Answer:
178.5mcg
Step-by-step explanation:
If you need 5000 per 125mcg, we can express it as;
5000 = 125mcg
To get the amount of mcg needed for 7140, we will say;
7140 = x mcg
Divide both expression
5000/7140 = 125/x
Cross multiply
5000x x= 7140 * 125
5000x = 892,500
x = 892,500/5000
x = 178.5
Hence the amount og mcg needed is 178.5mcg
A number consists of two digit whose sum is 9. If 9 is subtracted from the number the digits
interchange their places. Find the number.
Answer:
[tex]54[/tex]
Step-by-step explanation:
[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]
[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]
[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]
[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]
Introduction to nonlinear models
Complete the table below.
Answer:
The table will be:
x y = 2x² y = 2ˣ
0 0 1
1 2 2
2 8 4
Step-by-step explanation:
Given the non-linear equations
y = 2x²
y = 2ˣ
When x = 0y = 2x²
y = 2(0)² =0
y = 2ˣ
y = 2⁰ = 1
When x = 1y = 2x²
y = 2(1)² = 2
y = 2ˣ
y = 2¹ = 2
When x = 2y = 2x²
y = 2(2)² = 8
y = 2ˣ
y = 2² = 4
Thus, the table will be:
x y = 2x² y = 2ˣ
0 0 1
1 2 2
2 8 4
Please help me please help!!
Answer:
(1) -27
Step-by-step explanation:
[tex]-2(-3)^2+3(-3)[/tex][tex]-2(9)+(-9)[/tex][tex]-18-9[/tex][tex]-27[/tex]5
Which equation represents a line with a slope of
2
and a y-intercept of -
.?
3
8 8
y = - +
3x 3
W100 W 100
B
5 8
y = -1
X +
2 3
5 8
y=-X-
2 3
D
5 8
y =
2x 3
Find the median number of flying saucers.
1, 2, 4, 8, 21, 27
4+8= 12
12÷2= 6
Answer:
6
A rectangle is 3 cm longer than it is wide. The diagonal is 15 cm. Find the dimensions of the rectangle?
Answer:
The length is 12 cm, and the width is 9 cm.
Step-by-step explanation:
The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.
We can use the Pythagorean theorem to write an equation.
Let the width = w = leg a
The length = w + 3 = leg b
The diagonal = the hypotenuse = 12 = c
a^2 + b^2 = c^2
w^2 + (w + 3)^2 = 15^2
w^2 + w^2 + 6w + 9 = 225
2w^2 + 6w - 216 = 0
w^2 + 3w - 108 = 0
(w + 12)(w - 9) = 0
w + 12 = 0 or w - 9 = 0
w = -12 or w = 9
Since a width cannot be a negative number, we discard the solution w = -12.
width = w = 9
length = w + 3 = 9 + 3 = 12
Answer: The length is 12 cm, and the width is 9 cm.
What is the decimal multiplier to decrease by 2.7%?
Answer:
2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.
Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2
Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].
Given:
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
To find:
The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].
Solution:
We have,
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
Using distributive property, we get
[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]
[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]
[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]
On combining like terms, we get
[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]
[tex]=22+2\sqrt{2}[/tex]
On comparing with [tex]b+c\sqrt{2}[/tex], we get
[tex]a=22,b=2[/tex]
Therefore, the required form is [tex]22+2\sqrt{2}[/tex].
What is the range of y = x + 20?
When we solve the inequality, will we keep or switch the inequality sign?
−2x>13
Keep
Switch
Answer:
switch I think cuz there is a negative
Step-by-step explanation:
Hope u have a nice day
Answer:
switch
Step-by-step explanation:
whenever u divide a number by a negative number across the inequality, the inequality sign switches
Which expression is equivalent to 4{12 + 5} + 3?
Answer:
71
Step-by-step explanation:
The school play is selling tickets for their annual fall play. Adult tickets cost $7 each and
children’s tickets cost $4 each. The theatre holds 100 seats and the play is sold out! If $592 were made off of ticket sales, how many of each kind of ticket were sold
Answer:
64 adult tickets were sold and 36 children tickets were sold
Step-by-step explanation:
i created two equations. 7A + 4C = 592 and A + C = 100. A stands for adult tickets and C stands for children tickets. in order to find the value of C, the children tickets, i took the second equation, A + C = 100, and subtracted A on both sides to get C = -A + 100. i then plugged the value of c into the first equation i created. i then got 7A + 4(-A+100) = 592. after that, i distributed the 4 into the parentheses and got 7A - 4A + 400 = 592. from there, you solve and get 3A = 192. divide 3 from both sides, and get the value of A = 64. then, you go back to the second equation, A + C = 100, and plug in your value of A to get 64 + C = 100. you can then go on to solve for C and get 36. your final answer is 64 adult tickets and 36 children tickets were sold.
What is the solution to the equation 3x + 2(x - 9) = 8x + X- 14?
O-8
-1
O1
O8
Answer:
-1
Step-by-step explanation:
Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14
Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)
New Equation: 5x-18 = 9x-14
add 14 to both sides: 5x-4 = 9x
Subtract 5x from both sides: -4 = 4x
Divide both sides by 4 to get: -1 = x
Answer: x = -1
If x = 12 units, y = 4 units, and h = 8 units, find the area of the rhombus shown above using decomposition. A. 16 square units B. 96 square units C. 128 square units D. 32 square units
The area of the rhombus will be 96 square units. Then the correct option is B.
The missing diagram is attached below.
What is the area of the rhombus?Let a be the length and h be the height of the rhombus.
Then the area will be
Area = a × h square units
If x = 12 units, y = 4 units, and h = 8 units.
Then the area of the rhombus will be
A = 12 × 8
A = 96 square units.
Then the correct option is B.
More about the area of the rhombus link is given below.
https://brainly.com/question/15458057
#SPJ1
Answer:
96
Step-by-step explanation:
write in standard form (×+4)(×-5)=4 find the value of a,b,c
Answer:
[tex]x^{2}[/tex] - x - 24 = 0
a = 1
b = 1
c = -24
Step-by-step explanation:
(x + 4)(x - 5) = 4
x(x - 5) = [tex]x^{2}[/tex] - 5x
4(x - 5) = 4x - 20
[tex]x^{2}[/tex] - 5x + 4x - 20 = 4
[tex]x^{2}[/tex] - x - 20 = 4
[tex]x^{2}[/tex] - x - 20 - 4 = 0
[tex]x^{2}[/tex] - x - 24 = 0
a = 1
b = 1
c = -24
pls help i need to get a good grade on this final so I can get my pc Best awnser gets brainliest
Answer:
d
Step-by-step explanation:
hope this helps
What is 56/5 simplest form???
Answer:
9 1/3
Step-by-step explanation:
this is what i think and i hope im right
Answer:
11 1/5
Step-by-step explanation:
You can do 56 divided by 5 to answer this.
56 / 5 = 11 and 1/5
11 1/5
please HELP MEEEEEEEEEEEEEEE
How do I solve this equation by completing the square. X^2 - 12x = -20
Answer:
I got x=2
Step-by-step explanation:
1. Simplify the quadratic equation into its standard form
More Icon
Ax^2 +Bxc=0
Simplify the equation by subtracting everything to the right of the equal sign from both sides of the equation and combining like terms.
x^2-12x+0=-20
x^2-12x+0+20=0
x^2-12x+20=0
The Quadratic formula provides the solution for Ax^2 +Bxc=0, in which A, B, and C are numbers (or coefficients), as follows:
The coefficients of our equation, x^2-12x+20=0, are:
A = 1
B = -12
C = 20
Simplify 64 by finding its prime factors.
We first calculate the expressions inside the parentheses from left to right and from inner to outer.
x=12-8/2
x=4/2
x=2
Which of the following graphs represents a function choose all that apply
Answer:
where the graphs?
Step-by-step explanation:
Please Help!!
Triangle ABC has vertices A (3,4), B (-5,2), and C (1,4).
Determine
a) an equation for CD, the median from C to AB
i. Find the coordinates of D (th mid point).
3x+2(2x−1)=33
what is x?
Answer:
x = 5
Step-by-step explanation:
3x + 2(2x − 1)= 33
simplify
3x + 4x - 2 = 33
7x - 2 = 33
add 2 to both sides
7x - 2 + 2 = 33 + 2
7x = 35
divide both sides by 7
7x/7 = 35/7
x = 5
in (1,8) is y greater than x + 5
Answer:
True.
Step-by-step explanation:
Note the point values: (x , y) = (1 , 8) ∴ x = 1, y = 8
Plug in the corresponding numbers to the corresponding variables in the equation:
y > x + 5
(8) > (1) + 5
8 > 1 + 5
8 > 6
8 is greater than 6, ∴ y is greater than x + 5.
~
Answer:
yes it would
Step-by-step explanation:
x=1 + 5 is six
y=8
8 > 6
8 > 1
i think that's right lol
What is 1 + 1? EXPLAIN WHY IN ORDER TO GET BRAINILIEST!
A) 100
B) 21
C) 2
4) CHICKEN WING
Answer: C)2
Step-by-step explanation:
BECAUSE IT IS YASS BESTIEEEEE
Answer:
1 + 1 = 2 because this is literally the first thing you get taught when in kindergarten math.
take one finger, and then another finger, and it makes two fingers :)
Can anybody answer these 2 please hurry
Answer:
the first one is b= 52
the second one is b= 63
aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn
Answer:
m = 12n
Step-by-step explanation:
M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.
9. Find a and the length all sides.
Answer:
a = 8
Bottom and top length are 68
left and right are 28
Step-by-step explanation:
6a + 20 = a + 60 (same length do to the little tick marks)
5a = 40 (subtract 1a from both sides and 20 from both sides)
a = 8 (Divide)
Answer: A = 8
Step-by-step explanation:
Since Side BC and AD are equal
then we can plug both equations to each other to find A
6a + 20 = a + 60
solve it
6a + 20 = a + 60
- 20 -20
6a = a + 40
-a -a
5a = 40
a = 8
You can now find the length of all sides :)
Item 11
You make $0.75 for every newspaper you sell. Write and solve an equation to find how many newspapers n you have to sell to buy the soccer cleats.
An equation is
=36.
You have to sell
newspapers.
Answer:
0.75x=36
x=48
You need to sell 48 newspapers.
Step-by-step explanation:
0.75x=36
Divide both sides by 0.75 to isolate the variable x.
36÷0.75=48
x=48
Check your answer
48 × 0.75 = 36
mason opens a savings account by making a $165.85 deposit. Every week , he deposits another $20.50 in the account how much money will be in the account after 10 weeks
Answer
1,863.5
Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5
please help.........
Answer:
Concept: Geometric Identities
Look at the sides, two sides and the same, which are indicated by the strikes and the angle is the same.So by that logic we will use SASAnswer:
I think it is 2
Step-by-step explanation: