All categories

3 years ago

Can someone help me plz??

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

Answer: 23

Step-by-step explanation:

2x + 14 = 60

2x = 46

x = 23

You might be interested in

1. Find the value of x 37.5 17 52.5 a. 39.5 b. 75 c. 40 d. 42.5

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is

$\frac{x}{17}$ = $\frac{37.5}{52.5-37.5}$ = $\frac{37.5}{15}$ ( cross- multiply )

15x = 637.5 ( divide both sides by 15 )

x = 42.5 → d

3 0

3 years ago

The rate of change of the mass, A, of salt at time t is proportional to the square of the mass of salt present at time t. Initia

Brums [2.3K]

Answer:

(a) -dA/dt = kA², A₀ = 10

(b) A =10/(1+ kt)

Step-by-step explanation:

(a) Find the IVP

A differential equation with an initial condition y₀ = f(x₀) is called an initial value problem.

The rate of decrease of A is proportional to A², and A₀ = 10, so the IVP is

-dA/dt = kA², A₀ = 10

(b) Solve the IVP

$\begin{array}{rcl}-\dfrac{\text{d}A}{\text{d}t} & = & kA^{2}\\\\\dfrac{\text{d}A}{A^{2}} & =&-k\text{d}t\\\\-\dfrac{1}{A} & = & -kt + C\\\\\dfrac{1}{A} & = & kt + C\\\\\end{array}$

Apply the initial condition: A₀ = 10 (when t = 0)

$\dfrac{1}{10} = C\\\\\dfrac{1}{A} = kt + \dfrac{1}{10}\\\\\dfrac{10}{A} = 10kt + 1\\\\\mathbf{A} = \mathbf{\dfrac{10}{1+ kt}}$

(c) Find the time when A(t) < 1

(i) Find the value of k (A₁₀ = 4)

$\begin{array}{rcl}A& =&\dfrac{10}{1+ kt}\\\\4 & =& \dfrac{10}{1 + 10k}\\\\4 + 40 k & = & 10\\\\40k & = & 6\\k & = & 0.15\\\end{array}\\\\\mathbf{A} =\mathbf{ \dfrac{10}{0.15t + 1}}$

(ii) Find t when A < 1

$\begin{array}{rcl}A(t) & < & 1\\\dfrac{10}{0.15t + 1} & < & 1\\\\10 & < & 0.15t + 1\\9 & < & 0.15t\\t & > & 60\\\\\end{array}\\\mathbf{A < 1} \textbf{ when }\mathbf{ t >60}$

The figure below shows the graph of A vs t.

6 0

3 years ago

Tickets to the zoo cost $14 for adults and $10 for children. A group of 12 people went to the zoo, and the tickets cost $140. Th

hjlf

x is the number of adults and y is the number of children.
x + y = 12
14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
14x + 10y = 140
-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = 12
5 + y = 12
y = 12 - 5
y = 7
therefore there were 5 adults and 7 children

8 0

4 years ago

HELP ME PLEASE!! ILL MARK U BRANLIEST!

ser-zykov [4K]

Answer:

Part A- B Part B- 50

Step-by-step explanation:

4x=200 if x represented 50 than 4X50 = 200 !

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!!! posted jan 25 2021 9:16 am i need it by 11:50 pm of today!!!

Hatshy [7]

Answer:

Step-by-step explanation:

1760 yards in 1 mile.

4 miles is 1760x4

7 0

3 years ago