Answer:
first equation=6
second equation=15
Third equation=
Step-by-step explanation:
2(3x+2)=2x+28
6x+4=2x+28
collect like terms
6x-2x=28-4
4x=24
Divide both sides by 4
4x/4=24/4
x=6
second equation
5y+13=43-3y
collect like terms
5y-3y=43-13
2y=30
Divide both sides by 2
2y/2=30/2
y=15
Third equation
4(2a+2)=8(2-3a)
8a+8=16-24a
collect like terms
8a+24a=16-8
32a=8
Divide both sides by 32
32a/32=8/32
a=1/4
1) The solution to the equation is x = 6.
2) The solution to the equation is y = -7.
3) The solution to the equation is a = 0.25
Given are three equations we need to solve for their variables,
1) 2(3x + 2) = 2x + 28
2) 5y + 13 = -43 - 3y
3) 4(2a + 2) = 8(2 - 3a)
Let's solve each equation step by step:
1) 2(3x + 2) = 2x + 28
Expanding the parentheses on the left side:
6x + 4 = 2x + 28
Next, let's isolate the variable terms on one side and the constant terms on the other side:
6x - 2x = 28 - 4
Combine like terms:
4x = 24
To solve for x, we need to isolate x by itself. Divide both sides of the equation by 4:
4x/4 = 24/4
x = 6
Therefore, the solution to the equation is x = 6.
2) 5y + 13 = -43 - 3y
Let's start by moving the variable terms to one side and the constant terms to the other side:
5y + 3y = -43 - 13
Combine like terms:
8y = -56
To solve for y, we divide both sides of the equation by 8:
8y/8 = -56/8
y = -7
Therefore, the solution to the equation is y = -7.
3) 4(2a + 2) = 8(2 - 3a)
First, distribute the multiplication on both sides:
8a + 8 = 16 - 24a
Next, let's group the variable terms on one side and the constant terms on the other side:
8a + 24a = 16 - 8
Combine like terms:
32a = 8
To solve for a, divide both sides of the equation by 32:
32a/32 = 8/32
a = 0.25
Therefore, the solution to the equation is a = 0.25.
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You take a 200 milligram dosage of aspirin. During each subsequent hour, the amount of medication in your bloodstream decreases by about 35% each hour. What level of aspirin (mg) will be in your bloodstream in 4 hours. NEED ANSWER URGENT!!!
Answer: The level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
Step-by-step explanation:
If the amount is decreasing by r%, then the final amount is given by :-
[tex]A=P(1-r)^t[/tex]
, where P = initial value , t= time
Given: P= 200 milligram, r= 35% = 0.35, t= 4 hours
The level of aspirin (mg) will be in your bloodstream in 4 hours = [tex]200(1-0.35)^4[/tex]
[tex]=200(0.65)^4\\\\=200\times 0.17850625\\\\=35.70125\approx35.70 \ mg[/tex]
Hence, the level of aspirin (mg) will be in your bloodstream in 4 hours = 35.70 mg.
Find the area of the shaded part (π=22/7)
Answer:
42cm square
Step-by-step explanation:
Frist find the area of the square. 14*14
Then find the Area of the circle.- (radius) one side of the square is the diameter so, diameter divided by 2 - 14/2=7
After that subtract the area of circle from the area of the square.
Answer:
first we find the area of the square.
area of square=side²
area of square =14²
area of square=196cm²
area of circle=pi×radius²
radius=14/2=7
area of circle=22/7×(7)²
area of circle =22/7×49
area of circle =154cm²
area of shaded region=area of square - area of circle
area of shaded= 196cm²-154cm²
area of shaded=42cm²
The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 1990.
Does the cost of the chemical increase or decrease with time?
Group of answer choices
Increase
Decrease
9514 1404 393
Answer:
increase
Step-by-step explanation:
Your cost function appears to be an exponential function of the form ...
c(x) = (initial cost)·(growth factor)^x
When the growth factor (1.03) is greater than 1, it means the exponential function is increasing with x (time).
The cost function increases with time.
Which words have vertical symmetry for all of the letters in the word? Check all that apply. MOM DIZZY HIT SEAT WAXY
Answer: 1, 3, 5
1.) MOM 3.) HIT 5.) WAXY
Step-by-step explanation: i hope this helps :)
The words in which all letters have vertical symmetry are MOM, HIT, and WAXY so options (A),(C), and (E) are correct.
What is symmetry?If two figures look an exact shape but their size could be small or big then both figures are called similar figures.
When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.
Vertical symmetry is the way by which a latter will completely coincide about a vertical axis.
For example word "A".
If we take a vertical axis in the mid of the word "A" then about this axis the whole word will coincide by left and right.
Thus, another words are M, O, T, Y, H, X.
The words containing the above letters are MOM, HIT, and WAXY.
Hence "The words in which all letters have vertical symmetry are MOM, HIT, and WAXY".
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I don't know how to do math that good so i need help with math
Answer:
sure i can definitely help
Step-by-step explanation:
whats your problem?
Find the missing values in the ratio table.
Miles
28
84
Hours
Can someone tell me the answer to this and explain how to do it?
answer:
-2x + 9 or -2 which is what the question asks
step-by-step explanation:
we have to combine like terms which means terms that are similarin this, only 5x and -7x are like terms since both have x with them9 will stay the same since it does not have a like term5x + 9 + (-7x) = __x + 9
-2x + 9
therefore, -2 goes in the blankElsa sells knitted hats for $5 each. Her goal is to make $300 in sales, so she wants to calculate how many hats she needs to knit (x). choose ALL equations in which x correctly represents the number of hats she needs to sell to meet her goal.
A) x/5 = $300
B) 5x = $300
C) $300x = 5
D) 300/5 = x
E) 5/300 = x
Answer:
B
Step-by-step explanation:
Answer:d and e
Step-by-step explanation:
YESIRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Can someone please help me with this?
Thank you! :)
Answer:
Nah that sounds like a you problem
Step-by-step explanation:
Answer:
my guess is 3/2x+65/3 or 2/3c
Need help on this.. The first one that answer it first correctly gets a BRANLIST
Answer: The answer is C) J' (3,-1), K' (1,-4)
Step-by-step explanation: First, you need to find the location of J, which is located in Quadrant III. You go left 3, and go down 1, making the coordinates of J (-3,-1). Next, you need to find the location of K, which is also located in (-1, -4).
So, the question asks, "What are the coordinates of J' and K' after JK is reflected across the y-axis?"-- Well, first, which line is the x-axis, and which line is the y-axis?
The x-axis is the line that is horizontal(Across) while the y-axis is the line that is vertical( Up and Down).
So you bring J and Ks coordinated over the y-axis to Quadrant IV(4). You already know their original coordinates, so you place the as you would in the picture above, except that the line would be reflected.
What is four fifths mines two thirds sorry for asking
Answer:
2/15
Step-by-step explanation:
4/5-2/3
A dress is marked up from 75 dollars to 125 dollars. What is the percent increase?
Answer:
66.67%
Step-by-step explanation:
Percentage increase
[tex] = \frac{125 - 75}{75} \times 100 \\ \\ = \frac{50}{75} \times 100 \\ \\ = \frac{5000}{75} \\ \\ = 66.67\%[/tex]
-x+2y=3 2x+y=4 can someone help me
Answer:
if we're trying to work out x and y then
x= 1
y= 2
-1+4=3
2+2=4
Answer:
x =1, y=2 hope this helpss
Step-by-step explanation:
Calculate the slope of the points (3, 1) and (2, 4).
Answer:
m=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Use the formula y2-y1/x2-x1
4-1/2-3
3/-1
Therefore, the slope is -3
Easy!
I’ll mark as ✨brainliest✨
Very easy.
The number of planes in a year will be 219000 planes.
How to calculate the value in a year?Rate demonstrates how many times one number can fit into another number. Rate contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
Here, 150 planes arrive in 6 hours. The number of planes in a day which is 24 hours will be:
= 150 × (24/6)
= 600 planes.
The planes in a year will be:
= 600 × 365
= 219000 planes.
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please help i have 7 mins to turn in, thanks :)
Answer:
1) x
2) 2x
3) x√3
Step-by-step explanation:
Complete the mapping of the vertices of ΔDEF.
D(2, –4) → D'
E(1, –1) → E'
F(5, 1) → F'
What is the rule that describes a reflection across the line y = x?
rx = y(x, y) →
Answer:
D I think
Step-by-step explanation:
GH=5 5; <H = 90
1. The mapping of the vertices of ΔDEF will be;
D(2, –4) → D' (-4, 2)
E(1, –1) → E' (-1 , 1)
F(5, 1) → F' (1, 5)
2. The rule of the reflection across the line y = x is;
[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]
What is Refection?
Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.
Given that;
The coordinates are,
D = (2, –4)
E = (1, –1)
F = (5, 1)
Now,
By the given image,
The mapping of the vertices of ΔDEF is;
D(2, –4) → D' (-4, 2)
E(1, –1) → E' (-1 , 1)
F(5, 1) → F' (1, 5)
And, The rule of the reflection across the line y = x is;
[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]
Because in the image its shows the line of reflection.
Therefore,
1. The mapping of the vertices of ΔDEF will be;
D(2, –4) → D' (-4, 2)
E(1, –1) → E' (-1 , 1)
F(5, 1) → F' (1, 5)
2. The rule of the reflection across the line y = x is;
[tex]r_{x} = _{y} (x , y)[/tex] → [tex]r_{y} = _{x} (y , x)[/tex]
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PPLLLLZZZZZ HHHEEELLLLPPPP
Answer:
11 1/3 sq yards
Step-by-step explanation:
4 1/4 x 2 2/3
change into improper fractions: 17/4 x 8/3 = 136/12 = 11 1/4
Please answer this fast thank uuu :)
Answer:
x + 37 = 90
Step-by-step explanation:
Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.
The pyramid pictured below has a total surface area of 156 feet squared find the missing measurement
10 points is all i have
Answer:
maybe 36
Step-by-step explanation:
but can u help me What is the surface area of a square-based pyramid with a base length of 5 m and a slant height of 3 m?
Enter your answer in the box.
The missing measurement is 10 feet.
What is pyramid?A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
To find the surface area of the pyramid, we can use the following formula,
A = (½)Pl + B.
Where P is the base perimeter, l is the slant height and B is the base area.
Here, the base is square-shaped.
Now, let the slant height be x.
A = (1/2)(4 × 6) (x) + (6)²
156 = 12x + 36
12x = 156 - 36
12x = 120
x = 10 feet.
Therefore, the required height is 10 feet.
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Multiple Choice Probability is a measure of how likely an event is to occur. Choose the
best probability for an event that is impossible.
a.0
b. 0.01
0.3
d. 0.6
e. 0.99
f. 1
Answer:
a
Step-by-step explanation:
it should be a if it is impossible there is a 0 chance that it will happen
save bob's grandma by helping people with their math :>
Answer:
15
Step-by-step explanation:
9, 10, 11, 12, 13, 14, 15, 16
Hope that helps!
Which equation represents this situation? y = 1.25x ) Which graph represents the situation?
The second graph represents the situation y=1.25x which has slope 1.25.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y= 1.25x
Slope is 1.25
Now let us plug in (1, 1.25) in the equation
1.25=1.25(1)
Hence, the second graph represents the situation y=1.25x which has slope 1.25.
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please help I will mark brainliest
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answer:
Choice 1) no
Choice 2) yes
Choice 3) yes
Choice 4) no
Choice 5) yes
Choice 6) no
Answer:
2, 3, & 5
Step-by-step explanation:
An item that costs $278.00 is marked 65% off. The store is offering an additional 10% off the discounted price. Sales tax for the item is 4%. What is the final price, including tax?
Apples are advertised as $3 for 2 pounds. How much will it cost for 6 pounds of apples?
Anna just accepted a job at a new company where she will make an annual salary of $66000. Anna was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Anna make as a salary after 6years working for the company? What would be her salary after t years?
Answer:
90000
Step-by-step explanation:
I put 4000 times 6 years then added that to 66000 then got 90000.
Use the FOIL method to check your answer from part A.
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
What is the value of x?
PLZ HELP ME< DON'T UNDERSTAND!!!!!!!!!!
Enter your answer in the box.
x = ?
A right triangle with vertices labeled as A, B, and C. Side C B is the base, and the top vertex is A. Side A B contains a midpoint D. A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D. Angles A C D and B C D are marked with single arc. Side A C is labeled as 3. Base C B is labeled as 4. Segment A D is labeled as 2.25. Segment B D is labeled x.
Use triangle bisect or theorem.
Set up proportion:
X/ 2.25 = 4/3
Cross multiply:
3x = (4 x 2.25)
3x = 9
Divide both sides by 3:
X = 3
Wanda has three times more shirts than her brother, Will. The equation a = 3b, where a represents the number of shirts Wanda has, and b represents the number of shirts Will has, shows this relationship. If Wanda has 24 shirts, how many shirts does Will have?
Answer:
8 shirts
Step-by-step explanation:
Given the equation a = 3b, where
a = the number of shirts Wanda has
b = the number of shirts Wanda's brother (Will) has
Hence if Wanda has 24 shirts then
24 = 3b
Divide both sides by 3
24/3 = b
b = 8 shirts
Will has 8 shirts.
Answer:
8 shirts
Step-by-step explanation: