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
Tomtit [17]
4 years ago
9

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year

they plan to spend $2,580 on entertainment. What was their total budget last year?
Mathematics
1 answer:
Troyanec [42]4 years ago
5 0

Answer: Their total budget last year was $40,000.

Step-by-step explanation:

Given : The Smiths spend 6% of their budget on entertainment.

i.e. , The money they spend on entertainment = 0.06 x ( Total budget)

{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)

Since , this year they plan to spend $2,580 on entertainment.

i.e. 0.06 x ( Total budget )  = $2,580

On dividing both sides by 0.06 , we get

( Total budget )  = $2,580 ÷ 0.06

=  $43,000

Thus , their total budget for this year = $43,000

Also, Their total budget this year is $3,000 more than last year.

Therefore , their last year total budget = ( Total budget this year ) - $3000

= $43,000 - $3000

= $40,000

Hence, their total budget last year was $40,000.

You might be interested in
1.
bulgar [2K]

Answer:

8/9 will be left over

Step-by-step explanation:

3 7/9 + 5 1/3= 9 1/9

Now subtract the amount of paint needed by how much paint there is:

10- 9 1/9= 8/9

Therefore, 8/9 will be left over

Hope this helps

5 0
2 years ago
-2x+5=4x-7 solve for x. Show all work
Neko [114]

Answer:

2=x

Step-by-step explanation:

-2x+5=4x-7

+2x     +2x

5=6x-7

+7     +7

12=6x

/6

2=x

7 0
3 years ago
Read 2 more answers
Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24
Zanzabum

We want to find a polynomial

<em>f(x)</em> = <em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em>

such that the roots of <em>f</em> are <em>x</em> = -3, <em>x</em> = -1, and <em>x</em> = 4, and <em>f(x)</em> takes on a value of -24 when <em>x</em> = -2.

The factor theorem for polynomials tells us that we can factorize <em>f(x)</em> as

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a</em> (<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4)

Expand the right side:

(<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4) = <em>x</em>³ - 13<em>x</em> - 12

So we have

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a x</em>³ - 13<em>a</em> <em>x</em> - 12<em>a</em>

<em />

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

<em>a</em> = <em>a</em> (of course)

<em>b</em> = 0 (there is no <em>x</em>² term on the right)

<em>c</em> = -13<em>a</em>

<em>d</em> = -12<em>a</em>

<em />

We also have that <em>f</em> (-2) = -24, which means

<em>f</em> (-2) = <em>a</em> (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6<em>a</em>

<em>a</em> = -4

which in turn tells us that <em>c</em> = 52 and <em>d</em> = 48.

So we found

<em>f(x)</em> = -4<em>x</em>³ + 52<em>x</em> + 48

4 0
3 years ago
The sum of two numbers is 148. The larger number is two less than three times the smaller. What are the two numbers?
Lyrx [107]
Let
x--------->  the larger number
y---------> the smaller number

we know that
x+y=148------> equation 1
x=3y-2------> equation 2

substitute 2 in 1
[3y-2]+y=148--------> 4y=150---------> y=150/4------> y=37.5
x=3y-2----> x=3*37.5-2-----> x=110.5

the answer is
the larger number is 110.5
the smaller number is 37.5
4 0
3 years ago
Read 2 more answers
Help me fast plz I need help
olasank [31]

Answer:

There Is no problem.

Step-by-step explanation:

I would love to help you once you add a question. Have a blessed day!

7 0
3 years ago
Read 2 more answers
Other questions:
  • A container holds 0.7 liters of oil and vinegar 3/4 of that is vinegar how much oil is in the container
    5·1 answer
  • The Cold War was a long conflict between the United States and the Soviet Union. During the Cold War, the Berlin Wall split Berl
    13·1 answer
  • Is this equation equivalent or not
    15·2 answers
  • How do you simplify the following trigonometric expression:
    11·1 answer
  • 25<br> 2<br> In long division
    8·1 answer
  • At which value in the domain does f(x) = 0?<br> 2<br> 2<br> 4
    14·1 answer
  • Which statement correctly compares Line segment AB Which statement correctly compares Line segment AB and Line segment FD? And L
    14·1 answer
  • - A school is using 12 passenger vans to transport
    15·1 answer
  • I need help now btw i am in middle school
    7·2 answers
  • Answer Fast Plsssss please hellpppp me
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!