's our final equation.
Hopefully that's helpful! :)
Where are the factors? The number of terms? Where are the constants? Where are the confficients
3x-5y+15
Answers
Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:
The half-life of krypton-91 is 10 seconds. At time t = 0 a heavy canister contains 3 g of this radioactive gas. How much remains after one minute?
Answers
Half time of krypton 91 = 10s
this means, it reduces to half of the remaining in every 10s
So, In 10 sec , the mass remaining will be :
3/2 = 1.5
After 20 sec, the mass remaining will be :
0.75 g
After 30 sec, the mass remaining will be :
0.375
After 40 sec, the mass remaining will be :
0.1875 g
After 50 sec, the mass remaining will be :
0.09375 g
After 1 minute, the mass remaining will be:
0.046975 g
Anna has £10 savings, Ben has £3.
Each week, Anna saves £2.50 and Ben saves £3.
How many weeks will it take for Anna and Ben's
savings to be in the ratio 5:4?
Answers
Answer:
6
weeks
Step-by-step explanation:
if [tex]a_{1}[/tex]=4 and [tex]a_{n}[/tex]= [tex]5a_{n-1}[/tex]-1 then find the value of [tex]a_{3}[/tex]
Answers
========================================================
Explanation:
The first term is 4 because of the notation [tex]a_1 = 4[/tex]
To get the second term, we'll use the recursive equation [tex]a_n = 5(a_{n-1})-1[/tex] which basically says [tex]\text{nth term} = 5*(\text{previous term})-1[/tex]. To get the second term, we'll multiply the first term by 5, then subtract off 1.
2nd term = 5*(1st term) - 1
2nd term = 5*4 - 1
2nd term = 19
This means [tex]a_2 = 19[/tex]
We repeat this process again to find the third term [tex]a_3[/tex]
[tex]a_n = 5*(a_{n-1})-1\\\\a_3 = 5*(a_{3-1})-1\\\\a_3 = 5*(a_{2})-1\\\\a_3 = 5*(19)-1\\\\a_3 = 95-1\\\\a_3 = \boldsymbol{94}\\\\[/tex]
The third term is 94
Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
Answers
I don't know sorry.
Sorry!
Answer and explain every step of your solution.
Answers
Answer:
min: (-2;-6) & (1; 3/4); max: (0;2).
Step-by-step explanation:
1) f`(x)=3x³+3x²-6x;
2) f`(x)=0, ⇒ 3x³+3x²-6x=0;
3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;
other steps are provided in the attachment.
The graph of f(x)=16^x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x) ?
Answers
Answer:
g(x) = -16^x + 8
Step-by-step explanation:
This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:
f(x)=16^x becomes g(x) = -16^x + 8
please someone help me answer this question. file is attached.
Answers
Answer:
ok so im pretty sure it is 6 pans with 2 cups left over
Step-by-step explanation:
so 2 1/2 times 6 is 15 since we cant get it exactly, so you use 6 which is 15 and you figure out what was leftover which is 2
Pre-Algebra simple question
Answers
Step-by-step explanation:
multiplication
yep that is the answer
Answer:
multiplication should be used
help me with this please!
Answers
Have a great day/night
hope this helps:)))
What is the slope of this line?
−12
12
2
Answers
2 is the answer!!
MARK ME BRAINLIEST PLSSSSsolving linear systems graphically .
Answers
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
Math Essay Solve for g. make sure to show your work
(16 divided 4)(3x7)=g
Answers
Answer:
84 = g
Step-by-step explanation:
(16 ÷ 4)(3 × 7) = g Divide
4(3 × 7) = g Multiply
4 × 21 = g Multiply
84 = g Simply
Plzzzz help meeeee plzzzz helppmmmmeee
Answers
Explanation: I just know
f(x)=x^4−4x^3−22x^2+4x+21
Select each correct answer.
−3
−1
0
1
3
7
Answers
Answer:
-1
1
7
-3
Step-by-step explanation:
The paragraph below comes from the rental agreement Susan signed when she opened her account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
Both of Susan’s movies are three days late. According to her receipt, the purchase price of one of her movies is $12.00 while the purchase price for the other movie is $15.00. If she turns both of them in today, how much will Susan owe Super Video?
A) $4.50
B) $9.00
C) $27.00
D)$38.00
Answers
Answer:
$9
Step-by-step explanation:
(2 movies returned late)
3 days late
$1.50 per day late fee
equaling $4.50 per movie
TOTALING $9
TOTALING $9.00
Answer:
B) $9.00Step-by-step explanation:
Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.
The amount to be paid:
3*2*$1.5 = $9Correct choice is B
During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?
Answers
Answer:
Im soooooo hungry ughhh
Step-by-step explanation:
Hi
what is the value of |-3.25| and what is the value of |4.25|
Answers
Answer:
3.25 and 4.25
Step-by-step explanation:
absolute value just makes the numbers positive
Please explain step-by-step! Thanks!
Random answers will be reported
Answers
Step-by-step explanation:
what is your questions?????Which theorem does it offer proof of?
Answers
Answer:
vertical angles are =
Step-by-step explanation:
Is -3/4 greater than -0.25
Answers
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
Here is the problem: (Picture)
Answers
Answer:
c
Step-by-step explanation:
Select the correct answer. The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0. 5, what is the perimeter of the resulting triangle? A. 30 units B. 20 units C. 15 units D. 7. 5 units.
Answers
Answer:
.
Step-by-step explanation:
I’ll mark the brainiest
Answers
Answer: 122°
Step-by-step explanation:
Because angles on a straight line are supplementary (add up to 180°), then:
m∠2 = 180° - 58°
= 122°
Supplementary angles
180-58=122
Two trains, Train A and Train B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each train?
Answers
Answer:
A=464
B=93
Step-by-step explanation:
A+B=557
A-B=371
Solving the two equations simultaneously gives A=464 and B=93
Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1
Answers
we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2
ok done. Thank to me :>
Plz help .!$&&&&&&&&&
Answers
The thing dosnet show