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3 years ago

5. Simplify the expression 49. (1 point)

Mathematics

2 answers:

AveGali [126]3 years ago

6 0

Answer:

Step-by-step explanation:

the sign means square root

to find the answer find a number multiplied by itself to get 49

padilas [110]3 years ago

4 0

Answer:

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

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Find the larger of two consecutive integers if the larger is 149 less than twice the smaller.

snow_tiger [21]

Answer:

151

Step-by-step explanation:

Let x = the smaller integer and y = the larger integer.

We have two conditions:

(1) x + 1 = y

(2) y = 2x - 149 Substitute (1) into (2)

x + 1 = 2x - 149 Add 150 to each side

x + 150 = 2x Subtract x from each side

x = 150 Substitute into (1)

150 +1 = y

y = 151

The larger integer is 151.

<em>Check: </em>

(1) 150 + 1 = 151

151 = 151

(2) 151 = 2×150 -149

151 = 300 -149

151 = 151

4 0

4 years ago

Kendra has $6.00 in dimes and quarters. If she has 2 times as many quarters as dimes, how many of each coin does she have?

r-ruslan [8.4K]

Make a system of equations.

$\sf0.10d+0.25q=6$
$\sf~q = 2d$

Plug in 2d for 'q' in the first equation:

$\sf0.10d+0.25q=6$

$\sf0.10d+0.25(2d)=6$

Multiply:

$\sf0.10d+0.50d=6$

Combine like terms:

$\sf0.60d=6$

Divide 0.60 to both sides:

$\sf~d=10$

Now plug this into any of the two equations to find 'q':

$\sf~q = 2d$

$\sf~q = 2(10)$

$\sf~q = 20$

So she has 10 dimes and 20 quarters.

6 0

4 years ago

Read 2 more answers

When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your f

Vikentia [17]

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

$P(A) = 0.0286 + 0.1*0.9714 = 0.12574$

Probability of you winning and fireworks going off:

100% of 1/35, so $P(A \cap B) = 0.0286$

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275$

0.2275 = 22.75% probability that you actually won that round

8 0

3 years ago

Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, ridin

Juli2301 [7.4K]

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

4 0

3 years ago

−5(x + 4) + 21 ≥ −3 + 4(x − 8)

wariber [46]

Step-by-step explanation:

-5x - 20 +21 > - 3 +4x - 32

-5x +1 > 4x - 35

-5x +4x > - 35 +5

-1x>-30

Divide by - 1

x >30

Am I right??

8 0

3 years ago

Read 2 more answers