The question that says " a school has 1200 pupils "
At a point on the ground 24ft from the base of a tree, the distance to the top of the tree is 4ft more than 3times the height of the tree. find the height of the tree.
Which amount is the best estimate for the cost of the vehicle to drive through the safari in 2009?
Without graphing, find the slope of each line described below.
A) A line that goes through the points (4,1) and (2,5)
B) A line that goes through the origin and the point (10,5)
C) A vertical line that goes through the point (6,-5)
D) A line that goes through the points (1,6) and (10,6)
A) The slope of line that goes through the points (4, 1) and (2, 5) is -2.
B) The slope of line that goes through the origin and the point (10, 5) is
1 / 2.
C) Vertical lines has undefined slope.
D) The slope of line that goes through the points (1, 6) and (10, 6) is 0.
What is Slope?
Slope is defined as the steepness of the line.
Since, Slope of line passes through points (x₁ , x₂) and (y₁ , y₂) is;
m = (y₂ - y₁) / (x₂ - x₁)
Now,
A) The slope of line that goes through the points (4, 1) and (2, 5) is;
m = 5 - 1 / 2 - 4
m = 4 / -2
m = - 2
B) The slope of line that goes through the (0, 0) and the point (10, 5) is;
m = 5 - 0 / 10 - 0
m = 5 / 10
m = 1 / 2
C) A vertical line that goes through the point (6,-5) has undefined slope.
Because the horizontal change is 0 and we cannot divide a number by 0.
D) The slope of line that goes through the points (1, 6) and (10, 6) is;
m = 6 - 6 / 10 - 1
m = 0 / 9
m = 0
Thus,
A) The slope of line that goes through the points (4, 1) and (2, 5) is -2.
B) The slope of line that goes through the origin and the point (10, 5) is
1 / 2.
C) Vertical lines has undefined slope.
D) The slope of line that goes through the points (1, 6) and (10, 6) is 0.
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Anyone wanna help me please?!
Allen has a photo that is 6 in by 8 in. What will the dimensions of the photo be if he scales it down by a factor of one-half ?
3 in by 4 in
6 in by 8 in
12 in by 16 in
1.5 in by 2 in
PLEASE HELP QUICK!!!!!
WILL GIVE BRAINIEST TO FIRST ANSWER
Solve the inequality below for t.
9 - 7t > -9 - 4t
A. t is greater than or equal to 0
B. t is less than or equal to 0
C. t is grater than or equal to 6
D. t is less than or equal to 6
Find the value of y for a given value of x, if y varies directly with x. If y = –96 when x = 32, what is y when x = 58?
Which ordered pair (a,b) is a solution to the given system of linear equations.
Answer:
A. (-13,-3)
Step-by-step explanation:
Solve the system of two equations:
[tex]\left\{\begin{array}{l}-2a+3b=14\\a-4b=3\end{array}\right.[/tex]
From the second equation:
[tex]a=3+4b[/tex]
Substitute it into the first equation:
[tex]-2(3+4b)+3b=14\\ \\-6-8b+3b=14\\ \\-8b+3b=14+6\\ \\-5b=20\\ \\5b=-20\\ \\b=-4[/tex]
So,
[tex]a=3+4b=3+4\cdot (-4)=3-16=-13[/tex]
The solution is (-13,-4)
Answer:
A
Step-by-step explanation:
Can someone help me with this please? And can you explain why that answer is right
Carla bought a shirt for $14 and a jacket for $69. She gave the cashier $100.
How much change should Carla get back?
By graphing the system of constraints find the values of x and y that maximize the objective function, find the maximum value.
3x+y<=7
x+2y<=9
x>=0
y>=0
Maximum for P=2x+y
A. P=3
B. P=4
C. P=6
D. P=10
Answer:
x=1, y=4
P=6
Step-by-step explanation:
We are given that
[tex]3x+y\leq 7[/tex]
[tex]x+2y\leq 9[/tex]
[tex]x\geq 0[/tex]
[tex]y\geq 0[/tex]
Objective function
[tex]P=2x+y[/tex]
We have to values of x and y that maximize the P and maximum value of P .
First we change inequality equation into equality equation
[tex]3x+y=7[/tex] (I equation )
[tex]x+2y=9[/tex] (II equation)
Equation I multiply by 2 and then subtract from II equation
[tex]-5x=-5[/tex]
[tex]x=1[/tex]
Substitute x=1 in equation I
Then, we get
[tex]3(1)+y=7[/tex]
[tex]3+y=7[/tex]
[tex]y=7-3=4[/tex]
The two equation intersect at point (1,4).
Substitute x=0 in equation I
Then , we get y=7
Substitute y=0 then
[tex]3x=7[/tex]
[tex]x=\frac{7}{3}=2.3[/tex]
The equation I cut the x- axis at point (2.3,0)and y-axis at (0,7).
Substitute x=0 in equtaion II
[tex]2y=9[/tex]
[tex]y=\frac{9}{2}=4.5[/tex]
Substitute y=0
Then, we get
[tex]x=9[/tex]
Therefore, the equation II cut the x- axis at point (9,0) and y axis at point (0,4.5).
Substitute x=0 and y=0 in inequality Equation I
[tex]3(0)+0=0< 7[/tex]
It is true . Therefore, shaded region below the line.
Substitute x=0 and y=0 in inequality equation II
Then, [tex]0+2(0)=0 < 9[/tex]
It is true. Therefore, the shaded region below the line.
The feasible region is bounded.The feasible region bounded by (0,0),(0,4.5),(2.3,0) and (1,4).
At (0,4.5)
[tex]P=2(0)+4.5=4.5[/tex]
At (2.3,0)
[tex]P=2(2.3)+0=4.6[/tex]
At (1,4)
[tex]P=2(1)+4=6[/tex]
At (0,0)
[tex]P=2(0)+0=0[/tex]
Hence, maximum value of P is 6 at (1,4).
x=1 and y=4
HELP PLZ!!
Solve for x: −3(x + 3) = −3(x + 1) − 5. (1 point)
6
−6
All real numbers
No solution
Two parallel lines are crossed by a transversal. What is the value of g? g = 75 g = 80 g = 100 g = 105
The angle measure of g is ∠g = 105°.
The correct option is D.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
As per the information provided, it is given that the two parallel lines u and v are traversed by line g.
To find the angle measure of ∠g:
The angle measure of ∠g is equal to 105° by the alternate exterior angle theorem.
Therefore, ∠g = 105°.
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The complete question:
Two parallel lines are crossed by a transversal. What is the value of g? g = 75 g = 80 g = 100 g = 105
What is the measure of an exterior angle in a regular dodecagon?
Write an equation of the line that passes through the points (−3,12) and (0,6)
An equation of the line is y=
Compute the mean, variance, and standard deviation for the following data set. Round all answers to the nearest tenth. {85,95,90,70,75,95,85,85,95,90,70,75}
Graph f(x)=−0.25x+4.
Answer:
Point, (0,4) and (-4,5), just took the test
3m + 7/2 = −2m + 5/2 the / means there fractions
3m +7/2 = -2m +5/2
subtract 5/2 from each side
3m +2/2 = -2m
2/2 = 1
3m+1 =-2m
subtract 3m from each side
1=-5m
divide both sides by -5
m = 1/-5 = -1/5
m = -1/5
BRAINLIEST!
Henry's rocket is designed to launch to a height of 100 feet in the air. The measurements so far have the launch height (h) varying no more than 4 feet. Which inequality below represents this scenario?
|h − 4| less than or equal to 100
|h + 4| greater than or equal to 100
|h − 100| less than or equal to 4
|h + 100| greater than or equal to 4
Answer:
|h − 100| less than or equal to 4
Step-by-step explanation:
We know the difference between h, the actual height, and the designed height, 100, is no more than 4.
This means that the actual height h could be up to 4 more than the designed height or up to 4 less than the designed height. This is why we use an absolute value inequality; this considers just the distance of 4 regardless of direction.
Since it can be "no more than" 4, we use less than or equal to; this gives us
|h − 100| less than or equal to 4
Francis has five more dollars than Julia. Together they have at most $45. Let x represent the amount of money Francis has. Which inequality can be used to find the possible amounts of money that Francis has?
Answer:
B) 2x - 5 ≤ 45
Step-by-step explanation:
Help me please its math under 10 minutes!!!
Sheila is building a model for class. It's a tower that's designed to withstand high winds. She can use a maximum of 700 support beams and knows that each floor will require 22 beams. Sheila will track the number of beams that remain as she adds floors.
She can predict the number of beams that remain by using this function: remaining beams (y) is function of floor number (x).
How many beams will remain after she built 6 floors? Y=700-22(x)
If a parent function is y=2x which is the function of the graph
if the line is on the positive side then your answer is "y=2^x+1 +2"
if the line is on the negative side your answer is "y=2^x-1 +2"
Positive always goes with positive
The slope of the line below is –. Write a point-slope equation of the line using the coordinates of the labeled point.
A. y + 4 = 8/7 –(x + 4)
B. y – 4 = 8/7–(x – 4)
C. y – 4 = 8/7(x – 4)
D. y + 4 = 8/7(x + 4)
Suppose the weights of farmer carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. suppose carl bags his potatoes in randomly selected groups of 6. what percentage of these bags should have a mean potato weight between 7.5 and 8.5 ounces?
what is 230000 in standard form
Final answer:
To write 230,000 in standard form, place the decimal point after the first non-zero digit. For 230,000, the standard form is 2.3 x 10⁵.
Explanation:
To express the number 230,000 in standard form, you simply write it as it is, moving the decimal point to the right until only one non-zero digit appears before the decimal. In this case, 230,000 in standard form is 2.3 x 10⁵.
Arthur is treating his friends to a meal at Chez Rich. The meals added up to $152.30. If he tips the waiter 15%, what is the amount of the tip.
a. $20.80
b. $15.24
c. $22.85
d. $13.37
Answer:
Option C. $22.85
Step-by-step explanation:
Arthur is treating his friends to a meal at Chez Rich.
The meals added up to = $152.30
He tips the waiter = 15% of the bill
The amount of the tip = 15% × 152.30
= 0.15 × 152.30
= 22.845 ≈ $22.85
The amount of the tip would be $22.85.
Option C. $22.85
Solve for x. 5x−2(x+1)=1/4
A Chef buys 9 cucumbers, 18 peppers and 21 tomatos at the farmers market. Cucumbers ae 6 for $2, pEPPERS ARE 12 for $9 and tomatoes are 6 for $4
The greatest common factor of 4a(2) b and 6ab(3)
The greatest common factor of the expressions 4a^2b and 6ab^3 is 2ab.
The question seeks to determine the greatest common factor of the expressions 4a2b and 6ab3. To find this, one must look at the common factors of the numerical coefficients (4 and 6) and the variables raised to their respective powers (a2 and a, b and b3). The numerical common factor of 4 and 6 is 2. The lowest power of 'a' common to both terms is a1 and for 'b' is b1. On doing this we get 2ab.