Answer:
g=6
Step-by-step explanation:
We can start by multiplying both sides by 2
5(3g+2)=100
Now we can distribute the 5 by using the distributive property
15g+10=100
Then we subtract 10 from both sides
15g=90
Divide both sides by 15
g=6
Answer:
6
Step-by-step explanation:
5(3g + 2)/2 = 50 Multiply both sides by 2
5(3g + 2) = 50*2 = 100 Remove the brackets
15g + 10 = 100 Subtract 10 ***
15g+10-10 = 100 - 10 Collect like terms.
15g = 90 Divide by 15 ***
15g/15 = 90/15
g = 6
I don't know how to cut this down so that it requires only 2 steps. I guess that the two steps marked with *** are the 2 I would choose.
is (0,0) a solution to this system? y ≥ x^2-4 y<2x-1
Answer:
No.
Step-by-step explanation:
To determine if the ordered pair is a solution, simply plug it into the equation and check. In other words:
[tex]y\geq x^2-4[/tex]
[tex]0\geq (0)^2-4[/tex]
[tex]0\geq -4[/tex]
This is true. 0 is greater than -4.
[tex]y<2x-1[/tex]
[tex]0<2(0)-1[/tex]
[tex]0<-1[/tex]
This is not true. 0 is greater than -1.
Thus, (0,0) is not a solution.
Answer:
(0,0) is not a solution of the given system.
Step-by-step explanation:
0≥-4 true
0>1 false
(0,0) is not a solution of the system.
Can someone help me please?
Answer:
336km^2
Step-by-step explanation:
There are 2 triangles and 3 squares in this 3D shape.
To find the surface area of this shape, you need to find the area add all the 5 shapes (height ✖️length) and add them.
area of the triangle: 8✖️9/2=36 +36<-- 2nd triangle=72km^2
area of a square: 11✖️8=88✖️3=264km^2
264+72=336km^2
help plz i will make a brainllest quick
plzzz
Answer:
a
Step-by-step explanation:
Answer:
the answer is a.
Step-by-step explanation:
I did this one.
Factor this trinomial.
x² + 2x-3
A. (x + 3)(x + 1)
B. (x + 3)(x - 1)
C. (x-3)(x - 1)
D. (x-3)(x + 1)
Answer:
the answer is (x+3)(x-1).
hope u get it....
Answer:
B
Step-by-step explanation:
x^2 +3x -x -3 = x(x+3) -(x+3)=(x-1)(x+3)
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answer: 105, 15, 35, 21
Step-by-step explanation:
3 x 5 x 7 = 105
3 x 5 = 15
5 x 7 = 35
3 x 7 = 21
The list of all composite factors of K are 15, 21, 35, 105.
What is Prime Number?A number which can be divisible by only 1 and the number itself, that number is said to be a Prime Number.
What is Composite Number?A number which can be divisible by factors other than 1 and itself are called Composite Numbers.
What is Prime Factorization?The process to write a number by the product of its prime numbers is called Prime Factorization.
Here given that the prime factorization of K is given by,
[tex]K=3\times5\times7[/tex]
Hence the number is [tex]K=105[/tex].
Composite factors of a number are given by the product of prime factors of that number in different combinations.
Here prime factors are 3,5,7
The composite factors are given by,
[tex]3\times5=15\\5\times7=35\\3\times7=21\\3\times5\times7=105[/tex]
Thus the composite factors of K are given by 15,21,35,105.
Learn more about Prime Factorization here -
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A pack of 6 red pens costs £2.76. What is the price per pen?
Answer:
0.46 each
Step-by-step explanation:
Answer:
£0.46 per pen
Step-by-step explanation:
We need to find the unit rate, or price per pen.
Therefore, we can divide the price by the number of pens.
price / number of pens
It costs £2.76 for 6 pens.
price= £2.76
number of pens = 6 pens
£2.76 / 6 pens
Divide 2.76 by 6
£0.46 / pen
The price per pen is £ 0.46
PLEASE ANSWER THIS FAST IM BEGGING YOU A student worked the following problem: Solve: 2(10x + 3) − x = 44 Their work is shown below: Step 1: 20x + 6 − x = 44 Step 2: 19x + 6 = 44 Step 3: 19x = 38 Step 4: x = 2 Which of the following statements is correct? There is an error in Step 1. There is an error in Step 2. There is an error in Step 3. No errors were made. The problem was worked correctly.
Answer:
3. No errors were made. The problem was worked correctly.
Step-by-step explanation:
2(10x + 3) − x = 44
Distribute
20x +6 -x =44
Combine like terms
19x +6 = 44
Subtract 6 from each side
19x =38
Divide by 19
19x/19 =38/19
x =2
If you were to take a typical payday loan for $150, with an interest rate of 24.5% due in full after two weeks, what is the total amount you would have to repay?
Answer:
$186.75
Step-by-step explanation:
In order to solve this, we first need to convert the percentage into a decimal which can be done by dividing it by 100 like so
24.5 % 100 = 0.245
Now that we have the decimal form of the percentage we add a 1 to it and multiply that by $150 in order to get the total amount that is owed after two weeks .... without the 1 added it would only give us the amount of interest that needs to be paid.
$150 * 1.245 = $186.75
Therefore after two weeks you would need to pay a total of $186.75
A regular four-sided die and a regular eight-sided die are rolled to form a sum. a) Determine the probability distribution for the sum of the two dice. Show Steps b) Create a frequency histogram for the probability distribution. c) Determine the expected sum of the two dice.
Answer:
4+8=12 so,if its 12 so
Step-by-step explanation:
the some will be 12
12-8=4
12-4=8
the population of a town increases by 4 % every year . In the last year the population of the town was 110000.
Find the present population of the town .
Find the population of the town in the next year
Answer:
114,400 and 118,976.
Step-by-step explanation:
Let's represent this using a function. Let's let:
[tex]P(y)[/tex] represent the total population, and [tex]y[/tex] represent the total number of years since last year.
We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:
[tex]P(y)=110000(1.04)^y[/tex]
Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.
Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)
[tex]P(1)=110000(1.04)^1=114400[/tex]
The present population is 114,400 people.
For next year, set y equal to 2 (2 years after last year is next year)>
[tex]P(2)=110000(1.04)^2=118976[/tex]
The population next year will be 118,976 people.
Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?
Answer:
Step-by-step explanation:
The graph choices have not been posted.
There is also a doubt as to what is really wanted, is it
A. f(x) = 100(0.5)^x - 1
or
B. f(x) = 100(0.5)^(x - 1)
I have included a graph for each. Feel free to make a choice between the two, A is red, and B is blue.
Answer:
it's B
Step-by-step explanation:
i literally just did it on ed
find the time taken for rupees 12502 on an interest of rupees 1020 at the rate of 4% compounded annually
Answer:
t = 63.897 years
Step-by-step explanation:
Simple interest rate formula: A = P(1 + r)^t
Simply plug in what we know and solve:
12502 = 1020(1 + 0.04)^t
6251/510 = 1.04^t
log base 1.04 of (6251.510) = 63.897
Which choice is the most efficient first step to solve this set of equations?
Answer:
x + 2x = 30 is the correct answer.
The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is the cost of each type of bird?
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
I need help answering this so please help
Answer:
(2, f(2))
Step-by-step explanation:
f(x) = -3x^2
For point B, the y-coordinate is f(2).
Point B is (2, f(2))
maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6. Enter a fraction that shows marias claim is incorrect. Choose an answer: a: 6/35 b: 13/70 c: 9/35 d: 16/70
I want to make this clear, this is NOT MY ANSWER! Someone else has already answered this question on here I'm just pasting their answer here so you can get the full details on how it was solved.
We know that 1/5 > 1/6 > 1/7
If we change the numbers to decimals we can see what decimals we can use that are between the number 1/5 and 1/7 .
1/5=.20
1/7≈.14
We can use any number between these two decimals to create a fraction. Let us use .16
.20>.16>.14
Now we can change that number to a fraction.
