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pishuonlain [190]
3 years ago
7

If Rosa walks 3 miles in 40 minutes, then Rosa will walk how far in 70 minutes if she walks at the same

Mathematics
2 answers:
anygoal [31]3 years ago
7 0

Answer:

5.3 miles

Step-by-step explanation:

3miles/40min =x miles/70min

cross multiply the fractions

3*70 = 40*x

210=40x

divide by 40 on both sides

210/40 = 5.25

pychu [463]3 years ago
5 0

Answer:

5.25 miles.

Step-by-step explanation:

1) Rosa spends 10 minutes in 3/4=0.75 miles, then

2) Rosa can spend 70 in 0.75*7=5.25 miles.

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A or B or C or D which expression??​
zhenek [66]

Answer:

option A

Step-by-step explanation:

Notice that you need to emulate the series: 1 + 5 + 25 + 125 + 625 (a five total term series)

with the indicated sums.

The first term in the your series (addition) has to be "1". This fact already gets rid of two of the suggested sums (B, and D) because their first term is 5^1=5.

So, now analyzing the options A and C, we notice that A has a sum from i=0 to 4 (which gives a total of five terms ao, a1, a2, a3, and a4, while option C has a total of six terms (from i = 0 to 5): a0, a1, a2, a3, a4, a5.

S, the obvious candidate is option A. So now evaluate the five terms corroborating that:

5^0 + 5^1+5^2+5^3+5^4=\\=1+5+25+125+625

Therefore, option A is the answer

5 0
3 years ago
I need help with this question
Rudiy27
Since the angle is positive, you can find any coterminal angle by applying:


Angle + x = 2π ==> 7π/6 + x = 2π ==> x = 2π - 7π/6

x= 12π/6 -7π/6 = 5π/6

So the angle 5π/6 is the coterminal of 7π/6
8 0
3 years ago
A stereo store is offering a special price on a complete set ofcomponents (receiver, compact disc player, speakers, cassette dec
Korvikt [17]

Answer:

Step-by-step explanation:

(a)

The number of receivers is 5.

The number of CD players is 4.

The number of speakers is 3.

The number of cassettes is 4.

Select one receiver out of 5 receivers in 5C_1 ways.

Select one CD player out of 4 CD players in 4C_1 ways.

Select one speaker out of 3 speakers in 3C_1 ways.

Select one cassette out of 4 cassettes in 4C_1 ways.

Find the number of ways can one component of each type be selected.

By the multiplication rule, the number of possible ways can one component of each type be selected is,

The number of ways can one component of each type be selected is

=5C_1*4C_1*3C_1*4C_1\\\\=5*4*3*4\\\\=240

Part a

Therefore, the number of possible ways can one component of each type be selected is 240.

(b)

The number of Sony receivers is 1.

The number of Sony CD players is 1.

The number of speakers is 3.

The number of cassettes is 4.

Select one Sony receiver out of 1 Sony receivers in ways.

Select one Sony CD player out of 1 Sony CD players in ways.

Select one speaker out of 3 speakers in ways.

Select one cassette out of 4 cassettes in 4C_1 ways.

Find the number of ways can components be selected if both the receiver and the CD player are to be Sony.

By the multiplication rule, the number of possible ways can components be selected if both the receiver and the CD player are to be Sony is,

Number of ways can one components of each type be selected

=1C_1*1C_1*3C_1*4C_1\\\\=1*1*3*4\\\\=12

Therefore, the number of possible ways can components be selected if both the receiver and the CD player are to be Sony is 12.

(c)

The number of receivers without Sony is 4.

The number of CD players without Sony is 3.

The number of speakers without Sony is 3.

The number of cassettes without Sony is 3.

Select one receiver out of 4 receivers in 4C_1 ways.

Select one CD player out of 3 CD players in 3C_1 ways.

Select one speaker out of 3 speakers in 3C_1 ways.

Select one cassette out of 3 cassettes in 3C_1 ways.

Find the number of ways can components be selected if none is to be Sony.

By the multiplication rule, the number of ways can components be selected if none is to be Sony is,

=4C_1*3C_1*3C_1*3C_1\\\\=108

[excluding sony from each of the component]

Therefore, the number of ways can components be selected if none is to be Sony is 108.

(d)

The number of ways can a selection be made if at least one Sony component is to be included is,

= Total possible selections -Total possible selections without Sony

= 240-108

= 132  

Therefore, the number of ways can a selection be made if at least one Sony component is to be included is 132.

(e)

If someone flips the switches on the selection in a completely random fashion, the probability that the system selected contains at least one Sony component is,

= \text {Total possible selections with at least one Sony} /\text {Total possible selections}

= 132  / 240

= 0.55

The probability that the system selected contains exactly one Sony component is,

= \text {Total possible selections with exactly one Sony} /\text {Total possible selections}\frac{1C_1*3C_1*3C_1*3C_1+4C_11C_13C_13C_1+4C_13C_13C_13C_1}{240} \\\\=\frac{99}{240} \\\\=0.4125

Therefore, if someone flips the switches on the selection in a completely random fashion, then is the probability that the system selected contains at least one Sony component is 0.55.

If someone flips the switches on the selection in a completely random fashion, then is the probability that the system selected contains exactly one Sony component is 0.4125.

6 0
3 years ago
How do you multiple fractions
Diano4ka-milaya [45]
Fractions they are easy REALLY!!

5 0
3 years ago
Read 2 more answers
Are the two figures congruent (I don’t know if they are because one is rotated)
Vladimir79 [104]

Answer:

Yes they are

Step-by-step explanation:

Conguent shapes are still conguent even if rotated and flipped. As long as their angles and length of sides are the same, they are congruent

4 0
3 years ago
Read 2 more answers
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