Answer:
2
Step-by-step explanation:
3x + 5x + 8x = 32
taking x common,
(3 + 5 + 8)x = 32
16x = 32
x = 32 / 16
x = 2
Answer: See below
Explanation:
The ultimate method of solving algebra problems will be trying any operations to isolate x, which then gives the value of x.
Operations include combining like terms, dividing and multiplying terms, and etc.
I would be solving [3x + 5x + 8x = 32] as an example.
Solve:
Given
3x + 5x + 8x = 32
Combine like terms through addition
8x + 8x = 32
16x = 32
Divide 16 on both sides to isolate x
16x / 16 = 32 / 16
[tex]\boxed {x=2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
is 2/3 rational is 3.1415926535 rational
Answer:
yes 2/3 is rational.
Step-by-step explanation:
please mark me brain list
is 9.40 equal to 9.4
Answer:
no
Step-by-step explanation:
if it was 9.04 it would
its not equal because 9.40 is 10^2 but 9.4 is 10^1
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?
A function is positive where it is above the x-axis
The valid solution for positive demand are; t = 3, and t = 2
The reason the above values are correct is as follows:
Known parameters:
The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]
Where;
C(t) = The demand of the cellphone (in millions of people)
t = The number of months
The condition positive demand is C(t) ≥ 0
Therefore;
[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]
[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]
[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]
t² + 4·t - 12 ≤ 9
t² + 4·t - 12 - 9 ≤ 0
t² + 4·t - 21 ≤ 0
(t - 3) × (t + 7) ≤ 0
∴ t ≤ 3, or t ≥ -7
At t = 2 < 3, we have;
C(2) = -√(2² + 4×2 - 12) + 3 = 3
At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)
Therefore, the valid solution for positive demand are;
t = 3, and t = 2
Learn more about the functions here:
https://brainly.com/question/24249596
Answer:
3,3
Step-by-step explanation:
Find the least common multiple (LCM) of 6 and 10,
O A. 60
O B. 20
O C. 40
O D. 30
If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.
Answer:
56
Step-by-step explanation:
The numerical length of QS is 128.
We have a Line Segment QT and a point R lies on the midpoint of QS.
We have to determine length of QS.
What is Mid - Point of a line?The mid - point of a line is a point that divides it into two parts of equal lengths.
According to question, we have -
RS = 2x - 4
ST = 4x – 1
RT = 8x – 43
Since, R is the midpoint of QS -
QR = RS = 2x - 4
QS = QR + RS = 2 x QR = 2(2x - 4)
Now -
ST = RT - RS
ST = 8x - 43 - 2x + 4
ST = 6x - 39
and
ST = 4x - 1 [Given]
Therefore -
6x - 39 = 4x - 1
6x - 4x = - 1 + 39
2x = 38
x = 19
Now -
QS = QR + RS = 2RS
QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128
Therefore - QS = 128
Hence, the numerical length of QS is 128.
To solve more questions on Lines and Lengths, visit the link below -
brainly.com/question/16345328
#SPJ6
Translate the sentence into an inequality. A number b increased by 5 is at most – 24.
Answer:
b+5≤-24. Hope this helps:)
Step-by-step explanation:
What are the coordinates of the quadrilateral WXYZ after it is reflected across the y-axis.
Step-by-step explanation:
the coordinates of the quadrilateral WXYZ after reflected across the y-axis:
W' (3, 4)
X' (-2, 8)
Y' (-4, -4)
Z' (3, -4)
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].
Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:
[tex](8-4)(2+3)=(4)(5)=20[/tex]
Hence, the maintained product is [tex]20[/tex].
Thus, we have the following equation:
[tex](x-4)(y+3)=20[/tex]
Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:
[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]
suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th
5 ft
4ft
3ft
6ft
Answer: First Choice. 5ft
Step-by-step explanation:
Here we need to know the idea of the Pythagorean theorem.
Since a building is straight, the base angle is a right angle, thus it would be a right triangle.
Pythagorean Theorem: a² + b² = c²
**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)
Solve:
Given information
a = 12 ft
c = 13 ft
b = unknow base length
Given formula for Pythagorean Theorem
a² + b² = c²
Substitute values into the formula
12² + b² = 13²
Simplify exponents
144 + b² = 169
Subtract 144 on both sides
144 + b² - 144= 169 - 144
b² = 25
Square root both sides
√b² = √25
[tex]\boxed{b=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
please mark me brainleast
4 (3 + c ) + c = c + 4
what is c?
Answer:
[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]
Answer: c = -2
Step-by-step explanation:
Given
4 (3 + c) + c = c + 4
Expand parentheses and apply the distributive property
4 · 3 + 4 · c + c = c + 4
12 + 4c + c = c + 4
Combine like terms
12 + (4c + c) = c + 4
12 + 5c = c + 4
Subtract 12 on both sides
12 + 5c - 12 = c + 4 - 12
5c = c - 8
Subtract c on both sides
5c - c = c - 8 - c
4c = -8
Divide 4 on both sides
4c / 4 = -8 / 4
[tex]\boxed{c=-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?
Answer:
14 Sq ft
Step-by-step explanation:
9×9=81
5×5=25
81-25=56
56÷4=14
The midday temperature, in Celsius degrees (°C), on four successive days is 1.5, -2.6, – 3.4 and 0.5. Calculate the mean temperature.
thanks for anyone who helped <3
Answer:
-1 C
Step-by-step explanation:
Mean = Average
To find the mean simply add all the values and then divide that by the number of given values
So first add the 4 values together
1.5 + -2.6 + -3.4 + .5 = -4
Then divide the sum by the number of values ( there are 4 values )
-4 / 4 = -1
The mean temperature is -1
Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^
Answer:
y = -1/2x - 8
Step-by-step explanation:
y = -1/2x - 8
is the function in the graph non-linear?
Answer:
yeah, because it doesnt have a constant rate of change - if it did, then it would be linear
Step-by-step explanation:
IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18
기
D
Ос
Od
Answer:
4 and 5, closer to 4
Step-by-step explanation:
hope that helps>3
Which of the following represents "10 less than n"?
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts
Answer:
30%
Step-by-step explanation:
ITS NUMBER 10. THAT I NEED HELP WITH
b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?
Answer:
16 labourers complete the construction
in 30 days
Step-by-step explanation:
mark me as a brainlist answer
How to solve multi step equations
Answer:
how did the "X" on the right get to the left...
to remove it you have to SUBTRACT ...
you added "X" to both sides that was/is the error in your attempt
Step-by-step explanation:
-2x + 5(x-1) = -11 + x
-2x + 5x - 5 = -11 +x
3x - 5 = -11 + x
2x - 5 = -11
2x = -6
x = -3
You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero
After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
1
3 of the previous length. How many miles of the coast did the algae previously cover?
The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]
miles covered after the clean-up = 2 miles
[tex]\frac{1}{3}m[/tex] = 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
For more information, please check : https://brainly.com/question/2294445?referrer=searchResults
Jen has 2 quarters, 5 dimes, 3 nickels, and 2 pennies in her pocket.
25x^2-36x+9
with x=2
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
Step-by-step explanation:
25(2)^2-36(2)+9
25(4)-72+9
100-72+9
28+9
37
slove for w -22=4(w=2)-7w
When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?
Answer:
15
Brainliest, please!
Step-by-step explanation:
r = kp/(st)
p = 12, t = 2, s = 5, r = 18
18 = k(12)/(2)(5)
18 = 12k/10
12k = 180
k = 15
Sin A 4/5.
Find
COSA + tan A
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
Ryan and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate cookie dough. Ryan sold 6 packages of white chocolate chip cookie dough and 12 packages of double chocolate cookie dough for a total of $204. Cody sold 7 packages of white chocolate chip cookie dough and 7 packages of double chocolate cookie dough for a total of $147. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?
9514 1404 393
Answer:
white: $8double: $13Step-by-step explanation:
Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.
6w +12d = 204 . . . . . . Ryan's sale
7w +7d = 147 . . . . . . . . Cody's sale
We can divide out the common factor to put these equations into standard form:
w +2d = 34
w +d = 21
Subtracting the second of these equations from the first, we get ...
(w +2d) -(w +d) = (34) -(21)
d = 13
Using the second equation, we can find w:
w = 21 -d = 21 -13 = 8
The costs of the chocolate chip cookie dough packages are ...
white: $8
double: $13
The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
