Answer:
13 weeks
Step-by-step explanation:
In the picture attached, data of the problem is shown in a table.
Althea wants to save $384, in plan B she saves $30 each week. The amount of weeks needed is obtained dividing the total amount to save by the amount saved per week, that is:
equation: $384÷$30 = 12.8 weeks
Here, weeks are considered integers, so you have to round this value to the next integer, that is, 13 weeks. To better understand this, suppose you take 12 weeks saving $30 per week, after 12 weeks you will save: $30*12 = $360, which is not enough; with 13 weeks you will save: $30*13 = $390.
5, because the spouse can be an exemption if not claimed as a dependent on another person's return. The head of household is an exemption as the person doing the return and all kids.
Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now
(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30
Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120
There are 120 girls at Deacon Middle School
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Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y
(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20
making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100
so there are 100 girls at Meadow Middle School
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In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools
This is out of 270+180 = 450 students total
Divide the two values (220 and 450) to get
220/450 = 22/45
The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45
Answer:
C. When the price is lower, the quantity demanded is higher
Step-by-step explanation:
The law of demand states that all other things remaining constant the quantity demanded of a product is inversely proportional to price of the product. This means, if the prices are higher then the quantity demanded is lower and if the prices are lower than the quantity demanded is higher.
Hope it helps.
Thank you ..!!
Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Line AB is parallel to line CD 1. Given
2. <A is congruent to <ECD 2. If parallel lines are cut by a
transversal, then corresponding
angles are congruent.
3. <B is congruent to <EDC 3. If parallel lines are cut by a
transversal, then corresponding
angles are congruent.
4. Tri. AEB is congr. to tri. CED 4. If two angles of a triangle are
congruent to to angles of another
triangle, then the triangles are
similar.