answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex17521 [72]
1 year ago
10

Jeff and his family are driving to visit his grandmother they have driven about 30 miles which is about 2/3 of the way how much

farther do they have to go
Mathematics
1 answer:
Scilla [17]1 year ago
3 0

Answer:  15 miles

<u>Step-by-step explanation:</u>

2/3 of the way is 30 miles

Let x represent the total distance to grandmother's house, then

\quad \dfrac{2}{3}x=30\\\\\rightarrow 2x=90\\\\\rightarrow x = 45


Since the total distance is 45 and they have already driven 30 miles, there is 15 miles to go

You might be interested in
TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip,
Natalija [7]

Answer:

Sophie will get <u>$56</u> in exchange.

Step-by-step explanation:

Given:

TravelEz sells dollars at a rate of ($1.40)/(1 euro).

And dollars they buy at a rate of ($1.80)/(1 euro).

Sophie exchanged $540 to get 300 euros, at the beginning of trip.

And, she is left with 40 euros at the end of trip.

So exchanges the euros back to dollars.

Now, to find the dollars Sophie will get in exchange.

Let the dollars Sophie will get in exchange be x.

The rate at which TravelEz sells dollars = \frac{\$1.40}{1\ euro}

Number of euros Sophie is left with = 40.

Now, to get the dollars she will get we set proportion:

<em>As, </em>\$1.40<em> is equivalent </em>1\ euro<em>.</em>

<em>So, </em>x<em> is equivalent to </em>40\ euros<em>.</em>

Thus,

\frac{1.40}{1} =\frac{x}{40}

By cross multiplying we get:

56=x

x=\$56.

Therefore, Sophie will get $56 in exchange.

5 0
2 years ago
What is 3.242424 as a mixed number
kicyunya [14]

Answer:

Step-by-step explanation:

The answer is 3 /8/33.

step by step explanation

First, we can write:

x

=

3

.

¯¯¯¯

24

Next, we can multiply each side by

100

giving:

100

x

=

324

.

¯¯¯¯

24

Then we can subtract each side of the first equation from each side of the second equation giving:

100

x

−

x

=

324

.

¯¯¯¯

24

−

3

.

¯¯¯¯

24

We can now solve for

x

as follows:

100

x

−

1

x

=

(

324

+

0

.

¯¯¯¯

24

)

−

(

3

+

0

.

¯¯¯¯

24

)

(

100

−

1

)

x

=

324

+

0

.

¯¯¯¯

24

−

3

−

0

.

¯¯¯¯

24

99

x

=

(

324

−

3

)

+

(

0

.

¯¯¯¯

24

−

0

.

¯¯¯¯

24

)

99

x

=

321

+

0

99

x

=

321

99

x

99

=

321

99

99

x

99

=

3

×

107

3

×

33

x

=

3

×

107

3

×

33

x

=

107

33

Now, we can convert this improper fraction to a mixed number:

x

=

107

33

=

99

+

8

33

=

99

33

+

8

33

=

3

+

8

33

=

3

8

33

3

.

¯¯¯¯

24

=

3

8

33

6 0
1 year ago
Read 2 more answers
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
mixer [17]

Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .
mixas84 [53]

Answer:

x=7.5

y=1.5

Step-by-step explanation:

x + y = 9.0

subtract x from both sides

y=9-x

0.50x + 0.20y= 4.05

0.50 x +0.20(9-x)= 4.05

0.50x+1.8-0.2x= 4.05

combine like terms

0.30x+1.8= 4.05

subtract 1.8 from both sides

0.30x=2.25

divide both sides by 0.3

x=7.5

y=9-x

y=9-7.5

y=1.5

4 0
1 year ago
Need help asap. Consider the diagram.
fgiga [73]

ANSWER

<em>alternate interior angles theorem</em>

EXPLANATION

According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.

From the above diagram line r is parallel to line s, therefore

\angle \: 3 \cong \angle6

and

\angle \: 4\cong \angle5

because they are alternate interior angles.

See attachment for how to spot alternate interior angles.

5 0
1 year ago
Read 2 more answers
Other questions:
  • A praying mantis is an interesting insect that can rotate its head 180 degrees.Suppose the praying mantis at the right is 10.5 c
    13·2 answers
  • Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change. The sandwich cost $7.75 and sales tax was $
    9·2 answers
  • The Carson family paid $192 for two adult and three youth tickets to an amusement park. At the same park, the Davis family paid
    5·2 answers
  • Based on the diagram, which expresses all possible lengths of segment AB?
    9·2 answers
  • You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
    8·1 answer
  • Which of the following options best describes the solution process and solution(s) for the quadratic equation?
    14·1 answer
  • If the average (arithmetic mean ) of 2,7, and x is 12, what is the value of x?
    8·2 answers
  • If sin Θ = negative square root 3 over 2 and π &lt; Θ &lt; 3 pi over 2, what are the values of cos Θ and tan Θ? cos Θ = negative
    10·2 answers
  • Two identical square pyramids were joined at their bases to form the composite figure below. 2 square pyramids have a base of 24
    10·2 answers
  • A student has an allowance of $20 a week. He wants to buy lunch at school for $3.50 everyday. Does this student have enough mone
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!