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ale4655 [162]
2 years ago
8

PLEASE HELP SOLVE I WILL MARK AS BRAINLESS!​

Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

13) \: no \: of \: people = 2 \div  \frac{1}{8}  \\  = 2 \times  \frac{8}{1}   \\  = 16 \\  \\ 14) \: no \: of \: prizes \: won \: by\:Mallory \\  =  \frac{2}{ \cancel3}  \times  \cancel6 \\   = 2 \times 2 \\  = 4 \\  \\ 15) \: no \: of \: quart \: diced \: tomatoes \\  = 5 \frac{1}{4}  \times 1 \frac{2}{3}  \\  \\  =  \frac{ \cancel{21}}{4}  \times  \frac{5}{ \cancel3}  \\  \\  =  \frac{7}{4}  \times 5 \\  \\  =  \frac{35}{4}  \\  \\  = 8 \frac{3}{4}  \\  \\ 16) \: no \: of \: blocks = 123 \frac{1}{2}  \div 6 \frac{1}{2}  \\  \\  =  \frac{247}{2}   \div  \frac{13}{2}  \\  \\  =  \frac{247}{2}  \times  \frac{2}{13}  \\  \\  \frac{247}{13}  \\  \\  = 19

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The square of the sum of two consecutive natural numbers is greater than the sum of the squares of these two numbers by 112. fin
Verdich [7]
We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0; 
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
3 0
3 years ago
You invest $4000 at 7% compounded weekly for 4 years. How much is the investment worth at the end of the 4 years?
Licemer1 [7]

Answer:

$5291.52

Step-by-step explanation:

So... the equation is f(x) = P(1+r/n)ⁿᵗ where r is the rate, n is the number of times compounded in a year, and t is time in years

if you plug the numbers in, you get (4000)(1+.07/52)^(4×52), which gives you $5291.52

6 0
2 years ago
4/5 equivalent to 5/6
USPshnik [31]
It cannot be equivalent unless you can divide 5/6 into 4/5 and multiply 4/5 into 5/6, but you can't. You can only add both by one which doesn't make it equivalent in any way
8 0
3 years ago
Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
Helen [10]

Answer:

10

Step-by-step explanation:

This is the answer because:

1) First, insert all the numbers into the expression

Expression: I -2(2) + -3(2) I

2) Next, do -2 x 2 and -3 x 2

-2 x 2 = -4

-3 x 2 = -6

3) Then, do -4 + -6

-4 + -6 = -10

4) Finally, the absolute value of -10 is 10

Therefore the answer is 10

Hope this helps!

6 0
3 years ago
It cost Allison $5.80 to send 58 text messages. How much would it cost to send 40 text messages?
Vitek1552 [10]

Answer:

4$

Step-by-step explanation:
The ratio between the $5.80 spent for 58 text messages is $0.10. This means that each text message sent is $0.10. So you just multiply $0.10 and 40 text messages to find that it costs $4 to send 40 messages.

3 0
2 years ago
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