Answer:
[tex]\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the number of bags with 8 onions and let [tex]b[/tex] be the number of bags with 3 onions. We have the following system of equations:
[tex]\begin{cases}a+b=7,\\8a+3b=41\end{cases}[/tex]
Subtracting [tex]b[/tex] from both sides of the first equation, we get [tex]a=7-b[/tex]. Substitute this into the second equation:
[tex]8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}[/tex]
Therefore, the number of 8-onion bags is:
[tex]a=7-b,\\a=7-3,\\a=\boxed{4}[/tex]
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
write and expression for the perimeter of a rectangle with length L and width 6
Answer:
P = 2(L + 6)
Step-by-step explanation:
The perimeter (P) of a rectangle is = 2(Length + Width)
Length = L
Width = 6
.: P = 2(L + 6)
find the two rational number between -2 and-1
Answer:
-3/2, -7/4
Step-by-step explanation:
The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4
HPH (Happy to help)
ASAP please help meeeeeeeeeee
Answer:
Step-by-step explanation:
1/16 + 1/2 = 1/16 + 8/16 = 9/16
F(x) = 6x+2, find f (x+3)
Answer:
6x+20
Step-by-step explanation:
F(x) = 6x+2
f(x+3) means replace x with x+3
F(x+3) = 6(x+3)+2
= 6x+18+2
= 6x+20
Answer:
A; F(x+3) = 6x^2 + 20x + 6
Step-by-step explanation:
To find it you just would multiply F(x) onto the other side. So it would look like this:
F(x+3) = 6x + 2 (x+3)
F(x+3) = 6x^2 + 2x + 18x + 6 *combine like terms getting you
F(x+3) = 6x^2 + 20x + 6
Hope this helped!!
help asap no wrong answers----------------------
Answer:
[tex]y=-2(sin(2x))-7[/tex]
Step-by-step explanation:
1. Approach
Given information:
The graph intersects the midline at (0, -7)The graph has a minimum point at ([tex]\frac{\pi}{4}[/tex], 9).What conclusions can be made about this function:
The graph is a sine function, as its y-intercept intersects the midlineThis graph has a negative coefficient, this is because after intersecting the midlines at the y-intercept, the function has a minimum.This graph does not appear to have undergone any horizontal shift, as it intercepts the midlines with its y-interceptTherefore, one has the following information figured out:
[tex]y=-n(sin(ax))+b[/tex]
Now one has to find the following information:
amplitudemidlineperiod2. Midline
The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:
y = -7
2. Amplitude
The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.
point of minimum: [tex](\frac{\pi}{4},9)[/tex]
midline: [tex]y=-7[/tex]
Amplitude: 9 - |-7| = 9 - 7 = 2
3. Period
The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).
point of minimum: [tex](\frac{\pi}{4},9)[/tex]
midline intersection: [tex](0, -7)[/tex]
Period: [tex]4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi[/tex]
However, in order to input this into the function in place of the variable (a), one has to divide this number by ([tex]2\pi[/tex]).
[tex]a=\frac{2\pi}{\pi}=2[/tex]
4. Assemble the function
One now has the following solutions to the variables:
[tex]n =-16\\a=2\\b=-7\\[/tex]
Substitute these values into the function:
[tex]y=-2(sin(2x))-7[/tex]
what is constant in graphing ?
Answer:
the constant is the number without an x attaches to it.
Ex:
y = 2x + 9
9 is a constant because it is not attached to any x
y = x^3 + 2x^2 + 10x + 19
19 is a constant because it is not attached to any x
Suppose that a1, a2, a3, . . . is an arithmetic sequence, in which a3 = 19 and a14 = 96. Find a1.
what is 3 over 4 divided by 1 over 6
PLEASE HELPPPPPP!! I need to find x!!!!
Here
[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]
Answer:
i can help you i know this answer
Help Please
Find The Surface Area Of The Prism
Answer:
360 cm^2
Step-by-step explanation:
Find the area of each face of the triangular prism.
Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.
Areas of the 2 triangular bases (they are similar triangles):
1/2 x 8 cm x 6 cm = 24 cm^2
24 x 2 = 48 cm^2
Area of the rectangular face:
8 x 13 = 104 cm^2
Area of another rectangular face:
6 cm x 13 cm = 78 cm^2
Area of another rectangular face:
13 cm x 10 cm = 130 cm^2
Add up all the areas of all faces:
48 + 104 + 78 + 130 = 360
So the SA is 360 cm^2
The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
of the problem?
width x
length 3x
Answer:
the answer is 3x the width
Make x the subject of the formula y=4x²-2
Step-by-step explanation:
y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4hope it helps.stay safe healthy and happy....Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
Find the percentage of the following:
20/60
18/60
21/60
31/60
Answer:
20/60 = 33%
18/60 = 30%
21/60 = 35%
31/60 = 52%
Step-by-step explanation:
Just divide em'
Simple as that.
Answer:
20/60 = 33%18/60 = 30%21/60 = 35%31/60 = 51.67%I hope th is helps you I just divided the fractions by the way :)
Someone, please help me on this one
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms
= 6x³ - 3x² + 7x - 8
Answer:
D. (f + g )( x ) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Given :-
f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.To Find :-
( f + g ) ( x ).Solution :-
(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.
Arranging like terms.
(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3
Combine like terms.
(f + g )( x ) = 6x³ - 3x² + 7x - 8
True or false..?
In a parallelogram, consecutive angles are supplementary.
Answer:
True
Step-by-step explanation:
Both pairs of opposite angles are congruent. parallelogram, rectangle, rhombus, square. Both pairs of opposite sides are congruent. parallelogram, rectangle, rhombus, square. All consecutive angles are supplementary. parallelogram, rectangle, rhombus, square. diagonals bisect each other. parallelogram, rectangle, rhombus, square.
Answer:
true
Step-by-step explanation:
any 2 consecutive angles are supplamentary
Help Please!!!
Find The Lateral surface area of this cylinder
Answer:
LSA = 56.5 cm²
Step-by-step explanation:
LSA = 2πrh
LSA = 2π(3)(3)
LSA = 56.5 cm²
Jernel has to figure out the area of her square garage. She knows that one side of the garage is equal to the length of her rabbit pen. The dimensions of the rectangular rabbit pen are 13 by 10.
Answer:169
Step-by-step explanation:13 x 13 = 169
You would take the larger side of the pen (13) or else it wouldn’t fit if you chose 10.
Factor of 3x^3-x^2-20x-12
Answer:
(−3)(+2)(3+2)
Step-by-step explanation:
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(32+8+4)
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(+2)(3+2)
Sarah earned 45 1/2 dollars in 5 3/4 minutes. What is the unit rate in dollars per
minute?
Answer:
7 21/23 dollars per minute
Step-by-step explanation:
Total amount Sarah earns = 45 1/2 dollars
Time taken to earn = 5 3/4 minutes
What is the unit rate in dollars per
minute?
unit rate in dollars per
minute = Total amount Sarah earns / Time taken to earn
= 45 1/2 ÷ 5 3/4
= 91/2 ÷ 23/4
= 91/2 × 4/23
= (91 * 4) / (2 * 23)
= 364/46
= 7 42/46
= 7 21/23 dollars per minute
unit rate in dollars per
minute = 7 21/23 dollars per minute
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
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If the outliers are not included what is the mean of the data set 76,79,80,82,50,78,79,81,82
Answer:
The answer is 80
Step-by-step explanation:
we know that
the outlier is 50, as it is not around the other numbers in the data set.
therefore
mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9
mean=[720]/9
mean=80
Answer:
80
Step-by-step explanation:
mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9
mean=[720]/9
mean=80
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
in which figure , AB || CD . determine x
☝︎☝︎☝︎☝︎☝︎
[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....What is the probability of rolling 2 standard dice which sum to 9?
What is the equation of the graph ? ILL pay
Answer:
Step-by-step explanation:
You have it right it is 6^x -3
You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x
Help fast please in a test and don’t know the answer I have tried Googling and everything please help
Answer:
Surface Area = 3,543.7 cm²
Step-by-step explanation:
Surface area of the cylinder = 2πr(h + r)
Where,
radius (r) = 12 cm
height (h) = 35 cm
Plug in the values into the surface area formula
S.A = 2*π*12(35 + 12)
S.A = 24π(47)
S.A = 3,543.71651 cm²
≈ 3,543.7 cm² (approximated to the nearest tenth)
Find the measure of arc BC?
Answer:
129
Step-by-step explanation:
Since,
AD = BC
AD = 3x + 24
BC = 4x - 11
3x + 24 = 4x - 11
4x - 11 = 3x + 24
4x - 3x = 24 + 11
x = 35
BC = 4x - 11
= 4 ( 35 ) - 11
= 140 - 11
BC = 129
Answer:
[tex]AB=BC[/tex]
[tex]3x+24=4x-11[/tex]
[tex]3x-4x=-11-24[/tex]
[tex]x=35[/tex]
[tex]BC=4\times 35-1[/tex]
[tex]=140-11[/tex]
[tex]=129[/tex]
--------------------------
Hope it helps..
Have a great day!!
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear
Answer:
T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The given situation is linear equation in T and t. so option D is correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
T = -t / 4 + T0
where t is the temperature in minutes elapsed.
T is the final temperature.
T0 is the initial temperature.
We need to find the type of model best fits the given situation.
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Therefore, The given situation is linear equation in T and t. so option D is correct option.
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