Step-by-step explanation:
x - 1 = - 3x - 14
Bringing like terms on one side
x + 3x = -14 + 1
4x = - 13
x = - 13/4
A coach of a baseball team orders hats for
the players on his team. Each hat costs
$9.95. The shipping charge for the entire
order is $5.00. There is no tax on the order.
The total cost of the coach's order is less
than $125.00. Which inequality can be
used to determine the greatest number of
hats, h, the coach orders?
Answer:
9.95h + 5 ≤ 125
Step-by-step explanation:
let 'h' = number of hats
6ft , 5ft , c. What is the length of the hypotenuse
The length of the hypotenuse of the triangle is √61 ft
How to determine the length of the hypotenuse?From the question, we have the following parameters that can be used in our computation:
Smaller sides = 6ft and 5 ft
Hypotenuse = c
The hypotenuse of a triangle is calculated using the following Pythagoras theorem
Hypotenuse^2 = Opposite^2 + Adjacent^2
Where Opposite and Adjacent are 6 and 5
So, we have
c^2 = 5^2 + 6^2
Evaluate
c^2 = 61
Take the square roots
c = √61
Hence, the hypotenuse is √61 ft
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write the equation of a like for the following problems
In order to find the equation with the specified slope and y-intercept, we can use the slope-intercept form of a linear equation:
\(y=mx+b\)Where m is the slope and b is the y-intercept.
So, using m = -2 and b = 1/2, we have:
\(y=-2x+\frac{1}{2}\)So our equation is y = -2x + 1/2
At a local drive-thru restaurant, 3 out of every 8 drinks sold are diet drinks. If the restaurant sells 4,200 drinks in one month, how many would be diet drinks?
Answer:
1575
Step-by-step explanation:
3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.
What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
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how many humdreds are in 3 thousands ??
Answer: 30
Explanation:
To answer this question we use the following relationship between hundredths and thousands:
1 Thousand = 10 Hundreds
In this case, since we have 3 Thousands, we will have 3 times more Hundredths than when we had 1 Thousand:
3 Thousand = 30 Hundreds
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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If P = (-1,-1), find the imageof P under the following rotation.270° counterclockwise about the origin([?], [ ])Enter the number that belongs inthe green box.
Solution:
Given:
\(P=(-1,-1)\)When rotating a point 270 degrees counterclockwise about the origin, the point (x,y) becomes (y,-x). This means, we switch x and y and make x negative.
Thus, the point P will become;
\(P(-1,-1)\rightarrow P^{\prime}(-1,1)\)Therefore, the image of P will have the coordinates (-1,1)
what is the solution for 15= 1/2 + 3/2x + 10
Answer:
x = 3
Step-by-step explanation:
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Factor the expression 36a-16 to write an equivalent expression in which all coefficients and constants are integer values.
The expression 36a - 16 to write an equivalent expression in which all coefficients and constants are integer values is; 4(9a - 4)
How to factor Algebraic expressions?We are given the expression as; 36a - 16
Now, we want to write an equivalent expression of 36a - 16.
However, according to question, 36 and 16 are both divisible by 4. Thus, we will divide both sides by 4 to get;
36/4 = 9 and 16/4 = 4
Now, factorize the given expression 36a - 16.
Taking 4 as a common factor, we get,
36a - 16 = 4(9a - 4)
Therefore, 4(9a - 4) is the factor to write an equivalent expression 36a - 16.
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Which of these could be the graph of F(x) = 6•(0.4)^x?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
thinking of b
but I'm not sure
The function f(x) is graph B. thus Option B is the correct answer.
What is a function?A function has an input and an output. A function can be one-to-one or onto-one. which simply indicated the relationships between the input and the output.
We have, the graph of y = 6 x (0.4)^x is an exponential function.
The base of the function is 0.4, this means that as x increases, the value of y decreases.
However, the coefficient in front of the exponential term is; 6, that means the function starts off with a relatively high value of y when x is close to 0.
As x increases, the exponential term (0.4)^x decreases , then the overall value of the function to decrease rapidly.
However, the coefficient of 6 tends to slow down the rate of decrease, so the function doesn't drop off as quickly as it would without that coefficient.
Thus, function f(x) = is graph B.
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3 A system of two linear equations is graphed on a coordinate plane. If the system of
equations has infinitely many solutions, which statement must be true?
a. On the graph, there are no points (x, y) that satisfy both equations.
b. On the graph, there is exactly one point (x, y) that satisfies both equations.
c. On the graph, any point (x, y) that satisfies one of the equations cannot satisfy the
other equation.
d.
On the graph, any point (x, y) that satisfies one of the equations must also satisfy
the other equation.
Answer:
d. On the graph, any point (x, y) that satisfies one of the equations must also satisfy the other equation.----------------------
If the system of linear equations has infinitely many solutions, it means the two lines overlap.
In other words, each point of one of the lines also belongs to the second line.
Choices a, b, c give us one or no solutions and therefore not the answer.
Choice d is reflecting the infinitely many solutions and hence is the correct one.
levi had an uber ride of $19.95 if there was a tip of 20% what is the amount of the tip
Levi pays $3.99 for her ride as per the values given in the problem.
What is percentage?A percentage is a value that indicates 100th part of any quantity. A percentage can be converted into a fraction or a decimal by dividing it by 100. In the same manner a fraction being multiplied by 100 becomes percent.
The charge for the uber ride is given as $19.95.
And, the percent value of the tip is 20%.
Now, the amount of tip can be calculated by taking the percent value of the total charge as follows,
20% × Uber charge for ride
⇒ 20% × 19.95
⇒ 20/100 × 19.95
⇒ 3.99
Hence, the required money to be paid by Levi is given as $3.99.
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find two whole numbers that are closest to v42. explain your reasoning
Answer:
The numbers are 6 and 7.
Step-by-step explanation:
4² = 16
5² = 25
6² = 36
7² = 49
√36 = 6
√42 = ?
√49 = 7
The numbers are 6 and 7.
how do you find answer to 9/35 - 1/5?
Answer:
2/35
Step-by-step explanation:
\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)
Solve for y
129 = y + 43
Answer:
86=y
Step-by-step explanation:
129=y+43
-43 -43
86=y
or
y=86
What is one way to evaluate the validity of a website for use in a research paper?
A
Consider its purpose
B
Count the number of images
С
Look at the title
D
Look at polling features
2222222222222222222222222222222222222222222222222222...
Answer:
222,222,222,222,222,222,222,222,222,222
Step-by-step explanation:
Intellegenc.
Simplify. 1/2(12k-6)
Answer:
Step-by-step explanation:
1
2
(
1
2
−
6
)
\frac{1}{2}(12k-6)
21(12k−6)
Simplify
1
Combine multiplied terms into a single fraction
1
2
(
1
2
−
6
)
1
(
1
2
−
6
)
2
2
Multiply by 1
Solution
1
2
−
6
2
1
2
(
1
2
−
6
)
\frac{1}{2}(12k-6)
21(12k−6)
Simplify
1
Combine multiplied terms into a single fraction
1
2
(
1
2
−
6
)
1
(
1
2
−
6
)
2
2
Multiply by 1
Solution
1
2
−
6
2
pls mark brainliest
7x-8y=10 and x-8y=-26 using elimination
x= 6;
y= 4.
Step-by-step explanation:1. Write the equations.\((1)7x-8y=10\\\\ (2)x-8y=-26\\\)
2. Subtract equation 2 from equation 1.\((1)7x-8y=10\\-\\ (2)x-8y=-26\\--------\\\\6x+0y=36\\ \\6x=36\)
3. Solve for x.\(\frac{6x}{6} =\frac{36}{6} \\ \\x=6\)
4. Use the calculated value of "x" in any of the equation to the value of "y".For this solution, we are going to use equation 2 to get the value of "y".
\((6)-8y=-26\\\\-8y=-26-6\\ \\-8y=-32\\ \\\frac{-8y}{-8} =\frac{-32}{-8} \\ \\y=4\)
5. Verify.If the answers are correct, both equations should return the same value in both sides of the equal (=) sign.
\(7(6)-8(4)=10\\ \\42-32=10\\ \\10=10\)
That's correct.
\((6)-8(4)=-26\\ \\6-32=-26\\ \\-26=-26\)
That's correct.
Hence, the answers are correct.
The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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Tina has volunteered at the pet shelter 4 more times than Kai. Tina has volunteered 16
times Which equation represents this situation?
A. 16+k-4
B. 16k-4
C. K+4=16
D. 4K=16
The correct answer is option C: \(\(k + 4 = 16\).\) This linear equation represents the relationship between Tina and Kai's volunteer times.
To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:
\(\[Tina = Kai + 4\]\)
In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.
Substituting the given values, we have:
\(\[16 = k + 4\]\)
This equation represents the fact that Tina has volunteered \(16\) times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.
Simplifying the equation:
\(\[k + 4 = 16\]\)
This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: \(\(k + 4 = 16\).\)
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15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180
Answer:
144
Step-by-step explanation:
Write a equation(or whatever it is called)
6/10=x/240Cross multiply, 1440=10xDivide, 144=xCheck your work:
6/10=144/240Cross multiply, 1440=1440The graph below represents results of a survey in which students stated the numberof minutes they'd spent watching TV the previous day.
Explanation:
First, we need to find what is the total number of values in the data. So, taking into account the height of the bars, we can calculate the size of the data as follows:
6 + 2 + 3 + 5 + 4 + 4 = 24
Where each number in the sum is the height of each bar.
Then, the position of the median can be calculated using the following equation:
\(\frac{n+1}{2}=\frac{24+1}{2}=\frac{25}{2}=12.5\)Where n is the size of the data.
Finally, the value in position 12.5 is in the interval 90 - 119
Because, there are 6 values in 0- 29, there are
Please answer these 2 word problems for BRAINLIEST AND IF CORRECT I WILL GIVE EXTRA POINTS
Answer:
150
Step-by-step explanation:
HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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The graph represents a quadratic function. Write an equation of the function in standard form.
A quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.
Given that, the graph is passing through (2, 0), (10, 0) and (6, -4).
What is a quadratic function in standard form?The standard form of a quadratic equation is given as:
ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.
Now, the equation passes through (2, 0)
y = ax² + bx + c
0 = 4a + 2b + c ----------------(1)
The equation passes through (6, -4)
y = ax² + bx + c
-4= 36a + 6b + c ----------------(2)
The equation passes through (10, 0)
y = ax² + bx + c
0 = 100a + 10b + c ----------------(3)
Using the Gauss elimination method to solve the system of equations we get,
a = 1/4, b = -3, and c = 5
The quadratic equation will be:
y = ax² + bx + c
y = (1/4) x² - 3x + 5
Therefore, a quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.
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yall- what is a radius?
Answer:
a straight line from the centre to the circumference of a circle or sphere.
OR
half of a diameter
Answer:
A radius is a straight line from the center of a circle to the circumference of a circle. If you have two or more of them, they are referred to as radii. All radii in a circle will be the same length. If you put two radii together, edge to edge, going through the center of a circle, you would get a diameter.
Step-by-step explanation:
find the estimate and the exat case of the the following 23 books at $263. 64 each
Answer:
Estimate: $5,000.00
Actual: $6,063.72
Step-by-step explanation:
I would estimate by finding 20 x 250
I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.
Helping in the name of Jesus.