answer.
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
musickatia
16 days ago
5

Pepita and francisco each spend a equal amount of time on homework. The table shows the fraction of time they spend on each subj

ect. Complete the table by determining the missing fraction for each student
Fraction 1/2, math,2/3 english,1/6,3/8 science
Mathematics
1 answer:
Zina [9.1K]16 days ago
5 0

Answer:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Step-by-step explanation:

Pepita and Francisco allocate equal amounts of time to their homework. The table indicates how they distribute their time across various subjects.

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Pepita dedicated

\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{2\cdot 2+1\cdot 1}{6}=\dfrac{5}{6}

to English and Science.

Thus, she utilized

1-\dfrac{5}{6}=\dfrac{6}{6}-\dfrac{5}{6}=\dfrac{1}{6}

for Math.

On the other hand, Francisco spent

\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\cdot 4+3\cdot 1}{8}=\dfrac{7}{8}

on Math and Science, resulting in him spending

1-\dfrac{7}{8}=\dfrac{8}{8}-\dfrac{7}{8}=\dfrac{1}{8}

on English.

The table displays:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

You might be interested in
c) Keeping all other criteria the same, add a child to the family you used in part a to determine the monthly expenses. How does
Leona [9271]

Answer:

With the addition of a child, both the family's income and expenses increase. Although the initial expenses might be higher, the financial benefits will manifest over time.

5 0
23 days ago
Billy graphed the system of linear equations to find an approximate solution. y = A system of equations. y equals negative Start
babunello [8412]

Response:

Second option: (2.2, -1.4)

Third option: (2.2, -1.35)

Detailed explanation:

The missing graph has been provided.

The attached image illustrates the graphing of the following system of linear equations:

\left \{ {{y=-\frac{7}{4}x+\frac{5}{2}} \atop {y=\frac{3}{4}x-3}} \right.

Notice the intersection of the lines.

According to the definition, if lines in a system of equations intersect, then there is only one solution. This implies that the intersection point is the solution to that system. This can be expressed as:

(x,y)

Represented by "x" for the x-coordinate and "y" for the y-coordinate.

Here, it's noticeable that:

- The x-coordinate of the intersection point lies between  x=2 and x=3.

- The y-coordinate of the intersection point is situated between  y=-1 and y=-2.

Therefore, you can conclude that the forthcoming points (Refer to the options given in the exercise) are potential approximations for this system:

(2.2, -1.4)\\\\\\(2.2, -1.35)

7 0
1 month ago
Read 2 more answers
If a stadium seats 1,600 people and sells 2/4 of its seats, how many tickets does it sell
tester [8842]

Answer: 800

Step-by-step solution:

Given: The stadium has 1600 total seats.

The portion of seats sold is \dfrac{2}{4}.

To calculate the tickets sold, multiply the total seats by the sold fraction, resulting in

Tickets sold: \dfrac{2}{4}\times1600=800

Therefore, 800 tickets were sold.

5 0
1 month ago
Read 2 more answers
If the m<7 = 115 degrees, find the measure of <2
AnnZ [9099]
If these angles are complementary, their total adds up to 180°.

∠7=115°
∠7+∠2=180°
substituting the known values
115+∠2=180
deduct 115 from both sides
65°=∠2

Final answer=65°
3 0
4 days ago
Read 2 more answers
Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?
babunello [8412]

Answer: The final option.

Step-by-step explanation:

1. The rule for a 90° rotation around the origin states:

(x,y)⇒(-y,x)

2. The coordinates for triangle X'Y'Z' are as follows:

X'(-2,2)

Y'(0,6)

Z'(1,1)

3. Applying the rotation rule, the coordinates for the original figure will be:

X(2,2)

Y(6,0)

Z(1,-1)

Therefore, the answer corresponds to the final option.

7 0
19 days ago
Other questions:
  • The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.
    6·1 answer
  • What teacher exhibited the most consistent performance over this 5 year span
    7·1 answer
  • The quotient of 9 3/4 and 5/8​
    9·2 answers
  • The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours
    6·2 answers
  • Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.
    13·1 answer
  • Draw the graphs of the functions y=1.2x+.9 and y=−1.3x+4.4. Using the graph, locate the points of intersection of the two graphs
    15·1 answer
  • On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from
    5·1 answer
  • What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
    6·1 answer
  • Syd chooses two different primes, both of which are greater than $10,$ and multiplies them. The resulting product is less than $
    11·1 answer
  • Which table describes the behavior of the graph of f(x) = 2x³ - 26x - 24?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!