A garden table and a bench cost $996 combined. The garden table costs $46 more than the bench. What is the cost of the bench?

Answers

Answer 1

Answer:

The cost of the bench is $475

Step-by-step explanation:

Let cost of garden table= x and cost of bench= y

x + y = 996 (eqn 1)

x - y = 46 (eqn 2)

eqn 1 + eqn 2

2x = 1042

2x/2 = 1042/2

x = 521

The cost of the garden table is $521.

Substitute x = 521 into eqn 1

x + y = 996

521 + y = 996

y = 996 - 521

y = 475

The cost of the bench is $475.


Related Questions

6. Determine the measures of the unknown angles in the figure.
73°

26
75°

Answers

Answer is 32,122,58

Step by step explanation

x+75+73=180 => x=180-75-73=32
x+y+26=180 => y=180-26-x=122
z+y=180 => z=180-y=58

1 Can of paint is enough to cover
4/5 of a wall. We only have 2/3 of
a can of paint. How much of a wall
can we paint with 2/3 of a can of
paint?



Pleasa give me the answer with showing work.

Answers

Answer:

Hi! The answer is [tex]1/3[/tex] of a wall.

Step-by-step explanation:

[tex]1 - 2/3[/tex]

[tex]= 1/3[/tex]

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

(-10) + 3 = 10 - 3 is true or false??? ​

Answers

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

FALSE

Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión​

Answers

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

¿Cómo hallar la altitud del avión con respecto al suelo?

A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:

[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex]     (1)

Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:

h = r₁ · sin 40°     (2)

h = (451.589 m) · sin 40°

h ≈ 290.276 m

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

Para aprender más sobre relaciones trigonométricas: https://brainly.com/question/22962732

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please help :( i don’t understand!
An engineer estimated the weight of a steel beam to be 150 pounds. The actual weight of the beam was 143 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

absolute error = ? (pounds)
percent error = ? (%)

Answers

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

a survey of students at a university shows that 3 out of 5 drink coffee. of the students who drink coffee, 1 out of 8 adds cream to it. if the university has 12,000 students, find the number of students who drink coffee with cream

Answers

Answer:

900 students

Step-by-step explanation:

3/5 of 12,000 = 7,200 who drink coffee

1/8 x 7,200 = 900 who drink coffee with cream

Help I really need this answer 5,000 mL =

Answers

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5

The line of best fit for the graph above has the equation
y = -3x + 2. What value does the line predict when x = 9?

Answers

Answer:

y = -25

Step-by-step explanation:

The equation of line is given as :

y = -3x + 2

We need to find the value when x = 9.

Put x = 9 in the given equation. So,

y = -3(9)+ 2

= -27+2

= -25

So, the value of line is equal to -25.

How many triangles can be constructed with side lengths 5, 6, and 9?

None

One

More than one

Answers

9514 1404 393

Answer:

  (b)  One

Step-by-step explanation:

Specifying the three sides also specifies the angles. Only one such triangle can be made.

Answer:

it is only possible to make one triangle

Step-by-step explanation:

what is the answer. Evalute (2/3)2. Thank you

Answers

Answer:

4/3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]

have a nice day

Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle

Answers

The third angle should be 83.
90+7+83=180

Answer:

The third angle would be 83 degrees.

Step-by-step explanation:

Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:

180-90=90

90-7=83 degrees.

For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors

Answers

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

unit 7 lessen 12 cool down 12.5 octagonal box a box is shaped like an octagonal prism here is what the basee of the prism looks like
for each question, make sure to include the unit with your answers and explain or show your reasoning

Answers

To construct an octagonal box, you will need to cut eight rectangular pieces of equal size and eight regular octagons with equal sides. After cutting the pieces, fold them in a way that forms the octagonal box.

In an octagonal box shaped like an octagonal prism, the base is an octagon. Since the question does not provide specific measurements or angles for the octagon, we will assume that all the sides and angles of the octagon are equal. Let's denote the length of each side of the octagon as "s."

Area of the octagon = 2(1 + √2) * s^2

Where s is the length of each side.

An octagonal box is a type of prism that has eight equal sides and is shaped like a polygon. It has 8 vertices, 12 edges, and 6 faces.

The top and bottom faces are regular octagons, while the remaining faces are rectangles that connect the sides of the octagons.

Octagonal boxes can be used for various purposes, including storage, decoration, and shipping.

They are durable and can protect the contents inside from damage. In unit 7 lesson 12 cool down 12.5, you might be required to construct an octagonal box.

To learn more about : rectangular

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A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes for Jinghua?

Select one:


XY, XZ, YX, YZ, ZX, ZY


XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ


X, Y, Z


XX, YY, ZZ
acually anwser or i'll report u

Answers

Answer:

XX, YY, ZZ

Step-by-step explanation:

THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))

Answers

Answer:

Circle 1: 37.68 ft

Circle 2: 28.26 cm

ruby has 202 minutes left on her cell phone plan for the next 5 days. is it possible for ruby to use the same number of whole minutes each day? explain.

Answers

Answer:

no, 202 is not evenly divisible by 5

Step-by-step explanation:

convert 23cm in the inches(round off to the nearest inch)

Answers

Answer:

9.055

Step-by-step explanation:

6х2 + 5х – 6
O (2x + 3)(3x - 2)
O (6x +1)(x - 6)
O (2x - 2)(3x + 3)
O (2x - 3)(3x + 2)

Answers

Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).

Step-by-step explanation:

Can anyone help me with my homework

Answers

Answer:

The answers are as follows:

Step-by-step explanation:

A --> (-1,0) , x-axis

B --> (2,-3) , Q IV

C --> (4,2) , Q I

D --> (-1,5) , Q II

E --> (-3,-4) , Q III

Sally drives from Turlock to Los Angeles at an
average speed of 60 miles per hour. Turlock is
approximately 300 miles from Los Angeles. Which
of the following graphs could give Sally’s
approximate distance d, in miles from Los Angeles,
in terms of time t, in hours? A, B, C, D, or E?

Answers

Answer:

A

Step-by-step explanation:

which fraction is the least 2/4, 5/10, 2/5, 3/4​

Answers

Answer:

2/5 or the third one

Step-by-step explanation:

The first two are 1/2 after they are simplified and the second two are just below or just above one half, the last one is above and the third one is below.

Answer:

2/5

Step-by-step explanation:

Convert all fractions to have a common denominator

4, 10, and 5 can all be multiplied to equal 20

As a result, we will use 20 for the common denominator

What multiplied by 4 equals 20? 5 × 4 = 20

What multiplied by 10 equals 20? 2 × 10 = 20

What multiplied by 5 equals 20? 4 × 5 = 20

If we multiply this to the denominator, we must also multiply the same number to the numerator

Starting from left to right:

2 × 5 / 4 × 5 = 10/20

5 × 2 / 10 × 2 = 10/20

2 × 4 / 5 × 4 = 8/20

3 × 5 / 4 × 5 = 15/20

Compare: 10/20, 10/20, 8/20, 15/20

Which fraction has the smallest numerator?

8/20 as 8 is less than 15 and 10

Which fraction was 8/20? Check back to our work.

8/20 = 2/5

2/5 is the least

1.give the sequence 8.5.2.-1,...at what term will the number become -25? A.11th term B.10th term C.12th term D.20th term 2.which of the following is an algebraic esprression? A.3+5 B.n-1-14 C.3+5=8 D.x=53 3.what is the sum of the first 5 even numbers? A.30 B.20 C.10 D.50

Answers

Answer: 1. C(12) 2. B(n-1-14) 3. A(30)

Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!  

Please calculate the probability using the following equations (in document)

Answers

Substitute u = t ³/2592 and du = t ²/864 dt. Then

[tex]P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du[/tex]

The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives

[tex]P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}[/tex]

Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?

Answers

Answer:

?????

Step-by-step explanation:

12x 0.25=?          ?x 5= $?

There are 10 cars to wash at the school
fundraiser.
- How many orders can be created if you wash
7 of them?
- How many orders can be created if you wash
all of them?

Answers

Answer:21

Step-by-step explanation:simple

Answer:

2 orders if you wash 7.

1 order if you was all of them.

help with math thanks so much!!!!

Answers

Answer:

The answer is 7


What percent of the rectangle above is
shaded?

Answers

20%
Dony listen to the person above me, you are literally asking for a “percent” but the person above me gave a f r a c t i o n
I already studied about this
Pls mark me brainliest

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

10.5

Step-by-step explanation:

I believe the graph is saying there is 6 glasses that have exactly 1¾ tablespoons. Therefore, you do 6 × 1¾ and get 10.5 or 10 ½ tablespoons

the answer is  " 10.5 "

Find the Volume of the prism. All sides of a square box is 7/10 in.

Answers

Answer:

yyyuu,gsfehwgegrbarhqhyekejtwhhtthtanafgegrajtsjttjrhrhrjarhahrhehrhrrnrjehehehehthsqrsjsyksthggejejsgrh,,kerhatstnwtkekehaahwjjyykjm.hteerylektkh#h#h#jrj

PLEASE HELP ME I WILL HIVE BRAINLIST TO THE CORRECT ANSWER !!!!!!!!!!!​

Answers

Answer:

I'm not 100 percent sure but I think it's the first answer choice because at 40000 3 years have passed. Hope this helps :)

Answer:

The machinery ages three years for every $10,000 loss in value.

Step-by-step explanation:

We can see from the graph that each year, the machinery loses a value of $5,000 (Goes from $50,000 to $45,000 after year one, from $45,000 to $40,000 after year two etc). So we can discount the last two answers.

If it loses $5,000 each year, it loses $15,00 after ageing three years, and $25,00 after five years. Though neither of the first two answers correspond to this, the first answer is closest.

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