1answer.
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
Gennadij [26K]
3 years ago
7

A taxi charges a flat rate of 1.75, plus an additional 0.65 per mile. If Erika has at most 7.60 to spend on the cab ride, how fa

r could she travel
Mathematics
1 answer:
pshichka [43]3 years ago
4 0
First, we subtract 1.75 from 7.60.  This leaves us with 5.85 for miles.  We divide 5.85 by 0.65 to get the number of miles she could travel.  This gives us 9.  So, Erika could travel 9 miles.
You might be interested in
What is the median of the set of numbers?
Stels [109]

Answer:

C. 11

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The perimeter of a right triangle is 24 ft, and one of its legs measures 6 ft. Find the length of the other leg and the hypotenu
Mrrafil [7]

Answer:

Step-by-step explanation:

We know the perimeter of a triangle is the sum of all the sides( two legs and one hypotenuse).

By pythagoras we know that

h^2= a^2+b^2.

and the perimeter is P=h+a+b.

Since P=24 and a=6  we have these equations:

h^2=36+b^2\\24=h+6+b

From the last equation we have h=18-b. Replace h in the first equation we get that

(18-b)^2=36+b^2

18^2-36b+b^2=36+b^2\\288=36b\\b=\frac{288}{36}=8

and h=18-8=10

5 0
3 years ago
PLS HELP ME ASAP FOR 5, 6, and 7 (SHOW WORK!!) + LOTS OF POINTS!!
kobusy [5.1K]
Where the line touches the x-axis
8 0
3 years ago
A company purchases office furniture for $9,500 in 2009. In 2019, the company moves to a new location, and they need to sell the
Anarel [89]
Hello,
Please, see the attached file.
Thanks.

7 0
3 years ago
Read 2 more answers
QUESTION IN THE ATTACHMENT
eimsori [14]

Answer:

A. The sum of the first 10th term is 100.

B. The sum of the nth term is n²

Step-by-step explanation:

Data obtained from the question include:

Sum of 20th term (S20) = 400

Sum of 40th term (S40) = 1600

Sum of 10th term (S10) =..?

Sum of nth term (Sn) =..?

Recall:

Sn = n/2[2a + (n – 1)d]

Sn is the sum of the nth term.

n is the number of term.

a is the first term.

d is the common difference

We'll begin by calculating the first term and the common difference. This is illustrated below:

Sn = n/2 [2a + (n – 1)d]

S20 = 20/2 [2a + (20 – 1)d]

S20= 10 [2a + 19d]

S20 = 20a + 190d

But:

S20 = 400

400 = 20a + 190d .......(1)

S40 = 40/2 [2a + (40 – 1)d]

S40 = 20 [2a + 39d]

S40 = 40a + 780d

But

S40 = 1600

1600 = 40a + 780d....... (2)

400 = 20a + 190d .......(1)

1600 = 40a + 780d....... (2)

Solve by elimination method

Multiply equation 1 by 40 and multiply equation 2 by 20 as shown below:

40 x equation 1:

40 x (400 = 20a + 190d)

16000 = 800a + 7600. ........ (3)

20 x equation 2:

20 x (1600 = 40a + 780d)

32000 = 800a + 15600d......... (4)

Subtract equation 3 from equation 4

Equation 4 – Equation 3

32000 = 800a + 15600d

– 16000 = 800a + 7600d

16000 = 8000d

Divide both side by 8000

d = 16000/8000

d = 2

Substituting the value of d into equation 1

400 = 20a + 190d

d = 2

400 = 20a + (190 x 2)

400 = 20a + 380

Collect like terms

400 – 380 = 20a

20 = 20a

Divide both side by 20

a = 20/20

a = 1

Therefore,

First term (a) = 1.

Common difference (d) = 2.

A. Determination of the sum of the 10th term.

First term (a) = 1.

Common difference (d) = 2

Number of term (n) = 10

Sum of 10th term (S10) =..?

Sn = n/2 [2a + (n – 1)d]

S10 = 10/2 [2x1 + (10 – 1)2]

S10 = 5 [2 + 9x2]

S10 = 5 [2 + 18]

S10 = 5 x 20

S10 = 100

Therefore, the sum of the first 10th term is 100.

B. Determination of the sum of the nth term.

First term (a) = 1.

Common difference (d) = 2

Sum of nth term (Sn) =..?

Sn = n/2 [2a + (n – 1)d]

Sn = n/2 [2x1 + (n – 1)2]

Sn = n/2 [2 + 2n – 2]

Sn = n/2 [2 – 2 + 2n ]

Sn = n/2 [ 2n ]

Sn = n²

Therefore, the sum of the nth term is n²

6 0
3 years ago
Other questions:
  • Molly’s garden has a unit rate of
    13·2 answers
  • What is 552945 rounded to one hundred thousands
    13·1 answer
  • What is the value of X?
    6·2 answers
  • Write an inequality for the situation.
    5·2 answers
  • The scale of a railroad train set is 3.5 mm to 1 foot if the link of the model car in this it is 150 mm what is the approximate
    10·1 answer
  • Find the value of 5÷1 by2 solve​
    6·2 answers
  • HELP NOW!
    15·1 answer
  • Based on the graph, what could be the value of the discriminant?
    5·1 answer
  • Help please I’ll give brainliest if there’s evidence
    6·2 answers
  • What is the square root if 144000000?<br>step by step pls​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!