Answer: Yes, Daniel has enough money to buy 2 pens.
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Explanation:
x = cost of one pencil
y = cost of one pen
4x = cost of 4 pencils
3y = cost of 3 pens
4x+3y = cost of 4 pencils and 3 pens
100 - (4x+3y) = amount Daniel has left = 7 dollars
100-(4x+3y) = 7 is one equation we can form
Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".
Let's plug that into the first equation and solve for y.
100-(4x+3y) = 7
100-(4(y+3)+3y) = 7
100 - (4y+12+3y) = 7
100 - (7y+12) = 7
100 - 7y - 12 = 7
-7y + 88 = 7
-7y = 7-88
-7y = -81
y = -81/(-7)
y = 11.57 is the cost of one pen
2y = 2*11.57 = 23.14 is the cost of two pens.
Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.
The ratios are both equivalent because if u multiplied 11:14 x 2 would give u 22:28
7 & 13 have an odd product.
Hope this Helps!!
Answer:
2.4747996 * 10^1
Step-by-step explanation:
When working in scientific notation, (a * 10^b) * (c*10^d)
Multiply a*c then add 10 ^(b+d)
Then check that the product of ac is between 1 and 10, if not then we need to adjust so that it is
(7.93205×10^8) • (3.12×10^-8)
(7.93205) • (3.12) =24.747996
10^(8-8) = 10^0
24.747996 needs to be adjusted to be between 1 and less than 10
we move the decimal 1 to the left so we add 1 to the exponent
2.4747996 * 10^0+1
2.4747996 * 10^1