Write an expression to match the words: Mr. Ortiz’s age is the sum of 8 and 7, doubled.

3 1/2 - 1 1/3 x x= 1

slamgirl [31]

Answer:

The value of x for the given expression is $\frac{15}{8}$

Step-by-step explanation:

Given as :

The expression is written

3 $\dfrac{1}{2}$ - 1 $\dfrac{1}{3}$ × x = 1

Or, 1 $\dfrac{1}{3}$ × x = 3 $\dfrac{1}{2}$ - 1

Or, $\frac{(1\times 3) + 1}{3}$ × x = $\frac{(3\times 2) + 1}{2}$ - 1

Or, $\dfrac{4}{3}$ × x = $\dfrac{7}{2}$ - 1

Or, $\dfrac{4}{3}$ × x = $\dfrac{7-2}{2}$

Or, $\dfrac{4}{3}$ × x = $\dfrac{5}{2}$

∴ x = $\frac{\frac{5}{2}}{\frac{4}{3}}$

Or, x = $\frac{5\times 3}{2\times 4}$

I.e x = $\frac{15}{8}$

So, The value of x = $\frac{15}{8}$

Hence The value of x for the given expression is $\frac{15}{8}$ Answer

6 0

3 years ago

Q and r are independent events. if p(q) = 1/4 and p(r)=1/5, find p(q and r)

klasskru [66]

Answer:

(b) $\frac{7}{30}$

Step-by-step explanation:

When two p and q events are independent then, by definition:

P (p and q) = P (p) * P (q)

Then, if q and r are independent events then:

P(q and r) = P(q)*P(r) = 1/4*1/5

P(q and r) = 1/20

P(q and r) = 0.05

In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.

In the first ballot box there are 9 balls, 3 white and 6 yellow.

Then the probability of obtaining a white ball from the first ballot box is:

$P (W_{u_1}) = \frac{3}{9} = \frac{1}{3}$

In the second ballot box there are 10 balls, 7 white and 3 yellow.

Then the probability of obtaining a white ball from the second ballot box is:

$P (W_{u_2}) = \frac{7}{10}$

We want to know the probability of obtaining a white ball in both urns. This is: P( $W_{u_1}$ and $W_{u_2}$ )

As the events are independent:

P( $W_{u_1}$ and $W_{u_2}$ ) = P ( $W_{u_1}$ ) * P ( $W_{u_2}$ )

P( $W_{u_1}$ and $W_{u_2}$ ) = $\frac{1}{3}* \frac{7}{10}$

P( $W_{u_1}$ and $W_{u_2}$ ) = $\frac{7}{30}$

Finally the correct option is (b) $\frac{7}{30}$

3 0

2 years ago

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

Travka [436]

Answer:

120 miles

Step-by-step explanation:

we know that

The speed is equal to the distance divided by the time

Let

s------> the speed in mph

d-----> the distance in miles

t -----> the time in hours

s=d/t

solve for the distance

d=s*t

It will take Adam four hours to drive to Disney Park

s=x mph

t=4 h

substitute

d=4x -----> equation A

It will take Adam 2.5 times less time if driving 45 mph faster

so

s=(x+45) mph

t=4/2.5=1.6 h

substitute

d=1.6(x+45) -----> equation B

equate equation A and equation B

4x=1.6(x+45)

Solve for x

4x=1.6x+72

4x-1.6x=72

2.4x=72

x=30 mph

Find the distance d

d=4x -----> d=4(30)=120 miles

3 0

3 years ago

Read 2 more answers

PLEASE HELP !!!!! Solve. y +30 < 15

Troyanec [42]

Hello there! y < -15

To solve, isolate y. To do this, subtract 30 from both sides of the equation.

y + 30-30 < 15-30

y < -15

This is your final answer. The statement is saying that y must be less than -15 when you add 30 to it for your final answer to be less than 15.

I hope this was helpful and have a great rest of your day! :)

5 0

2 years ago

Read 2 more answers

Reflection across y = -x please I need help I will mark you brainless

tresset_1 [31]

Answer is
U= (-2,2)
V=(-2,4)
W= (-4,3)

Step by step
Find points for the triangle.
Using the rule for reflection across y axis.

The rule for a reflection over the y -axis is (x,y)→(−x,y)

U (2,2) ➡️ (-2,2)

V (2,4) ➡️ (-2,4)

W (4,3) ➡️ (-4,3)

4 0

1 year ago