[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅
Step-by-step explanation:-
[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]
To verify:-
[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
a+b+c=68
a-b=5
b:c=3
-------------------
a,b,c=?
-------------------
Answer:
a = 32
b= 27
c = 9
Step-by-step explanation:
a= 5+ b from the second equation
c= b/3 from the third equation
substitute the above equations to the first equation then solve for b your answer will be 27
substitute the value of b in the second equation you will solve for a
perform the same substitution to the third equation you will get the answer for c
Step-by-step explanation:
a-b=5<=>a=5+b (1)
b:c=3<=>b=3c (2)
a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68
<=>7c=63<=>c=9
Fill in (2), we have b=3c=3.9=27
and in (1), we have a=5+b=5+27=32
So, a=32, b=27, c=9
Question 2 of 10
If you apply the changes below to the quadratic parent function, f(x) = x2,
what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x) = -3(x-1)2
B. g(x) = -3(x + 1)2
C. g(x) = (-3x+1)
D. g(x) = -3x2 - 1
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.
To find:
The function after the given transformations.
Step-by-step explanation:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] ... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If k<0, then the graph of f(x) is reflected over the x-axis.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the graph of f(x) shifts 1 unit left, so a=1.
The graph of f(x) vertically stretch by a factor of 3, so |k|=3.
The graph of f(x) reflected over the x-axis, so k=-3.
There is no vertical shift, so b=0.
Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get
[tex]g(x)=-3f(x+1)+0[/tex]
[tex]g(x)=-3f(x+1)[/tex]
[tex]g(x)=-3(x+1)^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the correct option is B.
Im so confused so PLS HHELP !!!!!! ;-;
Answer:
Step-by-step explanation:
let -2/3 be the rational number and 9 be the positive real number
according to the given of indices this tis can be written as
[tex]9^{-2/3}[/tex]
[tex](3)^{2*-2/3}[/tex]
[tex]3^{-4/3}[/tex]
1/3^4/3
|7|
What does this mean?
Absolute value of 7. Any real numbers in the absolute sign would equal to the positive value.
Definition
[tex] \large \boxed{ |x| = \begin{cases} x \: \: \: \: (x \geqslant 0) \\ - x \: \: \: \: (x < 0) \end{cases}}[/tex]
If we substitute x = 7 in. Answer by using the definition of absolute value. Note that we only substitute x = 7 in x and not -x since 7 is greater than 0 and not less than 0.
[tex] \large{ |7| = 7 \: \: \: \: (x \geqslant 0)}[/tex]
You may also be wondering what will happen if we substitute x = any negative numbers.
[tex] \large{ | - 7| = - ( - 7) \: \: \: \: (x < 0)} \\ \large \boxed{ | - 7| = 7}[/tex]
Because -7 is less than 0. We substitute in -x and not x. This is the definition of absolute value. But to understand it easily, any numbers in absolute value have to equal to their positive value.
Conclusion
|7| means the absolute value of 7.|7| is 7.|x| is x when x ≥ 0 but -x when x < 0Let me know if you have any doubts regarding the absolute value through comment!
help please!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
.........................
Jessie made 312 energy bars. She puts 24 bars in each bag. She plans to sell the bags for $6 each. How much will she earn if she sells all of the bags? Will give brainliest.
Answer:
she will make 78 dollars
Step-by-step explanation:
312 divided by 24 is `13
13 times 6 is 78
Please helpppppp 7th grade mathhh
Answer:
10 quarts
thank you
i think
Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D
Answer:
29 times
Step-by-step explanation:
Given :
Society C ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society D:
Population = 19
Common fact = 5
Specialized fact = 5 * 10 = 50
Total facts = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society D is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
18/30
G
35 m
Find the value of x:
H
18 m
30 m
Answer:
21 is the answer
Step-by-step explanation:
from the figure it can be seen that
angle G = angle J
angle H = angle K and
angle I = angle L
thus triangle GHI is similar to triangle JKL and in 2 similar triangles the ratio of their corresponding sides is same. that means
[tex] \frac{hi}{kl} = \frac{gi}{jl} \\ \frac{18}{30} = \frac{x}{35} \\ x = \frac{18}{30} \times 35 \\ x = \frac{3}{5} \times 35 \\ x = 3 \times 7 \\ x = 21[/tex]
4. 12 ½ % of a sum of money is $40. What is the sum of money?
Answer:
$320
Step-by-step explanation:
12.5 % is 40
12.5% is 8% of 100%
so do 40 x 8 = 320
Suppose your mother can clean your kitchen in 30 minutes. You can clean the kitchen in 45 minutes. How long will it take you and your mother to clean the kitchen working together? (write equation and show work to solve)
Answer:
it will take 18 min
Step-by-step explanation:
1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18
Hhhheeeelllllpppppppp
Answer:
35square meters
Step-by-step explanation:
5×7=35
Answer please thanks. Brainliest
Answer:
its the 3rd answer
Step-by-step explanation:
Answer:
t-h=negative
Step-by-step explanation:
Helppppppppp meeeeee
Answer:
y=-1
Step-by-step explanation:
y=-1 just shows the y value which means its just a horizontal line which is parallel to the x axis.
There were 24 1/4 crates of tomatoes in the barn but 7 3/5 crates of tomatoes were rotten and had to be thrown out. Joe sold 8 1/3 crates and canned 7 5/6 crates of tomatoes. How many crates of tomatoes were left?
Answer:
29/60 of the crates are left behind.
Step-by-step explanation:
Total number of crates = 24 1/4= 97/4
Rotten tomatoes crates = 7 3/5= 38/5
Joe sold crates = 8 1/3= 25/8
Canned crates of tomatoes =7 5/6= 47/6
Therefore
24 1/4 - 7 3/5 - 8 1/3 - 7 5/6
= 97/4-38/5-25/3-47/6
= (97*5-38*4)/20 - (25*2+47)/6
= 485-152/20 - 97/6
= 333/20-97/6
= 333*3-97*10/60
=999-970/60
=29/60
29/60 of the crates are left behind.
This question is solved in 2 steps.
First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.
Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.
Simplify cot x - cos to the power 3 x csc x
what is the corrct answer
Mark is receiving a pay rise of 7%. He currently earns £15,000. How much will Mark earn after his pay rise?
Answer:
£16,050
Step-by-step explanation:
Mark's current pay is £15,000.
His pay raise is 0.07(£15,000), or £1,050
His new pay is the sum of these two results: £15,000 + £1,050 = £16,050
Please help!!!!!!!!!!!!
EVALUATE 5/9 -1/4.............
Answer:
11/36
Step-by-step explanation:
Answer:
0.30555555555
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION. A circle has a circumference of 36.
What is the area of the circle? Take the pi to be 3.142. State the answer to the nearest whole
number.
Answer:
The correct answer is - 103.13
Step-by-step explanation:
Given:
Circumference (C) = 36
Area =?
Formula:
Formula of area
A=πr2
formula of circumference
C=2πr
Solution:
C= 36 given so
36 = 2*3.142*r (r is radius)
r = 36/6.284
= 5.729
Putting the value of r in the formula of Solving for Area
A = 3.142*(5.729)^2
= 3.142*32,821
= 103.1124 or 102.3
PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 3 metres.
Work out d (rounded to 2 DP) when F=0.035 Newtons.
Answer:
1.24 m
Step-by-step explanation:
F ∝ 1/d²
F = k/d²
Use values given to solve for k
0.006 = k/3²
k = 0.054 (I multiplied both sides by 3² in the equation above)
New equation is F= 0.054/d²
Plug in your numbers so 0.035 = 0.054/d²
0.054/0.035 = d²
You can simplify if you want so d² = 54/35
Square root both sides to solve for d
√54/35 = 1.24 m
Can some please help me? ~ASAP~
Answer:
B 12 ^ 1/2 x^ 3/2
Step-by-step explanation:
sqrt( 12x^3)
Rewriting the square root as a fractional power
12 ^ 1/2 x^3^1/2
We know that a^b^c = a^ (b*c)
12 ^ 1/2 x^ 3/2
Answer:
B. 12^1/2 x^3/2
Step-by-step explanation:
For example, x^3/2 is equivalent to √x³. The numerator of the exponent represents that number's exponent and the denominator represents the number root.
Given right triangle ABC, which of the following statements must be true
Check all that apply.
A. sin A = Cos(90° - A)
B. cosA = sin C
C. ZA and ZC are supplementary
D. sin A = Cos(90°-C)
A + B are correct
via a p e x
The correct statements are A and B
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'
According to the given problem,
cos(A−B) = cosAcosB + sinAsinB .
Let A=90∘, B = a
Therefore.
cos(90∘−a) = cos90∘cosa + sin90∘sina.
Here, we have,
cos90∘ = 0, sin90∘ = 1.
cos(90∘−a) = sina
Now, we know,
sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
For ∠BAC,
cosA = [tex]\frac{AB}{AC}[/tex]
For ∠ACB,
sinC = [tex]\frac{AB}{AC}[/tex]
Hence, we can conclude, A and B are the true statements for the given right-angled triangle.
Learn more about right-angled triangle here:
https://brainly.com/question/13263113
#SPJ2
3) The triangles shown are congruent using ASA, but they arb not marked completely. Mark the corresponding parts in this drawing that must be congruent in order to apply the ASA. Then write the congruence statement in the spaces provided. (2 pts) CAB FDE ____=____
Answer:
angle A = Angle E
ΔCAB ≅ΔFED
Step-by-step explanation:
ASA means Angle side Angle Where the side is between the two angles
We have an angle C= F and a side AC = EF
We need angle A = Angle E
ΔCAB ≅ΔFED
48 ÷ (7 x 5 - 3 x 9) whoever gets the answer right, gets brainliest and 47 points. please help fast!
48 ÷ (7 x 5 - 3 x 9)
= 48 ÷ (35 - 27)
= 48 ÷ 8
= 6
Step-by-step explanation:
only half of your points for each answer ;)
Answer: 6
Step-by-step explanation:
Because of PEMDAS, you do 7x5 which is 35 than 3x9 which is 27. Then you subtract those and get 8. After you finish what's in the parenthesis, you divide 48 by 8 which is 6.
helppppopoop help help help
Answer:
160
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
1) y= 2x
for every 5 x-steps to the right the graph goes up by ten. 10/5 is simplified to 2/1 or just 2
it starts at 0/0, so no need to add and absolute value
2) x: number of days
y: number of vidits (roughly2 per day, but you don't need to write this in the box)
3) 35 days. it's just y=70
and we could write this as
70 = 2*x | devide by 2 on both sides to get x
35 = x
A researcher wanted to know if there was a difference in fall and spring semester tuition at universities across the U.S. His study took a random sample of 200 universities, had a p-value of 0.013 and found that the tuition had increased by an average of $0.35 between fall and spring semester. What can be said about the results of this study
Answer:
The given parameters of the study are;
The number of people in the sample, n = 200
The p-value = 0.013
The average increase between fall and spring semester = $0.35
Therefore, we have;
Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.
Step-by-step explanation:
The result of the test hypothesis is incorrect or should be rejected.
What is P-value?Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.
What is the significance of the P-value?The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.
We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.
Hence, the result of the test hypothesis is incorrect or should be rejected.
Learn more about P-Value:
https://brainly.com/question/15407907
What is the answer to this
umm I don't know hehe oops
Answer:
Length of old board = 68.2cm
Step-by-step explanation:
Let old board length be x
Given new board is 120 % longer than old board = x + 120% of x
Length of new board = 150cm
Therefore,
x + 120% of x = 150
[tex]x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm[/tex]