Fraction [tex]3 \frac{3}{4}[/tex] teaspoons of cinnamon are needed to make 60 oatmeal cookies.
Given that,
A recipe calls for [tex]1\frac{1}{2}[/tex] teaspoons of cinnamon to make 2 dozen oatmeal cookies.
A fraction is numerical value that is a part of a whole. It is evaluated by dividing a whole into number of parts. For example, ½ represents half of a whole number or a thing.
Then,
We will find number of teaspoons needed to make one oatmeal cookies.
1 dozen = 12
2 dozens = 24
So,
We can write,
[tex]1\frac{1}{2}[/tex] divide by 24,
Convert mixed fraction into improper fraction:
[tex]\frac{3}{2}[/tex] divide by 24
Convert to division problem by flipping the second fraction as:
= [tex]\frac{3}{2}[/tex] * [tex]\frac{24}{1}[/tex]
= [tex]\frac{3}{48}[/tex]
= [tex]\frac{1}{16}[/tex]
Now, we will multiply amount needed for one cookie by 60 to find amount needed to make 60 cookies as:
= [tex]\frac{1}{16}[/tex] * 60
= [tex]\frac{15*4}{4*4}[/tex]
= [tex]\frac{15}{4}[/tex]
= [tex]3 \frac{3}{4}[/tex]
Therefore,
Fraction [tex]3 \frac{3}{4}[/tex] teaspoons of cinnamon are needed to make 60 oatmeal cookies.
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An aquarium holds 11.04 cubic feet of water, and is 2.3 feet long and 1.2 feet wide. What is its depth? Round your answer to the nearest whole number. The depth is feet.
Answer:
Depth is 4 feet.
Step-by-step explanation:
Given:
Length of an aquarium is 2.3 feet
Width of an aquarium is 1.2 feet
Volume of an an aquarium is 11.04 cubic feet
To find: depth of an aquarium is 2.3 feet
Solution:
If [tex]l,b,h[/tex] denote length, width and height of a cuboid then volume (V) of a cuboid is equal to [tex]lbh[/tex]
[tex]l=2.3[/tex] feet
[tex]b=1.2[/tex] feet
[tex]V=11.04[/tex] cubic feet
[tex]11.04=2.3(1.2)h\\h=\frac{11.04}{2.3(1.2)}\\h=\frac{11.04}{2.76}[/tex]
[tex]h=4[/tex] feet
Therefore,
depth is 4 feet.
Please help with this math equation
Answer: 1725 ft^2
Step-by-step explanation:
Rectangle part is 30*50 or l*w = 1500
Triangle is 15*30/2=225
Add the two to get area
1500+225=1725
An arithmetic sequence has a first term of 0 and the 9th term of 12. If 27 is an output of the sequence, which term number is it? Show all steps of calculations and explain in a sentence at the end how you know you have the correct term number.
Giving 100 points to first correct answer
Answer:
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1) d\\n=9\\12=0+(9-1)d\\8d=12\\d=\frac{12}{8}=\frac{3}{2}\\again\\27=0+(n-1)*\frac{3}{2}\\n-1=27*\frac{2}{3}=18\\n=18+1=19[/tex]
Henry cut a 58 inch plank of wood into two pieces. The longer piece is 20 inches longer than the
shorter piece. What are the lengths of both pieces?
Reggie deposited $1200 into an account that earns 5% compound interest yearly if he does not deposit any more to the account or take any money out of the account how much interest will Reggie earn on his investment at the end of four years round your answer to the nearest whole number
Answer:
$1,440
Step-by-step explanation:
1,200 / 10 = 120. 120 is 10%. So this means that 5% is $60. 60 x 4 = 240.
1,200 + 240 = 1,440
Find the equation of the graphed line.
Answer:
d. y = -⁷/6x - 7
Step-by-step explanation:
✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):
Slope (m) = change in y/change in x
Slope (m) = (-7 - 0)/(0 - (-6))
Slope (m) = -7/6
✔️Determine the y-intercept (b):
The line intercepts the y-axis at -7. Therefore,
b = -7.
✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b
Thus:
y = -⁷/6x + (-7)
y = -⁷/6x - 7
Which is the graph of linear inequality 6x + 2y > –10? NO PICTURES PLZZ
Answer:
y>-5-3x
Step-by-step explanation:
Evaluate 3 (43+ 2) - 6 + 12 ➗ 4 x 2
Answer:
Hi! The answer to your question is Exact form: [tex]\frac{141}{8}[/tex], Decimal form: 17.625, Mixed number form: 17 5/8
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
find the slope of each line
helppp!!
Answer:
-3/4
Step-by-step explanation:
The slope is -3/4
The line goes down three and four left.
