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
attashe74 [19]
2 years ago
13

Isaiah spent $19.60 on a gift for his mother. The amount that he spent on the gift was 5/7 of the total amount that he spent at

the store. Which statements can be used to find x, the total amount that Isaiah spent at the store? Check all that apply
Mathematics
2 answers:
jek_recluse [69]2 years ago
7 0
5/7 of the total amount = 19.60

5/7x = 19.60...with x being the total amount
x = 19.60 * 7/5
x = 137.20 / 5
x = 27.44
mina [271]2 years ago
4 0

Answer:

Total amount that Isaiah spent at the store is  $27.44 .

Step-by-step explanation:

As given

Isaiah spent $19.60 on a gift for his mother.

The amount that he spent on the gift was \frac{5}{7} of the total amount that he spent at the store.

As x represented the  the total amount that Isaiah spent at the store .

Equation becomes

\frac{5}{7}\times x = 19.60

\frac{5x}{7} = 19.60

\frac{7\times 19.60}{5} = x

\frac{7\times 19.60}{5} = x

\frac{137.2}{5} = x

x  = $27.44

Therefore the total amount that Isaiah spent at the store is  $27.44 .

You might be interested in
Mrs.Steffen’s third grade class has 30 students in it. The students are divided into three groups(numbered 1, 2,and 3),each havin
qaws [65]

Answer:

a. \\ 10! = 3628800;

b. \\ 10!*10!*10! = 47784725839872000000 = 4.7784725839872*10^{19}

Step-by-step explanation:

We need here to apply the <em>Multiplication Principle </em>or the <em>Fundamental Principle of Counting</em> for each answer. Answer <em>b</em> needs an extra reasoning for being completed.

The <em>Multiplication Principle</em> states that if there are <em>n</em> ways of doing something and <em>m</em> ways of doing another thing, then there are <em>n</em> x <em>m</em> ways of doing both (<em>Rule of product</em> (2020), in Wikipedia).

<h3>In how many ways can ten students line up? </h3>

There are <em>ten</em> students. When one is selected, there is no other way to select it again. So, <em>no repetition</em> is allowed.

Then, in the beginning, there are 10 possibilities for 10 students; when one is selected, there are nine possibilities left. When another is selected, eight possibilities are left to form the file, and so on.

Thus, we need to multiply the possibilities after each selection: that is <em>why</em> the <em>Multiplication Principle</em> is important here.

This could be expressed mathematically using n!:

\\ n! = n * (n-1)! * (n-2)! *...* 2*1.

For instance, \\ 5! = 5 * (5-1)! * (5-2)! *...*2*1 = 5 * 4 * 3 * 2 * 1 = 120.

So, for the case in question, the <em>ten</em> students can line up in:

\\ 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3628800 ways to line up in a single file.

<h3>Second Question</h3>

For this question, we need to consider the former reasoning with extra consideration in mind.

The members of Group 1 can occupy <em>only</em> the following places in forming the file:

\\ G1 = \{ 1, 4, 7, 10, 13, 16, 19, 22, 25, 28\}^{th} <em>places</em>.

The members of Group 2 <em>only</em>:

\\ G2 = \{ 2, 5, 8, 11, 14, 17, 20, 23, 26, 29\}^{th} <em>places</em>.

And the members of Group 3, the following <em>only</em> ones:

\\ G3 = \{ 3, 6, 9, 12, 15, 18, 21, 24, 27, 30\}^{th} <em>places.</em>

Well, having into account these possible places for each member of G1, G2 and G3, there are: <em>10! ways</em> for lining up members of G1; <em>10! ways</em> for lining up members of G2 and, also, <em>10! ways</em> for lining up members of G3.

After using the <em>Multiplication Principle</em>, we have, thus:

\\ 10! * 10! * 10! = 47784725839872000000 = 4.7784725839872 *10^{19} <em>ways the students can line up to come in from recess</em>.

3 0
2 years ago
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
saul85 [17]

Answer:

y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

we have

m=\frac{1}{2}

(5,1)

substitute

y-1=\frac{1}{2}(x-5)

5 0
2 years ago
Read 2 more answers
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
olasank [31]
K is equal to 4 because g(x) is a parrallel line to f(x)
5 0
2 years ago
Read 2 more answers
Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on
kotegsom [21]

Answer:

The population density is 150 persons per square mile

Step-by-step explanation:

Firstly, we need to calculate the area of the trapezoid.

Mathematically, the area of a trapezoid is

(a+b)/2 * h

from the grid, we can obtain the lengths

on the x-axis , each line is 40(200/5 thin lines)

on the y-axis, each thin line also is 40(200/5 thin lines)

thus a = (8 * 40) = 320

b = (10* 40) = 400

h = (3 * 40) = 120

Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units

since each unit = 1 mile, the area of Tennessee = 43,200 units

The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile

3 0
2 years ago
Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number
Orlov [11]

That would be a false statement

6 0
2 years ago
Other questions:
  • Compare partial products and regrouping. describe how the methods are alike and different
    12·2 answers
  • Which two-bedroom will cost the most to rent monthly assume that electric is $50 and gas is $69?
    7·1 answer
  • Larry has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, which
    12·1 answer
  • A- 5.57<br> B- 41<br> C-12<br> D-21.71
    7·1 answer
  • 62% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
    9·1 answer
  • circle o is inscribed in triangle rst such that it is tangent at points m,n, and p. if rp is 7, rt is 17 and sm is 5, then what
    14·1 answer
  • the area of a rectangular field is 18000m^2 if the ratio of length and breath is 5:4 find its perimeter
    8·1 answer
  • Which of the following completes the proof?
    8·2 answers
  • Victor has been wrongfully accused of helping a gorilla escape from the zoo. The probabilities of the court rulings are as follo
    15·1 answer
  • ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!