Answer:
First, we can write:
x = 2 . ¯ 3
Next, we can multiply each side by 10 giving:
10 x = 23 . ¯ 3
Then we can subtract each side of the first equation from each side of the second equation giving:
10 x − x = 23 .¯ 3 − 2 . ¯ 3
We can now solve for x as follows:
10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 ) ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3
9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )
9 x = 21 + 0
9 x = 21
9 x /9 = 21 /9
9 x /9 = 3 × 7 /3 × 3
x = 3 × 7 /3 × 3
x = 7 /3
Hope this helps!
Plz mark brainliest! ☜(ﾟヮﾟ☜)
What is the recursive definition for 25,20,15,10?
Answer:
aₙ = 30 - 5n
Step-by-step explanation:
25,20,15,10, ...
We see from the given series that it is AP with:
First term = 25Common difference = -5 and it is decreasing seriesThen formula is:
aₙ= a₁ + (n-1)daₙ= 25 + (n-1)(-5) aₙ= 25 - 5n + 5aₙ = 30 - 5nANSWER QUICKLY PLZZZZZZ
Answer:
A= 17 B= 19
Step-by-step explanation:
Answer:
a) 17 cups water
b) 19 cups rice
Step-by-step explanation:
w = 1.5r + 0.5
For 11 cups of rice, r = 11.
w = 1.5(11) + 0.5
w = 16.5 + 0.5
w = 17
For 11 cups of rice, 17 cups of water are needed.
With 29 cups of water, w = 29.
29 = 1.5r + 0.5
28.5 = 1.5r
r = 19
With 29 cups of water, 19 cups of rice can be cooked.
Remember, a percent is a fractional part
of 100. In a bag of candy, 15 of the 50
pieces are red. What percentage of the
candy is red?
mex
B 50%.
C 3006
D 659
Answer:
Step-by-step explanation:
B
Answer:
The answer would be 30% (although I don't see that as an answer).
Step-by-step explanation:
This is because when you multiply the denominator times a number that makes the denominator 100 and multiply that same number by the numerator you get the percentage of the sample you are looking at on the numerator.
15/50 = (15*2)/(50*2) = 30/100 = 30%
The average weight of the top 5 fish caught at a fishing tournament was 12.3 pounds. Some of the weights of the fish are shown in the table.
What was the weight of the heaviest fish?
Answer:
14.6
Step-by-step explanation:
It is given that,
The average weight of the top 5 fish caught at a fishing tournament was 12.3 pounds. From the attached figure, the weight of 5 fish are given. We need to find the weight of Wayne S. fish.
Average = sum of terms/no of terms
Let the weight of Wayne S. is x. So,
Here the sum of terms is x+12.8+12.6+11.8+9.7 and the number of terms is 5.
[tex]12.3=\dfrac{x+12.8+12.6+11.8+9.7}{5}\\\\61.5=x+12.8+12.6+11.8+9.7\\\\61.5=x+46.9\\\\x=14.6[/tex]
So, the weight of the heaviest fish is 14.6.
If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there
Answer:
It is over 7 days
hope it helps
One number is three times another number. If the sum of the numbers is 36, determine the two numbers.
Step-by-step explanation:
A=3B
A+B=36
3B+B=36
4B=36
B=36/4
Step-by-step explanation:
let x represent the smaller number
3x is the second number
x+3x=36
4x=36
4x/4=36/4
x=9
the second number is 3(9)
=27
PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS
Answer:
Linear pair postulate
Step-by-step explanation:
The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees
A linear pair of angles is such that the sum of angles is 180 degrees.
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if c=a+b.
Answer:
i. a = 7
ii. b = 7
iii. c = 14
Step-by-step explanation:
1. In a parallelogram, the pair of opposite sides are equal, thus;
6a + 10 = 8a -4
4 + 10 = 8a - 6a
14 = 2a
Divide both sides by 2,
a = 7
2. <SPQ + <PSR = [tex]180^{0}[/tex]
(18b - 11) + (9b + 2) = [tex]180^{0}[/tex]
18b + 9b + 2 -11 = [tex]180^{0}[/tex]
27b -9 = [tex]180^{0}[/tex]
27b = [tex]180^{0}[/tex] + [tex]9^{0}[/tex]
27b = [tex]189^{0}[/tex]
Divide both sides by 27,
b = 7
Therefore,
c = a + b
= 7 + 7
= 14
c = 14
A meter is a unit of length approximately equal to 39.37 inches. If someone is 1.64 meters tall, what is his or her approximate height in inches?
Answer:
64.5668 inches tall
Step-by-step explanation:
If you set up a proportion, you would have to do 1.64 times 39.37, which would equal 64.5668 inches.
please help asap!!!!
Answer:
2304 cubic inches
Step-by-step explanation:
Volume = Width x length x height
Green cube:
[tex]12*12*6=864[/tex]
Blue cube:
[tex]10*18*8=1440[/tex]
Add them together:
[tex]1440+864=2304[/tex]
A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes S, T, total. The second column is labeled U with entries 26%, 21%, 47%. The third column is labeled V with entries 42%, k, 53%. The fourth column is labeled total with entries 68%, 32%, 100%. What is the value of k in the relative frequency table? Round the answer to the nearest percent.
Answer:
Hey There. ☆~<___`£《》£`____>~☆ The correct answer is: 33% okay if you don't understand this. Just tell me Okay. k=11 And, let me know if you don't understand how I got this. So, I'm gonna write it out
U V total
S 26 42 68
T 21 k 32
Total 47 53 100
So, you want to look at the column and row labeled total, this is the key. for the row total, it sums up everything in the column above it. so for the u column, the total value is 47 while the two values above it are 26 and 21. These two values sum to 47. This is the same for all other columns, and you can use the same reasoning with the total column as well summing rows.
This gives you two ways to solve for k. either 21 + k = 32 or 42 + k = 53. Either way gets you the answer k = 11
Hope It Helps!~ ♡
ItsNobody~
Answer:
The answer is B
Step-by-step explanation:
What would the equation, slope, and y-intercept be for this?
Answer:
y=-4x+1
Step-by-step explanation:
Equation: y=mx+b where m = slope and b= y intercept
TO find the slope, find the change in y over the change in x , or just to rise over run
From (-1,5) to (0,1), the y changes by -4 and the x changes by 1.
So the slope will be -4
To find the y intercept, find the point at which the line crosses the y-axis.
In this case, it is at (0, 1), so your y intercept will be 1
Plug all this info back into the equation and you get y=-4x+1
The y-intercept is 1 and that’s it sorry I can’t answer the rest.
Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 ¾ feet long.
Each president's picture is 6 inches wide.
4. How would your answer change if the pictures were 10 inches wide? Explain.
Answer:
The number of pictures changes from 8 to 4.
Step-by-step explanation:
I assume the first question was the number of pictures that could be placed when the pictures are 6 inches wide.
Let's first answer the first question.
Wall length: 9.75 ft
Window: 5¾ ft = 5.75 ft
Available wall space for pictures:
9.75 ft - 5.75 ft = 4 ft
Now we convert 4 ft to inches.
1 ft = 12 inches
4 ft = 4 * 12 inches = 48 inches
There is 48 inches of wall space to place pictures that measure 6 inches each.
48 inches / 6 inches = 8
Originally, there is room for 8 pictures.
Question 4.
Each picture is 10 inches wide.
There is still 48 inches of wall space for the pictures.
48 inches / 10 inches = 4.8
There is room for 4.8 pictures. Since Mr. Hamilton will place only whole picture, he can only place 4 pictures now.
Answer: The number of pictures changes from 8 to 4.
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
Answer:
-15Step-by-step explanation:
[tex](\sqrt{20} - 2\sqrt{45} +\sqrt{5} )*\sqrt{5}[/tex]
[tex] = \sqrt{20} \times \sqrt{5} - 2 \sqrt{45} \times \sqrt{5} + \sqrt{5} \times \sqrt{5} [/tex]
[tex] = \sqrt{100} - 2 \sqrt{225} + \sqrt{25} [/tex]
= 10 - 2 × 15 + 5
= 10 - 30 + 5
= 15 - 30
= -15 (Ans)
Six years from now, Olivia will be three times older than she is today. How old is she?
4
5
2
3
and
The correct order of steps in solving a word problem is:
Determine variables for unknowns, create an equation, solve for the unknown variable, check that the left side of the equation equals the right side
Create an equation, determine a variable for the unknown, solve for the unknown, check that left side equals right side
Determine a variable for the unknown, create an equation, check that left side equals right side, solve for the unknown variable
Determine the variable for the unknown, create an equation, solve for the unknown
Answer:
She is three years old.
Step-by-step explanation:
If she is 3, then six years from now she will be nine.
3 * 3 = 9
Juana wants to use the numbers 8, 6, 3,
and 2 to create her 4-digit ATM code.
She will not repeat any digits. How many
different codes could she create?
If 24n-¹ + 3 = 7 What is the value of n
Answer:n=6
Step-by-step explanation:
Multiply and simplify. (1 − 5i)(1 − 2i) A) 1 + 7i B) 9 − 7i C) 1 − 7i D) − 9 − 7i
Answer:
The product renders: [tex]-9-7\,i[/tex]
Step-by-step explanation:
Recall that the product of the imaginary unit i by itself renders -1
Now proceed with the product of the two complex numbers using distributive property:
[tex](1-5\,i)\,(1-2\,i)=1-2\,i-5\,i+10\,i^2=1-7\,i-10=-9-7\,i[/tex]
picking brainliest! what's the difference between the union and intersection of two sets??
Step-by-step explanation:
The union of two sets contains all the elements contained in either set,
The intersection of two sets contains only the elements that are in both sets.
Answer:
Step-by-step explanation:
The union is the set that contains all the elements in both sets ( no repetitions).
The intersection is the set that contains only the elements that are common to both sets.
Solve the problem below where X=4 3X+7=
X = 4×3 X + 7
Resultado
X = 12 X + 7
Forma alternativa
-11 X - 7 = 0
X = -7/11
solve the equation: csc(4x)-2=0
Step-by-step explanation:
csc(4x) − 2 = 0
csc(4x) = 2
sin(4x) = 1/2
In radians:
4x = π/6 + 2kπ, 5π/6 + 2kπ
x = π/24 + kπ/2, 5π/24 + kπ/2
In degrees:
4x = 30° + 360°k, 150° + 360°k
x = 7.5° + 90°k, 37.5° + 90°k
I will give brainliest to the correct answer!! Find the vertex and the length of the latus rectum. x= 1/2(y - 5)² + 7
Answer:
Vertex =(5,7)
Latus rectum = 2
Step-by-step explanation:
The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.
Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.
The length of the latus rectum of a parabola is 4a
On comparing the equation with the general equation, a = 1/2
Length of the latus rectum = 4(1/2)
Length of the latus rectum = 4/2 = 2
Hence the vertex is (5,7) and the length of latus rectum is 2
UDISJKDFJSFJDGLFS HELP
Answer:
I think E
Step-by-step explanation:
You know the shortest building is 25 m.
to find the rest, use trigo so Tan(20)=opposite/adjacent.
Adjacent is 50. Do the math and add the answer with 25.
Answer:
The answer would be E. 43.2
According to TOA, The opposite side is tan(20) x adjacent side( 50m)
the answer is 18.2( to 1 dp). Add the height of the second building together with 18.2 and you will get ur answer. HOpe this helps:)
Write the equation of the line in slope-intercept form. m=5/9 y-intercept (0,2) 2 The equation of the line in slope-intercept form is (Type an equation. Use integers or fractions for any numbers in the equation. Simplify your answer.
Answer:
y = (5/9)x + 2
Step-by-step explanation:
Slope intercept form is
y = mx + b then plug in the values
y = (5/9)x + 2
In a birthday party, a cake was cut into 30 equal sizes pieces. At the end of the party, 8 pieces were left. What was the percentage of cake consumped?
Answer:
73 1/3 %
Step-by-step explanation:
8 pieces were left
30-8 = 22 so 22 were consumed
22/30 is the percent consumed
.7333333
73.333333%
We know .333333333 is 1/3
73 1/3 %
which phrase best describes the relationship indicated by the scatterplot? A. Constant correlation B. negative correlation C. positive correlation D. no correlation
Answer:
No Correlation
Step-by-step explanation
Simply because they are all spread out and you cant make a accurate line out of the points.
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Answer: m∠DEA = _________, m∠ADB =_______
Answer:
The values of the angles are;
m∠DEA = 62°, m∠ADB = 45°
Step-by-step explanation:
Specify an arc or an angle three letters
Angle opposite an arc on the circumference
m DA ≅ m CB = 62° (Arc between parallel lines are congruent)
∠CAB = 1/2 × m CB = 1/2 × 62° = 31° (Angle at the center = 2 × Angle st the circumference)
∠DBA = 31° (Angle at the center m DA = 2 × Angle st the circumference)
m∠DAB = 104° (Given)
∠ADB = 180° - m∠DAB - ∠DBA = 180° - 104° - 31° = 45° (Interior angles of triangle ΔADB
m∠ADB = 45°
∠AEB = 180 - ∠CAB - ∠DBA = 180° - 31° - 31° = 118°
∠AEB ≅ ∠COD (Vertically opposite angles)
∠DEA ≅ ∠CEB (Vertically opposite angles)
∠AEB + ∠COD + ∠DEA + ∠CEB = 360° (Sum of angles at a point)
118° + 118° + ∠DEA + ∠CEB = 360°
∠DEA + ∠CEB = 360° - 118° - 118° = 124°
Given that ∠DEA = ∠CEB we have;
2 × ∠DEA = 124°
∠DEA = 124°/2 = 62°
m∠DEA = 62°.
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 6 gallons.
Answer:
3.625 gpm
Step-by-step explanation:
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
see explanation
Step-by-step explanation:
Corresponding angles within the similar figures are congruent, thus
x = ∠ A = 52°
h = 7 × 1.5 = 10.5 cm
From B to A then divide by the scale factor, that is
w = 12 ÷ 1.5 = 8 cm
If the average of 5 consecutive even number is 24, what's the largest number ?
Answer:
24÷5 =4.5 I think this is write but I don"t it's right or not