.16=16/100 which reduced to 4/25
Let's verify:
1/5 > 4/25 > 1/7 find LCM
35/175 > 28/175 > 25/175
One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 4/25.
A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters? 245.04 cm2 203.19 cm2 376.99 cm2 188.50 cm2
Answer:
245.04 cm²
Step-by-step explanation:
Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh
Now, we can plug in the values:
2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)
18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04
The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.
We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.
We have to determine total surface area of the can in square centimeters.
What is the formula to calculate the total surface area of a cylinder with radius 'r' and height 'h'.The total surface area of a cylinder with radius 'r' and height 'h' is given by -
A = 2πr(h + r)
According to the question, we have -
diameter of can = 6 cm
Then, the radius will be (r) = 6/2 = 3 cm
Height of can (h) = 10 cm
Substituting the values, we get -
A = 2 x 3.14 x 3 (10 + 3)
A = 2 x 3.14 x 3 x 13
A = 6 x 13 x 3.14
A = 78 x 3.14
A = 244.92 square centimeters.
Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.
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how many solutions do y=3x-4 y=-2x+7
Answer:
One.
Step-by-step explanation:
It is a linear equation. This means that x is raised to the first power, which there can only be one solution.
Answer:
Hi, the correct answer to your question is Y,X would be (29,11)
ONE SOLUTION
Step-by-step explanation:
First you have to... solve for y
Y equals 2x+7
Next you have to use the variable y and put in into an equation.
2x+7 - 3x = -4 (Also) :) - x = -11
Now you have to solve the equation for the variable x
Which will be 11 (x will be 11)
Finally you have to use x to solve for y
2(11)+7 = 29
Now we have 11 and 29 so the answer to your question will be
= (29,11)
Also this means it has one solution
Btw this is a linear equation...
Hope this helps you! :)
You’re rectangular 12 feet long and 8 feet wide. Your friend’s rectangular vegetable garden 50 feet long and 10 feet wide are the garden similar?
Answer:
No
Step-by-step explanation:
For shapes to be similar, their ratios of length-to-length and width-to-width must be the same. When you divide the larger length by the smaller length and the larger width by the smaller width, do you get the same number? No, so these rectangles are not similar.
Answer:
Not similar
Step-by-step explanation:
Well let’s find the areas first.
My garden)
12*8
=96
Freind’s garden)
50*10
=500
The two gardens are not similar whatsoever.
Thus,
the two gardens are not similar.
Hope this helps :)
Nicole is trying to determine an algebraic expression to represent the amount of dog biscuits she needs to purchase for a dog show. She does not know how many dogs will attend the event but wants to have 2 biscuits per dog plus an additional 35 dog biscuits. If d represents the number of dogs, which expression represents the number of dog biscuits Nicole will need for the event? d + 5 2 d + 35 2 d 2 d minus 35
Answer:
2d + 35
Step-by-step explanation:
2 per dog (d) plus an additional 35 treats = 2d + 35
Answer:
b
Step-by-step explanation:
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
Step-by-step explanation:
(0,5), (1,0)
(0-5)/(1-0)= -5/1= -5
y - 0 = -5(x - 1)
y = -5x + 5
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
WILL GIVE BRAINLIEST Jorge solves the equation 4x - (x + 20) + 6 = 2(3x + 8) using the steps below. Step 1: 4x - x + 2 + 6 = 6x + 16 Step 2: 3x + 8 = 6x + 16 Step 3: 8 - 16 = 6x - 3x Step 4: -8 = 3x Step 5: -8/3 = x Jorge verifies his solution by substituting -8/3 into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error? A. Jorge distributed incorrectly. B. Jorge incorrectly combined like terms. C. Jorge incorrectly applied the addition and subtraction properties of equality. D. Jorge incorrectly applied the multiplication and division properties of equality.
Answer:
A. Jorge distributed incorrectly.
Step-by-step explanation:
4x - (x + 20) + 6 = 2(3x + 8)
4x - x - 20 + 6 = 6x + 16
3x - 14 = 6x + 16
3x - 6x = 16 + 14
-3x = 30
x = -10
For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.
