Someone please help me on #3 and 4 they are different problems. Please help me how to solve this step by step. (Sorry about the bad picture.)
Answers
Jack: six and a quarter = 6 1/4
Sister: three and a half = 3 1/2
6 + 3 = 9 + 1/2 = 9.5 + 1/4 = 9.75 cakes altogether
4.
She uses 10x the amount of flour, so will also use 10x the amount of eggs.
10 x 8 = 80 eggs
Related Questions
Work out the value of each expressions.
a) 5(x³ - x) + 5x² /3 - 12x when x=3
b) 3y+16+ (y/2) -20/y when y=4
Answers
a) Simplification of the algebraic expression 5(x³ - x) + 5x²/3 - 12x when x = 3 is; 99
b) Simplification of the algebraic expression 3y + 16 + (y/2) - (20/y) is; 25
How to solve Algebraic Fractions?
a) We are given the algebraic expression;
5(x³ - x) + 5x²/3 - 12x
We want to simplify this when x = 3. Thus, we plug in 3 for x to get;
5(3³ - 3) + 5(3²)/3 - 12(3)
= 5(27 - 3) + (5 * 3) - 36
= 120 + 15 - 36
= 99
b) We are given the algebraic expression;
3y + 16 + (y/2) - (20/y)
We want to simplify this when y = 4. Thus, we plug in 4 for y to get;
3(4) + 16 + (4/2) - (20/4)
= 12 + 16 + 2 - 5
= 25
Read more about Algebraic Fractions at; https://brainly.com/question/11875858
#SPJ1
Which are the first five terms of a geometric sequence in which the second term is 6 and the fourth
term is 54?
3, 6, 27, 54, 108
3, 6, 54, 486, 4,374
-18, 6, 30, 54, 78
2, 6, 18, 54, 162
Answers
The first five terms of a geometric sequence in which the second term is 6 and fourth term is 54 are 2, 6, 18, 54, 162. Thus, the correct option is option D.
A Geometric progression may be defined as a series of terms in which the ratio between each succeeding term and the preceding term of the series is constant.
It is given that the second term of the series is 6 and the fourth term is 54.
The first five terms of geometric sequence are given by a, ar, ar², ar³ and ar⁴.
Thus, ar = 6 ......(1)
ar³ = 54 ......(2)
Divide equation (2) by (1)
ar³/ar = 54/6
r² = 9
=> r = 3
Putting value of r in equation (1)
ar = 6
=> a×3 = 6
=>a = 2
Now, substituting the values of a and r the terms of Geometric progression are given by:
a = 2, ar = 6, ar² = 18, ar³ = 54 and ar⁴ = 162.
Thus, the first five terms of Geometric sequence are given by 2, 6, 18, 54, 162.
Learn more about Geometric sequence at:
brainly.com/question/10564422
#SPJ9
What is the equation of the line that is parallel to the line y =
Oy=-x+3
O y=-x+7
Oy= 3x - 13
Oy= 3x +5
-x+4 and passes through the point (6, 5)?
Answers
Answer:
Step-by-step explanation:
x=4 is a vertical line.
horizontal line through (-6,5): y=5
y=6 is a horizontal line.
vertical line through (-6,5): x=-6
The equation of line parallel to y = -( 1/3 )x + 4 and passing through the point P ( 6 , 5 ) is y = -( 1/3 )x + 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = -( 1/3 )x + 4
Let the first point be P ( 6 , 5 )
Slope m = -1/3
The parallel lines have the same slope , so the point-slope form of the equation of a line to find the equation of the line passing through P(6,5) with slope -1/3 is
y - 5 = ( -1/3 ) ( x - 6 )
Adding 5 on both sides , we get
y = ( -1/3 )x + 2 + 5
y = -( 1/3 )x + 7
Hence , the equation of line is y = -( 1/3 )x + 7
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ5
The complete question is attached below :
What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?
A) y = -1/3x + 3
B) y= -1/3x + 7
C) y= 3x - 13
D) y= 3x + 5
Usa ecuaciones simultáneas para resolver lo siguiente:
2x + 5y = 5
4x = 3y = 3
X =
Y =
Answers
The value of x will be equal to 0 and y will be equal to 1.
It is given that there are two equations.
We have to solve both equations to get the value of x and y.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the question ;
The two equations are
2x + 5y = 5 --- -- - - - ------ ---- --- --- ---- Equation 1
4x + 3y = 3 --- ----- ------ ----- ----- ----- -- Equation 2
Let's solve these equations to get value of x and y ;
So ;
Multiplying equation 1 , by 2 we get ;
4x + 10y = 10 --- ----- ------ ----- ----- ----- -- Equation 3
Subtract it with equation 2 ;
i.e., Equation 3 - Equation 2
(4x + 10y) - (4x + 3y) = 10 - 3
7y = 7
y = 1
And value of x will be ;
2x + 5 × 1 = 5
2x = 5 - 5
2x = 0
or
x = 0
Thus , the value of x will be equal to 0 and y will be equal to 1.
To learn more about algebra click here ;
https://brainly.com/question/723406
#SPJ1
A lab technician is dividing a cell that has a diameter of 4.32×10−4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cell?
Answers
Answer:
I'm assuming that the number is supposed to be 4.32x10‾⁴, so if the new cell has half the diameter, then it's diameter would be 2.16x10‾⁴
Who knows what a black widow spider can do
Answers
Analia wants to know which school has the higher SAT average relative to resources invested per student
A SAT average divided by number of sports medals won
B SAT average divided by number of students
C SAT average divided Budget per student
D SAT average divided by teachers per student
Answers
2 and 8 supplementary or congruent
Answers
Answer: where's the pic?
Which is equivalent to √3+√12?
A. √15
B. 3√6
C. 2√3
D. 3√3
E. 5√3
Answers
Answer:
d is the correct answer to your question
Answer:
3√3
Step-by-step explanation:
√3 +√12
we can write 12 as 3 X 4
√3 + √(3+4)
√3 + √3 √4
√4 = 2
√3 + 2√3
= 3√3
Important Please Help!!!!!!
Answers
−2(−x−3)−4x−1= 13 solve for x
Answers
2x+6-4x-1=13
2x+5=13
2x=8
x=4
Looking at this equation/expression, to solve the left portion of the equal sign, we must first go through PEMDAS.
P is for parentheses, e is for exponents, m is for multiplication, d is for division, a is for addition an s is for subtraction.
What can we do first?
Well, I see parentheses, but there’s a number in front of it, so that indicates that we need to distribute. And even if we try to simplify what’s in the parentheses, we can’t. Because there’s a variable and a number. Those two don’t match up.
So, to show the distribution of -2(-x-3) is as follow:
(-2*-x)-(-2*-3)
Both are being multiplied by negatives, so as we know, a negative times a negative equals a positive.
-2*-x= 2x and -2*-3= 6
Because they’re both positive, the subtraction sign that was there in the original expression can change to an addition sign.
2x+6 is how it should look.
Now insert that expression into the entirety of the expression/equation.
2x+6-4x-1=13
The next step is to combine like terms.
2x and -4x are like terms as well as +6 and -1.
2x-4x=-2x; Notice that the first term is smaller than the second term, so it’ll go into the negatives because of that.
6-1=5; easy and simple math.
Now, we can put the expression/equation back together in two ways.
One is: -2x+5=13
Another is: 5-2x=13
Essentially, they are the same.
We’ll use -2x+5=13 since it’ll be more convenient to display the oncoming steps.
Then, we’ll subtract the 5 on both sides as follows:
-2x+5=13
-5 -5
The -2x stays there on the side that it is on while the +5 is eliminated because subtraction is the reverse of addition.
13 minus 5 is 8.
The equation/expression should look like this:
-2x=8
Lastly, we divide by -2 on both sides resulting in -2x to become just x and 8 to become -4 since a negative times a negative equals a positive.
Thus, the final solution is x=-4.
To check if it’s correct, insert the term -4 for each x within the equation.
Hope this helps.
A handyman company serves customers from two cities 60 miles apart, Jonesville and Bellevue. The company would like to position a new of
between the two cities using weighted averages based on the typical number of calls received from each city. If Jonesville has a weight of 3 a
Bellevue has a weight of 5, how far from Bellevue should the office be located?
miles
Answers
Using the weighted mean, it is found that the office should be located 13.85 miles from Bellevue.
What is the weighted mean?The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.
For this problem, the observations are given as follows:
Bellevue, at position 0, with a weight of 5.Jonesville, at position 60, with a weight of 3.These observations are the positions of the cities, considering that they are 60 miles apart, and their weights as given in the problem.
The weighted mean between these positions is found as follows:
M = (0 x 5 + 60 x 3)/(5 + 8) = 13.85.
The meaning of the weighted mean is that:
The office should be located 13.85 miles from Bellevue.
More can be learned about the weighted mean of a data-set at https://brainly.com/question/24398353
#SPJ1
Please Help me it is a major grade due today
Answers
Answer:
3x² + x
Step-by-step explanation:
collect the like terms first:
2x² + x² - 4x + 5x + 1 - 1
3x² + x
Answer:
the last answer. 3x to the second power + x
Step-by-step explanation:
M(5, 7) is the midpoint of PS The coordinates of S are (6, 9). What are the coordinates of p2
Answers
The required coordinate of point p is (4,6) of line segment PS.
Given that
M(5, 7) is the midpoint of PS The coordinates of S are (6, 9).
To determine the coordinates of p.
Here,
Let the coordinate of P be (h, k)
Now, the coordinates of the midpoint is given by,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
now, putting x = 5, x₁ = 6, x₂ = h; y = 7, y₁ = 9 y₂ = k
5 = 6 + h / 2 ; 7 = 9 + k / 2
10 - 6 = h ; 14 - 9 = k
h = 4 ; k = 5
Thus, the required coordinate of point p is (4,6).
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ1
What is the fractional equivalent of 34%?
A) 17/200
B) 35/10
C) 17/50
D) 35/1
Answers
Mitchell spent 12 hours at the doctor's office and a total of 1 hours driving
to and from the appointment. Which expression shows the total number of
hours Mitchell spent away from home for his visit to the doctor?
Answers
Answer:
12+1=x x=13
Step-by-step explanation:
12 is the hours at the doctor's office.1 is the hour driving. and x is the total time
write and solve an equation to find the difference between the location of point a and point b on the ruler.
Answers
Using distance formula, distance between two points is √61 unit
Let's us consider an example first -
What is the the distance between A and B
Let A = (3,2) and B (9,7)
Given A (3,2) and B( 9,7) are the two points on a plane
We have find to distance between A and B
Put the distance formula in two points as we know -
Distance= d√(x^2-x^1)^2 + (y^2-y^1) ^2
Here X1= 3
X2 =9
Y1=2
Y2=7
Thus putting all these value x and y formula
d= √(9-3)^2+(7-2)^2
d=√(6^2+5^2)
d=√(36+25)
d=√61 unit
To know more about distance formula like this click
https://brainly.com/question/23848540
#SPJ4
What is the slope of the line represented by this equation?
-3X+ 8y = 12
Answers
The slope of the equation - 3 x+ 8 y = 12 is 0.375.
We are given an equation of the line:
- 3 x+ 8 y = 12
We need to find the slope of the equation.
x intercept:
- 3 x = 12
x = -4
Point 1 = ( - 4 , 0 )
y intercept:
8 y = 12
y = 1.5
Point 2 = ( 0 , 1.5 )
Slope = (y₂ - y₁) / (x₂ - x₁)
Substituting the values, we get that:
m = ( 1.5 - 0 ) / ( 0 - [-4])
m = 1.5 / 4
m = 0.375
Therefore, we get that, the slope of the equation - 3 x+ 8 y = 12 is 0.375.
Learn more about the slope of the equation here:
https://brainly.com/question/1884491
#SPJ9
in a famous experiment carried out in 1882, michelson and newcomb obtained 66 observations on the time it took for light to travel between two locations in washington, d.c. a few of the measurements (coded in a certain manner) were 31, 23, 32, 36, −2, 26, 27, and 31. (a) why are these measurements not identical? (select all that apply.)
Answers
These measurements are not identical due to confounding;
When the effects of two or more explanatory variables on a response variable cannot be distinguished from one another, confounding occurs in an experiment.
To learn more about confounding, visit: https://brainly.com/question/21289510
#SPJ4
Can u help me with this math plsss I will mark brainliest
Answers
Answer:
there.....................
Answer:
I4, C20, H6, O13, M3, V10, P23, G8, K19, H21, P16
your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. your mom offered to buy you a new shirt or a new pair of shoes. which item (shoes or shirt) should your mom buy for you to maximize your total number of outfits (shoesshirt-pant)?
Answers
A pair of shoes gives us 48 different outfits.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linearWe will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.
If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3
By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible
and
If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4
By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible
hence, buying a pair of shoes gives us 48 different outfits.
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
A cafeteria is 6 squared ft wide and 7 squared ft long apply the laws of exponents to write two equivalent expressions for the area of the cafeteria
Answers
The two equivalent expressions for the area of the cafeteria are:
a. x = 6² + 7² feet
b. 36 + 49 = x feet.
Given the length of the cafeteria is 7² ft and
the width of the cafeteria is 6² ft.
Area = length × width
let the area be 'x'.
x = 6² × 7²
According to the law of exponents.
x = 36 × 49
x = 1764 ft
hence we get the area as 1764 ft of the cafeteria.
Learn more about Exponents here:
brainly.com/question/847241
#SPJ9
Which of the following is the number form of thirty-eight and one hundred seven thousandths?
A.38.170
B.38.017
C.38.107
D.38.071
Answers
Number Form
C.) 38.107
___________________________________________________
The solution is simple. "Thirty-eight" is just 38, remaining on the left side of the decimal. Meanwhile, "one hundred seven thousandths" is 107, however on the right side of the decimal. Now you know this, put the two parts together and you have your number form; 38.107, aka. Option C.
___________________________________________________
Hope this helps! If so, lmk! Thanks and good luck!
Find the solution to the equation: 42-(3c+4)=2(c+4)+c
Answers
Answer:
5
Step-by-step explanation:
42-(3c+4)=2(c+4)+c
42-3c-4=2c+8+c
42-4-3c=3c+8
38-3c=3c+8
38-3c-3c=8
38-6c=8
6c=38-8
6c=30
c=30/6
c=5
The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write
and solve a compound inequality to show the possible lengths of the third side.
09≤x≤18
O 18 ≤x≤ 33
036 ≤x≤ 42
045 ≤x≤ 60
Answers
If the sum of three lengths of a fence ranges from 45 to 60 inches and two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33
Given,
The range of sum of three lengths = 45 to 60 inches
Length of other two side = 9 and 18 inches
Length of third side = x
Sum of three lengths = 9+18+x
= 27+x
The range of sum of three lengths is 45 to 60
then,
45≤27+x≤60
Subtract 27 from each part
18≤x≤33
Hence, if the sum of three lengths of a fence ranges from 45 to 60 inches and two side lengths are 9 and 18 inches, If the length of the third side is x inches, then the compound inequality to show the possible length of the third side is 18≤x≤33
Learn more about compound inequality here
brainly.com/question/20296065
#SPJ1
Answer:
B
Step-by-step explanation:
This is because 18 is less than or equal to x which is less than or equal to 33. Your welcome
A horses mane grows 1. 5 inches in 1 month. Lauras hair grows 0. 25 inch in 1 week
determine in the situation represents a proportional relationship
Answers
1:5:1 or 3:2 is the proportional relationship.
What is the proportional relationship?In mathematics, two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant. Two sequences are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality.
Given Data
If considering that a month has 4 weeks approx, then Laura's hair grows( 0.25 inches×4)= 1 inch in a month.
Whereas the horse's mane grows 1.5 inches in a month.
Thus the proportional relation or ratio between growth of Horse's mane and Laura's hair for the same amount of time period is 1.5:1 or 3:2
To learn more about proportional relationship, visit:
https://brainly.com/question/28666889
#SPJ4
In a class of 20 students, 5 are left handed. What percentage of students are right handed?
Answers
Number of students who are left handed = 3
Percentage of students who are left handed in class =
=
=
= 15%
Hence the percentage of students who are left handed in class is 15%
Answer: 75%
Step-by-step explanation:
20-5=15 right handed students
[tex]\displaystyle\\\frac{15}{20}*100\% =\\\\\frac{15*20*5}{20} \%=\\\\15*5\%=\\\\75\%\ -\ percentage\ of\ students\ are\ right\ handed[/tex]
The 100 m world record was completed at an average speed of 37.6 km/h. Work out this speed in metres per second (m/s). Give your answer correct to one decimal place (1 d.p).
Answers
The average speed in meters per second is 10.4 m/s.
What is the average speed in meters per second?
Average speed is the total distance travelled per time. Average speed can be determined by dividing total distance by
Average speed = total distance / total time
The first step is to convert kilometer to meter: 1000 meter = 1 kilometer
The second step is to convert hours to seconds:
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60 x 60 seconds
1 hour = 3,600 seconds
Multiply the average speed by 1000 meters and divide by 3,600 seconds.
37.6 x (1,000 / 3,600) = 10.44 m / s
10.4 m/s (1 d.p)
In order to round off to one decimal place, if the hundredth figure is less than 5, there is no change in the tenth digit. Digits that are less than the tenth digit are removed.
To learn more about average speed, please check: https://brainly.com/question/21734785
#SPJ1
How many unique trapezoids can be drawn with base angles that each measure 60° and sides that measure 4 cm, 4 cm, 8 cm, and 12 cm?
Answers
The number of unique trapezoids that can be drawn with base angles and side measures is 1
How to determine the number of unique trapezoids?The given parameters are
Base angle = 60 degrees
Side lengths = 4 cm, 4 cm, 8 cm, and 12 cm
From the question, we understand that the given angle is the base angle
Since the base angles are equal, then the trapezoids is an isosceles trapezoid
This also means that the nonparallel sides are equal i.e. 4cm each
While the parallel sides are not i.e. 8cm and 12 cm
Hence, the number of unique trapezoids that can be drawn with base angles and side measures is 1
Read more about trapezoids at
https://brainly.com/question/16725694
#SPJ1
Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?
Answers
Answer:
$29.05
Step-by-step explanation:
First, you have to multiply $19.95 by 2 since he bought 2 shirts that were the same price. 19.95 times 2 is a total of $39.90. It says that he saved $9.10 on both shirts so, in order to see the original price of the shirts, you would have to multiply $9.10 times 2 which is $18.20. Now you need to add 39.90 to 18.20 which is $58.10. You just need to divide that by 2 which will give you $29.05. Each shirt's orignial price was $29.05
Hope that helps you out :D