Answer:
First brand(45%): 90 gallons
Second brand(70%): 60 gallons
Step-by-step explanation:
"The first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand: ____ gallons
Second brand: ___ gallons"
We know that 70 is 15 away from 55, and 45 is 10 away, making this a 10: 15 ratio of 70 to 45 (because the 70 can only counteract the 45 by 10, and the 45 can only counteract the 70 by 15 unless they want to overshoot the 55% average ).
This means that .4*150 is 70% and .6*150 is 45%
This means there is First brand: 90 gallons
Second brand: 60 gallons
the values of a and b
Answer:
a = 4, b = 3Step-by-step explanation:
Look at the picture.
WILL GIVE BRAINLIEST PLZZ ANSWER!!!!!!!y = 4x and y + x = 5 ??
A.)(–4, 1)
B.)(1, 4)
C.)(–3, 2)
D.)(2, 3)
The answer would be...
C
I hope this helps! :3
Explanation ~ when you count it out that would make it close to the number 5.
Answer:
C for sure but still mark Kana81 branilist just doing this for my challenge!!!
Step-by-step explanation:
the vector [ 5,1] represent the velocity of an ultralight plane what is the direction of this vector to the nearest degree
Answer:
[tex]011\degree[/tex]
Step-by-step explanation:
The direction of a vector is given by;
[tex]\theta=\tan^{-1}(\frac{y}{x})[/tex]
The given vector is <5,1>.
The x-component of this vector is 5 and the y-component is 1.
We substitute the values into the formula to obtain;
[tex]\theta=\tan^{-1}(\frac{1}{5})[/tex]
We use our scientific calculator to obtain;
[tex]\theta=11.3099[/tex]
Therefore the direction of the given angle is [tex]011\degree[/tex] to the nearest degree.
A=2.5
B=12
3a+9b=?
Please Help!
(3x2.5)+(9x12)
7.5+108
115.5
Answer:
3(2.5)+ 9(12)=
Multiply
7.5 + 108= 115.5
Step-by-step explanation:
Plzzz brainlist !!!
solve this algebra...
Step-by-step explanation:
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(\dfrac{a^x}{a^y}\right)^{x-y}=\left(a^{x-y}\right)^{x-y}=a^{(x-y)(x-y)}=a^{(x-y)^2}\\\\\left(\dfrac{a^y}{a^z}\right)^{y-z}=\left(a^{y-z}\right)^{y-z}=a^{(y-z)(y-z)}=a^{(y-z)^2}\\\\\left(\dfrac{a^z}{a^x}\right)^{z-x}=\left(a^{z-x}\right)^{z-x}=a^{(z-x)(z-x)}=a^{(z-x)^2}\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\a^{(x-y)^2}\cdot a^{(y-z)^2}\cdot a^{(z-x)^2}=a^{(x-y)^2+(y-z)^2+(z-x)^2}[/tex]
[tex]\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-y)^2=x^2-2xy+y^2\\(y-z)^2=y^2-2yz+z^2\\(z-x)^2=z^2-2zx+x^2\\\\=a^{x^2-2xy+y^2+y^2-2yz+z^2+z^2-2zx+x^2}\\\\\text{combine like terms}\\\\=a^{(x^2+x^2)+(y^2+y^2)+(z^2+z^2)-2xy-2yz-2zx}\\\\=a^{2x^2+2y^2+2z^2-2xy-2yz-2zx}\qquad\text{distributive}\\\\=a^{2(x^2+y^2+z^2)-2(xy-yz-zx)}\\\\\text{From the equastion we know:}\ x^2+y^2+z^2=xy+yx+zx.\\\text{Therefore}\\\\=a^{2(x^2+y^2+z^2)-2(x^2+y^2+z^2)}=a^0=1[/tex]
Can someone help me pls?
Answer:
7/12
Step-by-step explanation:
Julie and Stefanie shared 1 whole candy bar. Therefore, the candybar can be represented as 1.
To find out what fraction of the candy bar Stefanie and Julie ate, simply add how much each girl ate.
Stefanie ate 1/4 and Julie ate 1/3. 1/4 + 1/3 = 7/12.
Therefore, Stefanie and Julie ate 7/12 of the candy bar. I hope this helps!
7/12
one fourth equals three twelfths and one third equals four twelfths and u add them
Tim’s height is 1m 20cm and Erica’s height is 1m. What is the simplified ratio of Tim’s height to Erica’s height?
Tim is 20 cm higher on height
Tim's height is 1m 20cm (120cm) and Erica's height is 1m (100cm). The simplified ratio of their heights is 6:5.
To find the simplified ratio of Tim's height to Erica's height, we need to convert both heights to the same unit of measurement (centimeters) before calculating the ratio.
Tim's height = 1m 20cm = 100cm + 20cm = 120cm
Erica's height = 1m = 100cm
Now, we can calculate the ratio of Tim's height to Erica's height:
Ratio = Tim's height / Erica's height
Ratio = 120cm / 100cm
Ratio = 6/5
The simplified ratio of Tim's height to Erica's height is 6:5.
To know more about ratio:
https://brainly.com/question/13419413
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3y + 15x = - 15
(a) y = 5x - - 5
(b) y = -5x - 5
(c) y = -5x + 5
(d) y = 5x + 5
Answer:
b
Step-by-step explanation:
Given
3y + 15x = - 15
Isolate 3y by subtracting 15x from both sides
3y = - 15x - 15 ( divide all terms by 3 )
y = - 5x - 5 → b
Answer:
B
Step-by-step explanation:
Adeline is wrapping a gift for her mother in a box with the dimensions shown. What is the minimum amount of wrapping paper Adeline will need to completely cover the gift box. (Explain Clearly) (Answer 4/30 - 5/2)
Answer:
31 feet 4 inches or 376 inches
Step-by-step explanation:
First you have to find the surface area of each side.
Front = (10 x 8) 80
Back = (10 x 8) 80
Left side = (6 x 8) 48
Right side = (6 x 8) 48
Top = (10 x 6) 60
Bottom = (10 x 6) 60
Then, you add them all up and you get your answer!
Hope I helped! ; )
Answer:
Step-by-step explanation:
hope you got the answer
Lisa bought a computer on sale for 30 percent off of 599 dollars. What is the discount
Answer:
The discount is 179.70
Answer:
$419.30
Step-by-step explanation:
599*.30=179.7
599-179.7
=$419.30
if F(x) = x+6 and G(x) = x^4, what is G(F(x))?
Answer:
c because f(x) is x+6 and the bracket means multiply
PLEASE HELP, TWENTY POINTS!!!!!!!!!!! Ezra earns 20% commission as a sales person. He sold a grandfather clock that cost $968.70. How much commission did Ezra earn?
Answer:
193.74 is the swear
Step-by-step explanation:
What you can do is divide 20 by 10 to get 0.20. Then you multiply by 968.70
So 0.20 x 968.70 = 193.74
So 193.74 is the commission Ezra earned.
To check the answer you just add it like this 100% +20% or 0.20
Then multiply that like this 120% is 1.20, so 1.20 x 968.70 = 1,162.44
to check you just inverse it 1,162.44 - 968.70 = 193.74.
So it is accurate.
Please help fast!!!
A circle has a circumference of 10pi yards find the area in terms of pi
25pi yards squared is the area
the current temperature of 12 degrees Fahrenheit below zero is 29 degrees Fahrenheit below the high temperature of the day. what is the high temperature for the day?
A. -41 degrees Fahrenheit
B. 17 degrees Fahrenheit
C. 19 degrees Fahrenheit
D. 41 degrees Fahrenheit
Answer:
12 degrees Fahrenheit below zero is simply -12 degrees. And since -12 is lower by the number by 29 degrees, we just add 29 to -12
Step-by-step explanation:
-12
+29
=17
The high temperature of the day is +17 degrees.
Pls mark brainliest :)
The temperature of the day is 17 degrees Fahrenheit.
Given data:
To find the high temperature of the day, add the temperature difference to the current temperature.
