Answer:
x is equal to 3/2
Step-by-step explanation:
Let's solve it!
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
expand:
20x - 50 + 10x = 8x - 12 + 2x - 8
group like terms:
30x - 50 = 10x - 20
factor out common multiples:
3x - 5 = x - 2
group terms again:
3x - x = -2 + 5
2x = 3
and divide both sides by two:
x = 3/2
A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) find the value of B when A = 36
Answer:
a) A = kB
b) 20
c) 9
Step-by-step explanation:
A is directly proportional to B when A = 12, B = 3
a) find a formula for A in terms of B
A ∝ B
A = kB
Where k is constant of proportionality
when A = 12, B = 3
12 = 3k
k = 12/3
k = 4
b) find the value of A when B = 5
A = kB
k = 4
A = 4 × 5
A = 20
c) find the value of B when A = 36
k = 4
A = kB
B = A/k
B = 36/4
B = 9
how would I show that on a number line?
Answer:
[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]
Please check the graph of a number line is also attached below.
Step-by-step explanation:
Given the inequality
[tex]6h+26\:\ge \:\:80[/tex]
solving inequality
[tex]6h+26\ge \:80[/tex]
subtract 26 from both sides
[tex]6h+26-26\ge \:80-26[/tex]
Simplify
[tex]6h\ge \:54[/tex]
Divide both sides by 6
[tex]\frac{6h}{6}\ge \frac{54}{6}[/tex]
Simplify
[tex]h\ge \:9[/tex]
Therefore,
[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]
Please check the graph of a number line is also attached below.
Number of weeks and amount of money in account chart
prove that:
cos20°cos40°cos80°=1/8
Answer:
see explanation
Step-by-step explanation:
Using the double angle identity for sine
sin2x = 2sinxcosx
Consider left side
cos20°cos40°cos80°
= [tex]\frac{1}{2sin20}[/tex] (2sin20°cos20°)cos40°cos80°
= [tex]\frac{1}{4sin20}[/tex] (2sin40°cos40°)cos80°
= [tex]\frac{1}{4sin20}[/tex] (sin80°cos80° )
= [tex]\frac{1}{8sin20}[/tex] (2sin80°cos80° )
= [tex]\frac{1}{8sin20}[/tex] . sin160°
= [tex]\frac{1}{8sin20}[/tex] . sin(180 - 20)°
= [tex]\frac{1}{8sin20}[/tex] . sin20°
= [tex]\frac{1}{8}[/tex] = right side , thus proven
Step-by-step explanation:
hope its helps you have a great day keep smiling be happy stay safe ☺
A restaurant's profits for the first three weeks of September are $15,000; $9,300; and $12,000. What are the average profits for the first three weeks of September?
Answer:
$12100
Step-by-step explanation:
Step one:
Given data
The given profits are
First week= $15,000
Second week= $9300
Third week = $12,000
Required
The average profit
Step two:
The number of weeks is 3
hence the average is
= 15000+9300+12000/3
=36300/3
=$12100
10.3
divided by 200.3865
Answer: 0.0514006682 and yes i looked it up bc nobody has time for that
Step-by-step explanation:
Answer:
0.051
Step-by-step explanation:
Hope this helps!
In a school, 2/3 of the students study a language.
Of those who study a language 2/5 study French
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.
Answer:
4 : 11
Step-by-step explanation:
Given that:
Fraction of language students = 2/3
Number of students who study French :
2/5 of 2/3
2/5 * 2/3 = 4 /15
Those who do not study French :
Total fraction of entire student :
1 - 4/ 15
(15 - 4) / 15
11/15
Ratio of French to non-french
4/15 : 11/15
4/15 ÷ 11/15
4/15 * 15/ 11
4 / 11
4 : 11
GIVING BRAINLIEST!! Please answer.
if x ∆ y means x/y - x^2, then the value of 2/3 ∆ 4/5 is,
a)7/18 b)14/25 c)4/45 d)34/45 e)29/150
Answer:
a) 7/18
I hope this helps!
fivestar farm purchased 2400 apple trees. If 80 trees can be planted on each acre of land, how many acres will be needed to plant all the trees?
Answer:
30
Step-by-step explanation:
To find the answer you would need to do 2400 divided by 80 which = 30
Hope this helped :)
does 3/7 , 12/21 make a proportion
Answer:
No, it does not.
Step-by-step explanation:
The question, does 3/7 and 12/21 make a proportion, does not. It does not make a proportion, because for 3 to equal 12, you must multiply by four. when you multiply 7 by 4, you get 28. that is not right. if this explanation is too confusing, i added a picture
Let m=7 , r = 8, and t=2
Evaluate the expression. mr/t
Answer:
28
Step-by-step explanation:
7 times 8 /2
56/2
28
if that was what you were supposed to do,,
Answer:
mr/t=28
Step-by-step explanation: If m=7, r=8 and t=2, then the equation is 7(8)/2. 7*8=56 and then 56/2=28.
Please help I cannot figure out this math problem
Question 4
10 pts
Question 6
Question 7
Question 8
What is the length of line segment DK to the nearest tenth of an inch?
Time Running Hide
1 Hour, 26 Minutes, 25 Sec
16 in
430
D
O 10.9 in
0 21.9 in
O 23.5 in.
O 11.7 in.
« Previous
Next
Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
If x and y are positive real numbers, which expression is equivalent to the expression below?
[tex](125x {4}y^{ \frac{3}{2} })^{ \frac{1}{3} } \div (xy)^{ \frac{1}{2} } [/tex]
5x^5/6
Step-by-step explanation:
A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for . 23 in. 24 in. 25 in. 26 in.
Answer:
23 in
Step-by-step explanation:
We know the area of the circular disc is A = πr² where r = radius and π = 3.14.
So, r = √(A/π)
Now, if A = 1650 square inches,
r = √(A/π)
= √(1650 in²/π)
= √525.48 in²
= 22.92 in
≅ 22.9 in
Also, if A = 1700 square inches,
r = √(A/π)
= √(1700 in²/π)
= √541.40 in²
= 23.27 in
≅ 23.3 in
If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²
then, the radius is between 22.9 in < r < 23.3 in.
Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the area of the circular disc is 1650in², the radius r will be;
A = πr²
1650in² = 3.14 × r²
r² = 1650in² / 3.14
r² = 525.4777in²
r = √( 525.4777in² )
r = 22.9in
Also, if the area of the circular disc is 1700in², the radius r will be;
A = πr²
1700in² = 3.14 × r²
r² = 1700in² / 3.14
r² = 541.40127in²
r = √( 541.40127in² )
r = 23.3in
Next we take the average of the two radii
Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in
The length of the radius of the circular disc is approximately is 23 in.
Hence, option A)23 in is the correct answer.
Learn more about circles here: https://brainly.com/question/11952845
#SPJ5
please help me !!!!
Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
What is the decay factor of the exponential function
represented by the table?
O1/3
O2/3
O 2
O 6
Fact: It is not 6!
And I swear I am not lying!
Answer:
A. 1/3
as x increases the values of the function all become one-third of each other !!
6 is 1/3 of 18
2 is 1/3 of 6
2/3 is 1/3 of 2
7 times what equals 17?
Answer:
119
Step-by-step explanation:
Consider this expression. Select the correct statements.
-6m + 12n + 24
A)
24 is a constant term.
B)
The expression has 3 terms.
The expression he terms.
D
-6 and 12 are coefficients.
E)
-6m and 12n are constant terms.
Answer:
A, B, D
Step-by-step explanation:
A: 24 is a constant term, TRUE
B: The expression has 3 terms, TRUE
Don't know where 'C' is?
D: -6 and 12 are coefficients, TRUE
what is the solution of √5x+1-√x=5
Answer: x= 16
Step-by-step explanation:
Solve for x
√(5x + 1) − √x = 5
Add √x to both sides of the equation.
√(5x + 1)^2 = 5( + √x )^2
To remove the radical on the left side of the equation, square both sides of the equation.
√5x + 12 = (5 + √x)^2
Simplify each side of the equation.
5x + 1 = 25 + 10√x + x
Solve for 10√x.
10√x = 4x − 24
To remove the radical on the left side of the equation, square both sides of the equation.
(10√x)^2 = (4x − 24)^2
Simplify each side of the equation.
100x = 16x^2 − 192x + 576
Solve for x.
x = 9/4 , 16
Exclude the solutions that do not make √5x + 1 − √x = 5 true.x = 16
Find the balance in Grace's account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%. A.)29762.50 B.)2862.50 C.)2762.50 D.)2772.50
Answer: C.)2,762.50
Step-by-step explanation:
The bank is paying a simple interest of 5.25%.
After 2 years, Grace's account will have:
Simple interest:
= Principal * ( 1 + rate * years)
= 2,500 * ( 1 + 5.25% * 2)
= $2,762.50
Determine the slope of the line perpendicular to that of the function graphed below.
I AM IN DYING NEED OF HELP
Answer:
y=4/5x -5
Step-by-step explanation:
the slope is x and x is on the point -5. and d
to find the y-intercept you do rise/run
what is thirty five percent
Answer:
i dont know what you need 35% as but..
Step-by-step explanation:
Decimal : 0.35
Fraction: 7/20
Anybody know the answer for this? ;-;
Answer: the first answer choice
Step-by-step explanation:
Answer:
i think its the bottom one but i dont know
Step-by-step explanation:
Two whole numbers have a least common multiple of 60. each number is less than or equal to12 the greatest common factor of the two numbers is 2 what are the two numbers
Answer:
The answer is 2 and 4. Their multiples can arrive at 60, they are less than 12, and the GCF for both numbers is 2.
Step-by-step explanation:
Will the solution (4, 6) satisfy the following equation: x + y = 18?
5. Read the problem carefully, then choose the inequality that best represents this real life situation. Explain your thinking. Lydia spent $2.50 per pound on apples and $1.80 per pound on oranges. She spent at most $22. Which inequality represents this situation?
(Let a = pounds of apples, and r = pounds of oranges)
a) 2.50 + 1.80 = 22
b) 2.50a + 1.80r = 22
c) 2.50a + 1.80r ≤ 22
d) 2.50a + 1.80r ≥ 22
Answer:
B
Step-by-step explanation:
The answer is B
please help i will give Brainliest to the correct one. Use the Distributive Property to rewrite the expression in its equivalent formImmersive Reader -2x(3y+5)
Answer:
−
6
−
1
0
Step-by-step explanation:
there you go!
Can some one help me out!!
Answer:
The measure, in degrees, of ∠ABC = 25°
Hence, option A is true.
Step-by-step explanation:
Given
The exterior angle m∠CBD = 155°
To determine
The measure of ∠ABC
We know that the exterior angle and interior angle are supplementary angles.
In other words, adding the interior angle and an exterior angle would give us 180°.
Here:
m∠CBD = 155° is exterior angle
∠ABC is the interior angle.
When we add m∠CBD and m∠ABC we would get 180°.
m∠CBD + ∠ABC = 180°
substituting m∠CBD = 155°
155° + ∠ABC = 180°
∠ABC = 180° - 155°
∠ABC = 25°
Therefore, the measure, in degrees, of ∠ABC = 25°
Hence, option A is true.
g(x)=2x-1
h(x)=x^2-3x
find g(x)+h(x)
Answer:
[tex](2x - 1) + ({x}^{2} - 3x) \\ = {x}^{2} - 1x - 1 \\ [/tex]