Answer:
7
Step-by-step explanation:
-x+2+5x=10(x-4)
4x+2=10x-40
2+40=10x-4x
42=6x
42/6=6x/6
7=x
Answer:
x = 7
Step-by-step explanation:
-x + 2 + 5x = 10 (x - 4)
=> 4x + 2 = 10x - 40
=> 4x - 10x = -40 - 2
=> -6x = -42
=> 6x = 42
=> x = 42/6
=> x = 7
One day May and I visited a book far in one of the mats Liza saw 2 books ang Php 44 35 and Php 67 50 each. She wanted to buy the 2 books and B pieces of bookmarks which cost P8 75 each but she only had Php127.85. May offered to share her money How much did May share si Liza so that she could buy the books and bookmarks?
Asked:_____________________________
Given:_____________________________
Operation;__________________________
Number Sentence:___________________
Answer:____________________________
The amount May shared can be calculated using the expression 16 - 8.75B.
Asked: How much did May share with Liza so that she could buy the books and bookmarks?
Given:
Cost of the first book: Php 44.35
Cost of the second book: Php 67.50
Cost of each bookmark: Php 8.75
Total amount Liza had: Php 127.85
Operation:
We need to find the amount May shared with Liza to buy the books and bookmarks.
Number Sentence:
Let x be the amount May shared with Liza.
The total cost of the two books and B bookmarks can be represented by the equation:
44.35 + 67.50 + 8.75B = 127.85 - x
To solve for x, we rearrange the equation:
x = 127.85 - (44.35 + 67.50 + 8.75B)
x = 127.85 - 111.85 - 8.75B
x = 16 - 8.75B
Answer: The amount May shared with Liza depends on the number of bookmarks Liza wanted to buy (represented by B). The amount May shared can be calculated using the expression 16 - 8.75B.
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Will mark brainliest
Answer:
27
Step-by-step explanation:
Graph the image of △UVW after a rotation 270° clockwise around the origin.
Step-by-step explanation:
step 1. U(-7, 2) -> U'(-2, -7)
step 2. V(-7, 7) -> V'(-7, -7)
step 3. W(-1, 6) -> W'(-6, -1)
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3. 14 for π and round your answer to the nearest tenth. 7. 1 square feet 9. 4 square feet 18. 8 square feet 28. 3 square feet.
To calculate the approximate number of square feet of turf that need to be painted for a base circle with a diameter of 3 feet, the area of a circle: A = πr², approximately 7.1 square feet of turf need to be painted.
Given that the diameter is 3 feet, the radius would be half of that, which is 1.5 feet. Substituting this value into the formula, we have:
A = 3.14(1.5)²
Simplifying the equation:
A = 3.14(2.25)
A ≈ 7.065
Rounding this to the nearest tenth, we get:
A ≈ 7.1 square feet
Therefore, approximately 7.1 square feet of turf need to be painted for a base circle with a diameter of 3 feet, by using the formula for the area of a circle and substituting the radius (which is half the diameter), we can calculate the approximate number of square feet required for the base circle. The rounded answer is approximately 7.1 square feet.
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I need help can someone help me
Answer:
Choose two of the following 3: <G, <EGF, <FGE
Step-by-step explanation:
There are 3 ways to name that angle.
Choose any two of the following three:
<G, <EGF, <FGE
If this net were to be folded into a cube, which number would be opposite of the number 1
Answer:
Number 5
Step-by-step explanation:
When the net is folded, 3 will be folded left and up, with 4 being the base. 6 will be folded right, with 2 being the top of the cube.
So, we have pairs
2 and 4
6 and 3
1 and 5
So, the opposite of the number 1 is the number 5
Bike rental company A charges an initial fee of $8 plus $1.25 for every hour spent biking. Bike rental company B charges $2.75 for every hour spent biking. A biker finds that after h hours, the bike rental companies will cost the same.
Which equation represents this situation?
A. 2.75h=8−1.25h
B. 2.75h=8+1.25h
C. 2.75h+1.25h=8
D. 2.75h+8=1.25h
Solve 3/4 divided by 5/6 and then reduce the answer.
Answer:
(3/4) : (5/6) = 910 = 0.9. Spelled result in words is nine tenths.
Step-by-step explanation:
Answer:
9/10
Step-by-step explanation:
to divide by a fraction, multiply by its reciprocal.
3/4 x 6/5
cancel the common factor of 2
3/2 x 3/5
multiply 3 x 3 and 2 x 5
9/10
the fraction is already reduced to the final answer is 9/10.
7. Jeff and Stephen go to the mall. The two
boys buy a total of 15 T-shirts. Stephen gets
three less than twice as many T-shirts as Jeff.
a) Write an equation to represent the
information in the second sentence.
b) Write an equation to represent the
information in the third sentence.
c) Solve the linear system by substitution
to find the number of T-shirts each boy
bought.
d) If the T-shirts cost $8.99 each, how
much did each boy spend before taxes?
Answer:
Let j = number of shirts Jeff bought and s = the number of shirts Stephen bought.
a.) s + j = 15
b.) 2j - 3 = s
c.) Plug 2j -3 into the equation from question a.
2j -3 + j = 15
3j -3 = 15
3j = 18
j = 6
2j - 3 = s when j = 6
2(6) - 3 = s
s = 9
Jeff bought 6 shirts; Stephen bought 9 shirts.
d.) Jeff cost = 8.99(6) = $53.94
Stephen cost = 8.99(9) = $80.91
2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees. What is mAngleMHJ? 35° 50° 72.5° 92.5°
Answer:
Step-by-step explanation:
a) sum of angle on the straight line TRW is 180.
Given <TRS = 2x+10
<SRW = x-10
<TRS+<SRW = 180
2x+10+x-10 = 180
3x = 180
x = 180/3
x = 60°
<TRV = 180°-(2x+10)
Substitute x = 60° into the expression
<TRV = 180-(2(60)+10)
<TRV = 180-(120+10)
<TRV = 180-130
<TRV = 50°
2) From the diagram attached <MHJ= <LHK (oppositely directed angle)
Given
<MHJ= x+15
<LHK = 2x-20
Substitute the given data into the formula to get x
x+15= 2x-20
x-2x = -15-20
-x = -35
x = 35°
Next is to get the measure of <MHJ
<MHJ = x+15
<MHJ = 35+15
<MHJ = 50°
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answer:
1072
Step-by-step explanation:
Patricia is mixing lemon juice and water to make lemonade. Her favorite lemonade is
made using a ratio of 2 tablespoons of lemon juice to 12 ounces of water.
Part A: Patricia pours 5 tablespoons of lemon juice into a large pitcher to make her
favorite lemonade. How many ounces of water should she add to the pitcher?
Answer:
30
Step-by-step explanation:
12/2= 6
5 times 6= 30
Step 1: Conjugate the denominator (3+61)
Answer:
3 - 6i
Step-by-step explanation:
The conjugate of a complex number a + bi is a - bi, thus
The conjugate of 3 + 6i is 3 - 6i
if the coefficient of multiple determination is 0.81, what percent of variation is not explained? multiple choice 81% 66% 90% 19%
The answer to the multiple-choice question is 19%. The coefficient of multiple determination, also known as R-squared, measures the proportion of variation in the dependent variable that can be explained by the independent variables in a regression model.
In this case, if the R-squared is 0.81, it means that 81% of the variation in the dependent variable is explained by the independent variables.
To find out what percent of variation is not explained, we subtract the R-squared from 1 (or 100% in percentage terms). This is because the total variation in the dependent variable is either explained by the independent variables (R-squared) or unexplained (1 - R-squared).
So, the percent of variation that is not explained is:
1 - 0.81 = 0.19 or 19%
Therefore, the answer to the multiple-choice question is 19%.
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Which statement is correct?
Answer:
Fresh water is evenly distributed throughout the earth.
Step-by-step explanation:
Freshwater exists on Earth's surface in lakes, rivers, and ice, as well as below the surface as groundwater.
Hope this answer helps you :)
Have a great day
Mark brainliest
"Bacteria in a culture can live for an average of two hours with a standard deviation of 15
minutes. How long can we expect at least 75% of the bacteria to live?"
75% of the bacteria to live for approximately 130.11 minutes
To answer your question, we'll be using the concept of standard deviation and the normal distribution.
Given that the average lifespan of bacteria in a culture is 2 hours (120 minutes) with a standard deviation of 15 minutes, we can expect at least 75% of the bacteria to live for a certain amount of time. Using the normal distribution, we can determine the corresponding z-score for the 75th percentile, which is approximately 0.674.
Now, we can apply the z-score formula:
z = (X - mean) / standard deviation
Rearrange the formula to solve for X (the time at which 75% of the bacteria will live):
X = mean + (z * standard deviation)
Plugging in the given values:
X = 120 + (0.674 * 15) ≈ 130.11 minutes
So, we can expect at least 75% of the bacteria to live for approximately 130.11 minutes.
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Katsu bought 18 pounds of apples for $20.04. What was the price for each pound?
You divide the price he paid for the apples $20.04 by the amount of pound of apples he bought 18 to get the price for each pound of apples, which is 1.1133333333
Two sides of a triangle have the same length.the third side measures 6m less than twice the common length.the perimeter of the triangle is 10m.what are the lengths of all three sides?
Let the two sides be represented by x,
Let the third side be 2x - 6 since it is 6m less than twice the common length.
The perimeter of the triangle is,
\(x+x+2x-6=\text{Perimeter}\)Given that the perimeter of the triangle is 10m, let us solve for x,
\(\begin{gathered} x+x+2x-6=10 \\ 4x-6=10 \\ \text{collect like terms,} \\ 4x=10+6 \\ 4x=16 \end{gathered}\)\(\begin{gathered} x=\frac{16}{4} \\ x=4m \end{gathered}\)Let us now get the length of the three sides of the triangle,
\(\begin{gathered} x=4m\text{ for the first length} \\ x=4m\text{ for the second length} \\ 2x-6=2(4)-6=8-6=2m \\ 2x-6=2m\text{ for the third length} \end{gathered}\)Hence, the length of the three sides are 4m, 4m, and 2m.
Find the value of k and yz if y is between x and z. x y = 3 k − 2 , y z = 7 k 4 , x z = 4 k 38
Considering that y is between x and z, we have that:
The value of k is of k = 6.The length of yz is 46 units.How to find the value of k and of yz?We consider that y is between x and z, hence the length of the segment is given by:
xz = xy + yz
The separate lengths are given as follows:
xz = 4k + 38.xy = 3k - 2.yz = 7k + 4.Hence:
4k + 38 = 3k - 2 + 7k + 4.
4k + 38 = 10k + 2
6k = 36
k = 6.
Hence the length of yz is given by:
yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.
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Which table represents a linear function?
Please hurry I have to finish this soon!
Answer:
C
Step-by-step explanation:
A linear function is the repeating of the same word. Therefore, C would be the correct option. Due to the order 3 9 3 9, this is a linear function. This is just the most logical answer. Please let me know if I am wrong. Sorry if I am :(
15−7×2+2×2×2 pls answer
Answer:
The answer to this question is 9
Step-by-step explanation:
Evaluate the expression
The expression 39 ÷ (2 + 1) - 2 * (4 + 1) has a value of 3 when evaluated
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
39 ÷ (2 + 1) - 2 * (4 + 1)
Evaluate the expressions in the brackets
So, we have the following representation
39 ÷ (2 + 1) - 2 * (4 + 1) = 39 ÷ 3 - 2 * 5
Evaluate the quotients of expressions
So, we have the following representation
39 ÷ (2 + 1) - 2 * (4 + 1) = 13 - 2 * 5
Evaluate the products of expressions
So, we have the following representation
39 ÷ (2 + 1) - 2 * (4 + 1) = 13 - 10
Lastly, we have
39 ÷ (2 + 1) - 2 * (4 + 1) = 3
Hence, the expression has a value of 3
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Please help!!! what’s the answer ? :((
Answer:
B
Step-by-step explanation:
Because there parallel
2wto power of 2 minus 16w=12-48
The factor is (w-2)(w-12) and the solution of the expression is w =2 or 12
How to factorize and find the solution of an algebraic expression?
Given: 2wto power of 2 minus 16w=12w-48.
This expression can be written as 2w² - 16w = 12w-48
2w² - 16w = 12w-48
2w² - 16w-12w = -48
2w² - 28w + 48 = 0
Divide through by 2:
w² - 14w + 24 = 0
w² - 12w-2w + 24 = 0
Factorize:
(w-2)(w-12) = 0
w-2 = 0 or w-12 = 0
w =2 or 12
Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12
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Find the equation of a parabola with a focus at (0,â€"1) and a directrix at y = 4.
The equation of the parabola that has its focus at (0, -2) and directrix at y = 4 is presented as follows;
\(y = 1 - \frac{ x² }{12}\)
What are the relationships that can be used to find the equation of the parabola?The focus of the parabola, obtained from a similar question posted online is (0, -2)
The given directrix is y = 4
From the definition of the directrix, we have;
(x - 0)² + (y - (-2))² = (y - 4)²
Which gives;
x² + (y + 2)² = (y - 4)²
4•y = y² - 8•y + 16 - (x² + y² - 4)
12•y = 12 - x²
y = 1 - x²/12The equation of the parabola is therefore;
\(y = 1 - \frac{ x² }{12}\)
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(a) The perimeter of a rectangular field is 276 m.
If the width of the field is 59 m, what is its length?
Answer:
79m
Step-by-step explanation:
P=276
L= P/2 - W
L= 276/2 - 59 m
L = 79m
You started the trail with 500lbs. of food. You now have 232lbs. of food. What percentage of your starting amount do you have left?
Answer:
46.4%.
hope this helped!
BRAINLIEST
Please answer these
2. A=49 Pi, C=14 Pi 3. A=225 pi, C=30 pi
4. A=104.04, C=20.4 pi 5. A=20.25 pi, C=9 Pi
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!
What is the equation of the line that passes through the point (-4,8) and has a slope of -1?
The equation of the line that passes through the point (-4,8) and has a slope of -1 is y = -x +4
What is the equation of a line?
A line's equation is a unified representation of all of the line's points. Any point on a line will satisfy the equation in its general version, which is of the type ax + by + c = 0. The slope of the line and a point on the line are the two essential elements needed to create the equation of a line.
Here, we have
point (-4,8) and slope = -1
If we have a non-vertical line that passes through any point(x₁, y₁) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
This is the required equation of a line in a point-slope form.
We know that Point-Slope Form:
y - y₁ = m(x- x₁)
Where x₁ - x coordinate and y₁ - y coordinate
m - slope
Point (-4,8)
Then Slope m = -1
Now the equation as;
y - 8 = -1(x+4)
y = -x -4+8
y = -x +4
Hence, the equation of the line that passes through the point (-4,8) and has a slope of -1 is; y = -x+4
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A baby who was 18 inches at birth is now 24 inches by what percentage did the babys height increase
Answer:
≈33.3%
Step-by-step explanation:
First we find the difference of the heights to see what the growth was
24-18 = 6
Then we find what percent 6 is of 18 to see what percentage growth occured
6/18 ≈33.3%