This situation can be represented with an equation as y = mx + b. The constant of proportionality (m) is a number that represents how much flour is needed for each additional batch of cookies. If the equation is in the form y = mx + b, then the relationship is proportional.
Shiloh needs to make multiple batches of cookies from a recipe that calls for 2 2/3 cups of flour to make two regular batches. To represent this situation in an equation, the equation is y = mx + b, where y is the amount of flour needed for the number of batches (x) Shiloh is making, m is the constant of proportionality, and b is the initial amount of flour needed (2 2/3 cups).
The constant of proportionality (m) in the situation above is the measure of how much flour is needed for each additional batch of cookies. For example, if the constant of proportionality is 0.75, that means Shiloh would need to add 0.75 cups of flour for each additional batch of cookies.
Therefore, if Shiloh is making three batches of cookies, the equation would be y = 0.75x + 2 2/3, and the total amount of flour needed would be 4 1/8 cups (2 2/3 + 0.75 + 0.75).
By using an equation to represent this situation, it is easy to determine if a relationship is proportional.
If the equation is in the form y = mx + b, then the relationship is proportional.
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14 A runner jogs 9 miles north and then 6 miles east. What is the shortest distance, to the nearest tenth of a mile, the runner must travel to return to their starting point?
Which of the following is a chord
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear.
Time (min), x Distance (m), y
5 1,930
10 1,380
15 830
20 280
The equation of the function in the form y=mx+b is y = 110x-2020
Adaptation of function speed
A line's equation is written as mx + b = y, where m denotes the rate of change or slope.
The intercept is B.
utilizing the coordinates
Calculate the slope.
m = 550/5
m = 110
The intercept for
280 + 110(20) + b
280 = 2200 + b
b = 180 - 2200
b = -2020
The equation for the function of the type y=mx+b is hence y = 110x-2020.
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The complete question would be:
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b
What are the 3 types of terms in quadratic equation?
The 3 types of terms in quadratic equation:
1) quadratic term,
2) linear term,
3) constant term.
We know that the second degree algebraic equation in x is a quadratic equation.
The standard form of quadrtic equation is ax^2 + bx + c = 0, where a, b, c are integers.
As thise is a quadratic equation, the value of a can not be zero. a ≠ 0
The term ax^2 is called the quadratic term.
From this term, the name given to the equation(quadrtic equation)
The term bx is called the linear term.
And the term c is called the constant term.
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Find the 10th term of the geometric sequence 3, 15, 75, ...
Answer:
5,859,375
Step-by-step explanation:
a10 = 3×5^9 = 3×1,953,125
= 5,859,375
Answer:
5,859,375
Step-by-step explanation:
Given :-
A geometric sequence is given to us which is 3 , 15 , 75 .And we need to find out the 10th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .
Common Ratio :-
[tex]:\implies[/tex] CR = 15 ÷ 3 = 5
The 10 th term :-
[tex]:\implies[/tex] T_n = arⁿ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5 ¹⁰ - ¹
[tex]:\implies[/tex] T_10 = 3 × 5⁹
[tex]:\implies[/tex] T_10 = 3 × 1953125
[tex]:\implies[/tex] T_10 = 5859375
Hence the 10th term is 5,859,375
2 of 10
x
Colin buys a car for £27900.
It depreciates at a rate of 3% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
Below
Step-by-step explanation:
3% loss means 97% (.97 in decimal ) remains
after 2 years :
27 900 ( .97)^2 = £ 26251 .11
Can you help me with this
Answer:
y = 3/2x - 3
Step-by-step explanation:
first find slope (m):
m = (-3/2 -(-15/2)) / (1 - (-3)) = (12/2) / 4 = 6/4 = 3/2
plug the point (1, -3/2) into the point-slope form (y-y1) = m(x-x1):
y - (-3/2) = 3/2(x-1)
y + 3/2 = 3/2x -3/2
now put it in slope-intercept form y = mx + b:
y = 3/2x -6/2
y = 3/2x - 3
Are these lines parallel,perpendicular or neither ? Y=(-4/3)xt18y=(4/3)x-6
Answer:
neither
Step-by-step explanation:
when slopes are the same its parallel
when slopes are multiplied and it equals -1 they are perpendicular
bonjour svp aide moi
Exercice 7: mon et nop sont deux angles adjacents supplémentaires tel que mOn = 60°.
