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
Y_Kistochka [10]
3 years ago
13

How do I solve this?

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0

Answer:

Step-by-step explanation:

From the picture attached,

Addition of the blocks in first row is 60

a + a + a + 12 = 60

3a + 12 = 60

3a = 60 - 12

3a = 48

a = 16

For second row,

(b + 5) + (b + 5) + (b + 5) + (b + 5) = 60

4(b + 5) = 60

b + 5 = 15

b = 10

For third row,

(a + b) + c = (b + 5) + (b + 5) + (b + 5)

a + b + c = 3(b + 5)

16 + 10 + c = 3(10 + 5) [Since, a = 16 and b = 10}

26 + c = 45

c = 45 - 26

c = 19

For fourth row,

3c + d = 60

3(19) + d = 60

57 + d = 60

d = 60 - 57

d = 3

You might be interested in
Find the distance, in feet, a particle travels in its first 2 seconds of travel, if it moves according to the velocity equation
just olya [345]

Answer:

The particle will travel 6 feet in first 2 seconds.

Step-by-step explanation:

We have been given that a particle moves according to the velocity equation v(t)= 6t^2-18t+12. We are asked to find the distance that the particle will travel in its first 2 seconds.

s(t)=\int |v(t)|dt

s(t)=\int\limits^2_0 |6t^2-18t+12|dt

Now, we will eliminate the absolute value sign as:

s(t)=\int\limits^1_0 6t^2-18t+12dt+\int\limits^2_1 -6t^2+18t-12dt

s(t)=[\frac{6t^3}{3}-\frac{18t^2}{2}+12t]^1_0 +[\frac{-6t^3}{3}+\frac{18t^2}{2}-12t]^2_1

s(t)=[2t^3-9t^2+12t]^1_0 +[-2t^3+9t^2-12t]^2_1

s(2)=2(1)^3-9(1)^2+12(1)-(2(0)^3-9(0)^2+12(0))-2(2)^3+9(2)^2-12(2)-(-2(1)^3+9(1)^2-12(1))

s(2)=2-9+12-(0)-16+36-24-(-2+9-12)

s(2)=5-(0)-4-(-5)

s(2)=5-4+5

s(2)=6

Therefore, the particle will travel 6 feet in first 2 seconds.

   

 

7 0
3 years ago
The angles of a triangle are 2x, 3x and 7x respectively. If the sum of the angles of a triangle is 180°What is the measure of ea
vodomira [7]

Answer:

30°, 45°, and 105°

Step-by-step explanation:

Find the value of x

2x + 3x+ 7x = 180

12x = 180

x = 180/12

x=15

Get the value of the angles

2x = 2(15)

3x= 3(15)

7x= 7(15)

The measure of the angles are 30°, 45°, and 105° respectively.

8 0
3 years ago
Can someone help me with 3 and 4?
KIM [24]

Answer:

3) f(-11)=2(-11)-7\\f(-11)=-22-7\\f(-11)=-29


4) g(21)=6(21)-3\\\\g(21)=126-3\\g(21)=123

Step-by-step explanation:


8 0
3 years ago
Colin and Brian were playing darts. Colin scored 139. Brian scored 53 more than Colin. What was their combined score?
Arturiano [62]

Answer:

192

Step-by-step explanation:

Its nothing complicated just add their scores together.

4 0
3 years ago
Read 2 more answers
What is the simple interest of a savings deposit for 1500 for 18 months at an interest rate of 6%
andrezito [222]

Step-by-step explanation:

Principal=1500

Time=18months = 18×12=216

Interest=6%

now

SI=P×T×R÷100

SI=1500×216×6÷100

SI=1944000÷100

SI=19440 is the answer

6 0
3 years ago
Other questions:
  • At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the ball
    14·1 answer
  • Find valuable asked for witch ABCD must be a parallelogram, <br> 1<br> 11<br> 2<br> 15
    14·1 answer
  • Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π ​ )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac
    8·1 answer
  • Write two decimals that are equivalent to the given decimal.<br> 0.60 and 0.9
    12·1 answer
  • A) ¿Qué nombre recibe la tabla?B) Elabore una distribución de frecuencias acumulativas y represente la distribución en un polí-g
    15·1 answer
  • The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??
    5·2 answers
  • Need help ASAP. I don't understand anything in this unit.
    12·1 answer
  • X + 2x - 7/4=1 - x/2 -x ayudaaaaa
    8·2 answers
  • Please answer this to the best of your ability
    10·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!