Answer:
7/8
Step-by-step explanation:
1. Make 1 9/8 into an improper fraction
1 = 8/8
8/8 + 9/8 = 17/8
2. Subtract
17/8 - 11/8 = 7/8
Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2 1/2 hours for the roundtrip, how many total miles did he bike?
Answer:
Let the distance from home to the park be x
Going to the park
Distance=vt
x=14t¹ ——(1)
Going back home
x=10t² ——(2)
Total time=t¹+t²
2.5=t¹+t²
Solving equ. 1 and 2 simultaneously
10x=140t¹
14x=140t²
Adding
4x=140(t¹+t²)
24x=140(2.5)
x=14.58 miles
Total distance= 2x
= 29.16miles
Step-by-step explanation:
write -7.08 as a mixed number or fraction in a simplest from
Answer:
7 2/5
Step-by-step explanation:
7.08 to improper fraction:
708/100
= 7 2/25
2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle
School
How many students at Hamilton Middle School have red hair?
Answer:
14 students
Step-by-step explanation:
We can set up a percentage proportion to find 2% of 700.
[tex]\frac{x}{700} = \frac{2}{100}[/tex], and we can use the cross products property to find the value of x.
[tex]700\cdot2=1400\\\\1400\div100=14[/tex]
Hope this helped!
Answer:
14 students
Step-by-step explanation:
If two percent of Hamilton Middle School students have red hair, it means that the number of students who have red hair is given by (0.02) * (700) =14 students.
Need help pls will give you a good rating.
Answer:
x+4
.....................
Answer
[tex] \boxed{x + 4}[/tex]
Option C is the correct option
Step by step explanation
Let's find the expression which represents the length of the box:
[tex] \mathsf{length \times width \times height \: of \: prism \: = \: volume \: of \: prism}[/tex]
[tex] \mathsf{lengh \times \: (x - 1) \times (x + 8) = {x}^{3} + 11 {x}^{2} + 20x - 32}[/tex]
[tex] \mathsf{length = \frac{ {x}^{3} + 11 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]
Write 11x² as a sum
[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]
Write 20x as a sum
[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)}}[/tex]
Factor out x² from the expression
[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)} }[/tex]
Factor out 12 from the expression
[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32x - 32 }{(x - 1)(x + 8)} }[/tex]
Factor out 32 from the expression
[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32(x - 1) }{(x - 1)(x + 8)} }[/tex]
Factor out x+1 from the expression
[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 12x + 32) }{(x - 1)(x + 8)} } [/tex]
Factor out 12x as a sum
[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 8x + 4x + 32) }{(x - 1)(x + 8)} }[/tex]
Reduce the fraction with x-1
[tex] \mathsf{ = \frac{ {x}^{2} + 8x + 4x + 32 }{(x + 8)} }[/tex]
Factor out x from the expression
[tex] \mathsf{ = \frac{x(x + 8) + 4x + 32}{(x + 8)} }[/tex]
Factor out 4 from the expression
[tex] \mathsf{ = \frac{x(x + 8) + 4(x + 8)}{x + 8} }[/tex]
Factor out x+8 from the expression
[tex] \mathsf{ = \frac{(x + 8)(x + 4)}{x + 8} } [/tex]
Reduce the fraction with x+8
[tex] \mathsf{ = x + 4}[/tex]
hence, x+4 is the expression that represents the length of a box.
Hope I helped!
Best regards!
please help!!
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Answer:
C
Step-by-step explanation:
A line parallel to a side of the triangle and it intersects the other two sides, then it divides those sides proportionally, that is
[tex]\frac{a}{b}[/tex] = [tex]\frac{d}{c}[/tex] → C
Calculate the means of the data sets below:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE A NSWER!!
High School Graduates 310, 290, 330, 305, 295, 310, 330, 340, 400, 360
College Graduates 460, 500, 480, 475, 505, 510, 490, 390, 410, 440
A. High School Graduates: 320 College Graduates: 477.5
B. High School Graduates: 327 College Graduates: 477.5
C. High School Graduates: 333 College Graduates: 466
D. High School Graduates: 327 College Graduates: 466
Answer:
D
Step-by-step explanation:
In 1 through 3, what is the relationship between the values of the given digits?
1. The 7s in 7,700
2. The 2's in 522
Answer:
7000 (7 thousand)
700 (7 hundred)
20 (2 tens)
2 (2 units)
Step-by-step explanation:
what is the relationship between the values of the given digits?
1. The 7s in 7,700
2. The 2's in 522
From the knowledge of place values;
7,700 could be broken down thus :
7000 + 700 + 0 + 0
The first 7 depicts thousands as it has 3 trailing digits (7000)
The second 7 depicts hundred as it has 2 trailing digits (700)
522 could be broken down thus :
500 + 20 + 2
From 522
The first '2' has one trailing digit = tens
The ending / last digit ia always = Unit value
Someone plz round 6.675 to the nearest hundredth
Answer:
6.68
Step-by-step explanation:
To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.
6.675 rounded to the nearest hundredth = 6.68
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer tennis?
The choose ( 0.25 )
Relative Frequency = Category Frequency / Total Frequencies
Category Frequency (prefer tennis) = 7
Total Frequencies = 28
Relative Frequency = 7 / 28
Relative Frequency = 0.25
I hope I helped you^_^
The relative relative frequency of survey members who prefer tennis is found to be 0.25.
Relative FrequencyWhat is relative frequency?The ratio of the total number of events that occur in a experiment to the number of times an event occurs is known as relative frequency.
Formula of relative frequency:Relative Frequency = Subgroup frequency/ Total frequency.
Calculation for relative frequency of tennis:Total frequency for the sports is 28.
The frequency for tennis is 7.
The relative frequency of survey members who prefer tennis =
total frequency for tennis/total frequency for all sports
Relative frequency = 7/28
= 0.25
Therefore, the relative frequency for the members who preferred playing tennis is 0.25
To know about frequency distribution, here
https://brainly.com/question/1094036
#SPJ2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 4
B. 10
C. 7
D. 6
Answer:
I think 10 is the correct answer.
What is the formula to find the area of the sector?
Answer:
There are 3 ways
Step-by-step explanation:
The formula for a sector's area is:
1. A = (sector angle / 360 ) * (pi *r2)
2. A = (sector angle / (2*pi)) * (pi * r2)
3. A = (fraction of the circle) * (pi * r2)
2^3*2^4=2^x
Solve for X PLZ HELP
Answer:
7
Step-by-step explanation:
if the bases of the exponents are the same then we can add the powers. so 2^3 * 2^4 = 2^7 = 128.
Answer:
7
Step-by-step explanation:
2^3⋅2^4= 2^7
2^7=2^x
since it had the same base you wouldn't need to worry about it you can just focus on the exponent.
7=x
swap it over
x=7
Complete the Magic Square.
Answer:
+5
Step-by-step explanation:
So you can see the 5 pattern, so you add 9+5= 14 which goes in the middle square and 14+5=18 in the left square
Now between 18 and 11 it is 7 so you subtract 7 which equals 4 then - 5= -1 then -5= -6
Answer:
4 5 9
11 6 1
3 7 8
Step-by-step explanation:
In a magic square, all rows, columns, and diagonals have the same sum.
Let's call the cells a - i this way:
a b c
d e f
g h i
Now lets's fill in what we have:
a b 9
11 6 1
g h i
2nd row: 11 + 6 + 1 = 18
3rd column: 9 + 1 + i = 18; i = 8
a b 9
11 6 1
g h 8
Main diagonal: a + 6 + 8 = 18; a = 4
4 b 9
11 6 1
g h 8
1st row: 4 + b + 9 = 18; b = 5
4 5 9
11 6 1
g h 8
1st column: 4 + 11 + g = 18; g = 3
4 5 9
11 6 1
3 h 8
2nd column: 5 + 6 + h = 18; h = 7
4 5 9
11 6 1
3 7 8
Identify whether each phrase is an expression, equation, or inequality.
Term
Phrase
Expression
3 - 53 =y
Inequality
7-5 <2.9
2 + 0
Equation
24"
t
Answer:
The identities of the terms are;
3 - 53 = y is an equation
7.5 < 2.9 is an inequality
2 + 0 is an expression
t is a term
24" is a term
Step-by-step explanation:
An equation is an expression with the equal to sign
3 - 53 = y is an equation
An inequality is a mathematical expression that contains an inequality sign
7.5 < 2.9 is an inequality
A term is a sole number or variable or the product of variables and numbers that come before and after mathematical operators such as +, ×, -, or ÷
t and 24" are terms.
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 3028 feet and Plane B is at an altitude of 4000 feet. Plane A is gaining altitude at 55.75 feet per second and Plane B is gaining altitude at 35.5 feet per second. How many seconds will pass before the planes are at the same altitude? seconds What will their altitude be when they're at the same altitude? feet
Consider plane A with respect to B,
initial relative Altitude [tex] h_{a, b}=h_a-h_b=-972 [/tex]
relative rate of altitude(speed) $r_{a,b}= 55.75-35.5=20.25$
To get at same altitude, they'll take same time, and their relative height will be $0$ So,
$H_{a,b}=h_{a,b}+r_{a,b}t$
$0=-972+20.25t$
$t=48$
and altitude will be, $3028+55.75\cdot 48=5704$
Answer:
48 seconds5704 feetStep-by-step explanation:
We can write equations for the altitude of each plane:
A(t) = 3028 +55.75t . . . . . initially at 3028 ft; gaining at 55.75 ft/s
B(t) = 4000 +35.5t . . . . . initially at 4000 ft; gaining at 35.5 ft/s
The two altitudes will be equal when ...
A(t) = B(t)
3028 +55.75t = 4000 +35.5t . . . . substitute the expressions for A and B
20.25t = 972 . . . . . . subtract 3028+35.5t
t = 48 . . . . . . . . . . . . divide by 20.25
The common altitude will be ...
B(48) = 4000 +35.5(48) = 5704 . . . . feet
The planes will both be at an altitude of 5704 feet after 48 seconds.
If QR = 3x; LM - 8x -17; and ST = 31 calculate LM.
Answer:
5
Step-by-step explanation:
The midsegment of a trapezoid is equal to one half the sum of the bases.
1. Set up the equation using the midsegment formula: 1/2 (QR + ST)
1/2 (3x + 31) = 8x - 17
2. Solve
1.5x + 15.5 = 8x - 17
32.5 = 6.5x
x = 5
Answer:
[tex]\huge \boxed{23}[/tex]
Step-by-step explanation:
QR < LM < ST
LM is the middle segment, it is in between the length of QR and ST.
LM is also the average or mean of QR and ST.
(QR+ST)/2 = LM
(3x+31)/2 = 8x-17
Multiply both sides by 2.
(2)(3x+31)/2 = (2)8x-17
3x + 31 = 16x - 34
Subtract 16x and 31 from both sides.
3x + 31 - 16x - 31 = 16x - 34 - 16x - 31
-13x = -65
Divide both sides by -13.
(-13x)/-13 = -65/-13
x = 5
Substitute x = 5 for LM.
8(5) - 17
40 - 17
= 23
The Gonzalez family drove from 10:38 am to 2:05 pm. How long did they drive?
Answer:
3 hours and 27 minutes
Step-by-step explanation:
2:05 pm = 14:05 hours
1 hour = 60 minutes
14:05 = 13 hours + 60 minutes + 5 minutes = 13 hours + 65 minutes
then:
13h 65m
- 10h 38m
= 3h 27m
they drive:
3 hours and 27 minutes
Will Mark Brainlest Help Please ,,,,
Step-by-step explanation:
from the second:
A=[3 -1]. -2B
[-5 0]
input this into 1
2([3 -1]) -(2B) -B =[1 3]
([-5 0]). [0 5]
[6 -2] -4B-B=[1 3]
[-10 0]. [0 5]
-5B=[1 3] -[3 -1]
[0 5]. [-5 0]
-5B= [1-3 3+1]
[0+5 5+0]
B= [-2/5 4/5]
[1 1]
A=[(19/5) (3/5)]
[-3. 2]
using the formula I derived
that's how I got A
∠4 and ∠6 can be classified as:
Answer:
same side interior angles
Step-by-step explanation:
<4 and <6 are same side interior angles
Same side interior angles are on the same side of the transversal and inbetween the two lines
I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.
Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.
Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.
This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.
To validate this code, or request further clarification, refer to this account.
Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.
HINTS:
"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.
Everything you need to complete this cipher is given here.
Only very basic math was used to encrypt this key (Multiplication and Division).
You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.
Best of luck
no cheating thanks <3
Solve for y in:y^(-2/3)=9
Answer:
y = 1/27
Step-by-step explanation:
[tex]y^{\frac{-2}{3}} = 9\\[/tex]
Cube both sides
[tex](y^{\frac{-2}{3}})^{3}=9^{3}\\\\y^{\frac{-2}{3}*3}=9*9*9\\\\y^{-2}=729\\\\\frac{1}{y^{2}}=729\\\\1=729*y^{2}\\\\\frac{1}{729}=y^{2}\\[/tex]
[tex]y^{2}=\frac{1}{27^{2}}\\\\y^{2}=(\frac{1}{27})^{2}\\[/tex]
y = 1/27
sam ran 63,756 feet in 70 minutes what is sams rate in miles per hour? (there are 5,280 feet in one mile)
Divide total feet by feet in a mile:
63,756/5280 = 12.075 miles
Divide 70 minutes by 60 minutes per hour:
70/60 = 1.166666 hours( round to 1.17)
Miles per hour = total miles/ total hours:
12.075/1.17 = 10.32 miles per hour
A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 84 feet and its width from left to right is 42 feet. Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (
Answer:
Step-by-step explanation:
Because of the nature of the information we are given, we have no choice but to use the equation
[tex]y=a(x-h)^2+k[/tex]
and solve for a.
We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:
[tex]0=a(21-0)^2+84[/tex] and simplifying a bit:
0 = 441a + 84 and
-84 = 441a so
[tex]a=-\frac{84}{441}=-\frac{4}{21}[/tex] Good, a is negative. Your equation is, then:
[tex]y=-\frac{4}{21}x^2+84[/tex]
Answer:
x² = -21y
Step-by-step explanation:
THIS IS THE RIGHT ANSWER I TOOK THE TEST
find the value of x
angle at center is twice angle at circumference
so therefore the lengths of WU and WV are proportional along with WC and WT.
WU / WV = WC / WT
4 / 2 = 11 / x
2 = 11 / x
x = 11 / 2 or 5.5 u
Hellllpppppp PLLLEASE! I need answer RIGHT NOW!!!!
Answer:
0.25 as a fraction is 25/100, which further simplified becomes 1/4
Marissa drew the triangle shown below.
Answer:
13.6
Step-by-step explanation:
tan(45)=x÷8.5
1.6=x/8.5
x=13.6
Use the law of sines
x/sin(45) = 8.4/sin(85)
x = sin(45)*8.4/sin(85)
x = 5.96238563941842
x = 6.0
I'm stuck, please help
Step-by-step explanation:
A).[tex] \frac{2}{ \sqrt{x} } [/tex]Using the rules of indices
[tex] \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]So we have
[tex] \frac{2}{ {x}^{ \frac{1}{2} } } [/tex]And also by the rules of indices
[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]Applying the rules to the above expression we have the final answer as
[tex]2 {x}^{ - \frac{1}{2} } [/tex]B).[tex] \frac{3}{ {x}^{2} } [/tex]By using the rules of indices
[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]Applying the rules to the above expression
We have the final answer as
[tex]3 {x}^{ - 2} [/tex]Hope this helps you
HELP ME PLEASE!!!! ITS DUE TODAY
Answer:
A: (draw figure 3 and on the right end add two more tiles on the top and bottom stack of tiles)
B: Figure 10 will have 20 tiles because each figure is increasing by 2 tiles.
Step-by-step explanation:
The figures are increasing by 2 so we can multiply 2 by 10 to get the number of tiles on the 10th figure.
Someone pls HELP MEEEE i’m giving the rest of my points away . i have like 20 mins to turn this in
Answer:
1) 27.89
2) 20
Step-by-step explanation:
#1)
9.5x + 75 --> 340
340 - 75 --> 265
265 / 9.5 = 27.89
#2)
120 / 6 =
20 minutes
the cost of cementing a wall 8 feet wide and 24 feet long at 14.40 a square yard is
will mark brainlist
Answer:
$307.20
Step-by-step explanation:
8×24=192
Convert 192 square feet to square yards, which is 21.3333
Then multiple: 21.333×14.40=307.1999
Then round to the nearest hundredths
The final answer is $307.20