What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.
Hope this helps!
Answer:
A is correct and thank you to the other person who answered i didn’t fail
Step-by-step explanation:
just took the quiz on edge
Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.
Answer:
Kristen had (3/4) of a granola bar in total.
Then the three other people have 2.25 granola bars to share amongst themselves.
Step-by-step explanation:
Complete Question
Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.
How many granola bars did Kristen eat.
Solution
4 of them bought 3 granola bars.
Then they divide each granola bar into 4 equal portions.
Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.
Each portion is (1/4) of a granola bar.
Kristen then takes 1 portion from the 3 granola bars.
This means she had 3 × (1/4) granola bars.
Kristen had (3/4) of a granola bar in total.
Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.
Hope this Helps!!!
In a causal-comparative study, what is the difference between independent variables and dependent variables? independent variables cause the effect measured in the dependent variables dependent variables cause the effect measured in the independent variables dependent variables are those that affect each other; independent variables do not independent variables exist before the study; dependent variables do not
Answer: independent variables cause the effect measured in the dependent variables
Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.
Which equation describes a parabola that opens left or right and whose
vertex is at the point (h, v)?
A. y = a(x - 1)2 + 1
B. x = aly - y)2 + h
C. x = aly - h)2 + V
O D. y = a(x - h)2 + V
Answer:
B. x = a(y - v)^2 + h
Step-by-step explanation:
The basic equation is ...
x = f(y)
x = y^2
To translate the vertex from (0, 0) to (h, v), we replace x with (x-h) and y with (y-v). Now, we have ...
x -h = (y -v)^2
To scale the graph horizontally by a factor of "a", we multiply the right side by "a":
x -h = a(y -v)^2
Adding h gives the form you want to compare to the answer list:
x = a(y -v)^2 +h
_____
The attachment shows an example for (h, v) = (4, 3).
Answer:
B
Step-by-step explanation:
Hopefully this helps :)
Which of the following is an example of the law of syllogism? A. If an animal is a penguin, then it can’t fly. If an animal can’t fly, then it still may have wings. An animal may have wings. Therefore, the animal is a penguin. B. If an animal is a penguin, then it can’t fly. An animal is a penguin. Therefore, the animal can’t fly. C. If an animal is a penguin, then it can’t fly. An animal can’t fly. Therefore, the animal is a penguin. D. If an animal is a penguin, then it can’t fly. If an animal can’t fly, then it still may have wings. An animal is a penguin. Therefore, the animal may have wings. Please select the best answer from the choices provided
I believe the answer would be A.
6th grade RATIOS
I don’t know how this is supposed to work do I start as
3:9 or 3:4 or 4:9 or 4:3 or 9:4? How do I start?
Answer:
i would say b
Step-by-step explanation: if they all slept 4 hours a night then all 9 would have a total of 36 and a night would be 1 so 36 to 1
3. The pie chart illustrates the values of various goods sold by a certain shop.
If the total value of the sales was $24000, find the sales value of:
a) toys
b) grass
seed
Food
4
c) records
d) food.
45 790
Toys/60° Records
Grass
seed
It’s q 3 please
Answer:
Records: $6000
Grass Seed: $4000
Toys: $3000
Food: $11000
Step-by-step explanation:
We have to use the number of degrees in each category in comparison to the total number of degrees in a circle, 360 degrees. Records is 90 degrees, so 90:360 = 1:4 = 1/4. So 1/4 of the total pie is $6000. For food, we add the other sub-category's costs, and subtract that from $24000.
Answer:
Toys = 3000Grass seed = 4000Records = 6000Foods = 11000Step-by-step explanation:
1. Toys = [tex] \frac{45}{360} \times 24000 = 3000[/tex]
2. Grass seed[tex] = \frac{60}{360 } \times 24000 = 4000[/tex]
3. Records = [tex] \frac{90}{360} \times 24000 = 6000[/tex]
4. Food = 24000 - ( 3000+4000+6000)
= 24000 - 13000
= 11000
Hope this helps...
Best regards!!