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
babunello [35]
3 years ago
7

If 78 sit-ups is done in 2 minutes how many can be done in 5 minutes

Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

Answer:

195 sit-ups

Step-by-step explanation:

If 78 are done in 2 minutes, then

78/2 = 39   sit-ups are done per minute, so

39(5) = 195 sit-ups are done in 5 minutes

Oksanka [162]3 years ago
4 0

Answer:

195

Step-by-step explanation:

78/2*5

You might be interested in
In a class of 30 students (x+10) study algebra, (10x+3) study statistics, 4 study both algebra and statistics. 2x study only alg
Vladimir [108]

Answer:

1. The Venn diagrams are attached

2. When the statistics students number = 10·x + 3, we have;

The number of students that study

a. Algebra = 128/11

b. Statistic = 213/11

When the statistics students number = 2·x + 3, we have;

The number of students that study

a. Algebra = 16

b. Statistic = 15

Step-by-step explanation:

The parameters given are;

Total number of students = 30

Number of students that study algebra n(A) = x + 10

Number of students that study statistics n(B) = 10·x + 3

Number of student that study both algebra and statistics n(A∩B) = 4

Number of student that study only algebra n(A\B) = 2·x

Number of students that study neither algebra or statistics n(A∪B)' = 3

Therefore;

The number of students that study either algebra or statistics = n(A∪B)

From set theory we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 10·x + 3 - 4 = 27

11·x+13 = 27 + 4 = 31

11·x = 18

x = 18/11

The number of students that study

a. Algebra

n(A) = 18/11 + 10 = 128/11

b. Statistic

n(B) = 213/11

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 128/11 - 4 = 84/11

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 213/11 - 4 = 169/11

However, assuming n(B) = (2·x + 3), we have;

n(A∪B) = n(A) + n(B) - n(A∩B)

n(A∪B) = 30 - 3 = 27

Therefore, we have;

n(A∪B) = x + 10 + 2·x + 3 - 4 = 27

2·x+3 + x + 10= 27 + 4 = 31

3·x = 18

x = 6

Therefore, the number of students that study

a. Algebra

n(A) = 16

b. Statistics

n(B) = 15

Hence, we have;

n(A - B) = n(A) - n(A∩B) = 16 - 4 = 12

Similarly, we have;

n(B - A) = n(B) - n(A∩B) = 15 - 4 = 11

The Venn diagrams can be presented as follows;

6 0
3 years ago
15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor
oee [108]

Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos

rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos

interiores suman 180°. La notación que se acostumbra es la siguiente.

5 0
3 years ago
Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be
musickatia [10]

Answer: Time t = 33.0 seconds

Step-by-step explanation:

Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function

H(t) = 5cos( 2π/3 ​t) − 35.5H

Where the maximum vertical distance = 5

At the down position, H(t) = 0

5cos( 2π/3 ​t) − (35.5/100)H = 0

5cos( 2π/3 ​t) − 0.355 × 5 =0

5cos( 2π/3 ​t) − 0.1775 = 0

5cos( 2π/3 ​t) = 0.1775

cos( 2π/3 ​t) = 0.1775/5

cos( 2π/3 ​t) = 0.355

2π/3 ​t = cos^-1 (0.355)

2π/3 ​t = 69.2

2πt = 69.2 × 3

2πt = 207.6

t = 207.6/2π

t = 33.0 seconds

3 0
3 years ago
Read 2 more answers
Solve the right triangle. Round decimal answers to the nearest tenth.
eimsori [14]

AB² = AC²+BC²

AB² = 9²+12²

AB²= 225

AB= 15

SinA = 12/15

A = Sin-¹(0.8)

M`A = 53°

M`B = 90- A = 90-53= 37°

8 0
3 years ago
Read 2 more answers
Ana and chuyen are exploring underground caves anas location is -30 feet below the cave entrance and chuyen's patience is -12 fe
ki77a [65]
Ana' location is further away from the entrance
3 0
3 years ago
Other questions:
  • I need help I don’t know how to do it
    5·1 answer
  • What is the nature of the roots for y=x2 - 4x + 4?
    11·1 answer
  • How can I solve (n+1) x 2= 10 <br> Please someone answer :(
    13·2 answers
  • Find tan(ZA)<br> 20/21<br><br> 21/20<br><br> 21/29<br><br> 20/29
    13·1 answer
  • Math help please? There are 12 more toy cars than toy trucks in a box with a total of 38 toy cars and toy trucks. How many toy t
    10·1 answer
  • What is the diameter of the circle: x^2+y^2=16 ?
    8·1 answer
  • The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for th
    14·1 answer
  • The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
    7·1 answer
  • Someone help me please! i will reward brainliest! this is geometry​
    5·1 answer
  • Allison and her children went into a bakery where they sell donuts for $2 each and cookies for $1 each. Allison has $20 to spend
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!