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
Pavlova-9 [17]
3 years ago
14

A+B=44 A : B is equvililent to 13 :8 Please solve

Mathematics
2 answers:
lilavasa [31]3 years ago
6 0
13:18 is in simplest form, so it’s multiplied by something, let’s call it x

So A + B equals 13x + 8x

13x + 8x = 44
21x = 44
x =44/21

Plug in to check:
13(44/21) + 8(44/21) = 44
572/21 + 352/21 = 44
924/21 = 44
44 = 44 :)
Veronika [31]3 years ago
3 0

Step-by-step explanation:

<h3>13:8</h3><h3>A=13x. B=8x</h3><h3>13x + 8x = 44</h3><h3> 21x=44</h3><h3> x=2.095</h3>
You might be interested in
10(2^×) + 7(3^×) = 6^× + 70​
Mkey [24]

Answer:

x = 2.81 and 2.096

Step-by-step explanation:

Given the expression

10(2^x) + 7(3^x) = 6^x + 70​

This can also be expressed as;

10(2^x) + 7(3^x) = (2*3)^x + 70

10(2^x) + 7(3^x) = 2^x*3^x + 70

Let a  = 2^x and b = 3^x

10a + 7b = ab + 70

10a + 7b - ab = 70

10a-ab + 7b - 70 = 0

a(10-b)+7(b-10) = 0

a(10-b)-7(10-b) = 0

a-7 = 0 and 10-b = 0

a = 7 and b = 10

Since a = 2^x

7 = 2^x

log 7 = log2^x

log7 = xlog2

x = log7/log2

x = 2.81

Similarly

10 = 3^x

log 10 = log 3^x

log 10 = xlog3

x = log 10/log 3

x = 1/0.4771

x = 2.096

Hence the values of x that satisfies the equation are 2.81 and 2.096

8 0
2 years ago
Solve the system by substitution <br><br> -8x+y=-9<br> y=7
aleksandr82 [10.1K]
In point for (2,7) and in Equation form x=2 y=7
6 0
3 years ago
PLEASE HELP ASAP!!!!
Setler [38]

Piecewise Function is like multiple functions with a speific/given domain in one set, or three in one for easier understanding, perhaps.

To evaluate the function, we have to check which value to evalue and which domain is fit or perfect for the three functions.

Since we want to evaluate x = -8 and x = 4. That means x^2 cannot be used because the given domain is less than -8 and 4. For the cube root of x, the domain is given from -8 to 1. That meand we can substitute x = -8 in the cube root function because the cube root contains -8 in domain but can't substitute x = 4 in since it doesn't contain 4 in domain.

Last is the constant function where x ≥ 1. We can substitute x = 4 because it is contained in domain.

Therefore:

\large{  \begin{cases} f( - 8 ) =   \sqrt[3]{ - 8}  \\ f(4) = 3 \end{cases}}

The nth root of a can contain negative number only if n is an odd number.

\large{  \begin{cases} f( - 8 ) =   \sqrt[3]{ - 2 \times -  2 \times   - 2}  \\ f(4) = 3 \end{cases}} \\  \large{  \begin{cases} f( - 8 ) =  - 2\\ f(4) = 3 \end{cases}}

Answer

  • f(-8) = -2
  • f(4) = 3
6 0
2 years ago
If a cup of coffee has temperature 97°C in a room where the ambient air temperature is 25°C, then, according to Newton's Law o
FinnZ [79.3K]

Answer:

The  average temperature  is T_{a} = 81.95^oC

Step-by-step explanation:

From the question we are told that

    The temperature of the coffee after time t is   T(t) =  25 + 72 e^{[-\frac{t}{45} ]}

Now the average temperature during the first 22 minutes i.e fro 0 \to  22minutes is mathematically evaluated as

              T_{a} =  \frac{1}{22-0}  \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx

               T_{a} = \frac{1}{22} [25 t  +  72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.

             T_{a} = \frac{1}{22} [25 t  - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.

              T_{a} = \frac{1}{22} [25 (22)  - 3240e^{[-\frac{22}{45} ]}   - (- 3240e^{0} )]

            T_{a} = \frac{1}{22} [550  - 1987.12  +  3240]

          T_{a} = 81.95^oC

       

8 0
2 years ago
Divide use partial quotients 36 divided by 540
Blizzard [7]

Answer and explanation;

= 1/15 is the answer get when 36 is divided by 540 .

We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;

540 ÷ 36

We can take 360 ÷ 36 = 10

Then the remainder is ; 540 -360 = 180

But ; 180 ÷36 = 5

Then we get the sum of the quotients which is 10 +5 = 15

Thus; 540 ÷ 36 = 15

However; the question was 36 ÷ 540 , so we get the reciprocal of 15;

= 36 ÷ 540 = 1/15

8 0
3 years ago
Read 2 more answers
Other questions:
  • I want to know what the answer is in a fraction.
    13·1 answer
  • Wich pair of equations below represents perpendicular lines? <br><br> Please!!!
    7·2 answers
  • What is the degree of 4xy^2x
    15·2 answers
  • Estimate each quotient 195 divided by 4
    11·2 answers
  • What's the answer ?????
    14·1 answer
  • 1. Complete the square to form a perfect square trinomial. 8x + x² + __
    14·1 answer
  • Autumn sells laptop computers for $800 each. If she sells 57 computers, how much money does she earn?
    12·1 answer
  • Which is greater 0.062 or 0.101
    8·1 answer
  • 43.8 divided by 3 what the answer hurry pls
    8·1 answer
  • Which polynomial is prime?<br> Ox+3x²-x²-3<br> Ox4-3x²-x² + 3<br> O 3x²+x-6x-2<br> O 3x²+x-6x + 3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!