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sergij07
13 days ago
15

Kelly, Laura, and Tia so boxes of cookies for a fundraiser. Kelly sold 15 boxes less than Laura. Tia so twice as many boxes as K

elly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?
Mathematics
2 answers:
babunello [11.8K]13 days ago
7 0
Laura sold 32 boxes, Kelly sold 17, and Tia sold 34 boxes. Step-by-step explanation: Let Laura's boxes be represented by L. Kelly sold L - 15, and Tia sold 2(L - 15). Therefore, the equation L + (L - 15) + 2(L - 15) = 83 can be solved as follows: 4L - 45 = 83, giving us 4L = 128, hence L = 32. Subsequently, Laura sold 32 boxes, Kelly sold 17 (which is 32 - 15), and Tia sold 34 (totaling twice Kelly's sales). The overall total is 32 + 17 + 34 = 83.
Zina [12.3K]13 days ago
5 0
Laura sold 32 boxes, Kelly sold 17 boxes and Tia sold 34 boxes. Step-by-step explanation: Let x be the number of boxes Laura sold. Then, Kelly's sales would be x - 15, and Tia's sales would be 2(x - 15). We conclude from the given information that the total sales are 83 boxes. Hence, we derive the equations and find that Laura sold 32 boxes, Kelly sold 17 boxes, and Tia sold 34 boxes.
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Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨2,−3,4⟩, b=⟨−4,5,−1⟩, and c=⟨−2,−1,5⟩.
lawyer [12517]

Answer:

la derivada de la función vectorial dada es = ( -16-22t, 14-36t, -2-16t )

Explicación paso a paso:

datos proporcionados:

función vectorial: r(t) = ta*(b+tc)

a = ( 2,-3.4).   b = (-4,5,-1).  c = ( -2,-1,5)

para determinar la derivada de la función vectorial, se procederá a diferenciar respecto a x; aquí está la solución detallada

7 0
1 month ago
A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function? y = –4/3x y = –3/4
Zina [12379]

Answer:

First, we must calculate the slope

m=Y2-Y1/X2-X1

= 9 - (-6) / 12 - (-8)

= 15/20

= 3/4

Therefore, the equation with the slope of 3/4 is Y=3/4x

8 0
1 month ago
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. I
AnnZ [12381]

Answer:

The correct option is:

On the coordinate plane, there is a parabola that opens upwards, passing through the points (2, 10), having its vertex at (5, 1), and intersecting (8, 10).

Step-by-step explanation:

Initially, we must understand the translation rules

1) {f(x) + a} signifies f(x) moved up by (a) units

2) {f(x) – a} means f(x) moved down by (a) units

3) {f(x + a)} represents f(x) moved left by (a) units.

4) {f(x – a)} indicates f(x) moved right by (a) units.

Given information:

f(x) = x²

g(x) = (x-5)² + 1

By comparing the transformation from f(x) to g(x) with the translation rules

It can be concluded that g(x) represents f(x) through a translation of 5 units to the right and 1 unit upwards (rules 1 and 4)

Refer to the attached image, which illustrates the graphs of both f(x) and g(x)

As depicted, g(x) intersects (2, 10), has a vertex at (5, 1), and crosses through (8, 10)

3 0
1 month ago
Read 2 more answers
Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects
AnnZ [12381]

Answer:

118.2°

Step-by-step explanation:

Dos líneas paralelas x e y son cortadas por la transversal w (ver el diagrama adjunto).

Se forman 8 ángulos (denominados 1, 2, 3, 4, 5, 6, 7 y 8).

Los ángulos 1 y 6 son ángulos del mismo lado cuando dos líneas paralelas x e y son cortadas por la transversal w.

Dos ángulos del mismo lado son suplementarios (suman 180°). Esto significa

m\angle 1+m\angle 6=180^{\circ}

Dado m\angle 1=61.8^{\circ}, por lo que

m\angle 6=180^{\circ}-61.8^{\circ}=118.2^{\circ}

8 0
1 month ago
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Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How ma
lawyer [12517]

3 distinct arrangements - 1 x 9 (or 9 x 1) and 3 x 3

Thus, the total number of arrangements = 2 x 2 = 4 = an even count

Initially, we identify pairs of different factors of 9.

The pairs of factors for 9 are:

(1, 9) and (3, 3)

For each of these pairs, Mr. Deets can create 2 arrangements.

This means the total arrangements Mr. Deets can construct = 2 x 2 = 4, confirming that the overall number is even.

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1 month ago
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