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3 years ago

Are the ratios 10:8 and 19:16 equivalent? yes or no

Mathematics

1 answer:

NeX [460]3 years ago

5 0

No.

Reason:

If you multiply the first ratio 10:8 by 2 you get 10 x 2 : 8 x 2 = 20:16

the bottom number is identical to the second ratio but 20 is greater than 19, so the two ratios are not equivalent.

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There are 7 people on a cycling team. Their coach mush pick two of them to be Co - Captain. How many different pairs can the cou

garik1379 [7]

21, because 7 choose 2 = 21

4 0

3 years ago

Y=-1/2x +7

yarga [219]

Answer:

B; (2,-4)

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

So from the question, when we look at the given equation, its slope is -1/2

mathematically, when two lines are perpendicular, the product of their slopes is -1

thus;

m1 * m2 = -1

m2 * -1/2 = -1

-m2 = -2

m2 = 2

The general equation form is;

y-y1 = m(x-x1)

where (x1,y1) = (4,0)

y-0 = 2(x-4)

y = 2x - 8

So, now we look at the point that will work for this equation

For the line that will work, if we substitute its x-value, we get the y-value

Let us take a look at option B

y = 2(2) -8 = 4-8 = -4

we can see that (2,-4) works

4 0

2 years ago

How much material is needed to construct a triangular tent that is 6 feet wide 4 feet tall and 8 feet long with side measurement

jonny [76]

Answer: 152ft^2

The amount of material needed to construct the tent is 152ft^2

Step-by-step explanation:

The amount of material needed to construct a triangular tent= the surface area of the triangular tent.

S.A = area of the 2 side rectangles + area of the 2 side triangles + area of the base.

S.A = Ab + At + Ar ....1

Area of the base Ab= Length × width = 8×6 = 48ft^2

Area of the two triangles At = 2 × 0.5 × width × height

At = width × height = 6×4 = 24ft^2

Area of the two rectangles Ar = 2 × side measurement × length

Side measurement is given as 5ft.

or it can be calculated using;

Side length can be calculated using Pythagoras theorem.

Examining the figure attached, we can see that;

Side breadth b = √(h^2 + (w/2)^2)

b = √(4^2 + (6/2)^2) = √(16+9) = √25

b = 5ft

Ar = 2×5×8 = 80ft^2

From eqn1, S.A can be solved as;

S.A = 48 + 24 + 80

S.A = 152ft^2

7 0

3 years ago

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of

Nuetrik [128]

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

5 0

2 years ago

Read 2 more answers

Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 677 random

Alika [10]

Answer: The value of test statistic is -0.052.

Step-by-step explanation:

Since we have given that

n = 677

and

$\bar {p}=0.499$

Claim that Most of the adults erase all of their personal details online.

p = 0.5

q = 1-0.5 = 0.5

So, the test statistic would be

$z=\dfrac{\bar{p}-p}{\sqrt{\dfrac{pq}{n}}}\\\\z=\dfrac{0.499-0.5}{\sqrt{\dfrac{0.5\times 0.5}{677}}}\\\\z=\dfrac{-0.001}{0.0192}\\\\z=-0.052$

3 0

3 years ago