Ms. Logrieco's door: 35 students per 10 minutes
Mr. Riley's door: 22 students per 8 minutes
Time Frame: 24 minutes
35 x 2 = 70
35 x 2/5 = 14
70 + 14 = 84
22 x 3 = 66
84 + 66 = 150
Thus, we can expect for 150 students to be in the cafeteria after 24 minutes.
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? A. 6 cups B. 7 cups C. 8 cups D. 9 cups
Answer:
hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.
B. 7 cups
The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.
What is the fraction?A fraction is a number which has numerator and denominator.Number of cups used to make muffins = 3 1/5
Estimation = 3 cups
Number of cups used to make banana bread = 3 2/3
Estimation = 4 cups
Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread
= 3 + 4 cups
= 7 cups.
The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.
Learn more about fraction here:
https://brainly.com/question/78672
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Which equation is represented by the intersection of the graphs below? a. cosx=-1 b.secx=-1 c. cscx=-1 d.tanx=-1
Answer:
Option D.
Step-by-step explanation:
From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.
The curves represent the graph of [tex]y=\tan x[/tex].
We need to find the equation which is represented by the intersection of the graphs.
We have two equations one is for curve and another for horizontal line.
[tex]y=\tan x[/tex]
[tex]y=-1[/tex]
Equate both equations to get the equation which is represented by the intersection of the graphs.
[tex]\tan x =-1[/tex]
Therefore, the correct option is D.
Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6? y = negative 6 x + four-fifths y = four-fifths x minus 6 y = four-fifths x + 6 y = 6 x + four-fifths
Answer:
The answer is
[tex]y = \frac{4}{5} x - 6[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
m / slope = 4/5
c / y intercept = - 6
Substituting the values into the above formula
We have the final answer as
[tex]y = \frac{4}{5} x - 6[/tex]
Hope this helps you
Answer:
the correct answer is C.
Step-by-step explanation:
i got it right on edge 2020
PLEASE HELP!! DUE SOON
Answer:
b=3a/8
a=8b/3
Step-by-step explanation:
b/a=k ( k is the constant proportional)
3/8=9/24=15/40
b/a=3/8
b=3a/8
a=8b/3
I hope this is right answer
Write an expression for the cost of 1 uniform, add $13, $11 and $8 .
Answer:
Hey there!
Let the cost of one uniform be c, so the expression becomes
c+13+11+18
Thus, we have c+42
Hope this helps :)
Answer:
32
Step-by-step explanation:
13+11+8=32
Which of the following equations is of a parabola with a vertex at (0, 3)?
Оy (x-3) 2
Оун (х+3) 2
Оy 2-3
о у х2 + 3
Answer:
Step-by-step explanation:
y=x²+3
vetex=(h,k) in the equation : ax²+bx+c
y=x²+3 ( a=1,b=0,c=0)
h=-b/2a=0
k=c=3
Select the correct answer.
Write (21 − 4i) − (16 + 7i) + 28i as a complex number in standard form.
A.
5 + 39i
B.
5 + 17i
C.
5 − 39i
D.
5 − 17i
Answer:
B) 5 + 17i is your answer.
Step-by-step explanation:
In order to write this equation as a complex number in standard form, you must first simplify each term.
Apple the distributive property.
21 - 4i - 1 * 16 - (7i) + 28i
Multiply -1 by 16.
21 - 4i -16 - (7i) + 28i
Multiply 7 by -1.
21 - 4i - 16 - 7i + 28i
Now simplify by adding terms :)
Subtract 16 from 21.
5 - 4i - 7i + 28i
Subtract 7i from -4i.
5 - 11i + 28i
Add -11i and 28i.
= 5 + 17i
Kaori is taking a free-throw. H(d) models the basketball's height (in meters) at a horizontal distance of d meters from Kaori. What does the statement H(R)=4 mean?
Answer:
the basketball's height is 4 meters at a horizontal distance of R from Kaori
Step-by-step explanation:
The function description tells you that the statement H(R)=4 means the basketball's height is 4 meters at a horizontal distance of R from Kaori.
Answer:
At a horizontal distance of R meters from Kaori, the ball's height was equal to 4 meters.
Step-by-step explanation:
What is the unit price of a quart of juice for $0.79?
A. $3.16/gallon
B. 3 half-gallons for $5.40
C. $3.16/1b
D. 7 pints for $4.20
Answer:
a
Step-by-step explanation:
there are 4 quarts in a gallon.
4 times $0.79 =$3.16
32x - 12.8 simplify plz
Answer:
Length = 8x - 3.2
Step-by-step explanation:
Perimeter = 4(Length) [Since it's a square so all the sides are equal]
Given that Perimeter = 32x - 12.8
32x - 12.8 = 4(Length)
Dividing both sides by 4
=> Length = [tex]\frac{4(8x-3.2)}{4}[/tex]
=> Length = 8x - 3.2
Now, Three equivalent expressions to find the perimeter
=> Perimeter = 32x - 12.8
=> Perimeter = 4(8x - 3.2) [Perimeter = 4 (Length)]
=> Perimeter = 2(16x - 6.4)
Answer:
[tex]\boxed{8x-3.2}[/tex]
Step-by-step explanation:
The perimeter is 32x - 12.8 of a square.
Use formula for perimeter of a square.
[tex]P=4a[/tex]
[tex]P=perimeter\\a=side \: length[/tex]
[tex]32x - 12.8=4a[/tex]
Solve for side length.
[tex]\frac{32x - 12.8}{4} =a[/tex]
[tex]8x-3.2=a[/tex]
Three equivalent expressions for perimeter:
32x - 12.8
⇒ 8(4x - 1.6)
⇒ 4(8x - 3.2)
⇒ 2(16x - 6.4)
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
Answer:
The table D represents the function that will have the greatest y-values for very large values of x.
Step-by-step explanation:
The table A represents a linear function, for which each one unit increment in the "x" variable produces a three unit increment in the "y" variable. This means that the growth rate of this function is 3.
The table B also represents a linear function, for which each one unit increment in the x variable produces a 100 unit increment in the y variable. This means that the growth rate of this function is 100.
The table C also represents a linear function, for which each one unit increment in the x variable produces a 10 unit increment in the y variable. This means that the growth rate of this function is 10.
The table D on the other hand does not represent a linear function, since the growth rate is variable and increases for greater values of x. This means that as x grows larger, the growth rate of the function also grows larger, resulting in a much greater y value for very large x values if we compare it to a linear function, like the other options.
Answer:
D
Step-by-step explanation:
BIGBRAIN
If each side of a cube is halved, its surface area will be __________________.
(a) halved (b) one-fourth (c) doubled (d) same
Answer:
b)
Step-by-step explanation:
Surface area of a cube = 6a² , here a is the side of cube
When side is halved, side = a/2
Now, the surface area of new cube = 6* (a/2)²
= [tex]6*\frac{a^{2}}{4}=\frac{1}{4}*6a^{2}\\[/tex]
= one fourth of the cube
pls help me do this (atleast one) using quadratic formula
Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio.
This question is incomplete
Complete Question
Mr. Conner is placing stone tiles to make a patio. Each tile is 1 square foot. The drawing shows the dimensions of his patio. A quadrilateral is broken into a triangle and rectangle. The triangle has a base of 20 feet and a height of 6 feet. The rectangle has a base of 20 feet and a height of 12 feet. How many total stone tiles will Mr. Connor need for the patio?
Answer:
300 tiles
Step-by-step explanation:
From the above question, we know that the patio is a combination of a triangle and a rectangle.
Step 1
Find the area of the shape
a) Area of the Triangle = 1/2 × Base × Height
Base = 20 feet
Height = 6 feet
Area = 1/2 × 20 × 6
Area = 60 square feet
b) Area of the rectangle
= Length × Breadth.
The rectangle has a
Base = Breadth = 20 feet
Height = Length = 12 feet
Area = 20 × 12 = 240 square feet.
Total Area of the patio
= Area of Triangle + Area of square
= 60 square feet + 240 square feet
= 300 square feet
Step 2
We are told that each stone tile = 1 square foot.
Hence, if the total area of the patio = 300 square feet, the number of stone tiles that would be used is
1 square foot = 1 stone tile
300 square feet = 300 stone tiles.
Therefore,the total stone tiles that Mr. Connor will need for the patio is 300 stone tiles.
Answer:
The answer is 300
Step-by-step explanation:
Need help with this problem!
Answer:
1 Pound of Rock = .01 cubic feet
OR 100 pounds per cubic foot
A) Company needs 500,000 pounds of rock
Volume of Rock to be transported: = 500,000 * .01 =
5,000 cubic feet
B) Volume of each truck 12 * 9 * 8 = 864 cubic feet
C) Trucks needed for entire shipment:
= 5,000 / 864 = 5.78
So, we'll need 6 trucks.
Step-by-step explanation:
In 2007, Joelle spent $5,900 on her health care. If this amount increased by 6 percent per year, what would be the amount Joelle spent in 2017 for the same health care? Hint: Use Exhibit 1-A. (Round FV factor to 3 decimal places and final answer to 2 decimal places.)
Answer:
Joel’s is the 28
Step-by-step explanation:
For the one is me cause Zyou KNOW ULTRA,,,!,,,,,,292
F(x) = 3x+2 what is f(5)
Answer:
f(5) = 17Step-by-step explanation:
f(x) = 3x + 2
To find f(5) substitute 5 into f(x)
That's
f(5) = 3(5) + 2
= 15 + 2
= 17
Hope this helps you
Answer:
17
Step-by-step explanation:
You just plug 5 into the equation
f(5)= 3(5)+2
=15+2
=17
Hope this helped! :)
In circle O, MP is a diameter. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ? 139° 145° 151° 174°
Answer:
m arc NP = 151°
Step-by-step explanation:
m arc MN = x
m arc NP = y
5x + 6 = y
x + y = 180, I will solve with substitution
x + (5x + 6) = 180
6x + 6 = 180
6x = 174
x = 29
y = 151
Answer:
151 or c
Step-by-step explanation:
Help somebody please!!Thank you
The diagonal of the square is the same as the diameter of the circle.
So, the diameter of the circle is 36.
Circumference formula:
C = 2πr
To find the radius, we just need to divide the diameter by two:
36 / 2 = 18
Now, solve using the given values.
C = 2π(18)
C = 36π
Therefore, the answer is D.
Best of Luck!
Can someone help again please
Answer:
192km^2
Step-by-step explanation:
Well there are 5 surfaces
1) The back one
10km*6km=60km^2
2) the square
(6km)^2=36km^2
3) the two triangles
2(6km*8km/2)=48km^2
4) the front one
6km*8km=48km^2
add all up and get
192km^2
Answer: 192 square kilometers
Step-by-step explanation:
Two triangular Sides A=bh/2 8×6/2=24
So add two of them. : 48
Back side 10 × 6 = 60
Top 6×6=36
Front 6×8=48
Total: 48+60+36+48=192
Efren is constructing a line parallel to EF¯¯¯¯¯ through point G. What step should be his next step? With the compass point on D, construct an arc that intersects EF¯¯¯¯¯ and GD←→ . With the compass point on G, construct an arc that intersects GD←→ . With the compass point on D, construct an arc that intersects EF¯¯¯¯¯ twice. With the compass point on G, construct an arc that intersects EF¯¯¯¯¯ .
Answer:
The correct option is;
With the compass point on G, construct an arc that intersect GD←→
Step-by-step explanation:
The steps for constructing a parallel line to a given point is as follows;
1) With the straightedge, a transversal is drawn intersecting the giving line and passing through point G
2) Copy the angle formed between the transversal and the given line and the to the point G starting by constructing an arc with the compass on point G to intersect GD←→ then with the compass opening still the same, place the compass on the point of intersection of the arc constructed from point G on GD and construct another arc to intersect the arc previous arc from G to GD
3) The line drawn from the intersection through is a parallel line to EF
Therefore, the correct option is that with the compass point on G, construct an arc that intersect GD←→.
Answer:
A. With the compass on point D , construct an arc that intersects EF¯¯¯¯¯ and GD←→.
Step-by-step explanation:
I just took the test!
Your sister asks you to pick out one of her CDs to listen to. She has 6 rock, 4 country, and 4 rap CDs. If you pick one at random, what is the probability that you pick a country CD?
Hey there! I'm happy to help!
We have 6 rock, 4 country, and 4 rap CDs. If we add these all together ,we have 14 total CDs.
Since there are 4 country CDs, we have a 4/14 chance of picking one, which simplifies to 2/7 chance.
Have a wonderful day!
Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height of the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Answer:
2.5 second
Step-by-step explanation:
The equation is missing in the question.
The equation is, [tex]h=-8t^2+40t[/tex] , where 'h' is the height and 't' is time measured in second.
Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :
[tex]\frac{dh}{dt} =0[/tex]
Now the differentiating the equation with respect to time t, we get
[tex]\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)[/tex]
[tex]\frac{dh}{dt}=-16t+40[/tex]
For maximum height, [tex]\frac{dh}{dt} =0[/tex]
So, [tex]-16t+40=0[/tex]
[tex]\Rightarrow 16t=40[/tex]
[tex]\Rightarrow t=\frac{40}{16}[/tex]
[tex]\Rightarrrow t = 2.5[/tex]
Therefore, the ball takes 2.5 seconds time to reach the maximum height.
33 divided by -11 equals what?
The quadrilateral MNOP is a trapezoid. If MQ ≅ NR and m∠NMQ - 140° calculate m∠MNR.
Answer:
140 degrees.
Step-by-step explanation:
As MQ = NR and MNOP is a trapezoid MNRQ is an isosceles trapezoid.
So m<MNR = m < NMQ.
What is the vertex on the graph of the absolute-value parent function?
Answer:
The highest or the lowest point on the graph is the vertex of an absolute-value function!
Step-by-step explanation:
check 3 is a zero of the polynomial p(x)= 3x2-27
Answer:
see explanation
Step-by-step explanation:
If x = 3 is a zero then p(3) = 0 , that is
p(3) = 3(3)² - 27 = 3(9) - 27 = 27 - 27 = 0
Thus x = 3 is a zero of p(x)
Answer:
Step-by-step explanation:
p(x) = 3x² - 27
p(3) = 3*3² - 27
= 3 * 9 - 27
= 27 - 27
= 0
p(3) =0 . Therefore, 3 is z zero of p(x)
If a circle is dilated by a scale factor of
what will be the lenth of the new radius?
18m
12 m
9 m
36 m
27 m
Answer/Step-by-step explanation:
The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.
Length of new radius = length of the radius of the dilated circle × scale factor of dilation
Length of the radius of the dilated circle is given as 18m
Therefore,
Length of new radius = 18m × scale factor.
If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.
Let's assume any of the following scale factors was what was given in the question:
*If scale factor given is ½, new radius length = 18m × ½ = 9m
*If scale factor given is 2, new radius length = 18m × 2 = 36m
HELP ME! In a complete sentence, describe the relationship between the three angles in the diagram below. Write and solve an equation to find the value of b and the measures of ∠QPS, ∠SPT, and ∠TPR.
Answer:
b = 17
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Step-by-step explanation:
The sum of the three angles shown is a linear angle, with a measure of 180°.This fact can be used to write an equation:
(8b -12)° +b° +(2b+5)° = 180°
11b -7 = 180
11b = 187
b = 17
8b -12 = 8(17) -12 = 124
2b +5 = 2(17) +5 = 39
The value of b is 17.
The angle measures are ...
∠QPS = 124°
∠SPT = 17°
∠TPR = 39°
Find the missing side length of the right triangle shown. Round to the nearest tenth, if
necessary.
Answer:
? = 26 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )
? = [tex]\sqrt{676}[/tex] = 26
Answer:
26 inch
Step-by-step explanation:
unknown side can be found using Pythagorean theorem
a*a+b*b=c*c
24*24+10*10=c*c
576+100=c*c
√676=c
c=26inche