What is the measure of each angle?? NEED HELP ASAP
Answer:
The base angles are 64. The top angle is 52
Step-by-step explanation:
Since this is an icoseles triangle, the base angles are equal so:
8x - 16 = 6x + 4
8x - 6x = 4 + 16
2x = 20
x = 10
8x - 16
8(10) - 16
80 - 16
64
The top angle (x)
x + 64 + 64 = 180
x + 128 = 180
x = 52
should I be worried about my upcoming exams?
Answer:
i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good
Step-by-step explanation:
brainlyest please I'm trying to get my thing up
How many bases are there in the triangular pyramid shown below?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
In a pyramid, there is only one base that touches the ground.
However, in a prism, there are two bases, two of the same ends.
The front of the name of the shape also hints:
If it's an octagonal prism, there are two octagon bases.
If it's a hexagonal pyramid, there is one hexagon base.
Please help!! I completely forgot how to do this and please show your work
Answer:
12c-30
Step-by-step explanation:
6(2c-5)
12c-30
..........
Answer:
6(2c-5)
multiple the 6 on both numbers
12c-30
What is the value of y?
Answer:
3y+3+y+2y=
3y+y+2y+3=
4y+2y=6y/3=
3y
Step-by-step explanation:
Find x, to the nearest hundredth.
Answer:
Step-by-step explanation:
cos 44° = [tex]\frac{x}{14}[/tex]
x = 14 × cos 44°
x ≈ 10.07 units
Dora wants to paint the walls, ceiling and floor of her playhouse. The dimensions of the playhouse are 3 m long by 4 m wide by 5 m high. What is the total area that she must paint?
Answer:
Dora has to paint a total ol 60m
Step-by-step explanation:
4x5x3
4x5= 20
20x3=60
What is the scale factor and x value?
What is the order of these numbers from least to greatest?
4.03 4.3 4.003
5. Determine the horizontal distance when the vertical distance is 2m. You must
solve algebraically, not just use your graph to predict.
Really need help with this. Thanks. :)
Answer:
5
Step-by-step explanation:
what is the awnser to 848 ÷ 6 =
Answer:
I think 141 is the answer
GIVING BRAINLIEST!!!!!!!!
1/2 x(6X4)+3+2
SHOW UR WORK PLS
Answer: 1/2 times 6x equals 3x and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.
Step-by-step explanation:
Find the constant proportionality (r) using the value for r, enter an equation in the form of. C=rg that represents the relationship between the number of the gallons of gasoline used (g) and the total cost(c)
Answer:
3.333
C = 3.3333g
Step-by-step explanation:
Given the relation : C = rg
C = Total cost of gasoline
g = Number of gallons of gasoline used
r = constant of proportionality
Picking any point on the graph :
At cost, c = $30
Number of gallons of gasoline used, g = 9
Putting the values into our equation :
C = rg
$30 = r * 9
30 = 9r
Divide both sides by 9
30/9 = 9r / 9
3.333 = r
Hence, constant of proportionality, r = 3.333
The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based
on the information, which statement is a valid conclusion about Trapezoid ABCD?
-The parallel bases are congruent.
-The non-parallel sides are perpendicular,
-The non-parallel sides are not congruent.
-One base and one non-parallel side are perpendicular.
Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft
Answer:
250 ft
Step-by-step explanation:
circumference of a circle = πD
D = diameter
to find diameter divide by pi
d = 250
For every 3 packages that Marcella wraps, she uses 12 of a roll of wrapping paper. If she uses 212 rolls of wrapping paper, how many packages has she wrapped?
Answer:
She wrapped 27 packages also can i have brain or heart
This is due in 2 minutes
Please help me!!!!!!
Answer:
13.5 ft²
Step-by-step explanation:
This is also a trapezoid so we can do this formula:
[tex]A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5[/tex]
what are the ordered pairs of the solutions for this system of equations? f(x)=x2-2x+3; f(x)=-2x+28
Answer: (5,18); (-5,38)
Step-by-step explanation:
x^2-2x+3=-2x+28
x^2-25=0
(x-5)(x+5)= 0
-2(5)+28= 18
-2(-5)+28=38
(5,18)(-5,38)
Determine the measure of angle b.
Answer:
37
Step-by-step explanation:
Because 180 is a straight line.
Subtract 143 from 180 amd get 37.
Hope this helps ^-^
Slope- intercept equation from a graph
Find the equation of the line
We can find the slope using any two points on the line. Readily identifiable are the points (2, 0) and (0, 3), from which we can find the slope:
[tex]\text{slope} = m=\frac{y_2-y_1}{x_2-x_1} \\ m = \frac{3-0}{0-2} = -\frac{3}{2}.[/tex]
The y-intercept is the y value when x = 0, which we already know is 3. So, the slope-intercept equation of this line is:
[tex]y=-\frac{3}{2}x+3.[/tex]