Answer:
Step-by-step explanation:
a( c + b ) = d
Divide both sides by a
That's
Move b to the right side of the equation to make c stand alone
We have the final answer as
Hope this helps you
Answer:
c = - b.
Step-by-step explanation:
a(c + b) = d
(c + b) = d / a
c + b =
c = - b.
Hope this helps!
Answer:
80:280
Step-by-step explanation:
To share £360 in the ratio 2:7, you first find the value of one part by dividing £360 by the total number of ratio parts (9). Then, multiply each part of the ratio by this amount, resulting in £80 and £280.
To share £360 in the ratio 2:7, you first need to understand that the sum of the parts of the ratio (2+7) equals to 9 parts. The amount of £360 should be distributed into these 9 parts.
First, you divide the total amount by the total number of parts:
£360 / 9 = £40.
This result £40 is the value of 1 part. To find the amounts for the ratio 2:7, you multiply each part of the ratio by the value of 1 part:
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b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________
Perform each of the following computations using the measured quantities below.
Write your final answer with the correct number of significant figures in proper scientific notation (one non-zero number to the left of the decimal point).
a. 917.2 + 45.63 = ___________
b. 3.423 x 10^-4 - 6.42 x 10^-3 =_________
(a) 9.6 x 10²
(b) -6.1 x 10⁻³
(a) 917.2 + 45.63
First add the two numbers as follows (ensure that the decimal numbers are well aligned);
9 1 7 . 2
+ 4 5 . 6 3
9 6 2 . 8 3
To write the result in a proper scientific notation (one non-zero number to the left of the decimal point),
i. Express the number is standard form
962.83 = 9.6283 x 10²
Note that;
From the result in (i)
9.6283 = mantissa
10 = base
² = power or exponent.
ii. Express the mantissa of the number in 1 decimal place.
9.6 x 10²
Therefore, the result in the proper scientific notation is 9.6 x 10².
(b) 3.423 x 10⁻⁴ - 6.42 x 10⁻³
Find the difference between the two numbers as follows;
i. Re-write the numbers so that they both have the same exponents:
0.3423 x 10⁻³ - 6.42 x 10⁻³
ii. Factor out 10⁻³
10⁻³(0.3423 - 6.42)
iii. Solve the bracket
10⁻³(-6.0777)
iv. Rewrite the result in (iii)
-6.0777 x 10⁻³
To write the result in a proper scientific notation (one non-zero number to the left of the decimal point),
i. Express the number is standard form
-6.0777 x 10⁻³ [already in standard form]
Note that;
From the result in (i)
-6.0777 = mantissa
10 = base
⁻³ = power or exponent.
ii. Express the mantissa of the number in 1 decimal place.
-6.1 x 10⁻³
Therefore, the result in the proper scientific notation is -6.1 x 10⁻³.
Answer:
2x+2y=52
x*y=120
Step-by-step explanation:
The possible lengths of a side of the rectangle are 22, 21, 20, 19, 18, 17, 16 feet.
To find the possible lengths of a side of the rectangle, let's use the formula for the perimeter of a rectangle, which is 2(length + width). We can set up an equation using the given information:
2(length + width) = 52
Dividing both sides by 2, we get:
length + width = 26
Now, to find the possible lengths, we need to consider the area. The formula for the area of a rectangle is length x width. We are given that the area is not to exceed 120 square feet, so we can set up the inequality:
length x width <= 120
Using the relationship length + width = 26, we can substitute length = 26 - width into the inequality:
(26 - width) x width <= 120
Simplifying the inequality, we get:
-width^2 + 26width - 120 <= 0
Now, we can solve this quadratic inequality to find the range of possible widths. Once we have the widths, we can substitute them back into the equation length + width = 26 to find the corresponding lengths.
By solving the quadratic inequality, we find that the possible widths are 4 <= width <= 10. Substituting these widths back into the equation length + width = 26, we get the corresponding lengths:
If width = 4, then length = 22
If width = 5, then length = 21
If width = 6, then length = 20
If width = 7, then length = 19
If width = 8, then length = 18
If width = 9, then length = 17
If width = 10, then length = 16
The possible lengths of a side of the rectangle are {22, 21, 20, 19, 18, 17, 16} feet.
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Answer with explanation:
Since the motion of the ball is projectile motion we shall use the equations for projectile motion.
The maximum height achieved by the projectile is given by
Applying the values we get
The range of the projectile is given by
Applying values we get
thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.
(The height of the players is not taken into account since no info is given about their height.)
25/4
as a percentage?
Answer:
625%
Step-by-step explanation:
Convert fraction (ratio) 25 / 4 Answer: 625%
Answer:
Google says 625% and 6.25 as a decimal
Answer:
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation:
That's the answer.
Answer:
It will take 40 minutes to make and pack an order for 15 parts.
Step-by-step explanation: