Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
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Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is $75$75 grams. Each penny has a mass of $2.5$2.5 grams, each nickel has a mass of $5$5 grams and each quarter has a mass of $5.7$5.7 grams.
Create an equation to model this situation, where $x$x is the number of pennies, $y$y is the number of nickels and $z$z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly $75$75 grams.
A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?
Answer:
x=1
Step-by-step explanation:
I’ll mark brainliest if correct :)
Answer:
x = -2
y = 9
Step-by-step explanation:
y = -3x + 3
y = 5x + 19
We can put one y as another:
-3x + 3 = 5x + 19
-8x = 16
x = -2
And now let's check using x = -2
y = (-3 * -2) + 3
y = (5 * -2) + 19
y = 6 + 3
y = -10 + 19
y = 9
y = 9
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
81/x - 3 = 6 2x - 3 = 15Answer:
it's only the last two
Step-by-step explanation:
3x + 2 = 25
3x + 2 - 2 = 3x
25 - 2 = 23
3x = 23
3x / 3 = x
23 / 3 = 7 2/3
x = 7 2/3 not this one
x/3 + 7 = 8
x/3 + 7 - 7 = x/3
8 - 7 = 1
x/3 = 1
x/3 * 3 = x
1 * 3 = 3
x = 3 not this one
4 + 5x = 18
4 + 5x - 4 = 5x
18 - 4 = 14
5x = 14
5x / 5 = x
14 / 5 = 2 4/5 not this one
24 - 2x = 13
24 - 2x - 24 = -2x
13 - 24 = -11
-2x = -11
-2x / -2 = x
-11 / -2 = 5 1/2 not this one
81/x - 3 = 6
81x - 3 + 3 = 81/x
6 + 3 = 9
81/x = 9
81/x * x = 81
9 * x = 9x
81 = 9x
81 / 9 = 9
9x / 9 = x
9 = x this one
2x - 3 = 15
2x - 3 + 3 = 2x
15 + 3 = 18
2x = 18
2x / 2 = x
18 / 2 = 9
x = 9 this one
SOMEONE PLEASE HELP ME OUT BRO PLEASE Find the value of each variable. For each circle, the dot represents the center. DUED BY 11
Answer:
hi here it is
Step-by-step explanation:
the area is squared
the value of n. 3n = (3^2)8
Answer:
Step-by-step explanation:
3n = 3² × 8 3² = 3 × 3
n × 3 = 3 × 3 × 8 notice a times 3 on both sides of the equation
divide both sides by 3
n = 3 × 8
n = 24 <---------------- FINAL ANSWER
What is the degree measure of z
A.29
B.39
C.68
D.41
Answer:
[tex]\Huge\boxed{C.68}[/tex]
Step-by-step explanation:
Hello There!
The exterior angle of a triangle rule is that the exterior angle is equal to the sum of the interior opposite angles
So essentially what I'm saying is that
z = 29 + 39
29+39=68 therefore the measure of angle z is 68
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.
Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct _____ because it _____.
a. an effect size estimate; tells the researcher the number of participants needed for trustworthy results
b. alpha testing; determines how meaningful the study results will be
c. a statistical significance; determines how meaningful the study results will be
d. a power analysis; tells the researcher the number of participants needed for trustworthy results
Answer:
d. a power analysis; tells the researcher the number of participants needed for trustworthy results.
Step-by-step explanation:
A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.
A hypothesis is considered to be tentative or an educated guess and can be defined as a testable explanation for an observation or a scientific problem. An example of a hypothesis is saying, Corona virus is caused by the introduction of the "5G" technology.
This ultimately implies that, for any hypothesis to be acceptable in science, it must be supported by observations and the results of control experiments; this give rise to factual informations, theories and by extension solutions to problems.
Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct a power analysis because it tells the researcher the number of participants needed for trustworthy results.
A power analysis should always be conducted before the collection of data because it will help you as a researcher to determine the smallest sample size that's accurate enough to detect the effect of a specific test at the desired statistical significance level.
Solve for x in the following diagram. Round your answer to nearest tenth.
Answer:
48.3
Step-by-step explanation:
→ See what side is not given
Opposite
→ Find a triangle with out an O in it
Cos = Adjacent / Hypotenuse
→ Make what you want to find the subject
Hypotenuse = Adjacent / Cos
→ Substitute the numbers into the formula
41 / cos (32) = 48.3
Write the sentence as an equation.
306 is equal to 80 subtracted from q
Answer:306 = 80-q is the answer
5x-5=-3+b+(a-1)x
sat math
Answer:
81
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGMENT WILL MARK BRAINLIEST
Martin is an artist who molds plaster into unique shapes. How much plaster can Martin fit into the mold shown? Cuboid with length as 1 ft, height as 2 ft and width as 1 ft. Is placed above the cuboid with length, height and width as 4 ft. A. 66 ft3 B. 80 ft3 C. 128 ft3 D. 256 ft3
Answer:
[tex]Amount = 66ft^3[/tex]
Step-by-step explanation:
No attachment given, but the question can still be solved.
Given
Cuboid 1
[tex]Length = 1ft[/tex] [tex]Width = 1ft[/tex] [tex]Height = 2ft[/tex]
Cuboid 2
[tex]Length = Width = Height = 4ft[/tex]
Required
How much plaster can fit in
To do this, we simply calculate the volume of the shape
For cuboid 1
[tex]Volume = Length * Width * Height[/tex]
[tex]V_1 = 1 * 1 * 2[/tex]
[tex]V_1 = 2ft^3[/tex]
For cuboid 2
[tex]V_2 = 4 * 4 * 4[/tex]
[tex]V_2 = 64ft^3[/tex]
Amount of plaster is then calculated as:
[tex]Amount = V_1 + V_2[/tex]
[tex]Amount = 2ft^3 + 64ft^3[/tex]
[tex]Amount = 66ft^3[/tex]
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
Given:
The expression is:
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
To find:
The value of the given expression when [tex]x=64[/tex] and [tex]y=27[/tex].
Solution:
We have,
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
Putting [tex]x=64[/tex] and [tex]y=27[/tex], we get
[tex]=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}[/tex]
It can be written as
[tex]=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}[/tex]
[tex]=1+4-2(8)[/tex] [tex][\because a^0=1,a\neq 0][/tex]
[tex]=5-16[/tex]
[tex]=-11[/tex]
Therefore, the value of the given expression [tex]-11[/tex] when [tex]x=64[/tex] and [tex]y=27[/tex].
Compare the two box plots below. Which would have a larger IQR?
Box-and-Whisker Plots ( Read ) | Statistics | CK-12 Foundation
Question 4 options:
A.They have the same IQR
B. Varsity has a larger IQR
C. Junior Varsity has a larger IQR
D. There is not enough information provided
Answer:B. Varsity has a larger IQR
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
Answer:
x(x-4)(x+8)
Step-by-step explanation:
Factor.
x(x^2+4x-32)
x(x-4)(x+8)
ANSWER ASAP PLEASE!!
Chris wrapped a present with the following dimensions: a length of 5 in, a width of 4 in and a height of 6 in. Henry wrapped a present that had a height that was double Chris’ present’s height. How much more wrapping paper will Henry need than Chris? Use the following fomulas as needed: Question 7 options: 108 square inches 148 square inches 256 square inches 404 square inches
Answer:
Hey there, the answer 108 hope this helps!
Step-by-step explanation:
Given STU and DEF , what is m∠E
Answer:
105
Step-by-step explanation:
by sss congruency we conclude that they are similar.
29+46=75
180-75=105
PLEASE HELP The perimeter of an equilateral triangle is 48 cm . Find the height of the triangle to the nearest whole number please
*UNKNOWN LINKS WILL BE REPORTED
Answer:
17.2 cm
Step-by-step explanation: Each side would be 19 cm since a triangle has three sides. Next, we will use pythagorean theory. Since the equation would be a^2 + b^2 = c^2. Since 19^2 is 361 and is getting subtracted by 64 (we get it because at the bottom, we have to split it. also, 8 squared is 64). Then we get 297, which the base root with one number behind the decimal would be 17.2 cm.
When 28 is added to 3 times a number y and the sum is divided by 2, the result is 2 times the number y . What is the value of y?
14
B
25
с
28
D
30
ОО
E
33
Answer:
c
Step-by-step explanation:
I did this test thing
Ms. Mitchell's coin purse has 20 coins. There are 6 pennies,4 quarters,3 dimes, and the remainder are nickels. What is the theoretical probability of randomly selecting a nickel from Ms. Mitchell's coin purse?
He has 834 cups of chocolate chips. Use the guess, check, and revise strategy to solve the equation 114b=834 to find b, the number of batches of muffins he can make if he uses Recipe 2.
Answer:
vas dir que no sóc jo, sóc una mica, però vull que tornem a casa i ens ocupem de tots els altres
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
frist one to do it gets brainist
Answer:
tennis and chess
Step-by-step explanation:
Find TV if TL = 5x + 3 and VL = 5x - 7
Answer:
10
Step-by-step explanation:
TV=TL-VL. TL=5x+3 and VL=5x-7. (5x+3)-(5x-7)=5x+3-5x+7=3+7=10. TV=10.
Answer: 10?
Step-by-step explanation:
A train with a mass of 1570 kg is moving at 3.2 m/s collides with a train at rest with a mass of 1224 kg. They stick together and move as one. What is the velocity of both trains together?
m1V1 + m2V2 = total total
A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .
Solve the following inequality for y.
18x + 6y > 12
Answer:
12
Step-by-step explanation:
Simplifying
18x + -6y = 12
Solving
18x + -6y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
18x + -6y + 6y = 12 + 6y
Combine like terms: -6y + 6y = 0
18x + 0 = 12 + 6y
18x = 12 + 6y
Divide each side by '18'.
x = 0.6666666667 + 0.3333333333y
Simplifying
x = 0.6666666667 + 0.3333333333y
You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?
Answer:quarterly, monthly, daily
Step-by-step explanation:
quarterly: y=7000 (1+.05/4)'10(4) answer y=11,505.34
monthly: y=7000 (1+.05/12)'10(12) answer y=11,529.07
daily: y=7000 (1+.05/365)'10(365) answer y=11,540.65
What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more
The account will be worth approximately $11,505 if compounded quarterly.
The account will also be worth approximately $11,540 if compounded daily.
A. Compounded quarterly:
n = 4 (quarterly compounding)
A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]
A ≈ 7000(1.0125)⁴⁰
A ≈ 7000 x 1.643619463
A ≈ 11505.34
The account will be worth approximately $11,505 if compounded quarterly.
B. Compounded monthly:
n = 12 (monthly compounding)
A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]
A ≈ 7000(1.00416666667)^(120)
A ≈ 7000 x 1.6487212707
A ≈ 11540.05
The account will be worth approximately $11,540 if compounded monthly.
C. Compounded daily:
n = 365 (daily compounding)
A = 7000(1 + 0.05/365)^(365*10)
A ≈ 7000(1.0001369863)^(3650)
A ≈ 7000 * 1.6487212707
A ≈ 11540.05
The account will also be worth approximately $11,540 if compounded daily.
B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.
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