Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
53 students are going on a field trip to the museum of modern art. Each bus holds 40 people. How many buses must be used to transport all the students
Answer:
2
Step-by-step explanation:
If you take 1 bus then that means leaving 13 peoplee brhind(53-40=13), so you have to take 2 buses.
53 students are going on a field trip to the museum of modern art.
Each bus holds 40 people. we need 2 buses to hold the all students.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
53 students are going on a field trip to the museum of modern art.
Each bus holds 40 people.
Total students left = 53 - 40
= 13
one bus can hold a number of students = 40
but we have 13 more students which are less than 40.
So, we need one more bus to hold the leftover.
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Find the square root of 200 up to two decimals
Answer:
Erm
Step-by-step explanation:
14.14
Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?
Answer:
Check the explanation
Step-by-step explanation:
1 centimetre is = 0.01 meter
therefore the scale in Brennan drawing is 1 centimetre is used to represent 7 metres
Answer:
1 cm:7 meters
Step-by-step explanation:
The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:
21 cm:147 meters
As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:
1 cm:7 meters
Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right!
Answer:
c
Step-by-step explanation:
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right! :)
Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal.
Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.
Which system of equations represents this situation?
Answer:
I'm sorry but I don't see any equations
Step-by-step explanation:
Is 4.01 greater,less,or equal then 4.9
Answer:
Less
Step-by-step explanation:
Quadrilateral DEFG has vertices at D(6,1), E(2,4), F(-5,4) and G(-1,1). What is the area of the quadrilateral?
Answer:
Area of the quadilateral = 35 square units.
Step-by-step explanation:
The coordinates of the quadilateral DEFG are given as
D(6,1), E(2,4), F(-5,4) and G(-1,1).
To obtain the area, we need the length of each of the quadilateral's sides.
The length of each side is the distance between the coordinates given.
The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(y₁ - y₂)² + (x₁ - x₂)²]
The lengths of the quadilateral's sides include DE, EF, FG and GD
DE = distance between D(6,1) and E(2,4)
DE = √[(1 - 4)² + (6 - 2)²]
DE = √(9 + 16) = 5 units
EF = distance between E(2,4) and F(-5,4)
EF = √[(4 - 4)² + (2 - -5)²]
EF = √(0 + 49) = 7 units
FG = distance between F(-5,4) and G(-1,1).
FG = √[(1 - 4)² + (-1 - -5)²]
FG = √(9 + 16) = 5 units
GD = distance between G(-1,1) and D(6,1)
DE = √[(1 - 1)² + (-1 - 6)²]
DE = √(0 + 49) = 7 units
The dimensions of the quadilateral show that it is a rectangle.
The area of a rectangle = (length) × (width)
Length = 7 units
Width = 5 units
Area of the quadilateral = 7 × 5 = 35 square units.
Hope this Helps!!!
Answer: actually that one might be wrong bc for the area I got 15 and for perimeter I got 16.32
And if you plot it, it makes a trapezoid and that’s not the formula for a trapezoid it’s
A= (base 1 + base 2 divided by 2) * height
P= a+b1+c+b2
Step-by-step explanation:
50pts
Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.
Answer: Option C is most Appropriate.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
Step-by-step explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)
The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)
Plot these two triangles in the graph as shown below.
The graph shows the relation between the triangle ABC and A'B'C'.
Both the triangles are separated by different units and are not images of one another.
Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
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What is (2x^2+2x-6) times (x-4)?
Answer:
2x^3-6x^2-14x+24
Step-by-step explanation:
Find the value of x in the triangle shown below.
56°
Betty turned 71 this year but in three more years she will be twice as old as her daughter. How old is her daughter now
Answer: Betty's daughter is 34 years old now.
Step-by-step explanation:
So Betty is currently 71. In three years, she will be 74. So she will be twice as old as her daughter at the age of 74. To find out how old Betty's daughter is in 3 years, I will divide 74 by 2, which is 37 (74/2). Finally, I will subtract the original 3 years from the 37 years of age of Betty's daughter, and I will get my answer for how old Betty's daughter is, which is 34 years old.
The local recycling center sends a truck to the school once a month to collect the paper that was recycled. Each month, the truck picks up 642.3 pounds of paper. How much would the truck pick up after 3 months? __
Answer: 1,926.9
Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on. All you have to do is multiply that first number with the second.
Example: if the gardener collects 20 carrots a week. How many carrots did the gardener collect in a span of 5 weeks?
Simply just multiply 20 x 5 = 100.
Please answer multiple choice
Answer:
A. 54.09
Step-by-step explanation:
cos (angle) = Adjacent/Hypotenuse
cos (75) = 14/x
x= 14/cos (75)
x=54.09
Answer:
its A
Step-by-step explanation:
Factor the expression
36x + 27 using the GCF.
Answer:
9(4x+3) :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first step in factorising is to look for any common factors.
27
and
36
are both multiples of
3
and
9
.
We use
9
because it is the highest common factor:
Divide
9
out of each term:
27+36x=9(3+4x)
The reverse process would be to use the distributive law to multiply each term in the bracket by
9
.
This will give us the original expression:
9(3+4x)=27+36x
Solve the following quadratic equation: (x-16)^2= 256
Answer:
x = 32 or x = 0
Step-by-step explanation:
(x - 16)² = 256
Expand and simplify the equation.
x² − 32x + 256 = 256
Subtract 256 from either side of the equation.
x² − 32x + 256 − 256 = 256 − 256
Simplify the equation.
x² - 32x = 0
Factor and set the factors to 0.
x = 0 or x = 32
The answer is x = 0 or x = 32.
I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.
Good luck ^^
I need help with this
Answer:
40 feet by 30 feet
Step-by-step explanation:
40 x 30 = 1200
40 is the length of the wall
30 is the height of the wall and is 3/4 of 40
what is the greatest common factor of 32 ab cubed and 40 a squared
Answer:
GCF 32 and 40
Step-by-step explanation:
GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0
What is the value of n? 20 points!
Answer:
5 only
Step-by-step explanation:
its the absolute value
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
Find The area of the parallelogram
Answer:
209 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 19 * 11
A =209
Please Help! ASAP! WiLL GIVE BRAINLIEST
Answer:
0.33
Step-by-step explanation:
0.8 of 5 is 0.32768 which rounds to 0.33. Thus, the value of x of 0.33
a. Two local supermarkets sell watermelons grown at McDowell's
farm. But Biggy Market sells their watermelons for $3.99 each,
regardless of size, whereas Harmless Trail Market sells their
watermelons for $0.19 per pound. For what weight will a
watermelon at Harmless Trail cost the same as any watermelon at
Biggy? If the largest watermelon grown at McDowell's farm
weighs 18 pounds, at which place should you buy your
watermelons?
Answer:
For the watermelon at Harmless to cost the same as any watermelon at Biggy, the watermelon needs to be 21 pounds.
You should buy your watermelon at Harmless.
Step-by-step explanation:
1. So in order to figure out the number of pounds, you need to divide 3.99 by 0.19 which should give u 21 pounds.
2. So in order to figure out where u should buy the watermelon from, u have to do 18 pounds times $0.19 which should give u $3.42 at Harmless while at Biggy it would cost $3.99
Select Yes or No to state whether each data set is likely to be normally distributed.
number of tables in Honeycomb Cafe
number of patrons in Honeycomb Cafe at noon
number of minutes it takes to be served at Honeycomb Cafe
Answer:
number of tables in Honeycomb Cafe- No
number of patrons in Honeycomb Cafe at noon- No
number of minutes it takes to be served at Honeycomb Cafe- Yes
Step-by-step explanation:
Normal Distribution is for continuous data.
time is continuous but no. of tables and patrons is discrete
Which is closest to the area of the shaded region in the figure, in
square units?
Answer:
Where is the picture?
Step-by-step explanation:
Please and thank you
Find the product.
2 1/3⋅3 1/2
Write the answer as a mixed number.
Answer:
Step-by-step explanation:
[tex]2\frac{1}{3}*3\frac{1}{2}=\frac{7}{3}*\frac{7}{2}\\\\=\frac{7*7}{3*2}\\\\=\frac{49}{6}\\\\=8\frac{1}{6}[/tex]
identify the justification for each step
Answer:
1. Given
2. Addition property of inequality
3. Division property of inequality
4. Square root property
Step-by-step explanation:
The first equation is always going to be the given since it hasn't been solved yet, on the next step you had to get rid of the 1 so you had to add 1 to both sides, this is called addition property of inequality, then to isolate the x you had to divide both sides by 4, this is called division property of inequality and lastly you had to do the opposite of squaring a number, which is taking the square root. Hope this helped.
Courtney recorded her friends' shoe sizes. 4, 8, 7, 10, 12, 9, 8, 5 What was the interquartile range of the shoe sizes? A. 3.5 B. 6.0 C. 8.0 D. 9.5
Answer:
Step-by-step explanation:
Hello!
The Interquartile range (IQR) is a measurement of dispersion, it is the "distance" between the third quartile and the first quartile.
IQR = Q₃ - Q₁
Data 4, 5, 7, 8, 8, 9, 10, 12 (ordered from least to greatest)
n= 8
The first quantile separates the bottom 25% from the top 75%
First, you calculate the position of the quartile:
Position Q₁= (n+1)/4= (8+1)/4= 2.25
4, 5, 7, 8, 8, 9, 10, 12
The 1st quartile is between the 2nd and 3rd observation, so the next step is to calculate the average between the two observations to get the value of the quartile:
Q₁= (5+7)/2= 6
The third quantile separates the bottom 75% from the top 25%
First, you calculate the position of the quartile:
Position Q₃= (n+1)*(3/4)= (8+1)*(3/4)= 6.75
4, 5, 7, 8, 8, 9, 10, 12
The 3rd quartile is between the 6th and 7th observation, so the next step is to calculate the average between the two observations to get the value of the quartile:
Q₃= (9+10)/2= 9.5
IQR = Q₃ - Q₁= 9.5-6= 3.5
The correct answer is A.
I hope this helps!
Help!?! I've been trying for the past half hour:/
Answer:
8 units.
Step-by-step explanation:
To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:
f(x)= 2(0)²-4(0)+6 ---> f(x)= 6
Therefore, the y-intercept of the first equation is (0,6).
-------------------------------------------------------------------------------
In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.
When we find the difference between the two, we get:
6-(-2)= 8.
is -3 an expression
Answer:
yeah it is an expression
Explanation:
An expression may refer to any of the following:
A combination of letters, numbers, or symbols used to represent a value of a variable. ..