DNA contains the instructions needed for an organism to develop, survive and reproduce. To carry out these functions, DNA sequences must be converted into messages that can be used to produce proteins, which are the complex molecules that do most of the work in our bodies. Hope this helps!
Ali must mix 6 tablespoons of plant food for every 2 gallons of water if she has 6 gallons of water how much plant food should she use
The quadratic equation given describes the area of the shaded region of each figure. Use the equation to find for the length and width of the figure
(s-2) (s+6) = 153
Answer:
Step-by-step explanation:
To find the length and width of the figure given the equation (s-2) (s+6) = 153, we will find the equivalent value of s by factoring.
(s-2) (s+6) = 153
s²+6s-2s-12 = 153
s²+4s-12-153 = 0
s²+4s-165 = 0
s²+15s-11s-165 = 0
s(s+15)-11(s+15) = 0
s+15(s-11) = 0
s+15 = 0 and s-11 = 0
s = -15 and 11
s cannot be negative
Hence s = 11
The length of the figure is s
The width is s+6
Length = 11
Width = 11+6 = 17
Hence the length of the figure is 11 and the width is 17
A boat, which moves at 12 miles per hour in water without a current, goes 45 miles upstream and 45 miles
back again in 8 hours. Find the speed of the current to the nearest tenth.
The speed of the current is
miles per hour.
Given:
Speed in still water = 12 miles per hour
Distance travel in upstream = 45 miles
Distance travel in downstream = 45 miles
Total time = 8 hours
To find:
The speed of current.
Solution:
Let the speed of current be x miles per hour.
Speed in upstream = (12-x) miles per hour
Speed in downstream = (12+x) miles per hour
We know that,
[tex]Time=\dfrac{Distance }{Speed}[/tex]
Time to cover 45 miles in upstream = [tex]\dfrac{45}{12-x}[/tex]
Time to cover 45 miles in downstream = [tex]\dfrac{45}{12+x}[/tex]
Total time is 8 hours. So,
[tex]\dfrac{45}{12-x}+\dfrac{45}{12+x}=8[/tex]
[tex]45\left (\dfrac{1}{12-x}+\dfrac{1}{12+x}\right)=8[/tex]
Taking LCM, we get
[tex]45\left (\dfrac{12+x+12-x}{12^2-x^2}\right)=8[/tex]
[tex]45\left (\dfrac{24}{144-x^2}\right)=8[/tex]
[tex]\dfrac{45\times 24}{8}=144-x^2[/tex]
On further simplification, we get
[tex]45\times 3=144-x^2[/tex]
[tex]135=144-x^2[/tex]
[tex]x^2=144-135[/tex]
[tex]x^2=9[/tex]
Taking square root on both sides.
[tex]x=\pm \sqrt{9}[/tex]
[tex]x=\pm 3[/tex]
Speed cannot be negative. So, x=3 only.
Therefore, the speed of the current is 3 miles per hour.
Four classmates went bowling. Each paid $2.00 to rent shoes and bowled g games, paying $3.50 per player for each game. Which expression shows how many dollars they paid in all?
A. 4(2) + 3.5g
B. 4(3.5) + 2g
C. 4(2 +3.5)g
D. 4(2) + 4(3.5g)
Answer:
its A
Step-by-step explanation:
Answer:
The answer is D!
Step-by-step explanation:
When you answer the question you have 4 players who pay $3.5 per player each game the formula would be 4(3.5g). The you have to calculate in the money they paid to rent shoes which is 4x2 or 4(2) so when you combine the equations you get D)4(2)+4(3.5g)!!!
HOPE THIS HELPS!!
Please please help!!
Answer:
y +4 = 1/5(x +5)
Step-by-step explanation:
The equation of a line with slope m through point (h, k) in point-slope form is ...
y -k = m(x -h)
You have m=1/5, (h, k) = (-5, -4). Putting these values into the formula gives ...
y -(-4) = (1/5)(x -(-5))
y +4 = 1/5(x +5)
A total of 60 boys and girls attended a basketball game. There were twice as many girls at the game as there were boys,
How many boys were at the game?
Answer:
let the no. of boys be x
no. of girls = 2x
According to the question,
x + 2x = 60
=> 3x = 60
=> x = 60/3
=> x = 20
Thus, there were 20 boys at the game
Answer:
boys:20 girls:40
Step-by-step explanation:
because 40 +20=60
Which number sentence is true?
A.
B.
C.
D.
Answer:
D Because 0.44 is the same as 0.44 and -5.55 is less than 5.55 and -4.5 is less than 3.60 so it leaves out D
Answer:
D
Step-by-step explanation:
It is larger because the whole number -3 is greater than -4 and closer to 0
Gary had a 40% discount for new tires. The sale price of a tire was $96.25. What was the original price of the tire? Round to the nearest cent.
Answer:
$57.75
Step-by-step explanation:
96.25 x .40 = 38.5
96.25 - 38.5 = 57.75
The original price of the tire will be equal to $160.4.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Gary had a 40% discount for new tires. The sale price of a tire was $96.25.
Let the original price of the tire be x. Now form the equation to have the price of the tire,
x ( 0.60 ) = $96.25
x = $96.25 / 0.60
x = $160.4
Therefore, the original price of the tire will be equal to $160.4.
To know more about percentages follow
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explain how to graph an equation in slope-intercept form.
Answer: explain how to graph an equation in slope-intercept form.
Step-by-step explanation: To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
A(n)=7+(n-1)(11)
A(2)=
A(4)=
A(11)=
Answer:
A(2)= 18, A(4)= 40, A(11)= 117
( 2 , 1 ) and ( 8 , 9 )
Answer:
m = (4/3)
Step-by-step explanation:
9 - 1
8 - 2
8/6 = 4/3
Find m
A. 17
B. 42
C. 48
D 90
Answer:
A
Step-by-step explanation:
CAN SOMONE PLEASE HELP ME ASAP ILL MARK BRAINLIST !!!!
I honestly don't know try 10 or 12 sorry I couldn't help you further
idk how to do this. 4x+3(7−x)
Answer:
x+21
Step-by-step explanation:
Distribute
4x+21-3x
Combine like terms
X+21
Answer:
=x+21
Step-by-step explanation:
4x+3(7−x)
expand: 3(7-x): 21-3x
=4x+21-3x: x+21
=x+21
Hope this helped :)
PLEASE HELP ME WITH THIS
Answer:
1
Step-by-step explanation:
angles on a straight line are 180 so u do 180 minus 47 gives u 133
200 g of water at 60 ° C are mixed with 300 g of water at 20 ° C. What is the temperature of the mixture?
the temperature of the mixture will be 60°
Which set is finite?
A the set of all factors of 20
B. the set of all multiples of 20
C. the set of all integers less than 20
D. the set of all integers greater than 20
E. the set of all fractions less than 20.
=======================================================
Explanation:
Let's go through the answer choices
A) The factors of 20 are 1,2,4,5,10,20. This list does not go on forever, so this set is finite.B) The multiples of 20 are 20,40,60,80,100,... and this list does go on forever. Simply add 20 to the last value to get the next one. This set is not finite, so it is infinite.C) This set is infinite as well because there are infinitely many negative integers. Any negative number is smaller than a positive number.D) There are infinitely many integers, so there are infinitely many integers greater than 20. This set is infinite.E) It's the same idea as before. This set is infinite. There are infinitely many rational numbers smaller than 20.(18 – ab) + 4b
If a = -2 and b = -5
Answer:
-12
Step-by-step explanation:
First, substitute the variables with the numbers.
(18-(-2*-5))+4(-5)
Using the order of operations, solve in the parentheses before anything else.
(18-(-2*-5))+4(-5)
(18-(10))+4(-5)
We can now multiply 4 by -5.
(18-(10))+4(-5)
(18-10)-20
It's probably easier if we subtract 10 from 18 before subtracting 20.
(18-10)-20
8-20
-12
Hope this helps you out!! Have a wonderful day c:
Lena got three “hits” in her last seven times at bats, so her chance of getting a hit is 3/5. Theoretical or Experimental?
Answer:
HMM LOOKS LIKE A FRACTION PROBLM IM NOT SURE KIND OF TIERD RN SO UM .........3x+7=3/5 try this in calculated
Step-by-step explanation:
✌
Mimi sells super-sized cookies for $1.50 each and estimates she has expenses of $10 to make one batch of cookies. If the inequality 1.5x - 10 > y models this situation, how many cookies, x, would she need to sell to make a profit of at least $30? a: x > 20 cookies b: x > 26 cookies c: x > 27 cookies d: x > 35 cookies
Answer:
(b) x > 26 cookies
Step-by-step explanation:
The selling price of 1 super-sized cookie, S.P.=$1.50
Let a batch have x cookies.
So, the selling price of x cookies=1.5x
The expences in making one batch of cookies=$10
So, net profit = 1.5x-10
The given inequality to model this is 1.5x - 10 > y, That means the profit for one batch is greater than y.
As she wants to make a profit of at least $30, so for this condition, the value of y is 30.
Now, the given inequality become,
[tex]1.5x - 10 >30[/tex]
[tex]\Rightarrow 1.5x>30+10[/tex]
[tex]\Rightarrow x>\frac{40}{1.5}[/tex]
[tex]\Rightarrow x>26\frac{2}{3}[/tex]
As x is the number of cookies, so, it can't have a fractional value. This can be written as
[tex]x>26[/tex] or [tex]x\geq27.[/tex]
So, she has to sell more than 26 cookies to make a profit of at least $30.
Hence, option (b) is correct.
The length of a rectangle is five inches less than twice its width. If the
rectangle has a perimeter of 80 inches, find the length and width. *
Width 5, Length 35
Width 10, Length 30
Width 15, Length 25
O Width 20, Length 20
Answer:
10 width and 30 length.
Step-by-step explanation
multiply 30x2 which is 60 and 10x2 which is 20 and 60+20=80.
Answer:
Jasisnotcute
Step-by-step explanation:
Im telling you they really arent.
Answer is Z though.
The sum of x and 4 is greater than the difference of 2x and 3. Find x
Answer:
3 i think
Step-by-step explanation:
add 3 and 4 =7
or
multiply 2 and 3= 6 and subtract 3 = 3
What is the 'K' (Constant of Proportionality) for a straight line that goes through the origin with a point of (3, 30).
Answer:
k = 10
Step-by-step explanation:
The constant of proportionality of a graph in Mathematics is simply the ratio of y to x which can be called the slope.
It's given by; k = y/x
We are given; y = 30 and x = 3.
Thus;
k = 30/3
k = 10
Writé the equation for a parabola with x-intercepts of 1 and -3 and passes through
(-9,28).
Answer:
[tex]\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)[/tex]
Step-by-step explanation:
Equation of the Parabola
The general form of the equation of the parabola is:
[tex]f(x)=ax^2+bx+c[/tex]
We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).
However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:
[tex]f(x)=a(x-p)(x-q)[/tex]
We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:
[tex]f(x)=a(x-1)(x+3)[/tex]
We only need to find the value of a. We do that by using the point (-9,28):
[tex]28=a(-9-1)(-9+3)[/tex]
Operating:
[tex]28=a(-10)(-6)=60a[/tex]
Solving for a:
[tex]\displaystyle a=\frac{28}{60}=\frac{7}{15}[/tex]
Thus, the equation of the parabola is:
[tex]\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}[/tex]
adam spent $3.42 orange juice .orange juice cost 0.12 per ounce .how many ounces of orange juice did adam buy
Answer
I think it would be 2,850
Answer:
28.5
Step-by-step explanation:
0.12 x 28.5 = 3.42
That means he bought 28.5 ounces
D
Question 12
(-3, 3) and (2, -7)
What is the slope of the line?
Answer:
m=-2
Step-by-step explanation:
Which equation describes the line with slope of 3 and
containing the point (-3,-2)?
y = -1/3x-3
y = 1/3x - 1
y = 3x – 2
y = 3x + 7
Option D is the correct answer, y = 3x + 7
The line is y=3x+7
Given that the point is (-3, -2) and slope=m=3.
Using the point slope formula we get:
[tex]y-\left(-2\right)=3\left(x-\left(-3\right)\right)\\y+2=3\left(x+3\right)\\y+2=3x+9\\y=3x+7[/tex]
The line is y=3x+7
Learn more: https://brainly.com/question/8806877
During what month do people sleep the least? Will mark brainliest for the correct answer!!!
Answer:
February, it's the shortest month after all.
Answer: February
Step-by-step explanation: People sleep the least amount of time in February because it is the shortest month out off all the months. Your welcome :)
Rafael is making cookies by following a recipe that calls for 2.375 cups of flour, .75 cup of sugar and, 2.125 cups of chocolate chips. Rafael only wants to make 60% of the original recipe. How many cups of flour, sugar, and chocolate chips will he need in total?
What is the price per ounce if 20 ounces of apples cost 5.76
Answer:
It would cost 3.47 cents for one ounce.
Hope it helps :)
Answer: 3.47
Step-by-step explanation: see the key word per and that tells you to divide 20 by 5.76 and get 3.47