Answer:
x = 10% saline solution = 190 mililiters
y = 60% saline solution = 10 mililiters
Step-by-step explanation:
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Let
x = 10% saline solution
y = 60% saline solution
x + y = 200
x = 200 - y
10% × x + 60% × y = 200 × 12.5 %
Hence:.0.1x + 0.6y = 25
Substituting 200 - y for x
0.1(200 - y) + 0.6y = 25
20 - 0.1y + 0.6y = 25
- 0.1y + 0.6y = 25 - 20
0.5y = 5
y = 5/0.5
y = 10 milliliters
Solving for x
x = 200 - y
x = 200 - 10
x = 190 mililiters
find the volume of the cone
Answer:
A≈249.02cm
Step-by-step explanation:
PLEASE HELP I NEED THE ANSWER ASAP ILL GUVE BRAINLIST
Hope this helps. please mark me brainliest if it did
Answer:B $225
Step-by-step explanation:
$2,700.00 divided by 12 = $225
12 = 1 year
You flip a coin three times in a row. What is the probability you will get three tails?
Answer:
50/50
Step-by-step explanation:
Answer:
1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.
what is the answer? please helppp
Answer:
1/4
Step-by-step explanation:
Probability is: (ways to get a desired result) / (total possible outcomes)
Choosing a yellow ball would be a desired result.
So, using the numbers that the question gives us,
(3 ways to get a yellow ball) / (12 golf balls total) =
3 / 12 =
1 /4
The answer is 1/4 chance.
Answer:
3/12 0r 1/4 <--- Simplified
Step-by-step explanation:
so there are 3 yellow which are in 12 gold balls so
it would be 3/12 or simplified 1/4
A . What is the slope in the line of the graph ?
Answer:
0.2x+3
Step-by-step explanation:
can someone please help with this i don’t know how to do it 85points
Answer:
Step-by-step explanation:
You can find the area by cutting it across in the middle into a trapezoid and a rectangle.
The trapezoid will have:
height = 10-4 = 6ft
top = 9-6 = 3ft
bottom = 8ft
So its area = 1/2*(3+8)*6 = 33 ft^2
The rectangle will have:
length = 10ft
width = 6ft
So its area = 10*6 = 60 ft^2
Total area = 60+33 = 93 ft^2
Answer:
93 ft^2.
Step-by-step explanation:
Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).
First find the area of the rectangle;
10*6 = 60 save that for later;
The dimensions of the second rectangle are not given but you can solve for them.
The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.
The height of the second rectangle is given by 9ft. - 6ft.
Multiply the width (base) and height;
6*3=18
The base of the triangle is the same as the second rectangle's. Use that for the base. The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.
1/2(5*6) = 15
Add all of the values together;
15+18+60 = 93 ft^2
PLEASE HURRY!!!! Which Graph shows a set of ordered pairs that represent a function?
factorise
x^3 - 2x^2 -x+2
Answer:
Solution given:
x^3 - 2x^2 -x+2
take common from two each term
x²(x-2)-1(x-2)
take common again and keep left one on other bracket
(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.
note:using formula a²-b²=(a+b)(a-b) for x²-1.
Answer:
[tex](x - 1)(x + 1)(x - 2)[/tex]
Step-by-step explanation:
[tex]x^3 - 2x^2 - x + 2[/tex]
Take x² common from first two terms.[tex]=> x^2(x - 2) -1(x - 2)[/tex]
Take (x - 2) common from whole expression.[tex]=> (x - 2)(x^2 - 1)[/tex]
Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)[tex]=> (x - 2)(x + 1)(x - 1)[/tex]
If the m∠1=123° m ∠ 1 = 123 ° and m∠2= (2x+7)° m ∠ 2 = ( 2 x + 7 ) ° , determine the value of x that supports l∥m l ∥ m . Show your work to support your answer.
Answer:
25
Step-by-step explanation:
Let us assume that m<1 nad m<2 are supplementary. Since the sum of supplementary angles is 180degrees, hence;
<1 + <2= 180
123+2x+7 = 180
130+2x = 180
2x = 180 - 130
2x = 50
x = 50/2
x = 25
Hence the value of x is 25
The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.
Answer:
1
Step-by-step explanation:
What is the equation of the line that passes through the point (−7,4) and has a slope of 0?
Answer:
Step-by-step explanation:
equation of a line
y=mx+b
y=0*x+b
y=0+b
y-0=b
since the line passes through the point (-7,4) it satisfies the equation
4-0=b
4=b
substituting the value of b in
y-0=b
y-0=4 is the required equation.
What is the value of x? Show your work.
Please help
Answer:
b=5√3
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]
Rosc has $500 in her savings account. She carnis simple interest at 5%
Calculate the interest she carnis after two year.
<
A
B. ss0
CLS250
D. $500
O
A
OB
Answer:
50
Step-by-step explanation:
I assume you are asking how much she EARNS after 2 years.
500x.-5=25 interest per year
25 x 2 years = 50 interest for 2 years.
-14+u=50 I need help
what’s the answer for this I need help
Answer:
18 ft^2
Step-by-step explanation:
4 x 4 = 16
4 x 1 = 4
4 / 2 = 2
16 + 2 = 18 ft.^2
Answer:
18 ft²
Step-by-step explanation:
Area of the triangle: [tex]\frac{1}{2}[/tex] (1 × 4) = 2 ft
Area of the square: 4 × 4 = 16 ft
Add up the areas
You get 18 ft²
what 3 1/2 times 2 3/4
Answer: 9/4 or 2.25
Step-by-step explanation:?????
Pls help me with #10 I need a answer and a explanation
Answer:
C y/9 = 3
Step-by-step explanation:
An equation needs an equals sign
jill has 15 feet ribbion how many yards ribbon does she have
Answer:
Step-by-step explanation
You would take 15 ft and divide it by how many feet are in a yard which is 3.
Answer - Jill has 5 yards of ribbon
Answer:
5 yards
Step-by-step explanation:
every 3 feet are 1 yard... 15 feet divided by the 3 = 5 yards
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
A blockbuster movie makes about $247,000,000 in the United States during opening weekend. That same weekend another movie opens but only makes about $5,200,000. Question: write each dollar amount in scientific notation PLEASE HELP.
Answer:
$247,000,000 = 2.47 * 10⁸$5,200,000 = 5.2 * 10⁶Step-by-step explanation:
Scientific notation allows us to write large numbers in smaller quantity by reducing the number to a figure less than 10 but more than one and then multiplying it by a power of 10 to show its actual size. For instance, 65,000,000 will be written as 6.5 * 10⁷ to represent the total number of digits that it has after the decimal.
$247,000,000:
This would be 2.47 * 10⁸
$5,200,000:
This is 5.2 * 10⁶.
In the past, the mean running time for a certain type of flashlight has been 9.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. They hypotheses are as follows. Explain a type 2 error.
Answer:
what are the hypotheses?
Step-by-step explanation:
you said the hypotheses are as folows its not there
HELP ME WITH THIS PLEASE!! #∆# ~∆~
Find the RATIO and the EXACT VALUE of the given Cot B.
Answer:
Step-by-step explanation:
take angle B as reference angle
using cot rule
cot B=adjacent/opposite
cot B=5/12
cot B=0.41
B=cot 67.5
B=67.5 degree
for ratio,
cot B=5/12
NO LINKS PLEASE ..Solve for x
Answer:
x = 42.5
Step-by-step explanation:
all triangles inscribed into a circle like in the picture must have a 90 degree angle.
so, 90 = 2x + 5, 85 = 2x, x = 85/2 = 42.5
Please Help! WIll Give 25 Points And Brainliest!
Please solve the picture below
Answer: n × n× 6
length time width both = n and hight is 6 so n × n × 6
Step-by-step explanation:
hi please help I'll mark u brainliest
Answer:
v = 16, u = 15
Step-by-step explanation:
(a)
Substitute the given values into the formula
v = 10 + 2(3) = 10 + 6 = 16
(b)
Substitute the given values into the formula
50 = u + 5(7)
50 = u + 35 ( subtract 35 from both sides )
15 = u
The identity sin (theta/2) = +- sqrt 1-cos theta/2 is derived from which other identity?
Answer:
2nd option
Step-by-step explanation:
Using
sin²A = [tex]\frac{1-cos2A}{2}[/tex] ( take the square root of both sides )
sinA = ± [tex]\sqrt{\frac{1-cos2A}{2} }[/tex]
Replace 2A with θ and A with [tex]\frac{0}{2}[/tex] , then
sin ([tex]\frac{0}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cos20}{2} }[/tex]
hey! i’ll give brainliest please help
Answer:
conjunction
Step-by-step explanation:
Answer:
Conjunction is correct answer. (I think)
How much should you invest at 4.8% compounded continuously to have $5000 in 2 years?
Answer:
The total compound interest is $502.74 i think
Step-by-step explanation:
24/5
[tex] \frac{24 \times 5000 }{5 \times100 } = \frac{240 \times 5000}{100} = 240 \times 50 = 12000 =12000 + 240 = 12240 [/tex]
what is the area if this triangle? enter your answer as a decimal in the box. round only your final answer to the nearest tenth.
The answer to your question is 38.6
A race horse runs one lap around a lake in 10 minutes.
How long will it take for the horse to run 6 laps around the lake at the same pace?
gaving brainliest out
Answer:
60 minutes
Step-by-step explanation: