Answer:
x = 5, x = 4
Step-by-step explanation:
Oh I love these!!
3x + 8 + 2x = -3(x-16)
First, distribute the -3 across the parentheses. -3(x-16)
3x + 8 + 2x = -3x + 48
Next, let's add 3x and 2x on the left side of the equation there to clean it up a bit and give us less numbers to work with. 3x + 2x
8 + 5x = -3x + 48
Let's take the opportunity to add -3x on both sides so we can get all of the algebraic expressions containing (x) on one side.
8 + 8x = 48
Subtract 8 on both sides.
8x = 40
Divide by 8 to finally isolate x!
x = 5
Second one let's go!
0.5(6x - 4) = 2x - 6x + 26
Similar to the first equation, we'll need to distribute the 0.5 across the parentheses first. 0.5(6x - 4)
3x - 2 = 2x - 6x + 26
To clean the equation up let's subtract 6x from 2x on the right side of the equation there.
3x - 2 = -4x + 26
Add 2 to both sides.
3x = -4x + 28
Isolate the algebraic expressions that hold our x variables captive. (Add -4x to both sides.)
7x = 28
Divide by 7 on both sides to isolate x.
x = 4
On a distant planet, a 20º central angle intercepts an arc of 4067 miles. What is the radius of the planet at its equator?
The radius of the planet is
miles. (Simplify your answer.)
Answer: 11,682.4 miles
Step-by-step explanation:
We can think the planet as a circle:
if we have a circle of radius R, and an arc of A degrees in the circle, the lenght of the arc is:
L = (A/180°)*3.14*R
Here we know that:
L = 4076 miles
A = 20°
Then:
4076mi = (20/180)*3.14*R = 0.3489*R
R = 4076mi/0.3489 = 11,682.4 miles
Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.
A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5
Answer:
b
Step-by-step explanation:
Hope this helpsss :)
Answer:
your answer will be: B. y3 - 4 y2 + 2 y - 5
Step-by-step explanation:
What must be the length of XY if triangle ABC is
similar to triangle XYZ?
a. 8
b. 10
c. 12.8
d. 20
Answer:
x=12.8
Step-by-step explanation:
xy / 8 = 16 /10
xy = (8 * 16) / 10
xy = 12.8
Can you help me please
Answer:
372.6
3Step-by-step explanation:
If sales tax is 10 percent, and a new palr of sneakers costs
$70, how much do you actually have to pay?
Answer:
77
Step-by-step explanation:
10 percent of 70 is 7 so 70 plus 7 is 77
Answer:
77
Step-by-step explanation:
70 x 10%= 7
70+7= 77
please help i don't get it
Answer:
97 cm
Step-by-step explanation:
The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be
3 + 10 + 3 + 33 + 33 + 15 = 97 cm
Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.
Answer:
(x-2)(3x)+(x-2)(4)
When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.
Please help ASAP will mark brainliest
Answer:
-3y^2-7y+6
Step-by-step explanation:
We can use foil to solve this equation:
(-3y+2)(y+3)=
(-3y*y)+(-3y*3)+(2*y)+(2*3) (symplify)=
-3y^2-9y+2y+6
Which equals to -3y^2-7y+6
We can use FOIL to solve.
(-3y + 2)(y + 3)
(-3y * y) + (-3y * 3) + (2 * y) + (2 * 3)
-3y^2 + -9y + 2y + 6
-3y^2 + -7y + 6
-3y^2 - 7y + 6
The answer is A
Best of Luck!
What is the inverse function of f(x) = z/z-2
Answer:
f^-1(z) = 2z/z-1
Answer:
Step-by-step explanation:
The function declaration
f
(
x
)
f
(
x
)
varies according to
x
x
, but the input function
z
2
z
2
only contains the variable
z
z
. Assume
f
(
z
)
=
z
2
f
(
z
)
=
z
2
.
f
(
z
)
=
z
2
f
(
z
)
=
z
2
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.
a equals 9 comma
b equals 8 comma
A equals 50 degrees
Answer:
B = 42.9°
C = 87.1°
c = 7.4
Step-by-step explanation:
In this problem we are given two sides and one angle of a triangle ABC. The given values are:
a = 9
b = 8
A = 50°
In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.
Calculating, let's the the law of sines.
[tex] \frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c} [/tex]
[tex] \frac{sin 50}{9} = \frac{sin B}{8} = \frac{sin C}{c} [/tex]
Taking for A & B, we have:
[tex] \frac{sin 50}{9} = \frac{sin B}{8} [/tex]
Let's cross multiply
(sin 50°)(8) = 9 sinB
Solving further,
[tex]sin B = \frac{8 sin 50}{9}[/tex]
[tex] sin B = \frac{6.128}{9}[/tex]
[tex] B =sin^-^1(0.68)[/tex]
B = 42.9°
Since the total angle of a triangle is 180°, to find C, we have:
C = 180 - 50 - 42.9
C = 87.1°
To find the length of c, let's also use the sine formula.
[tex]\frac{sin B}{b} = \frac{sin C}{c} [/tex]
[tex]\frac{sin 42.9}{8} = \frac{87.1}{c} [/tex]
Cross multiplying
8c = 87.1 sin 42.9
[tex] c = \frac{87.1 sin42.9}{8} [/tex]
c = 7.4
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2
Answer:
12
Step-by-step explanation:
We can use the pythagorean theorem giving us:
a^2+b^2=c^2
(6sqr2)^2 + (6sqr2)^2 = c^2
72+72=c^2
144=c^2
12=c
Identify the vertex of the function graphed below.
A.
(1,2)
B.
(2,-1)
C.
(3,-2)
D.
(0,7)
Answer: (3, -2)
Step-by-step explanation:
The vertex is the highest or lowest point of a parabola, and I found it. Hope this helps :)
Answer: C.) 3,-2
Step-by-step explanation: The vertex is where the point or the curve of the vertex meets another point, wheras on this graph -2 and 3 are symmetrical and meet up on the graph.
brainliest & points!
i need help with math asap, show work too if possible :)
Answer:
I think the answer is x is 16 and y is 20? I could be wrong tho
Step-by-step explanation:
First, subtract -7 from -1 to get 8.
Then, add the 12 and you get 16 for x.
First, subtract 7y from 9x to get 2y
Then, add 4 to get 20 for y.
Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work
A. 2
B. 18
C. 40
D. 80
Answer:
the answer is 40
Step-by-step explanation:
you have to multiply 8x10=80 divied by 20 which equal 40
Answer:
c
Step-by-step explanation:
Elias writes the numbers 1 through 20 on separate slips of paper. There are 16 white slips of paper and four yellow slips of paper. There are eight odd numbers on white slips, and the rest of the odd numbers are on yellow slips. Are the events "odd” and "yellow” independent?
Answer:
odd
Step-by-step explanation:
Answer:
yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:
EDGEEE 2022
A comedy show will be held this Friday at the local theater. Tickets are $9 each. The theater has 828 seats. How much money will the theater collect if tickets sell out for all shows? What is the product of 828 and $9? $7,282 $7,290 $7,352 $7,452
Answer: $ 7452.00
Step-by-step explanation:
Answer:
Step-by-step explanation:
Money collected by the theater = 828 * 9
= $ 7452
Can you Graph y= 2/3x -4, please
Quite a vague question, I used desmos to graph the attached photo.
A family has 4 children: Ariel, Bob, Chris, and Diana. Assuming that all birth orders are equally likely.
Find the probability that Ariel is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Ariel is older than Bob.
Find the probability that Ariel is older than Diana, if it is given that Chris is older than Diana.
Find the probability that Ariel is older than Diana, if it is given that Diana is older than Bob.
Answer:
A) 0.5
B) 0.375
C) 0.375
D) 0.167
Step-by-step explanation:
Let's call
a: Ariel
b: Bob
c: Chris
d: Diana
There are 4*3*2*1 = 24 total combinations to order the 4 children
A) Ariel is older than Diana in the following 12 cases:
a b c d
a b d c
a c b d
a c d b
a d b c
a d c b
b a c d
b a d c
b c a d
c a b d
c a d b
c b a d
Then, the probability is 12/24 = 0.5
B) The condition "Ariel is older than Diana, if it is given that Ariel is older than Bob" is satisfied in the six first cases and last three cases of before.
Then, the probability is 9/24 = 0.375
C) Ariel is older than Diana, if it is given that Chris is older than Diana, in the following cases:
a b c d
a c b d
a c d b
a d c b
b a c d
b c a d
c a b d
c a d b
c b a d
Then, the probability is 9/24 = 0.375
D) Ariel is older than Diana, if it is given that Diana is older than Bob, in the following cases:
a c d b
a d b c
a d c b
c a d b
Then, the probability is 4/24 = 0.167
Answer:
jesus
Step-by-step explanation:
Given: m∠ABC = 50°,
AC = 30
Find: OA
Answer:
OA = 19.58
Step-by-step explanation:
If we draw the segments OA and OC, we will have an isosceles triangle OAC.
With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:
mAOC = 2 * mABC
mAOC = 2 * 50 = 100°
As the triangle OAC is isosceles, we have that mOAC = mACO.
Knowing that the sum of internal angles of a triangle is 180°, we have:
mACO + mOAC + 100 = 180
2 * mACO = 80
mACO = 40°
Now, using the law of sines, we have:
OA / sin(ACO) = AC / sin(AOC)
OA / 0.6428 = 30 / 0.9848
OA = 30.463 * 0.6428 = 19.58
Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has
the same number of seeds.
We can have the following cases:
5 pots and each pot has 15 seeds.
3 pots and each pot has 25 seeds.
15 pots and each pot has 5 seeds.
What are factors of a number?Factors are the numbers that divides another number with no remainder.
Given,
Davi has 75 flower seeds.
Every seed is planted.
Every pot has the same number of seeds.
Find the number of pots.
We have,
Total seeds = 75
Since every seed must be planted we can have the following cases.
Case1 - 5 x 15
Here there are 5 pots and each pot has 15 seeds
Case2 - 3 x 25
Here there are 3 pots and each pot has 25 seeds.
Case3 - 15 x 5
Here there are 15 pots and each pot has 5 seeds.
Thus we can have the following answer:
5 pots and each pot has 15 seeds.
3 pots and each pot has 25 seeds.
15 pots and each pot has 5 seeds.
Learn more about finding the number of seeds planted in each pot here:
https://brainly.com/question/5174883
#SPJ2
Which statement is the correct solution?
I believe what answer you have put is correct
keisha estimates 259 + 372 by rounding each number to the nearest 10 what is keisha estimate of the sum
Answer:
630
Step-by-step explanation:
260+370
This question is based on the rounding off rule. Therefore, Keisha estimate of the sum is 630.
Given:
Keisha estimates 259 + 372 by rounding each number to the nearest 10.
We need to determined the what is Keisha estimate of the sum.
According to the question,
By using the round- off rule as follows:
If the numbers are 5, 6, 7, 8, or 9, round the number up.Example: 38 rounded to the nearest ten is 40. ...
If the number are 0, 1, 2, 3, or 4, round the number down.Example: 33 rounded to the nearest ten is 30.
First we rounding off the 259,
From the first rule, 259 is round the number up.
Therefore, we get the value 260.
Now,rounding off the 372,
From the second rule, 372 is round the number down.
Therefore, we get the value 370.
Now, sum up the both numbers,
260 +370 = 630
Therefore, Keisha estimate of the sum is 630.
For more details, prefer this link:
https://brainly.com/question/7378412
Simplify 5(x – 7) + 6x.
Answer:
11x -35
Step-by-step explanation:
5(x – 7) + 6x.
Distribute
5x - 35 +6x
Combine like terms
11x -35
Answer:
11x-35
is the answer
find the missing letter which is N.the length is 25 in and the perimeter is 86 in
Answer:
Step-by-step explanation:
length = 25 in
Perimeter = 86 in
2*(length + width) = 86
2*(25 + N) = 86
Divide both sides by 2
25 + N = 86/2
25 + N = 43
Subtract 25 from both sides
25 + N - 25 = 43 - 25
N = 18
-7 2/3+(-5 1/2) +8 3/4 sorry I'm to stupid to figure this out
A positive and a negative become a negative. First you convery the mixed fraction into an improper fraction, then you find the common denominator of all fractions, next step according to PEMDAS, you can add and subtract in any order you would like too.
1. -7 2/3 - 5 1/2 + 8 3/4
2. -23/3 - 11/2 + 35/4
3. -92/12 - 66/12 + 105/12 The common denominator is 12.
4. -92/12 - 66/12 = -158/12 A negative and a negative is addition but just add the negative sign.
5. -158/12 + 105/12 = -53/12 =
Answer= -4 5/12
This is my way of doing it but according to PEMDAS any other order of doing it is fine also!
The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.
Answer:
x = 10 units
Step-by-step explanation:
The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).
Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units
If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)
Please Help!!!!!!!!! Extra points and branliest will be given!!!
Answer: The answer is 12 units
Step-by-step explanation: just finished the unit
Answer:
so it is C
Step-by-step explanation:
a=4
b=5
c=√(4²+5²)=√(16+25)=√41
4+5+√41≈15
obtuse
scalene
right
isosceles
Answer: It is an isosceles triangle. It will have two equal sides.
Step-by-step explanation:
Answer:
isosceles
Step-by-step explanation:
two of the sides are equal
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.
Answer:
I dont know
Step-by-step explanation:
I dont know sorry
Answer:
70
Step-by-step explanation: