For the first one it’s subtraction property of equality
X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.
Answer:
x = 6.59 hrs = about 6 hours, 35 minutes
Step-by-step explanation:
Adam drives at 85 km / h. Let's set up equivalent fractions to see how long if he drives 560 km.

Cross-multiply:
85x = 560
Solve for x:
560/85 = x
<u>x = 6.59 hrs = about 6 hours, 35 minutes</u>
This is an example of conditional probability because we are trying to find the probability of an event occurring GIVEN the occurrence of some other event. There is a formula for this (see image attached).
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.
Answer:
<h2>48</h2>
Step-by-step explanation:
so for every 3 Reid washes there are 4 Elsie washes
the ratio of washing is 3:4
lets add 3 and 4 up
3 + 4 = 7
now lets divide the total number of washes by the added ratio
84/ 7
=12
now we know that 1 part is 12
to find Elsie's part we need to x 12 by how many parts she has got
she washed 4 times
4 x 12
=48