Since x=7 is a vertical line, the slope is undefined. To find an equation that is parallel, the slopes must be equal. Since the slope is undefined, the slope of the parallel line is also undefined. However answer is x=4.
According to Open Data Network, in 2016 there were approximately 3,737 people per square mile in Houston, Texas. If Houston, Texas is 600 square miles, approximately how many people lived in Houston, Texas in 2016?
Answer:
Number of people lived in Texas = 2,242,200
Step-by-step explanation:
Given:
People per square mile = 3,737
Area of Texas = 600 square mile
Find:
Number of people lived in Texas
Computation:
Number of people lived in Texas = People per square mile x Area of Texas
Number of people lived in Texas = 3,737 x 600
Number of people lived in Texas = 2,242,200
In the diagram, ∠XWY congruent to ∠ZWY. Find XY.
Answer:
10
Step-by-step explanation:
Let XY = a
Since,
XY + YZ = XZ
a + YZ = 24
YZ = 24 - a
By angle bisector property:
[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]
Question 1 of 6
Use the guess and check method to solve this problem.
Blue cassettes hold 45 minutes of music. Green cassettes hold 55 minutes
of music. If Niko has 14 cassettes containing 710 minutes of music, how
many are blue, and how many are green?
O
A. 6 blue cassettes and 8 green cassettes
B. 3 blue cassettes and 11 green cassettes
O O O
C. 5 blue cassettes and 9 green cassettes
O D. 4 blue cassettes and 10 green cassettes
Loo
Answer:
A
Step-by-step explanation:
6 blue cassettes × 45 min = 270 min
8 green cassettes × 55 min = 440 min
270 min + 440 min = 710 min
compare fractions
HELP, GIVING BRAINLIEST
Answer:
a) 5/6
b) 7/8
c) 3/4
Step-by-step explanation:
Draw models for the fractions provided and compare.
Hope this helps.
Answer:
5/6<6/7 3/4<5/6>7/8 2/3>3/4>7/12
Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dollar bills than 10 dollar bills. How many of each kind of bills does elizabeth have?
Answer:
Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so:
F+T = 15
T = 15-F
She has $120 total:
$120 = ($5)*F + ($10)*T
$120 = $5*F + ($10)*(15-F) [Substitute 15-F in place of T]
120 = 5F + 150 - 10F
-30 = -5F
6 = F
Check:
T= 15-F = 15=6 = 9
$120 = ($5)*6 + ($10)*9
$120 = $30 + $90
$120 = $120
Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.
EquationLet x represent the number of $10 bill, y represent the number of $5 bill and z represent the number of $1 bill. Hence:
10x + 5y + z = 101 (1)
Also:
y = x + 5 (2)
And:
z = 4x (3)
From equation 1, 2 and 3:
x = 4, y = 9, z = 16
Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.
Find out more on equation on: https://brainly.com/question/2972832
find the tenth term in each sequence -14, -6, -2, 0, 1
Answer:
Step-by-step explanation:
if y varies jointly as the square of x and the cube of z and inversely as the square root of w. When x = 2, z = 2, and w = 64, then y = 12. Find y when x = 1, z = 3, and w = 4.
Answer:
40.5
Step-by-step explanation:
if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;
y ∝ x²z³/√w
y = kx²z³/√w
If x = 2, z = 2, y = 12 and w = 64
Substitute;
12 = k (2)²(2)³/√64
12 = 32k/8
12 = 4k
k = 12/4
k = 3
To get y when x = 1, z = 3, and w = 4.
y = 3 (1)²(3)³/√4
y = (3*27)/2
y = 81/2
y = 40.5
Hence the value of y is 40.5
A line passes through the point (10,-8) and has a slope of -1/2. Write an equation in slope-intercept form for this line
Thirty percent of all the
drinks sold at the
concession stand were soda.
If 600 drinks were sold,
then how many drinks of
soda were sold?
Answer:
180 of the drinks sold were soda
Step-by-step explanation:
if we divide 600 by 0.30, which is 30%, we would get 180, so your answer would be 180.
A circle P is circumscribed about a regular hexagon ABCDEF
If segment AD is drawn, ADEF is a
Select one:
O a. rhombus
O b. rectangle
O c. trapezoid
O d. square
Answer:
C. Trapezoid
Step-by-step explanation:
A hexagon is a polygon with six sides, thus and six interior angles ABCDEF. After the segment AD (which is the diameter of the circle P) has been drawn, it divides the hexagon into two halves. With each half forming the shape of a trapezoid, so that ADEF is a trapezoid.
Thus, the appropriate option is C, trapezoid.
The difference between x and 2 is less than 9
Answer:
difference between x and 2
Step-by-step explanation:
x-2< 9
x< 11
to find the volume of something u can
Answer:
multiply length x width x height.
l x w x h
Use the fact that
5.7 X 4.3 = 24.51
to work out
57 X 4.3
Answer:
57 x 457 x 4.3 = 10 x (5.7 x 4.3) = 10 x 24.51 = 245.1
Step-by-step explanation:
If we look closely at the two equations you will see the following...
57 x 4.3 = 10 x (5.7 x 4.3)
(Since we know what 5.7 x 4.3 equals to we just substitute the value of 24.51 and get...)
57 x 4.3 = 10 x 24.51
57 x 4.3 = 245.1
a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?
Answer:
[tex]Tree = 17ft[/tex]
Step-by-step explanation:
Given
[tex]Wall = 4ft\ 3in[/tex]
[tex]Wall\ Shadow = 6ft[/tex]
[tex]Tree\ Shadow = 24ft[/tex]
Required:
Determine the height of the tree
To do this, we make use of the following equivalent ratios
Wall : Wall Shadow = Tree : Tree shadow
Substitute values for Wall, Wall Shadow and Tree Shadow
[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]
Convert all units to ft
[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]
[tex]4.25ft : 6ft = Tree : 24ft[/tex]
Convert to fractions
[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]
Cross Multiply
[tex]Tree * 6ft = 4.25ft * 24ft[/tex]
[tex]Tree * 6ft = 102ft^2[/tex]
Make Tree the subject
[tex]Tree = \frac{102ft^2}{6ft}[/tex]
[tex]Tree = \frac{102ft}{6}[/tex]
[tex]Tree = 17ft[/tex]
Hence, the tree is 17ft tall
1/3 divided by 4 3/4
Answer:
0.07017543859
Step-by-step explanation:
I hope this helps have a nice day!
Find the x- and y-intercepts of the graph of the equation.
x - 2y = 2
A ratio of two numbers a/b, where b is no zero
[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]
What is x in x - (-11) = -20
x is -31 because you had to add -11 and -20
A line passes through the point (8,-8) and has a slope of 3/4. Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y + 8 = 3/4(x - 8)
y + 8 = 3/4x - 6
y = 3/4x - 14
SUMO Some people believe that the N(555, 101)lbs distribution is not the correct model for sumo wrestlers’ weights. Their opinion is that the N(326, 80)lbs distribution is a better model. Manny Yarbrough, a former American sumo wrestling champion, weighed roughly 700 lbs.
If we use the N(555, 101)lbs model, would Manny’s weight be considered typical or unusually high?
i. There is a certain number that you would calculate and then use to answer the above question. Which of the following options is it?
a. (700-555)/sqrt(101) = 14.43
b. (555-700)/sqrt(101) = -14.43
c. 700/sqrt(101) = 69.65
d. (555-700)/101 = -1.44
e. (700-555)/101 = 1.44
f. 700-(3*101) = 397
g. 555-(3*101) = 252
Answer:
The answer is "Option e"
Step-by-step explanation:
use formula:
[tex]N(\mu\ , \ \sigma)= N(555,101)\\\\ \frac{N}{\mu}= 326\\\\\sigma=80\\\\\text{manny has weight}=700 \ lbs\\\\\to z-score= \frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{(700-555)}{101} \\\\ = \frac{(145)}{101} \\\\ = 1.44[/tex]
Find the 8th term of the geometric sequence 3, 12, 48, ....
Answer:
The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)
So, the required 8th term is 49152.
Geometric Series:The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.
The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]
And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]
The given series is,
3, 12, 48, ....
First term=3
The common ratio is,
[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]
So, the given series is geometric series so the 8th term by the above formula is,
[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]
Learn more about the topic Geometric Series:
https://brainly.com/question/26042879
11. Harvey the wonder hamster can run 3 1/4 km in 1/2 hour. If Harvey runs at a constant rate, how fast can he run in 1 hour. (Write your answer as a decimal.) *
Answer:
He runs 6.5 km in one hour.
Step-by-step explanation:
3 ¼ km per half hour = 6.5 km per hour.
Answer:
12 2/3
Step-by-step explanation:
there are 4 quarters to 1 hour
3 1/6 x 4 =
19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour
pls mark brainliest
Draw the proble. give me steps. Please
Answer:
I cant draw 4 u sry
Answer:
A. c = 3.5h + 15
Step-by-step explanation:
I can't exactly draw the problem BUT I can still help.
C represents the cost altogether but we do not know how much the total cost would be.
So we're paying $15 as a fee, no more from that.
Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.
Now, c = 3.5h + 15.
(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)
Is 16:14 equivalent to 64:60
Answer:
no
Step-by-step explanation:
64/16 = 4
60/14 = 4.28...
How can you use ratios to convert metric units of measure?
Answer:
We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.
Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.
Step-by-step explanation:
Solve the equation. Select all equivalent forms of the answer.
X-8= 5x + 3
[mark all correct answers]
a. -2.75
b. -0.36
c. -11
4
d. 1
e.
Please help!! Timed!! Brainliest for correct, multiple choice !
Answer:
its d)x=3.
Step-by-step explanation:
If we're finding the extrema using the vertex then its x=3
Can someone help me with this problem?
Answer:
Step-by-step explanation:
The dashed vertical line indicates that -3 is not included so x is greater than -3. The diagonal line is solid indicating that it is included so y is greater than or equal to -4x/5 -2. So it is second answer.
Arrange the following numbers in ascending order. (a) 5812214,
Answer:
1, 1, 2, 2, 4, 5, 8
Step-by-step explanation:
Hope this helps :)
Maybe brainliest?
Compare the wins-to-losses ratios for the teams.
Team Records
Team
Wins
Losses
Cougars
12
10
Bobcats
20
10
Bulldogs
8
5
Tigers
3
5
Which team has the greatest ratio of wins-to-losses?
Cougars
Bobcats
Bulldogs
Tigers
Answer:
Bobcats (i am assuming you need the team with the higest ratio of wins to losses)
Step-by-step explanation:
As a decimal cougars is 1.2 Bulldogs is 1.6 tgers is 0.6 and the largest is bobcats which os 2.0 so the answer is bobcats.
Answer:
B
Step-by-step explanation: