Answer:
Megan is not correct
Step-by-step explanation:
Since it takes 20 minutes to cook per kg, a total of 5.4kg will take 20 * 5.4 minutes to cook = 108 minutes to cook
Now, to cook for another 90 minutes. Time now is thus 90 + 108 = 198 minutes
Again, she is to leave for 30 minutes
So therefore, total time spent in cooking the chicken = 198 minutes + 30 minutes = 228 minutes
So the difference in time between 2:30 pm and 6pm is 3 hrs : 30 minutes
There are 60 minutes in an hour , so total amount of minutes is 3(60) + 30 = 180 + 30 = 210 minutes
What we calculated in minutes is more than what Megan says the cooking will take. So Megan isn’t correct
Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.
Answer:
did u ever get hte answers for this ?
what is equation is equivalent to 6(3p-2)=20?
Answer:
[tex]p=\frac{16}{9}[/tex]
Step-by-step explanation:
[tex]6(3p-2)=20[/tex]
Distribute the brackets.
[tex]6(3p)+6(-2)=20[/tex]
[tex]18p-12=20[/tex]
Add [tex]12[/tex] on both sides.
[tex]18p-12+12=20+12[/tex]
[tex]18p=20+12[/tex]
[tex]18p=32[/tex]
Divide [tex]18[/tex] on both sides.
[tex]\frac{18p}{18}=\frac{32}{18}[/tex]
[tex]p=\frac{16}{9}[/tex]
Answer:
[tex]p = \frac{16}{9} \\ [/tex]
Step-by-step explanation:
[tex]6(3p - 2) = 20 \\ 18p - 12 = 20 \\ 18p = 32 \\ \frac{18p}{18} = \frac{32}{18} \\ p = \frac{16}{9} [/tex]
what unit is best to measure the length of a garden hose
Answer:
feet/inches
Step-by-step explanation:
most gardening hoses are like 20 feet and 8 inches or whatever. So the best unit would be feet/inches
feet/inches is the best measure the length of a garden hose
What is unit?A unit is any standard used for making comparisons in measurements. Unit conversions allow for measurements of a property that have been recorded using different units—for instance, centimeters to inches.
Most gardening hoses are like 20 feet and 8 inches or whatever. So the best unit would be feet/inches
Hence, feet/inches is the best measure the length of a garden hose.
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PLEASE HELP I NEED TO PASS THIS CLASSS!!!!!!!!!!
Consider these two triangles. Triangle A'B'C' is the
dilated figure with a scale factor of 3.
What can be concluded about the two triangles? Check
all that apply
The triangles are similar.
The corresponding sides are proportional.
The length of A'B' is 15.
The length of B'C' is 9.
The dilation is a reduction.
Answer:
1, 2, 4
Step-by-step explanation:
The triangles are similar by AAA or SSS (yes)
The sides are proportional (yes)
The length of AB is 21, not 15 (no)
The length of BC is 9 (yes)
The dilation is an enlargement, not reduction (no)
Answer:
1, 2, and 4
Step-by-step explanation:
I got it right on edge. good luck.
can someone please help me!
Answer:
84
Step-by-step explanation:
k(x+6)= 4x²+20
k(10)= k(4+6)= 4*4²+20= 64+20= 84
A full glass of water can hold 1/6 of a bottle.
How many glasses of water can be filled with 3 1/2 bottles of water.
Answer:
21 glasses of water.
Step-by-step explanation:
You can do a proportion.
[tex]\fraction{1 glass}{1/6 of a bottle)[/tex] or
1 glass/1/6 of a bottle.
x glasses/3.5 bottles.
You can cross multiply.
1/6 times x is 1/6x
1 times 3.5 is 3.5/
1/6x=3.5.
do the reciprocal of 1/6 which is 6.
So, 6 times 3.5 is 21.
Therefore, you have 21 glasses of water.
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag
Answer:
342/6 = 57
Step-by-step explanation:
Just basic division
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
FG = 28
Step-by-step explanation:
You are given the ratio 1:2. That means that the photocopied monorail is twice as big as the original. All you need to do is multiply 14 by 2 to get your answer.
