Answer: 30 increments
Step-by-step explanation: 150 divided by 5 is equal to 30. If she is buying in 5 foot increments she will need 30 five foot increments to have enough.
There are 268 lockers at Kortright Hills which are numbered from 1 to 268. All the locker doors are shut. On the first day of school, imagine that there are 268 students waiting out.
• The first student goes in and opens all the locker doors.
The second student goes in and closes every other locker door, starting with locker 2.
The third student goes in and changes every third locker, starting with locker 3 (If the do
open, it is closed. If the door is closed, it is opened.
The fourth students goes in and changes every fourth locker, starting with locker 4.
· This continues for all 268 students.
After all 268 students have entered the school, which locker doors will be open?
Answer:
289 student for the party them one mother say where you went that their mother where you want a brother se usse lion and the world I say diesel OK will die and back
What values of x and y satisfy the system of equations
{8x+9y=−3
{6x+7y=1
Answer:
• Let's first assign identifications to the equations given:
[tex]{ \rm{8x + 9y = {}^{ - }3 \: - - - \{equation \: (a) \} }} \\ { \rm{6x + 7y = 1 - - - \{equation \: (b) \}}} \\ [/tex]
• There are various methods to solve this system of equation, namely;
Graphical methodSubstitution methodElimination methodCalculus (Calculator synthetic method)1. Graphical method
→ You'll have to draw a graph, demacate it very well following the suitable scale.
→ Get values to plot from both equation (a) and equation (b).
→ Draw respective lines of each equation. The point of intersection of the lines is the answer of the values of x and y.
→ It'll be in coordinate format i.e; (x, y)
2. Substitution method
→ Lemme first consider equation (a)
[tex]{ \rm{8x + 9y = {}^{ - }3 }}[/tex]
• make x the subject of the equation (a):
[tex]{ \rm{8x = - 3 - 9y}} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8}y }} \: { \rm{- - - \{equation \: (c)}} \}[/tex]
→ Considering equation (b) next
[tex]{ \rm{6x + 7y = 1}}[/tex]
• substitute x in equation (b) with x in equation (c)
[tex]{ \rm{6( \frac{ - 3}{8} - \frac{9}{8}y ) + 7y = 1 }} \\ \\ { \rm{ - \frac{9}{4} - \frac{27}{4} y + 7y = 1}} \\ \\ { \rm{ \frac{1}{4} y = \frac{13}{4} }} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]
• then find x using equation (c)
[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y }} \\ \\ { \rm{x = \frac{ - 3}{8} - \frac{9}{8} (13)}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]
3. Elimination method:
→ Here, we have to align the equations so that if we use addition or subtraction operations we remain with one term giving us zero [ eliminated ]
→ Multiply equation (a) by 6 and multiply equation (b) by 8. In order to eliminate x
→ Then we subtract equation (a) with equation (b)
[tex]{ \underline{ \rm{ - \binom{6(8x + 9y = - 3)}{8(6x + 7y = 1)} }}} \\ { \rm{ 0x \: - 2y = - 26 }} \\ \\ { \rm{ - 2y = - 26}} \\ \\ { \underline{ \rm{ \: \: y = 13 \: \: }}}[/tex]
• find x using equation (c)
[tex]{ \rm{x = \frac{ - 3}{8} - \frac{9}{8} y}} \\ \\ { \underline{ \rm{ \: \: x = - 15 \: \: }}}[/tex]
4. Calculator synthetic method:
→ To use this method, you must have a scientific calculator.
→ If you have it, follow the steps below;
Go to mode (press it 3 times until you see "EQN" )Press 1 or any number below the "EQN". It'll display "Unknowns" with 2 and 3 below it. 2 → Two equations system. 3 → 3 equations system.According to our question, it is a two equations system, press 2It'll display a, b and c [ a is the coefficient of x, b is the coefficient of y, c is the constant]For a1 press 8 then press "equal sign", b1 press 9, then equal sign, c1 press -3 then equal sign.Follow the same procedure for a2, b2 and c2Automatically, It will display the answersAnswer: x = -15, y = 13
Can someone please help
Answer:
63
Step-by-step explanation:
A median bisects the side that it is drawn to, so
DM = ME4x - 10 = 3x + 5x - 10 = 5x = 15So, FN = 4(15) + 3 = 63.
Once again, since a median bisects the side it is drawn to, NE = 63.
needs the answers quick please
let the interior angles of the given triangle be angle a b c respectively.
116+a=180 (Sum of angles on a straight line.)
a=180-116
a=64
.......
112+b=180(Sum of angles on a straight line.)
Sum of angles on a straight line.)b=180-112
b=68
....
angle a +b+c=180 (Sum of angles of a triangle)
64+68+c=180
c=180-132
c=48
.,....
angle c +X =180(Sum of angles on a straight line.)
48+X=180
X=132
Therefore the value of X is 132.
2.
solution,
Let the remaining interior angle of the given triangle be y.
Then,
y+108=180(Sum of angles on a straight line.)
y=72
Again,
2x+X+y=180(Sum of angles of a triangle)
3x+72=180
3x=108
X=108÷3
X=36
Therefore the value of X is 36.
3.
solution,
let the remaining interior angle of the given polygon be a and b .
Then,
100+b=180(Sum of angles on a straight line.)
b=80
......
Again,
a+b+110+90=360(Sum of interior angle of the polygon)
a+80+200=360
a+280=360
a=80
.....
a+X=180(Sum of angles on a straight line.)
80+X=180
X=100
Therefore the value of X is 100.
4.
solution,
The given triangle is an isosceles triangle.So their base angles are equal .
43+43+X=180(Sum of angles of a triangle)
X=180-86
X=94
Therefore the value of X is 94.
5.
solution,
Opposite angles of a parallelogram is equal
So ,
X=125
Therefore the value of X is 125.
6.
solution,
Let the remaining interior angle of the triangle be a .
Then,
a+117=180 (Sum of angles on a straight line.)
a=63
Now,
a+X+83=180(Sum of angles of a triangle)
63+83+X=180
146+X=180
X=34
Therefore ,the value of X is 34.
Plz mark me brainest .Thank you .(ILL MARK BRAINLIEST)+ SHOW WORK PLS Jacob bought 12 chicken wings for $18. Fill out a table of equivalent ratios and plot
the points on the coordinate axes provided.
Find which is the better buy (lower
cost per ounce) by finding each unit
price. Round to two decimal places if
necessary
Shampoo:
A. $7.99 for 29.2oz
B. $5.99 for 13.5oz
Answer:
B
Step-by-step explanation:
1) Divide the oz per shampoo bottle by the cost
2) which answer is lower
29.2÷7.99=3.65
13.5÷5.99=2.25
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answer:
11.2 mi
Step-by-step explanation:
1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.
[tex]9^2 + b^2 = 14.4^2[/tex]2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](9*9)+b^2 = 14.4 * 14.14[/tex] [tex]81 + b^2 = 207.36[/tex] [tex]b^2 + 81 = 207.36[/tex]Step 2: Subtract 81 from both sides.
[tex]b^2 + 81 - 81 = 207.36-81[/tex] [tex]b^2 = 126.36[/tex]Step 3: Take the square root of both sides and round to the nearest tenth.
[tex]\sqrt{b^2} = \sqrt{126.36}[/tex] [tex]b = \sqrt{126.36}[/tex] b ≈ 11.2Therefore, x = 11.2 mi.
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (14,4)² - (9)²
x² = 207,36 - 81
x² = 126,36
x = 11,2mi✔
Lucy earns 1525.00 a week. She sets aside 15% of this for savings. how does she save in a year?
Pls what's the answer :)
Answer:
11,895 is what she would save in a year
In a quadratic function, the axis of symmetry and the vertex
value.
share the same x-
O Always
O Sometimes
O Never
please help it’s for geometry
assume lines p and q intersect to form adjacent angles 1 and 2.
if m<1 = (4x-3) and m<2 = (3x+8). find the value of x such that <1 is supplementary to <2
Answer:
x=25
Step-by-step explanation:
they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.
Answer:
Step-by-step explanation:
Factorise
x2 - 8x + 15
Answer:
[tex] {x}^{2} - 8x + 15 \\ (x - 5)(x - 3)[/tex]
I hope I helped you^_^
Answer:
(x-5) (x-3)
Step-by-step explanation:
At first find two numbers, that if you multiply, you get +15x², and the same number, if you do addition, get -8x
Those numbers are: -5x and -3x.
Now replace the -8x with the -5x and -3x. (x² - 5x - 3x + 15)
Now factorise as normal. You should get (x-5) and (x-3)
Hope I helped!
Find the equation of the quadratic function given the vertex and a point on the parabola.
v= (3,0), p=(1,4)
Answer:
y = x² - 6x + 9
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (3, 0 ) , then
y = a(x - 3)² + 0
To find a substitute (1, 4) into the equation
4 = a(1 - 3)² = a(- 2)² = 4a ( divide both sides by 4 )
1 = a
y = (x - 3)² = x² - 6x + 9
What is the zero of the function
Answer:
A. -5
Step-by-step explanation:
A zero is the same as the x-intercept, or the point that intersects the x-axis
Hi can someone answer this.
Answer:
hello again
Step-by-step explanation:
i think so,
hope it helped
What is the sum to (-2)(3)
Hello there!
-6 is the answer.
If we multiply a negative number times a positive number, we will get a positive number.
Hope this helps!
[tex]GraceRosalia[/tex] is here to help
Please help me in solving for x and y
for vertical angles they're equal to each other.
thus,
(7x + 30)° = (11x - 24) °
54 = 4x
x = 13.5°
and
(17y - 4) ° = (5y + 38) °
12y = 42
y = 3.5°
The exterior angles of a pentagon are 115° , 2x° , 3x°, x° and x° . Calculate the value of x.
Sum of the exterior angles of a pentagon = 360
⇒ 115 + 2x + 3x + x + x = 360
[simplify the x terms and subtract 115 from both sides]
7x = 360 - 115 [divide both sides by 7]
x = 35A local maximum of the function f(x) occurs for which x-value?
Answer:
-4
Step-by-step explanation:
the highest f(x) value on the table is at -4 on the x column
13 b pls help........
Answer:
300 cm
Step-by-step explanation:
Multiply 6cm by 50
Sarah has $30 and needs to buy some Halloween candy. Each bag of candy costs $5. the amount of money sarah has after purchasing x number of bags of candy can be represented by the function f(x)=30-5x. find the x intercept and the y intercept
Answer:
x means 10 sooooo
Step-by-step explanation:
hope it helps
a remote control car costs $60. it is reduced to $45 in the sale. by what percentage was the price reduced
Answer:
25%
Step-by-step explanation:
Answer:
27%
Step-by-step explanation:
It was reduced by 27% because you get the 60 as 100% and 45 as 75% and you’ll get your answer.
What is 3n^2 + 12n - 11 = 0
Answer:
n= plus or minus (+-) square root 69/ 3 -2
Step-by-step explanation:
Answer:
n = -2[+/-] (2 [tex]\sqrt{69}[/tex])/3
Step-by-step explanation:
in other words, the answer is
n=0.768875
and
n = -4.76887
Determine the range of the following graph:
Answer:
The range of x is -5 to +3
Step-by-step explanation:
Answer:
range means the value the x produces.
The range is -8 to zero.
Happy Learning
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
length: ft
Х
5 ?
width:
ft
Let width be x
length=4xATQ
[tex]\\ \sf\longmapsto 2(x+4x)=70[/tex]
[tex]\\ \sf\longmapsto 5x=35[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
Width=7ftLength=7(4)=28ftStep-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft,
let the width =x
length =4width=4x
According to the question,
the perimeter of the rectangle is 70 ft
2(length+width)=perimeter 2(4x+x)=702(5x)=7010x=70x=70/10x=7Therefore:-
width =x=7ft
length =4x=4×7=28ft
Find the value of x? LESSON Measuring Angles and Arcs Explain your reason
Answer:
50
Step-by-step explanation:
Sum of angles in a circle is 360,
145 + 165 + x = 360
310 + x = 360
x = 360 - 310
x = 50
Help me pretty please :(
Answer:
[tex]\frac{11\pi }{3}[/tex] ≈
11.519173063
Step-by-step explanation:
3[tex]\pi[/tex] + [tex]\frac{2\pi }{3}[/tex]
To add or subtract expressions, expand them to make their denominators the same. Multiply 3[tex]\pi[/tex] times [tex]\frac{3}{3}[/tex].
[tex]\frac{3 x 3\pi }{3}[/tex] + [tex]\frac{2\pi }{3}[/tex]
Since [tex]\frac{3x3\pi }{y3}[/tex] and [tex]\frac{2\pi }{3}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{3 x 3\pi + 2\pi }{3}[/tex]
Do the multiplications in 3×3π +2π.
[tex]\frac{9\pi + 2\pi }{3}[/tex]
Combine like terms in 9π+2π.
[tex]\frac{11\pi }{3}[/tex]
Fill in all the missing measures. Show your work.
Answer:
B= 180-63
= 117°
E= 117°
Alternating angles are equal
What is the domain of 3x^2-x-2
Answer:
All real numbers
Step-by-step explanation:
There is no real number that makes the expression undefined, therefore the domain would be all real numbers.
Two cyclists start from 98 miles apart and begin racing toward each other. Three hours later, they have not yet met and the distance between them is 2 miles. How fast is each of them biking if one bikes 3 mph slower than the other?
Answer:
18 and 21
Step-by-step explanation:
for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines. Write an absolute value equation that represents the minimum and maximum lengths
Answer:
lx-24l ≤ 8
Step-by-step explanation:
lx-24l ≤ 8
x ≤ 8 + 24
x ≤ 32
-----------------
-x + 24 ≤ 8
24 - 8 ≤ x
16 ≤ x
The absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.
For example, |5| is 5 because it is 5 units away from 0. Also, |-5| is also 5 because -5 is 5 units from 0.
We have been given that for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines.
To determine the absolute value equation that represents the minimum and maximum lengths.
First, we need to find the difference between both solutions.
⇒ 32 - 16 = 16
Then, divide it by 2.
⇒ 16/2 = 8
⇒ 8 = |x - 32 + 8|
we could also write: 8 = |x - 32 + 8|
⇒ 8 = |x - 24|
Therefore, the absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.
Learn more about the absolute value here:
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