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Explanation:
Solve the inequality for x.
5x + 4 < 29
5x < 29-4
5x < 25
x < 25/5
x < 5
I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.
Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.
That's why {3, 4} is the final answer.
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An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.
Let's try x = 3
5x + 4 < 29
5(3) + 4 < 29
15+4 < 29
19 < 29
We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.
If we tried x = 5, then,
5x + 4 < 29
5(5) + 4 < 29
25 + 4 < 29
29 < 29
which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.
BRAINLIEST PLZ ANSWER! IM DESPRATE ;(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
The answer is 4 mph I think-
are these equations equal ?
1. 5x^2 + 15 and 5 (x^2 + 3 )
2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)
How do I draw perpendicular line
Answer:
Follow these steps and you will find how to make a perpendicular line.
Step-by-step explanation:
Open the compass to a radius less than half the segment.
Draw two arcs intersecting the line on both sides of the point.
Draw two arcs using the intersection points as the centers. ...
Construct a line between this point and the original point.
Hope this helped :) -ish
Need help ASAP! Directions in picture ;)
Answer:
30
Step-by-step explanation:
130 + 20 = 150
All angles added together in a triangle equal 180 so...
180 - 150 = 30
I hope this helps!
plz answer in (x,y). 15 POINTS!!!!!!!!
Please show me what the lines would look like on this piece wise function
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
show work! my teacher told me this was wrong, what's the correct answer?
Answer:
it is Ahmed shoevked more your calculations are wrong
A plant grows at a constant rate. The table shows the heights of the plant for different numbers of days of growth. Which of the following pairs of days and heights could also be included in the table? Select all that apply.
15 minutes how many students read the book in an hour
Answer:
Your reading speed will increase if you're reading a book you're familiar with than one you barely know. So, on average, you can read 40 to 50 pages of a book in an hour.
Step-by-step explanation:
Jenny and Dylan were putting chips into bags to help feed the homeless. They had 344 chips. Each bag holds 17 chips. How many full bags of chips can they make?
Answer:
20
Step-by-step explanation:
Answer:
20 full bags of chips
Step-by-step explanation:
344 chips / 17 chips = 20 full bags (with 4 chips left over)
the quotient of x and 10 equals 30
Answer:
x=3
Step-by-step explanation:
I'm assuming that's what you're asking.
x*10=30=>x=30/10=3
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
Pls help i have to turn this in tomorrow!!! I’m not sure if i did this right, if not pls tell me how to do <3
Answer:
13
Step-by-step explanation:
Sorry no one answered in time, but you had it correct up to 26/2. 26/2 is correct (26 minutes for 2 people) but you need for 1 person so you divide by 2 to get 13 minutes per 1 person.
PLEASE HELP WITH ALGEBRA WILL GIVE BRAINLIEST
Answer:
[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex]
Step-by-step explanation:
[tex]\frac{a}{b} + \frac{c}{d}[/tex]
[tex]\frac{ad}{bd} + \frac{cb}{bd}[/tex] Multiply by the LCD (bd)
Write the equation of the line that passes through the points (2,6) and (-5,4)
Answer:
y=2/7 x+38/7
Step-by-step explanation:
equation of the line y =ax+b;
a = 4-6/ -5-2
can someone help me do this
Answer:
a) S gets tends to infinity
b) S tends to zero
Step-by-step explanation:
As you know, dividing by larger numbers makes a quotient smaller. The converse is also true: dividing by smaller numbers makes the quotient larger.
__
a) The area of the label will get larger as r gets closer to zero. It will tend toward infinity.
__
b) The area of the label will get smaller as r gets larger. It will tend toward zero.
Suppose you want to have $600,000 for retirement in 20 years. Your account earns 9% interest. How much would you need to deposit in the account each month?
(1,-3) (-3,1) find the slope intercept form
Answer:
[tex]y=-x-2[/tex]
Step-by-step explanation:
1) First, find the slope between these 2 points.
(1, -3)
(-3, 1)
The change between the y-values is 4.
[tex]1--3=1+3=4[/tex]
The change between the x-values is -4.
[tex]-3-1=-4[/tex]
Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.
