Answer:
A=184
Step-by-step explanation:
Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.
Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
The numerical length of YZ is 13Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height. Which best explains whether or not the truck can pass safely under the bridge?
Answer:
144 + 5 = 149
162 - 49 = 113
The truck cannot pass saftely under the bridge.
I hope this is helpful!
Step-by-step explanation:
PLEASE SOLVE, IN A HURRY!!!
WILL NAME BRAINLIEST!!!!
Answer:
394 miles.
(its hard to explain but you need to spit 1356 and add 284 to one half)
Answer:
820
Step-by-step explanation:
Let us call the trip back x. The trip back is 284 miles smaller than the trip back, so our equation can be:
x + x + 284 = 1356
2x + 284 = 1356
2x = 1072
x = 536
The we do 536 + 284 because the trip there was 284 miles longer, so that is 820
What is the equation of the line?
2 1/2 + (-1/3)
PLz, help me with this question.
Answer:
2 1/6
Step-by-step explanation:
What the equation of this graph in slope-intercept form?
Answer:
y= 3/5x + 3
Step-by-step explanation:
slope= 3/5
y intercept= 3
Answer: [tex]y=\frac{3}{5} x+3[/tex]
Step-by-step explanation:
To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).
[tex]m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}[/tex]
Now that we know the slope, we can plug in any point to find the y-intercept.
[tex]3=\frac{3}{5} (0)+b[/tex] [multiply]
[tex]b=3[/tex]
Now, we know the equation is [tex]y=\frac{3}{5} x+3[/tex].
PLEASE HELP THIS HARD Ali deposits her weekly paycheck of $412.60 and withdraws $40 cash from her bank account each week. If her starting balance was $315.85, what is her balance after 3 weeks?
Answer:
Step-by-step explanation:
jjjj
prove y=6x-24 and y=1/6x +4 are inverse functions
Answer:
Answered
Step-by-step explanation:
Answer:
well you did the law of inverse on 6x you proved it by putting the one above it and switched the minus with a plus and divided 24 by 6
Step-by-step explanation:
Compute the difference when 16 ÷ 4 × 2 is subtracted from 16 × 4 ÷ 2.
Answer:
-14
explanation:
(16 ÷ 4 )x 2)-(16 x 4 )÷ 2)
so 16 ÷ 4 is 4.
4x2 is 8
16x4 is 32
32 ÷ 2 is 16
2-16
-14
so basically its 14
if i got it wrong it can be 24
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
9514 1404 393
Answer:
Each strawberry contains 4 calories
Step-by-step explanation:
The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.
Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).
The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.
The appropriate choice is ...
Each strawberry contains 4 calories
Answer:
its 4 calories, A
Step-by-step explanation:
i just got it right on edge
A quarter of five less than a number is no more than a third of five more than the same number.
Which of the following inequalities fits the description above?
(1 point)
14(x−5)≤13(x+5)
14(5−x)≤13(5+x)
14×5−x≤13×5+x
x−14×5≤x+13×5
Answer:
I am pretty sure its a... im doing the same thing and i am kinda thinking its that.
Step-by-step explanation:
is there a different way we can do it?
Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)
Step 1: We need to find the slope (or m) FIRST using slope formula*.
[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]
m = 3
Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.
[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]
b = 2
Step 3: Now we put it all together we get our equation in slope-intercept form**.
[tex]y = 3x + 2[/tex]
**Slope-intercept form: [tex]y = mx + b[/tex]
*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Find the value of x that makes A||B.
22 = 3x - 20 and 25 = x + 20
x = [?]
Enter
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[tex]angle \: 2 \: = angle \: 5[/tex]
[tex]3x - 20 = x + 20[/tex]
Add sides 20
[tex]3x - 20 + 20 = x + 20 + 20[/tex]
[tex]3x = x + 40[/tex]
Subtract sides x
[tex] - x + 3x = - x + x + 40[/tex]
[tex]2x = 40[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]
[tex]x = 20[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.
Answer: 12.5
Step-by-step explanation:1.50*5=7.5
7.5-70=62.5
62.5 divided by 5 = 12.5
Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?
Answer:
Step-by-step explanation:
7
I am so stuck! :( Pls help me!!! I don't get the problem and I don't know how to solve it
Answer:
[tex]\frac{n^{2}}{2a}[/tex]
Step-by-step explanation:
Just split it up first [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}[/tex] Then 9 divided by 18 can be simplified into the fraction 1/2What can go into [tex]a[/tex] and [tex]a^2[/tex] ? a itself right, so if you divide a by a you get 1, if you divide [tex]a^2[/tex] by a you get aSame as the a fraction, if you divide [tex]n^3[/tex] by n you get [tex]n^2[/tex] [tex]\frac{9an^{3}}{18a^{2}n}=\frac{9}{18}\times \frac{a}{a^2} \times\frac{n^3}{n}=\frac{1}{2}\times \frac{1}{a} \times\frac{n^2}{1}=\frac{n^{2}}{2a}[/tex]Answer:
(n^2)/2a
Step-by-step explanation:
We'll take this in small steps. Don't worry and follow along if you wish :D
Where do we start? Well, first, we notice that all of the numbers/variables (on both the denominator and the numerator) are multiplied by each other. If this case had addition or subtraction in the fraction, the explanation would have differed.
Let's take on a simpler example to show you what I mean. Here's a relatively simpler equation with no pesky variables:
(1 + 3)/4
This equation has to be broken down like this:
1/4 + 3/4
And although we could just do (1 + 3) quickly and divide by 4, consider it if we replace them with numbers instead, or variables in other words:
(x + y)/x
Then, it would work the same way as the previous example:
x/x + y/x
And that would further simplify to (1 + y/x).
But, we're lucky! Because there is no addition or subtraction, we won't have to divide all the numbers that are in the numerator with the number(s) in the denominator. Consider this:
(3*4)/4
We only need to divide 4 by the denominator (which is also four, in this case) and not both 3 and 4 like how we would solve if it had addition or subtraction.
First step! Let's take all of the variables out of this nasty equation we have on our hands to make it simpler:
(9an^3)/(18a^2n)
We would be left with...
9/18
And then we would reduce to leave 1/2. Notice that if we add all the variables back, we would have:
(1an^3)/(2a^2n)
Or (an^3)/(2a^2n)
If we write it out, we'll find this equation a tad bit easier with the large numbers dealt with (although I will admit, it doesn't look that great on the screen—lol)!
Back to business. Here, we need to simplify the variables. Given, we have to remember that variables are just your every-day number (but unknown). Because of that, we get to divide them very much like how we would with regular numbers. Rope in some of our previous lesson about not having to divide all the numbers on the numerator from the denominator from the beginning, too!
(an^3)/(2a^2n)
You can cancel out the variable a^ in this equation. That would leave you with:
(n^3)/(2an)
Try to simplify the rest on your own and use my work to check your answers! if you can't, then no worries. Follow along with me :D
We can also reduce using n. That will leave:
(n^2)/2a
And then you're done! I would recommend more questions like these (if you aren't already doing them) because you'll be using simplifying techniques similar to this equation in the future.
Good luck and keep studying!
As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.
Answer:
48km
5miles = 8km
×6 = ×6
30miles= 48km
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
Find the domain and range of y=-5x-1
Answer:
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex][tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
[tex]y=-5x-1[/tex]
The function has no undefined points nor domain constraints. Hence, the domain is
[tex]-\infty \:<x<\infty \:[/tex]
i.e.
[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
[tex]-\infty \:<y<\infty \:[/tex]
i.e.
[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
What is the volume of the following rectangular prism? 4/3 units 23/4 units 2
Answer: 7 2/3
Step-by-step explanation: got it wrong and it showed me the right answer on khan academy
The volume of the rectangular prism is 23/3 units³.
We need to find the volume of the following rectangular prism.
What is the formula to find the volume of the rectangular prism?The formula to find the volume of the rectangular prism is Volume=l×b×h.
Now,
Height of the rectangular prism = 4/3 units
Area of one of the surfaces of the rectangular prism = 23/4 units²
The volume of the rectangular prism = 4/3 units × 23/4 units²
= 23/3 units³
Therefore, the volume of the rectangular prism is 23/3 units³.
To learn more about the volume of the rectangular prism visit:
https://brainly.com/question/21308574.
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Sid earns $135 per day as a babysitter. He works 9 hours each day. How much does he eam in an hour?
OA 517
OB. $15
OC. $14
OD. $12
OE $11
Answer:
B is the answer
Step-by-step explanation:
Mark me as the brainliest,thank you
#Carryonlearning
There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?
What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?
What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?
What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?
Answer:
P(a)=0.3
P(b)=0.23
P(a&b)=0.13
P(a|b)=0.57
Step-by-step explanation:
Girl can I say this was very hard to read try better next time
By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either
Let A be the probability of a student playing soccer and B be the probability of a student playing basketball
P(A)= 45/150
P(B)=35/150
P(A&B)=20/150
P(A|B)= 20/35
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
$20 = x bottle
Solving both equality postulate;
$1 = 1 bottle
$20 = x bottle
Cross multiply
1 * x = 20 * 1
x = 20
Hence about 20 bottles of mineral drink can be bought with at most 20 dollars
Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
which is = 39
Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units
C) reflection over the x-axis
Determine whether the lines with the given slopes are parallel, perpendicular, or neither.
m1= 1/2 & m2= 0.5
Answer:
The given lines are parallel.
we already know that for parallel condition we apply;
m1=m2
1/2=0.5
0.5=0.5
How do you write 66% as a decimal?
Answer:
0.66
Hope this helps!
Answer:
0.66
Step-by-step explanation:
Move the decimal twice to the left whenever you try to convert a percent to a decimal
Solve the proportion below. X/12=12/72
Answer:
x=2
Step-by-step explanation:
2/12 is equal to 12/72
Answer:
its 2
Step-by-step explanation:
Simplify:
√5 ⋅ √12 ⋅ √50
O 10√30
O 10√10
O 7√30
O 7√10
Answer:
The answer is A 10squareroot of 30
Step-by-step explanation:
hope that helps you
Mallory records the number of hours she spends babysitting and the amounts of money she is paid. What is the constant rate of proportionality between the number of hours Mallory babysits and the amount of money she is paid, in dollars?
Please explain as well, I do not understand how I would find the answer.
Answer:
Mallory gets paid $20 for every 1 hour.
Step-by-step explanation:
You take the lowest set of numbers in this table, & divide them to find how much it would be for 1 hour: $40÷2hours= $20
ratio 1 hr./20 dollars