A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting 50 large boxes and 65 small boxes. If the truck is carrying a total of 4950 pounds in boxes, how much does each type of box weigh?

Answer:

5 in.

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So third side is 5 inches long.

Answer:

121/4

Step-by-step explanation:

To complete the square, we have to work with the coefficient of x

We have to divide the coefficient of x by 2, square it and add it to both sides

So we divide 11 by 2; which is 11/2; then square it

we have this as 121/4

This number is what we are going to have added

Answer:

Step-by-step explanation:

[tex]x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4[/tex]

[tex]x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2[/tex]

Answer:

37

Step-by-step explanation:

You subtract 142-132 then add 14+13 and 14+13=27 & 142-132=10

Answer:

37 :)

Step-by-step explanation:

Well, the first step you do is you do 142-132 which is (10). The Next step is to do 14+13 which is (27). Now you have 10 and 27 which you now add to get you.. (37)!

Hope this helps! ^^

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

Answer:

549 pumps

Step-by-step explanation:

We'll begin by calculating the radius of the larger ball. This can be obtained as follow:

Circumference (C) = 71

Pi (π) = 3.14

Radius (r) =?

C = 2πr

71 = 2 × 3.14 × r

71 = 6.28 × r

Divide both side by 6.28

r = 71 / 6.28

r = 11.3 in

Next, we shall determine the volume of the larger ball.

Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:

Pi (π) = 3.14

Radius (r) = 11.3 in

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 11.3³

V = 4/3 × 3.14 × 1442.897

V = 6041 in³

Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:

11 in³ = 1 pump

Therefore,

6041 in³ = 6041 in³ × 1 pump / 11 in³

6041 in³ = 549 pumps

Thus, it will take approximately 549 pumps of air to fill the large soccer ball.

Answer:

sorry Wala po akong answer ehhh sorry

Answer:

M > 3

Step-by-step explanation:

4M > 12

M > 3

Answer:

um... you can have M as 4. 4 x 4 =16

Answer:

34

Step-by-step explanation:

all sides of a triangle add up to 180

Answer:

it will take 3 yrs for the value of camera to reach $162.

Step-by-step explanation:

Pd = P(1-R/100)^T

162 = 384(1-25/100)^T

162/384 = (3/4)^T

27/64 = (3/4)^T

(3/4)^3 = (3/4)^T

T = 3

Answer:

this represents: exopnential decay, the rate of growth or decay is equal to: 0.25, value of the camera each year is: 0.75, it will take 3 years.

Step-by-step explanation:

Answer:

9/4 ÷ 7/2

9/4 × 2/7

9/14

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{ \frac{9}{14} }[/tex]

[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]

Answer :

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

Answer:

[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]

Step-by-step explanation:

Given :-

And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.

According to Question :-

[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]

Hence the probability is :-

[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]

Hence the required probability is 8/9 .

Answer:

150 ft^2

Step-by-step explanation:

13 × 10 = 130 ft

2 × 10 = 20/2 = 10

10 × 2 = 20 ft

130 + 20 = 150 ft^2

Answer:

By using the pythagorean property such that GJ^2+HJ^2 = GH^2

GJ = √(GH^2-HJ^2)

GJ √(11881-8281)

GJ = √ 3600

GJ = 60.00 (ANS)

Hope it helps

Answer:

$172.75 is the amount Ahmed has

Answer:

72

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3² = 3 x 3 = 9

Answer: 32

Step-by-step explanation: the big number is 64 and the smallest number is 32. 64-32=32

Answer:

3) 522

4) 468

Step-by-step explanation:

hello!

3) in the question, it says the cross section is a square, and the area of PQRS is 81.

for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)

with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.

both squares : 81+81=162

both 10 by 9 sides: 90+90=180

both 10 by 9 sides (top and bottom): 90+90=180

total surface area=162+180+180=522

4) for this problem, we can see that the triangle is a right triangle.

to solve the area of the triangle, we can do (9*12)/2=108/2=54.

there are two sides with triangles, so we double 54 (54*2=108)

9 by 10 side: 90

10 by 12 side: 120

now for the last slide, theres no information on the length. the formula for the diagonal is

a^2+b^2=c^2

which is

9^2+12^2=81+144=255=15^2

with this, the area of the rectangular side gives us 10*15 which is 150.

adding it together, we get

108+90+120+150=468.

hope this helps!

Answer:

It's the second answer down : Angle B, A and C

Step-by-step explanation:

The sequence from the smallest to the largest is angle B, angle A, angle C .

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given AB= 22 units

BC=16 units

AC=12 units

The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.

That is angle opposite to the shorter side have shorter angle.

Therefore, we have

Therefore,

angle opposite to side AC is angle B,

angle opposite to side BC is angle A,

angle opposite to side AB is angle C,

Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .

To learn more on Triangles click:

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Answer:

sorry i dont know the answer

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

3/4 of a mi is equal to 0.75 mi

2/3 of .75 is .5

Answer:

The scale factor is 2.5

Step-by-step explanation:

took k-12 test

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

Answer:

f(x) = x

Step-by-step explanation:

example of points on line: (40,40), (45,45), (50,50)

x-values are the same as y-values which means the line is y=x

[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]

The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle.

sin ([tex]sin^{-1}x[/tex]) = x, whenever x ∈ [-1, 1] and

sin ([tex]sin^{-1}x[/tex]) is NOT defined whenever x ∉ [-1, 1].

Given

[tex]sin^{-1} (sin17^{0} )[/tex]

Cancel out [tex]sin^{-1}[/tex] and sin

[tex]sin^{-1} (sin17^{0} )[/tex] = [tex]17^{0}[/tex]

Find out more information about Sin of Sin Inverse of x here

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Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13