A garden table and a bench cost $985 combined. The garden table costs $35 more than the bench. What is the cost of the bench?

Answers

Answer 1

Answer: let the cost price of bench be x
then cost price of garden table is x+35

total cost = x + x+35
985 = 2x +35
985 -35÷2 =x
425 =×
then the total cost of bench is 425 and garden is 460

Answer 2

Answer: 985-35=950, 950÷2=475, 475+35=510, 510 and 475

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Answers

Its definitely B

hope this helped

Solve each equation by factoring 6k2+21=27k

Answers

$6k^2+21=27k\n\n 6k^2-27k+21=0\ \n\n3(2k^2-9k+7)=0\n\n3(2k^2-2k-7k+7)=0\n\n3[2k(k-1)-7(k-1)]=0\n\n3(k-1)(2k-7)=0\ \ \ \Leftrightarrow\ \ \ k=1\ \ \ or\ \ \ k=3.5$

(3k+7)(3k-3) is the answer. Subtract 27k from each side to get 6k2-27k+21, and then factor through

What is the slope of graph 8x + 2y=13

Answers

Answer: -4

Step-by-step explanation:

To find the slope of the graph represented by the equation 8x + 2y = 13, we need to rearrange the equation into slope-intercept form, which is y = mx + b.

Let's solve for y:

8x + 2y = 13

2y = -8x + 13

y = -4x + 6.5

Now we can see that the coefficient of x, which is -4, represents the slope of the graph.

Therefore, the slope of the graph is -4.

A square pyramid is shown. What is the surface area? A square based pyramid, with bases labeled 3.5 centimeters and side length of triangle labeled 7 centimeters.

19.25 cm2
30.625 cm2
49.625 cm2
61.25 cm2

Answers

Given:
square based pyramid = 3.5 cm base
side length = 7 cm

Base Area = (3.5cm)² = 12.25cm²

Surface Area = Base Area + 2sl = 12.25cm² + (2 * 3.5cm* 7cm)
S.A = 12.25 cm² + 49 cm²
S.A = 61.25 cm²

Answer:

61.25 thank you next

Step-by-step explanation:

48 over 120 = x over 100 cross multiply to get answer of x

Answers

$(48)/(120)=(x)/(100)\ \ \ \ \ |(48)/(120)=(48:6)/(120:6)=(8)/(40)=(8:4)/(20:4)=(2)/(5)\n\n(2)/(5)=(x)/(100)\ \ \ \ |cross\ multiply\n\n5(x)=2(100)\n\n5x=200\ \ \ \ |divide\ both\ sdies\ by\ 5\n\n\boxed{x=40}$

$(48)/(120)=(x)/(100) \n120x=48 * 100 \nx=(48 * 100)/(120) \n x=(48 * 100)/(12 * 10) \nx=4 * 10 \nx=40$

Television screen sizes are the diagonal length of therectangular screen. Hector recently changed from
watching a television with a 13-inch screen to a television
with a similar 19-inch screen. If a boxcar
appeared 8 inches long on the 13-inch screen, how
long, to the nearest inch, will it appear on the 19-inch
screen?

Answers

x/8 = 19/13 => x = (8*19)/13 = 11.69 inches long;

Final answer:

The boxcar will appear 12 inches long on the 19-inch screen.

Explanation:

To find out how long the boxcar will appear on the 19-inch screen, we can set up a proportion using the relationship between the screen sizes and the length of the boxcar. Let's call the length of the boxcar on the 19-inch screen 'x'. So, we have the proportion:

13/8 = 19/x

Solving for 'x', we can cross multiply and divide:

x = (19 * 8)/13

Calculating this gives us 'x' to be approximately 11.7 inches. Rounding to the nearest inch, the boxcar will appear 12 inches long on the 19-inch screen.

Learn more about Television screen sizes here:

brainly.com/question/28563035

#SPJ2

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