The equations 6x + 5y = 300 and 3x + 7y = 285 represent themoney collected from selling gift baskets in a school fundraising
event. If x represents the cost for each snack gift basket and
y represents the cost for each chocolate gift basket, what is the cost
for each chocolate gift basket?
(1) $20 (3) $30
(2) $25 (4) $54
Answers
Answer:
$30
Step-by-step explanation:
Solving the equation given simultaneously to get the x and y variable;
6x + 5y = 300... (1) × 1
3x + 7y = 285... (2) × 2
Using elimination method, we will multiply equation 1 by 1 and equation 2 by 2 as shown above to have;
6x + 5y = 300... 3
6x + 14y = 570... 4
Subtracting equation 3 from 4, we have;
5y-14y = 300-570
-9y = -270
y = 270/9
y = 30
Since y represent the cost for each chocolate gift basket, the cost of each chocolate gift basket will be $30
Multiply the second equation by -2, then subtract it from the first equation. It should be
6x+5y=300
-6x-14y=-570
-9y=-270
y=30
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Please help will mark brainliest
5 lb., 80 oz.
14,000 lb., 7 tons
4 tons, 6,000 lb.
Answers
1 lb = 16 oz
1 ton = 2,000 lb
10 lb = 10 * 16 oz = 160 oz
5 lb = 5 * 16 oz = 80 oz
7 tons = 7 * 2,000 lb = 14,000 lb
4 tons = 4 * 2,000 lb = 8,000 lb
Not equivalent: 4 tons, 6,000 lb.
Answers
Answer:
588,000,000.
Step-by-step explanation:
Inserting commas every 3 digits from the right, we have:
587,881,188 so that is 587 million and 881,000.
As 8 is the next digit after the 587 we add 1 to 587 to make 588 million.
Answers
Answer:
Step-by-step explanation:
5x21 = 105
105/2 = 52,5
Answers
Answer:
Hi,
Step-by-step explanation:
Answers
This question is not complete because his height and age was not indicated in the above question.
Complete Question:
Rick is a healthy 19-year-old college student who is 70 inches tall and weighs 205 pounds. He has decided to "get a six-pack" over the summer with a diet and exercise program. As part of his new plan, he has stopped drinking soda and is eating more salads in addition to his usual diet. Besides of these changes, he is unclear on how to proceed to reach his fitness goal. Rick's mother wants to make sure his approach will not interfere with his normal growth and development, and has asked him to seek reliable information to help him make a reasonable plan.
If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fat, the recommended maximal weight loss is one pound per week. Since there are 3500 kcalories in a pound of body fat, a deficit of 3500 kcalories for the week or 500 kcalories per day would be required. Calculate the maximum number of kcalories Rick can consume per day to achieve a weight loss of one pound per week. Assume that his weight is 205 pounds and that his physical activity factor is "low active."
Answer:
2696 kilocalories
Step-by-step explanation:
STEP 1
First we need to calculate Rick's Basal Metabolic Rate( BMR)
Weight in pounds = 205 pounds
Age = 19 years
Height in inches = 70 inches
The formula for calculating Basal Metabolic Rate for men =
BMR = 66.47 + ( 6.24 × weight in pounds ) + ( 12.7 × height in inches ) − ( 6.755 × age in years )
BMR = 66.47 + ( 6.24 × 205 ) + ( 12.7 × 70 ) − ( 6.755 × 19)
= 2247
STEP 2:
The next step is to calculate the maximum amount kilocalories per day Rick should consume
Formula is given as :
For a person with physical activity factor of a ' low Active'
Maximum amount of kilocalories to consume per day = Basal Metabolic rate × 1.2
= 2247 × 1.2
= 2696 Kilocalories (kcalories) per day
Answers
The annual interest rate of cd was 1.75.
What is simple interest?
Simple interest is the interest calculated on the principal portion of a loan or the original contribution to a saving amount.
Formula for simple interest
S.I = (P × R × T)/100
Where,
S.I is the simple interest
P is the initial principal balance
R is the interest rate
T is the time in years
According to the given question
We have
Simple Interest, SI = $980
Initial principal balance, P = $7000
Time, T = 8 years
Therefore, the annual interest rate for cd is given by
⇒
⇒
Hence, the annual interest rate of cd was 1.75.
Learn more about simple interest here:
#SPJ2
Here, I = 980
P = 7000
T = 8
Substitute their values into the expression:
980 = 7000 × R × 8 / 100
R = 980 × 100 / 7000 × 8
R = 98000 / 56000
R = 1.75%
In short, Your Answer would be 1.75%
Hope this helps!