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Debora [2.8K]
3 years ago
7

In a certain area, there are 35 houses to 55 businesses. Write the ratio of houses to

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

\frac{7}{11}

Step-by-step explanation:

Express the fraction as number of houses over number of businesses, that is

ratio = \frac{35}{55}

Divide numerator and denominator by 5 for simplest form

ratio = \frac{7}{11}

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You bought a magazine for $5 and some notepads for $3 each. You spent a total of $26. How many notepads did you buy?
german

Answer:

7 notepads

Step-by-step explanation:

5 + 3x = 26

Subtract constant (5)

3x = 21

Divide by coefficient (3)

x=7

8 0
3 years ago
Read 2 more answers
Is 2493 closer to 2400 rounded or 2,353
DiKsa [7]
2400 because it is only 93 away from 2493 and 2353 is more than 93 away
8 0
3 years ago
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find the dimensions of a rectangle whose width is 5 miles less than its length and whose area is 66 square miles
Lyrx [107]
A = l * w
66 = l * (l - 5)
66 = l^{2}-5l
0 = l^{2}-5l - 66

l = 11 or 6 check which works.

A = 11 * 6, which fits.

length = 11 miles
width = 5 miles
4 0
3 years ago
Pls help picture provided
Zanzabum

Answer: second option

Step-by-step explanation:

The standard form of a quadratic equation is:

ax^2+bx+c=0

Then, to write the quadratic equation given in the problem in standard form, you must substract 1 from both sides of the equation. Then you have:

2x^2+5x-1=0

Given the quadratic equation above, to find the value of b^2-4ac  you must substitute:

a=2; b=5 and c=-1 into b^2-4ac

Thenrefore, you obtain the following result:

5^2-4(2)(-1)=33

8 0
3 years ago
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Find the surface area of each figure. Round your answers to the nearest hundredth, if<br> necessary.
steposvetlana [31]

Answer:

1) 651.5 cm²

2) 462 cm²

3) 99 ft²

4) 1540.8 yd²

Step-by-step explanation:

1) Area of the trapezoid: (12 + 7)/2 * 6.5 = 61.75 cm²

Area of the lateral rectangles: 7*16 = 112 cm²

Area of the top rectangle: 12*16 = 192 cm²

Area of the bottom rectangle: 7*16 = 112 cm²

Area of the figure: 192 + 112 + 2*61.75 + 2*112 = 651.5 cm²

2) Area of the top and bottom squares: 11*11 = 121 cm²

Area of the lateral rectangles: 11*5 = 55 cm²

Area of the figure: 4*55 + 2*121 = 462 cm²

3)  Area of the trapezoid: (3 + 7)/2 * 3.5 = 17.5 ft²

Area of the lateral rectangles: 4*4 = 16 ft²

Area of the top rectangle: 7*4 = 28 ft²

Area of the bottom rectangle: 3*4 = 12 ft²

Area of the figure: 28 + 12 + 2*17.5 + 2*12 = 99 ft²

4) Area of the lateral rectangles: 11*12 = 132 yd²

Area of the top and bottom hexagons: 3*12*10.4 = 374.4 yd²

Area of the figure: 6*132 + 2*374.4 = 1540.8 yd²

8 0
3 years ago
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