Answer:
it is 1:5
Step-by-step explanation:
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the
ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Ratio of red paint to white paint in the paint color = 4 : 20
= 4/20
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 1 : 5
Ratio of red paint to white paint in the paint color = 5 : 25
= 5/25
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 7 : 35
= 7/35
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 8 : 40
= 8/40
= 1/5
= 1 : 5
Write the equation of the line parallel to 4y - x = -20 that passes through the point (8,3).
Answer:
y= ¼x +1
Step-by-step explanation:
Rewriting the equation into the slope-intercept form (y= mx +c, where m is the gradient and c is the y- intercept):
4y -x= -20
4y= x -20 (+x on both sides)
y= ¼x -5 (÷4 throughout)
Thus, slope of given line is ¼.
Parallel lines have the same gradient.
Gradient of line= ¼
y= ¼x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 8, y= 3,
3= ¼(8) +c
3= 2 +c
c= 3 -2
c= 1
Hence the equation of the line is y= ¼x +1.
[tex]frac{12(x+y)^{3} }{9(x+y)}[/tex]
LIn runs for 25 sec at 8.2 meters per second . What is her finish point?
Answer:
205 meters
Step-by-step explanation:
25 * 8.2 = 205
A man invests $ 16800 in savings plan that pays simple interest at a rate of 5% per annum. Find the Tim’s taken for his investment to grow to $18900
Answer:
2.5 years
Step-by-step explanation:
The given amount invested, which is the principal, P = $16,800
The simple interest rate, R = 5% per annum
The intended total value of the investment, A = $18,900
The simple interest on the principal, I = A - P
∴ I = $18,900 - $16,800 = $2,100
The formula for the simple interest, I, is given as follows;
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Therefore, we have;
[tex]T = \dfrac{I \times 100}{P \times R}[/tex]
Plugging in the values, gives;
[tex]T = \dfrac{2,100 \times 100}{16,800 \times 5} =2.5[/tex]
The time it will take the investment to grow to $18,900 is T = 2.5 years
he area of a rectangle is 44m , and the length of the rectangle is less than twice the width. Find the dimensions of the rectangle.
Answer:
4m x 11m
Step-by-step explanation:
4 is your width. 11 is your length.
4 x 4=16 > 11
Ben franklin is an electrician that lighting
XxFazexX Ben Franklin is Goated.
The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the longer leg.
Answer:
24 meters
Step-by-step explanation:
Use the pythagorean theorem
18² + x² = (x + 6)²
Expand
324 + x² = x² + 12x + 36
Subtract x² from both sides
324 = 12x + 36
Subtract 36 from both sides
288 = 12x
Divide both sides by 12
24 = x
24 meters
Solve the inequality 6 is greater or equal than m- 1
Answer:
7 ≥ m OR m ≤ 7
Step-by-step explanation:
You can actually solve this in two ways , either :
6 ≥ m - 1
6 + 1 ≥ m
7 ≥ m
OR
m -1 ≤ 6
m ≤ 6 + 1
m ≤ 7
Both are correct.
What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?
Answer:
The complete question can be found online.
The missing information is:
Carson drove a total distance of 120km, he initially has 30L of fuel on his tank, and his car efficiency is 100 cm^3/km
Remember that 1000cm^3 = 1 L
then:
100cm^3 = 0.1L
This means that he uses 0.1 L per kilometer.
The equation that shows how many liters of fuel he will have is:
initial fuel - consumed fuel.
We know that the initial fuel is 30 liters.
And the consumed fuel will be the amount of fuel he used to drive the 120 km
Remember that for each km, he consumes 0.1 L of fuel.
Then for the 120km he used 120 times 0.1 L of fuel, so he used a total of:
120*0.1 = 12 L of fuel
Then the remaining fuel in the tank is:
30 L - 12 L = 18L
There are 18 L of fuel in the tank.
Answer:
Should be 30-100/1000*120
Step-by-step explanation:
find the area of the triangle
Answer:
Formula for area of a triangle= L*H/2
Step-by-step explanation:
Let's say your triangle has an A length of 15 and your B height is 12. You then multiply your length and height to get 180. Then you divide your answer by 2 and get 90.
Hope this helps!! :)
Which expression is equivalent to 3/2?
Answer: the answer is D. I took the test & got it right
Step-by-step explanation:
The expression is equivalent to 3/2 will be;
⇒ 3y/(2y - 6) + 9/(6 - 2y)
Option D is true.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Equivalent expression is 3/2.
Now,
Let the expression is;
⇒ 3y/(2y - 6) + 9/(6 - 2y)
Solve the expression as;
⇒ 3y/(2y - 6) - 9/(2y - 6)
⇒ (3y - 9) / (2y - 6)
⇒ 3 (y - 3) / 2 (y - 3)
⇒ 3/2
So, The expression is equivalent to 3/2 will be;
⇒ 3y/(2y - 6) + 9/(6 - 2y)
Option D is true.
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Help me out please, thanks
Hello!
f(x) = x² + 12x <=>
<=> a = 1, b = 12 <=>
<=> x = -12/2×1 <=>
<=> x = -6 <=>
<=> f(-6) = -36 <=>
<=> (-6; -36)
Good luck! :)
solve (algebra 1)− 0.32 + 0.18 = 0.25 − 1.95
Answer:
0.50=1.7. They do not equal each other
Step-by-step explanation:
Thats what I got from this question
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Answer:
The point is inside. I used Desmos and it showed this.
aand (-4,2) can be placed inside the circle.
Step-by-step explanation:
Which of the following statements considered as always true?
A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only
What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7)
Answer:
x = 8Step-by-step explanation:
Given:
log₅ (10x - 1) = log₅ (9x + 7)10x - 1 = 9x + 710x - 9x = 7 + 1x = 8▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\sf{log_{5}}(\tt{10x-1})=\sf{log_{5}}(\tt{9x+7})\\\\10x-1=9x+7\\\\10x-9x=7+1\\\\\pmb{\green{\underline{\sf{x=\frak{8}}}}}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
[tex]x = 2 \\ y = 7[/tex]
is the answer to:
[tex]y = 11 - 2x \\ 4x - 3y = - 13[/tex]
_________________________________________
[tex]x = 5 \\ y = 2[/tex]
is the answer to:
[tex]2x + y = 12 \\ x = 9 - 2y[/tex]
_________________________________________
[tex]x = 3 \\ y = 5[/tex]
is the answer to:
[tex]2x + y = 11 \\ x - 2y = - 7[/tex]
_________________________________________
[tex]x = 7 \\ y = 3[/tex]
is the answer to:
[tex]x + 3y = 16 \\ 2x - y = 11[/tex]
Which expressions are in the simplest form? Check all that apply.
(Please help, I've been stuck on this all afternoon)
Answer:
All options are correct.
Step-by-step explanation:
We have to find the expression which are in the simplest form.
A.[tex]x^{-3}+y^3[/tex]
The expression cannot solve further.
Therefore, the given expression is in the simplest form .
B.[tex]\frac{1}{x^4}[/tex]
The expression cannot solve further.
The given expression is in the simplest form.
C.[tex]\frac{w^7}{x^2}[/tex]
[tex]x^2[/tex] cannot divide [tex]w^7[/tex].
The expression cannot solve further.
Hence, the given expression is in the simplest form.
D.[tex]a^{-9}[/tex]
The expression cannot solve further.
The given expression is in the simplest form.
E.[tex]\frac{1}{a^2}+b^2[/tex]
The expression cannot solve further.
Hence, the given expression is in the simplest form.
F.[tex]\frac{1}{b^5}[/tex]
The expression cannot solve further.
Hence, the given expression is in the simplest form.
Hence, all options are true.
help me solve this problem please
Step-by-step explanation:
nope guy but little you now
What is the surface area of the rectangle or pyramid below 15 15 15
Answer:
correct answer is 1)675 units^2
Someone please help me on this and please tell me the answer directly please !!
Answer:
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ¯ツ
What is the coefficient of x^8 in the expansion of (x+4)^12 ?
Can someone help me with this question and show me how to solve them pleases?
Answer:
126720x⁸
Step-by-step explanation:
explanations are in the images above .. you can reach me personally for expanded help
A basketball court measures 998 inches on the sides while the baseline stretches 700 inches. There is a circle in the middle of the court that has a diameter of 72 inches. The team can fit 14 people in the circle at one time. How many people can fit on a court?
698,600 people
50,000 people
1296 people
2402 people
Answer:
2402 people.
Step-by-step explanation:
Since a basketball court measures 998 inches on the sides while the baseline stretches 700 inches, and there is a circle in the middle of the court that has a diameter of 72 inches, and the team can fit 14 people in the circle at one time To determine how many people can fit on a court, the following calculation must be performed:
Area of a circle:
3.14 x (72/2) ^ 2 = X
3.14 x 36 ^ 2 = X
3.14 x 1.296 = X
4,069.44 = X
Area of a rectangle:
998 x 700 = X
698,600 = X
4,069.44 / 14 = 290.67
698,600 / 290.67 = 2,402
The graph of F(X) shown below resembles the graph of G(x)-, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
F(x) = 2
G(X) = 1x1
5
-5
The function F(x) would be F(x) = 0.2x² - 3.
What is Function?A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).
We are given a graph of the function G(x) as:
G(x) = x²
We are required to determine a potential representation of the function F (x).
We are aware that the function F(x) graph is a horizontal extension of the function G(x).
This indicates that "k" is the factor that is multiplied by G(x).
where 0< k <1.
The graph is also 3 units vertically down, which causes the graph.
So, the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:
F(x) = 0.2x² - 3
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PLEASE HELP THIS IS MY LAST QUESTIONNNN
- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.
- How many kilowatt-hours of electricity did Dalton use?
Answer:
500 kilowatt-hours.
Step-by-step explanation:
Let k = number of kilowatt-hours.
[tex]0.15k+30=105\\0.15k=75\\k=500[/tex]
Therefore, Dalton used 500 kilowatt-hours of electricity.
Which property can be used to justify the statement?
Answer:
Symmetric Property of Equality
Step-by-step explanation:
The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other side.
Hope you understood
Please mark me as brainliest
Thank You
One group of new freshmen is given a study-skills training course during the first week of college and a second group does not receive the course. At the end of the semester, the grade point average is recorded for each student. For this study, what is the dependent variable
Answer:
The dependent variable is the grade point average recorded for each student.
Step-by-step explanation:
The dependent variable is defined as the variable that is to be tested or even measured in an experiment.
In this question, At the end of the semester, the variable that is being tested is the grade point average for each student.
Thus it is the dependent variable.
[tex]solve : - \\ \\ (2 ^{2} + 4 {}^{2}) = {?}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {20}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] = ( {2}^{2} + {4}^{2} )[/tex]
[tex] = [(2 \times 2) + (4 \times 4)][/tex]
[tex] = (4 + 16)[/tex]
[tex] = 20[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Thank\:you! }}{\orange{❦}}}}}[/tex]
The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?
Step-by-step explanation:
Hey there!
According to the question;
Perimeter of rectangle (p) = 154 m
Let the breadth of rectangle be "X" then length will be 2x+2.
Then;
Perimeter (p) = 2(l+b)
154 = 2((2x+2) + x)
154 = 2(3x+2)
154 = 6x + 4
or, 6x = 154-4
or, X = 150/6
Therefore, X= 25.
Hence;
Length = 2*25+2 = 52 m
Breadth = 25 m
Hope it helps!
We can assume,
Perimeter of rectangle = 154 m
Breadth = x
Length = 2x + 2
Now, perimeter = 2(l+b)
[tex] \sf \to 154= 2((2x+2) + x)[/tex]
[tex] \sf \to 154 = 2(3x+2)[/tex]
[tex] \sf \to 6x = 154-4[/tex]
[tex] \sf \to x = \frac{150}{6} = 25[/tex]
Then,
Breadth = 25 m
Length [tex] \sf = 2x + 2[/tex]
[tex] \sf \to (2 \times 25) + 2[/tex]
[tex] \sf \to 52 \: m[/tex]
Solve for X.
-3/2(x-2)=45/14
Please show work.
Answer:
-1/7
Step-by-step explanation:
-3/2(x-2)=45/14
x-2=(45/14)/(-3/2)
x-2=(45/14)(-2/3)
x-2=-90/42
simplify -90/42 into -15/7
x-2=-15/7
x=-15/7+2
x=-15/7+14/7
x=-1/7
