Which value below is included in the solution set for the inequality statement?
-3(x - 4) > 6(x - 1)
[tex]-3(x-4) > 6(x-1)\qquad\text{use distributive property}\\\\(-3)(x)+(-3)(-4) > (6)(x) + (6)(-1)\\\\-3x+12 > 6x-6\qquad|\text{subtract 12 from both sides}\\\\-3x > 6x-18\qquad|\text{subtract 6x from both sides}\\\\-9x > -18\qquad|\text{change the signs}\\\\9x < 18\qquad|\text{divide both sides by 9}\\\\x < 2[/tex]
liquid A has a density of 1.4 g/mL , liquid B has a density of 5.9 g/mL and liquid c has a density of 3.2 g/ mL. arrange the three liquids ina density column ( explain your answer)
Liquid B
Liquid C
Liquid A
Because the denser layers sink and the less dense layers float to the top, just like oil and water, the water is more dense than the oil, that is why the oil floats to the top and the water remains at the bottom:))
At the bottom of the density column there is liquid B with a density of 5.9 g/ml, in the middle liquid C with a density of 3.2 g/ml and in the middle liquid A with a density of 1.4 g/ml be at the top.
Explanation:
To arrange liquids A, B, and C in a density column, you must consider their respective densities, since the highest density liquid stays at the bottom and the lowest density liquid floats at the top. Liquid B has the highest density (5.9 g/ml), then liquid C with a density of 3.2 g/ml, then liquid A with the lowest density, 1.4 g/ml. Therefore, when arranging these liquids in a density column, place liquid B at the bottom, liquid C in the middle, and liquid A at the top.
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The sum of 2 and is less than -29
Find three consecutive integers whose sum is 35.
5, 10, and 20. (This is your answer.)
5 + 10 + 20 = 35.
These numbers are also consecutive, meaning each comes after the other on a number-line.
Hope this helps!
the larger number is 18 more than twice the smaller. if the sum of. the two numbers is 93, find both numbers.
The larger number is 68 and the smaller number is 25.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the larger number is 18 more than twice the smaller. if the sum of. the two numbers are 93. let the larger number be L and the smaller number be S.
L = 18 + 2S
L + S = 93
18 + 2S + S = 93
18 + 3S = 93
3S = 93 - 18
3S = 75
S = 25
L + S = 93
L + 25 = 93
L = 93 - 25
L = 68
Therefore, the larger number is 68 and the smaller number is 25.
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What’s |z-15|+5c+j z=10 c=-2 j=-4
Answer:
-9
Step-by-step explanation:
10-15 = -5 I-5I= 5
5*-2= -10
5+-10+-4 = -9
What is the degree of the monomial? 3x^10
10
3
13
30
The degree of the monomial 3x¹⁰ is 10, which is the sum of the exponents of the variables it contains.
The degree of a monomial is the sum of the exponents of all its variables. In the monomial 3x¹⁰, there is only one variable (x) with an exponent of 10. Therefore, the degree of this monomial is 10.
No other operations, such as cubing of exponentials, are relevant in this context.
The difference of 10 and a number is negative eight
10 - x = -8
x = 10 + 8
x = 18
-----------------------
10 - 18 = -8
I don’t understand this, please help
Hello !
1. 15 + 37 = 52
2 . 22+ 49 = 71
3 . 33 + 26 = 59
4 . 34 + 18 = 52
I found these answers by adding the squares together .
I figured out question 4 by adding the amount of feet the tree grew.
The subject of this question is English, which involves studying language, literature, and writing. It helps students develop communication and critical thinking skills
In English class, students study various aspects of language, literature, and writing. This can include topics such as grammar, vocabulary, literary analysis, reading comprehension, and creative writing. English is an important subject as it helps students develop strong communication skills, critical thinking abilities, and a deeper understanding of different cultures and perspectives.
A.) Multiply these numbers the quickest and easiest way possible: 87 x 5 x 2 B.) Explain how you were able to quickly determine the product. Justify your reasoning using a property of multiplication.
It is easy to multiply numbers by 10: you simply have to add an extra zero at the end.
This means that, using associative property, we know that
87 x 5 x 2=(87 x 5) x 2=87 x (5 x 2)
The last expression is the easiest to compute, because we have
87 x (5 x 2) = 87 x 10 = 870
Hope I helped.
the arithmetic average of 10 numbers -2, -5,-2, 5, x , -3 10, 3, 8, -10 is 8 find x
AS
Arithmetic average = Sum of all the numbers /Total numbers
SO arithmetic average= {(-2)+(-5)+(-2)+(5)+(x)+(-3)+(10)+(3)+(8)+(-10)} / 10
={4x} /10
=0.4 x
As Given Arithmetic average= 8
so 0.4x =8
Dividing 0.4 Both sides
0.4x/0.4 = 8/0.4
x= 20
I need help solving this: Solve: 6 = 2m + 14
What’s the answer to this equation? 5-3(2a-6)=-6a+13
Answer:
12a - 31 = 0
Step-by-step explanation:
3(2a - 6) = -6a + 13
6a - 18 = -6a + 13
6a - 18 + 6a - 13 = 0
12a - 31 = 0
What is the probability of rolling at least one 5 or 6 when rolling the dice two times?
help Asp please it's do tomorrow
Hello!
To answer your question we need to follow these steps:
First we will need to subtract the $6 tip from the total of the meal, as a tip is added AFTER tax is applied.Once we subtract 6 from 45.42 we are given 39.42 as our price with tax.The next step is divide 39.42 by 1.08 , or 8% This gives us the total of $36.50 before tax.We will then subtract the price of the fries from out total before tax, giving us the equation $36.50 - $5.00 which gives us a total of $31.50Our last step, is to divide this amount by 3 to find the cost of 1 sandwich. $31.50/3= $10.50If you have followed these steps correctly you will find that the cost of one sandwich is $10.50!
Please simplify the following distributive property expression:
11(9+4v)
[tex]11(9+4v)\qquad|\text{use distributive property}\\\\(11)(9)+(11)(4v)=99+44v[/tex]
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If the opposite of g(x) is –g(x), then –g(x) = ?
Answer:
if you are looking for g(x)=x-6 the opp is....... -g(x)=-x+6
Step-by-step explanation:
Answer: -g(x)=-x+6
Step-by-step explanation:
order the following numbers from least to greatest.
4.6 ⋅ 10^9, 7.3 ⋅ 10^9 , 3.9 ⋅ 10^15 , 2.1 ⋅ 10^18
Answer:
correct
Step-by-step explanation:
Convert the decimal 0.6333… to a fraction and classify it as either rational or irrational.
A. 57⁄9, irrational
B. 57⁄90, rational
C. 63⁄90, rational
D. 63⁄99, rational
answer B
We assume x= 0.6333
100x = 63.3333
10x= 6.333 33 (subtract it )
----------------------------
90x = 57 ( divide by 90 on both sides)
So x= [tex]\frac{57}{90}[/tex]
Answer : [tex]\frac{57}{90}[/tex]
When we can write a number in fraction form then it is a rational number.
We converted the decimal number into a fraction so it is rational
The answer is B. 57/90, rational.
HELP ME HAVING TROUBLE!!!
In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins . In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning
Ratio of peanuts to raisins in the first version of a trail mix = 3:2.
Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.
Divide the ratio by 1.5.
Ratio for second mix = 3:2.
Hence, the ratios are equivalent for the two mixtures.
The ratios are equivalent
The ratios are equivalent because when they are simplified, they both are 1.5 : 1
Ratio shows the relationship that exists between values. It shows the proportion of one value in another value.
Ratio of peanuts to raisins in the first version = 3 : 2
To simplify, divide both numbers by 2
1.5 : 1
Ratio of peanuts to raisins in the second version = 4.5 : 3
To simplify, divide both numbers by 3
1.5 : 1
The ratios of the first and second trail mix are equivalent.
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At a pet show, There are dogs, cats and rabbits. There are 480 contestants altogether. 1/2 of the contestants are cats, 1/6 of the contestants are rabbits. How many dogs are there? What fraction of the contestants are dogs?
The fraction of the contestants are dogs which are 17/48.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that there are dogs, cats, and rabbits.
480 contestants altogether. 1/2 of the contestants are cats, and 1/6 of the contestants are rabbits.
Total = 480
Cats = 1/2 x 480 = 240
Rabbit = 1/6 x 480 = 70
Then; the Number of dogs are
480 - 70 - 240
= 170
Therefore, a fraction of the contestants are dogs which is
170/480 = 17/48
Hence, the fraction of the contestants are dogs which are 17/48.
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find the slope of the line
answer:
slope: -[tex]\frac{3}{4}[/tex]
step-by-step explanation:
for this problem we are asked to find the slope of the line
our equation for slope is: [tex]\frac{rise}{run}[/tex]
so using our graph we need to find both the rise and run to get from one point to another
going from the point (-2, -2) to (2, 5)
rise: -3 (it is negative because we are moving down)
run: 4
so now plug this into our slope equation: [tex]\frac{rise}{run}[/tex]
making our equation -[tex]\frac{3}{4}[/tex]
We can use the points (-2, -2) and (2, -5) to solve.
Formula: y2-y1/x2-x1
= -5-(-2)/2-(-2)
= -3/4
Best of Luck!
Drag each figure or fraction to show the decimal it represents.
The decimal equivalent of the fractions and models are ;
0.40.40.750.40.750.9Evaluating the fractions given ;
A.)
2/5 = 0.4
b.)
The number of portions in the circle = 10
Number of shaded portions = 4
Expressing as a fraction;
4/10 = 0.4
c.)
The number of portions in the rectangle = 4
number of shaded portions = 3
Expressing as a fraction;
3/4 = 0.75
d.)
The number of portions in the square grid = 100
number of shaded portions = 40
Expressing as a fraction;
40/100 = 0.4
e.)
75/100 = 0.75
f.)
90/100 = 0.9
can some one help me please
First one 18 yards Second one:204 inches Third :36 foot
Please help, i did it just dont want to get a bad grade for homework so need somone to double check.
A. [tex]f(-5)=7+|-5|=12[/tex]
B. [tex]g(4)=4^3-5=59[/tex]
C. [tex]f(0)=7+|0|=7[/tex]
D. [tex]f(2)=7+|2|=9[/tex]
E. [tex]g(-2)=-2^3-5=-13[/tex]
Hope this helps BangtanBoyScouts
The area of a rectangular vegetable garden is 200ft^2 . The width is 10 ft. What is the lenght of the vegetable garden?
The length of the rectangular vegetable garden will be 20 feet.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L × W square units
The region of a rectangular vegetable nursery is 200 square feet. The width is 10 feet.
The length of the rectangle will be given as,
200 = 10 L
L = 200 / 10
L = 20 feet
The length of the rectangular vegetable garden will be 20 feet.
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You are remodeling your kitchen. You’ve contacted two tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. Jim completed half the floor in 12 hours . Pete completed the other half in 10 hours. If Pete can lay 25 more tiles per hour than Jim, what equation would you use to find the rate that Jim can lay tiles. Let x represent Jim’s rate
As given, let Jim's rate = x
Let Pete's rate =y
Jim completed half the floor in 12 hours so it's [tex]12\times rate[/tex]= 12x
Pete completed the other half of the floor in 10 hours so its [tex]10\times rate[/tex]=10y
As floor area is equal so,
[tex]12x=10y[/tex] .............(1)
Now, given is that Pete can lay 25 more tiles per hour than Jim, this gives=
[tex]y=x+25[/tex] ...... (2)
Putting the value of y from equation (2) in equation (1) , we get
[tex]12x=10(x+25)[/tex]
So, the equation is : [tex]12x=10(x+25)[/tex]
If you want to solve it, it becomes:
[tex]12x=10x+250[/tex]
[tex]2x=250[/tex]
[tex]x=125[/tex]
Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.
Answer:
12x=10(x+25)
Step-by-step explanation:
apex
This is hard for me :(
Remark
A
You can do the same thing with a program called Desmos. Using this program, I've put A and B (the graphs) in Desmos and attached it to this Answer.
You could just do the same with your graphing calculator if you have one.
The problem is that my graphing calculator won't draw the blue line which is x = - 2
So go to Desmos and put in 2 graphs. the first one is y = - 1/2 x + 3 in red
The second is x =- 2. These are entered on the left of Desmos.
The blue line is x = - 2. You notice that the intersect point is (-2,4). Run your finger straight across until you hit 4. That's all you have to do for the A part.
B
The question has 3 blanks. The first 2 come from the question directions to see if you read those directions. Always a good idea to do that.
first blank is x = - 2
second blank is x = - 2
Third blank is - 7
The red line is y = 3/2 x - 4
The blue line is x = -2