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
Zielflug [23.3K]
3 years ago
8

A garden table and a bench cost $600 combined.

Mathematics
2 answers:
dmitriy555 [2]3 years ago
6 0

Answer:

$150

Step-by-step explanation:

A garden table and a bench together will cost $600. The actual values of the garden table and the bend are not given, but we know that the cost of a garden table will cost three times more than the bench.

Let x = the cost of the bench.

Again, since the cost of the garden table is three times the cost of the bench (x), we can represent the garden table as three times x (3x). These two terms will equal $600 when added, so let's formulate an equation:

3x+x=600

Combine like terms:

4x=600

Divide both sides of the equation by the coefficient of x, which is 4:

x=150

_

Check your work by substituting 150 into the original equation:

3(150)+(150)=600

450+150=600

600=600

Our answer is correct!

bija089 [108]3 years ago
5 0
$150
Garden table: $450 (x3 150)
Bench: $150
Total: $600
Hope this helps!
You might be interested in
Can someone pls help? Thx
sergey [27]
Your answer would be -3/4n+3/8 because 1/4•-3/1n would be -3/4n and then 1/4•3/2 would be 3/8 so your answer would then be -3/4n+3/8.
5 0
3 years ago
On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthd
Alexandra [31]

Answer:

A\simeq3250.83

Step-by-step explanation:

The amount formula in compound interest is:

A=P(1+\frac{r}{n} )^{nt}

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2000

r = 7\% = \frac{7\%}{100\%}=0.07

t = 7 (number of years from 6th to 13th bday)

n = 4 (quarterly in a year)

Then,

A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83

8 0
2 years ago
Trapezoids and kites
lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 36\degree +70\degree+m.

\Rightarrow 106\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles of the kite are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

|RH|^2=12^2+20^2

|RH|^2=144+400

|RH|^2=544

|RH|=\sqrt{544}

|RH|=4\sqrt{34}

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore m

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

m

\Rightarrow m

\Rightarrow m

QUESTION 7

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 48\degree +110\degree+m.

\Rightarrow 158\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

|BC|^2=4^2+7^2

\Rightarrow |BC|^2=16+49

\Rightarrow |BC|^2=65

\Rightarrow |BC|=\sqrt{65}

QUESTION 9.

The sum of the interior angles of a trapezium is 360\degree.

\Rightarrow m.

\Rightarrow m.

But the measure of angle M and K are congruent.

\Rightarrow m.

\Rightarrow m.

\Rightarrow m.

\Rightarrow m.

6 0
3 years ago
What is the average rate of change of the function over the interval x = 0 to x = 6? f(x)=2x−1 3x+5 Enter your answer, as a frac
Tatiana [17]

Answer:

-11

Step-by-step explanation:

Our function is 2x-13x+5

  • 2x-13x+5= -11x+5
  • F(0)= 5 and F(6)= -11*6+5 = -61
  • let m be the average change : m= (-61-5)/6= -11

8 0
3 years ago
Is the relationship between the number of movie tickets and the total cost of the tickets proportional?
almond37 [142]

Yes, the proportion is -6.

5 0
3 years ago
Other questions:
  • Find the lateral area the regular pyramid.
    13·2 answers
  • How many 100s are there in 1000? <br><br> Write to explain
    15·2 answers
  • Which number is a common multiple of 7and 4<br><br><br> What is the least common multiple of 18and28
    12·1 answer
  • Yoshi saved $5 each week for 23 weeks. What is the total amount of money he saved. Use an area model to solve
    13·1 answer
  • Express the area of the figure as a monomial.
    13·1 answer
  • Please help!....! this is due today !
    15·1 answer
  • what is the volume of a cone if the radius is 6mm and the height is 4mm. Round your answer to the nearest tenth. use 3.14 for pi
    12·1 answer
  • What is the slope of the line through (3, 3) and (0, 12)? Pls help due soon
    14·1 answer
  • Karen deposits $450 into a savings account which earns simple interest at a rate of 5% per year. She wants to keep the
    13·1 answer
  • The perimeter is about WHAT HELP!?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!