The given question is incomplete. The complete question is:
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?
Answer: Omar drove the truck for 5.15 miles
Step-by-step explanation:
Base fee = 17.95 $
Additional charge per mile = 98 cents = 0.98 $ ( 100cents = 1$)
Now Omar payed = 22 $
Let the miles he travelled = x
Now , [tex]17.95+0.98\times x=23[/tex]
Solvimg for x :
[tex]x=5.15miles[/tex]
Thus Omar drove the truck for 5.15 miles
A square underwent a dilation using a scale factor of 1:4. Find the missing side length, x, of the smaller square
Answer:
[tex]x= 3.5[/tex]
Step-by-step explanation:
Given
[tex]k =1:4[/tex] --- scale factor
See attachment for squares
Required
Find x
The corresponding side of length x on the bigger square is 14.
So, we have:
[tex]k = x : 14[/tex]
Equate both values of k
[tex]x : 14 = 1 : 4[/tex]
Express as fractions
[tex]\frac{x }{ 14 }= \frac{1 }{ 4}[/tex]
Solve for x
[tex]x= \frac{1 }{ 4} * 14[/tex]
[tex]x= \frac{14}{4}[/tex]
[tex]x= 3.5[/tex]
The volume of a square pyramid is 48 in^3 with a height of 4 inches. Find the length of one of the side of the base.
Answer:
6 inches
Step-by-step explanation:
area of square = 48 x 3 / 4 = 36 in^2
side = 6 in
Answer:
6 in
Step-by-step explanation:
The volume formula for a square-base pyramid of side length x and height h is V = (1/3)x²h. We want to solve this for the base side length x:
Multiplying both sides by (3/h) results in:
3V
----- = x² and so the side length, x, is √(3V/h).
h
Substituting 4 in for h and 48 in³ for V, we get: x = √(144 in³/4 in) = 6 in
Check: Does the volume formula given above result in 48 in³ when x = 6 in and h = 4 in?
V = (1/3)x²h = (1/3)(6 in)²(4 in) = 48 in³ YES: x = 6 in is correct.
Compare each set of rational numbers.
The area of the carpet is 48x^2y+16xy^2, if the width is 8xy inches, what is the length of the carpet?
Answer:
Step-by-step explanation:
(48x^2)(y) + (16x)(y^2).
This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.
Division rules are explained below.
I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.
48/8 = 6x^2 times y divided by 8xy equals x because x^2/x = x^(2-1), because x=x^1, and so, equals x; The same y^2/y. The other 2 y's and 2 x's cancel.
TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.
can somebody help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )
x = [tex]\sqrt{21}[/tex] → B
The median of 8 numbers is 4.5.Given that seven of the numbers are 9,2,3,4,12,13,1 find the eighth number
Answer:
5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
We rerange the number in 1,2,3,4,9,12,13
The median is 4, and a number x between 4 and 9.
We have 4.5 for median, which is the average of 4 and x.
(4 + x) /2 = 4.5
4 + x = 9
x = 5
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Answer: No image? Incomplete question? FREE POINTS!
Step-by-step explanation:
BRAINLIEST PLEASE!
find the area of this polygon
Answer:
answer is 65 in²
hope this helps
The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.
Answer:
[tex](a)\ Area = 3765.32[/tex]
[tex](b)\ Area = 4773[/tex]
Step-by-step explanation:
Given
[tex]A_1 = 169in^2[/tex] --- area of each square
[tex]Shade = 4in[/tex]
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
[tex]L^2 = A_1[/tex]
[tex]L^2 = 169[/tex]
[tex]L = \sqrt{169[/tex]
[tex]L=13[/tex]
The length of two squares make up the radius of the semicircle.
So:
[tex]r = 2 * L[/tex]
[tex]r = 2*13[/tex]
[tex]r = 26[/tex]
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
[tex]A_2 = 16 * 169[/tex]
[tex]A_2 = 2704[/tex]
The area of the semicircle is:
[tex]A_3 = \frac{\pi r^2}{2}[/tex]
[tex]A_3 = \frac{3.14 * 26^2}{2}[/tex]
[tex]A_3 = 1061.32[/tex]
So, the area of the window is:
[tex]Area = A_2 + A_3[/tex]
[tex]Area = 2704 + 1061.32[/tex]
[tex]Area = 3765.32[/tex]
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
[tex]Length = 4 * 13 + 8[/tex]
[tex]Length = 60[/tex]
[tex]Height = 4*13 + 4[/tex]
[tex]Height = 56[/tex]
The area is:
[tex]A_1 = 60 * 56 = 3360[/tex]
The radius of the semicircle becomes initial radius + 4
[tex]r = 26 + 4 = 30[/tex]
The area is:
[tex]A_2 = \frac{3.14 * 30^2}{2} = 1413[/tex]
The area of the shade is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 3360 + 1413[/tex]
[tex]Area = 4773[/tex]
solve for x round to your nearest tenth
can someone tell me the answer to this
Answer: W=12m
Step-by-step explanation:
There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there
Answer:
pepperoni pizzas = 8
cheese pizzas = 4
Step-by-step explanation:
let x = cheese pizza
2x + x + 1 = 13
3x = 13 -1
3x = 12
x = 4
pepperoni = 2x4 = 8
What is the probability that a randomly selected bottle is correctly placed and a Plastic #4 bottle?
A. 1/2
B. 1/3
C. 1/4
D. 1/6
Answer:
1/4
Step-by-step explanation:
What’s the opposite of -5/8
Find the surface area.
24 in.
40 in.
10 in.
26 in.
Answer:
100 i think
Step-by-step explanation:
PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?
Help me please and thank you
Answer:
c
Step-by-step explanation:
Can somebody help me
Answer:
25
Step-by-step explanation:
If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.
Write an equation in slope intercept form that represents the line shown?
Answer:
I think the answer would be Y=-2X+5
Hope it helps you *^*
-4(z + 3) - 4(5 - 4z) solution
Answer:
12z-32
Step-by-step explanation:
-4z-12-20+16z
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A would be the answer I would choose
Luba walked 5 miles in 1 1/2 hours. How fast did she walk in miles per hour?
A. 2/15 miles per hour
B. 9/10 miles per hour
C. 2 3/4 miles per hour
D. 3 1/3 miles per hour
Answer:
c or d sorry if I'm wrong
Step-by-step explanation:
I think it's your d because of the shortest answers and they're the only two that makes sense
Please help.
Is algebra.
Answer:
1 is C
2 is B
3 is C
Step-by-step explanation:
Answer:
give em brainliest because i have no idea
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x = 5 ; z = 70
Step-by-step explanation:
Vertical angles have the same degree measure
(13x + 45) = 110
13x + 45 = 110
-45 -45
13x = 65
/13 /13
x = 5
Complementary angles add up to 180°
110 + z = 180
-110 -110
z = 70
Answer:
X = 5º
Z = 70º
Step-by-step explanation:
So we know that vertical angles are congruent. So what we do to figure out x is set the equation equal to 110º because we are given that. And then we solve for x.
(13x + 45) = 110
13x + 45 = 110
-45 -45
----------------------
13x = 65
÷13 ÷13
---------------
x = 5
Now, we plug x into the equation. (13x5 + 45) = 110 so we know that x = 5
Now, we also know that a straight line equals 180º so what we do is subtract 110 from 180.
180 - 110= 70º
z = 70º
I need the answer fast please !
Answer:
30
Step-by-step explanation:
Angles on a straight line are equal to 180°
180°-120°= 60°
Sum of Co interior angles are equal to 180°
180°-60° =120°
90°+60°+ x = 180°
((180° - 90° - 60°= 30°))
PLEASE HELP ME PUT THEM IN ORDER
Answer
picture below of order. Not entirely
Step-by-step explanation:
Can someone pls help me ASAP I’ll give brainiest
Also show how u got the answer step by step pls
A square dance floor has a perimeter of 120 yards.
What is the length of a diagonal of the dance floor?
O 38.3 yd
O 30 yd
O 60 yd
O 42.4 yd
HELP ME UNSCRAMBLE THESE WORDS PLEASE!!! IGNORE THE SUBJECT I JUST DIDN'T KNOW WHAT TO PICK!! THANK YOU LOVELIES!!!
1) Play
2)Dribble
3)Paint
4)Center
5)Assists
6)Perimeter
7)Benchwarmer
8)Aboard
9)Technical
10)Rebound
11)Penalty
12)screen
13)Overtime
14)guard
15)? Host
16)Quarter
17) Bounce
18)Swish
19)Halftime
20)Backcourt
Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!Plz Help!
Answer: n=4
Step-by-step explanation:
Given
3n-(2+n)=6
Expand Parenthesis (REMEMBER TO CHANGE SIGNS)
3n-2-n=6
Combine like terms
2n-2=6
Add 2 on both sides
2n-2+2=6+2
2n=8
Divide both sides by 2
2n/2=8/2
n=4
Hope this helps!! :)
Please let me know if you have any questions
Answer:
4
Step-by-step explanation:
4 Is the Answer because you have to multiply 4 to all the N's. Which means you have to multiply 4 by 3 which equals 12. Then 2+4=6. Then you would do 12-6=6. There's your answer. Here is the equation if it were like the problem: 12 - (2+4). I'm sure you can figure out the rest. Thanks. If you find any fault in my answer let me know! Have a good day!