The table you drew under the question is exactly the right way to start.
-- Make a second column, next to the 6 and 7. This column will be
the actual number of each thing.
-- You know that there are 42 marbles, so write '42' in the box
next to the 6, on the 'Marbles' line.
Now you need to figure out what to write in the 'Stones' line, next to the 7.
-- Look at the 'Marbles' line. There's a 6 and then a 42.
Ask yourself: " Self ! What does the 6 have to be multiplied with to get 42 ?"
-- Whatever the answer is, drop down to the 'Stones' line,
and multiply the 7 by the same number.
The product is the total number of stones, and it goes in the box.
.
.
.
(The mystery number is 7. There are 49 stones.)
Answer:
Rs 328
Step-by-step explanation:
Find the <u>principal</u> amount invested.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned
- P = principal
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- I = Rs 320
- r = 5% = 0.05
- t = 2 years
Substitute the given values into the formula and solve for P:
⇒ 320 = P(0.05)(2)
⇒ 320 = P(0.1)
⇒ P = 3200
<u>Compound Interest Formula</u>
where:
- I = interest earned
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = 3200
- r = 5% = 0.05
- n = 1 (annually)
- t = 2 years
Substitute the given values into the formula and solve for I:
Therefore, the compound interest on the same sum for the same time at the same rate is Rs 328.
Answer:
- angle at A: 51°
- base angles: 64.5°
Step-by-step explanation:
The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.
The base angles at B and C are the complement of half this value, or ...
90° -(51°/2) = 64.5°
The angle measures in the triangle are ...
∠A = 51°
∠B = ∠C = 64.5°
Answer:
We conclude that the slope of the graph of y = 5 x is 5.
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
Given the line
y = 5x
comparing with the slope-intercept form of the line equation
The slope of the line = m = 5
Therefore, we conclude that the slope of the graph of y = 5 x is 5.
Answer:
Step-by-step explanation:
2x(x - 3) + 7(x - 3)
2x^2 - 6x + 7x - 21
reduce
2x^2 + x - 21
if this is equal to 0 then:
2x^2 + x - 21 = 0
factored:
(2x + 7)(x - 3) = 0
How that was done:
Divide the (2x^2) into (2x) and (x).
Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).
