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3 years ago

Pls help asap....tia

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

6 0

Answer:

2541 peanut cookies were sold

Step-by-step explanation:

A system of equations can be written to match the problem description. Let p and c represent the initial numbers of peanut and chocolate cookies, respectively. Then we have ...

p - c = 1820 . . . . Lyn had 1820 more peanut cookies

After selling 35% of her peanut cookies, Lyn had 1-0.35 = 0.65 of the original number left. Likewise, after selling 15% of her chocolate cookies, she had 1-0.15 = 0.85 of the original number left. Then after the sales, the difference in cookie count was 95:

0.65p -0.85c = 95

We only need to know the original number of peanut cookies (p), so we can use Cramer's rule to find the solution for p.

p = (-95 +0.85·1820)/(-0.65+0.85) = 1452/0.20 = 7260

The original number of peanut cookies Lyn had was 7260, so the number she sold is ...

0.35 · 7260 = 2541

_____

Cramer's rule says the solution to ...

ax +by =c

dx +ey =f

is given by ...

x = (ec-bf)/(ea-bd)

y = (fa-cd)/(ea-bd)

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Answer:

Given the expression:

$-4^2$

we know:

$4^2 = 4 \times 4 = 16$

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$-4^2 = -16$

Therefore, the value of expression $-4^2$ is -16 i.e negative.

$(-4)^2$

we know:

$4^2 = 4 \times 4 = 16$

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then;

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Therefore, the expression $(-4)^2$ is 16 i.e Positive.

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we know:

$4^2 = 4 \times 4 = 16$

then;

$4^2 = 16$

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3 years ago

What is the value of 9 in 213.95

Wittaler [7]

Answer:

0.9

Step-by-step explanation:

The digit 9 is in the tenth place value.

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3 years ago

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The graph of a linear system is shown

nirvana33 [79]

Answer:

The coordinates of the point of intersection is (2, 7)

Step-by-step explanation:

From the graph, we have the two intersecting straight lines each described as follows;

The first straight line graph from the left, we have;

y-intercept = (0, 5), x-intercept = (-5, 0) therefore, the slope, m = (0 - 5)/(-5 - 0) = 1

The equation of the graph is slope-intercept form is y - 5 = 1×(x - 0)

Which gives;

y = x + 5.........................(1)

The second lie graph has y-intercept = (0, 9), x-intercept = (9, 0) therefore, the slope, m = (0 - 9)/(9 - 0) = -1

The equation of the graph in slope-intercept form is y - 9 = -1×(x - 0)

Which gives;

y = -x + 9.......................(2)

To find the point of intersection, we equate equation (1) to equation (2), which are the y-value function of x, we have;

x + 5 = -x + 9

x + x = 9 - 5

2·x = 4

x = 4/2 = 2

x = 2

From either equation (1) or equation (2), we can find the value of y as follows;

y = -x + 9, where x = 2 gives;

y = -2 + 9 = 9 - 2 = 7

y = 7

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3 years ago

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4 years ago

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If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs

Crazy boy [7]

Answer:

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Step-by-step explanation:

a. $\angle 1,\angle3$ are corresponding angles.

Two angles on the same side of the transversal either below or above of the two lines are corresponding angles.

b. $\angle 4,\angle8$ are alternate exterior angles.

Pair of angles in which one arm of each of the angles lies on opposite sides of the transversal.

c. $\angle 2,\angle3$ are consecutive interior angles.

Consecutive interior angles are also called co-interior angles.

Angles which are lying on the same side of a transversal cutting across the the two lines which are parallel.

So the pair of $1\ and\ 3$ are corresponding angles the pair of $4\ and\ 8$ are alternate exterior angles,the pair of $2\ and\ 3$ are consecutive interior angles.

8 0

3 years ago

Pls help asap....tia​

Pls help asap....tia