Giving 15 points for help!Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown.
6p + 3n = 18 and 2n = p
6(2n) + 3n = 18
12n + 3n = 18
15n = 18; n = $1.20
Onions cost $1.20 per pound.
Analyze the daughter’s solution. Which statements are true? Check all that apply.
The equation 2n = p should be 2p = n.
The equation 6p + 3n = 18 should be
6n + 3p = 18.
The actual cost of the onions is $3.00 per pound.
Potatoes cost $0.60 per pound.
Potatoes cost $1.50 per pound.
Potatoes cost $2.40 per pound.
Answers
Answer: The correct statements are 'The equation 2n = p should be 2p = n' , 'The actual cost of the onions is $3.00 per pound' and 'Potatoes cost $1.50 per pound.'
Step-by-step explanation:
Here, p represents cost of one potato and n represents the cost of one onion.
And, According to the question, He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18.
Therefore, 6p +3n = 18 ------(1)
And, Onions cost twice as much as potatoes.
Therefore, n= 2p ---------(2)
Putting the values of n from 2) in equation 1),
we get, 6p+3(2p)=18
⇒6p+6p=18 ⇒ 12p =18 ⇒ p = 1.5 dollar.
Thus cost of one potato= $1.5
And cost of one onion = $ 2× 1.5= $ 3.00
Thus with help of above explanation we can say that Options first, third and fifth are correct.
Answer:
Step-by-step explanation:
1,3,5
Related Questions
Of the 125 guests invited to a wedding, 104 attented the wedding. What percent of invited guests attented the wedding?
Jim got a 90% on his test he missed 3 questions. How many questions were on the test?
Solve D=RT for D, if T=5hours and R=65mph
Taylor and Abby shared a $55 cash prize in the ratio 2:3. How much money did Taylor get?
Answers
Answer:
Step-by-step explanation:
We are asked to calculate 7.75% of $9,000.
To calculate 7.75% of $9,000, we will divide 7.75 by 100 and then multiply by $9,000 as:
Therefore, 7.75% of $9,000 equals $697.50.
Hope this helps!
Answers
Answer:
703 alomejor pueden ser
Answers
Answer:
Step-by-step explanation:
Sum of angle in a triangle = 180°
<A+<B+<C = 180
Given <B = 50°
Substituting into the formula
<A+50+<C = 180
<A+<C = 180-50
<A+<C = 130°
Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°
The possible values of <A and <C that will be acute and give a sum of 130° are;
∠A= 58° and ∠C= 72°
∠A= 80° and ∠C= 50°
∠A= 60° and ∠C= 70°
You can see that all the Angles are less than 90° and their sum is 130°
Final answer:
Out of the options provided, for an acute triangle ABC with angle B equal to 50 degrees, angles A and C can measure 58 and 72 degrees respectively or 60 and 70 degrees.
Explanation:
In Mathematics, especially Geometry, we know that the sum of the angles in any triangle, acute or otherwise, equals 180 degrees. In the given triangle ABC, m∠B is 50 degrees. If ABC is an acute triangle, none of these angles can be equal to or more than 90 degrees as an acute angle is less than 90 degrees.
So the possible values for measures of angles A and C are:
- m∠A= 58 degrees; m∠C= 72 degrees
- m∠A= 60 degrees; m∠C= 70 degrees
The other options cannot be correct because either they would make the sum of the angles more than 180 degrees, or one of the angles would be equal to or greater than 90 degrees.
Learn more about Acute Triangle here:
#SPJ3
sales tax = $
Partial sales receipt with all amounts in dollars and cents - canned tuna 5.25 tax-exempt, paper towels 6.89 taxable, straws 0.99 taxable, batteries 5.67 taxable
Answers
Tax on paper towels : 6.89*6.25/100=0.430625~$0.43
Tax on straws : 0.99*6.25/100=0.061875~$0.06
Tax on batteries : 5.67*6.25/100=0.35475~$0.35
Total taxes : 0.43+0.06+0.35=$0.84
Answers
Answers
Answer:
c. 3
Step-by-step explanation:
what i did was divide all the numbers on DEF by the answers that you have
I recently did this on a test