3. An empty bag has a weight of 400g. When 6 footballs are packed into it the total weight is
3070g. What is the weight of one football?

Answer:

$980

Step-by-step explanation:

Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420

Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700

Step 3: Add both results together

[tex]420 + 700 = 1120[/tex]

Step 4: Subtract the result from how much joe earns ($2,100)

[tex]2100 - 1120 = 980[/tex]

Joe has $980 left

If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.

Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is

(1/5) * $2,100 = $420.

Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.

To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.

To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.

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Answer:

r = 3.02 cm

Step-by-step explanation:

V cone = πr²h/3

r = √(3V/πh)

r = √(3(143.56)/π(15))

r = 3.0231297

Answer:

1.66

Step-by-step explanation:

Using the Chi square statistic (χ²) test :

χ² = Σ(Oi - Ei)² / Ei

Expected, Ei :

Freshmen = 30% * 300 = 90

Sophomore =24% * 300 = 72

Junior = 26% * 300 = 78

Senior = 20% * 300 = 60

Observed, Oi :

Freshmen = 83

Sophomore = 68

Junior = 85

Senior = 64

χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)

χ² = 49/90 + 16/72 + 49/78 + 16/60

χ² = 0.544 + 0.222 + 0.628 + 0.267

χ² = 1.661

The test statistic = 1.66

Answer:

96m

Step-by-step explanation:

Answer:

The correct answer is 48 m.

Step-by-step explanation:

To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.

I also had a quiz on this and I got it correct after I checked my work. Have a good one mate

Answer:

9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)

Area of little square:

2 x 2 = 4

Area of two triangles:

2 x 2 = 4

4 divided by 2 = 2

5 x 2 = 10

10 divided by 2 = 5

The summed up area's of triangles:

5 + 2 = 7

7 + 4(little square's area)  = 11

11 + 31.5 = 42.5

Answer:

[tex]a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8[/tex]

Answer: 571.11111...(Fraction: 9/28)

Step-by-step explanation:

5,140÷9 = 571.11111...

Answer:

33

Step-by-step explanation:

48 - 15 = 33

Answer:

33??

Step-by-step explanation:

The percentage of the total marks that Edet gets is 60%

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this situation, the score of Edet will be:

= 48 + 52 + 46 + 46 + 44 + 52

= 288

Total score = 80 × 6

= 480

The percentage will be:

= 288 / 480 × 100

= 60%

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Answer:

radian

Step-by-step explanation:

1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.

36 deg

1/10 of a circle is equal to 36 deg.

Answer:

14

Step-by-step explanation:

5 quarts = 10 pints

10 pints + 4 pints = 14 pints

Answer:

tan =opposite divided by adjacent

therefore tan j is 11÷60 = 0.1833

tan-1 0.1833= 10.39

so tan j is 10.39

tan l is 60 ÷11 = 5.4545

tan-1 5. 4545= 79.61

hope it made sense

Answer: x = 9

Step-by-step explanation: To find the value of x, we must understand a few things:

- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.

Now, with that out of the way, I have one more thing to explain.

- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:

22 - 4 = ?

? = 18

18 / 2 = ?

?(x) = 9

Therefore, x = 9

We can check our answer by doing:

| 2(9) + 4 | = 22

2 x 9 = 18

18 + 4 = 22

22 = 22

So, both answers add up, so x = 9

I hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.

Step-by-step explanation:

Answer:

$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3

$14.40 for 3 dozen I'm pretty sure

Answer:

y=-5/6x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-7))/(-6-6)

m=(3+7)/-12

m=10/-12

simplify

m=-5/6

y-y1=m(x-x1)

y-(-7)=-5/6(x-6)

y+7=-5/6x+30/6

y+7=-5/6x+5

y=-5/6x+5-7

y=-5/6x-2

Answer:

what's the question? I don't know

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Answer:

A. B is 1.194; It is a growth factor.

Step-by-step explanation:

I calculated it logically

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?

Amount Invested in Fund  A = x

Amount invested in Fund  B = x+7000

Profit from fund A = 0.04x

Profit from fund B = 0.02(x+7000)

0.04x +0.02(x+7000) = 500

0.04 +0.02x + 140 =500

Combine like terms

0.06 x =360

Divide both side by 0.06x

x = 360 /0.06

x = 6,000

Amount Invested in Fund A = x =6,000

Amount invested in Fund B = x+7000

Amount invested in Fund B = 6,000 + 7,000

Amount invested in Fund B = 13,000

Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.

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9514 1404 393

Answer:

  26.1 ft

Step-by-step explanation:

The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

Filling in the known values, we have ...

  sin(25°) = height/(50 ft)

  height = (50 ft)sin(25°) ≈ 21.1 ft

Added to the height at which you are holding the string, this becomes the total height of the kite.

  h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite

Answer:

5. F, G, L, and A are the vertices.

6. The answer is isosceles trapezoid.

If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid.

7. No. A trapezoid is a quadrilateral, and therefore must have an interior angle sum of 360 degrees.  Any obtuse angles must be offset by acute ones, unless they’re all right angles/it’s a rectangle.

91 + 91 + 91 + 91 = 364 > 360.

An obtuse angle always lies between 90° and 180°.

Step-by-step explanation:

Have a nice day!

Answer: 5 Hours

Step-by-step explanation:

Divide 6600 by the amount per 1.5 hours.

6600 / 1980 = 3.333

Multiply the answer by the 1.5 hours.

1.5 x 3.333 = 5

Answer:

14 cm

Step-by-step explanation:

The length of the line segment, LP is; 14 cm

From the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.

However, from the task content also, the point P is the point of intersection of the two diagonals.

On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;

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Answer:

No.

Step-by-step explanation:

This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.

Answer:thats your answer

Step-by-step explanation:

Step-by-step explanation: