A cab company charges a $3.00 flat fee and $0.55 for each additional mile. James has
no more than $25.00 to spend on a ride. How many miles can James travel without
exceeding his spending limit?
find an inequality to solve, graph, and check, and finally write a sentence.


I know no one will do this for me, but please do.

Answer:

Yes

Step-by-step explanation:

I'm not good with explanations but, $1 = 4 quarters, so Emil and Jade

subtracted $1 from each pile and then added $1 to each pile.

Since they subtracted and added the same amounts to each

pile, the piles are equal in value.

Yes, both of them will have the same amount after exchanging the money.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Emil has $1 and a quarter. Jade has 5 quarters. If Emil gives Jade $1 and Jade gives Emil 4 quarters.

The amount can be balanced as below,

$1 = 4 quarters

E + 4 Quarters  = J + $1

E + $1 = J + $1

Hence, both will have the same amount.

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Answer:

5 dimes and 18 nickels

Step-by-step explanation:

5D + 18 N =

5 x 10 + 18 x 5 =

5 x.10 + 18 x 0.05=

.50 + .90=

$1.40

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer: the mean is 1.03

Step-by-step explanation: you multiple the days by the probability, 0 x .68= 0 1 x .05=.05 2 x .07=.14 and so on and you add what you get from multiplying them.

A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.

Since A ∩ B = {4, 6}, we have

A - B = {2, 8, 10}

Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.

(A - B)' = {1, 3, 4, 5, 6, 7, 9}

Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

See below.

Step-by-step explanation:

3n³-4n+3n+6n³=-3

9n³-n=-3

So the answer is C.

-hope it helps

Answer:

x=52   y=116

Step-by-step explanation:

because they give you the angle 116.

those two are actually equal.

y=116

since that is true, you can do 180-116=64.

now, you subtract 64-12

which is 52.

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

I think its linear so I dont know 100% but I think it's a sorry if I'm wrong

Answer:

linear

Step-by-step explanation:

it is in y=mx+b form. also it forms a straght line

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

Working out 20% of 30

If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is 20% of 30? how would you calculate it?

30 : 100 * 20 = 6

or

30 * 0.20 = 6

In linear equation, The number of customers who will pay by debit card will be 44.

Which equation is linear?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

16 + 33 + 6 = 55 customers.

That means that the fraction of the customers, who paid by debit card, was

6/55  

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

400  × 6/55 = 2400  /55  = 43.63 ≈ 44

Therefore the number of customers who will pay by debit card will be 44.

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Answer:

Step-by-step explanation:

You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.

The point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.

The tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...

  m = y/x = -4/4 = -1

The tangent line's slope is the opposite reciprocal of this:

  m = -1/(-1) = 1

The point-slope form of the equation for the tangent line is ...

  y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)

  y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)

  x -y = 8 . . . . . . . . . . add 4-y to put in standard form

The equation of the tangent line is x - y = 8.

In the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...

  y -0 = -1(x -0)

  y = -x

The equation of the normal line is y = -x.

__

Additional comment

The normal line can also be written as x + y = 0.

The tangent line can also be written as y = x -8.

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Answer:

The answer is (2a²b)(6ab)=12a³b².

Answer:

4

Step-by-step explanation:

You want a cookie?

Answer:

2+2 = 4

Step-by-step explanation:

1+1+1+1 = 4

Hope this helped!

mark me brainliest :D

Answer:

An employee's score in order to qualify for increase in the salary must be higher than 95.45.

Step-by-step explanation:

Let X represent the performance score of employees.

It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.

It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.

That is, the probability to qualify for increase in the salary is,

P (X > x) = 0.08

⇒ P (X < x) = 0.92

⇒ P (Z < z) = 0.92

The corresponding z-value is,

z = 1.40

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45\)

Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.