The temperature difference is 29 degrees Fahrenheit below the high temperature of the day.
Given that the current temperature is 12 degrees Fahrenheit below zero, determine the high temperature by adding the temperature difference:
High temperature = Current temperature + Temperature difference
On simplifying the equation:
High temperature = -12 degrees Fahrenheit + 29 degrees Fahrenheit
High temperature = 17 degrees Fahrenheit
Hence, the high temperature for the day is 17 degrees Fahrenheit.
The correct answer is B. 17 degrees Fahrenheit.
To learn more about equations:
https://brainly.com/question/19297665
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Given: f(x)=x^2, g(x)=x+6, h(x)=7
Find h{g[f(x)]}
Step-by-step explanation:
[tex]f(x)=x^2,\ g(x)=x+6,\ h(x)=7\\\\h(x)=7\ \text{It's the constant function. Therefore}\ h\{g[f(x)]\}=7[/tex]
Please help me!!!
The volume of a cube is 125 cubic centimeters. a rectangular prism with three different whole number dimensions has the same volume. what are the dimensions of the rectangular prism?
Answer:
375
Step-by-step explanation:
Multiply 3x125=375cu
A rectangular prism with three different whole number dimensions has the same volume will be 1 cm by 5 cm by 25 cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a cube is 125 cubic centimeters.
A rectangular prism with three different whole number dimensions has the same volume.
Then the dimension of the rectangular prism will be
Volume of rectangular prism = Volume of cube
Volume of rectangular prism = 125
Volume of rectangular prism = 1 x 5 x 25
More about the geometry link is given below.
https://brainly.com/question/7558603
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Translating Expressions 2
Drag the item from the item bank to its corresponding match.
Use these choices
Five divided by x
Five times x.
The number five plus x
The number five minus x
ten times x plus three.
three fourths of x plus 2.
three times x plus ten
two minus three fourths of x
Answer:
1. the number five plus x
2. the number five minus x
3. five times x
4. five divided by x
5. three fourths of x plus 2
6. two minus three fourths of x
7. three times x plus ten
8. ten times x plus three
Step-by-step explanation:
Determine whether the given lengths can be sides of a triangle. HELLLLP MEEEEE GUYS ;)))
Answer:
A, both can be sides of a triangle
Step-by-step explanation:
you add up the lowest side lengths and see if they are more than the largest side lengthif they are then they can be side lengthsAnswer:
B
Step-by-step explanation:
7^2=49 40^2=1600 1600+49=1649 is not equal to 41^2 so its not a right triangle
12/4=3 16/4=4 20/4=5 3,4,5 is one of the combinations of a right triangle
A triangle with sides of lengths 32,60,68 is a right triangle ? True or false
Answer:
True
Step-by-step explanation:
Using the converse theorem of Pythagoras
If the longest side in a triangle is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 68
68² = 4624
and 32² + 60² = 1024 + 3600 = 4624
Hence triangle is right.
Answer:
True
Step-by-step explanation:
The other user is correct!
Which function has a vertex at (2,6)
Answer:
B, f(x) = 2|x - 2| + 6
Step-by-step explanation:
the functions shown have vertical stretches, horizontal shifts, and vertical shifts as a transformation
we do not need to focus on the stretch, and moreso the shifts
the horizontal shift takes place on the x-axis and it is written with the parent function (in this case the parent function is |x|). when the shift is negative (ex: x -2), this means that the x-coordinate would be positive. if the shift is positive (ex: x + 2) the x-coordinate would be negative
the vertical shift takes place on the y-axis and unlike the horizontal shift, is written on the outside of the parent function, like the +6 and -6 in each of the functions we are given. when a shift is positive (ex: +6), the y-coordinate is positive and when a shift is negative (ex: -6) the y coordinate is negative
using this information, we can see that 2|x - 2| + 6 fits this criteria, as we have a positive vertex
therefore the answer is B, f(x) = 2|x - 2| + 6
The function that has a vertex at (2, 6) is:
f(x) = 2|x-2| + 6
To find the function with a vertex at (2, 6), we need to examine the general form of the absolute value function and how it affects the position of the vertex.
The general form of the absolute value function is f(x) = a |x - h| + k, where (h, k) represents the vertex of the absolute value function.
Given the vertex (2, 6), we have h = 2 and k = 6.
Now, let's analyze each given function:
1. f(x) = 2|x-2| - 6
This function has a vertex at (2, -6), not (2, 6). So, it's not the correct function.
2. f(x) = 2|x-2| + 6
This function has a vertex at (2, 6), which matches our given vertex. So, it could be the correct function.
3. f(x) = 2|x + 2| + 6
This function has a vertex at (-2, 6), not (2, 6). So, it's not the correct function.
4. f(x) = 2|x + 2| - 6
This function has a vertex at (-2, -6), not (2, 6). So, it's not the correct function.
Therefore, the function that has a vertex at (2, 6) is:
f(x) = 2|x-2| + 6
Isaac and William, in the mall parking lot, have found 11 quarters, 3 fifty-cent pieces, 36 dimes, 40 nickels, and 134 pennies. What is the experimental probability that the next coin they find is worth more than ten cents?
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
The experimental probability is based on what already happened.
So we see that both of them found a total of 11 + 3 + 36 + 40 + 134 = 224 coins.
The coins that are worth MORE THAN 10 cents are 11 quarters and 3 fifty-cent pieces (we exclude dimes because we want MORE THAN 10 cents, NOT 10 cents exactly).
So 11 + 3 = 14 coins are worth MORE THAN 10.
So the probability of finding one worth more than 10 cents next is 14/224 = 1/16
Find the volume of the square pyramid shown. Round to the nearest whole number. The diagrams are not drawn to scale. Pleaseeee help
The answer is 392
Volume (for pyramid) = Length(width) Hight/3
Answer:
392 cm³
Step-by-step explanation:
The volume of a pyramid is one third the height times the area of the base.
V = ⅓ h A
The base is a square, so the area is the width times length.
V = ⅓ h wl
Given that h = 6 cm, w = 14 cm, and l = 14 cm:
V = ⅓ (6 cm)(14 cm)(14 cm)
V = 392 cm³
A 9-meter piece of wire costs $8.64. What is the unit price?
Answer:
$0.96
Step-by-step explanation:
To find the unit price is to find the price of 1 meter.
9m = $8.64
1 m = 8.64 ÷ 9 = $0.96
Please help me
You have $1 and earn $0.25 for each cup of orange juice you sell. Write an equation in two variables that represent the total amount A (in dollars) you have after selling j cups of orange juice. ASAP I need it to turn in today
Answer:
A = 0.25*j + 1
Step-by-step explanation:
The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.
Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling j cups of orange juice.
The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.
The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;
A = 0.25*j + 1
the amount after selling y cups is can be given by the equation [tex]x = 1 + 0.25y[/tex]
Let x be the amount we have and y be the number of cups of orange juice sold.
We start with $1, so this is your initial amount. For each cup of orange juice sold, you earn $0.25.
Therefore, total earnings by selling y cups will be:
[tex]0.25y[/tex]
The equation can be written as follows:
[tex]x = 1 + 0.25y[/tex]
Thus the amount after selling y cups is can be given by the equation [tex]x = 1 + 0.25y[/tex]
Ebenezer spent 3/8 of his allowance on Saturday and 1/5 on Sunday. What fraction of his allowance did he spend?
Answer:
He spent [tex]\frac{23}{40}[/tex] of his allowance
Step-by-step explanation:
The fraction Ebenezer spent on allowance is on Saturday is [tex]\frac{3}{8}[/tex]
The fraction he spent on Sunday is [tex]\frac{1}{5}[/tex]
The fraction of his allowance he spent is the fraction he spent on Saturday plus the fraction he spent on Sunday.
[tex]=\frac{3}{8}+\frac{1}{5}[/tex]
The LCD is
[tex]=\frac{3\times 5+8\times1}{40}[/tex]
[tex]=\frac{15+8}{40}[/tex]
[tex]=\frac{23}{40}[/tex]
Based on the side lengths alone, could the triangles be similar?
No, the sides are not proportional.
Yes, the sides are in the ratio 2:5.
Yes, the sides are in the ratio 4:5.
Yes, the sides are in the ratio 1:5.
Answer:
Yes, the sides are in the ratio 2:5.
Can you mark me as the brainliest??
Answer: The correct option is
(B) Yes, the sides are in the ratio 2:5.
Step-by-step explanation: We are given to check whether the triangles can be similar based on the side lengths alone.
From the figure, we note that
the sides lengths of the triangle RST are
RS = 3.0 cm, ST = 6.0 cm and RT = 6.4 cm.
and the corresponding side lengths of triangle XUW are
XU = 7.5 cm, UW = 15.0 cm and XW = 16.0 cm.
So, the ratio of the corresponding sides of the two triangles are as follows :
[tex]\dfrac{RS}{XU}=\dfrac{3}{7.5}=\dfrac{30}{75}=\dfrac{2}{5},\\\\\\\dfrac{ST}{UW}=\dfrac{6}{15}=\dfrac{2}{5},\\\\\\\dfrac{RT}{XW}=\dfrac{6.4}{16}=\dfrac{64}{160}=\dfrac{2}{5}.[/tex]
Therefore, we get
[tex]\dfrac{RS}{XU}=\dfrac{ST}{UW}=\dfrac{RT}{XW}=\dfrac{2}{5}=2:5.[/tex]
Hence, the corresponding sides are proportional and they are in the ratio 2 : 5.
Thus, (B) is the correct option.
math help here please
Answer:
the answer is D. It does not have enough information
The length of the first side of a triangle is 3 more than twice the second side, and three half of the third side. Find the lengths of the sides if the perimeter of the triangle is 31.
Answer:
x = 15
y = 6
z = 10
Step-by-step explanation:
Okay, let's set up the equation(s).
x = 3 + 2y
x = 3/2z
x + y + z = 31
With some algebra that God knows how came through my mind, I got this:
x = 15
y = 6
z = 10
What does it take to get some Brainliest on here? I just need 5
Answer: i will help ;)
friend me hurry
Hello there!
You need to have good answers that are reliable and correct. It depends on the person asking the question, some people give Brainliest and and some people don't. As long as you give good detailed explanations, you are bound to get Brainliest on your answers! :)
Sakiya surveyed students in her school about their favorite sports.On Monday,she randomly surveyed 85 students in the cafeteria.On Tuesday,she surveyed 15 of her teammate on the soccer team.Which statement best describes the samples Sakiya used?
A)Neither sample represents the school population.
B)Both samples likely represent the school population.
C)The data gathered on Tuesday most likely represent the school population,but the data gathered on Monday most likely do not.
D)The data gathered on Monday most likely represent the school population,but the data gathered on Monday most likely do not.
Pls help
Answer:
I think its D
Step-by-step explanation:
Also Do you mean D)The data gathered on Monday most likely represent the school population,but the data gathered on Tuesday most likely do not?
The data gathered on Monday by randomly sampling 85 students will most likely represent the school population, whereas the data from Tuesday, consisting of Sakiya's soccer teammates, is a convenience sample and likely does not represent the school population.
Explanation:The student's question involves understanding how well a sample represents a larger population in statistical surveying. In Sakiya's case, the first sample where she surveyed 85 randomly chosen students in the cafeteria on Monday is more likely to represent the school population because it was randomly selected from a broader, more diverse group. This is in contrast to the sample gathered on Tuesday, which includes only 15 of her soccer teammates and is a convenience sample, since it's composed of individuals who are readily accessible to the researcher but may not represent the target population accurately.
Therefore, it's reasonable to conclude that the Monday sample is better at representing the entire school population due to the randomness of the selection process. In contrast, the Tuesday sample is biased and less representative because it consists of a specific subgroup within the school, i.e., soccer team members, who may share similar interests that do not necessarily reflect the interests of the entire school population.