Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar per loaf of bread and 0.75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4.5 cups of sugar available for baking.
Answers
We let x = number of loaves of bread
y = number of batches of muffins
For the equation of the flour requirement:
17 = 3.5x + 2.5y
For the equation of the sugar requirement:
4.5 = 0.75x + 0.75y
We evaluate the solutions by manipulating one of the equations into terms of the other. We use the first equation.We write x in terms of y.
x = (4.5/0.75) - y
Substitute the third equation to the second equation.
17 = (3.5((4.5/0.75)-y)) + 2.5y
Evaluating y and x, we have,
y = 4 and x = 2
Thus, from the amounts she has in hand, she can make 4 loaves of bread and 2 batches of muffins.
Answer:
The Correct answer is c.
Step-by-step explanation:
Hope this helps!!!!:)
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C=a(w/150) solve for w
A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?60.5 feet121 feet15.6 feet16.5 feet
What is the equation of a line that is parallel to the line x=14 and contains the point (-3,7)?
A regular square pyramid has a base length of 6 cm. The slant height of the pyramid is 9 cm. What is the surface area of the regular pyramid?a. 90 cm2 b. 120 cm2 c. 144 cm2 d. 252 cm2
Answers
Answer:
circumference = 44 in.
area = 154 in.
Step-by-step explanation:
Circumference = pi * d = (22/7) * 14 = 44 inches
Area = pi*r^2
r = 1/2 * d = 1/2 * 14 = 7
Area = (22/7) * (7^2) = (22/7) * 49 = 154 inches
hope this helps! <3
b) One real root
c) Two distinct real roots
Answers
Therefore, there is no real roots.
Answers
There are 8 sandwiches were ordered.
What is Simplification?
Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
Given that,
Total number of people = 18
Total lunches = 18
And total price = $113.50.
Let there are x number of sandwiches,
And y number of soups.
Also given that,
Cost of one sandwich = $7.75
And cost of one soup = $4.50
Cost of x sandwiches = 7.75x
Cost of y soups = 4.50y
7.75x + 4.50y = 113.50 (1)
x + y = 18 (2)
By solving equation (1) and (2),
x = 8 and y = 10
The required number of sandwiches are 8.
To know more about Simplification on :
#SPJ2
My justification fir wirting the equation like this is beacuse the total equals how many people ate over all minus how many people ate the soup. (X=18-y) y=soup x=sandwiches
81-4.5y+7.75y=113.5
We distributed
Now its time to combine like terms.
3.25y+81=113.5
I only subtracted beacuse the 4.5 was negative
Subtract 81 from both sides
3.25y=32.5
Divide by 3.25 on both sides
Y=10
Now that we have that we insert it back into the equation
x=18-(10)
So x=8
Basically, 8 sandwiches were ordered :D
14/30
Answers
Divide both numbers by 2.
14 ÷ 2 = 7
30 ÷ 2 = 15
Your answer is 7/15
solve
Answers
x^2 - x - 2 = 3x - 4
x^2 - x - 3x - 2 + 4 = 0
x^2 - 4x + 2 = 0 ;
is the quadratic formula ;
a = 1 ; b = -4 ; c = + 2 ;
The solutions are ( - 1 +
Answers
Answer:
m∠6 = 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel line and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
Since, ∠4 ≅ ∠6 [Alternate interior angles]
m∠4 = m∠6 = 148°
Therefore, m∠6 = 148°
Answer:
148°
Step-by-step explanation:
see attached