Answer:
According to the distributive property of multiplication,
a . (b + c ) = (a . b) + (a . c)
Given: 7 × 6
which can be rewritten as: a) 7 . (4 + 2), b) 7 . (3 + 3), c) 7 . (1 + 5)
Rewriting the given expression using the distributive property of multiplication:
a) 7 . (4 + 2) = (7 . 4) + (7 . 2)
7 . (6) = 28 + 14
42 = 42
b) 7 . (3 + 3) = (7 . 3) + (7 . 3)
7 . (6) = 21 + 21
42 = 42
c) 7 . (1 + 5) = (7 . 1) + (7 . 5)
7 . (6) = 7 + 35
42 = 42
As the left hand side is equal to the right hand side in each case, therefore, it proves the distributive property.
Brenda has a balance of d dollars in her piggy bank. Explain what value(s) d may have if d = 28
one of the models of a dinosaur used in filming of a movie was only 15in tall. In the movie, the dinosaur appeared to have an actual height of 20ft. What is the Scale of the model?
in the diagram below,point O is the center of the given circle.
Love them or hate them, they do be spitting straight facts
Darius and Matthew have three fruit bars. They are both hungry after playing football and decide to split the fruit bars evenly.
What is 100x100 I need help :(
The solution is, the value is 100 x 100 =10000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
100 x 100
i.e. we have to multiply 100 with 100
so, we get,
100 x 100
=10000
Hence, The solution is, the value is 100 x 100 =10000
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HELP I WILL GIVE BRAINLIEST!
what value of x makes the equation true? 9x - 15 - 2x = -60 + 9x
Julian is mixing drops of food coloring to create green frosting for a cake. He uses 18 drops of yellow dye and 12 drops of blue dye. Find the ratio of drops of blue dye to total drops of dye. Express as a simplified ratio.
Answer:
The ratio would be 2:5
Explanation:
The ratio of drops of blue dye to total drops of dye is got by dividing drops of blue dye (12) by total drops, which is the sum of blue and yellow drops (12+18):
[tex]\displaystyle\frac{12}{12+18}=\frac{12}{30}[/tex]
Once we simplify the fraction by dividing both top and bottom by 6, we would get:
[tex]\displaystyle\frac{2}{5}[/tex]
Therefore, the ratio of drops of blue dye to total drops of dye is: 2:5
The simplified ratio of blue dye to total dye used by Julian is 2:5. This means that for every 2 drops of blue dye, there are 5 total drops of dye.
Explanation:The question is asking for the ratio of blue dye to the total amount of dye. Julian used 12 drops of blue dye and 18 drops of yellow dye, making the total number of dye drops 30 (12 blue + 18 yellow). Therefore, the ratio of blue dye to total dye is 12 to 30. However, this ratio can be simplified by dividing each figure by their greatest common divisor (gcd) which is 6. So, the simplified ratio is 2:5.
This means for every 2 drops of blue dye, there are 5 total drops of dye. It's a useful way of comparing quantities in mathematics or in everyday life circumstances like this one, where Julian is mixing dyes.
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The planet Mercury has a diameter of 4,878 km whereas the Moon has a radius of 1736.5 km. Which object is larger and why?
The planet Mercury is larger than the Moon, because the radius of Mercury is greater than the Moon.
Here,
Given that;
The planet Mercury has a diameter of 4,878 km.
And, The Moon has a radius of 1736.5 km.
We have to find the larger planet.
What is the relation between radius and diameter?
The radius is half or the diameter of the object.
Now,
The planet Mercury has a diameter of 4,878 km.
Hence, The radius of Mercury = 4,878/2 = 2,439 km
And, The radius of the Moon = 1736.5 km
Clearly, 2,439 > 1,736.5
So, The planet Mercury is larger than the Moon, because the radius of Mercury is greater than the Moon.
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Trey has answered 15 E-mails.This is 20% of E-mails he must answer.How many E-mails does he need to answer?
Identify the binomial A. x2 −4x + 2 B. x2 C. x2 − 4 D. 2x2 + 3x −1 + y
In model trains, O scale means the models are made using a 1:48 scale. In the U.S., real train tracks have rails that are 4 ft 8 in apart.
a. If miniature train track was made using O scale, how far apart should the rails be? Round to the nearest hundredth of an inch.
b. The word gauge refers to how far apart the model rails are. For some reason, O gauge track does not exactly use O scale, and O gauge rails are 1.25 inches apart. Find the relative difference of the rail spacing on O gauge track compared to what it should be if it followed O scale. Round to the nearest tenth of a percent.
Final answer:
The correct O scale model train track spacing should be 1.17 inches. However, the actual O gauge spacing is 1.25 inches. The relative difference in the rail spacing is approximately 6.8%.
Explanation:
To solve for the correct O scale model train track spacing:
Convert the real train track gauge to inches: 4 feet x 12 inches/foot + 8 inches = 56 inches.
Divide the real gauge by the scale factor of 48 to find the model gauge: 56 inches / 48 = 1.1667 inches.
Round the result to the nearest hundredth of an inch: 1.17 inches.
Now to calculate the relative difference between O scale and the actual O gauge:
Determine the actual O gauge spacing: 1.25 inches.
Calculate the difference in spacing: 1.25 inches - 1.17 inches = 0.08 inches.
Find the relative difference by dividing the spacing difference by the O scale spacing and then multiply by 100 to get the percentage: (0.08 inches / 1.17 inches) x 100 = 6.8%.
Round the result to the nearest tenth of a percent: 6.8%.
What number is the solution to n over 3 is negative 12
A -36
B -4
C 4
D 36
you have n/3 = -12
to solve for n, multiply both sides by 3
n = -12 * 3 = -36
answer is A. -36
What is the sum and classification of 3/20 + sqrt of 10
A. 3.31227766..., irrational
B. 3.31227766..., rational
C.18.16227766..., irrational
D.18.16227766..., rational
Answer:
a
Step-by-step explanation:
Answer:
A. 3.31227766..., irrational
Step-by-step explanation:
We have been given two numbers. We are asked to find sum of given numbers and classify the type of number after addition.
[tex]\frac{3}{20}+\sqrt{10}[/tex]
[tex]0.15+3.1622776601683793[/tex]
[tex]3.3122776601683793[/tex]
We can see that [tex]\frac{3}{20}[/tex] is a rational number, while [tex]\sqrt{10}[/tex] is an irrational number as its digits are repeating infinitely after decimal.
We know that sum of a rational and irrational number is irrational, therefore the sum of given numbers is irrational and option A is the correct choice.
P: grass is green or Q: 3 is the square root of 10 (P ∨ Q)
Answer:
TFT
Step-by-step explanation:
Earth's radius is about 261.4% of Mercury's radius.(2,440 km.)
what is the radius of Earth?
Earth's radius is approximately 6,378.96 km.
Explanation:To find the radius of Earth, we can use the information given in the question. We know that Earth's radius is approximately 261.4% of Mercury's radius, which is given as 2,440 km.
Let's set up an equation to solve for Earth's radius. Let x represent Earth's radius:
x = 261.4% * 2,440 km
Converting 261.4% to decimal form, we get 2.614. Multiplying this by 2,440 km, we find that Earth's radius is approximately 6,378.96 km.
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3/4x+5/6=5x-125/3 solve for x
Final answer:
To solve the equation 3/4x + 5/6 = 5x - 125/3 for x, you can start by getting rid of the fractions. Multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 12. Combine like terms and solve for x.
Explanation:
To solve the equation 3/4x + 5/6 = 5x - 125/3 for x, you can start by getting rid of the fractions. To do this, multiply every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 12. This gives you:
9x + 10 = 60x - 500
Next, combine like terms by subtracting 9x from both sides of the equation:
10 = 51x - 500
Then, add 500 to both sides of the equation:
510 = 51x
Finally, divide both sides of the equation by 51 to solve for x:
x = 10
F(x)=5(3-x)^2 what is f(-4)
Dale cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Help for C if anyone knows, thanks
Write the percent as a fraction is lowest terms 65 1/2%
Use this equation to find dy/dx. 4y cos(x) = x2 + y2
What is the value of ▲ in the equation shown?
8 x 4 = ( ▲ x 7) - (▲ x 3)
= _____
Answer:
8
Step-by-step explanation:
Samuel filled the glasses shown below completely with water. The total amount of water that Samuel poured into the glasses is 60 cubic centimeters. What is the height of glass 1? Round your answer to the nearest tenth. (Use π = 3.14.) Note that all measurements are in centimeters and images are not drawn to scale.
The possible answers are 0.2, 1.7, 3.9 or 5.6. When googled the answer always comes up 3.9. I always get 1.6527 which rounds up to 1.7. How about you?
volume of glass 2 = pi*r^2*h/3= 3.14 *2.5^2*6/3 = 39.25 cubic cm
60-39.25 = 20.75 cu cm was in 1st cup
volume of cylinder = pi *r^2 *h
20.75 = 3.14 *2^2 *h
20.75 = 3.14*4*h
20.75 = 12.56*h
h = 20.75 /12.56 = 1.652 round to 1.7
Answer:
The height of glass 1 is 1.7 cm.
Step-by-step explanation:
We are given the following information in the question:
The total amount of water that Samuel poured into the glasses is 60 cubic centimeters.
Volume of glass 2 = Volume of cone =
[tex]\displaystyle\frac{1}{3}\pi r^2h\\\\\text{Putting value of r and h}\\\\= \frac{1}{3}\times 3.14\times \frac{5}{2}\times \frac{5}{2}\times 6 = 39.25\text{ cubic cm}[/tex]
Volume of glass 1 =
[tex]\text{ Total Volume } - \text{Volume of glass 2}\\= 60 - 39.25\\= 20.75\text{ cubic cm}[/tex]
Volume of glass 1 = Volume of cylinder =
[tex]20.75 = \pi r^2h\\\text{where r is the radius of cylinder and h is the height of cylinder}\\\\\text{Putting the values of r}\\\\ 20.75 = 3.14\times \displaystyle\frac{4}{2}\times \frac{4}{2}\times h\\\\h = \frac{20.75}{3.14\times 2\times 2} 1.656 \approx 1.7[/tex]
Thus, the height of glass 1 is 1.7 cm.
Towing charge 30$ plus $3 per mile if I paid $117 how far was the car towed
In the accompanying diagram angle 1 and angle 2 are supplementary what is m angle 3
What is the value of x?
Enter your answer in the box.
x =
3x + 50 = 6x -10
add 10 to each side
3x +60 = 6x
subtract 3x from each side
60 = 3x
x = 60/3 = 20
x = 20
Simplify three to the negative ninth divided by three to the negative twelfth.
Answer:
3^3
Step-by-step explanation:
Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3)
In how many ways can you receive four cards of the same face value and one card from the other 48 available cards?
What is 25.4067 to the nearest hundredth