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
satela [25.4K]
2 years ago
11

A teacher working's day is 7 1/2 hours long. one certain day, he spent 3 1/2 hours teaching and 2 1/2 hours marking student assi

gnment. What fraction did he spend (a) Teaching (b) Marking.​
Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0

Answer:

(a) 7/15

(b) 1/3

Step-by-step explanation:

(a) teaching:

(3 1/2) / (7 1/2) = (7/2) / (15/2) = 7/2 * 2/15 = 7/15

(b) marking:

(2 1/2) / (7 1/2) = (5/2) / (15/2) = 5/2 * 2/15 = 5/15 = 1/3

You might be interested in
Please help I will mark brainliest!!!!!!!!!!
Oxana [17]

Answer:

9/10 pounds

Step-by-step explanation:

3/5 × 1 1/2

= 9/10

5 0
2 years ago
Cary is 7 years older than Dan. In 7 years the sum of their ages will be 79. Find the age of each man now.
Vilka [71]

Answer:

Dan is 29. Cary is 36.

Step-by-step explanation:

Let Dan's age now be D.

Let Cary's age now be C.

"Cary is 7 years older than Dan."

C = D + 7

"In 7 years the sum of their ages will be 79. "

In 7 years, the ages of Dan and Cary will be D + 7 and C + 7, respectively.

D + 7 + C + 7 = 79

C + D + 14 = 79

C + D = 65

C = D + 7

The last two equations in bold above form a system of equations. Since the second equation is already solved for C, we use the substitution method.

D + 7 + D = 65

2D + 7 = 65

2D = 58

D = 29

C = D + 7

C = 29 + 7

C = 36

Answer: Dan is 29. Cary is 36.

3 0
3 years ago
The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5
Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

f(x)=3(5)^x

The growth factor between x=1 and x=3 is 25.

To find the growth factor between x=5 and x=7

Solution:

The growth factor of an exponential function in the interval x=a and x=b is given by :

G=\frac{f(b)}{f(a)}

We can check this by plugging in the given points.

The growth factor between x=1 and x=3 would be calculated as:

G=\frac{f(3)}{f(1)}

f(3)=3(5)^3

f(1)=3(5)^1

Plugging in values.

G=\frac{3(5)^3}{3(5)^1}

G=\frac{(5)^3}{(5)^1} (On canceling the common terms)

G=(5)^{(3-1)}  (Using quotient property of exponents \frac{a^b}{a^c}=a^{(b-c)} )

G=(5)^{2}

∴ G=25  

Similarly the growth factor between x=5 and x=7 would be:

G=\frac{f(7)}{f(5)}

f(7)=3(5)^7

f(5)=3(5)^5

Plugging in values.

G=\frac{3(5)^7}{3(5)^5}

G=\frac{(5)^7}{(5)^5} (On canceling the common terms)

G=(5)^{(7-5)}  (Using quotient property of exponents \frac{a^b}{a^c}=a^{(b-c)} )

G=(5)^{2}

∴ G=25  

Thus, the growth factor remains the same which is  =25.

3 0
2 years ago
Read 2 more answers
Identify the slope and y-intercept of the graph of the equation Y=3/4x-2
sukhopar [10]

Hey there! :)

y = 3/4x - 2

To find the slope and y-intercept, simply use slope-intercept form to understand this.

Slope-intercept form is : y = mx + b ; where m = slope, b = y-intercept.

Therefore, you must ask yourself : which value is in the "m" spot and which value is in the "b" spot in our given equation?

Using this logic, we can come to the conclusion that :

Slope = 3/4 & Y-intercept = -2

~Hope I helped! :)

6 0
3 years ago
Question 8 (1 point)
sergey [27]
Y=-5x+4 y=7x+5 that is the line
3 0
3 years ago
Other questions:
  • I need help with this please...........
    9·1 answer
  • Please help!<br><br> Select one:<br> a. $1.78<br> b. $0.85<br> c. $2.64<br> d. $6.32
    9·1 answer
  • In Japan, farmers have created watermelons in the shape of rectangular prisms. Find the volume of a prism-shaped watermelon in c
    6·2 answers
  • You have 30 feet of wire fencing that you want to use to make a rectangular pen for chickens. Let l be the length of the pen. wh
    14·1 answer
  • The school cafeteria has 19 round tables and 13 rectangular tables. Each round table has 3 chairs, and each rectangular table ha
    13·2 answers
  • Draw and write to explain how you can divide a rectangle into thirds in two different ways
    5·2 answers
  • Multiply.
    6·1 answer
  • A plane is flying at 31,348 feet. It needs to rise to 36,000 feet in two stages. In stage 1, it rises 5% of its initial altitude
    12·1 answer
  • Irrational numbers are
    14·1 answer
  • Simon feeds each of his dogs 1/8 of a can of food each day. He uses a total of 5/8 of a can of
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!