Answers
Answer:
x = -5Step-by-step explanation:
Given,
6(x-3) = 11x + 7
=> 6x - 18 = 11x + 7
=> 11x - 6x = -18 - 7
=> 5x = -25
[tex] = > x = \frac{ - 25}{5} [/tex]
=> x = -5 (Ans)
[tex]\large\bf{\red{ \bullet}} \: \tt \:\: 6(x - 3) \: = \: 11x + 7[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \:\:6x \: - \: 18 \: = \: 11x \: + \: 7[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \:\: - 7 \: \: - 18 \: = \: 11x \: - \: 6x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: \: - 25 \: = \: 5x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: \cancel\frac{-25}{5} \: = \: x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: - 5 \: = \: x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: \: x \: = \: - 5[/tex]
Related Questions
Write 96% as a fraction.
Answers
Answer:
Directly, it would be 96/100. However, we can reduce it to become 48/50 = 24/25.
(underlined is simplest answer)
24/25
Step-by-step explanation:
96%
=96/100
=24/25
answer
1/2. Divided by 2/12 picture
Answers
1/2 divided by 2/12 or 1/6 would be 3.The reciprocal of 1/6 is 6 and multiplied with 1/2 = 3.
Answer:
3
Step-by-step explanation:
[tex] \frac{1}{2} \div \frac{2}{12} [/tex]
➡️ [tex] \frac{1}{2} \times \frac{12}{2} [/tex]
➡️ [tex] \frac{1}{2} \times 6[/tex]
➡️ [tex] = 3[/tex] ✅
simplify (2/3 of 21/4)
Answers
Answer: 3 1/2
Step-by-step explanation:
"Of" is the same as multiplication so,
2/3 × 21/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2 × 2/13 × 4 = 42/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using
GCF(4/2 , 1/2) = 6
4/2 ÷ 6 1/2 ÷ 6 = 7/2
The fraction
7/2
is the same as
7÷2
Convert to a mixed number using
long division for 7 ÷ 2 = 3R1, so
7/2 = 3 1/2
Therefore:
2/3 of 21/4 = 3 1/2
Hopefully, I Helped
how many litters is in a gallon
Answers
Answer:3.785 liters
Step-by-step explanation:
Answer:
1 gal = 3.78541
Step-by-step explanation:
A quick search will do it.
help me now where are you all helppppp
Answers
Q7
7/25
(Decimal: 0.28)
Step-by-step explanation:
Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator:
= 7/25
= 7 ÷ 25
= 0.28
Zip codes are numerical designations of locations for the purpose of mail delivery. The following histogram summarizes the number, in hundreds, of zip codes assigned to each state in the United States.
According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Choose 1 answer:
Answers
There are zero number of outliers in data set.
What are [tex]1.5[/tex] IQR rule for outliers ?The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.
And,
[tex]IQR=Q_{3} -Q_{1}[/tex]
We have,
[tex]Q_{1}= 275[/tex]
[tex]Q_{3} = 933[/tex]
Minimum [tex]= 1[/tex]
Maximum [tex]= 2596[/tex]
Median [tex]= 533[/tex]
Now,
[tex]IQR=Q_{3} -Q_{1}[/tex]
IQR [tex]=933-275=658[/tex]
So,
[tex]Q_{1} -1.5\ IQR[/tex]
[tex]=275-1.5*658[/tex]
[tex]=-712[/tex]
So, any data point lower than this is the low outlier.
As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.
Hence, we can say that here are zero number of outliers in data set.
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Answer:
The correct answer is 3.
Step-by-step explanation:
(2x³)⁴= ? What is the right answer, with full explanation please:
A. 16x⁷
B. 16x¹²
C. 8x⁷
D. 8x¹²
Answers
2 times 4 is 8
4 times 3 is 12
Then you plug it In 8x^12
So your answer is D
Hope this helps *smiles*
The required simplified value of the given expression is 16x¹². Option B is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
=(2x³)⁴
As we know that,
[xᵃ]ᵇ = xᵃˣᵇ
So,
(2x³)⁴ = 2⁴x³ˣ⁴
= 16x¹²
Thus, the required simplified value of the given expression is 16x¹².
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A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
Answers
First calculate distances or lengths(Refer to attachment)
A:-
[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-
Refer to the attchment
C:-
[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-
EH>OH
E:-
[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Answer:
The coordinates of the HOUSE:
H(-7, 1), O(1, 6), U(4, 1), S(4, -8), E(-7, -8)Part ATo find the perimeter first find the length of each side:
OH = [tex]\sqrt{(1 +7)^2+(6-1)^2} = \sqrt{64+25} =\sqrt{89}[/tex] ≈ 9.43 unitsOU = [tex]\sqrt{(4-1)^2+(1-6)^2} = \sqrt{9+25} = \sqrt{34}[/tex] ≈ 5.83 unitsUS = 1 - (-8) = 9 unitsSE = 4 - (-7) = 11 unitsEH = 1 - (-8) = 9 unitsThe perimeter is:
P = 9.43 + 5.83 + 9 + 11 + 9 = 44.26 unitsPart BOH = 9.43 units (see part A)Part CUse midpoint formula:
x = (4 + 1)/2 = 2.5y = (1 + 6)/2 = 3.5The point is (2.5, 3.5)
Part DOH = 9.43 units > EH = 9 units (see part A)Part E P(ΔHOU) = OH + OU + HU (or SE) = 9.43 + 5.83 + 11 = 26.26 unitssolve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.
