5x+1≤−14 or −4x+6<10
help
Answer:
x≤−3 or x>−1
Step-by-step explanation:
Combine like terms
Isolate your variable x
Answer:
x<-3 or x>1
Step-by-step explanation:
you would just subtract 1 from both sides on the first one so you get 5x<-15 which can be x<-3 and for the second one -4x+6<10 subtract 6 so you get -4x<4 and divide by -4 which is x>1
At a butcher shop Karl bought 8 17/25lb of beef and some pork. He left with 17 1/4lb of meat. Express the number of pounds of pork he bought using a decimal.
Answer:
17 1/4 lb = 17.25 pounds
Step-by-step explanation:
Karl bought
Beef=8 17/25 lb
Pork= 17 1/4 lb
Express the number of pounds of pork he bought using a decimal
Pork= 17 1/4 lb
1 lbs to pound = 1 pound
17 1/4
= 69/4
=17.25 pounds
Alternatively
17 whole number
1/4=one quarter=0.25
Now 17 + 0.25
=17.25 pounds
Beef=8 17/25 lb
Beef to pound in decimal
8 whole number
17/25=0.68
8+0.68 = 8.68 pounds
Beef= 8.68 pounds
Pork=17.25 pounds
At a butcher shop, bought lb of beef and some pork. Left with lb of meat. Express the number of pounds of pork bought using a decimal. bought nothing lb of pork.
Answer:
15.11 lb
Step-by-step explanation:
At a butcher shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal
so Hilda bought ? lb of pork
Beef = 4 17/20 lb
Pork = x lb
Total Meat = 19 24/25 lb
Using decimal to express the pound of pork she bought, convert the pounds of beef and total meat she bought into decimal
Beef = 4 17/20 lb = 4.85 lb
Total Meat = 19 24/25 lb = 19.96 lb
Total meat = Beef + pork
19.96 lb = 4.85 lb + x lb
Subtract 4.85 from both sides
19.96 - 4.85 = 4.85 + x - 4.85
15.11 = x
x= 15.11 lb
Therefore, pounds of pork she bought = 15.11 lb
9. The regular price of an item at a store is p
dollars. The item is on sale for 20% off the regular
price. Some of the expressions shown below
represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1 -0.2p
Expression D:p -0.2p
Which two expressions each represent the sal
price of the item?
A Expression A and Expression E
B Expression B and Expression C
C Expression B and Expression D
D Expression C and Expression D
Answer: C: Expression B and D
Step-by-step explanation:
Say the item is $100. 20% of 100 is equal to 100 (20/100)
When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.
So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.
Now plug in 100 for p in each equation. The equation that equals 80 is the answer.
Only equation B and D equals 80 when 100 is plugged in.
An object dropped from the top of a tall building falls y = 4.9t^2 meters in the first t seconds. What is the object’s average speed during the first 4 seconds?
A.) 4.9 m/s
B.) 9.8 m/s
C.) 19.6 m/s
D.) 39.2 m/s
E.) 78.4 m/s
What is the objects instantaneous speed at t=4 seconds?
A.) 4.9 m/s
B.) 9.8 m/s
C.) 19.6 m/s
D.) 39.2 m/s
E.) 78.4 m/s
Answer:
Average Speed
C.) 19.6 m/s
Instantaneous Speed
D.) 39.2 m/s
Step-by-step explanation:
Given the function to represent the distance traveled by the object in [tex]t[/tex] seconds:
[tex]y = 4.9t^2[/tex]
To find:
Object's average speed during the first 4 seconds ?
Instantaneous speed at t = 4 seconds
Solution:
Average speed of a moving object is given by, Total Distance covered divided by Total time taken.
