Answer: 56.2 miles
Step-by-step explanation:
5.95+0-25x less or equal 20
0.25x less or equal 20 - 5.95
0.25x less or equal 14.05
X less or equal 14.05/0.25
X = 56.2
Katie can travel at most 56.2 miles in $20.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
According to the given question.
The total money Katie have = $20.
Amount charged by cab taxi for ride = $5.95
Charges for per mile ride = $0.25
Let Katie travel x miles without exceeding her expending limit.
From the given condition we get a inequality
[tex]20\geq 5.95+0.25x[/tex]
Solve the above inequality for x.
⇒[tex]20 - 5.95\geq 0.25x[/tex]
⇒ [tex]14.05\geq 0.25x[/tex]
⇒[tex]x\leq \frac{14.05}{0.25}[/tex]
⇒[tex]x\leq 56.2miles[/tex]
Katie can travel at most 56.2 miles in $20.
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PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Line 1 to Line 2:______________
Line 2 to Line 3:_______________
Answer:
The answer above me is correct!
Step-by-step explanation:
Give them BRAINLIEST! have a good day<3 :)
help me do this plz brainiest to whoever right
Answer:
3.16 miles
Step-by-step explanation:
Hi there!
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We're given that the campsite is located at (1,7) and the checkpoint station is located at (4,6). We must calculate the distance between them. Plug these points into the formula:
[tex]d=\sqrt{(x_2-1)^2+(y_2-7)^2}\\d=\sqrt{(4-1)^2+(6-7)^2}\\d=\sqrt{(3)^2+(-1)^2}\\d=\sqrt{9+1}\\d=\sqrt{10}\\d\approx3.16[/tex]
Therefore, the distance between the campsite and the checkpoint is 3.16 miles when rounded to the nearest hundredth.
I hope this helps!
Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)
Answer:
[tex]2 {b}^{2} - 5b - 63[/tex]
Step-by-step explanation:
[tex](b - 7) \times (2b + 9)[/tex]
[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]
[tex]2 {b}^{2} + 9b - 14b - 63[/tex]
[tex]2 {b}^{2} - 5b - 63[/tex]
b^3-21/5b+9 when b = 3
Answer:
-21b + 180 / 5
Step-by-step explanation:
Hey there!
b^3 - 21/5b + 9
= 3^3 - 21/5(3) + 9
= 27 - 63/5 + 9
= 72/5 + 9
= 117/5
Answer: 117/5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Calculate the area of this figure. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
The figure is divided into a rectangle and a right-triangle.
The area of the figure is the sum of the individual areas of the rectangle and triangle
Area of rectangle = Length x Width = 10 ft x 8 ft = 80 ft²
Area of triangle = 1/2 x Base X Height = 1/2 x 6 ft x 8 ft =24ft²
Hence, the area of the figure is:
80 ft²+ 24ft² = 104 ft²
Answer:
104 ft^2
Step-by-step explanation:
The figure consist a rectangle and a triangle
to calculate triangle's area we multiply height and base then divide it by two
the height of the triangle is 8 ft (the given is a special right triangle)
8*6/2 = 24 ft^2
to calculate the area of the rectangle we multiply width and length
8*10 = 80 ft^2 the total area of the figure is :
24 + 80 = 104 ft^2
Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.
General Arithmetic Terms
[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]
We want to find a8; we know:
a1 = 9d = 4Substitute in the formula.
[tex] \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}[/tex]
To find a8, substitute n = 8
[tex] \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}[/tex]
Hence, the 8th term of sequence is 37
The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.
A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7
Answer:
This is 3.747*11/sqrt(5)=18.4
the interval is (49.9,86.7), the SE added to and subtracted from the mean.
It is B
Thank You
divide 8 1/2 by the positive difference 4 4/5 and 7 7/10
[tex]\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}[/tex]
[tex]\\ \sf\longmapsto \dfrac{17(10)}{2(29)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{170}{58}[/tex]
[tex]\\ \sf\longmapsto \dfrac{85}{29}[/tex]
[tex]\\ \sf\longmapsto 2\dfrac{27}{29}[/tex]
Answer:
2 27/29Step-by-step explanation:
The positive difference is the result of subtraction of the smaller number from the greater number.
The positive difference of 4 4/5 and 7 7/10 is:
7 7/10 - 4 4/5 = 77/10 - 48/10 = 29/10Now division:
8 1/2 : 29/10 = 17/2 * 10/29 = 85/29 = 2 27/29Evaluate:
[tex] \int \limits^{2}_{1} { \sin }^{3} x. \cos(2x) dx[/tex]
hello, anyone can help me if you don't mind, I am getting confused.
Thanks, I really appreciate
Recall some identities:
sin²(x) + cos²(x) = 1
cos(2x) = cos²(x) - sin²(x)
and from the first identity, you can establish that
cos(2x) = 2 cos²(x) - 1
So, rewrite the integrand as much as possible in terms of cos(x) :
[tex]\sin^3(x) \cos(2x) = \sin(x) \sin^2(x) (\cos^2(x)-\sin^2(x)) \\\\ \sin^3(x) \cos(2x) = \sin(x) (1-\cos^2(x)) (2\cos^2(x) - 1)[/tex]
Then in the integral, substitute u = cos(x) and du = -sin(x) dx. With some rewriting, you end up with
[tex]\displaystyle \int_1^2 \sin^3(x) \cos(2x) \,\mathrm dx = -\int_{x=1}^{x=2} (1-\cos^2(x))(2\cos^2(x)-1) (-\sin(x)\,\mathrm dx) \\\\ = -\int_{u=\cos(1)}^{u=\cos(2)} (1-u^2)(2u^2-1)\,\mathrm du \\\\ = \int_{\cos(1)}^{\cos(2)} (1-3u^2+2u^4) \,\mathrm du \\\\ = \left(u-u^3+\frac25u^5\right)\bigg|_{\cos(1)}^{\cos(2)} \\\\ = \left(\cos(2)-\cos^3(2)+\frac25\cos^5(2)\right) - \left(\cos(1)-\cos^3(1)+\frac25\cos^5(1)\right) \\\\ = \boxed{\cos(2) - \cos^3(2) + \frac 25 \cos^5(2) - \cos(1) + \cos^3(1) - \frac25 \cos^5(1)}[/tex]
The sixth grade teachers bought food for a reward party. They purchased 64 bags of chips and 80 bottles of water . What is the largest number of students that can be invited to the party so they each get the same amount of chips and water?
Answer:
64
Step-by-step explanation:
Since each student must get the same amount of chips and water, the ratio of the number of chips to water received by each student is 1:1.
Hence, a maximum of 64 students can be invited to the party, as the bags of chips is lower than that of the number of bottles of water, and we take it as a 64.
someone to help me complete this and explain how to do it, please
42x2 y4 − 41xyz3
Answer:
use cymath
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.
Answer:
188 units cubed
Step-by-step explanation:
A garden table and a bench cost $853 combined. The garden table costs $47 less than the bench. What is the cost of the bench?
Answer:
the cost of the bench is $806
Step-by-step explanation:
853 minus 47 is 806
6 less than 8 times a number (x) is equal to 14
Answer:
8x-6=14
Step-by-step explanation:
Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.
LOUNGE SUITE FOR SALE Selling Price-R15 000 Deposit -15% of selling price Monthly Payments - R800 Repayment period 24 months calculate the loan amount
Answer:
610023626728387383838
0.189 divided by 1.75=
Explain your answer
Answer:
0.189x1000=189
1.75x1000=1750
189÷1750 = 0.108
y + (2/25) = 11/15
What’s y
Answer:
[tex]\frac{49}{75}[/tex]
Step-by-step explanation:
y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]
y= [tex]\frac{49}{75}[/tex]
Answer:
49/75
Step-by-step explanation:
y + 2/25 = 11/15
now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :
15y + 30/25 = 11
375y + 30 = 275
375y = 245
y = 245/375 = 49/75
the same result, of course, but a slightly different way to get there.
Simplify (3xy)^5/x^3
Answer:
[tex]243 {x}^{2} {y}^{5} [/tex]
Step-by-step explanation:
[tex] \frac{(3xy {)}^{5} }{ {x}^{3} } [/tex]
[tex] \frac{243 {x}^{5} {y}^{5} }{ {x}^{3} } [/tex]
simplify:
[tex]243 {x}^{2} {y}^{5} [/tex] ✅
What is the volume of the following rectangular prism?
Answer:
[tex]volume \: of \: rectangular \: prism = base \: area \: \times height \\ \\ = length \times width \times height[/tex]
What is the following difference?
230 192ab -5 V81365
work ou the value of 19+7÷2-5
helllppp pls
Answer:
17 1/2
Step-by-step explanation:
19+7÷2-5
Solve using PEMDAS
Divide first
19 + 7/2 -5
Then add and subtract from left to right
Getting a common denominator
38/2 + 7/2 - 10/2
45/2 - 10/2
35/2
17 1/2
2x + 3y = 6
The equation x + 2y = 16 is in standard form.
What is the slope of the line?
3y = -2x + 6
X-2
6
3
-1
y y=-3x +
y= - +
O
-0.5
+2
O
0.5
9514 1404 393
Answer:
(c) -0.5
Step-by-step explanation:
Starting from standard form ...
ax +by = c
and solving for y, we get the slope-intercept form ...
y = (-a/b)x +c/b
The coefficient of x is the slope: -a/b.
For your equation x+2y=16, the slope is -1/2 = -0.5.
evaluate the expression when x=3
Answer:
3. 15
6. 4
Step-by-step explanation:
Put 3 instead of x
3. 5x
= 5 × 3
= 15
6. 12 ÷ x
= 12 ÷ 3
= 4
Answer:
When X is 3 it will be
5(3)=15
Then for the second one it will be 12/3
The answer is 4
Hope I helped
is 9.407 a natrual number?
Answer:
Sorry about that, I did not see the decimal. As liamly said, it is positive but is not a natural number because of the decimal.
Step-by-step explanation:
4x-2=18x+5
Show ur work
Step-by-step explanation:
[tex]4x - 2 = 18x + 5[/tex]
Collect like terms and simplify
[tex] - 2 - 5 = 18x - 4x \\ - 7 = 14x[/tex]
Divide both sides of the equation by 14
[tex] \frac{ - 7}{14} = \frac{14x}{14} \\ - \frac{1}{2} = x[/tex]
Answer:
x = -1/2
Step-by-step explanation:
4x-2=18x+5
-2-5=18x-4x
-7=14x
-7/14=14/14x
-1/2=x
1.) A six-sided number cube is rolled, and the spinner
below is spun. Determine the probability of rolling a 3 and
spinning blue. (B=blue, R=red) Express your answer as a
fraction, a decimal, and a %.
Answer:
Step-by-step explanation:
The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.
Your chances of rolling a 3 are 1 in 6 = 1/6
Your chance of getting blue is 1/2
Your chances are 1/2 * 1/6 = 1/12
As a decimal that is 0.0833333
As a % it is 8.3333 %
Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution
Answer:
135
Step-by-step explanation:
250 x 54%=135
What is the value of (x – 3) if – 5(3x – 9) = -15?
The value of the required expression (x- 3 ) using the given equation -5(3x - 9) = -15 is equal to 1.
Let's solve for the value of "x" in the given equation:
-5(3x - 9) = -15
First, distribute the -5 on the left side of the equation:
-15x + 45 = -15
Now, subtract 45 from both sides to isolate the term with "x":
-15x = -60
Divide both sides by -15 to solve for "x":
x = 4
Now that we have the value of "x," we can find the value of (x - 3):
x - 3
= 4 - 3
= 1
Therefore, the value of (x - 3) is 1.
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solve the equation 6 = 5 x -2
Answer:
8/5 = x
Step-by-step explanation:
6 = 5x - 2
~Add 2 to both sides
8 = 5x
~Divide 5 to both sides
8/5 = x
Best of Luck!
Alguien me ayuda con esto?
Answer:
x=10
Step-by-step explanation:
10 a 8 son dos, entonces 14 ax es 4
Answer:
La explicación sería:
//////////////////////////
=> 9 * 2 + 4/2 = 20
=> 18 +2 =20
=> 20 =20
//////////////////////////
=> 5*2 + 8/2 = 14
=> 10 +4 =14
=> 14 =14
//////////////////////////
=> 3*2 + 10/2 = x
=> 6 + 5 = x
=> 11 = x