[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]
Answer:The answer is option d. X = 3
The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
Answers: The page numbers are 11 and 12
==========================================================
Explanation:
Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.
Let,
x = first page, some positive whole numberx+1 = second page, follows immediately after page xAdding those two said pages will lead to 23
first + second = 23
(x) + (x+1) = 23
2x+1 = 23
2x = 23-1
2x = 22
x = 22/2
x = 11 is the first page
x+1 = 11+1 = 12 is the second page
Check: 11+12 = 23 which confirms the answers.
Triangles PQR and RST are similar right triangles.
image
Which proportion can be used to show that the slope of PR is equal to the slope of RT?
A.
3
−
7
−
4
−
(
−
7
)
=
−
5
−
3
2
−
(
−
4
)
B.
3
−
(
−
4
)
7
−
(
−
7
)
=
−
5
−
2
3
−
(
−
4
)
C.
−
4
−
(
−
7
)
3
−
7
=
2
−
(
−
4
)
−
5
−
3
D.
−
4
−
(
−
3
)
−
7
−
7
=
2
−
(
−
5
)
−
4
−
3
Plot the points A=(2,0), B=(-1,0), C=(-1,3). Find the coordinates of
the point D such that ABCD is a square.
help asap please!! :(( I need help
Answer:
m1= 43
m2=17
m3=120
m4=m5=m6=60
m7=17
m8=120
m9=43
Step-by-step explanation:
"Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°"
by SerenaBochenek
A recipe for 10 bran muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 3 1/2 cups of flour available. How many muffins can be made?
Answer:
35
Step-by-step explanation:
3 1/2 x 10 =35
make 3 1/2 into an improper fraction: 3 x 2 + 1 = 7/2
make 10 into a fraction: 10/1
find the LCD (least common denominator) for each number:
10/1 = 20/2
7/2 = 7/2
20/2 x 7/2 = 70/2 = 35
:)
Answer:
35
Step-by-step explanation:
For 1 cup of flour, you make 10 muffins. Just by reading the problem, you see that the number of muffins, 10, is 10 times the number of cups of flour, 1.
For 3 1/2 cups of flour, you make 10 times that number muffins.
3 1/2 × 10 = 3.5 × 10 = 35
Answer: 35 muffins
You can also use a proportion.
1 cup flour is to 10 muffins as 3.5 cups flour is to x muffins.
1/10 = 3.5/x
Cross multiply:
1 × x = 10 × 3.5
x = 35
Answer: 35 muffins
round to nearest ten 8,990.97
Answer:
8990
Step-by-step explanation:
The 9 underlined is in the tens place.
8990.97 ⇒ 8990
Since you can't round up, you replace everything after the underlined 9 with 0's.
8990.00 = 8990
what is 47+50- __ - 32
This question doesn't make sense.Are you sure you wrote it correctly?
how would this: 6.673 + 8.29 equal this: 14.963 ?!?!?!?!?
Answer:
You have to add -its easier to add up and down so you can see it more visibly-
Step-by-step explanation:
1
8.290
+6.673
14.963
Hope this helps! Have a great day!!
Camille's science class is making slime from cornstarch and glue. Camille is helping pass out materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Camille's class has a total of 18 students, how many ounces of cornstarch will she have left?
Answer:
8 ounces
Step-by-step explanation:
16oz/lb
16*5= 80oz of cornstarch in bucket
4oz * 18students = 72oz
80-72= 8 oz remaining
The amount of cornstarch left is 8 ounce.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each student get = 4 ounce of cornstarch
Total number of student = 18 students
And, Total amount of cornstarch = 5 pound
Here,
Since, Amount of total cornstarch to student = Each student get × Total number of student
⇒ Amount of total cornstarch to student = 4 × 18
⇒ Amount of total cornstarch to student = 72 ounce
Since, 1 pound = 16 ounces
So, We get;
⇒ Total amount of cornstarch = 5 × 16
⇒ Total amount of cornstarch = 80 ounces
Thus, Amount of cornstarch left = 80 - 72
⇒ Amount of cornstarch left = 8 ounces
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
What is M less than A
Answer:
60°Step-by-step explanation:
Since Angle E is same for both triangles, as vertical angles, the sum of the other two interior angles should be same.
Then we have:
m∠A + m∠B = mC + m∠Dm∠A + 18 = 43 + 35m∠A + 18 = 78m∠A = 78 - 18m∠A = 60Simplify 12 square root 1764
Answer:
504
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.
Which statement is correct
Answer:
statement B is correct.........
Plz help ASAP!!
Picture attached:
Which statement is true about the graph of the equation y = x?
Answer:
that they both create different equations
Find the value of x.
Answer:
-5
Step-by-step explanation:
hope it works out for you
Donald bought 3 shirts for $45. How many shirts can Donald buy if he has $30? Show your work using mathematics.
Answer:
donald can buy 2
Step-by-step explanation:
price of a shirt = $45÷3
=15
=30÷2=15
Answer:2 shirts
Step-by-step explanation: if you divide 45$ by three you find out each shirt cost 15$ if you add fifteen twice you get 30$ theirfor you used all your money and can not buy another shirt.
Select the correct answer.
100
n
In the figure, lines mand n are parallel to each other. Lines p and q are also parallel to each
m
other. What is the value of x?
Answer:
80
Step-by-step explanation:
in the figure above, angle 100 degrees is corresponding to the angle co - interior to angle x
that is
if we put an angle that is at the upper left of x, we can call that y which is corresponding to 100 degrees
since y is corresponding to 100 degrees, it automatically becomes the same as 100 degrees
therefore y=100
now, from the first line above, we know that x and y are co-interior which means that they both add up to 180 degrees
that is
x+y=180
we know that y = 100
therefore,
x+100=180
collect like terms and
x = 180-100
therefore,
x= 80
thank you!!
Pls help with thissssdd!!
Answer:
a. False
b. true
c. false
d. true
Step-by-step explanation:
What is the equation for the line parallel to y=2x+13y=2x+13 that contains (8,-4)(8,−4)?
I will assume you meant y = 2x + 13
Answer: y = 2x - 20
What is the probability that Zeke gets a sum of 7
Answer:
≈
17
%
Explanation:
A sum of 7 can be achieved the following ways.
5 and 2
2 and 5
4 and 3
3 and 4
6 and 1
1 and 6
There are
6/2
=
3/6
possible outcomes and 6 ways to obtain the sum of 7 so
6 3/6
≈
17
%
Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?
Answer:
10 percent is the answer
Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data
Answer:
2,9457
Step-by-step explanation:
100+7% = 1.07
(1.07)^50 = 29.45702506
y = 1000(29.46)
y = 29,460
Which are the solutions of x2 = 5x + 8?
2 = 5 + 8
hopes this helps
I will give Brainliest!!
Answer:
5.8 h po salamat
salamat po
what is 86,503 when written in expanded form
Answer:
Eighty six thousand, five hundred and three
Step-by-step explanation:
Answer:
Expanded Notation Form:
86,503 =
80,000
+ 6,000
+ 500
+ 0
+ 3
Expanded Factors Form:
86,503 =
8 × 10,000
+ 6 × 1,000
+ 5 × 100
+ 0 × 10
+ 3 × 1
Expanded Exponential Form:
86,503 =
8 × 104
+ 6 × 103
+ 5 × 102
+ 0 × 101
+ 3 × 100
Word Form:
86,503 =
eighty-six thousand five hundred three
Step-by-step explanation:
:)
Use f(x) = 2x − 3 and g(x) = 4 − x2 to evaluate the expression.
(a) (f ∘ g)(x)
(b) (g ∘ f)(x)
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
A composition is a operation two functions in which the independent variable of the first function is substituted by the entire second function. In other words, we have the following expressions:
[tex](f\,\circ\,g) (x) = f(g(x))[/tex] (1)
[tex](g\,\circ \,f)(x) = g(f(x))[/tex] (2)
If we know that [tex]f(x) = 2\cdot x - 3[/tex] and [tex]g(x) = 4 - x^{2}[/tex], then we have the following compositions:
[tex](f\,\circ\, g) (x) = 2(4-x^{2})-3[/tex]
[tex](f\,\circ\,g)(x) = 5-2\cdot x^{2}[/tex]
[tex](g \circ f) (x) = 4 - (2\cdot x-3)^{2}[/tex]
[tex](g\,\circ f) (x) = -4\cdot x^{2} +12\cdot x -5[/tex]
The resulting expressions for [tex](f\,\circ\,g)(x)[/tex] and [tex](g\,\circ\,f)(x)[/tex] are [tex]5- 2\cdot x^{2}[/tex] and [tex]-4\cdot x^{2} + 12\cdot x -5[/tex], respectively.
We kindly invite to check this question on composition between functions: https://brainly.com/question/15070966
Which ordered pair is a solution to the following:
Y= -2x + 5
Choose 1 answer:
A: Only (2,-9)
B: Only (-2,9)
C: both
D: neither
Answer:
Option B: Only (-2, 9)
Step-by-step explanation:
Given the linear equation, y = -2x + 5:
We'll plug in the given options to see which of the ordered pairs will satisfy the equation:
Substitute option A: (2, -9) into the equation:
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1 (False statement). Therefore, (2, -9) is not a solution.
Substitute option B: (-2, 9) into the equation:
y = -2x + 5
9 = -2(-2) + 5
9 = 4 + 5
9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.
The other two options are irrelevant at this point since we've proven that option B is the correct answer.
Please mark my answers as the Brainliest if you find my explanations helpful :)
-3 (x + 2) + 9 + 7x = 4x + 5 – 2
Step-by-step explanation:
- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2
- 3x - 6 + 9 + 7x = 4x + 5 - 2
- 3x + 7x + 9 - 6 = 4x + 5 - 2
4x + 3 = 4x + 3
What is the next step. pls help!!
What is the meaning of the point with an x-coordinate of 2?
Answer:
In 2 seconds, the space station travels 10 miles.
Step-by-step explanation:
Well, if the x axis represents time in seconds and the y axis represents distance in miles, then when your x value is 2, your y value is 10.
) y = 2x - 4
y = -3x + 1
Answer:
I think x = -8. Hope this helps!! :)