1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Airida [17]
3 years ago
5

One bar of candy A and two bars of candy B have 774 calories. Two bars of candy A and one bar of candy B contains 786 calories.

Find the caloric contents of each candy bar
Mathematics
1 answer:
vampirchik [111]3 years ago
5 0
◆ Define the variables:

Let the calorie content of Candy A = a
and the calorie content of Candy B = b

◆ Form the equations:

One bar of candy A and two bars of candy B have 774 calories. Thus:

a + 2b = 774

Two bars of candy A and one bar of candy B contains 786 calories

2a + b = 786

◆ Solve the equations:

From first equation,
a + 2b = 774
=> a = 774 - 2b

Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie

◆ Find caloric content:

Caloric content of candy B = 254 calorie

Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
You might be interested in
Zari folds the net shown into model of a solid figure. How many edges, faces, and vertices does the model have?
adoni [48]

Answer:

Faces = 6

Vertices = 8

Edges = 12

Step-by-step explanation:

In a solid geometric shape :

         A face is a flat surface : faces = 6

         A vertex (plural: vertices) is a Corner : vertices = 8

         An edge is a particular type of line segment joining

                                                          two vertices : Edges = 12

                       

6 0
3 years ago
What is a algebraic expression for 5 more than z
kolezko [41]
Z+5 that's it sorry had to put at least 20 characters so good luck. To clarify, it is z+5
6 0
3 years ago
We need to attach a support wire to Glendale's flagpole, which is 24 feet high. The
antoniya [11.8K]

Step-by-step explanation:

this creates a right-angled triangle.

the right angle (90°) being the angle between flag pole and ground.

the angle ground-wire is 50°.

because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is

180 - 90 - 50 = 40°

so, we have the situation to know 1 side and all angles.

to get the other sides we use best the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and related angles are always opposite of each other.

in our case now we have

24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft

so, the rounded answer is that the wire must be

31.3 ft long

4 0
2 years ago
What is 25% less than x
vladimir2022 [97]

Answer:

3/4x

Step-by-step explanation:

5 0
3 years ago
What is the exact volume of the cone?
victus00 [196]
Answer:  [D]:  " 196π  in.³  "  .
_____________________________________________________
Explanation:
_____________________________________________________
Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.

Volume:  V = Base area * h ; 

The base area of a cone is a circle:  A = π * r²  = π* (7²) = 49π .

(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").

V = (Based area) * h = (49π  in.) * (4 in.) = (49*4)π  in.³
   =  196π  in.³  ; which is: Answer choice: [D] .
__________________________________________________________
8 0
3 years ago
Read 2 more answers
Other questions:
  • You went to the mall with $52.50. You bought three shirts that each cost x
    14·1 answer
  • The probability that a randomly selected​ 5-year-old male horned beetle will live to be 6 years old is 0.25624.​
    15·2 answers
  • a new car has a sticker price of $22,450 while the invoive price paid was$19,450 what is the dealer mark up
    12·2 answers
  • HeeeeeEEEEEELP
    15·1 answer
  • 2(x−4) = −2x + 3 + 4x<br><br> Solve for X<br> What does X=?<br> Step by Step MUST have
    9·1 answer
  • Tania lived in Columbia and Dominican Republic for a total period of 14 months in order to learn Spanish. She learned an average
    7·1 answer
  • Serena wants to make snack bags for a trip she is going on. She has 12 granola bars and 30 pieces of dried fruit. If the snack b
    8·1 answer
  • Normal Distribution Problem. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy
    10·2 answers
  • No links please and thank you
    9·1 answer
  • 53 - 180 ? Not sure
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!