Answer:

See below

Step-by-step explanation:

\(\textbf{Part A: } \text{ If }h(x) = f (x) + g(x) \text{, solve for } h(x) \text{ in simplest form.}\)

We have

\( f (x) = \log_3(x) + 3 \)

and

\(g(x) = \log_3(x^3) - 1\)

Thus

\(h(x) = f (x) + g(x) = (\log_3(x) + 3) + ( \log_3(x^3) - 1) = \log_3(x) + 3 + \log_3(x^3) - 1\)

\(= \log_3(x) + \log_3(x^3) + 2\)

Recall the property of logarithms:

\(\boxed{\log_b(n\cdot m) = \log_b(n) + \log_b(m)}\)

then,

\(\log_3(x) + \log_3(x^3) + 2 = \log_3(x\cdot x^3) +2 = \boxed{\log _3(x^4)+2}\)

================================================================

\(\textbf{Part B: } \text{Determine the solution to the system of nonlinear equations of } f(x) \text{ and } g(x).\)

I am assuming that the system of equations is

\($\left \{ {{ f (x) = \log_3(x) + 3 } \atop {g(x) = \log_3(x^3) - 1}} \right$\)

and you probably want the solution when \(f(x)=g(x)\) I will name it \(y\), thus

\($\left \{ {{ f (x) = \log_3(x) + 3 } \atop {g(x) = \log_3(x^3) - 1}} \right \implies \left \{ {{y= \log_3(x) + 3 } \atop {y = \log_3(x^3) - 1}} \right$ \)

We should just solve

\(\log_3(x) + 3 = \log_3(x^3) - 1 \)

\(\log_3(x) - \log_3(x^3) = - 4\)

\(\log_3 \left(\dfrac{x}{x^3} \right) = - 4\)

\(\log_3 \left(\dfrac{1}{x^2} \right) = - 4\)

\(\log_3 (x^{-2}) = - 4\)

\(-2\log_3 (x) = - 4\)

\(\log_3 (x) = 2 \iff 3^2 = x \implies \boxed{x= 9} \)

Answer:

She covered 2.5 miles, she rode for 0.25 hours.

Step-by-step explanation:

0.25*10=2.5

Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

Therefore, the given interval is unbounded.

Inequality notation

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

To sketch the graph on a coordinate plane:

Answer: (2, 3)

Step-by-step explanation: This graph depicts a parabola. The vertex of a parabola is the point at the intersection of the parabola, and it is the line of symmetry. In other words, it is the point where the parabola crosses its axis of symmetry. Therefore, the ordered pair of (2, 3) represents the vertex of this graph.

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

61

Step-by-step explanation:

Answer:

36 players

Step-by-step explanation:

Total players = 48

Group 1 : Group 2

1:3

For Group 1:

=48X3÷4

=12

For Group 2:

=48X3÷4

=36

Group 1 players+Group 2 players=48 players

12+36=48

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

\(5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12\)

the, the area of the left triangle is

\(A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30\)

the area of the right triangle is

\(A_2=\frac{2*12}{2} \\A_2=12\)

and the area of the rectangle in the middle is

\(A_3=(13)(12)\\A_3=156\)

Por tanto, el area total sera

\(A=A_1+A_2+A_3\\A=30+12+156\\A=198\)

Step-by-step explanation:

Formula that you need to commit to memory :

  Area of ANY triangle = 1/2 * base * height

             area = 1/2 * 1.2 * . 6 = .36 m^2

Answer: area of the triangle is 0.36m

Step-by-step explanation:

The area of the triangle is mainly defined by the area enclosed by the three sides of any particular triangle. Basically, we calculate it as the area is equal to half of the base times height.

area of the triangle formula : A = 1/2  × b  ×  h

= 1/2 × 1.2m × 0.6 m

=1/2 x 0.72m

=0.36m

Therefore, the area of the triangle will be 0.36m for the base 1.2m and the  height 0.6m

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The first and third quartiles of x are 269.625 and 330.375 respectively.

The interquartile range is 61.11.

To get the first (Q1) and third (Q3) quartiles of a normally distributed dataset, use the following formulas:

Q1 = μ – (.675)σ

Q3 = μ + (.675)σ

μ -  denotes the population mean

σ - denotes the population standard deviation.

The first quartile represents 25% of a dataset and the third quartile represents 75% of a dataset.

Using Mean and Standard Deviation, we need to determine Quartiles

Assume we have a normally distributed dataset with and = 45.

The first and third quartiles of the dataset can be calculated using the following formulas:

Q1 = μ – (.675)σ = 300 – (.675)*45 = 269.625

Q3 = μ + (.675)σ = 300 + (.675)*45 = 330.375

This means that 25% of all values in the dataset are less than 269.625 and 75% of all values in the dataset are less than 330.375.

We may also calculate the interquartile range using these numbers:

IQR = Q3 - Q1 = 330.375 - 269.265

IQR = 61.11

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