Answer:
FG=28
Step-by-step explanation:
cuz the ratio is 1:2 so 14*2=28
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
what i know for sure is 10/19 is rational
Answer:
=> All of the options are correct.
Step-by-step explanation:
a rational number is a number that can be shown as the quotient of two integers a and b(the denominator b must not be equal to zero).
10/19 => a = 10, b = 19 (correct)
85/74 => a = 85, b = 74 (correct)
-48 => a = -48, b = 1 (correct)
-57 =>a = -57, b = 1 (correct)
=> All of the options are correct.
Hope this helps!
PLEASE HELP! The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company. What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication? A. 67.19 B. 48.84 C. 20.48 D. 44.79
Answer:
D. 44.79
Step-by-step explanation:
[tex]\frac{43}{96}[/tex] who worked 8 or more years said that e-mail was their favorite communication method.
[tex]\frac{43}{96}[/tex] ≈ [tex]\frac{44.79}{100}[/tex]
So around 44.79% who have worked 8 years or more said that email were their preferred communication method. Our answer is D. 44.79.
Answer:
44.79%
Step-by-step explanation:
What is mZD
Enter your answer in the box. I need help with test :\ ..
Answer:
m∠D = 32°
Step-by-step explanation:
From the figure attached,
In ΔABE,
By the property of a triangle,
m∠AEB + m∠ABE + m∠AEB = 180°
14° + 45° + m∠AEB = 180°
m∠AEB = 180° - 59°
m∠AEB = 121°
Since, m∠AEB = m∠CED = 121° [Vertical angles]
Similarly, in triangle CDE,
m∠ECD + m∠CED + m∠EDC = 180°
27 + 121 + m∠CDE = 180
m∠CDE = 180 - 148
m∠D = 32°
Can you Help me out plz!!
Answer:
14)
21√2
15)
Leg: 7√3
Hypotenuse: 14
Step-by-step explanation:
The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.
The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.
If F(a, b, c, d) = a^b + c \times d, what is the value of x such that F(2, x, 4, 11) = 300?
Answer:
x = 8
Step-by-step explanation:
A graphing calculator can show you the answer easily. It works well to define a function whose x-intercept is the solution. We can do that by subtracting 300 from the given equation so we have ...
F(2, x, 4, 11) -300 = 0
The solution is x = 8.
__
We can solve this algebraically:
F(2, x, 4, 11) -300 = 0
2^x +4·11 -300 = 0 . . . . use the function definition
2^x -256 = 0 . . . . . . simplify
2^x = 2^8 . . . . . add 256
x = 8 . . . . . . . . . match exponents of the same base
What is the value of x ?
A.285˚
B.105˚
C.75˚
D.15˚
Answer:
D
Step-by-step explanation:
The angle between the vertical and horizontal line is 90°, thus
75° + x = 90° ( subtract 75 from both sides )
x = 15° → D
The cost of levelling a park at the rate of 2rs per km2 is rs 2700. If the park is in right angled triangular form with one side being 45km ,find hypotenuse
Answer:
75 is the required answer.
Step-by-step explanation:
Length of missing side = S
(45xS)/2 = 1350
S = 60
Hypotenuse = √(45^2 + 60^2) = 75
Best Regards!
The price of a bracelet is $1.29. If the tax rate is 5%, find the total cost of
the bracelet
Answer: $1.35
Step-by-step explanation:
1.29 * 5% = 1.29 * 0.05 = 0.0645
0.0645 rounds down to 0.06
1.29 + 0.06 = 1.35
What is the domain of the exponential function f(x) = 3 ^ x - 5
Answer:
(-infinity, infinity)
Step-by-step explanation:
The domain of the exponential function f(x) = 3 ^ x - 5 is (-infinity, infinity)
What is the exponential function?An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
What is the exponential function formula?Exponential Function Formula
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
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According to Maria, it takes 240 cherries to make 3 perfect cherry pies. How many cherries would it take to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
Cherries Cherie pie
240 = 3
X = 9
The known number of cherries will be given as x then u cross multiply
3×X=240×9
3X=2,160
Divide both sides by 3
3/3X=2,160/3
X=2,160/3
X=720
This implies that the number of cherries needed to make 9 cherry pie is 720
I hope this help
What is the answer ?
Answer:
a rational number
Step-by-step explanation:
a rational number + a rational number will always be a rational number.
Field book of an land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)
Answer:
Total area = 237.09 cm²
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Field book of an agricultural land is given in the figure. It is divided into 4 plots. Plot I is a right triangle, plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)
From the figure attached,
Area of the right triangle I = [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]
Area of ΔADC = [tex]\frac{1}{2}(\text{CD})(\text{AD})[/tex]
= [tex]\frac{1}{2}(\sqrt{(AC)^2-(AD)^2})(\text{AD})[/tex]
= [tex]\frac{1}{2}(\sqrt{(13)^2-(19-7)^2} )(19-7)[/tex]
= [tex]\frac{1}{2}(\sqrt{169-144})(12)[/tex]
= [tex]\frac{1}{2}(5)(12)[/tex]
= 30 cm²
Area of equilateral triangle II = [tex]\frac{\sqrt{3} }{4}(\text{Side})^2[/tex]
Area of equilateral triangle II = [tex]\frac{\sqrt{3}}{4}(13)^2[/tex]
= [tex]\frac{(1.73)(169)}{4}[/tex]
= 73.0925
≈ 73.09 cm²
Area of rectangle III = Length × width
= CF × CD
= 7 × 5
= 35 cm²
Area of trapezium EFGH = [tex]\frac{1}{2}(\text{EF}+\text{GH})(\text{FJ})[/tex]
Since, GH = GJ + JK + KH
17 = [tex]\sqrt{9^{2}-x^{2}}+5+\sqrt{(15)^2-x^{2}}[/tex]
12 = [tex]\sqrt{81-x^2}+\sqrt{225-x^2}[/tex]
144 = (81 - x²) + (225 - x²) + 2[tex]\sqrt{(81-x^2)(225-x^2)}[/tex]
144 - 306 = -2x² + [tex]2\sqrt{(81-x^2)(225-x^2)}[/tex]
-81 = -x² + [tex]\sqrt{(81-x^2)(225-x^2)}[/tex]
(x² - 81)² = (81 - x²)(225 - x²)
x⁴ + 6561 - 162x² = 18225 - 306x² + x⁴
144x² - 11664 = 0
x² = 81
x = 9 cm
Now area of plot IV = [tex]\frac{1}{2}(5+17)(9)[/tex]
= 99 cm²
Total Area of the land = 30 + 73.09 + 35 + 99
= 237.09 cm²
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
Find the size of angle BAC Give your answer to 3 significant figures
Answer:
angle BAC = 50.5°
Step-by-step explanation:
To find the size of angle BAC, we will follow the steps below;
First, we will use Pythagoras theorem to find side AC
from the diagram, AB = 14 cm BC = 17 cm
Using Pythagoras theorem,
AC² = AB² + BC²
= 14² + 17²
=196 +289
=485
AC² = 485
Take the square root of both-side
AC = √485
AC = 22 .023
AC = 22.023 cm
angle <B = 90°
Using the sine rule,
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex]
A = ?
a=BC = 17 cm
B = 90°
b = AC = 22.023 cm
we can now [proceed to insert the values into the formula and then solve for A
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex]
[tex]\frac{sin A}{17}[/tex] = [tex]\frac{sin 90}{22.023}[/tex]
cross - multiply
22.023× sinA = 17× sin90
Divide both-side of the equation by 22.023
sin A = 17 sin90 / 22.023
sin A = 0.771920
Take the sin⁻¹ of both-side of the equation
sin⁻¹sin A = sin⁻¹0.771920
A = sin⁻¹0.771920
A≈ 50.5°
Therefore, angle BAC = 50.5°
Y+6=26+y Solve For X
Answer:
There are no solutions.
Step-by-step explanation:
1y+6=26+1y
Add -1y and -6 on both sides.
1y-1y=26-6
Factor out y.
y(1-1)=20
y(0)=20
0=20
There are no solutions for y.
find the length of side AB Give your answer to 1 decimal place
Answer:
First to find AB we use cosine
cos ∅ = Adjacent / hypotenuse
AB is the adjacent
BC is the hypotenuse
cos ∅ = AB/AC
cos 70 = AB / 8
AB = 8 cos 70°
AB = 2.736
AB = 2.7cm to one decimal place
Hope this helps
A vendor is using an 8 ft by 8 ft tent for a craft fair the legs of the tent are 9ft tall and the top forms a square pyramid with a height of 3 ft. What is the volume in cubic feet of space the tent occupies
Answer: 640
Step-by-step explanation:
8 x 8 x 9 + 1/3 (8 x 8 x 3)
= 640 in cubic ft
The volume in cubic feet of space the tent occupies will be 640 cubic feet.
Cuboid and Square pyramidCuboid is a solid which has six rectangular faces at right angles to each other.A square pyramid is a pyramid, in geometry, that has a square base and four lateral facesHow to solve this problem?
The steps are as follow:
Here there are two shapes are formed which are cuboid and square pyramidThe measures of Cuboid as follow:Length = 8 ft.
Width = 8 ft.
height = 9 ft.
The measures of pyramid is as follow:Length = width = 8 ft.
height = 3 ft.
Th volume of cuboid is as follow:volume of cuboid = length x width x height
volume of cuboid = 8 x 8 x 9
volume of cuboid = 576 cubic ft
The volume of square pyramid is as follow:volume of square pyramid = (length x length x height) / 3
volume of square pyramid = (8 x 8 x 3) / 3
volume of square pyramid = 64 cubic ft.
The total volume of space that tent occupies will be as follow:volume of cuboid + volume of square pyramid = 576 + 64
Total volume of space = 640 cubic feet
So the volume in cubic feet of space the tent occupies will be 640 cubic feet
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Please help thank you
Answer: D (4,1)
Step-by-step explanation:
2x + 3(x-3) = 11
2x + 3x - 9 = 11
5x = 11 + 9
x = 20/5 = 4
y = x-3
= 4-3 = 1
Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply.
(StartFraction negative 4 x over 1 EndFraction + three-fourths = 12
Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12
StartFraction negative x + 3 over 4 EndFraction = 12
One-fourth (x + 3) = 12
(StartFraction negative x over 4 EndFraction + three-fourths = 12
Answer:
Step-by-step explanation:
Negative one-fourth (x) + three-fourths = 12
-1/4(x)+3/4=12
-x/4 + 3/4 =12
-x+3/4=12
1. Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12
-1(x/4)+3/4=12
-x/4+3/4=12
2. (StartFraction negative x over 4 EndFraction + three-fourths = 12
-x/4+3/4=12
3. StartFraction
negative x + 3 over 4 EndFraction = 12
-x+3/4=12
Answer:
B, C, & E
Step-by-step explanation:
-1(x/4) + 3/4
-x + 3 /4 = 12
(-x/4) +3/4 = 12
Hope this helps ^^
What is the solution to this graphed system of linear equations?
a. (0,0)
b. (4,-1)
c. (-1, 4)
d. no solution
Answer: The answer is B. (4,-1)
Step-by-step explanation: This is the correct answer because this is where the two lines intersect. You can also find this algebraically by finding the equation of each line. You then solve them as a system, cancelling one variable at a time.
Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received.
Answer: The expression is (c-7) / 3
Step-by-step explanation:
Let's say Adam has c pieces of candy
He took seven pieces for himself which means we can write this as c-7
He then divided this amount between his 3 children (c-7)/3
Please answer this correctly
Answer: 0 and 12
Step-by-step explanation:
Fractions and mixed numbers aren’t rational numbers and pi isn’t a rational number.
Whole numbers are rational numbers, though so 0 and 12 are your answers.
Answer:
0 and 12
Step-by-step explanation:
you cant have mixed numbers and pie is never ending
