Answer:
Step-by-step explanation:
20x - 26 = 8x + 1
12x - 26 = 1
12x = 27
x = 27/12 = 2 3/12 = 2 1/4 = 2.25
8(2.25) + 1 + 20(2.25) - 26
18 + 1 + 45 - 26
19 + 45 - 26
64 - 26 = 38 = rs
The value of rs is 38 for the given expression.
What is a balancing equation?"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".
For the given situation,
The two equations are
qr=8x+1 and
qs=20x-26
On equating these two equations,
[tex]8x+1=20x-26[/tex]
⇒ [tex]12x=27[/tex]
⇒ [tex]x = 2.25[/tex]
To find rs, we need to add both equations.
[tex]rs=8x+1+20x-26[/tex]
⇒ [tex]rs=8(2.25)+1+20(2.25)-26[/tex]
⇒ [tex]rs=38[/tex]
Hence we can conclude that the value of rs is 38.
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Dave is making cookies for his niece. He wants to
make 1/2 batches. If the recipe calls for 2 1/4 cups of
flour for one batch, how much flour will he need to
use for 1 1/2 batches?
Answer:2.25 + 4.5 = 6.75 cups of flour
2.25
Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4
Which transformation describes the photograph? Select all that apply. The panels on the right side are a translation of those on the left side. The panels on the right side are a rotation of the those on the left side. The panels on the left side left side are a dilation of those on the right side. The top is a reflection of the bottom. The left side is a reflection of the right side.
Answer:
The left side is a reflection of the right side
Step-by-step explanation:
The photo has a vertical line of symmetry down the middle. There are no other points or lines of symmetry. The left side is a reflection of the right side.
Round 72895.4177829 to the nearest ten.
The resulting number is 72895.5.
To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.
Step 1 - Truncate digits less that a tenth:
[tex]x = 72895.4[/tex]
Step 2 - Ascend the tenth digit to its next one:
[tex]x = 72895.5[/tex]
We kindly invite to see this question related to rounding: https://brainly.com/question/2323275
help me find the area and perimeter please
Answer:
Area = length × width = 15 × 9 = 135
Perimeter = 2 × (length + width) = 2×(15 + 9) = 48
I’m confused on my review question. Help ASAP
Which equation shows that z is directly proportion to the cube of x and inversely
proportional to the square of y?
Answer:
z = [tex]\frac{kx^3}{y^2}[/tex]
Step-by-step explanation:
Given that z is directly proportional to x³ and inversely proportional to y²
Then the equation relating them is
z = [tex]\frac{kx^3}{y^2}[/tex] ← k is the constant of proportionality
if 225.00 yields 27.00 in x years as simple interest at the rate of 4% per annum find x
Answer:
3 years
Step-by-step explanation:
By simple interest formula:
[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]
Expand (a+b)3 in descending powers of a
==================================================
Explanation:
The coefficients of each term, from left to right are 1, 3, 3, 1
These coefficient values are found in Pascal's triangle in the third row.
The variable terms will have variable terms in the form a^m*b^n. To start off, m = 3 and n = 0 to get a^3*b^0 = a^3*1 = a^3. From there you will have m count down (3,2,1,0) and n will count up (0,1,2,3)
So for the second term we have m = 2 and n = 1 to get the variable term a^2*b^1 = a^2b
The third term has m = 1 and n = 2 to get the variable term a^1*b^2 = ab^2
Finally the last term has m = 0 and n = 3 to get a^0*b^3 = 1*b^3 = b^3
Those variable terms are them multiplied with the coefficients mentioned previously to get the final answer.
--------------------------
Another way you can do this problem is to use the distributive property and FOIL rule
(a+b)^3 = (a+b)(a+b)^2
(a+b)^3 = (a+b)(a^2+2ab+b^2) .... FOIL rule
(a+b)^3 = a(a^2+2ab+b^2) + b(a^2+2ab+b^2) ... distribute
(a+b)^3 = a*a^2+a*2ab+a*b^2 + b*a^2+b*2ab+b*b^2 ... distribute again
(a+b)^3 = a^3 + 2a^2b + ab^2 + a^2b + 2ab^2 + b^3
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed use inf or -inf Format like this: D: (0,1000) R: (-inf,1000) **note the spaces after and after domain, but no spaces inside intervals.
Answer:
DOMAIN: [tex](-\infty,1]\cup(2,\infty)[/tex]
RANGE: [tex](-\infty,\infty)[/tex]
Step-by-step explanation:
The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.
DOMAIN:
From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.
However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.
So, our domain is all values greater than or less than 1, and all values greater than 2.
In interval notation, this is:
[tex](-\infty,1]\cup(2,\infty)[/tex]
We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.
RANGE:
Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.
Our range is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
If the volume of a cube is 125 cubic meters, what is the length of each arm?
Translated in Bengali
একটি ঘনকের আয়তন ১২৫ ঘন মিটার হলে , এর প্রতি বাহর দৈর্ঘ্য কত?
Answer:
5 metres.
Step-by-step explanation:
The volume is the length of each edge cubed,
so x^3 = 125 where x is that length.
x = ∛125
= 5.
Answer:
5
Step-by-step explanation:
the Function h(x)=2(x+3)/x is a result of the composition. If g(x)=2/x, what is f(x)
Answer:
its b
Step-by-step explanation:
i just did it.
What is 516x4.2 it is for school i would appreciate the answer.
Answer:
2167.2
Step-by-step explanation:
Answer:
2167.2
Step-by-step explanation:
For this problem, let's use the distributive property to make this multiplication easier.
4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.
Now let's multiply these numbers with 516.
(516 * 4) + (516 * 1/5) == ?
(2064) + (103.2) == ?
2167.2 == ?
So the product of 516 and 4.2 is equal to 2167.2.
Cheers.
13 inches Find the surface chea of a rectangular prism with a height of 6 inches a width of 7 inches, and a length of 13 inches.
Answer:
422 Square Inches
Step-by-step explanation:
6x7=42
7x13=91
6x13=78
(2)42+(2)91+(2)78=422
You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length
What is the half of 21 in a radius
Answer:
Half of 21 in a radius is 10.5.
Answer:
21/2=10.5
Step-by-step explanation:
21/2
Clara wants to paint her bedroom skyblue ,so she mixes blue and white paint.Then she decided to mix paint for her living room.To make sure she has enough paint for the larger room,Ciara plans to use double the amount of white paint and double the amount of blue paint.Which room would be the lighter shade
Answer:
the living room
Step-by-step explanation:
Brad get an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad save one-half of his allowance and Samantha saves two-thirds oh her allowance. Suppose brad started with $0 savings and Samantha started with $40. How many weeks will it take until they have the same amount in savings?
Answer:
160
Step-by-step explanation:
the diagram shows a triangle. work out the area of the triangle.
Answer:
30cm^2
Step-by-step explanation:
area of triangle = bxh/2
12x5=60/2=30cm^2
Answer:
My answer is 30.
Step-by-step explanation:
Area of a triangle is 1/2×b×h or b×h/2.
The base in the diagram is 12 and the height is 5. then 12×5=60 then 60÷2=30....Thank you for the question....
2 x (16+ [1 +9+(5-2)]? – 3] – 22
Step-by-step explanation:
2 x (16 + (10 + 3) - 3) - 22
2 x (16 + 13 - 3) - 22
2 x 26 - 22
2 x 4
= 8
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
The two rectangles shown below are similar.
2(8n2 + 9n) +
+ 9n) + 3(4n- 7n)
Answer:
n = 0 or n = -9/16
Step-by-step explanation:
Solve for n:
2 (8 n^2 + 9 n) - 9 n = 0
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
16 n^2 + 9 n = 0
Hint: | Factor the left hand side.
Factor n from the left hand side:
n (16 n + 9) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
n = 0 or 16 n + 9 = 0
Hint: | Look at the second equation: Isolate terms with n to the left hand side.
Subtract 9 from both sides:
n = 0 or 16 n = -9
Hint: | Solve for n.
Divide both sides by 16:
Answer: n = 0 or n = -9/16
please help! answer and explanation please!
Answer:
2.15d+3.12 = 11.72
Step-by-step explanation:
The total cost is found by adding the costs of the donuts and the cost of the drink
The donuts cost 2.15 per donut = 2.15d
The drink is 3.12
She spent 11.72
2.15d+3.12 = 11.72
Answer: 4 dounts
Step-by-step explanation:
2.15d + 3.12 = 11.72
- 3.12 -3.12
2.15d = 8.6
8.6/2.15 = 4
That's how you get 4 donuts. Please mark brainliest.
10 + 2x + 6x = 26 I need help with that pls :)
Answer:
x=2 is the answer.
Step-by-step explanation:
10+2x+6x=26
10+8x=26
Subtracting 10 on both sides to find out the value of x
10-10+8x=26-10
8x=16
Dividing 8 on both sides
8x/8=16/8
x=2
Hope it will help ^_^
Answer:
x =2Step-by-step explanation: I hope it helps :)
[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]
There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Answer:
6 : 15 : 11
Step-by-step explanation:
men:women:children
24 : 60 : 44
Divide each part by 4
24/4 : 60/4 : 44/4
6 : 15 : 11
ram salary is 1500 which is new salary after an increment of 10%.find his basic salary?
Answer:
1363.6
Step-by-step explanation:
let the basic salary be = x
10% of x = 10/100x
So the equation = x + 10/100x = 1500
= x + 0.1x = 1500
= 1.1x = 1500
= x = 1500/1.1
= x = 1363.6
In the ordered pair 7 and 12, 12 is the y-coordinate or x-coordinate
Answer:
y-coordinate
Step-by-step explanation:
Ordinated pair means coordinates of some point in coordinate system. The first always is x-coordinate and the second is y-coordinate.
(7,12) means 7 is x-coordinate and 12 is y-coordinate
Describe the relationship between the angles!! HELP ME PLZ
Answer:
1. alternate exterior angles
2. co-interior angles
3. corresponding angles
4. alternate interior angles
5. corresponding angles
6. co-interior angles
Which value is a solution of the equation x2 (squared) = 49?
X = 98
X = 2,401
X = 24.5
X = 7
Answer:
24.5
Step-by-step explanation:
If you multiply 2 and 24.5 together you would get 49
The value of the solution to the given equation is 7, which is the correct answer that would be option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The equation is given in the question following as:
x² = 49
We have to determine the value of the solution to the given equation
As per the given question, we have
⇒ x² = 49
⇒ x² - 49 = 0
⇒ x² - 7² = 0
We know that the formula as, a² - b² = (a + b)(a - b)
Here a = x and b = 7, and we get
⇒ (x + 7)(x - 7) = 0
⇒ x + 7 = 0 and x - 7 = 0
⇒ x = - 7 = 0 and x = 7
Thus, the value of the solution to the given equation is 7,
Hence, the correct answer would be an option (D).
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12. How does the sum of the exterior angles of a square compare to the sum of the exterior angles of a pentagon?
A The sum of the exterior angles of a square is greater.
B The sum of the exterior angles of a pentagon is greater.
C The two sums are equal.
D There is not enough information to compare the two sums.
Answer:
Option C.
The two sums are equal.
Step-by-step explanation:
In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.
This means that the sum of the exterior angles of a square is equal to that of the pentagon.
As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees
Find the coordinates of the midpoint of the segment with the endpoints
C(3,5) and D (9,5)
Answer:
(6,5)
Step-by-step explanation:
Formula: ([tex]\frac{x_{1}+x_{2} }{2 }[/tex],[tex]\frac{y_{1} +y_{2} }{2 }[/tex])
([tex]\frac{3+9}{2}[/tex],[tex]\frac{5+5}{2}[/tex])=([tex]\frac{12}{2}[/tex],[tex]\frac{10}{2}[/tex])
=(6,5)