Answer:
11.375 pounds
Step-by-step explanation:
1.75 * 6.5 = 11.375
11 and 3/8 pounds of meat are required in total.
The student is asking a multiplication problem that involves fractions. To find the amount of meat needed, we multiply the amount of meat required for one batch by the number of batches.
Step-by-Step Calculation
First, we must convert the fractions into improper fractions to simplify calculation. The recipe requires 1 and 3/4 pounds of meat, which is
7/4 pounds (since 1 pound is 4/4 pounds, we add 3/4 pounds to get 7/4 pounds).
Next, the number of batches is 6 and 1/2, which as an improper fraction is 13/2 batches.
To find the total amount of meat required, we multiply the pounds per batch by the number of batches: (7/4) pounds x (13/2) batches = (7/4) x (13/2) = (7 x 13) / (4 x 2) = 91/8 pounds.
Finally, convert 91/8 pounds to a mixed number: 11 and 3/8 pounds of meat are required in total.
hope everyone can help me I'll really need your help
Answer:
See below. The solutions are x=-1/3 and y=-4/3
Step-by-step explanation:
[tex]\frac{1}{2}\log_2 y-\log_4 x = 1\\\frac{1}{2}\log_2 y = \log_4 x+1=\log_4x+\log_4 4=\log_4 4x\\\frac{1}{2}\log_2y = log_44x\\\frac{1}{2}\frac{\log_4y}{\log_4 2}=\log_4 4x\\\log_4y=\log_44x\\4^{\log_4y}=4^{\log_44x}\\y = 4x\\\\x-y = 1\\4x -y = 0\\\rightarrow\\3x=-1\implies x = -\frac{1}{3}, y=-\frac{4}{3}[/tex]
A house on the market was valued at 34,000 . After several years, the value decreased by 16%. By how much did the house's value decrease in dollars? What is the current value of the house?
plug in the number of years for where x is
34,000(.84)ˣ
and then do
.84ˣ
and then when you get that answer, multiply by 34,000
You Start At (1,9) You Move Left 1 Unit And Up 1 Unit.Where Do You End?
Answer:
(0, 10)
Step-by-step explanation:
x=1 y=9
Up 1 means add 1 to the y coordinate
Left 1 means subtract 1 from the x coordinate
(1-1, 9+1)
(0, 10)
The equation below represents Function A and the graph represents Function B: Function A f(x) = 6x - 1 Function B graph of line going through ordered pairs 1, 4 and negative 1, negative 2 and negative 2, negative 5 Which equation best compares the slopes of the two functions?
Answer:
Slope of function A is 6 and slope of function B is 3. Slope of A is twice of slope of function B. The relationship between slopes is
[tex]\text{Slope of Function A}=2\times \text{Slope of Function B}[/tex]
Step-by-step explanation:
The function A is,
[tex]f(x)=6x-1[/tex]
It can be written as,
[tex]y=6x-1[/tex]
It is the slope intercept form like [tex]y=mx+c[/tex], where m is the slope. On comparing the function A with the slope intercept form, we get the value of slope of function A is 6.
[tex]m_{A}=6[/tex]
The graph of function B passing through the point (1,4), (-1,-2) and (-2,-5).
If a line passing through the points and , then the slope of line is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Choose any two points of function B. Let the function B is passing through the points (1,4) and (-1,-2).
[tex]m_{B}=\frac{-2-4}{-1-1}[/tex]
[tex]m_{B}=\frac{-6}{-2}[/tex]
[tex]m_{B}=3[/tex]
The slope of function B is 3.
Since slope of function A is 6 and the slope of function B is 3, so we can say that the slope of function A is twice of slope of function B.
[tex]\text{Slope of Function A}=2\times \text{Slope of Function B}[/tex]
The slope of Function A is 6 and the slope of Function B is 3. Therefore, the slopes of the two functions are not equal.
The equation representing Function A is f(x) = 6x - 1.
The graph representing Function B is a line passing through the ordered pairs (1, 4), (-1, -2), and (-2, -5).
To compare the slopes of the two functions, we can calculate the slope of each function and see if they are equal.
The slope of Function A is 6, and the slope of Function B can be found using the formula (y2 - y1)/(x2 - x1) by choosing any two pairs of ordered points.
For example, using (1, 4) and (-1, -2).
The slope of Function B is (4 - (-2))/(1 - (-1)) = 6/2 = 3.
Since the slope of Function A is 6 and the slope of Function B is 3, we can conclude that the slopes of the two functions are not equal.
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Find the value of y when x = 4 in the equation 3x - 7/y = 1/3 Show your work help
Answer:
y = ⅗
Step-by-step explanation:
3x – 7/y = 1/3 Substitute the value of x
3×4 – 7/y = 1/3
12 – 7/y = 1/3 Multiply each side by 3
36 – 21/y = 1 Subtract 36 from each side
-21/y = -35 Multiply each side by y
-21 = -35y Divide each side by -35
y = 21/35 Divide numerator and denominator by 7
y = ⅗
=====
Check:
3×4 – 7/(⅗) = 1/3
12 -7×5/3 = 1/3
12 – 35/3 = 1/3
(36 – 35)/3 = 1/3
1/3 = 1/3
A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk?
Answer: 17.14 ft
Step-by-step explanation:
The area of the flower bed is 60 ft x 80 ft = 4800 ft²
The perimeter of the sidewalk that surrounds the flower bed is:
2(60 ft) + 2(80 ft) = 120 ft + 160 ft = 280 ftThe area of the sidewalk is:
perimeter x width= 280warea of sidewalk = area of flower bed
280w = 4800
[tex]\text{w}=\dfrac{4800}{280}[/tex]
[tex]=\dfrac{120}{7}[/tex]
≈ 17.14
You and your friends play a game of miniature golf. On the first hole, the scores of your group are 6, 2, 3, 2, 4, and 1. What is the range of the scores?
Answer: Hello mate!
our set of numbers is 6, 2, 3, 2, 4, and 1.
the two extremes of the set are the lower and bigger numbers, so in this case are 1 and 6, so the range of the values in the set is {1,6} and the distance between these points is 6 - 1 = 5.
this means that all the numbers in our set are in the range between 1 and 6.
352 ft is ____ % of 2 mi; 2 mi is ____ % of 352 ft
Answer:
352 ft is 3.34% of mi ;
2 mi is 3000% of 352 ft
Step-by-step explanation:
To calculate : 352 ft is ___% of 2 mi and 2 mi is ___% of 352 ft.
We can calculate first:
352 is x% of 2 mi.
Solve for x;
Use conversion:
1 mi = 5280 ft
2 mi = 10560 ft
x% of 10560 ft means [tex]\frac{x}{100} \times 10560 = 105.60 x[/tex]
then, our equation become;
352 = 105.6 x
Divide both sides by 105.6 we get;
x = 3.333333...
or
x ≈3.34
Similarly, for
2 mi is y% of 352 ft
Solve for y;
2 mi = 10560 ft
y% of 352 = [tex]\frac{y}{100} \times 352 = 3.52y[/tex]
then;
10560 = 3.52 y
Divide both sides by 3.52 we get;
[tex]y = \frac{10560}{3.52}[/tex]
y = 3000
Therefore; 352 ft is 3.34% of mi ; 2 mi is 3000% of 352 ft
Pat listed all the multiples for 15. Write the numbers in pats list
Answer: Answer : Answer : 15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315,330,345,360,375,390,405,420,435,450,465,480,495,510,525,540,555,570,585,600,615,630,645,660,675,690,705,720,735,
Step-by-step explanation:
How many complex zeros does the polynomial function have?
F(x)=2x^4 +5x^3 - x^2 +6x-1
Answer:
Two complex roots.
Step-by-step explanation:
F(x)=2x^4 +5x^3 - x^2 +6x-1
is a polynomial in x of degree 4.
Hence F(x) has 4 roots. There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.
Use remainder theorem to find the roots of the polynomial.
F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0
There is a change of sign in F from 0 to 1
Thus there is a real root between 0 and 1.
Similarly by trial and error let us find other real root.
F(-3) = -1 and F(-4) = 94
SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.
Other two roots are complex roots since no other place F changes its sign
Final answer:
The polynomial function has 4 complex zeros.
Explanation:
A polynomial function is a function of the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_1, a_0 are constants and n is a non-negative integer. The number of complex zeros of a polynomial function is equal to its degree.
The given polynomial function is f(x) = 2x^4 + 5x^3 - x^2 + 6x - 1. The highest power of x in the function is 4, so the degree of the function is 4. Therefore, the function has 4 complex zeros.
5b2-10b-15 factor this
Answer:
5(b - 3)(b + 1)
Step-by-step explanation:
take out a common factor of 5
= 5(b² - 2b - 3)
to factor the quadratic consider the factors of - 3 which sum to - 2
These are - 3 and + 1, thus
= 5(b - 3)(b + 1)
sal is making bracalets for a fundraser he uses 6 inches of yarn per bracalet how many bracalets can sal make with 5 ft of yarn
Answer:
10 bracelets
Step-by-step explanation:
we need to convert 5 ft to inches
1 ft = 12 inches
multiply by 5
5 ft = 60 inches
60 inches of yarn, 6 inches per bracelet
60/6 = 10
10 bracelets
*NEED MAJOR HELP!*
Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.
A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18
Yes No Not Enough Information
Answer:
I believe a) is your answer
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x+7)=36
Simplify: (Show steps)
2x+14=36
Mr. Smith has a maximum of $50 to spend at a museum. A ticket costs $7. he can spend x dollars to buy other things at the museum. Write an inequality to find the possible values for x.
Answer:
The correct answer is D.
Step-by-step explanation:
p + 7 = ≤ 50
because I did it for the ECA 3 Exam. :>
The inequality which helps to find the possible values for x will be x + 7 ≤ 50.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
Total budget = $50
Ticket cost = $7
Total spent ≤ total budget
x + 7 ≤ 50
x ≤ 43
Hence "The inequality which helps to find the possible values for x will be x + 7 ≤ 50".
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A line passes through the point (8,7) and has a slope of negative 3/4 Write an equation in slope-intercept form for this line.
The slope-intercept form for the line that passes through the point (8,7) and has a slope of -3/4 is y = -3/4x + 13. We found this by substituting the given slope and point into the slope-intercept equation and solving for b, the y-intercept.
Explanation:We're working on a mathematics problem here that involves the slope-intercept form of a line, which is usually written as y = mx + b. Here, m represents the slope of the line and b is the y-intercept, the point where the line intercepts the y-axis.
To write an equation for this line, we're given that the line passes through the point (8,7) and has a slope (rise over run) of negative 3/4, a negative value indicating the line decreases as it moves to the right.
We can substitute the slope and the given point into the slope-intercept equation to solve for the y-intercept: 7=(-3/4)*8+b, this simplifies to: 7=-6+b, and finally b=7+6 which gives us 13.
Therefore, the slope-intercept equation for this line with a slope of -3/4 and passing through the point (8,7) is y = -3/4x + 13.
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Final answer:
The equation of the line passing through the point (8,7) with a slope of negative 3/4 is y = -3/4x + 13 in slope-intercept form.
Explanation:
To write an equation for a line in slope-intercept form given a point and a slope, we use the formula y = mx + b, where m is the slope and b is the y-intercept. For a line that passes through the point (8,7) with a slope of negative 3/4, we first input the slope into the equation, getting y = -3/4x + b. We then substitute the x and y values from the point (8,7) into the equation and solve for b: 7 = -3/4(8) + b. This simplifies to 7 = -6 + b, and adding 6 to both sides gives us b = 13. Thus, the equation of the line in slope-intercept form is y = -3/4x + 13.
Jason is selling video games. To earn his monthly bonus, he must sell a minimum of 5 games. He has 30 he can sell. The video games cost $20 each. The function f(x) = 20x can be used to represent this situation. What is the practical range of the function? Question 16 options:
1. All whole numbers from 5 to 30, inclusive.
2. All whole numbers from 100 to 600, inclusive.
3. All real numbers.
4. All multiples of 20 between 100 and 600, inclusive.
Answer:
Correct choice is B
Step-by-step explanation:
The function [tex]f(x)=20x[/tex] represents the situation, where x is the number of sold video games and f(x) is the total cost of sold games.
Jason must sell a minimum of 5 games, this means that [tex]x\ge 5.[/tex] He has 30 video games he can sell, then [tex]x\le 30.[/tex]. Thus, the domain of the function is [tex]5\le x\le 30.[/tex]
The range of the function f(x) is
[tex]20\cdot 5\le f(x)\le 20\cdot 30,\\ \\100\le f(x)\le 600.[/tex]
your company manufactures dolls each doll requires
2 feet of ribbon for bows how many yards of ribbons will be required to make 600 dolls
Answer:
400 yd
Step-by-step explanation:
There are 2 ft of ribbon for 1 doll.
For 600 dolls,
Ribbon = 600 × 2/1
Ribbon = 1200 ft
=====
Convert feet to yards
1 yd = 3 ft
Ribbon = 1200 × 1/3
Ribbon = 400 yd
398.574986215 to the nearest ten-thousandth.
Answer: [tex]398.5750[/tex]
Step-by-step explanation:
It is important to remember that the fourth digit after the decimal point is in the ten-thousandth place.
Then, given the following number:
[tex]398.574986215[/tex]
You can follow these steps in order ti round it to the nearest ten-thousandth:
1. You can identify that the digit in the ten-thousandth place is:
[tex]9[/tex]
2. Identify the digit to the right of [tex]9[/tex]. This is:
[tex]8[/tex]
3. Since:
[tex]8>5[/tex]
You must round up. Increase the digit [tex]9[/tex] by 1. (Notice that [tex]9+1=10[/tex], then the digit to the left of [tex]9[/tex] increases by 1 too). Then:
[tex]398.5750[/tex]
Which values of P and Q result in an equation with exactly one solution? 2x+Q=Px−31 Choose all answers that apply: Choose all answers that apply: A -Q=−31 and P=−2 B- Q=31 andP=2 C - Q=−31 and P=2 D - Q=-2Q=−2 and P=2
Answer:
Option A is correct
Values of P = -2 and Q = -31
Step-by-step explanation:
Given the equation: [tex]2x+Q= Px-31[/tex]
Now, we put the given values
A.
Q = -31 and P = -2
2x + (-31) = -2x - 31
2x - 31 = -2x -31
4x = -31 + 31
4x = 0
x = 0 [one solution]
B.
Q = 31 and P = 2
2x + Q = Px -31
2x + 31 = 2x -31
Subtract 2x from both sides we get
31 = -31 False.
C.
Q = -31 and P = 2
2x + (-31) = 2x - 31
2x - 31 = 2x - 31 [More than one solutions, for any x]
D.
Q = -2 and P = 2
2x + Q = Px -31
2x + (-2) = 2x -31
2x -2 = 2x -31
2x - 2x = -31 + 2
Combine like term;
0 = -29 False.
Therefore, the values of P and Q results in an equation with exactly one solution is; P = -2 and Q = -31
Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 3/4 and center of dilation (0, 0) .
If you could tell me the point that the new quad will be at that would be great!
Answer:
Given : scale factor(k) = [tex]\frac{3}{4}[/tex]
Labelled the given diagram as A, B , C and D
Also, From the given quadrilateral figure:
The coordinates are;
A=(-8, 4).
B=(-4, -4),
C=(0, -8) and
D=(4, -4)
The rule of dilation with scale factor k and centered at origin is given by;
[tex](x, y) \rightarrow (kx, ky)[/tex]
or
[tex](x, y) \rightarrow (\frac{3}{4}x, \frac{3}{4}y)[/tex]
Then, the coordinates of the dilated given figures are;
[tex]A(-8, 4) \rightarrow (\frac{3}{4}(-8), \frac{3}{4}(4)) = A'(-6, 3)[/tex]
[tex]B(-4, -4) \rightarrow (\frac{3}{4}(-4), \frac{3}{4}(-4)) = B'(-3, -3)[/tex]
[tex]C(0, -8) \rightarrow (\frac{3}{4}(0), \frac{3}{4}(-8))=C' (0 , -6)[/tex]
[tex]D(4, -4) \rightarrow (\frac{3}{4}(4), \frac{3}{4}(-4)) = D'(3, -3)[/tex]
You can see the graph given below in the attachment
Write a rule of sequence for 25.7, 24.1, 20.9, 19.3
Answer:
It deducts 1.6 each time so the next one would be 22.5
A house valued at $100000 gains 6%in value. Which expression shows the current value of the house in dollars
Answer:
Current value of house is $106000
Step-by-step explanation:
We are given
A house valued at $100000
gains 6%in value
so,
current value = past house value + gain(%) * (past house value)
past house value =100000
gain(%)=6%
so, we can plug value
Current value is
[tex]=100000+\frac{6}{100}\times 100000[/tex]
[tex]=106000[/tex]
Which equation could generate the curve in the graph below?
y = 9x2 + 6x + 4
y = 6x2 – 12x – 6
y = 3x2 + 7x + 5
y = 2x2 + 8x + 8
Answer:
y = 2x^2 + 8x + 8
Step-by-step explanation:
The graph touches the x axis at only one point.
so there is only one real solution.
If there is only one real solution then determinant =0
Now we find out the equation that has determinant 0
Determinant is [tex]b^2 - 4ac[/tex]
Let find b^2 - 4ac for each equation
(a) [tex]y = 9x^2 + 6x + 4[/tex]
a= 9 , b = 6 and c=4
[tex]b^2-4ac= 6^2 - 4(9)(4) = -108[/tex]
determinant not equal to 0
(b) [tex]y = 6x^2 – 12x – 6[/tex]
a= 6 , b = -12 and c=-6
[tex]b^2-4ac= (-12)^2 - 4(6)(-6) = 288[/tex]
determinant not equal to 0
(c) [tex]y = 3x^2 + 7x + 5[/tex]
a= 3 , b = 7 and c=5
[tex]b^2-4ac= (7)^2 - 4(3)(5) = -11[/tex]
determinant not equal to 0
(d) [tex]y = 2x^2 + 8x + 8[/tex]
a= 2 , b = 8 and c=8
[tex]b^2-4ac= (8)^2 - 4(2)(8) = 0[/tex]
determinant equal to 0. So there is only one real solution.
Answer:
It's D. on EtDtGtE
Step-by-step explanation:
Emma,brandy,and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the 3 ropes will be the same length.Write a division sentence using compatible numbers to estimate the length of each rope
To estimate the length of each rope, the division sentence 30 ÷ 3 = 10 can be used, suggesting that each jump rope would be approximately 10 feet long using compatible numbers.
Explanation:The student's question involves dividing a rope into equal lengths to create jump ropes.
To estimate the length of each jump rope using compatible numbers for the division sentence, we can round 29.8 feet to a number that is easier to divide by 3, such as 30 feet.
Therefore, the division sentence would be 30 ÷ 3 = 10. So, each jump rope would be approximately 10 feet long.
This is an estimate that allows us to perform calculations quickly in our head or on paper, and it is very close to the exact answer.
Final answer:
To estimate the length of each rope from a total length of 29.8 feet when the rope is divided into 3 parts, compatible numbers are used, rounding 29.8 to 30, and the division sentence is 30 ÷ 3, resulting in each estimated rope being about 10 feet long.
Explanation:
To estimate the length of each rope when a 29.8-foot long rope is cut into 3 equal parts, we could use compatible numbers for easier division in our head. Compatible numbers are numbers that are close to the actual numbers and make it easy to do mental arithmetic. We could round 29.8 feet to 30 feet because 30 is divisible by 3. Here's the division sentence using compatible numbers:
30 feet ÷ 3 = 10 feet
Thus, each rope would be approximately 10 feet long. This process is similar to converting units where the scale factor may be omitted at the end when it is 1, as in converting 3.55 m to 355 cm.
Which portion would you use to solve this problem?
Nine is 4% of what number?
A. 9/x = 40/100
B. 9/x = 4/100
C. 4/9 = x/100
D. X/9 = 4/100
[tex]p\%=\dfrac{p}{100}\\\\4\%=\dfrac{4}{100}\\\\\dfrac{9}{x}=\dfrac{4}{100}\to\boxed{B.}[/tex]
how to graph 2x+4y=28
Step-by-step explanation:
First, set the x value to be 0:
2(0) + 4y = 28
4y = 28
y = 28/4 = 7
So when x = 0, y = 28/4
Now set the y value as 0:
2x + 4(0) = 28
2x = 28
x = 14
So when x = 14, y = 0
Simply plot these two values:
(0, 7) and (14 , 0)
And join them up, an attatched image shows this graph.
Answer:
y = -1/2 + 7
Step-by-step explanation:
You have to isolate y so...
2x + 4y = 28 is the original problem. Then subtract 2x on both sides. After you subtract 2x, you have to divide 4 to both sides. Then after you divide 4 to both sides, it'll be y = -2/4 + 7. After that, simplify -2/4, and you'll get y = -1/2 + 7 as your answer.
What is the surface area of the cylinder? 14ft length 9ft height
A.) 126πft²
B.) 273πft²
C.) 224πft²
D.) 175πft²
Answer:
C
Step-by-step explanation:
I am assuming the top and bottom are closed.
Surface are = area of the curved side + 2 * area of the top
= 9* 14 * π + 2 * π * 7^2
= 126π + 98π
= 224π ft^2
Answer:
224
Step-by-step explanation:
the eauation of the line has the points (0,-1) and (2,5) is:
Answer:
y = 3x - 1
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 )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 5)
m = [tex]\frac{5+1}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3
the line crosses the y-axis at (0, - 1) ⇒ c = - 1
y = 3x - 1 ← equation of the line
Need help I’m really dumb
Answer: 83485
=====================
Explanation:
The formula we will use is
A = P*(1+r)^t
with
A = final amount = unknown (what we want to find)
P = starting amount = 24000
r = growth rate in decimal form = 0.12
t = number of years elapsed = 11 (since we go from 2014 to 2025)
Plug those values mentioned into the formula. Then use a calculator to simplify
A = P*(1+r)^t
A = 24000*(1+0.12)^11
A = 24000*(1.12)^11
A = 24000*3.47854999334551
A = 83485.199840292
A = 83485
The investment will be worth about 83485 dollars
pls help me on this word proplem?
Equation: 300+35x=1700; where x represents the amount of teams participating in the tournament
Answer: 40 teams competed in the lacrosse tournament
How to solve-
300+35x=1700
300-300+35x=1700-300
35x=1400
35/35x=1400/35
x=40