The equation that models this situation is z = 7.9y + 12.
A linear equation is a function that has a single variable raised to the power of 1. An example is x = 4y + 2.
Where:
2 is the constantx = dependent variable y = independent variableFrom the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.
z = 7.9y + 12
Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.
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A particular plant root grows 3.5 inches per month.How many centimeters is the plant growing each month?
Answer:1 inch = 2.54 centimeters so the answer is 3.76
Step-by-step explanation:
(1 inch = 2.54 centimeters). 0.73 centimeters 1.38 centimeters 6.04 centimeters 8.89 centimeters unsubscribe · report · tue mathematics
y=-6/5x +4
y-= -1/5x -1
Answer: (5,-2)
Step-by-step explanation:
I'm assuming the equations are:
Y=-(6/5)x +4
y = -(1/5)x -1 [Note that I changed "y-" to just "y."]
We can solve this in one of two ways: Mathematically and Graphically.
Math:
y = -(1/5)x -1
6y = -(6/5)x -6
-(Y=-(6/5)x +4)
5y = -10
y = -2
y = -(1/5)x -1
-2 = -(1/5)x -1
-1 = -(1/5)x
5 = x
x = 5
The solution is (5,-2)
Graph:
See the attached graph. The lines intersect at (5,-2)
Son características de interés que pueden medirse u observarse en los elementos de la población
a) Muestra
b) Frecuencia
c) Variable
d) Población
Order the given rational numbers from least to greatest:
-4 1/4
3.3
3 1/3
-4 1/4
-3
Answer:
-4 1/4
-4 1/4
-3 1/3
-3.3
3
Step-by-step explanation:
a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum
Answer:
Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
help me with this please and thank you
Step-by-step explanation:
a.
1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according
2) the rule:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
3) if to substitute the coordinates of A&B into the rule, then:
[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]
or 2x-y+5=0 or y=2x+5 (slope-interception form).
P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.
b. see the attached picture (the required line is red colour);
c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;
d. the domain is (-∞;+∞), the range is (-∞;+∞).
How many times does 6 go into 719 divison with partial quotient
119.833333333 times it goes into 719 119.833333333 times
Answer:
119 R5
Step-by-step explanation:
we first divide 7 by 6 and we get that it goes in once
so 1__
then after we do 7 - 6 and get a remainder of 1
we drop the 1 next to the other one and get 11
then we divide 11 by 6 and we get that it goes in once
so 11_
then after we do 11 - 6 we get a remainder of 5
we drop the 5 next to the nine and get 59
then we divide 59 by 6 and get 9
so 119
then after we do 59 - 54 and get a remainder of 5
so our answer is 119 R5
2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel
Answer: 23
Step-by-step explanation:
The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
What is the trigonometric equation?A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.
Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.
The duration of the ride is 15 min.
Let the period be T, then we can write:
h=-82.5.cos(2πt/T)+97.5
So, we must have 2π/T =3π or T=2/3 minutes
Number of complete periods
Floor(15/T)=22
Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
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"Your question is incomplete, probably the complete question/missing part is:"
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
The duration of the ride is 15 min.
How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.
Please help. I need to get this right.
Answer:
∡SYZ = 34.2°
∡XYZ = 68.4°
Step-by-step explanation:
∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS
∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ
Mark has 403 coins. He has 89 more than his sister. How many coins do they both have altogether
You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year
Answer:
24 x 12 = 288 hours
Step-by-step explanation:
(ASAP) i also need help with this plss
Answer:
The right answer is 32
Step-by-step explanation:
3/4 × 32 = 24
Answer:
18
Step-by-step explanation:
divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18
Which of the following statements is NOT true?
it wont let me loo at it sorry but it seems easy.
How can the careers or hobbies of your family members help you earn
scholarship awards?
The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.
That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.
Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.
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Give me some tips for the Shsat that is tomorrow.
Answer:
1. Sleep well
2. Eat a proper meal to increase your energy
3. Do the ones you are good at first. Skip the harder questions
4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.
5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.
6. Have faith in yourself. :)
Step-by-step explanation:
Evaluate if y = 4 and z = -2.
7y + z
=
[?]
Answer:
The answer is 26.
Step-by-step explanation:
7 x 4 = 28 so
28 + (-2)=
26
Answer:
26
Step-by-step explanation:
7y+z=
y =4 and z = -2
7(4)+-2
28+-2
26
Hence, the answer is 26.
y=6x+8 what is the y and x value. find y when x = -3 and find x when y = 2
Answer:
y= -13 x= -1
Step-by-step explanation:
y=6x+8
y=6(-3)+8
y= -21+8
y=-13
2=6x+8
-8=6x
-6=6x
x= -6/6= -1
Examine the following table, which represents some points on a line.
x 3 0 −3 −6 −9
y −3 −2 −1 0 1
What is the equation for the line in slope-intercept form?
y=−3x−2y is equal to negative 3 x minus 2, , ,
y=3x−2y is equal to 3 x minus 2, , ,
y=−13x−2y is equal to negative 1 third x minus 2, , ,
y=−13x−6y is equal to negative 1 third x minus 6, , ,
y=−3x−6
Answer:
(c) y = −1/3x −2
Step-by-step explanation:
We notice two things in the table.
y goes up by 1 when x goes down by 3.y = -2 when x = 0 (this is the y-intercept__
The slope of the line is ...
m = (change in y)/(change in x) = +1/-3 = -1/3
Then the slope-intercept equation is ...
y = mx +b . . . . . . slope m, y-intercept b
y = -1/3x -2
Answer is C
Step-by-step explanation:
math
A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar
Answer:
8 batches
Step-by-step explanation:
You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.
BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.
Answer:
See below for answer.
Step-by-step explanation:
BA ≅ BC Given
DA ≅ EC Given
BA + DA ≅ BC + EC Congruent parts are congruent
BD ≅ BE Addition
23 students are making smiley faces from macaroni noodles. The teacher got a box of macaroni’s that has 276
noodles in it. She plans to split the box up evenly amongst the students. How many noodles will each student
have to make their smiley face?
Answer:
12 noodles
Step-by-step explanation:
If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:
276÷23=12
276 noodles divided by 23 children = 12 noodles per child.
Write an equation for each line in slope-intercept form.
Answer:
Line 1 : y = -2x - 5
Line 2 : y = -3x + 3
Step-by-step explanation:
note the slope, and then note the y intercept
Answer:
y = - 2x - 5 and y = - 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - 2x - 5 ← equation of line 1
Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2
m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 3x + 3 ← equation of Line 2
When multiplying numbers with the same base you________ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
Step-by-step explanation:
what is the answer??????
Answer:
C. 6.66Solution:
20/3 can be expressed as 20 ÷ 3
20 ÷ 3 = 6.66...
we would have a result of an endless quotient.
Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
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How to multiple decimals by decimals.
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
simplify-3 divided by (-2/5)
Decimal form: 7.5
Fraction form: 15/2
Improper fraction: 7 1/2
Hope this is enough! :D
Solve the equation 5.3g + 9 = 2.3g+ 15
a. Find the value of g
Answer:
g=2
Step-by-step explanation:
5.3g+9=2.3g+15
5.3g-2.3g=15-9
3g=6
g=6÷3
=2
Answer:
g = 2
Step-by-step explanation:
5.3g + 9 = 2.3g + 15
Subtract 2.3g from both sides
3g + 9 = 15
Subtract 9 from both sides
3g = 6
Divide both sides by 3
g = 2
Given h(x) = -5x - 5, solve for x when h(x) =0
Solve the conjunctions below.
2 < x/3 - 5 < 6
3 < 2(x + 2) - 7 ≤ 13
Answer:
top: 21 < x < 33
bottom: 3 < x ≤ 8
Step-by-step explanation: