Answers
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:
[tex]\frac{2}{10}=\frac{3}{x-9}[/tex]
And we want to solve for x.
First, let's reduce [tex]\frac{2}{10}[/tex], as reducing fractions typically makes the process easier
[tex]\frac{2}{10}[/tex] is the same as [tex]\frac{1}{5}[/tex]
So:
[tex]\frac{1}{5}=\frac{3}{x-9}[/tex]
We can't do anything to [tex]\frac{3}{x-9}[/tex], but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
Answer:
24
Step-by-step explanation:
Cross multiply:
2(x - 9) = 2x - 18
3(10) = 30
2x-18 = 30
+18 +18
-----------------
2x = 48
----- -----
2 2
x = 24
Hope this helped.
Related Questions
LCM of two even number is 220, find their sum
Answers
Answer:
Two consecutive even terms and LCM = 180
Let’s assume the two terms:
1st term : 2x
2nd term : 2x + 2
There is a rule which states that
If ‘a’ and ‘b’ are two numbers, then their product is equal to the product of their LCM and HCF.
i.e,
a∗b=HCF∗LCM - (i)
We can logically say that the HCF of any two consecutive even numbers is always equal to ‘2’ provided that the smallest no. is at least ‘2’.
i.e.,
HCF of ‘2x’ and ‘2x + 2’ is ‘2’ - (ii)
Therefore,
from (i) and (ii),
2x∗(2x+2)= HCF * LCM
2x∗(2x+2)=2∗180
x∗(2x+2)=180
2x2+2x−180=0
Solving the quadratic equation we get,
x=9,−10 (we discard -10 since it is negative)
Therefore, the numbers are
2∗9=18 (1st no.)
2∗9+2=18+2=20 (2nd no.)
Answer : 18,20
Step-by-step explanation:
If each side of a cube is doubled, its volume?
Answers
If you double each side the volume is 8 times
Must click thanks and mark brainliest
Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.
Answers
================================================
Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
Please help with this question!
Answers
9514 1404 393
Answer:
about 0.31°
Step-by-step explanation:
First of all, solve for sin(2θ):
3000 = (1/32)(3000^2)sin(2θ)
32(3000)/3000^2 = sin(2θ)
4/375 = sin(2θ) . . . . . . . simplify
Now, we find the corresponding angle:
2θ = arcsin(4/375) ≈ 0.61117°
θ ≈ 0.30558° ≈ 0.31°
The angle of elevation must be about 0.31°.
What’s the value of each variable?
Answers
Answer:
Step-by-step explanation:
(A). y = 110 , z = 63
sin 6x +4sin²3x= 0
sin x + sin 5x = sin 2x . sin 3x
tan 4x. tan 2x = -1
sin 5x + cos 5x - sin x + cos x =√2 cos 3x
cos 5x . cos x + sin³2x = cos 3x . cos x
Answers
Answer:
no entendi muy bien sorry
find the surface area. Leave your answer in terms of pi
Answers
Answer:
210*pi
Step-by-step explanation:
Surface area=2*pi*r*(r+h)
=2*pi*5*(21)=210*pi
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2
PLS HELP ASAP
Answers
Answer:
It's 13.2
Step-by-step explanation:
From pythogras theorem:
[tex]{ \bf{ {a}^{2} = {b}^{2} + {c}^{2} }}[/tex]
[tex] = \sqrt{ {20}^{2} - {15}^{2} } \\ = \sqrt{175} \\ = 13.2[/tex]
I don’t understand how taxes and discounts work in math, could someone explain to me?
Answers
Some additional context would be helpful in providing a complete answer. But the basic idea is this:
• Object ABC has a price X set on it.
• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.
• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.
Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.
• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.
• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.
If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the second flip, and another tail on the third flip?
Please explain,... I'll give you Brainliest if you Explain,... thanks
Answers
Answer:
1/8 of a chance to flip 3 coins and get that exact combination in that order
Explanation:
a coin has 2 sides, heads and tails, with an equal chance to land on each of them. 1/2 chance to get tails on the first flip x 1/2 chance to get heads on the second flip x 1/2 chance to get tails on the third flip. 1/2 x 1/2 x 1/2 = 1/8.
Someone help pleasee
Answers
Answer:
-80
Step-by-step explanation:
We can write the quadratic as
ax^2 + bx+c
4x^2 +8x+9
a=4 b = 8 c=9
The discriminant is
b^2 -4ac
8^2 - 4(4)(9)
64 - 144
-80
Answer:
-80
Step-by-step explanation:
The discriminant is the value under the radical in the quadratic formula. The part of the quadratic formula that is under the radical is [tex]\sqrt{b^2-4ac}[/tex]. So, plug in the needed values and solve for what is under the radical. The b-value is 8; this squared is 64. Then, plug in a and c, 4 and 9. Then multiply these by 4, 4*4*9=144. Finally subtract, 64-144=-80.
help me please!!!!!!!!