Answers
Answer:
x = - 6, y = - 29
Step-by-step explanation:
Elimination:
2*(-5x + y = 1) = -10x + 2y = 2
9x - 2y = 4 = + (9x - 2y = 4) =
-x = 6
x = -6
9(-6)-2y=4
-54-2y=4
-2y=58
y=-29
I left home at 5:30 am
7.250m and arrived at school at 7:25am how many seconds did I take to reach school
Answers
Vito avido is a sales representative for a company that sells roofing material. he receives a graduated commission of 5 percent on the first $5,000 of sales, 6.5 percent on the next $15,000, and a 7 percent on sales over $20,000. What is his commission on $23,458 in sales?
Answers
Hence commission will be 7%
[tex]\\ \rm\longmapsto 23458\times \dfrac{7}{100}[/tex]
[tex]\\ \rm\longmapsto \dfrac{164206}{100}[/tex]
[tex]\\ \rm\longmapsto 1642.06[/tex]
Vito Avido's commission on $23,458 in sales is $1466.06.
Here, we have to calculate Vito Avido's commission on $23,458 in sales, we'll break down the sales amount into different ranges and apply the respective commission rates for each range.
For the first $5,000 of sales: 5% commission
Commission = 5% of $5,000 = 0.05 * $5,000 = $250
For the next $15,000 of sales: 6.5% commission
Commission = 6.5% of $15,000 = 0.065 * $15,000 = $975
For the remaining amount over $20,000: 7% commission
Sales above $20,000 = $23,458 - $20,000 = $3,458
Commission = 7% of $3,458 = 0.07 * $3,458 = $241.06
Now, add up the commissions from each range:
Total Commission = $250 + $975 + $241.06 = $1466.06
Vito Avido's commission on $23,458 in sales is $1466.06.
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Enter the correct answer in the box.
Linear function is shown in the graph. Write the slope-intercept form of the equation representing this function.
Y
10
8
6-
4
2
-75
-8
-6
X
- 5
-4
O
4
6
8
10
-2-
-4
-6-
N
-84
Answers
Answer:
Slope = 3
y-intercept: - 7
y = 3x -7
Step-by-step explanation:
Jane bought 23 pounds of flour for $11 how many pounds of flour did she get pre dollar
Answers
Answer:
2.090 pounds
Step-by-step explanation:
11 dollars
23 pounds
dollars ÷ pounds = pounds per dollar
23 ÷ 11 = 2.090 pounds8
Answer:
Step-by-step explanation:
23 lbs / $11 = 2.09 lb/$
The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?
Answers
Answer:
fraction of blue beads = 7/(4+7)
= 7/11
Answer:
3:5
Step-by-step explanation:
find a common numeral
your monthly salary increases from $2,200 to $2,376. what percent is your raise?
Answers
Answer:
8%
Step-by-step explanation:
(2376-2200):2200x100%=8%
Which set of ordered pairs represents a function?
{(3,6), (3, 1), (9,0), (2, 2)}
{(2,-5), (-3, 6), (-1, -8), (-3,-4)}
{(4, -7), (-2, -1), (-7,4), (9, -1)}
{(3,8), (-2,-9), (1,4), (1,9)}
Answers
Answer:
{(4, -7), (-2, -1), (-7,4), (9, -1)}
Step-by-step explanation:
Every other set of ordered pairs has an x-value that has more than one y-value. This is against the rules of a function. Therefore, {(4, -7), (-2, -1), (-7,4), (9, -1)} represents a function.
In the figure, angle DEF is 34x + 11, angle DEG is 2x + 24, and angle GEF is 3x + 12. The value of x is ___.
Answers
Answer:
25/29
Step-by-step explanation:
34x+11=2x+24+3x+12
34x+11=5x+36
34x-5x=36-11
29x=25
x=25/29
Which word begins with an open syllable?
silly
sister
sofa
softer
Answers
The word sofa begins with an open syllable.
Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.
In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.
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suppose the functions u and w are defined as follows u(x)=x+9 w(x)=the square root of x+8 find the following (wou)(8)= (uow)(8)=
Answers
Answer:
5 and 13
Step-by-step explanation:
To evaluate (w ￮ u)(8) , evaluate u(8) then substitute the value obtained into w(x) , that is
u(8) = = 8 + 9 = 17 , then
w(17) = [tex]\sqrt{17+8}[/tex] = [tex]\sqrt{25}[/tex] = 5
---------------------------------------
To evaluate (u ￮ w )(8) , evaluate w(8) then substitute the value obtained into u(x) , that is
w(8) = [tex]\sqrt{8+8}[/tex] = [tex]\sqrt{16}[/tex] = 4 , then
u(4) = 4 + 9 = 13
Answer:
Step-by-step explanation:
[tex]u(x)=x+9\\\\w(x)=\sqrt{x+8} \\\\(wou)(x)=u(w(x))=u(\sqrt{x+8} )=\sqrt{x+8}+9\\(wou)(8)= \sqrt{8+8}+9=4+9=13\\\\\\(uow)(x)=w(u(x))=w(x+9)=\sqrt{x+9+8}=\sqrt{x+17}\\(wou)(8)= \sqrt{8+17}=\sqrt{25}=5\\\\[/tex]
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Kane's Furniture Store advertised a table at a 11% discount. The original selling price was $111, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. No, the sale price was s higher than it should have been
(Round to the nearest cent.)
OB. No, the sale price was $ lower than it should have been
(Round to the nearest cent.)
OC. Yes, the sale price was consistent with the ad, because it represents a 11% discount.
va
Vi
(11)
More
Click to select and enter your answer(s) and then click Check Answer.
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Check
Answers
Answer:
A. No, the sale price was 1.21 higher than it should have been
Step-by-step explanation:
First find the discount
111 * 11%
111 * .11
12.21
Subtract this from 111
111-12.21
98.79
The sale price should have been 98.79
100-98.79
1.21
If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answers
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
The graph represents a function.
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
O (0,0)
0 (-3,1)
0 (1,3)
O (31)
Answers
If we consider the ordered pair (0,0) then only the graph still represents a function.
How to define a graph represent a function?
In a function, there can not be two different values of x corresponding to the same value of y.
Here, the points on the graph are (0,0), (-3,1), (1,3) and (3, 1).
If we consider point (-3,1) then there will be two points corresponding to the same y value i.e. (-3,1) and (3, 1).
The values of x for a single value of y.
i.e. y = 1.
So, if we consider the ordered pair (0,0) then only the graph still represents a function. Therefore, the correct answer is option (a) (0,0).
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What is 10% Compound interest of R15 000 every month for 3 years?
Answers
Answer:
19500
Step-by-step explanation:
30/100 X 15000 = 4500
15000 + 4500 = 19500
Answer:
A = $19,965.00
A = P + I where
P (principal) = $15,000.00
I (interest) = $4,965.00
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 15,000.00(1 + 0.1/1)(1)(3)
A = 15,000.00(1 + 0.1)(3)
A = $19,965.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 10% per year compounded 1 times per year over 3 years is $19,965.00.
1. Dorothy was able to answer yes to 16/25 of the survey questions. What is 16/25
written as a decimal?
Answers
Answer:
16/25 as a decimal is 0.64
Step-by-step explanation:
Joseph wants a television for his
birthday that originally cost $740. Right
now, the television is on sale for 40%
off! Joseph's dad agreed to buy it, as
long as Joseph pays for 30% of the cost.
How much will Joseph have to pay?
Answers
Answer: $133.20
Step-by-step explanation:
100%-30%=70%
70 as a decimal is 0.7.
0.7 times 740 is 518
Select the correct answer. Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3? A.It is the graph of f(x) translated 3 units down. B.It is the graph of f(x) translated 3 units to the left. C.It is the graph of f(x) where the slope is decreased by 3. D. It is the graph of f(x) translated 3 units up.
Answers
Answer: Choice A) translated 3 units down
Explanation:
x is the input while y = f(x) is the output. If we say f(x) - 3, then it's the same as saying y - 3. This means g(x) = f(x) - 3 subtracts 3 from each y coordinate of the points on f(x). This visually moves the entire f(x) curve down 3 units
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?
Answers
Answer:
7/17
Step-by-step explanation:
A music store sold 103 CDs and 102 CD players. If each CD costs $12
and each CD player costs $35, what was the store's total earnings?
$15,500
© $36,200
$24,500
0 $47.000
Answers
Answer:
$15,500
Step-by-step explanation:
It would help if you put the actual question in place
10³ CDs = 1000 at $12 each = $12000
+ 10² Players = 100 at $35 each = $ 3500
Total $15500
103(12) + 102(35) = $4806
y + (2/25) = 11/15
What’s y
Answers
Answer:
[tex]\frac{49}{75}[/tex]
Step-by-step explanation:
y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]
y= [tex]\frac{49}{75}[/tex]
Answer:
49/75
Step-by-step explanation:
y + 2/25 = 11/15
now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :
15y + 30/25 = 11
375y + 30 = 275
375y = 245
y = 245/375 = 49/75
the same result, of course, but a slightly different way to get there.
Select the matrix multiplication that transforms vector A to
vector B
Answers
Answer:
Option C.
Step-by-step explanation:
Notice that only option B and C involves the vectors in transformation
[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]
However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.
