solve the equation for x
Answer
x = 15Step-by-step explanation:
[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]
Do cross multiplication
[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]
Distribute 15 through the parentheses
[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]
Multiply the numbers : 40 and 6
[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]
Move 15 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]
Subtract 15 from 240
[tex] \dashrightarrow \: \sf{15x = 225}[/tex]
Divide both sides by 15
[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 15}}[/tex]
Hope I helped!
Best regards! :D
Does it make sense to represent the number 15.3 using scientific notation yes or no?
Answer:
Not really. No.
Step-by-step explanation:
15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.
Hope this helps and have a nice day!
13x + 4 + 10x - 1 = 141
Answer:
x=6
Step-by-step explanation:
Answer:
Step-by-step explanation:
13x + 10x + 3 = 141
23x + 3 = 141
23x = 138
x = 6
what sequence of transformations on the red triangle will map it onto the missing portion of the square
Answer:
Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up
Step-by-step explanation:
Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.
Can someone help me please?
Answer:
X-16 the first one
Step-by-step explanation:
The first one is equal to x-4
Compare [tex]2^{\frac{1}{2} }[/tex] and [tex]3^{\frac{1}{3} }[/tex]
Greetings from Brasil...
Before comparing mixed fractions, let's make them inappropriate
2 1/2 = 5/2
3 1/3 = 10/3
Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)
2 1/2 = 5/2 = 15/6
3 1/3 = 10/3 = 30/6
30/6 > 15/6 then
3 1/3 > 2 1/2x²-x-2(area)
x + 1(base)
The triangle above has an area of x2-x-2 and a
base of x + 1. What is the height of the triangle?
area of triangle formula = ½ × Base × Height
X² - X - 2 = ½ × ( X + 1) × Height
X² - X - 2 = (0.5X + 0.5)Height
Therefore,
Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )
solve 3(2d-1)-2d=4(d-2)+5
Answer:
Any value of D would make this equation true (-∞,∞)
Answer:
infinitely many solutions
Step-by-step explanation:
i ready
Q8
The midpoint of GH is M (2,2). One endpoint is H (1,9). Find the coordinates of endpoint G.
Answer:
(3,-5)
Step-by-step explanation:
Given
[tex]M = (2,2)[/tex]
[tex]H = (1,9)[/tex]
Required
Determine G
This is calculated using the following midpoint formula;
[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where
[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]
Substitute these values in the formula above
[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]
Solving for [tex]x_2[/tex]
[tex]2 =\frac{1 + x_2}{2}[/tex]
Multiply both sides by 2
[tex]2 * 2 = 1 + x_2[/tex]
[tex]4 = 1 + x_2[/tex]
[tex]x_2 = 4 - 1[/tex]
[tex]x_2 = 3[/tex]
Solving for [tex]y_2[/tex]
[tex]2 = \frac{9 + y_2}{2}[/tex]
Multiply both sides by 2
[tex]2 * 2 = 9 + y_2[/tex]
[tex]4 = 9 + y_2[/tex]
[tex]y_2 = 4 - 9[/tex]
[tex]y_2= -5[/tex]
Hence, the coordinates of G is [tex](3,-5)[/tex]
Solve the equation for the specified variable.
S = BC-9, for B
B =
Algebra 1 btw
Cual es la de Raiz de 2000
2000 | 2
1000 | 2
500 | 2
250 | 2
125 | 5
25 | 5
5 | 5
1
√2000 = √2².√2².√5².√5
√2000 = 2.2.5√5
√2000 = 20√5
(aproximadamente 44.72135955)
Factorise :
[tex] \sf{ {x}^{2} - 4x - 21 + 10y - {y}^{2} }[/tex]
Show workings too!
Answer:
(x - y + 3)(x + y - 7)
Step-by-step explanation:
x^2 - 4x - 21 + 10y - y^2
= x^2 - y^2 - 4x -21 + 10y
= (x - y)(x + y) - 4x + 10y - 21 Now -21 = + 3 * -7 and +3x - 7x =- 4x so we try:
= (x - y + 3)(x + y - 7)
- this expands to the original expression.
Answer:
(x+y-7)(x-y+3) is your answer
Step-by-step explanation:
x²-4x-21+10y-y²
x²-4x+2²-2²-21+10y-y²
(x-2)²-(y2-10y+25)
(x-2)²-(y-5)²
(x-2+y-5)+x-2-y+5)
(x+y-7)(x-y+3)
Move theses numbers (0.1, 8/7, -1, 2/3, 0.05 )to the blanks to order them from least to greatest value.
Answer:
-1, 0.05, 0.1, 2/3, 8/7
Step-by-step explanation:
Answer:
[See Below]
Step-by-step explanation:
✦ First turn every number into a decimal that can be turned into a decimal:
✧ 0.1
✧ 1.14 (8/7)
✧ -1 (Can't be turned into a decimal)
✧ 0.66 (2/3)
✧ 0.05
✦ Now just order them from Least to Greatest:
✧ -1, 0.05, 0.1, 0.66, 1.14
~Hope this helps Mate. If you need anything feel free to message me.
estimate the value of √13. round to the hundredths.
[tex]\sqrt{13}[/tex] = 3.60555127546
rounded to the nearest hundredth:
3.61
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
O A 6.0%
e.
B. 10.4%
O C. 16.7%
e
D. 23.3%
Answer:
[tex]Probability = 23.3\%[/tex]
Step-by-step explanation:
Given
Number cube
Toss = 8
Required
Probability of not landing on 3
First we need to get the probability of landing on 3 in a single toss;
For a number cube;
[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]
So; the probability is
[tex]P(3) = \frac{1}{6}[/tex]
First we need to get the probability of not landing on 3 in a single toss;
Opposite probability = 1;
So:
[tex]P(3) + P(3') = 1[/tex]
Make P(3') the subject of formula:
[tex]P(3') = 1 - P(3)[/tex]
[tex]P(3') = 1 - \frac{1}{6}[/tex]
[tex]P(3') = \frac{5}{6}[/tex]
In 8 toss, the required probability is
[tex]Probability = (P(3'))^8[/tex]
This gives
[tex]Probability = (\frac{5}{6})^8[/tex]
[tex]Probability = \frac{390625}{1679616}[/tex]
[tex]Probability = 0.23256803936[/tex]
Convert to percentage
[tex]Probability = 23.256803936\%[/tex]
Approximate to 1 decimal place:
[tex]Probability = 23.3\%[/tex]
Can someone please answer this ? * will mark as brainiest *
Answer:
pq= 12 cm
Step-by-step explanation:
I believe PQ would be 12 cm.
Which numbers are rational? The dots, . . . , indicate that the pattern continues. I. 9.9999999 . . . II. 9.234 III. 9.90990999 . . . Which numbers are rational?
Simplify 7(x + 3). 7x + 3 7x + 10 7x + 21 x + 21
Answer: 7x+21
HOPE THIS HELPS :>
Step-by-step explanation:
How are the expressions 8 - 15 and 8 +(15) alike? How are they different?
Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.
They are different because one expression is subtract both numbers while one expression is adding both numbers.
8 - 15 = -7
8 + 15 = 23
Best of Luck!
The Ideal selling price for a certain car is $26,000. The make a good deal app indicates that local prices could vary by 6 percent. What is the lowest price you could expect to find?
Answer:
($26,000/100)*94 = $24,440
Step-by-step explanation:
Divide 26,000 by 100 and multyply by 94 (100% - 6%) = $24,440
If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC
this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC
Please help I’m not getting the right answer
Answer:
its c
Step-by-step explanation:
If a Ferrari, with an initial velocity of 10 m/s, accelerates to a rate of 160 m/s/s for 3 seconds,
what is its acceleration?
Answer:
The acceleration is 160 m/s/s
Step-by-step explanation:
The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.
Please help I've been stuck on this for a while
Answer:
x=5,y=2,z=-1
Step-by-step explanation:
x+y+z=6 ........1
2x-y+3z=5 ..........2
3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3
substitute for x in equation 1 and 2
13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3
z/3+y=5/3 first equation2(13-2z)/3-y+3z=5
26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒
5z/3-y=-11/3 second equationz/3+y=5/3 first equationeliminate y5z/3-y+z/3+y=-11/3+5/3
6z/3=-6/3
z=-1x=(13-2z)/3 ( find x, bu substitute z=-1)x=(13+2)/3
x=15/3 ⇒ x=5x+y+z=65+y-1=6
y=6+1-5
y=2Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ
Answer:
30°
Step-by-step explanation:
[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]
JL = 28,
KL= 5x + 6, and
JK = 3x + 6,
Answer:
KL = 16
Step-by-step explanation:
For this problem, JL is the sum of KL and JK. So we can say this:
JK + KL = JL
( 3x + 6 ) + ( 5x + 6 ) = 28
8x + 12 = 28
8x = 16
x = 2
So, now we can find KL:
5x + 6 = ?
5(2) + 6 = ?
10 + 6 = ?
16 = ?
So the length of KL is 16.
Cheers.
Pleease help me please im giving good points i thin
Answer:
Step-by-step explanation:
greatest to least
1. 7.81 x 10^1
2. √(61)
3. ∛(343)
4. .78
5. 7/9
6. 8%
help ASAPPP !!!!!!!!!!!!!!!!!!!Find the midpoint of the line segment joining points A and B.
A(6,- 7); B(2,3)
Answer:
(4,-2)
Step-by-step explanation:
coordinate of midpoint(x1+x2)/2, (y1+y2)/2
x1=6, x2=2 , y1=-7, y2=3
x=6+2/2 ⇒8/2=4
y=-7+3/2 ⇒ y=-4/2=-2
(4,-2)
0.00035
Write each number in scientific notation.
Step-by-step explanation:
For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).
Answer:
0.00035 = 3.5 × 10 to the -4
Hope it helps :)
A triangle has a perimeter of 77 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle
Answer:
a = 33cm
b = 33cm
c = 11cm
Step-by-step explanation:
Let us say that the sides of the triangle are a, b and c
The perimeter of a triangle can be calculated by adding all three sides of the triangle.
Perimeter = a + b + c
Let side c be the shortest side of the triangle.
From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that
a = 3c and b = 3c
We can input these values into the perimeter of the triangle
Perimeter = 3c + 3c + c = 77
Perimeter = 7c = 77
c = 11
The shortest side, c is = 11 cm
side a is 3 X 11 = 33cm
side b = 3 X 11 = 33 cm