Answers
Answer:
BC = 29.4
Step-by-step explanation:
30² = 20² + BC² -2•20•BC•cos(108)
900 = 400 +BC² -12.4•BC
900 -400 = BC² -12.4•BC
BC² -12.4•BC -500 = 0
Solve the equation using Bhaskara and you'll find two possible values for BC, which are:
BC = -17 and BC = 29.4
A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4
2*cosx*(2x+30°) + √3=0
Answers
Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
2 cos ( x ) ( 2 x ) + 2 cos ( x ) * 30 ° + √ 3 = 0 Multiply 2 by 2 4 cos ( x ) x + 2 cos ( x ) *30 ° + √ 3 = 0 Multiply 30 °by 2 4 cos ( x ) x + 60 cos ( x ) + √ 3 = 0Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √34xcos(x)+60cos(x)+√3=0Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194
Answer:
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
1. What property could you use to show that triangles ACT and ODG are congruent?
Answers
Answer:
SSS
Step-by-step explanation:
We do not know any of the angles, and we also do not know if the triangles are right triangles. Thus, SSS is the only option left. We know that all three sides are congruent anyway.
Answer:
SSS
Step-by-step explanation:
AC = OD
AT = OG
CT = DG
You have three congruent sides making ΔACT & ΔODG congruent by SSS.
calculate w reasons the size of the unknown angles
Answers
Answer:
a= 75°
β= 30°
Step-by-step explanation:
α = 75° This is because triangle PQR isosceles. Thus two of its angles are equal and these two are angle α and the one labelled 75.
β = 30° This is because angles in a triangle sum up to 180°. We already know two of these angles. To find β you say 180 - ( 75 × 2)
The answer becomes 30°.
HOPE THIS HELPED
Question
A 2018 Olympic gold medal has a mass of 586 grams. What is the mass of a 2018 Olympic gold medal in
hectograms?
(1 hectogram = 100 grams)
O 0.586
O 5.86
58.6
5,860
Answers
A geometric series has a common ratio of (-2) and the first term is 3.
Show that the sum of the first eight positive terms of the series is 65 535.
Answers
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Given a₁ = 3 and r = - 2 , then
3 × - 2 = - 6
- 6 × -2 = 12
12 × - 2 = - 24
- 24 × - 2 = 48
48 × - 2 = - 96
- 96 × - 2 = 192
The positive terms are in a geometric progression
3, 12, 48, 192, ....
with a₁ = 3 and r = 12 ÷ 3 = 48 ÷ 12 = 4 , then
S₈ = [tex]\frac{3(4^{8}-1) }{4-1}[/tex] = [tex]\frac{3(65536-1)}{3}[/tex] = 65536 - 1 = 65535
Two consecutive even whole numbers have a product of 360. What is the smaller of the
two number?
Answers
Answer:
18
Step-by-step explanation:
To find this answer you would need to use the formula x(x+2) = 360 where x is an even number. This is the formula because any number plus 2 equals the next consecutive, even whole number. If we look at the factors of 360 we see the factors-
360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
If we look through all of the factors 18 and 20 are the only ones with a 2 number difference.
Next, if we plug 18 into the equation:
x(x+2) =360
18(18+2) = 360
324+36 = 360
360 = 360
Since the equation works, x = 18.
Simplify.
4-3i/6-4i
A. 18-i/26
B. 15-3i/26
C. -4+3i
D. 3+2i/13
Answers
Answer:
A
Step-by-step explanation:
To simplify the expression multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 6 - 4i is 6 + 4i , then
= [tex]\frac{(4-3i)(6+4i)}{(6-4i)(6+4i)}[/tex] ← expand numerator./ denominator using FOIL
= [tex]\frac{24+16i-18i-12i^2}{36+24i-24i-16i^2}[/tex]
= [tex]\frac{24-2i+12}{36+16}[/tex]
= [tex]\frac{36-2i}{52}[/tex]
= [tex]\frac{2(18-i)}{52}[/tex]
= [tex]\frac{18-i}{26}[/tex] → A
If p(x) = 3x³-7x-4 and g(n)-4x^3-7x^2- 2x are polynomials then find the degree of p(x)+q (x)
Answers
Answer:
3.
Step-by-step explanation:
p(x) + q(x)
= -x^3 - 7x^2 - 9x - 4
- whose degree is 3 ( the highest index is 3)
Write (25x^2 + 30x + 12) in the form (ax + b)^2 + c.
Answers
Answer:
25 x^2 + 30 x + 12
Parcelas
Plots
Parcelas
Figura geométrica
parabola
Formas alternativas
x (25 x + 30) + 12
(5 x + 3)^2 + 3
5 x (5 x + 6) + 12
Raíces complejas
x = -1/5 i (sqrt(3) + -3 i)
x = 1/5 i (sqrt(3) + 3 i)
Step-by-step explanation:
If -2n + 6 = 36 for some value of n, what is
the value of 3n for the same value of n?
Answers
Answer:
3n = -45
Step-by-step explanation:
-2n + 6 = 36
Subtract 6 from each side
-2n +6-6 = 36-6
-2n = 30
Multiply by -3/2 on each side
-2n * -3/2 = 30 *-3/2
3n = -45
Step-by-step explanation:
first one;-
-2n+6=36
subtract 6 from both sides
-2n=30
divide both side by -2
n= -15
second one:-
what is 3n for the same value of n
n= -15
so 3n = 3× -15
=-45
;- 3n = -45
What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6
Please give explanation
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
Let n represent that number.
(2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator
6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)
12 +6n = 25 +5n . . . . . . . . . eliminate parentheses
n = 13 . . . . . . . . . . . subtract 5n+12
Adding 13 to each term will give 5/6.
__
Check
(2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6
_____
Alternate solution
The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.
Does this graph show a function? Explain how you know.
O A. Yes; the graph passes the vertical line test.
O B. Yes, there are no y values that have more than one xvalue.
O C. No; there are y-values that have more than one xvalue.
O D. No, the graph fails the vertical line test.
Answers
Answer:
A
Step-by-step explanation:
4. Given the diagram below what is the length of RS or the distance across a body of water?
Answers
Answer:
62 ft
i know its a late answer but i just did the test
If the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅. When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
It is given that the length of s ST is 62 feet and PS = PQ.
The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
Since the one angle in both triangles is 90° and the two sides are equal the two triangles are equal.
The ratio of the sides is equal if the triangle is congruent. As a result,
PS / PQ = RS / ST
1 = RS / ST
RS = ST
RS = 62 feet
Thus, if the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.
Learn more about the congruent triangle here:
brainly.com/question/12413243
#SPJ5
Which equation is the inverse of 5y+4= (x+37 + 2?
O y=z28++
O y = 32, 5x + 7 /
054-4--4x+3)2-1
O y=-32, 5x + 1 / 3
ASAP please!!!
Answers
Answer:
It's option D. -3 ± √5x+7/2
See the images below for step by step explanation. I also included a graph for better understanding of the inverse.
In the figure shown, what fractional part of the circle is shaded?
1. 4/15
2. 3/8
3. 5/8
4. 11/15
Answers
Answer:
4/15
Step-by-step explanation:
Add up the unshaded part
1/3 +2/5
Get a common denominator
1/3 *5/5 + 2/5 *3/3
5/15 + 6/15
11/15
Subtract this from 1 for the entire circle
15/15 -11/15
4/15
4/15 is shaded
Answer:
answer is
[tex] \frac{4}{15} [/tex]
Step-by-step explanation:
explanation is in the picture!
plssss help???????? don’t understand
Answers
Answer:
cos N = 7/25 =.28
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos N = MN/ LN
We need to find the ad
Using the Pythagorean theorem
a^2+b^2 = c^2
MN^2 + 48^2 = 50^2
MN^2 + 2304 =2500
MN^2 = 2500-2304
MN^2 =196
Taking the square root
MN =14
cos N = MN/ LN
cos N = 14/50
cos N = 7/25
Answer: CosN (0.28)
A²+B²=C²
In this case we are trying to find the base so
C²-A² = B²
So 50² subtract 48²= B²
2,500 subtract 2,304 = 196
Square root of 196 = 14
Now we have all 3 sides of the triangle we find
Soh Cah Toa
Cah means Cos=Adjacent / hypotenuse
First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent
We have Angle N and we know our hypotenuse (The longest side of the triangle)
The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent
In this cse the angle we solved for B²= 14
Again back "Cah" Cos= Adjacent/hypotenuse
So, 14/50 = 0.28
Step-by-step explanation:
32% of 300 is what number?
Answers
Answer: 96
Step-by-step explanation:
This equation helps
X / 100 = is / of
32/100 = X / 300 (cross multiplication)
32 times 300, divided by 100
= 96
Answer:
96
Step-by-step explanation:
every percent is out of hundred so (32 * 300)/100 = 96
Best answer gets brainliest and 5 star
Answers
Answer:
d no.
Step-by-step explanation:
because in my my personal opinion the function shown on the graph has a smaller rate of change, but a higher starting point
