What and equal 40 and -13

The sum of two numbers is 52. One number is 3 times as large as the other number. Which is the larger number

creativ13 [48]

The two number are 39 and 13

Solution:

Let the two numbers be "a" and "b"

Let the larger number be "a" and the smaller number be "b"

Given that, sum of two numbers is 52

a + b = 52 ---------- eqn 1

One number is 3 times as large as the other number

Larger number = 3 times smaller number

a = 3b -------- eqn 2

Let us solve eqn 1and eqn 2

Substitute eqn 2 in eqn 1

3b + b = 52

4b = 52

b = 13

Substitute b = 13 in eqn 2

a = 3(13)

a = 39

Thus the two number are 39 and 13

4 0

3 years ago

Help help help help me

scZoUnD [109]

Answer:

Acute

Step-by-step explanation:

Each angle is less than 90 and any angle less than 90 is acute, therefore, we can say without a doubt, that this triangle is acute

6 0

3 years ago

Read 2 more answers

Each cube in this rectangular prism is 1 cm3.What is the volume of the rectangular prism?

Lelechka [254]

Answer:

Volume of rectangular prism = $20\ cm^3$

Step-by-step explanation:

Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.

To find volume of rectangular prism.

Solution:

Volume of rectangular prism is = $length\times width \times height$

We know that all sides of a cube are equal in measure.

So, we will count the number of cubes on each side to get the exact measure.

Length side = 4 cubes = 5 cm

Width side = 2 cubes = 2 cm

Height side = 2 cubes = 2 cm

Thus volume of rectangular prism = $5\ cm\times 2\ cm \times 2\ cm$

Volume of rectangular prism = $20\ cm^3$

4 0

3 years ago

The probability distribution of the amount of memory X (GB) in a purchased flash drive is given below. x 1 2 4 8 16 p(x) .05 .10

Rama09 [41]

Answer:

a) $E(X) = 6.45$

b) $E(X^{2} )= 57.25$

c) $V(X) = 15.648$

d) E(3X + 2) = 21.35

e) $E(3X^{2} +2) = 173.75$

f) V(3X+2) = 140.832

g) E(X+1) = 7.45

h) V(X+1) = 15.648

Step-by-step explanation:

a) $E(X) = \sum xP(x)$

$E(X) = (1*0.05) + (2*0.10) + (4*0.35) + (8*0.40) + (16*0.10)\\E(X) = 6.45$

b)

$E(X^{2} ) = (1^{2} *0.05) + (2^{2} *0.10) + (4^{2} *0.35) + (8^{2} *0.40) + (16^{2} *0.10)\\ E(X^{2} )= 57.25$

c)

$V(X) = E(X^{2} ) - (E(X))^{2} \\V(X) = 57.25 - 6.45^{2} \\V(X) = 15.648$

d)

$E(3X+2) = 3E(X) + 2\\E(3X+2) = (3*6.45) + 2 \\E(3X+2) = 21.35$

e)

$E(3X^{2} +2) = 3E(X^{2} ) + 2\\E(3X^{2} +2) = (3*57.25) + 2 \\E(3X^{2} +2) = 173.75$

f)

$V(3X+2) = 3^{2} V(X)\\V(3X+2) = 9*15.648\\V(3X+2) = 140.832$

g)

$E(X+1) = E(X) + 1\\E(X+1) = 6.45 + 1\\E(X+1) =7.45$

h)

$V(X+1) = 1^{2} V(X)\\V(X+1) = 15.648$

6 0

3 years ago

Rick bikes 24 miles in 3/4 of an hour.what is his speed in miles per hour.

jenyasd209 [6]

Answer:

32 MPH

Step-by-step explanation:

MPH= Distance/Time

24/(3/4)= 24*4/3 = 96/3 = 32 MPH

7 0

3 years ago