Answer:
12x - 6 ≤ - 18
Step-by-step explanation:
We will call "a number" x so
Twelve times a number would be:
12x
Then minus 6
12x - 6
Now we add the less than or equal to sign.
12x - 6 ≤
This is equal to negative eighteen, so:
12x - 6 ≤ - 18
As a bonus we can also solve for x.
12x - 6 = - 18 Add 6 to each side.
12x - 6 + 6 = -18 + 6
12x = -18 + 6
12x = -12 Divide each side by 12
12x/12 = -12/12
x = -12/12
x = -1
So we can say when x ≤ -1 Then 12x - 6 ≤ -18
To make grape juice by using frozen juice concen-trate, you must mix the frozen juice concentrate with water in a ratio of 1 to 3. How much frozen juice concentrate and how much water should you use to make 11 this problem in two different ways by reasoning about multiplication and division with quanti-ties, explaining your reasoning in each case.
Answer:
To make 11 grape juice, you will need:
11 (1 * 11) frozen juice concentrate and
33 (3 * 11) water.
Step-by-step explanation:
Since you are making 11 grape juice containers and each container requires 1 frozen juice concentrate and 3 quantities of water, to get the maximum quantities of ingredients required, you will multiply each ingredient by 11.
With the sum of ratio as 4 (1:3), we can also say that 44 (4 * 11) units of both frozen juice concentrate and water are required to produce 11 units of the grape juice. Dividing 44 by 4 also gives 11 units. Similarly, dividing the total ingredients of the frozen juice of 11 units by 11 juice concentrate gives 1 unit each and dividing 33 units by 11 quantity of water gives 3 units each in every unit of the juice produced.
ezekiel has $250 in his bank account he deposts $35 from his birthday and then buys clothes for school for $75
Answer:
$140
Step-by-step explanation:
i assume ur asking for how much is left over
250-35= 215
215-75= 140
$140 left
Angle RST below is a right angle. What is the measure, in degrees, of
Answer:
RSM = 56.4
Step-by-step explanation:
RSM + MST = RST
RSM + 33.6= 90
Subtract 33.6 from each side
RSM + 33.6 - 33.6= 90-33.6
RSM= 90-33.6
RSM = 56.4
RST is a right angle, and right angles are 90 degrees
RST = 90 degrees
MST = 33.6 degrees
RSM = ?
The angles MST and RSM add up to 90 degrees
90 = 33.6 + RSM
Subtract 33.6 from both sides
56.4 degrees = RSM
These tables of values represent continuous functions. For which functions will the y-values be the greatest for very large values of x?
∆....A....∆
1 6
2 18
3 54
4 162
5 486
The function with the greatest y-values for very large values of x is C.
The y-values in function C increase at a much faster rate compared to the other functions as x becomes larger. In function C, the y-values are growing with a constant difference of 200 for each increase in x. This means that for every unit increase in x, the y-value increases by 200. This linear relationship results in significantly larger y-values for larger x-values.
On the other hand, the other functions (A, B, and D) do not exhibit such rapid growth. Function A has a cubic relationship, which does lead to larger values than a linear relationship, but it is still not as rapid as the linear increase in function C. Function B also has a linear relationship, but the constant difference between y-values is much smaller than in function C (only 75).
Function D has a constant difference of 5 between y-values, resulting in a very slow growth as x becomes larger.
In conclusion, function C has the greatest y-values for very large values of x due to its linear relationship with a constant difference of 200 between y-values for each unit increase in x.
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The circumstance of a circle is 36pi inches what is the radius for this circle
Circumference = 2pi*r
r = radius
In our problem,
circumference = 36pi
r = ?
Let's plug our values into the formula above.
36pi = 2pi * r
Divide both sides by 2pi
18 = r
Please help. Look at the picture
Answer:
QR = 16
Step-by-step explanation:
Because PML ~ TRQ
So PM / TR = ML / RQ
35 / 14 = (7x-9) / (2x+2) = 5/2
2(7x-9) = 5(2x+2)
14x-18 = 10x + 10
4x = 28
x= 7
=> QR = 2(7) + 2=16
Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years. Price (cents per pound) Deforestation (percent) 25 0.31 49 1.69 60 1.66 55 1.7 68 3.31 (a) Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show? Price is the explanatory variable. The plot shows a negative linear association. Price is the explanatory variable. The plot shows a positive linear association. Price is the explanatory variable. The plot shows no linear association. Deforestation is the explanatory variable. The plot shows a positive linear association.
Answer:
The plot shows a positive linear association. Price is the explanatory variable.
*See attachment for the scatterplot of the data
Step-by-step explanation:
The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.
The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.
When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.
The data given below is what we would use in plotting the scatterplot shown in the attachment:
Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)
25 => 0.31
49 = > 1.69
60 => 1.66
55 => 1.7
68 => 3.31
The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.
graph y minus 3 equal one half (x+2)
- Complete the following paragraph proof.
Given: 44 -2(3x + 4) = -18
Prove: x = 9
Use a graphing utility to graph the equation. Use a standard setting. y = x2 − 5x + 6
what is the slope of the line ?
Answer:
The slope is -1.
Answer:
-1
Step-by-step explanation:
To solve follow the formula Y1-Y2 over X1-X2, pick two points like (0,2) and (1,1) then plug them in.
2-1 over 0-1 which equals -1/1
On Monday a team of street sweepers cleaned 4 city blocks. Tuesday, the team cleaned 2 1/6 times as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?
1/5 is the answer :0000
There will be twelve and a half city blocks of the street sweepers clean on Tuesday.
What is a fraction?The numerator, which is found at the top of the fraction number, and the denominator, which is located at the bottom, are its two component components.
It is given that, four city blocks were cleaned by a crew of street sweepers on Monday. The crew cleaned 2 1/6 as many blocks on Tuesday as they did on Monday.
Suppose the number of city blocks the street sweepers cleaned on Tuesday will be x,
x = 4 + 2 1/6 × 4
x=4+13/6×4
x=12.6≈ 12 1/2
Thus, the street sweepers will clean twelve and a half city blocks on Tuesday.
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Explain how to find the LCM of 8 and 10
Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.
Step-by-step explanation:
Answer:
Start by listing the first five multiples of each number. Then circle the common multiples
Step-by-step explanation:
-200 + {37}{3}4.5) -200 + 55.5
Answer:
-294.55
Step-by-step explanation:
-200+ 49.95 -200 +55.5
49.95+55.5-200-200
-294.55
Decide whether or not the matrices are inverses of each other.
[6 - 5]
[ -3 5 ] and [1/3 1/3 ]
[ 1/5 2/5]
A) No B) Yes
Answer:
Yes, the matrices are inverses of each other.
Step-by-step explanation:
Kindly check attached picture for the organized question and answer
Solve for Xon the following Equations.
1. 4 + 7 x X = 22
Step-by-step explanation:
4 + 7 x X = 22
4+7x=22
7x=22-4
7x=18
x=18/7
Are the two triangles below similar?
PLEASE HELP ME!!!!!!!!!!
Answer:
im going with number 3 sorry if im wrong
Step-by-step explanation:
Answer:
Yes; they have congruent corresponding angles.
Step-by-step explanation:
The two triangles are similar because their angles measure are the same. This is because 70 + 28 + 92 = 180 degrees and all Euclidean triangles angles measures must have a sum of exactly 180 degrees.
Identify three of the key messages used by advertisers when promoting their products.
Answer:
1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."
Step-by-step explanation:
if the population there increased by 15,183 people every week how many more people would be in Mexico city everyday?
Answer:
The answer is 2169
Step-by-step explanation:
You would do 15,183 x 7 because there are seven days in a week.
Please please help me on that.
Simplify
(2x– 3) (5x4 – 7x3 + 6x2 – 9)
A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27
Answer: (A)=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Answer:
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
9. Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . . options: A) 25 B) 48 C) 42
Answer:
C. 42.
Step-by-step explanation:
This is an arithmetic sequence with common difference d = 4 and first term a = -3.
Sum of n terms = (n/2)[2a + (n - 1)d]
Sum of six terms = (6/2)[2(-3) + (6 - 1)4]
= 3 * (-6 + 20)
= 42.
Answer:
C) 42
Step-by-step explanation:
Given is an Arithmetic Sequence, where
First term a = - 3
Common Difference d = 1-(-3)= 4
n = 6
[tex]S_6=? \\ \\ \because \: S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_6 = \frac{6}{2} \{2 \times ( - 3) + (6 - 1)4 \} \\ \\ \therefore \: S_6 = 3 \{ - 6 + 20\} \\ \\ \therefore \: S_6 = 3 \times 14 \\ \\ \huge \red{ \boxed{ \therefore \: S_6 = 42}}[/tex]
solve for x). -1/3x < -6 . Enter the solution to the inequality
Answer
x≥18
Step-by-step explanation:
3) Find the total cost of a $14.50 movie with a 30% markup.
Answer:
18.85
Step-by-step explanation:
There were 40 students who auditioned for the school play, 3/4 of them were called back for a second audition. How many students were called back for another audition?
Answer:
30 students
Step-by-step explanation:
Number of students called back for second audition
[tex] = \frac{3}{4} \times 40 \\ \\ = 3 \times 10 \\ = 30[/tex]
Answer:
30 students were called back for audition
Step-by-step explanation:
every 1/4=10 student so 3/4 will be 30 students altogether
How would the underline look like
Answer:
the correct answer is C
g Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score
Answer:
69
Step-by-step explanation:
Answer:
Z score=2.46.
Step-by-step explanation:
The Z score for sample mean $31,650 can be computed by using following formula
[tex]Z=\frac{xbar-Population mean}{\frac{sigma}{\sqrt{n} } }[/tex]
Here, sample mean=xbar=31650
population standard deviation=sigma=3339
population mean=29056
and sample size=n=10.
[tex]Z=\frac{31650-29056}{\frac{3339}{\sqrt{10} } }[/tex]
[tex]Z=\frac{2594}{1055.885}[/tex]
Z=2.4567
Z=2.46 (rounded to two decimal places).
Hence the resultant z-score is 2.46.
marcus wants to buy candy. He has 5$. Each candy bar cost 75 cents. how many candy bars can he buy? define the variable you would use to solve the problem.
Answer:
5*75
Step-by-step explanation:
Answer:6
Step-by-step explanation:
If you divide 5.00 by 0.75 and you'll get 6.6666666667 and it says how many candy bars so it will be 6 because the other point and lower stuff isn't a whole candy bar
The copper content of 18-carat gold was measured by two methods for six different samples collected from a jewelry production plant. Sample Method 1 Method 2 A 2.2% 2.5% B 1.8% 2.2% C 2.5% 3.0% D 3.0% 3.2% E 2.6% 2.3% F 2.6% 2.7% Which test would you use to determine if the results obtained by the two methods agree within experimental error?
Full question attached
Answer:
Paired t test
Explanation:
The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.
r/4 - 1.4 =1.58 what should be the first step?
Answer:
R/4 - 1.4 =1.58
R/4 = 1.58 + 1.4
R/4 =2.98
r=11.92
Step-by-step explanation: