Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
Determine the intercepts of the line.
A rectangular book measures 3 x 5. What is the length of its
diagonal?
Which statement is true of an appropriate sample of a population? A sample must be a group of people who are the target of the survey question. A sample should have different characteristics than the population. O Asample must be very small. A sample should include only boys or only girls. THE ANSWER IS A
Answer:
The answer is A simple must be a group of people who are the target of the survey question
Step-by-step explanation:
A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement
walkway of uniform width whose area is at least as large as the area of the pool. What is the
minimum width of the walkway? Show the steps of your solution.
Answer:
15m I think
Step-by-step explanation:
Sorry if im wrong
The area of a rectangle can be found by taking the product of length and breadth. The minimum width of the walkway is 15 m.
What is a Rectangle?A quadrilateral that has its opposite sides as equal and all the angles are right angle is called a Rectangle. The diagonal of a rectangle is greater than its length and breadth.
The given rectangle has dimension of 15 × 30.
Suppose the uniform width of walkway be d.
Then, the area of walkaway can be written as
Area = (15+d)×(30+d) - 15×30
As per the question,
15×30 = (15+d)×(30+d) - 15×30
(15+d)×(30+d) = 2×15×30
d^2 + 45d - 900 = 0
d = -60,15
As, length cannot be negative. Thus, d = 15m.
Hence, the minimum width of walkway is 15m.
To know more about rectangle click on the following link,
https://brainly.com/question/15019502
#SPJ2
Figure ABCD was reflected across the x-axis to create
figure A'B'CD!
What are the coordinates of the pre-image of B'?
(2,-8)
(-8,-2)
(-2, 8)
(8, 2)
Answer:
I think the answer is (8,2)
8. Write the equation of a line through points (5,5) and (1, 0) in point-slope form.
y = (x - 1)
О
5
y-1= = (x - 1)
y==(x-5)
y-5= -(x - 1)
Answer:
y=5x-7
Step-by-step explanation:
Did this earlier today
Solve the equation-7(x-2)= -84
Answer:
x = 14
Step-by-step explanation:
First, use the distributive property:
-7x + 14 = -84
-7x = -98
x = 14
Answer:
my answer got deleted for no reason so ill add it again with my way of solving it with steps this time.
x=14
Step-by-step explanation:
divide both sides by -7
[tex]\frac{-7(x-2)}{-7} =\frac{-84}{-7}[/tex]
simplify
[tex]x-2=12[/tex]
add two to both sides
[tex]x-2=12[/tex]
[tex]+2[/tex] [tex]+2[/tex]
simplify
[tex]x=14[/tex]
hope having another method helps :)
The measures of two sides of a triangle are given {17x-7} and {3x^2+5}. The perimeter of the triangle is 13x^2-14x+12. Find the measures of the third side.
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.
1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.
Answer:
1 and 4
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
Only true statements out of the option
Hey guys ( or gals ) I have no idea what to do please help me.
Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
If a rectangle piece of dimensions 3 cm x 2 cm is cut from one corner of a rectangular sheet of dimensions 10 cm x 6 cm and attached to it's side projecting out of the rectangle, what will be the change in perimeter of the new shape thus formed?
Answer:
[tex]6\ \text{cm}[/tex]
Step-by-step explanation:
The sides of the larger rectangle are 10 cm and 6 cm.
The sides of the part cut out are 3 cm and 2 cm.
The part cut out is attached to one of the sides of the rectangle.
Perimeter of the new shape will be
[tex]6+7+2+3+2+3+2+13=38\ \text{cm}[/tex]
Perimeter of old shape
[tex]2(10+6)=32\ \text{cm}[/tex]
Change in the perimeter is [tex]38-32=6\ \text{cm}[/tex]
The perimeter of changed by [tex]6\ \text{cm}[/tex].
The local car dealership will approve the purchase of a $32,795
car with a 72 month loan. Enter the length of the car loan in years.
Answer:
?
Step-by-step
Can you be more specific?
7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answer:
10
Step-by-step explanation:
What’s the answer to this question ? 4.4y - 5x = -8
what do you want us to solve for? Step-by-step explanation:
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
Which is a central idea of the article?
A. Congress passed the Fair Labor Standards Act to protect young workers.
B. Hundreds of thousands of kids work long hours under dangerous conditions on U.S. farms.
C. Reyes has been working on farms in Michigan since he was 9 years old.
D. Worldwide, about 152 million kids ages 5 to 17 are child laborers.
Answer:
a is the right answer Congress passed the fair labor standards act to protect young workers
Suppose y varies directly as x, and y=26 when x=8. Find x when y=65.
Answer:
when y=65, x=20
Step-by-step explanation:
We are given:
y varies directly as x
and y=26, when x=8
We need to find x, when y = 65
y varies directly as x can be written as:
[tex]y\:\alpha \:x\\y=kx[/tex]
Where k is constant of proportionality.
Finding k, when y=26 and x=8
[tex]y=kx\\26=k(8)\\k=\frac{26}{8}\\k=3.25[/tex]
We get the value of k = 3.25
Now, we need to find value of x, when y=65 and k=3.25
[tex]y=kx\\65=3.25(x)\\x=\frac{65}{3.25}\\x=20[/tex]
So, when y=65, x=20
Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answer:
< is greater sign and = is equal to sign
6th grade math help me plzzz
Answer:
D
Step-by-step explanation:
Answer:
answer is d
2upon7
hope you understand
and fast plzz
will .ark the brainliest
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}[/tex]
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.
A: 1/2
B: 1/4
C: 1/5
D: 1/25
Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve
The Pythagoras Theorem:
the base squared and height squared added is equal to the hypotenuse squared.
so
(x+6)² + (x+3)²= (x+9)²
x²+36+12x+x²+9+6x = (x+9)²
2x²+45+18x=x²+81+18x
x²=36
x=√36
X= 6
now
(x+6)= 12
(x+3)=9
(x+9)=15
haha sorry correct it pls
Can someone help me plzzz!!
Answer:
Multiply dno. plus nume. by 2
Step-by-step explanation:
get a base of 100
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
perimeter is 45 cm?
Answer:
12, 15, 18
Step-by-step explanation:
4+5+6 = 15
45/15 = 3
multiply 4 x 3 = 12
multiply 5x 3 = 15
multiply 6 x 3 = 18
A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Answer:
$60
Step-by-step explanation:
i-ready
i dont know how to do geometry like that and i need help on my assignment
Answer:
Step-by-step explanation: Can you ask your teacher? Or no?
Please help ASAP brainliest for correct answer
5.6 litres to nearest 0.5litres
Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
there are 12 boys and 8 girls in the french club.
1) what is the ratio of boys to girls?
A. 2:5
B. 3:5
C: 2:3
D: 3:2
2) what percent of the members of the french group are girls?
A) 8%
B) 40%
C) 60%
D) 75%
Answer:
1)
D. 3:2
2)
B. 40%
as, no. of girls=8
total no. of students =12+8=20
now,
percentage of girls=no.of girls/total no. of students ×100%
=8/20×100%
=40%
