Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
A)3/4 divided by 13/2
B)13/2 divided by 3/4
C)3/4(13/2)
D)13/2(3/4)
E)13/2(4/3)
Answer:
B and E
Step-by-step explanation:
Answer:
B) 13/2 divided by 3/4 and E) 13/2(4/3)
h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?
Answer:
6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!
Step-by-step explanation:
Question 3(Multiple Choice Worth 1 points)
(08.05 MC)
The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?
g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2
Answer:
[tex]g(x)=(x+3)^2[/tex] best describes g(x)
Step-by-step explanation:
We are given an equation of graph[tex]f(x)=x^2[/tex]
Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)
Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).
So, By using rule :
[tex]f(x+3)=(x+3)^2[/tex]
So, [tex]g(x)=(x+3)^2[/tex]
So, Option A is true
Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)
Which statement is true about the end behavior of the
graphed function?
A: As the x-values go to positive infinity, the function's
values go to negative infinity.
B: As the x-values go to zero, the function's values go to
positive infinity
C: As the x-values go to negative infinity, the function's
values are equal to zero.
D: As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
Option A.
Step-by-step explanation:
Let the given graph represent the function f(x).
From the given that given graph it is clear that the end behavior of the function f(x):
1. As the x-values go to positive infinity, the function's values go to negative infinity.
[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]
2. As the x-values go to negative infinity, the function's values go to positive infinity.
[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]
Therefore, the correct option is A.
Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20
Answer:
A.
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
Step-by-step explanation:
Hi, to answer this question we have to write a system of equation with the information given:
The price of each package will be equal to sum of the products of each vegetable (a,b or c) and their respective amount :
So:
2 tomatoes, 1 eggplant, 3 potatoes for $102a +1b+3c =10
3 tomatoes, 2 eggplants, 4 potatoes for $143a+2b+4c=14
4 tomatoes, 2 eggplants, 6 potatoes for $204a+2b+6c=20
The system is:
2a +b+3c =10
3a+2b+4c=14
4a+2b+6c=20
(option A)
Feel free to ask for more if needed or if you did not understand something.
(-4ab - 5a + 3) - (-7ab + 9)
________________________________
Hey!!!
solution,
(-4ab - 5a +3)-(-7ab+9)
=-4ab -5a+3 + 7ab - 9
= -4ab+7ab-5a+3-9
= 3ab-5a-6
Hope it helps...
Good luck on your assignment
______________________________
Need help on this please, a positive answer only :)!
Answer:
all statements are true
Step-by-step explanation:
for A real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6
Find the slope of the line through (2, -3) and (-4, 3).
Answer:
Slope= -1x OR -x
Step-by-step explanation:
rise over run: y2 - y1 / x2 - x1
= 3 - (-3) / -4 - 2
= 6 / -6
= -1
Answer:
Y=-x-3 slope =-1
Step-by-step explanation:
To first find the gradient u have to subtract the y intercepts and the x intercepts
3--3/-4-2
=6/-6=-1
Y-3/x--4=-1
Y-3=-1(x+4)
Y-3=-x+-4
Y=-x-4+3
Y=-x-3
Slope=-1
IO
80
14x + 2
The figure is a parallelogram.
Solve for x.
'S
2
7
Answer:
x = 7
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary, thus
80 + 14x + 2 = 180
14x + 82 = 180 ( subtract 82 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
In the given parallelogram QRST, x = 7°.
What are adjacent angles?In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.
How do we solve the given question?In the question, we are shown a parallelogram QRST and are asked to find the value of x.
We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.
∠TQR = 80°, ∠QRS = (14x + 2)°
Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°
∴ ∠TQR + ∠QRS = 180°
or, 80° + (14x + 2)° = 180°
or, 14x = 180° - 80° -2° = 98°
or, x = 98°/14 = 7°
∴ In the given parallelogram QRST, x = 7°.
Learn more about Parallelograms at
https://brainly.com/question/24056495
#SPJ2
If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°
Answer:
B) 102°
Step-by-step explanation:
Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.
In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ compass bearings ?”
Answer:
this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."
I can't really make sense of it though...
Answer:
What is the difference between constructing a square and constructing a regular hexagon?
The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.
The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.
The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.
Step-by-step explanation:
What is the rule that describes the numbers in this pattern?
-10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001
A Each number is 10 more than the number to its left.
B Each number is one-tenth the number to its left.
C Each number is one-tenth the number to its right.
D Each number is 10 times the number to its left.
Answer: C Each number is one-tenth the number to its right.
Step-by-step explanation: Just count the number to the right each time.
Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a
Answer:
a = 20 because the rate of change is -3
Step-by-step explanation:
In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.
The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...
a = 20 because the rate of change is -3
equivalent fractions for 5 out of 7
Answer:
There are 20 ways but I will give you 4 :)
1. Multiply the numerator and the denominator by 2:
5/7 x 2/2 = 10/14
2. Multiply the numerator and the denominator by 3:
5/7 x 3/3 = 15/21
3. Multiply the numerator and the denominator by 4:
5/7 x 4/4 = 20/28
4. Multiply the numerator and the denominator by 5:
5/7 x 5/5 = 25/35
Step-by-step explanation:
There you go!
A serving tray is in the shape of a rectangular prism without a top. The dimensions of the tray are 8 inches by 10 inches by 2 inches. What is the surface area of the tray?
A: 152 square inches
B: 212 square inches
C: 216 square inches
D: 232 square inches
Answer:
it's a 152
Step-by-step explanation:
The surface area of the rectangular prism is S = 232 inches²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
A serving tray is in the shape of a rectangular prism without a top.
And , dimensions of the tray are 8 inches by 10 inches by 2 inches.
So , surface area A = 2(80) + 2(16) + 2(20)
A = 160 + 32 + 40
A = 232 square inches
Hence , the surface area is 232 inches²
To learn more about surface area of prism click :
https://brainly.com/question/9183590
#SPJ3
Please help me i have 15 minutes left please help ill give 15 points
Step-by-step explanation:
Is (–5, 0) a solution to the equation y = 7x − 5?
Answer:
no
Step-by-step explanation:
to see, plug in -5 for x and find your y outcome.
y = 7(-5) -5
y = -35 - 5
y = -40
since y does not equal 0, (-5,0) is not a solution for the equation.
Answer:
no
Step-by-step explanation:
y = 7x − 5?
Substitute the point into the equation
0 = 7(-5) -5
0 = -35-5
0 = -40
This is not true so (-5,0) is not a solution
Use the following information for #19
Connor makes $120 for every 10 hours he works.
#19 If Connor earns $300, how many hours has he worked?
Answer:
25 hours
Step-by-step explanation:
$120 for every 10 hours
$12 for every hour
$300/12= 25 hours
Please help ASAP. Will mark as Brainliest.
∠A and ∠B are supplementary. If m∠A = 83° , what is the measure of ∠B?
7°
83°
97°
17°
suplementary means adds to 180
a+b=180
a=83
83+b=180
minus 83 both sidse
b=97
answer is 97 degrees
Answer:
97°
Step-by-step explanation:
Supplementary angles are a pair of angles whose sum is 180°.
If one angle of a pair of supplementary angles is given, it is easy to find the other angle.
It can be found out by subtracting the given angle from 180.
So here in this case, ∠A + ∠B = 180° where ∠A = 83°
83 + ∠B = 180
∠B = 180 - 83
∠B = 97°
So the m∠B = 97°
Hope this answer helps you.
PLS MARK ME AS BRAINLIESt.
Help anyone???? Please
Answer: A
Angle a = Angle b since they are vertical angles
Order 0.12, 0.1, 0.02, and 0.21 in order from least to greatest.
This is the answer
0.02
0.1
0.12
0.21
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...
find the slope of the line that passses thruogh 7.7 and 2,1
Answer:
6/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-7)/(2-7)
m=-6/-5
m=6/5
Write the equation in standard form for the circle passing through (6, 6) centered at the
origin
Answer:
x² + y² = 72
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)
r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]
= [tex]\sqrt{6^2+6^2}[/tex]
= [tex]\sqrt{36+36}[/tex]
= [tex]\sqrt{72}[/tex]
Thus
x² + y² = ([tex]\sqrt{72}[/tex] )² , that is
x² + y² = 72 ← equation of circle
Carl bought 17 packs of baseball cards at a flea market, at a total cost of $37.91. If each pack of cards cost the same amount, how many much de each pack cost
Answer:
[tex]=2.23[/tex]$
Step-by-step explanation:
[tex]\frac{37.91}{17}\\\mathrm{Divide\:the\:numbers:}\:\frac{37.91}{17}=2.23\\=2.23[/tex]
Answer:
$2.23
Step-by-step explanation:
17 packs = $37.91
/17. /17.
1 pack = $2.23
plz help will be marked brillent 5 stars and thanks !!!!
Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300 on Saturday and Sunday. She raised $50 on Saturday. Which graph shows all the distances, in kilometers, that Yolanda could have walked on Sunday to reach her goal?
Answer:
B
Step-by-step explanation:
She needed to raise at least $250
$250 divided by $10 equals 25 km
So she need more than 25km to raise over $300
please help!!!
All of the triangles above are _____ triangles.
a.) obtuse
b.) isosceles
c.) right
d.) acute
Plz I need help with this
Simplify 12c+14b+3c-22
Answer:
15c +14b -22
Step-by-step explanation:
12c+14b+3c-22
Combine like terms
12c+3c+14b-22
15c +14b -22
A thousand dollars is left in a credit union drawing 7% compounded monthly.
What is the balance at the end of 10 years?
Please show the work to answer compound interest work
Answer: $2009.66
Step-by-step explanation:
A = P(1 + r/n)^nt
The balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
A thousand dollars is left in a credit union drawing 7% compounded monthly. The balance at the end of 10 years has to be find out.
Here the data given are,
Principal amount $1000.The rate of interest is 7%.Time period is 10 years.The number of month in a year is 12.Put these values in the above formula as,
[tex]A=1000\times\left(1+\dfrac{7}{12\times100}\right)^{12\times10}\\A=2009.66[/tex]
Thus, the balance at the end of 10 years in account after the credit union drawing 7% compounded monthly is $2009.66
Learn more about the compound interest here;
https://brainly.com/question/24274034
The total population of students was 380. Based on the data, what is the best approximation for the total number of students who have a cell phone plan with company Y?
Answer:
114
Step-by-step explanation:
