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docker41 [41]
3 years ago
7

Bonie has twice as many cousins as Robert.George has 5 cousins,wich is 11 less than Bonie has.How many cousins does Robert have?

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer:

8 cousins

Step-by-step explanation:

B = Bonnie=2*R

R = Robert

G = George = 5 = B -11 (add 11 on both sides of the equation)

B = 5 + 11 = 16 cousins

From B=2*R (substitute the value of B)

16=2*R (divide 2 on both sides of the equation)

R=16/2=8 cousins

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snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
Factor. 21x^2 -32x+12
baherus [9]
Through trial and error:
(7x-6)(3x-2)

Usually it works best to test out a number of possibilities :)
3 0
3 years ago
Hi can someone help me ty happy holiday days
earnstyle [38]

Answer:

128 ,  512,  2048

Step-by-step explanation:

5 0
2 years ago
TIMED HELP! Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the pro
Neko [114]

D. 11.75 + 3.299 + 5.31 + 6.27

Step-by-step explanation:

11.75 would round up to 12, 3.299 would round down to 3, 5.31 would round down to 5 and 6.27 would round down to 6

4 0
3 years ago
Read 2 more answers
Parvana record's the transactions for her bank account for the week . On Monday, she made a deposit of $45. On Tuesday she used
Andrews [41]

Answer:

The correct answer is +45; -18; -7.

Step-by-step explanation:

Parvana records the transactions for her bank account for the week .

On Monday, Parvana deposited $45. Thus Parvana made an addition of $45 in her account. Therefore a +45 integer is used to represent this transaction into her account.

On Tuesday she used her debit card to $18 for a new shirt. Thus Parvana made a deduction of $18 from her account. Therefore a -18 integer is used to represent this transaction into her account.

On Thursday she withdrew $7 from an ATM. Thus Parvana made a deduction of $7 from her account. Therefore a -7 integer is used to represent this transaction into her account.

Thus the integers +45; -18 and -7 are used to represent transactions in Parwana's account.

6 0
3 years ago
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