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Troyanec [42]
3 years ago
11

Which expression is equivalent to 7 2/3 ⋅ 7 1/4?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Recall that 7^a\cdot 7^b = 7^{a+b}

So now

7^{2/3} \cdot 7^{1/3}\\= 7^{\frac{2}{3}+\frac{1}{4}}\\=7^{\frac{8}{12}+\frac{3}{12}}\\=7^{11/12}

Whitepunk [10]3 years ago
4 0

•7 3/7 is equivalent to 7 2/3 • 7 1/4

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Solve the inequality <br> 52 - 3x &lt; -14
nata0808 [166]

Answer:

x>22

Step-by-step explanation:

Solve the inequality:

-3x<-14-52

-3x<-66

x>22

( You have to switch the sign because you are dividing by a minus)

6 0
2 years ago
The length of a rectangle is 3 inches longer than its width. If the perimeter of the rectangle is 54 inches, find it’s length an
dangina [55]

Answer: Length = 15, Width = 12

Step-by-step explanation:

L = length

W = width

L = W+ 3

perimeter = 2L + 2W

54 = 2(W+3) + 2W

54 = 2W + 6 + 2W

54 = 4W + 6

54 - 6 = 4W

48 = 4W

W = \frac{48}{4}

W = 12

now to find the length, plug the width into the equation L = W + 3

length:

L = W+3

L=12 +3

L = 15

6 0
2 years ago
amirah ,who is at a point P ,observes a boat at pont B 1200m from P in direction 047 degrees. The boat is moving due north of B
Luda [366]

Answer:

  about 2.81 km/h

Step-by-step explanation:

It can be useful to draw a diagram.

The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:

  PB/sin(C) = CB/sin(P)

  CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m

The speed of the boat is then ...

  x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h

6 0
3 years ago
Write a variable expression for this amount.<br> fourteen times x<br> Type the correct answer.
Ymorist [56]

Answer:

14x

Step-by-step explanation:

14x = 14 x (x) = 14(x)

3 0
3 years ago
A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per cu
jonny [76]

Answer:

Option B- The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

Given :

The function c(x)=50+5x  represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=100-2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.

To find : (p⋅c)(2) mean about the horse-drawn carriage tour company.

Solution :

(p.c) means we multiply the p(x) and c(x)

(p.c)(x)=p(x)\times c(x)

(p.c)(x)=(100-2x)(50+5x)

(p.c)(x)=5000+500x-100x-10x^2

(p.c)(x)=5000+400x-10x^2

Substitute the value of x=2

(p.c)(2)=5000+400(2)-10(2)^2

(p.c)(2)=5000+800-10(4)

(p.c)(2)=5800-40

(p.c)(2)=5760

The horse-drawn carriage tour company can expect to take in $5760.

The function c(x)=50+5x  represents price charged per customer.

For x=2

c(x)=50+5(2)  

c(x)=50+10  

c(x)=60

The charge per customer is $60.

Therefore, Option B is correct.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

3 0
3 years ago
Read 2 more answers
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