Answer:
For 81cm³ of water we need 9g of powder.
Step-by-step explanation:
To have the same medicine in a larger amount, the concentration of the powder must be the same, and this concentration is given by the ratio between the amount of powder and the volume of water it is diluted. This ratio is
[tex]\frac{5}{45} = \frac{1}{9}[/tex]
Since this ratio must be the same for a larger amount, the ratio of our desired amount of powder(let's call it x) by 81cm³ must be equal to this ratio.
[tex]\frac{x}{81} = \frac{1}{9}[/tex]
Solving for x, we have
[tex]\frac{x}{81} = \frac{1}{9} \\\\[/tex]
[tex]\frac{x}{81}[/tex] × [tex]81= \frac{1}{9}[/tex] × [tex]81[/tex]
[tex]x = \frac{81}{9}[/tex]
[tex]x = 9[/tex]
For 81cm³ of water we need 9g of powder.
What is the inverse of the function f(x) = -6x - 7
Answer:
f - 1 (x) = - x6 - 76
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 .
Work out surface area please
Answer:
594 cmStep-by-step explanation:
We know that:
Surface area of prism = Area of rectangle + Area of triangleSolution:
Surface area of prism = (30 x 17) + (1/2 x 21 x 8)=> Surface area of prism = (510) + (21 x 4)=> Surface area of prism = (510) + (84)=> Surface area of prism = 594 cmHence, the surface area of the prism is 594 cm.
What is the value of P and Q? in the diagram Below? 45 degrees 45 degrees 8
Use synthetic division to solve (3 x Superscript 4 Baseline 6 x cubed 2 x squared 9 x 10) divided by (x 2). What is the quotient? 3 x cubed 12 x squared 26 x 61 StartFraction 132 Over x 2 EndFraction 3 x cubed 2 x 5 3 x cubed 12 x squared 26 x 61 StartFraction 132 Over x minus 2 EndFraction 3 x Superscript 4 Baseline 2 x squared 5 x.
answer: B (3x^3+2x+5)
i did it on edg and got it right! have a good day! :)
Answer:
B (3x^3+2x+5)
Step-by-step explanation:
EDGE2022
12. Suppose U= {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P= {1, 2, 3, 4]. What is P'? (1 point)
O {5, 6, 7, 8}
O {1, 2, 3, 4, 5, 6, 7, 8}
O {1, 2, 3, 4}
O cannot be determined
Answer:
o {5, 6, 7, 8}
Step-by-step explanation:
To find P'
P' = U - P
P' = {1, 2, 3, 4, 5, 6, 7, 8} - {1, 2, 3, 4}
P' = {5, 6, 7, 8} ANS.
An object accelerates 5.0m/s2 when a force of 20.0N is applied to it. What is the mass of the object?
Answer:
4.0 kg
Step-by-step explanation:
F=ma
20.0N = (Mass)*(5.0 m/s^2)
Mass = 20.0N/(5.0 m/s^2)
1 N = 1 kg*m/s^2
Mass = 20.0 kg*m/s^2/(5.0 m/s^2)
Mass = 20.0 kg/5.0 or 4.0 kg
LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=13x-10 and MP=9x+9
Answer:
the diagonals of a rectangle are equal in
in length so. LN=MP
13x -10=9x+9
13x-9x=9+10
4x=19
x=19/4
A stray dog ate 21 of your muffins. That was 7/10 of all of them! With how many did you start with?
A) 30
B) 25
C) 28
D) 14.7
Answer:
Your answer is A
Step-by-step explanation:
The reason is because 1/10 is 3 muffins so if it was 7/10 it would be 21 8/10 is 24 and 9/10 is 27 and 10/10 is 30 muffins
Answer: The answer is 30
Step-by-step explanation:
You do 21 x 10 and the answer is on top of 7: 120/7
Then do 120 divided by seven and there is your answer.
y is 9 times as many as 4.