[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]
Let us find the distance traveled in 4 seconds by putting t = 4 in the equation [tex]y = 4.9t^2[/tex]
[tex]y = 4.9\times 4^2 = 78.4\ m[/tex]
Now, let us put the values in the formula:
[tex]\text{Average Speed = }\dfrac{78.4}{4} = \bold{19.6\ m/s}[/tex]
For instantaneous speed, we need to differentiate y w.r.to t:
[tex]Speed = \dfrac{d}{dt}y = 4 \times 4.9 t^{2-1}\\\Rightarrow Speed = \dfrac{d}{dt}y = 4 \times 4.9 t[/tex]
Now, let us put t = 4 seconds
Speed = [tex]4\times 4.9\times 4[/tex] = 39.2 m/s
The answers are:
Average Speed
C.) 19.6 m/s
Instantaneous Speed
D.) 39.2 m/s
-x +2xy - 3y for x = -4 and y = 5
Answer:
4-40-15=-21
Step-by-step explanation:
you just replace x and y for the given numbers in this problem
A Farmer Watered 3/8 of a field, What Percentage to the Fraction of the field the farmer watered?
Answer:
37.5%
Step-by-step explanation:
3/8 = 37.5%
Identify the factors of the terms of the expression.
3). 5+6a+11b
4). 13m-2n
Answer:
factors are 5, 6, a, 11, b
Step-by-step explanation:
3) 5 + 6a + 11b
Algebraic expressions: 5 + 6a + 11b
Are combinations of numbers, variables, and at least one arithmetic.
Term are: 5, 6a, 11b
Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).
Factors are: 5, 6, a, 11, b
Something which is multiplied by something else. A factor can be a variable, number, a term, or a longer expression.
Coefficient: 6, 11
The numerical factor of a multiplication expression that contains a variable.
Constant: 5
A number that cannot change its value.
4). 13m-2n (note: it applies as above)
Add. Write your answers in simplest form.
10 1/6+12 1/10
HELP PLEASEEE AND ANSWER FAST!:))
I don't get it, what are you suppose to do?
good morning :) Which expression is equal to 20 minus 9 divided by 3? A.) 20 minus 3 B.) 11 divided by 3 C.) 23 minus 9 D.) 20 minus 9
Answer:
A.20_ 3=17..
option A is the answer
Answer:
A) 20 - 3
Step-by-step explanation:
20 - 9÷3
Use PEMDAS.
First Division should be done
So, 20 - 9÷3 = 20 - 3
Eric and his two sisters shared an amount of money in the ratio 2:7 respectively. If Eric had $ 300 and the remaining amount shared equally among the sisters, how much did each sister get?
Answer:each sister get will get $525
Step-by-step explanation:
1st step
Eric and his sisters shared amount x in the ratio 2:7
total ratio = 2+7 = 9
2nd step ;
Total amount of money shared since Eric received $300
(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric
2/9 x X= 300
X=(300 x 9) / 2 = $1,350
Total money = $1,350
3rd step:
two sisters will receive
(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters
7/9 x $1,350 = 9,450/9 = 1,050
share of two sisters= $1050
if they share equally , each will receive $1050/2 = $525
Please help with math
Answer:
24420.5
Step-by-step explanation:
Multiply all the numbers together to get the length of the cubiod
221*8.5*13= 24420.5
Hope this helped!
Answer:
[tex]\Huge \boxed{\mathrm{2 \ cm }}[/tex]
Step-by-step explanation:
[tex]\sf Volume \ of \ cuboid= length \cdot width \cdot height[/tex]
The width is 8.5 cm.
The height is 13 cm.
The volume is 221 cm³.
[tex]221 = l \cdot 8.5 \cdot 13[/tex]
Solving for [tex]l[/tex]
[tex]221=l \cdot 110.5[/tex]
Dividing both sides by 110.5
[tex]2=l[/tex]
The length is 2 cm.
4 A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
Brand Y costs $6.00 for 8 fluid Ounces. How much less per fluid ounce does
Brand X cost than Brand Y? Show your work.
Answer:
$0.10 less
Step-by-step explanation:
First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand y
2) (G3-4 pts) Find the area of the shaded figure in square feet. Round to the nearest tenth if
necessary. Circle the correct answer.
|--5---
18 ft
---5ft
A. 478.5 ft?
B. 311.2 ft
8 ft
C. 351.2 ft?
D. 438.5 ft?
Answer:
Area of both triangles = 8*5 = 40
Rectangle Area = 8*18 = 144
Semi Circle Area = Pi*r^2 / 2 = (3.14159*81)/2 = 127.34
40 + 144 + 127.34 = 311.34 square feet
answer is B
Step-by-step explanation:
HELP PLEASEEEE!!!!!!!!
Answer:
C
Step-by-step explanation:
We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.
Answer:
C - with explanation
Step-by-step explanation:
First, when you graph an inequality that uses a < or > it's plotted with a dashed line to show the line isn't included in the region.
Inequalities with a [tex]\leq or \geq[/tex] are plotted with a solid line to show the line is included in the region.
You can eliminate B and D because they are showing a graph using < or >
Now we know it's either A or C.
To figure out each, let's pick 4 random points, one in each quadrant and color.
Let's pick (3,3) (3, -3) (-3,3) (-3,-3) For an easier visual they would be
|
(-3,3) | (3,3)
___________|____________
|
(-3,-3) | (3,-3)
|
Plus in the values for each inequality:
(3,3) x + 2y [tex]\leq[/tex] 4 3x - y [tex]\geq[/tex] 2
3 +[tex]\geq[/tex] 2(3) 3(3) - 3
3 + 6 = 9 9 - 3 = 6
9 is not [tex]\leq[/tex] to 4 6 is [tex]\geq[/tex] 2
So this is a valid point because it works in the 2nd equation.
We got lucky and the first point we chose eliminates option A because (3,3) is a point that works and option A shows that area as being "out of bounds."
To test option C let's pick a point in the undefined area. Let's choose (-1,3)
(-1,3) x + 2y [tex]\leq[/tex] 4 3x - y [tex]\geq[/tex] 2
-1 +[tex]\geq[/tex] 2(3) 3(-1) - 3
-1 + 6 = 5 -3 - 3 = - 6
5 is not [tex]\leq[/tex] to 4 -6 is not [tex]\geq[/tex] 2
So this point in the white area is not valid for either inequality.
Now we know for sure the correct option is C.
Please help 20 points to brainliest!!
Answer:
41
Step-by-step explanation:
You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.
However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.
-7+52=45
45-4=41
The answer is 41!
Hope this helps!
Answer:
D
Step-by-step explanation:
So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.
To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:
[tex]x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.
Plugging in all into the equation, we have:
[tex]x_n=-7+4(d-1)[/tex]
So, to find the 13th term, use 13 for n:
[tex]x_{13}=-7+4(13-1)\\x_{13}=-7+4(12)[/tex]
Simplify:
[tex]x_{13}=-7+48\\x_{13}=41[/tex]
So, the 13th term is 41.
The answer is D.
Consider the functions f(x) = 3x - 5.
Evaluate f(-4).
X= -4, so when you plug it in and solve the problem you'll get x= -17 Reason: 3(-4)= -12+ -5 Which equals -17.
Consider the geometric sequence: 8, 4, 2, 1, \dots8,4,2,1,…8, comma, 4, comma, 2, comma, 1, comma, dots If nnn is an integer, which of these functions generate the sequence? Choose all answers that apply: Choose all answers that apply: (Choice A, Checked) A a(n)=8\left(\dfrac12\right)^na(n)=8( 2 1 ) n a, left parenthesis, n, right parenthesis, equals, 8, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq1n≥1n, is greater than or equal to, 1 (Choice B) B b(n)=32\left(\dfrac12\right)^nb(n)=32( 2 1 ) n b, left parenthesis, n, right parenthesis, equals, 32, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq2n≥2n, is greater than or equal to, 2 (Choice C) C c(n)=64\left(\dfrac12\right)^nc(n)=64( 2 1 ) n c, left parenthesis, n, right parenthesis, equals, 64, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq3n≥3n, is greater than or equal to, 3 (Choice D, Checked) D d(n)=128\left(\dfrac12\right)^nd(n)=128( 2 1 ) n d, left parenthesis, n, right parenthesis, equals, 128, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq4n≥4
Answer:
C AND D
Step-by-step explanation:
KHAN ACADEMY.
C: c(n)= 64(1/2)^n for n greater than or equal to 3
D: d(n)= 128(1/2)^n for n greater than or equal to 4
The correct series is being generated by options B and D
What is geometric series?A geometric series is a series for which the ratio of each two consecutive terms is a constant term called the common ratio.
How to find which of the given functions generate the given sequence?We know that nth term of a Geometric series can be written as [tex]ar^{n-1}[/tex] where a is the first term and r is the common ratio.The given series is 8 , 4 , 2 , 1......
Here the first term is 8 and the common ratio is 1/2Here, we should check the options one by one
The first option does not generate the series after putting values which are greater than or equal to 1So, option A is wrong.
Now, if we put n = 2, 3 ... values in second function, we can see the series being generated.So, option B is correct.
In option 3 if we put n = 3 then c(n) is coming as 8 but again on putting n = 4 , c(n) is coming 2.So the series in not getting generated here.Hence option C is wrong.
In option 4, we can see that the series is getting generated after putting the values n = 4,5.....So, option D is correct.
Find more about "Geometric Series" here: https://brainly.com/question/24643676
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Rachel wants to use cottage cheese and yogurt to increase the amount of protein and calcium in her daily diet. An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. How many ounces of cottage cheese and yogurt should Rachel eat each day to provide 57 grams of protein and 840 milligrams of calcium?
Answer:
She needs to eat 5 ounces of cheese and 1 ounce of yogurt
Step-by-step explanation:
Rachel should have 15 ounces of yogurt and 14 ounces of cheese.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. let Rachel have x ounces of cheese and y ounces of yogurt. Then we have the following equations
3x+y=57
0.012x+0.044y=0.84
Solving these two equations we get y=15.3 or 15 ounces (approx)
and x= 13.9 or 14 ounces(approx) respectively.
Hence, Rachel should have 15 ounces of yogurt and 14 ounces of cheese.
Learn more about the solutions of linear equations here:
https://brainly.com/question/545403
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-0.07p-0.6=5 please help!!!!
Answer:
p= -80
Step-by-step explanation:
DON'T FORGET TO INCLUDE THE NEGATIVE
1. Isolate the p
2. Bring the .6 to the other side by doing the opposite. In this case adding.
3. You now should have -0.07=5.6
4. You are going to continue to isolate the variable.
5. You are going to do the opposite of multiplication to the -0.07. (Didn't know how to word this part)
6. You are going to divide both sides by -0.07. Which would give you -80.
DON'T FORGET TO INCLUDE THE NEGATIVE
1. 8x-x
solve
I NEED HELPPP ASAP
Answer:
7xStep-by-step explanation:
[tex]8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x[/tex]
Answer:
7x
Step-by-step explanation:
it is quite clear and also very easy look...
8x -1x = 7x
whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations
so easy hope you found it helpful
plz rate and mark the brainliest if you found it helpful....
My cousin needs help on all the questions. Please help him he is failing math
Answer:
(a) more
(b) less
(c) more
(d) greater
(e) Left to right: Susan, George, Antonio, Maria
Step-by-step explanation:
When a point total is lower, more points are needed to stay in the game.
__
(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.
__
(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.
__
(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.
__
(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.
__
(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.
_____
* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.
The problem is poorly worded. The answer choices above are consistent with the problem statement overall.
what is y=4/5x-7 in graph form?
Answer:
Use a graphing calculator.
Step-by-step explanation:
If = 7, then x must be _____. 7 14 49 Irrational
Answer:
x is 49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
i just took the test
what is the slope? m=?? urgent due friday 8/28
Answer: y=-2/3x+3
hope this helped
Windows are cleaned at a house every 7 days.
Milk is delivered to the same house every 3 days.
On the 3rd June, the windows are cleaned and milk is delivered.
What is the next date when both happen on the same day?
Answer: 24th
7-14-21
3-6-9-12-15-18-21
plus the three extra days gets you the 24th
Lily bought 4 pairs of jeans at a cost of $39 each. How much money did she give the clerk
Solve the equation 4+6x+5=7x
18=30-r30 solve for r
Answer:
r =
Step-by-step explanation:
r=30√12,−30√12
Answer:
r=2/5
Step-by-step explanation: