Question:
John read the first 114 pages of a novel, which was 3 pages less than ⅓ of the novel. Write an equation to determine the total number of pages (P)
Answer:
114 = ⅓P - 3
Explanation:
Given
Number of pages read = 114
Total pages in novel = p
The relationship between the pages read by John and the total pages is analysed as follows:
3 less than ⅓ of total pages means:
⅓ of total pages - 3
Recall that P represents the total pages in the novel
So, the expression becomes
⅓ * P - 3
⅓P - 3
This means that the pages read by John is ⅓P - 3
This implies that the equation to determine the number of pages in the novel is
⅓P - 3 = 114
Solving further to get the actual number of pages;
Multiply both sides by 3
3(⅓P - 3) = 114 * 3
3 * ⅓P - 3 * 3 = 114 * 3
P - 9 = 342
Add 9 to both sides
P - 9 + 9 = 342 + 9
P = 351
Hence the number of pages is 351
Answer:
Answers below
Explanation:
1. 114 = 1/3p - 3
2. 351 pages
The Hernandez family budget is shown in the graph.
A circle graph titled Family Budget. Housing is 23 percent, Food is 21 percent, Savings is 10 percent, Transportation is 16 percent, medical is 12 percent, clothing is 13 percent, emergency fund is 5 percent.
Which 3 categories make up more than half of the Hernandez family budget? Select two choices..
clothing, medical, and emergency fund
clothing, housing, and savings
housing, savings, and food
housing, food, and transportation
food, transportation, and emergency fund
Answer:
housing, savings, and food
housing, food, and transportation
Explanation:
Given: Family Budget comprises of 23% housing, 21% food, 10% savings, 16% transportation, 12% medical, 13% clothing and 5% emergency fund.
To find: categories that make up more than half of the Hernandez family budget
Solution:
clothing + medical + emergency fund = [tex]13+12+5=30 \%[/tex]
clothing + housing + savings = [tex]13+23+10=46\%[/tex]
housing + savings + food = [tex]23+10+21=54\%[/tex]
housing + food + transportation = [tex]23+21+16=60\%[/tex]
food + transportation + emergency fund = [tex]21+16+5=42\%[/tex]
So, 3 categories that make up more than half of the Hernandez family budget are housing, savings, and food, housing, food, and transportation
Answer:
C and D
Explanation:
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