Answer:
the number of milligrams of the vitamin in the drink is 75 mg
Step-by-step explanation:
The computation of the number of milligrams of the vitamin in the drink is as follows:
= RDA of the vitamin × given percentage ÷ percentage
= 50 mg × 150 ÷ 100
= 75 mg
hence, the number of milligrams of the vitamin in the drink is 75 mg
We simply applied the above formula so that the correct value could come
And, the same is to be considered
simplify the following by combining like terms
-5 - x + 4x - 4
PLZ HELP
Answer:
3x-9
m=3
Step-by-step explanation:
Write the simplest polynomial function for each set of zeros
Zeros = -1, 0, 4
Answer:
x^3-5x^2+4x
Step-by-step explanation:
(x+(-1))(x-0)(x-4)
(x-1)(x)(x-4)
x(x-1)(x-4)
(x^2-x)(x-4)
x^3-x^2-4x^2+4x
x^3-5x^2+4x
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.
which equation represents a line that is parallel to the line whose equation is 2x + 3y = 12
how many of the equations listed below represent the line passing through the points (2,3) and (4,-7)
Answer: 3 equations
Step-by-step explanation:
The 4th one doesn’t work for both pairs.
1st : 3 - 7 = -4 | 5 x 2 = 10 5 x 4 = 20
10 - 20 = -10.
-4 does not equal -10
2nd equation : -7 - 7 = -14
5 x 4 = 20| 5 x 4 = 20 20 - 20 = 0
-14 does not equal 0
The only one equation that represents the line passing through both points is y = -x + 5. which is the correct answer that would be an option (D).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
To determine the number of the given equations representing the line passing through the points (2,3) and (4,-7), you can substitute the coordinates of these points into the equations and see if they are satisfied.
If an equation is satisfied by both points, then the line described by that equation passes through both points.
Here are the given equations:
A. y = 3x + 5
B. y = -7x + 1
C. y = x + 1
D. y = -x + 5
E. y = -1/3x + 1
Substituting the coordinates of the point (2,3) into each of these equations, we find that equations A, C, and D are satisfied by this point.
Substituting the coordinates of the point (4,-7) into each of these equations, we find that equations B and D are satisfied by this point.
Therefore, the only one equation that represents the line passing through both points is D. Thus, the answer is 1.
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The question seems to be incomplete the correct question would be
how many of the equations listed below represent the line passing through both points (2,3) and (4,-7).
A. y = 3x + 5
B. y = -7x + 1
C. y = x + 1
D. y = -x + 5
E. y = -1/3x + 1
* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both sequence A and sequence B. Is Sally right? You must explain your answer.
Answer:
Sally is not right
Step-by-step explanation:
Given the two sequences which have their respective [tex]n^{th}[/tex] terms as following:
Sequence A. [tex]3n - 2[/tex]
Sequence B. [tex]10 - 2n[/tex]
As per Sally, there exists only one number which is in both the sequences.
To find:
Whether Sally is correct or not.
Solution:
For Sally to be correct, we need to put the [tex]n^{th}[/tex] terms of the respective sequences as equal and let us verify that.
[tex]3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}[/tex]
When we talk about [tex]n^{th}[/tex] terms, [tex]n[/tex] here is a whole number not a fractional number.
But as per the statement as stated by Sally [tex]n[/tex] is a fractional number, only then the two sequences can have a number which is in the both sequences.
Therefore, no number can be in both the sequences A and B.
Hence, Sally is not right.
Danny is 5 years old and weighs 46 pounds. He is sitting on a swing when his sister Stacey pulls him and the swing back horizontally through an angle of = 45.0° and then holds him at static equilibrium. Find the magnitudes of both H and T.
Answer:
H = 46 lbs
T = 65.05 lbs
Step-by-step explanation:
From the given information:
The information shows a right triangle and the solution comes from the bottom leg H and the top T.
So, using the tangent of the trigonometric function;
tan θ = H/46 lbs
tan (45.0°) = H /46 lbs
1 = H /46 lbs
H = 46 lbs
From the top T
T cos θ = W
T cos 45.0° = 46 lbs
T = 46 lbs/cos 45.0°
T = 46 lbs / 0.7071
T = 65.05 lbs
Alex is trying to run a certain number of miles by the end of the month Alex is 40% of the way to achieving her goal and she already has run 12 miles how many miles is she trying to run by the end of the month
Answer:
30 miles
Step-by-step explanation:
Given that:
Alex has some target to run a certain number of miles by the end of the month.
Goal already achieved = 40% of the total goal
Number of miles already run by Alex = 12 miles
To find:
Number of miles that Alex is trying to run by the end of month?
Solution:
We have to find nothing but the goal of Alex here.
