Explain why |-3| + |9| represents the distance between the points (-3,-5) and (9,-5)
Answer:Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).
Step-by-step explanation:
|-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line
Distance of a lineThe line passes through the points (-3,-5) and (9,-5)
That is, [tex]x_1=-3, y_1=-5, x_2=9, y_2=-5[/tex]
Since [tex]y_1=y_2=-5[/tex], the line is a horizontal line
Horizontal line distanceFor a horizontal line passing though the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_1)[/tex], the distance(D) between the two points is given as:
[tex]D=|x_1|+|x_2|\\\\ D=|-3|+|9|[/tex]
Therefore, |-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line
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I'm super confused... Can someone help me?
Answer:
Second choice
Step-by-step explanation:
Multiply numerator by numerator and denominator by denominator
(2a+10)a
a^2(a^2+2a-15)
Cancel a from a^2
(2a+10)
a(a^2+2a-15)
Factor: 5-3=2 and 5(-3)=-15. a^2+5a-3a-15=0. Group: a(a+5)-3(a+5)=(a-3)(a+5)
Factor: 2*a+2*5=2(a+5)
Cancel out (a+5)
2/(a(a-3))
NO ONE CAN Answer this!!!
Jaylan makes limeade using 3/4 cup water for every 1/5 cup of lime juice. Wanchen makes limeade using 2/3 cup of water for every 1/6 cup lime juice. Find the unit rates of water (cups) per lime juice. Whose limeade has a weaker lime flavor? Explain.
Jaylan : Water/Juice=(3/4)/(1/5)=15/4
Wanchen : Water/Juice=(2/3)/(1/6)=4/1 or 16/4
Wanchen has a weaker lime flavor because there is more water in her mixture than Jaylan's limeade. Both have the same amount of lime juice (assuming ratio), and Wanchen has more water, making Wanchen have the limeade that has the weaker lime flavor.
Tom and Jack “power walk” towards each other at the same time. Tom’s walking speed is 2.3 m/s, Jack’s speed is 2.2 m/s. They meet each other 1.5 minutes after they started. How far apart were they to begin with?
Answer:405 meters apart. I think the m means meters, if it meant miles that would be incredible :)
Step-by-step explanation: 2.3 times 1.5 minutes is 90 seconds, so 2.3 times 90=207. 2.2 times 90 =198. 207+198=405
Ashley uses a cup of water and 2 cups of sugar to make a large batch of emerging bird Fugue what ratio correctly compares the amount of water she uses to the amount of sugar she uses
Answer:
1:2
Step-by-step explanation:
She uses 1 cup of water and 2 cups of sugar so
1:2 or 1/2.
if f(x)=x squared + 3x+5 what is f(a+h)
Answer:
a² + 2ah + 3a + 3h + 5 + h²
Step-by-step explanation:
to evaluate f(a + h) substitute x = a + h into f(x)
f(a + h)
= (a + h)² + 3(a + h) + 5 ← distribute
= a² + 2ah + h² + 3a + 3h + 5
Which is a disadvantage of using cash as a payment method? Accepted almost everywhere. Has no fees or interest. Must hand deliver all payments. Fraud is rare except occasional counterfeiting.
Answer:
i would say the last choice
The disadvantage of using cash as a payment method is the requirement to hand deliver all payments. This method is less convenient and secure compared to electronic payments, highlighting the shift towards a cashless society.
Explanation:The question asked is, "Which is a disadvantage of using cash as a payment method?" The correct answer to this question is that one must hand deliver all payments when using cash. This is a significant disadvantage compared to electronic forms of payment. In our increasingly digital world, methods like credit cards, online banking, and mobile payment platforms like Apple Pay introduced in 2014 offer the convenience of making payments from virtually anywhere without the need to physically handle currency.
This shift towards a cashless society highlights the limitations of cash transactions, especially in terms of convenience and security. Moreover, in scenarios such as paying bills, shopping for large purchases, or conducting business transactions, the logistical challenges of using cash become even more apparent. Electronic payments, on the other hand, allow for easier transaction tracking and less physical risk, making them more appealing for both consumers and businesses.
the amusement park also has water rides 30% of the 80 rides are water-related how many water-related rides does the park have
Answer:
24.
Step-by-step explanation:
So you need to fine 30% of 80.
I did the following method:
-Break it down, and do, 80 -/- 10 which is 8, now you have 10%, and you need to find 30, times your 10% by 3, so 24.
-Therefore, 24 out of 80 rides at the amusement park are water-related.
Hope this helps!
--Emilie Xx
By using the percentage given, we can calculate that there are 24 water-related rides at the amusement park out of the total 80 rides.
Explanation:The question is asking how many of the total rides at the amusement park are water-related. This is a problem related to percentage. We know that 30% of the park's 80 rides are water-related. To find out the exact number, we multiply the total number of rides (80) by the percentage of water rides (30%), but since percentage is in terms of 100, we first convert the 30% to a decimal by dividing it by 100. This gives us 0.30. We then multiply 80 (the total number of rides) by 0.30.
Here's the calculation: 80 rides * 0.30 = 24 rides.
So, there are 24 water-related rides at the amusement park.
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how much higher is 500 than -400
Answer:
100
Step-by-step explanation:
I subtracted the 2 numbers
Answer:
900
Step-by-step explanation:
500 - (-400)=900
Which basic geometric term has exactly one dimension?
A. Point
B. Plane
C. Line
D. Angle
Answer: Option 'C' is correct.
Step-by-step explanation:
We need to find which has one dimension.
Since Point is undefined term with no size or dimension, but in two dimensional it is found in ordered pair i.e. (x,y)
Plane is also an undefined term with length and width but no thickness, so, it is two dimensional.
Angle is undefined term formed by tow lines or rays diverging from a common vertex, so it is two-dimensional.
But Line is also undefined term with length only but there is no width or thickness.
So, Line has exactly one dimension.
Hence, Option 'C' is correct.
PLEASE HELP BRAINLIEST WILL BE GIVEN!!! Convert the following:
Round to the nearest hundredth
a) 7 miles to feet
b) 22 centimeter to inches
c) 6 gallons of water to ounces
Type your answer below:
Use what you know about the sum of the angles in a triangle together with the properties of supplementary angles to calculate the missing angles in the figure below.
Answer:
a = 35°; b = 50°; c = 85°; d = 30°
Step-by-step explanation:
a = 35° because a + 80 + 65 = 180.
b = 50° because b+ 35 + 95 = 180.
c = 85° because c + 95 = 180.
d = 30° because d + 85 + 65 = 180.
WILL GIVE BRAINLIEST
graph f(x) = -1/2x - 5
please give me the points to put on the graph
thanks :)
Answer:
(-10, 0) and (0,-5)
Step-by-step explanation:
For the function [tex]f(x)=-\dfrac{1}{2}x-5,[/tex] find x-intercept and y-intercept:
1. when y=0, then
[tex]0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;[/tex]
2. when x=0, then
[tex]y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.[/tex]
You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function [tex]f(x)=-\dfrac{1}{2}x-5.[/tex]
1. 800 divided by 4
2. 4 divided by 800
3. 440 divided by 24
Please show work. I have to show my work
1. 800 divided by 4 equals 200.
2. 4 divided by 800 equals 0.005.
3. 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.
How did we get these values?Each division problem is solved below:
1. 800 divided by 4:
To divide 800 by 4, you divide the dividend (800) by the divisor (4):
200
-------
4 | 800
- 8
---
0
Therefore, 800 divided by 4 equals 200.
2. 4 divided by 800:
To divide 4 by 800, you divide the dividend (4) by the divisor (800):
0.005
----------
800 | 4.000
- 0
-----
4.000
Therefore, 4 divided by 800 equals 0.005.
3. 440 divided by 24:
To divide 440 by 24, you divide the dividend (440) by the divisor (24):
18
------
24 | 440
- 24
------
20
- 18
------
2
Therefore, 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.
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The ratio rock music to total CDs that Ella Owens is 15/40. Paolo has 50 rock music CDs the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total CDs in ours collection how many CDs do they own ? Explain ?
Answer: There are 184 total number of CDs they own.
Step-by-step explanation:
Since we have given that
Ratio of rock music to total CDs that Ella Owens is
[tex]15:40\\\\=3:8[/tex]
Now, Number of rock music CDs Paolo has = 50
According to question, the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total music to total CDs in ours collection,
[tex]15:40=3:8[/tex]
Let the total number of CDs be x
So, our equation becomes,
[tex]\frac{3}{11}\times x=50\\\\x=\frac{50\times 11}{3}\\\\x=\frac{550}{3}\\\\x=183.34[/tex]
Hence, there are 184 total number of CDs they own.
A model is created to show 5 thousands blocks, 4 hundreds blocks, and 9 ones blocks. How would this number be written in standard form?
Answer: 5,409
Step-by-step explanation: Five thousand blocks is equivalent to 5,000. Four hundred blocks is equivalent to 400. Nine ones is equivalent to 9. In standard form, this number is five thousand four hundred and nine (5,409).
gretchen made 189 cookies in 4.5 hours what was her rate in cookies per hour
Answer: 42 cookies/1 hour
Step-by-step explanation: Since Gretchen made 189 cookies in 4.5 hours, we set the equation up as 189/4.5. To get cookies per hour, we divide 189 by 4.5, which is 42/1. This means that Gretchen can make 42 cookies in 1 hour.
What equation represents the proportional relationship displayed in the table?
X: 0, 3, 8, 13
Y: 0, 18, 48, 78
Enter your answer in the box to complete the equation
y=___ x
[tex]\text{If x and y are proportional, then the quotient of x and y is constant}\\\\\dfrac{y}{x}=const.=a\to y=ax\\\\x=3,\ y=18\to\dfrac{y}{x}=\dfrac{18}{3}=6\\\\\text{therefore}\ \boxed{y=6x}\\\\\text{Check:}[/tex]
[tex]x=0\to y=6(0)=0\\\\x=3\to y=6(3)=18\\\\x=8\to y=6(8)=48\\\\x=13\to y=6(13)78\\\\\boxed{y=6x}[/tex]
Fiona had $50 to go canoeing . She had to pay an $18 deposit in addition to the hourly rate of $10.50 per hour. Write and solve an inequality to find the greatest number of hours for which she could rent a canoe. Pls show work!
Answer:
3 hours
Step-by-step explanation:
$50-$18=$32
$32/$10.50=3.04761904762--->3 hours
Which letter represents where the number 29 lies?
which of these numbers is composite?7,9,23,47,67
Answer:9 is the only one
Step-by-step explanation:
what is 95 percent
of 60?
57
95% is 19/20 as a fraction. 60/20 is 3. Multiply 19 by 3 to get 57. At least that how I do it. Hopefully this helped you.
If Carlos ran 3 miles in 21 minutes, how long did it take him to run 1 mile?
Answer:
7 minutes
Step-by-step explanation:
you have to set up a proportion
please help. What is the value of x?
screenshot below
Answer:
25
Step-by-step explanation:
Since the triangle is equilateral, all the sides have the same measures.
You can set any two sides equal to each other, and solve for x.
4x-30 = 2x + 20
4x = 2x + 50 add 30 to both sides
2x = 50 subtract 2x from both sides
x = 25 divide both sides by 2
You can plug x into the expressions and compare the sides to make sure its correct.
Zoe babysat for x+3 hours yesterday.she earned x-2 dollars per hour.write a polynomial expression that represents the amount Zoe earned
Answer:
y=3x+2
Step-by-step explanation:
The total amount Zoe earned from babysitting is represented by the polynomial expression (x + 3) * (x - 2), which expands to [tex]x^2+x-6[/tex]
Explanation:To find the total amount that Zoe earned, it is necessary to multiply the time she worked by how much she earned per hour. Zoe worked for x + 3 hours yesterday and earned x - 2 dollars per hour. Therefore, the polynomial expression to represent the total amount she earned is (x + 3) * (x - 2). This can be expanded by using the distributive property, to give the polynomial: [tex]x^2[/tex] + x - 6.
So, the amount Zoe earned can be represented by the polynomial expression [tex](x+3)*(x+2)[/tex]
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Another one
Find the value
Answer:
x=8
Step-by-step explanation:
15+x = 23
Subtract 15 from each side
15-15 +x = 23-15
x = 8
victoria invited 260 people to her quinceanera party. 76 guest rode in corvettes and the rest rode in 23 suburbans. how many guest rode in each suburban
Answer:
8 guest rode in each suburban .
Step-by-step explanation:
As given
victoria invited 260 people to her quinceanera party.
76 guest rode in corvettes and the rest rode in 23 suburbans.
As 76 guest rode in corvettes .
Thus
Number of guest rode in suburbans = 260 - 76
= 184 peoples
Let us assume that the number of guest rode in each suburban be x.
Total suburbans are 23.
Than the equation becomes
x × 23 = 184
[tex]x = \frac{184}{23}[/tex]
x = 8
Therefore 8 guest rode in each suburban .
What is the name of the special point that a line has to pass through in order to be considered proportional
Solution:
In order to be considered proportional , a line must pass through Origin.
Equation of any line passing through origin is given by:
→ y = k x, k -= Slope of any line passing through origin.
[tex]\frac{y}{x}=k[/tex], Considering k as a proportionality constant.
Special Point = Origin (0,0)
A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation x3+6x2 can be used to find x. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer.
Answer:
[tex]x=3.783[/tex]
Step-by-step explanation:
We are given equation of volume
[tex]V=x^3+6x^2[/tex]
now, we can are given
volume is 140 in^3
we can set 140
and then we can solve for x
[tex]x^3+6x^2=140[/tex]
so, we can draw graph of these two functions
[tex]y=x^3+6x^2[/tex]
[tex]y=140[/tex]
and then we can find intersection point
we can see that intersection point is (3.783,140)
so,
[tex]x=3.783[/tex]
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
Step-by-step explanation:
The Rawlins family has travelled 600 km on their vacation. This has taken them 8 hours. If they continued at the same rate, how long will it take them to complete their journey if the total distance to be travelled is 2100 km?
A. 20 hours
B. 28 hours
C. 26 hours
D. 12 hours
Answer:
B. 28 hours
Step-by-step explanation:
GIVEN :- Time taken by family to travel 600 km is 8 hours
CALCULATIONS :-
To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour
Distance traveled in 1 hour = 600 km ÷ 8
= 75 km
Time required to travel 2100 km = 2100 ÷ 75
= 28 hours
Therefore time required to travel 2100 km is 28 hours.
Final answer:
The Rawlins family, traveling at a speed of 75 km/hour, will take a total of 28 hours
Explanation:
To determine the travel time for the remaining distance of the Rawlins family's journey, we use the formula
time = distance / speed. First, we need to find the family's speed during their trip. They have travelled 600 km in 8 hours, so their speed is
600 km / 8 hours = 75 km/hour.
Next, we calculate the time it would take to travel the total distance of 2100 km at this speed. So,
time = 2100 km / 75 km/hour. Upon performing the calculation, we get 28 hours. Therefore, if they continue at the same speed, the total travel time for the entire journey would be 28 hours.