Answer:
i. 13.23
ii. 20.58
iii. 76.77
iv. 84.48
Step-by-step explanation:
Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.
i. √(175.01) = 13.229 = 13.23
ii. √(423.74) = 20.5849 = 20.58
iii. √(5893.27) = 76.767 = 76.77
iv. √(7136.8) = 84.4795 = 84.48
Kindly note that the approximation to two decimal places are the figures after the equal to
You have an 8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint. To create a certain shade of green, you need a paint mixture that is 80% yellow. How many pints of yellow paint do you need to add to the mixture? Write an equation to model this situation. Solve your equation.
Answer:
You need to add 12 pint of yellow.
Step-by-step explanation:
This is the method I used:
There is 4 pint of Yellow (Y) and 4 pint of Blue (B)
because they said is in equal amounts, so they are 50% each.
We need 80% Y and 20% B
so 4:20 = x=80 (4 pints is 20% as "how many pints" is 80%)
So x = 16
We already have 4 pint of Yellow, so we need more 12.
6.4 pint of yellow paint we need to add to the mixture.
What is percentage?"A percentage is a number or ratio that can be expressed as a fraction of 100."
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint.
Let we need 'x' amount of yellow paint.
To create a certain shade of green, you need a paint mixture that is 80% yellow.
So, we get an equation [tex]\frac{x}{8}\times 100 =80[/tex]
We solve above equation.
[tex]\Rightarrow \frac{x}{8}\times 100 =80\\\\\Rightarrow \frac{x}{8} = \frac{80}{100}\\\\ \Rightarrow x = 0.8\times 8\\\\\Rightarrow x = 6.4~~pints[/tex]
Therefore, 6.4 pint of yellow paint we need to add to the mixture.
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Which of the following could be the side lengths of similar triangles?
Question 5 options:
1, 2, 3 and 4, 5, 6
2, 3, 8 and 4, 6, 16
1, 1, 7 and 2, 3, 14
5, 10, 20 and 5, 10, 15
Answer:
1rst option
Step-by-step explanation:
What is the sum of 2.5 × 104 and 3.4 × 104? (1 point)
Answer:
5.9× 10^4
Step-by-step explanation:
I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10." Please be sure to use the symbol " ^ " to express exponentiation.
The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4
or
5.9× 10^4
–4x – 7 = y x2 – 2x – 6 = y Which statement is true? There are no real number solutions. There is one unique real number solution at (–1, –3). There is one unique real number solution at (1, –3). There are two real number solutions at (–1, –3) and (1, –7).
Answer:
There is one unique real number solution at (–1, –3)Step-by-step explanation:
Given the two linear equation
–4x – 7 = y ...1
x² – 2x – 6 = y ...2
Equating the left hand side of both equations since they are equal to the same variable y will give;
[tex]-4x-7=x^{2} -2x-6\\collecting\ the\ like\ terms\\x^{2} -2x+4x-6+7 = 0\\x^{2} +2x+1 = 0\\x^{2} +x+x+1 = 0\\x(x+1)+1(x+1)=0\\(x+1)^{2}=0\\ taking\ square\ root\ of\ both\ sides\\x+1 = 0\\x = -1\\[/tex]
Substituting x=1 into equation 1 we have;
[tex]y=-4(-1)-7\\y=4-7\\y = -3[/tex]
This means there is only one unique real number solution at (-1, -3)
Answer:
The answer is B
Step-by-step explanation:
Last month a cafe had 3200 customers 600 of them ordered gluten-free meals
Answer: 18.75%
Step-by-step explanation:
Here is the complete question:
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
To find the percentage of the customers who ordered gluten-free meals, we will divide the number of people who ordered glutton free meal by the total number of customers and then multiply by 100. This will be:
= 600/3200 × 100
= 0.1875 × 100
= 18.75%
Under what condition is it NOT possible for an integer a to be divided by an integer b ?
Answer:
An integer, a, cannot be divided by an integer, b, when [tex]b=0[/tex]
Step-by-step explanation:
There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.
As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.
PLS HELP ME
Which expression is equivalent to (4.5×102)+(6.0×103) and written in scientific notation?
A
1.05×106
B
2.7×106
C
6.45×103
D
10.5×105
Answer:
C
6.45×103
Step-by-step explanation:
have a good day
An equivalent expression in scientific notation is,
⇒ 6.45 × 10³
Option C is true.
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
Given that;
The expression is,
⇒ (4.5×10²) + (6.0×10³)
Now, We can simplify the expression as;
⇒ (4.5×10²) + (6.0×10³)
⇒ (4.5×10²) + (60×10²)
⇒ (4.5 + 60) × 10²
⇒ 64.5 × 10²
⇒ 6.45 × 10³
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Point A is at (3, 4) and point M is at (5.5,0).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
the real answer is (8,-4)
Step-by-step explanation:
If the midpoint of the AB is (5.5, 0) then the coordinate of the B will be given as (8, -4).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A is at (3, 4) and point M is at (5.5,0).
Point M is the midpoint of points A and B.
Then the point of B is given as
[tex]\rm (x_1,y_1) = (2x-x_2, 2y-y_2)\\\\(x_1,y_1) = (2\times 5.5 - 3, 2\times 0-4)\\\\(x_1,y_1) = (8, -4)[/tex]
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A stock investment went up $25\%$ in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be back to its original price at the beginning of 2006?
Answer:
20%
Step-by-step explanation:
Let x represent the initial value of the stock at the beginning of 2006. And y the value at the end of 2006.
When it went up by 25% in 2006;
y = x + 25% of x = x + 0.25x = 1.25x
For the value to go back to the original price, it has to decrease from y to x;
y = 1.25x
The percentage decrease from y to x is;
= (y-x)/y × 100%
Substituting the values;
= (1.25x -x)/1.25x × 100%
= 0.25x/1.25x × 100%
= 0.2 × 100%
= 20%
Therefore, it will have to go down 20%
HELP ASAP I AM GIVING BRAINETEST
Answer:
7 / 6
Step-by-step explanation:
2 / 6 + 5 / 6 = 7 / 6
Covert one third into two sixths
In class of 24 students, 1/3 of the class has brown eyes. How many students have brown eyes?Immersive Reader
Answer:
8 have brown eyes
Step-by-step explanation:
you do the total number of student over the faction
24/3=8
Answer:
8 students in the class have brown eyes
Step-by-step explanation:
to find how many students in the class has brown eyes multiply 3/4 with total number of students in the class.
1/3 ×24=8
Which equations have a leading coefficient of 3 and a constant term of -2?
Answer:
Step-by-step explanation:
So you just need:
Number here = (3 * variable ^ number greater than 2) - 2
A bag contains 3 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be red?
Answer:
0.091
Step-by-step explanation:
So you have 12 marbles in all.
If you take out 1, there is a 1 / 3 chance that it is red.
If you take out the second one, there is a 3 / 11 chance it is red if the first one is red.
1 / 3 * 3 / 11 = 1 / 11
0.091
Joshua has 30 trading cards. He adds 20 cards to his collection each week.
Mackenzie has 45 trading cards and adds 20 cards to her collection each week.
How many cards will each person have after 6 weeks?
Answer:
Joshua will have 150 cards.
Mackenzie will have 165 cards.
Which of the following equations are true? Select all that apply.
2
Answer: Can you explain it more please :D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the solution to the system of equations below?
y=-3x+8 and x = -6
Answer:
( - 6 , 26 )
Step-by-step explanation:
You can solve this in a number of ways, you can graph it, you can substitute the value of x into the first equation, or you can do it the elimination method.
So lets just do the substitution method because i can't do the others on here, i can't write :/.
so substitute x = -6 into the equation y = -3x + 8
y = -3(-6) + 8
y = 18 + 8
y = 26
now you know what (X) equals to and what (Y) equals to so its,
(-6,26)
2.
A gallon of paint will cover an area of 200 ft. What are
the dimensions of the largest square wall that could be
covered by that gallon?
F.
14.1 ft x 14.1 ft
15 ft x 15 ft
14 ft x 14 ft
15.8 ft x 15.1 ft
H.
J.
Answer:
Step-by-step explanation:
You multiply 14.1 times 14.1 and you get 198.81 which is the closest to 200
A bag of animal crackers contains 5 monkeys, 4 giraffes, 6 elephants, and 3 tigers. Suppose you draw a cracker at random. Find the probability of pulling a monkey cracker as a fraction.
Answer:
5/18
Step-by-step explanation:
Step one
Given data
5 monkeys,
4 giraffes,
6 elephants, and
3 tigers.
Step two
Given the sample space
S =(5, 4,6,3) = 5+4+6+3=18
Step three
the probability of pulling a card at random when picking up a card is
Pr(monkey) = 5/18
The sum of two integers is -1. The first number plus 3 times the second is 67. What are the two numbers?
Answer:
x=35
y=34
Step-by-step explanation:
x+y=-1
x+3y=67
x=-3y+67
-3y+67+y=-1
-2y+67=-1
-2y=-68
y=34
x=-35
Steven rolled a 1-6 number cube four times. What is the proballity that Steven rolled an odd number on all four rolls of
the die? (leave your answer as a reduced fraction)
Answer: 0.0625
Step-by-step explanation:
From the question, Steven rolled a 1-6 number cube four times. This means the 1-6 number cube has numbers 1, 2, 3, 4, 5 and 6. There are 3 odd numbers which are 1, 3 and 5. If the 1-6 number cube is rolled once, the probability will be:
3/6 = 1/2
Since Steven rolled the 1-6 number cube four times, the probability of getting an odd number on all four rolls of the die will be:
= 1/2 × 1/2 × 1/2 × 1/2
= 1/16
= 0.0625
100 POINTS. WILL MARK BRAINLIEST
It is a very stormy morning. Only 3/4 of the students made it to school. Another one third of the total number of those students that made it to school will be leaving for a band concert. Normally there are 36 students in class, how many will be in class that day?
I think the answer is 18 students.
Step-by-step explanation:
36 × [tex]\frac{3}{4}[/tex] = 27
27 × (1 - [tex]\frac{1}{3}[/tex]) = 27 × [tex]\frac{2}{3}[/tex] = 18
I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
Please find the question
Answer:
By distance formula ,
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB = 6.71 units
Marissa has saved $2000 to spend on airfare and hotel rooms at an all-inclusive resort. Her airplane ticket is $637 and the hotel costs $100 per night. Write and solve an inequality to show the maximum number of nights she stay at the resort on her alloted budget of $2,000.
Answer:
13
2000 -637=1,363-1300=63
Step-by-step explanation:
2(t+1) = 102(t+1)=10 t=?
Answer:
t = 9/10. Try to substitute the t value into all the t's to see if the answer is correct. Ex: 2t+2, 2(9/10) + 2
Step-by-step explanation:
First you are going to multiply the 2 with the t+1, which is 2t+2. Then you are going to do the same with the other side of the equation. 102 times t+1 is 102t+102.
Now the equation is 2t+2 = 102t+102 = 10
You are now going to combine like terms, 2t - 102t = 102 - 2 = 10
-100t = 100 = 10.
Now subtract 100 from 100 and 10, which makes it: -100t = -90
Then you are going to make the -100t = -90 to -10t = -9, finally it is t = 9/10
Answer:
t = 4
Step-by-step explanation:
can anyone slove this question.
Answer:
11%
Step-by-step explanation:
The equation would be 99=1200(r)(0.75). You would solve the equation to get the answer 11/100. Then you could convert it to a decimal to get 0.11, Then multiply the decimal by 100 to get 11.
Which of the following is a rational number?
Square root of 36, 0.93993..., square root of 85, or 3.4563728...
Answer:
It would be the square root of 36.
Step-by-step explanation:
The length of a rectangle is $3x+10$ feet and its width is $x+12$ feet. If the perimeter of the rectangle is 76 feet, how many square feet are in the area of the rectangle?
Answer:
352ft²Step-by-step explanation:
Given the length of a rectangle = 3x+10
Width of the rectangle = x+12
Perimeter of the rectangle = 76ft
For us to get the area of the rectangle we need to get the value of its length and width.
Given the perimeter of a rectangle P = 2(L+W) where;
L is the length and W is the width, on substitution
76 = 2(3x+10+x+12)
76 = 2(4x+22)
76 = 8x+44
8x = 76-44
8x = 32
x = 32/8
x = 4
Substituting x = 4 into the function of the length and width we have;
Length = 3(4)+10
Length = 22feet
Width = 4+12
width = 16feet
Area of the rectangle = Length * Width
Area of the rectangle = 22feet * 16feet
Area of the rectangle = 352ft²
$ $
The circle graph below shows the percent of students in Jim's class
that prefer each sport.
baseball: 30%
basketball: 15%
soccer: 10%
X
football: 45%
If 50 students were surveyed, how many students prefer any sport but
soccer?
Answer:
45 students
Step-by-step explanation:
To find how many students don't prefer soccer, we have to take 90% of 50. This is because 10% of the 50 students like soccer, so the percentage that don't like it is 100-10=90%. 90% of 50 = 0.9*50 = 45 students.
A. 28.1 cm squared
B. 3.8 cm squared
C. 11.3 cm squared
D. 56.2 cm squared
Answer:
A. 28.1 cm^2
Step-by-step explanation:
a = bh
a = (7.6)(3.7)
a = 28.12 cm^2
a = 28.1 cm^2
8=72
2=6
5=30
9=?
what is the value of ?
Answer:
108?
Step-by-step explanation:
Answer:
108
Step-by-step explanation:
9×12=108
8(9) is72
2(3)is 6
5(6) is 30
9( ×12 +a{6}) is 108