Let the number of miles that Alex is trying to run by the end of the month = [tex]x[/tex] miles
As per question statement:
40% of total number of miles to be run = 12 miles
OR
[tex]\dfrac{40}{100}\times x = 12\\\Rightarrow 40x=12\times 100\\\Rightarrow x = \dfrac{1200}{40}\\\Rightarrow \bold{x = 30\ miles}[/tex]
Total number of miles that Alex is trying to run by the end of the month = 30 miles
You buy two packages of almonds and mix them together into one bowl.
One package is 8.24 kg and the other is 6.62 kg. How Much Is the bowl?
Answer:
whenever you do zoom, tell me
Step-by-step explanation:
2x+20=3x-10 solve for x
Answer:
x=30
Step-by-step explanation:
Determine whether the solution of each equation below is the same as the solution
of 3m - 36 - 6m.
Choose Yes or No for each equation.
-3m+ 2 = -1
Yes No
b.-21-4m - 6,4) = 44.8
Yes No
C.
8m - 5 - 2m +1 - 20
Yes No
d. 7m + 6 = 9m - 2
Yes No
Answer: yes
Step-by-step explanation:
Answer:
yes,no,no,yes
Step-by-step explanation:
What fraction of a whole turn is 45°? *
Answer:
the fraction is answer
Step-by-step explanation:
Find the value of the expression below
Answer:
[tex]\huge\boxed{\sf -\frac{2}{9} }[/tex]
Step-by-step explanation:
[tex]\sf \frac{\frac{2}{3}-\frac{5}{6} }{\frac{3}{4} } \\\\= \frac{\frac{2(2)-5}{6} }{\frac{3}{4} } \\\\= \frac{\frac{4-5}{6} }{\frac{3}{4} } \\\\= \frac{-1}{6} / \frac{3}{4} \\\\= \frac{-1}{6} * \frac{4}{3} \\\\= -\frac{1*4}{6*3} \\\\= -\frac{1*2}{3*3} \\\\= -\frac{2}{9} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
Can y'all please solve this.....will give brainliest ^_^
x=6,004/5.019=1.196
x=1.2
y=3.999/9.241=0.432=0.43
Answer:
1.20.43Step-by-step explanation:
[tex]x = \frac{\sqrt{36.05} }{5.019} \\ \\\sqrt{36.05}=6.00416\dots \\\\=\frac{6.00416\dots }{5.019}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{6.00416\dots }{5.019}=1.19628\dots \\\\=1.19628\dots \\\\= 1.2[/tex]
[tex]y = \frac{\sqrt[3]{63.71}}{(3.04)^2} \\\\3.04^2=9.2416\\\\=\frac{\sqrt[3]{63.71}}{9.2416}\\\\\sqrt[3]{63.71}=3.99394\dots \\\\=\frac{3.99394\dots }{9.2416}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{3.99394\dots }{9.2416}\\=0.43217\dots \\\\= 0.43[/tex]
f(x) = 2(x - 2)(x + 5) in standard form
Answer:
f (x) = 2x² + 6x - 20
Brainliest Please!!!
Answer:
5*10^-1
Step-by-step explanation:
4x-4+X+5
4x+X+5-4
5x-1
X=5*10^-1
I hope it useful I just woke up haha
Francisco is saving money in an account. At the beginning of the year, he has $56 in savings
and puts in another s4 per week. Which of the following equations models the amount of
savings, s, as a function of the number of weeks, w, Francisco has been saving?
The correct equation for this given condition is;
⇒ s = $56 + $4w
Where, 's' is amount of savings and 'w' is number of weeks.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Francisco is saving money in an account.
The savings amount = $56
And, Put in another $4 per week.
Now,
Let number of weeks = w
And. Total amount in saving amount = s
So, We can formulate;
⇒ s = $56 + $4w
Thus, The correct equation for this given condition is;
⇒ s = $56 + $4w
Where, 's' is amount of savings and 'w' is number of weeks.
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Use the picture below to answer questions 13a and 13b.
13a) What is the measure, in degrees, of angle 1? Explain how you determined the measure of angle 1.
13b) What is the measure, in degrees, of angle 2? Explain how you determined the measure of angle 2
Answer:
13a: Measure of angle 1 is 120 degrees
13b: Angle 2 is 60 degrees
Step-by-step explanation:
Angle 1 is alternate exterior (so in a parallel pair they are equal) to the angle on line m given as 120 deg.
Angle 2 is 180 minus 120= 60 Sum of the two angles must equal 180.
An ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of
14 cm. They are considering switching to a new container that is a rectangular prism whose base is
20 x 13 cm
The company wants the new container to have the same volume as the old container,
How tall should the new container be?
Round to the nearest tenth.
cm
Answer:
9.5
Step-by-step explanation:
The height of the rectangular container will be 9.47 cm.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid. For cylinders, we need the radius and the height of the cylinder.
Given that an ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of 14 cm. They are considering switching to a new container that is a rectangular prism whose base is 20 x 13 cm.
The height of the rectangular prism will be calculated as:-
( π / 4 ) X D² X H = L x W x H
( π / 4 ) X 14² X 16 =20 X 13 x H
H = [( π / 4 ) X 14² X 16] / ( 20 x 13)
H = 9.47 cm
Therefore, the height of the rectangular container will be 9.47 cm.
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what is
f(x)=2x+3
if x=10
Answer:
23
Step-by-step explanation:
2(10)+3
20+3
(10,23)
Please mark brainliest :)
Answer:
X=23 sorry if I’m wrong
Step-by-step explanation:
PLEASE ANSWER MY LAST QUESTIONNNN!!!!!!
I NEED TO TURN IT IN VERY SOON!!
Answer:
where is it?
Step-by-step explanation:
good luck have a good life
Use the algebraic expressions for the length and width of Marlene's living room found in the
23.
diagram and the value of x found in Question 21C.
A. Find the actual length and width of her living room.
B
Find the actual area of Marlene's living room. Use actual dimensions.
Answer:
The area of Marlien's living room is 420 square ft
Step-by-step explanation:
Before calculating the real dimensions of Marlien's living room, we must find the value of x.
Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.
The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:
[tex]2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2[/tex]
Simplifying:
-10 + x - 2 = 2
x = 10 + 2 + 2
x = 14
Since x=14 feet, the dimensions of Marlien's living room are
width=x=14 feet
length=2x+2=30 feet
Thus the area is:
A = 14*30 = 420 square ft
The area of Marlien's living room is 420 square ft
3 subtracted from 9 times 2 and 5 is added
20
Step-by-step explanation:
Step-by-step explanation:
it is 20
9×2-3+5= 20
there the correct answer this time
associative property 8×30
Answer:
I think you mean commutative property. 30 * 8
Step-by-step explanation:
This does not have parentheses around anything. To solve with commutative property switch the digits.
Isabella's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
What is the area of the figure composed of a parallelogram, a square, anda rectangle?
10 in.
3.5 in.
4 in.
6 in.
12.5 in.
Enter the answer in the box.
___ square inches
Answer:
126 in^2.
Step-by-step explanation:
Area of parallelogram = 10 * 3.5 = 35.
Area of the square = 4*4 = 16.
Area of the rectangle = 6 * 12.5 = 75
Total area = 35 + 16 + 75
= 126 in^2.
Hi! I need help on #25 ASAP. Thank you so much!!!
Answer: Hello! I believe the answer is 25/4. I'm so sorry if this is incorrect!
of their squares
The sum of the first a teoms of on
A
is 214. Find the frost 4 teams,
Answer:
So you have a summation of 4 terms
An Easy way to do this is to simplify the process:
You need X1+X2+X3+X4 to equal 214
Let the first number be 80
80+X2+X3+X4
Let X2 and X3 be 60 each
80+ 60+ 60+X4
Lastly we are at a sum of 200
So let X4 be 14
Therfore we have a sum of 4 X terms equal 214
(2x+3y)raise 2 pls can u tell
Answer:
4x² + 12xy + 9y²
Step-by-step explanation:
Assuming you require the expansion
(2x + 3y)²
= (2x + 3y)(2x + 3y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 3y) + 3y(2x + 3y) ← distribute both parenthesis
= 4x² + 6xy + 6xy + 9y² ← collect like terms
= 4x² + 12xy + 9y²
Answer:
[tex] {4x}^{2} + 12y + {9y}^{2} [/tex]
Step-by-step explanation:
[tex](2x + 3y) {}^{2} \\ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ = {(2x)}^{2} + 2 \times 2x \times 3y + {(3y)}^{2} \\ = 4 {x}^{2} + 12y + 9 {y}^{2} \\ hope \: it \: helps[/tex]
Solve for X:
Need help ASAP
Answer:
x = 20°
Step-by-step explanation:
So basically, since the 2 values are on the opposite side of an "x," you just set the 2 values each to each other and solve for x.
6x - 20 = 100
+20 +20
6x = 120
÷6 ÷6
x = 20
In parallelogram STUV, find the m∠TUV.
Answer: Angle TUV = 57 degrees
Explanation:
The diagram shows Angle TSV = 57 degrees.
Opposite angles of any parallelogram are always congruent, so angle TUV is equal to angle TSV. This makes angle TSV to be 57 degrees. The other values are not needed.