Answer:
36
Step-by-step explanation:
Basically it is = 9 x 4
Multiply the numbers
= 9 ⋅ 4
= 36
Solution = 36
aka
y = 36
help me i don'tunderstand please
Step-by-step explanation:
using SOH CAH TOA.
h=3.46 and b=4.42
Identify a zero of the function !
find the x-intercept and the y-intercept of 2x + 6y =24
Answer:
x-intercept = 12, y-intercept = 4
Step-by-step explanation:
To find the x and y intercept, substitute 0 in for both values.
Substitute 0 into x:
2(0) + 6y = 24
6y = 24
Divide each side by 6:
y = 4
Substitute 0 into y:
2x + 6(0) = 24
2x = 24
Divide each side by 2:
x = 12
PLEASE HELP ME!! A section of a highway is constructed with a 23% grade. What angle does the highway make with a horizontal line? Round to the nearest hundredth of a degree.
m∠A ≈ 12.95°
m∠A ≈ 77.05°
m∠A ≈ 14.95°
m∠A ≈ 87.05°
The angle that make highway with a horizontal line is 12.95°.
What Horizontal line ?Horizontal line is type of straight line that goes from to the left to right or right to thd left. In co-ordinate geometry, a line is said to be the horizontal if two points are on the line have the to same Y- coordinate points. It's comes from the terms “horizon”. It means that this horizontal lines are always in the parallel to the horizon or to the x-axis.
Section of highway is constructed with 23% grade.
So, y= 1
And x= 4-35
For grade 23% = angle
= tan-1(y/x)
= tan-1(1/4.35)
= 12.95°
To know more about horizontal line click-
https://brainly.com/question/25081736
#SPJ1
There are 6 teams in the basketball
league. Each team has 8 players. How
many players are there?
Answer:
48
Step-by-step explanation:
8 players for every team: 6x8=48.
Answer:
48 players
Step-by-step explanation:
There are 6 teams
There are 8 players per team
You can multiply them: 6 x 8 = 48
1 team = 82 teams = 8 + 8 = 163 teams = 16 + 8 = 244 teams = 24 + 8 = 325 teams = 32 + 8 = 406 teams = 40 + 8 = 48There are 48 players
-Chetan K
Ben and Alice buy some chocolates. Ben eats two full chocolates and five-eighths of a chocolate. Alice eats one full chocolate and one-eighth of a second chocolate. How much more chocolate does Ben eat than Alice
Answer:
Ben ate 1 1/2 more chocolate than Alice
Step-by-step explanation:
2 5/8 - 1 1/8 = 1 4/8
Simplify: 1 1/2
Ben ate 1 1/2 more chocolate than Alice.
Find the measure of angle b
Fill in the table (imagine provided)
the formula is 30 + 15x = total wight
x = n of steel balls
3 balls = 75
5 = 105
7 = 135
10 = 180
Which is the most accurate way to estimate 68% of 23?
Answer:
The most accurate way to estimate 68% of 23 is to convert the percentage to a fraction first and then multiply it with the number.
=(68/100)*23 = 15.64
Step-by-step explanation:
9x-3y=12
Put the following equation of a line into slope-intercept form, simplifying all fractions
Using the graph, the x-intercept is
and the y-intercept is
Answer:
x-int: x = 4 (4,0)
y-int: y = 2 (0,2)
Step-by-step explanation:
The x-axis is the horizontal line. The y-axis is the vertical line. Coordinate points are (x,y).
Just count from the origin which is the centre (0,0). Where the line crosses/intercepts the x and/or y-axis is called the intercept.
what's the value of x?
sorry for the weird marks but please help
Answer:
the answer is 8.902 i don't know if you need to round
Which of the following statements are true? Select all that apply.
S
8
A. pll gif 22 = 23.
B. pll gif 25 = 27.
Crilsif : 2 = 24
D. Tils if 25 = 26.
A is correct
Step-by-step explanation:
pll hif 22=23 UT welcome
two numbers less than 8 that
have 3 as their GCF
Answer:
3 and 6
Step-by-step explanation:
GCF's or greatest common factors of numbers 1 to 8
1 : 1
2 : 1, 2
3: 1 , 3
4 : 1, 2, 4
5 : 1, 5
6 : 1, 2, 3, 6
7 : 1, 7
8 : 1, 2, 4, 8
3 and 6 have 3 as their GCF
Answer:
2#8?+76++887
Step-by-step explanation:
GCF < 2 : 2 and 7, 12 and 13GCF = 2 : 2 and 6GCF = 3 : 3 and 6GCF > 3 : 4 and 12, 6 and 18Step-by-step explanation:The greatest common Factor (GCF) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.(a) 2 and 7: Both 2 and 7 are prime numbers, therefore the GCF of 2 and 7 is 1 which is less than 2.(b) 2 and 6: Both 2 and 6 are even numbers, therefore the GCF of 2 and 6 is 2.(c) 4 and 12: Both 4 and 12 are even numbers and multiple of 4, therefore the GCF of 4 and 12 is 4 which is greater than 3.(d) 12 and 13: 13 is a prime number, therefore the GCF of 12 and 13 is 1 which is less than 2.(e) 6 and 18: Both 6 and 18 are even numbers and multiple of 6, therefore the GCF of 6 and 18 is 6 which is greater than 2 and greater than 3.(f) 3 and 6: Both are multiple of 3, therefore the GCF of 3 and 6 is 3.
HELPPP
You can use the recursion In
Xn=(xn-1+10/xn-1)/2
the process of iteration to estimate the value of
V10 without using a calculator. What is the value
of the 2nd iterate if 20 = 3.1? Carry out your
answers to the 5th decimal place.
Answer:
3.16228
Step-by-step explanation:
I took the exam and got it right :)
NEED HELP WILL GIVE BRAINLIEST
Area of circle with radius OP is ______ cm^2
Area of circle with radius AD is ________ cm^2
Area of circle with radius BC is _________ cm^2
Area of the shaded region is __________ cm^2
Circumference of the circle with center B is ________ cm
Give you answer as a completely simplified exact value in terms of pi
Area of Circle having radius OP = 4 cm: 50.27 cm²
Area of Circle having radius AD = 1 cm: 3.14 cm²
Area of Circle having radius BC = 2 cm: 12.57 cm²
Area of the shaded region: 34.56 cm²
Circumference of the circle with center B: 12.57 cm
Area and Circumference of a CircleArea = πr²
Circumference = 2πr, where r = radius.
Area of Circle having radius OP = 4 cm:
Area = π(4)² = 50.27 cm²
Area of Circle having radius AD = 1 cm:
Area = π(1)² = 3.14 cm²
Area of Circle having radius BC = 2 cm:
Area = π(2)² = 12.57 cm²
Area of the shaded region:
Area = 50.27 - (3.14 + 12.57)
Area = 34.56 cm²
Circumference of the circle with center B, having radius of 2 cm:
Circumference = 2π(2) = 12.57 cm
Learn more about area and circumference of circle on:
https://brainly.com/question/402655
how do you graph 3x= -135
Answer:
see below
Step-by-step explanation:
first isolate x
3x = -135
divide both sides by 3
3x/3 = x
-135/3 = -45
x = -45
we can then graph it
x is gonna be equal to -45
so draw a point on the x intercept at -45 and draw a vertical line going up and down
it should look like the graph shown below
Answer:
You would graph a vertical line at (-49, 0)
Step-by-step explanation:
3x = -135
Divide both sides by 3
x = -45
You would graph a vertical line at (-49, 0)
P.S., that system acts strange sometimes so be sure to only do one square up once you press -45. :)
What is the area of the space that Nadia has shown for scrapbooking?
Answer
98ft
Step-by-step explanation:
you multiply the lengths and widths of each shape and then add them all up
Need answer important pleases
Answer:
D {50, 150}
Step-by-step explanation:
Hope this solve your answer
can you please help me
15 plus 15 equals 30..hope this helps
4.) On a road map, the distance from Atlanta to Chicago is 23.5 inches. What is the actual distance
between the cities if the map scale is 1/2 inches = 20 miles?
a
940 miles
b.
470 miles
v
235 miles
Answer:
940 miles
Step-by-step explanation:
Set up a ratio
23.5 in/x = 0.5in/20mi
Cross multiply
23.5 * 20 = 0.5 * x
470 = 0.5x
940 = x