1°) Calculer nOp.
Answer:
n0p = 120°
Step-by-step explanation:
m0n + n0p = 180°
60° + n0p = 180°
n0p = 120°
Subtract (7x+5)-(3x+2)?
Answer:
Step-by-step explanation:
original equation equivalent to 7x+5-3x-2 = 7x-3x+5-2=4x+3
the answer is 4x+3
Answer:
The answer is 4x+3
There are 18 counters divided equally among 3 groups. How many counters are in each group?
8^x/2 divided by 4^x/3 equals 2^-5/2
The solution to the exponential equation 8^(x/2)/4^(x/3) = 2^(-5/2) is given as follows:
x = -6/5.
How to solve the exponential equation?The exponential equation for this problem is defined as follows:
[tex]\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{-\frac{5}{2}}[/tex]
Both 8 and 4 are powers of 2, as follows:
8 = 2³.4 = 2².Applying the power of power rule (multiplying the exponents), the expression on the left side can be rewritten as follows:
[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{-\frac{5}{2}}[/tex]
When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents, hence:
[tex]\frac{2^{\frac{3x}{2}}}{2^{\frac{2x}{3}}} = 2^{\frac{3x}{2} - \frac{2x}{3}}[/tex]
The subtraction is obtained as follows:
3x/2 - 2x/3 = 9x/6 - 4x/6 = 5x/6.
(as the least common factor of 2 and 3 is of 6).
Then the simplified expression is of:
[tex]2^{\frac{5x}{6}} = 2^{-\frac{5}{2}}[/tex]
As the exponential function y = 2^x is injective, the solution is obtained as follows:
5x/6 = -5/2.
10x = -12
x = -6/5.
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I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
81/100 is the answer I believe if I'm wrong my bad
Answer:
81/100
Step-by-step explanation:
brainliest pls
4 Amanda's bedroom is a rectangle 415 cm long by 295 cm wide.
a work out the area of Amanda's bedroom. Give your answer in square metres (m?).
Show how to use estimation to check your answer.
Carpet costs $24 per square metre.
It is sold in whole numbers of square metres.
b How much will it cost Amanda to buy carpet for her bedroom floor?
Show how to use inverse operations to check your answer.
Answer:
1) 12.2425 square meters
2)$288
Step-by-step explanation:
According to the problem, we have a rectangle bedroom with 415cm long by 295cm width.
We know that 1cm = 0.01 m
Length of bedroom: 415 x 0.01 = 4.15m
of bedroom: 295 x 0.01 = 2.95m
area of rectangle: Length x Width
Area: 4.15 x 2.95 = 12.2425 square meters
We have a cost of carpet 24 per square meter is given from the problem.
we now know that it is in a whole number so we divide by 2 to get it square
A= 12m (squared)
now we multiply 12 and 24
we get $288
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
help ! i should really pay attention in class
Answer:
I think its b
Step-by-step explanation:
If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
The value of x is 8.
What are supplementary angles?Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.
Two angles are said to be supplementary if the value of their sum add up to 180^o.
From the given question, we can deduce that;
m<1 + m<2 = 180^o (definition of complementary angles)
(17x - 30) + (7x + 18) = 180^o
17x - 30 + 7x + 18 = 180^o
24x - 12 = 180
24x = 180 + 12
24x = 192
x = 192/ 24
= 8
x = 8
The value of x is 8.
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Which circles have an area less than 300 square centimeters? Select all that apply.
A circle with a radius of 9.5 centimeters.
A circle with a radius of 10 centimeters.
A circle with a radius of 10.5 centimeters.
A circle with a diameter of 15 centimeters.
A circle with a diameter of 25 centimeters.
Answer:
A, b, d
Step-by-step explanation:
If you have more expenses than income, which is NOT a good way to balance your budget?
A-Decrease income.
B-Increase income.
C-Decrease expenses.
D-Borrow money with a repayment plan.
a d
.....................................................
help please!! this is for tonight, I don't know how to use the "undefined" please help
The equation of the line in slope-intercept form, with the point (4, -5) and an undefined rate of change is x = 4.
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope or rate of change.x and y represents the data points.c represents the y-intercept.In Mathematics, any line that has an undefined slope (rate of change) is a vertical line because it does not have a y-intercept. This ultimately implies that, a vertical line that is parallel to the y-coordinate (y-axis) would have an undefined slope (rate of change).
Generally speaking, the equation of a line that has an undefined slope (rate of change) is given by this mathematical expression;
x = a
Where:
a represents the x-intercept.
At point (4, -5), the required equation with an undefined slope (rate of change) is x = 4.
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Mrs. Smith calls customer care after she receives her phone bill. Her bill is normally $40. 00 per
month, however, this month it is $110. 0. Mrs. Smith negotiates a 50% credit of the difference
between the normal charge of $40. 00 and the current balance of $110. 0. How much will Mrs.
Smith be responsible for paying?
Mrs. Smith will be responsible for paying $75.00
The normal monthly charge is $40.00 and the current balance is $110.00,
so the difference is $110.00 - $40.00 = $70.00.
Mrs. Smith negotiated a 50% credit, so she will receive
$70.00 x 0.50 = $35.00 credit.
To find the amount she is responsible for paying, we subtract the credit from the current balance
$110.00 - $35.00 = $75.00
Thus, the amount Mrs. Smith will be responsible for paying is $75.00
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Find the sum of the following series:
Answer:
The sum is 2635
Step-by-step explanation:
I did this problem
Help me please please no links
Answer:
the first bubble is your answer hope it helps
66. Mechanical Engineering A crossed belt connects
a 10-centimeter pulley on an electric motor with a
20-centimeter pulley on a saw arbor (see figure). The
electric motor runs at 1700 revolutions per minute.
(c) Let L be the total length of the belt. Write L as
a function of o, where is measured in radians.
What is the domain of the function? (Hint: Add the
lengths of the straight sections of the belt and the
length of the belt around each pulley.)
On solving the provided question, we cans ay that - the value of the each unit in this time will be from unitary method is 85.
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
value of the 20 unit is 1700
value of the each unit will be 1700/20 = 85
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helpppp plsss its due tonight !!
Answer: D.
Step-by-step explanation:
1. Look at the range/IQR of each box-plot
2. The smaller the range = the less variability
What is the relationship between points and lines?
Answer:
Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.
Step-by-step explanation:
Rich added 26.2 milliliters of water to a solution in science class. The directions said to add 22.6 milliliters of water. What was the percent error (to the nearest hundredth percent) in the amount of water Rich added
The percent error in the amount of water Rich added is 15.93%.
What is meant by percentage error?When compared to the actual value, the percent error is the difference between the estimated and actual values.
The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the percent error. In other words, the relative error times 100 equals the percent error.
Given that Rich added water to a solution in science class is 26.2 milliliters
Whereas the directions said to add water is 22.6 milliliters
The amount of water that is added more is 26.2 -22.6 = 3.6 milliliters
The percent error is = (3.6/22.6)*100%
The percent error is = 15.9292*100%
Therefore, the correct answer is option b) 15.93%.
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A Quadratic polynomial whose zeroes are 5 and -2 is
x² + 5x - 2
x² + 3x + 10
x² - 3x - 10
x² - 2x + 5
I will Mark Brainliest Answer
x
2
−3x−10
x
2
−(5x+x)−10
x
2
−5x+2x−10
x(x−5)+2(x−5)
(x−5)(x+2)
x=5
x=−2
sumofzeroes
=αβ=5×−2=−10
α+β=
9
−b
=−
1
(−3)
=3
productofzeroes
=αβ=5×−2=−10
αβ=
a
c
=
1
−10
=−10
proved
________________________
mark me brainliest........proved
Which compound inequality is equivalent to the absolute value inequality 161 > 6?
Answer:
option D
Step-by-step explanation:
Answer:
b < –6 or b > 6
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIST!
find the unknown side length, X. round your answer to the nearest tenth.
A) 15
B) 15.8
C) 24.3
D) 16.7
Answer:
x = 15.8
Step-by-step explanation:
Find the measure of angle A.
110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3
Answer:
[tex]80^{\circ}[/tex]
Step-by-Step Explanation:
The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]
So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].