Answer:
1/2 = y or y = 1/2
Step-by-step explanation:
-1/2 = y-1
1/2 = y
Because you added one to isolate the avriable, you have to add one to the other side as well, -1/2 + 1 = 1/2
A teacher divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?
Answer:
195 students.
Step-by-step explanation:
Each group of three created (or used) 9 pictures.
So that means three pictures per student.
Dividing 585 students by 3 pictures per student means that there are
585/3 = 195 students.
The difference of 2 numbers is 2 and their product is 224. Find the numbers
Answer:
Step-by-step explanation:
12
Answer:
Step-by-step explanation:
The two numbers are 14 and 16 their product is 224 and their difference is 2
What is the estimated sum of 69,129,139,97
Answer:
440
Step-by-step explanation:
70 + 130 + 140 + 100 = 440
1. Michelle bought 30 marbles at the flea market. She wants to put them into itte bags with 5 marbles in each bag. How many bags will she needs Show how you found your answer.
Answer:
She will need 60 bags.
Step-by-step explanation:
You would need to divide 5 marbles by 30 marbles and get 60 groups. So 60 bags.
Solve the equation F= 9/5C + 32 for c
Put the steps in correct order
5(F-32) = 9C
F-32 = 9/5C
5/9(F-32)=C
Answer:
1. [tex] F - 32 = \frac{9}{5}C [/tex]
2. [tex] 5(F - 32) = 9C [/tex]
3. [tex] \frac{5}{9}(F - 32) = C [/tex]
Step-by-step explanation:
Given:
[tex] F = \frac{9}{5}C + 32 [/tex]
Required:
Solve for C
Solution:
In order to solve C, we need to isolate C in[ tex] F = \frac{9}{5}C + 32 [/tex] by following the steps below:
Step 1: subtract 32 from each side
[tex] F - 32 = \frac{9}{5}C [/tex]
Step 2: Multiply both sides of the equation by 5
[tex] 5(F - 32) = 9C [/tex]
Step 3: Divide both sides by 9
[tex] \frac{5}{9}(F - 32) = C [/tex]
Geometry
What is the value of the missing angle once again will give brainliest
Answer:
21 degrees
Step-by-step explanation:
A rectangle has a diagonal of 5 feet. If one of the sides of the rectangle is 3 feet, what is the
length of the other side?
Step-by-step explanation:
The other side is given by
[tex]5 {}^{2} - 3 ^{2} [/tex]
Whic is 4
-
What is (1 +i)5?
-4-4i
-4+4i
4-4i
4+4i
Answer:
It's -4 -4i
Step-by-step explanation:
Because it is
A
-4-4i
For the person that commented. the 5 is an exponent.
9k + 3 > 6k - 18
9k + 3 > 6k - 18
Answer:
k > −7
Step-by-step explanation:
1 Subtract 6k6k from both sides.
9k+3-6k>-189k+3−6k>−18
2 Simplify 9k+3-6k9k+3−6k to 3k+33k+3.
3k+3>-183k+3>−18
3 Subtract 33 from both sides.
3k>-18-33k>−18−3
4 Simplify -18-3−18−3 to -21−21.
3k>-213k>−21
5 Divide both sides by 33.
k>-21/3
6 Simplity 21/3 to 7.
k>-7
Hope This Helps.
Answer:
k > -7
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
9*k+3-(6*k-18)>0
Step by step solution :
STEP 1:
Pulling out like terms
1.1 Pull out like factors :
3k + 21 = 3 • (k + 7)
Equation at the end of step 1:
STEP 2:
2.1 Divide both sides by 3
Solve Basic Inequality :
2.2 Subtract 7 from both sides
k > -7
Inequality Plot :
2.3 Inequality plot for
3.000 X + 21.000 > 0
One solution was Made :
k > -7
HOPE THIS HELPS!
PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)
Could someone help me solve this problem?
Answer:
3x+6
Step-by-step explanation:
All triangles are equal to 180 so it'll be set up as such:
x + (x+4) + (x+2) = 180
x + x + 4 + x +2 = 180
3x + 6 =180
and then simplify to get x
3x + 6 - 6 = 180 - 6
3x = 174
x=29
Then plug it into the angle measure you're trying to find
For angle c: (29 + 2)
Answer:
[tex]\boxed{x=58}[/tex] & [tex]\boxed{m \angle C = 60}[/tex]
Step-by-step explanation:
You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.
Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.
[tex]A+B+C=180[/tex] [tex](x+4)+(x)+(x+2)=180[/tex]Combine like terms on the left side of the equation.
[tex]3x + 6 = 180[/tex]Subtract 6 from both sides of the equation.
[tex]3x=174[/tex]Divide both sides of the equation by 3.
[tex]x=58[/tex]Now that you've found the value of x, you can use this value to plug into the expression for angle C.
[tex]C=x+2[/tex] [tex]C=(58)+2[/tex] [tex]C=60[/tex]Therefore, the final answer is:
[tex]x=58\ \text{and} \ m \angle C = 60[/tex]
solve the equation -29=m-13
Answer:
-16
Step-by-step explanation:
-29 + 16=-13
m=13
We need to solve for m. So to solve for m we do inverse operations.
-29=m-13. We are going to solve for m, and so we add 13 (inverse operations)
-16=m
m=-16 We now know that m is equal to -16
Add or subtract as indicated.
(3 + 3i) - (3 + 2i) + (1 + 41)
Answer:
i+42
Step-by-step explanation:
(3+3i) - (3+2i) + (1+41)
= 3+3i-3-2i+1+41
= 3i-2i+1+41
= i+42
Suppose 56V% of politicians are lawyers. If a random sample of size 787787 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4%4%
Answer: 0.0238
Step-by-step explanation:
Given : Proportion of politicians are lawyers: p= 0.56
Sample size : n= 787
Let [tex]\hat{p}[/tex] be th sample proportion.
The the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-
[tex]P(|\hat{p}-0.56|>0.04)=P(-0.04>\hat{p}-0.56>0.04)=\\\\ P(-0.04+0.56>\hat{p}>0.04+0.56)\\\\=P(0.52>\hat{p}>0.60)\\\\=P(\dfrac{0.52-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}}>\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.60-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}})\\\\=P(-2.26>z>2.26)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(-2.26<z<2.26)\\\\=1-(2P(Z > 2.26)-1)\ \ \ [P(-z<Z<z)=2P(Z > |z|)-1]\\\ =2-2P(Z > 2.26)\\\\=2-2(0.9881)=0.0238[/tex]
Hence, the required probability = 0.0238
Scotty bought a used truck for $3,000. If it had been new, he
-would have paid $15,000.-What is the percent decrease?
Answer:
20%
Step-by-step explanation:
Percentage Calculator: 3000 is what percent of 15000? = 20%
Help. I will give brainliest
Answer:
1. 95.347
2. 115.75
3. 245.65
Step-by-step explanation:
If cosθ = x, then = ± √1+x/2.
A. sin θ/2
B. cos2θ
C. sin2θ
D. cos θ/2
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \cos( \alpha ) = x[/tex]
[tex] {sin}^{2}( \alpha ) = 1 - {cos}^{2}(x) [/tex]
[tex] {sin}^{2}( \alpha ) = 1 - ({x})^{2} [/tex]
[tex] \sin( \alpha ) = ± \sqrt{1 - {x}^{2} } [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Look :
[tex] \sin(2 \alpha ) = 2. \sin( \alpha ) . \cos( \alpha ) [/tex]
[tex] \sin(2 \alpha ) = 2 \times ( ± \sqrt{1 - {x}^{2} })(x) \\ [/tex]
[tex] \sin(2 \alpha ) = ± \: 2 \: x \: \sqrt{1 - {x}^{2} } [/tex]
________________________________
[tex] \cos(2 \alpha ) = {cos}^{2}(x) - {sin}^{2}(x) [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} - ({± \: \sqrt{1 - {x}^{2} } })^{2} \\ [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} - |1 - {x}^{2} | [/tex]
If | 1 - x² | ≥ 0 :
[tex] \cos(2 \alpha ) = {x}^{2} - (1 - {x}^{2}) [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} - 1 + {x}^{2} [/tex]
[tex] \cos(2 \alpha ) = 2 {x}^{2} - 1 [/tex]
If | 1 - x² | < 0 :
[tex] \cos(2 \alpha ) = {x}^{2} - ( - 1 )(1 - {x}^{2} ) \\ [/tex]
[tex] \cos(2 \alpha ) = {x}^{2} + 1 - {x}^{2} [/tex]
[tex] \cos(2 \alpha ) = 1 [/tex]
_________________________________
[tex] {sin}^{2}( \frac{ \alpha }{2} ) = \frac{1 - \cos( \alpha ) }{2} \\ [/tex]
[tex] {sin}^{2}( \frac{ \alpha }{2} ) = \frac{1 - x}{2} \\ [/tex]
[tex] \sin( \frac{ \alpha }{2} ) = ± \sqrt{ \frac{1 - x}{2} } \\ [/tex]
_________________________________
[tex] {cos}^{2}( \frac{ \alpha }{2} ) = \frac{1 + \cos( \alpha ) }{2} \\ [/tex]
[tex] {cos}^{2}( \frac{ \alpha }{2} ) = \frac{1 + x}{2} \\ [/tex]
[tex] \cos( \frac{ \alpha }{2} ) = ± \sqrt{ \frac{1 + x}{2} } \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which equation represents the statement: Three times the sum of a number and 5 is -30
Answer:
Not 100 percent but im pretty sure it is 3(n+5)=-30 i found other sites saying its that its up to you if you wanna believe me
Step-by-step explanation:
find the value of x. (6x-3) 75°
the value of x is 13
It is possible to subtract a 3X4 matrix and a 3 X 4 matrix.
O True
False
Answer:
True
Step-by-step explanation:
A matrix needs to be in a same size
In order to be increased, decreased, etc
So it is true
It won't be false trust me ;)
I hope this helps you :)
Write the equation for a line that passes through (5,-4) and is perpendicular to the
linear function 2x - 10y = 0
Answer:
y = -5x -24
Step-by-step explanation:
Given parameters:
Coordinates of the line = (5, - 4)
Linear function ;
2x - 10y = 0
Solution:
The equation of the line perpendicular to this line will have a slope that is the a negative inverse of the given line;
2x - 10y = 0
Equation of a line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
We find the slope and y-intercept of the new line;
From: 2x - 10y = 0
Rewrite;
-10y = -2x
y = [tex]\frac{-2}{-10}[/tex]x
y = [tex]\frac{1}{5}[/tex]x
The slope of this line is [tex]\frac{1}{5}[/tex] , the line perpendicular will have slope of -5
For the new line;
y = mx + c
let us find c;
-4 = -5( -4) + c
-4 = 20 + c
c = -20 - 4
c = -24
The equation of the perpendicular line is;
y = -5x -24
What is the sum of -2 and -18?
Answer:
-2+(-18)
-2-18
-20
is the answer for your question
Answer:
-20
Step-by-step explanation:
To find the sum of two numbers you must add them. So, -2+(-18)=-20. If the signs look confusing then you simplify it a little, remember that adding a negative is the same as subtracting. So -2-18=-20 is equivalent.
E, F, and H are three of the vertices of rectangle EFGH on the coordinate plane. What are the coordinates of G, the fourth vertex of the rectangle?
if ABCD and EFGH are similar, then you should be able to line up corresponding points (for example, A corresponds to E, B corresponds to F). if they're different sizes, you should then dilate one of them so that they are the exact same size
Answer:
The coordinates of G are (-5, -5)
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Megan purchased a bushel of apples from the Farmers Market that contained only large and small apples. There were exactly 129 apples in the bushel Megan purchased. Based on this and information from the previous problem, what is the positive difference between the number of large apples and the number of small apples in the bushel of apples Megan purchased?
Simplify 2•5^2 . Please
Help
Answer:50
Step-by-step explanation:
Answer: 50
Step-by-step explanation: according to pemdas you do exponets first so 5 over 2=5*5=25 then multiply by 2=25*2=50
Find the value of x.
Answer:
The answer is 109 degrees.
Step-by-step explanation:
Any triangle's angles add up to 180 in total, so we can create the equation 64+45+__=180. Using some simple algebra we can change this equation into the equation 180-109=71. This solves the inner triangle, and the outside angle, x is supplementary (meaning it adds up to 180) to 71. 180-71 = 109.
Glad I could help!
A rectangular garden must have a perimeter of 155 feet and an area of at least 1400 square feet. Describe the possible lengths of the garden. Round your answers to the nearest foot. The approximate length of the garden is at least feet and at most feet.
Answer:
Step-by-step explanation:
Perimeter of a garden = 2(L+W)
Area of the gerden = LW
L is the length
W is the width
Given
Perimeter = 155ft
Area = 1400ft²
Substitute
1400 = LW
155 = 2L+2W
from 1;
W = 1400/L
Substitute into 2;
155 = 2L + 2(1400/L)
155 = 2L + 2800/L
155L = 2L² + 2800
2L²-155L + 2800 = 0
Factorize
L = 155±√155²-4(2)(2800)/4
L = 155±√24025-22400/4
L = 155±√1625/4
L = L = 155±40.31/4
L = 194.31/4
L = 48.82 feet and;
L = 155-40.31/4
L = 28.67ft
Hence the approximate length of the garden is at least 28.67 feet and at most 48.82 feet.
The possible lengths of the garden are:
The least approximate length = 29 feet
The most approximate length = 49 feet
The area of the rectangle is at least 1400 square feet
That is:
Area ≤ 1400
Let the length be represented by L
Let the width be represented by W
Let the area be represented by A
The area of a rectangle is:
Area = Length x Width
A = LW
LW ≥ 1400....................(1)
The perimeter of the rectangle is 155 feet
P = 2(L + W)
2(L + W) = 155............(2)
Make W the subject of the formula
L + W = 155/2
L + W = 77.5
W = 77.5 - L.............(3)
Substitute W = 77.5 - L into equation (1)
L(77.5 - L) ≥ 1400
77.5L - L² ≥ 1400
-L² ≥ 1400 - 77.5L
0 ≥ L² - 77.5L + 1400
L² - 77.5L + 1400 ≤ 0
Solving the quadratic inequality above
29 ≤ L ≤ 49
The least approximate length of the garden = 29 feet
The most approximate length of the garden = 49 feet
Learn more here: https://brainly.com/question/19308936
Solve for the missing variables.
x= ?
y= ?
Which car will travel the greatest distance (in miles) per gallon?
A. The total distance that a Toyota Prius can travel in miles (M) given any gallons of gas (g) is given by M
= 35g.
B. A Toyota Sienna used 2.5 gallons to travel 55 miles.
C AND D ATTACHED
BEST ANSWER GETS BRAINLIEST
Given a quadratic function that is reflected across the
1
X-axis, vertically compressed by a factor of shifted
3
3 units to the right, and 2 units down, write the equation
of this quadratic function in vertex form.
Answer:
y=1/3 x2
Step-by-step explanation:
how many times does 100 go in to 120?
Answer:
only one time that is the answer
Answer:
1.2
Step-by-step explanation: