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
yan [13]
3 years ago
7

The sum of the digits of a certain two-digit number is 11. When you reverse its digits you increase by 9. What is the number?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0
The number is composed by two digits, let them be ab, so we have:
a + b = 11

this is a pseudo-equation, we are not multiplying ab or ba, is just the digits order.
ba = ab + 9
The pairs of numbers that could comply with the first equation are:
(2,9)
<span>(3,8)
</span><span>(4,7)
</span><span>(5,6)
</span>But only the last couple <span>(5,6) comply as well with the second condition. Because 65 = 56 + 9
Therefore the unknown number is 56</span>
You might be interested in
David's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 51 grams, how many grams of cocoa does it contain? Rou
OverLord2011 [107]

Answer:

18.9

Step-by-step explanation:

You need to find 37% of 51

In other words: 37% x 51

3 0
3 years ago
Choose the correct answer. If you ignore the available __________, on what basis are you going to estimate what the future numbe
krek1111 [17]
C) statistics
only one that truly makes sense
3 0
3 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand co
jok3333 [9.3K]

Answer:

76 mL of 8% and 304 mL of 13%

Step-by-step explanation:

Set up a table like this (this is the same table for any mixture problem):

                   mL total     *           % vinegar       =              % vinegar/mL

8%

13%

total %

What you do with this table is multiply the first 2 columns and they equal the last column.  We already know the middle column's entries from what we are given.  But remember that a percent needs to be expressed as a decimal:

                       mL total     *       % vinegar      =        % vinegar/mL

8%                                                 .08

13%                                                .13

total %                                  

Now we also know that the total he wants to make is 380 mL that is 12%, so all that info goes into the last row:

                      mL total       *       % vinegar        =        % vinegar/mL

8%                                                   .08

13%                                                  .13

total %            380                          .12

If he wants this total mixture to come from the 8% and the 13% vinegars, he is mixing them together, or adding them.  We need to know how much 8% + how much 13% will give us 380 mL of 12%.  So we can fill in the amounts accordingly.  If he has x mL of 8%, then he will have 380 - x of 13%.  The table tells us that we are multiplying the first 2 columns to get the third, so we will do that at the same time:

                       mL total         *          % vinegar        =        % vinegar/mL

8%                        x                *             .08                =          .08x

13%                 380 - x            *             .13                 =      .13(380 - x)

total %               380              *             .12                 =          45.6

Since we are adding the different vinegars together to get the total, we can do that with the last column as well.  This is our equation:

.08x + .13(380 - x) = 45.6  Multiply everything through by 100 to get rid of the decimals now:

8x + 13(380 - x) = 4560 and

8x + 4940 - 13x = 4560 and

-5x = -380 so

x = 76

This means that there is 76 mL of 8% and 380 - 76 = 304 mL of 13%

8 0
3 years ago
What pattern can be observed from the data?​
marin [14]
I can’t see the diagram
5 0
3 years ago
Read 2 more answers
Compute the norm of v when v = (-8,7,4)​
dexar [7]

Answer:

the norm of V = =11.357816691601..

Step-by-step explanation:

\left\vert \overrightarrow{V} \right\vert  =\sqrt{\left( -8\right)^{2}  +\left( 7\right)^{2}  +\left( 4\right)^{2}  }

      =\sqrt{64+49+16}

      =\sqrt{129}

      =11.357816691601...

4 0
2 years ago
Other questions:
  • Find the perimeter of the shape below:
    5·2 answers
  • A fish and game warden captures and tags 66 deer in a local forest. A month later he captures 1oo deer and finds that 17 of them
    11·1 answer
  • Evaluate |-5| <br><br> A) -5 <br><br> B) 5
    10·2 answers
  • Find the volume of this composite figure and explain how you got your answer
    11·1 answer
  • Plz help will give brainiest to the first person who answers this correctly plz helpppp!!!!
    15·1 answer
  • Factor completely, show work.<br><br> x² - 49
    13·1 answer
  • Which equation represents this number sentence?
    12·1 answer
  • Find the surface area of the triangular prism
    12·1 answer
  • The diameter of a circle is 2 units. What is the radius of the circle?
    7·1 answer
  • When x=-1 what is the value of y?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!