[tex]\frac{4}{-4}=1[/tex]
If you just wanted to use the slope formula, you could do that too:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]
2) Second, now you can use the slope to calculate the y-intercept.
Pick whichever point you want, and plug it into the equation along with the slope and solve for b.
(1, -3) = (x, y)
[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]
The y-intercept is -2.
3) Finally, you can wire the equation in slope-intercept form.
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the values we found and you're done:
[tex]y=-x-2[/tex]
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
1.)right in equation that models the total number of money, y, that you can buy x yards of fabric
2.) if you bought 9 yards of fabric how much will you pay
3.) if you paid $47.50 how many yards of fabric did you purchase
1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
Eric has to read a 250-page novel by Friday. With four days left until Friday, he has read 110 pages of the novel. What percentage of the pages does Eric still have to read?
Answer:
56% left of the book
Answer:
56 %
Step-by-step explanation: There are two ways to arrive at the answer.
1st Way: 110/250 = 0.44
0.44 * 100 = 44%
44% is the amount he has read and we are looking for the amount that is left to read.
So we know 100% is the maximum percentage.
We then subtract 44 from 100 which is 56, So 56 is the answer.
2nd Way: 250-110 = 140
140/250=0.56
0.56*100= 56%
Hope this helps.
Which object has the most kinetic energy?
A. A motorcycle traveling 26 km/h
B. A car traveling 25 km/h
C. A bicycle traveling 18 km/h
O D. A dump truck waiting at a stoplight
Answer: The answer is B, a car traveling 25 km/h.
The square root of pie must be at less ten numbers long
The square root of pi is 1.77245385091.
2x+5+2x+3x no solution, 2x+5+2x+3x one solution, 2x+5+2x+3x infinitely many solutions
Answer:
Step-by-step explanation:
*From what I'm getting, many of the blanks have multiple numbers that would work.*
No Solutions:
First Blank: 7
Second Blank: Any number but 5
One Solution:
First Blank: Any number but 7
Second Blank: Any number
Infinitely Many Solutions:
First Blank: 7
Second Blank: 5
Verizon has a special and is selling the new iPhone 7 for $299 to new customers. If the Apple Store is charging twice as much as Verizon, then how much is Apple charging for the new phone?
Answer:
$598
Step-by-step explanation:
2 x 299 = 598 so Apple is charging $598 for the new phone.
MODELING REAL LIFE You and your friend are making pear tarts for a bake sale. Your recipe uses 7/6 times the weight of the diced pears used in your friend’s recipe. Your friend’s recipe calls for 0.3 pound of diced pears. How many pounds of pears should you buy to have enough for both recipes?
Answer:
0.65
Step-by-step explanation:
7/6+6/6=13/6
13/6=2 1/6
2*0.3=0.6
[tex]\frac{3}{10} *\frac{1}{6} =\frac{1}{20}[/tex]
1/20=0.05
0.6+0.05=0.65
Pleaseeeeee help
And THANK YOU
[tex] \: \: \: \: \: \: [/tex]
[tex]a.) \: \: \: \: \frac{36}{5} [/tex]
[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]
refer to the attachment for explanationhope it helps
Answer:
A= 7 1/5
D= -7 1/2
Step-by-step explanation:
Hope this helped!
This is in mixed form btw
inproper fraction:
A= 36/5
D: -15/2
Is 24:6 equivalent to 12:3
Answer:
Yes
Step-by-step explanation:
Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.
For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.
Hopefully that's helpful! :)
i. (x+y) − (x−y) is a ___________ expression.
Do you understand Geometry so far? What can help you improve learning Geometry?
Teyt style
Answer:
My graph. I can practice that can help.
A triangle has sides with lengths of 7 kilometers, 14 kilometers, and 19 kilometers. Is it a right triangle?
Answer: No
Explanation: According to me, if you use the pythagorean formula which includes the formula of a right triangle. If you hold 7 and 14then the resulted length should have been 15. And if you place different positions like that, then none of the length comes the same so we can conclude that none of the sides have a right angle. However there is a possibility to have a right angle in a scalene triangle but it is unlikely here or most probably no.
