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3 years ago

What is the inverse of the statement below?

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

I think is B

Because when you change position the sign change from positive to negative

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Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pou

evablogger [386]

Answer:

A pound of potato costs $3.10

A dozen egg costs $5.5

A wheel of cheese costs $6.25

Step-by-step explanation:

Represent

- a dozen egg with D

- a wheel of cheese with W

- a pound of potato with P

For Adam:

$3D + W + 5P = 38.25$ ---- (1)

For Barry:

$D + 10P = 36.50$ ---- (2)

For Charles:

$2D + 2P = 17.20$ ---- (3)

Make D the subject in (2)

$D = 36.50 - 10P$

Substitute 36.50 - 10P for D in (3)

$2(36.50 - 10P) + 2P = 17.20$

$73 - 20P + 2P = 17.20$

$73 - 18P= 17.20$

Collect Like Terms

$- 18P= 17.20 - 73$

$- 18P= -55.8$

$18P= 55.8$

Solve for P

$P = 55.8/18$

$P = 3.1$

Substitute 3.1 for P in $D = 36.50 - 10P$

$D=36.50 - 10 * 3.1$

$D=36.50 - 31$

$D=5.5$

Substitute 3.1 for P and 5.5 for D in $3D + W + 5P = 38.25$

$3(5.5) + W + 5(3.1) = 38.25$

$16.5 + W + 15.5 = 38.25$

Solve for W

$W = 38.25 - 16.5 - 15.5$

$W = 6.25$

8 0

3 years ago

A triangle has a perimeter of

lapo4ka [179]

Answer:

The smallest side is 7inches

Step-by-step explanation:

Let the shorter side be y.

The medium side is 4 more than the short side i.e

Meduim side = 4 + y

The longest side is 5 times the length of the shortest side i.e

Logest side = 5y.

Perimeter of the triangle = 53 inches

But the perimeter of a triangle is the Sum of all sides i.e

P = small + medium + large

53 = y + (4+y) + 5y

53 = y + 4 + y + 5y

Collect like terms

53 — 4 = 7y

49 = 7y

Divide both side by 7

y = 49/7

y = 7inches

Therefore the smallest side is 7inches

8 0

3 years ago

Televisions and monitors come in two common aspect ratios, 4:3 and 16:9 (sometimes

kati45 [8]

Answer:

The dimension of the TV = 11.2 inches × 8.4 inches

Step-by-step explanation:

Let x be the length of the TV

Let y be the width of the TV

x : y = 4:3

$\frac{x}{y} = \frac{4}{3} \\cross-multiplying\\3x = 4y \\x = \frac{4}{3} y- - - - - (1)$

From the figure attached:

using Pythagoras theorem

x² + y² = 42²

where:

$x = \frac{4}{3} y\\(\frac{4}{3}y)^2 + y^2 = 42^2\\\frac{16}{9}y^2 + y^2 = 1764\\ \frac{16y^2}{9} + \frac{y^2}{1} = 1764\\\frac{16y^2 +9y^2}{9}= 1764\\ cross-multiplying\\16y^2 + 9y^2 = 1764\\25y^2 = 1764\\y^2 = \frac{1764}{24}\\y^2 = 70.56\\y = \sqrt{70.56} \\y = 8.4\ inches\\Finding\ x:\\x = \frac{4}{3} y\\x = \frac{4}{3} \times 8.4\\ x = 1.33 \times 8.4\\x = 11.2\ inches\\\therefore\ the\ dimensions\ are\ 11.2\ inches \times 8.4\ inches$

4 0

3 years ago

Name the binomial you can multiply by (x + 9) to get the product x2 + 5x – 36. Question 36 options: x – 6

Alina [70]

The answer you are looking for is (x - 4).

8 0

3 years ago

I just need 4 and 5!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

slamgirl [31]

4. Area is found by length times width

area is (12m + 18) and width is 6

its (12m + 18) = 6 ( 2m + 3 )

5. 21x + 51xy and 7(3x + 8xy). She is incorrect. GCF means the greatest common factor so to be correct the factors inside cannot have something in common. Since they have x in common its incorrect. the correct factor by GCF would be 7x(3 + 8y) because all common factors are factored out.

7 0

4 years ago