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Liono4ka [1.6K]
3 years ago
12

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of the large box and a small box is 70

pounds. The truck is transporting 55 large boxes and 65 small boxes. if the truck is carrying a total of 4150 pounds in boxes, how much does each type of box weight.
large box :

smaller box:​
Mathematics
1 answer:
andre [41]3 years ago
3 0

Answer:

3.45

Step-by-step explanation:

you have to do tihis then that

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Explain how you find it
aliina [53]

Answer:

x = 39

Step-by-step explanation:

there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two

so, (36 + 42)/2 = x

36 + 42 = 78

78/2 = 39

8 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator
Yakvenalex [24]

Answer:

x = √(10)/2

Step-by-step explanation:

Here, we want to get the measure of the side marked x

what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each

Hence, the other last side will measure x too

Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

x^2 + x^2 = (√5)^2

2x^2 = 5

x^2 = 5/2

x = √(5/2)

x = √5/√2

Rationalizing the denominator;

x = (√2 * √5)/(√2 * √2)

x = √10/2

4 0
3 years ago
Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati
Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)


\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

7 0
3 years ago
I need help with this in math right now I'm struggling
kaheart [24]

Answer:

y=-4x-2

Step-by-step explanation:

linear function, y = mx+c

the y intercept of the graph,c, is -2

thus y = mx - 2

substitute a point on the graph into the equation, (2,-1)

2 = m(-1) -2

m = - 4

thus equation of graph is y = -4x-2

3 0
2 years ago
What is a similarity between the empirical rule and​ chebychev's theorem?
avanturin [10]
<span>The Empirical Rule is used when data distribution is bell shaped, whereas Chebyshev's theorem is used for all distribution shapes</span>
4 0
3 years ago
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