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gregori [183]
1 year ago
14

A zoo has a black rhinoceros that weighs 18 times as much as an average-size chimpanzee. The rhinoceros weighs 2,250 pounds.

Mathematics
1 answer:
Vinvika [58]1 year ago
8 0

Answer: 125 pounds

Step-by-step explanation:

Let's first represent the weight of the black rhinoceros and chimpanzee with variables. We will assign <em>r</em> for the rhinoceros and <em>c</em> for the chimpanzee.

In the question, we were given that the weight for a black rhinoceros is 18 times as much as an average-size chimpanzee. This makes 18 times the chimpanzee's weight equal to the rhinoceros' weight.

Let's put this into an equation.

r=18*c

Now, let's put in the values we know to find the weight of the chimpanzee (i.e., <em>c</em>). We know the weight of a rhinoceros (represented by <em>r</em>) is 2250 pounds, so we can replace it for <em>r</em> in the equation.

2250=18*c

To solve this equation, we can divide both sides by 18 to get c by itself and know what it's value is.

\frac{2250}{18}=\frac{18*c}{18}

We can remove the \frac{18}{18} from the right side to be left with c. We can also divide 2250 by 8 to get the weight of an average-size chimpanzee.

c=\frac{2250}{18}\\ c=125

Hence, an average-size chimpanzee weighs 125 pounds.

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Step-by-step explanation:

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3 years ago
The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
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\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}

let the number of

  • adults be x

  • children be y

Total number of people : adults + children

  • x + y = 240

  • x = 240 - y - [1]

Total money earned from adults :

  • 6 × x = 6x

Total money earned from children :

  • 2 × y = 2y

Therefore, total money = money earned from each Adult and children.

  • 6x + 2y = 1200 -[2]

Now, let's plug the value of x from equation [1] into equation [2]

  • 6 (240 - y) + 2y = 1200

  • 1440 - 6y + 2y = 1200

  • -4y = 1200 - 1440

  • -4y = - 240

  • y = 60

let's plug the value of y in equation [1]

  • x = 240 - y

  • x = 240 - 60

  • x = 180

Hence, we get :

  • total adults = x = 180

  • total children = y = 60

Correct option is C

_____________________________

\mathrm{ ☠ \: TeeNForeveR \: ☠}

7 0
3 years ago
Work out the highest common factor (HCF) of 18 and 30
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"Find the sum of the first 50 term in this sequence 4, 7, 10, 13, ...". How do i do this without writing them all out, and how d
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First term ,a=4 , common difference =4-7=-3, n =50
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=25× -171
= -42925
derivation of the formula for the sum of n terms
Progression, S
S=a1+a2+a3+a4+...+an

S=a1+(a1+d)+(a1+2d)+(a1+3d)+...+[a1+(n−1)d]   →   Equation (1)

S=an+an−1+an−2+an−3+...+a1

S=an+(an−d)+(an−2d)+(an−3d)+...+[an−(n−1)d]   →   Equation (2)

Add Equations (1) and (2)
2S=(a1+an)+(a1+an)+(a1+an)+(a1+an)+...+(a1+an)

2S=n(a1+an)
S=n/2(a1+an)

Substitute an = a1 + (n - 1)d to the above equation, we have
S=n/2{a1+[a1+(n−1)d]}
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5 0
3 years ago
Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin
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Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

  • A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

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Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

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→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

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∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

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