Pages Minutes
15 1
45 3
75 5
300 20
600 40
15 x 2= 39
45x 2= 90
75x2=150
30x20=60
600 x 2 = 1,200
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
05(4 + 4) - 6
O 5(5(4)-6) - 6
O 54 – 6 + 54 - 6
o 5(4) - 6 + 5(4) - 6
k(x)=5x-6
k(4)=5(4)-6
(k+k)(4)=k(4)+k(4)
=5(4)-6+5(4)-6
I think.
7x^2/2x+6 divided by 3x-5/x+3
Answer:
[tex]\large\boxed{\dfrac{7x^2}{6x-10}}[/tex]
Step-by-step explanation:
[tex]\dfrac{7x^2}{2x+6}\div\dfrac{3x-5}{x+3}=\dfrac{7x^2}{2(x+3)}\cdot\dfrac{x+3}{3x-5}\\\\\text{cancel}\ (x+3)\\\\=\dfrac{7x^2}{2}\cdot\dfrac{1}{3x-5}=\dfrac{(7x^2)(1)}{(2)(3x-5)}\\\\\text{use the distributive property}\ a(b-c)=ab-ac\\\\=\dfrac{7x^2}{6x-10}[/tex]
The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. Find the two numbers.
PLZZZZZ I NEED LE HELP FROM LE FELLOW STUDENTS!!!
Answer:
The numbers are 44 and 46
Step-by-step explanation:
Let
x, x+2 ----> the two consecutive positive even integers
we know that
[tex](x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0[/tex]
Solve the quadratic equation using a graphing calculator
The solution is x=44
see the attached figure
x+2=44+2=46
therefore
The numbers are 44 and 46
A farmstand sells two types of grapes. the cost of green grapes can be represented by the equation Y= 1.5X, where Y is the total cost for X pounds. the graph represents the cost of black grapes which statement must be true?
A. Three pounds of green grapes cost $6.00.
B. Black grapes cost less per pound than green grapes l.
C. Black grapes cost more per pound than green grapes.
D. Two pounds of black grapes cost $3.00.
PLEASEEEE HELP
Answer:
C. Black grapes cost more per pound than green grapes.
Step-by-step explanation:
Verify each statement
A. Three pounds of green grapes cost $6.00
The statement is False
Because
For x=3 pounds
y=1.5x
y=1.5(3)=$4.5
B. Black grapes cost less per pound than green grapes
The statement is False
Because
For x=1 pound
The green grapes cost ----> y=1.5(1)=$1.5
Observing the graph
For x=1 pound
The black grapes cost $2
C. Black grapes cost more per pound than green grapes.
The statement is True
D. Two pounds of black grapes cost $3.00.
The statement is False
Because
Observing the graph
Two pounds of black grapes cost $4
An equation is formed of two equal expressions. The third statement is true.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) The cost of a pound of green grapes is,
Y = 1.5X = 1.5×3 = 4.5
Hence, the first statement is false.
B.) The cost of a pound of green grapes is $1.5, while the cost of a pound of black grapes is $2. Thus, the second statement is false.
C.) The cost of a pound of green grapes is $1.5, while the cost of a pound of black grapes is $2. Thus, the third statement is true.
D.) As per the graph, the cost of 2 pounds of grapes is $4. Thus, the fourth statement is wrong.
Hence, the third statement is true.
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What is the constant of vanation,
of the line y = for through (3.18) and (5,30)?
the constant of variation or namely its slope will be
[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6[/tex]
In the garden, the ratio of roses to daisies is 1:3. There are 8 roses. How many daisies are there.
Answer:
24
Step-by-step explanation:
8*3= 24
if you use this ratio and simplify the new ratio (8:24), you get the original ratio of 1:3
Answer:
24Step-by-step explanation:
[tex]\text{We have the ratio}\\\\roses\ to\ dailes=\dfrac{roses}{dailes}\to1:3=\dfrac{1}{3}\\\\\text{We have}\ 8\ roses.\ \text{Substitute:}\\\\\dfrac{8}{dailes}=\dfrac{1}{3}\qquad\text{cross multiply}\\\\dailes=(3)(8)\\\\dailes=24[/tex]
A car traveled 125 miles in 2.5 hours. If the car continues at the same rate, how far ahead it traveled after three hours?
a device is rated at 1,100 watts.what current is required if it is operated at 110 volts?
1 ) Watts =E * I = 110 * 5 = 550 watts =.55 KW
2) I = Watts / e = 1100 / 110 = 10 amperes
3) 1 horsepower = 33000 ft/lbs per minute
HP = ( 2000 * 1000) / (33000 *4) = 15.1515 hp
4) cost = (10 * 100 / 1000) *11 * $0.10 = $1.10
5) This answer will be incorrect because you have not stated the power factor of the motor.
va = I * E = 7.5 * 240 = 1800
2 hp = 2 * 746 watts = 1492 watts
If the motor had a 1.0 power factor (it doesn't) the efficiency would be
efficiency = output / input = 1492 / 1800 = 82.888 %
6) I = watts / E =1000 / 120 = 8.333 amps
7) 1 = watts / E = 1000 / 240 = 4.1616
8) Kw-hr = (2 * 24 * 365 ) / 1000 = 17.52
cost = kw-hr * $0.03 = 17.52 * $0.03 = $0.5256
9) efficiency = (115 * 240) / (2400 * 12) = 95.8333 %
10) KW = (I^2 * R) / 1000 = (20^2 * 5) / 1000 = 2
the current required is 10 amperes.
To calculate the current required for a device rated at 1,100 watts operating at 110 volts, we use the formula P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.
Rearranging the formula to solve for current, we get I = P / V. Plugging in the given values, we have:
I = 1,100 W / 110 V
Thus, the current required is 10 amperes.
What is
m∠HLG
?
Enter your answer in the box.
Answer:
18°
P.S. Put as brainiest!
Two
coins
are
flipped
to
decide
who
has
to
do
the
chores.
If
two
heads
are
flipped,
Matt
has
to
do
the
chores.
If
two
tails
are
flipped,
Mark
has
to
do
the
chores.
If
neither
of
these
results
is
met,
they
flip
both
coins
again.
a. How
many
different
outcomes
are
there
after
flipping
both
coins?
b. What
is
the
probability
that
Matt
has
to
do
chores?
c. What
is
the
probability
that
Mark
has
to
do
chores?
d. Is
the
method
of
decision
fair?
e. What
is
the
likelihood
that
they
must flip again?
Answer:
Step-by-step explanation:
If you flip coins, you can get,
HT TH HH TT
There are 4 possible outcomes.
Out of these 4, Matt has to do chores if two heads are flipped. It is 1/4 chance.
Out of these 4, Mark has to do chores if two tails are flipped. Again, 1/4 chance.
The method of decision is far since both guys have the same chance of being picked to do chores.
To flip again, they would have to get either HT or TH out of the 4 choices. So 2/4=1/2 is the likeihood they must flip again.
PLEASE HELP ASAP i will give brainliest!!
Write an inequality to represent the real-world problem. Then complete the statements. Jasmine’s computer cost more than $300.
The variable in the inequality represents _______
The inequality symbol needed is ________
The constant is _______
The inequality that correctly represents the problem is ______
Answer:
1. the cost of the computer (c)
2. > (greater than)
3. how much ($300)
4. c > 300
The variable in the inequality represents the cost of the computer.
The inequality symbol needed is > (greater than)
The constant is how much ($300)
The inequality that correctly represents the problem is cost of the computer > 300
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
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What is the answer to this? I need your help!! 10 points
Answer: 6 units
Step-by-step explanation:
Area = 1/2 (base1 + base2) X height <-------- Formula for a trapezoid
24 = 1/2 (2 + 6) X h <----- We know that the area of the trapezoid is 24 units
squared and that both of the bases are 2 units and 6 units.
24 = 1/2 (8) X h <------- Add 6 + 2
24 = 4 X h <----- Half of 8 is 4
h = 6 <------ 6 X 4 = 24 , therefore the height is 6 units.
Hope this helps!
Which angles are vertical angles and, therefore, congruent?
a d
a g
a e
a f
Answer:
a and f
Step-by-step explanation:
Vertical angles are directly opposite each other, created by two lines intersecting.
∠A and ∠F are congruent to each other because they are vertically opposite angles. Then the correct option is D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
∠A and ∠F, ∠B and ∠E, ∠C and ∠H, and ∠D and ∠G are congruent to each other because they are vertically opposite angles.
Then the correct option is D.
More about the angled link is given below.
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What is the simplified form of the quantity of x plus 7, all over the quantity of 6 − the quantity of x plus 5, all over the quantity of x plus 3?
Answer:
Step-by-step explanation:
[ (x + 7) / 6 ] − [ (x + 5) / (x + 3) ]
First, we must find the common denominator. In this case, that's 6 (x+3). Multiply the first fraction by (x+3)/(x+3) and the second fraction by 6/6.
[ (x + 7)(x + 3) / (6 (x + 3)) ] − [ 6 (x + 5) / (6 (x + 3)) ]
Now distribute the numerators:
[ (x² + 10x + 21) / (6 (x + 3)) ] − [ (6x + 30) / (6 (x + 3)) ]
Now we combine the fractions:
((x² + 10x + 21) − (6x + 30)) / (6 (x + 3))
(x² + 10x + 21 − 6x − 30) / (6 (x + 3))
(x² + 4x − 9) / (6 (x + 3))
So the simplified form is:
[tex]\frac{x^{2} + 4x - 9}{6 (x + 3)}[/tex]
Help URGENT! I WILL MARK BRAINLIEST!!!!!!!! JUST HELP MR FIND THE ANSWER OF THE PROBLEM IN THE IMAGE ABOVE!!!!! Worth 20 points!!!
Answer: -8n^4 + 3n^2
(The ^ is the exponent)
What transformation has changed the parent function f(x) = 3(2)x to its new appearance shown in the graph below?
exponential graph passing through point 0, 1.
f(x) + 2
f(x) − 2
f(x + 2)
f(x − 2)
Answer:
Second Option
f(x) − 2
Step-by-step explanation:
The function [tex]y=3 (2) ^ x[/tex] passes through point (0, 3) because:
[tex]f (0) = 3 (2) ^ 0 = 3 (1) = 3[/tex]
Then, if the transformed function passes through the point (0, 1) then this means that the graph of [tex]y = 3 (2) ^ x[/tex] was moved vertically 2 units down.
The transformation that displaces the graphically of a function k units downwards is:
[tex]y = f(x) + k[/tex]
Where k is a negative number. In this case [tex]k = -2[/tex]
Then the transformation is:
[tex]y = f(x) -2[/tex]
and the transformed function is:
[tex]y = 3(2) ^ x -2[/tex]
Answer:
f(x − 2)
Step-by-step explanation:
thats the right answer
through: (-1, 0), parallel to y = 3x
y = mx + b
m = slope
b = y-intercept
Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)
To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b
0 = 3(-1) + b
0 = -3 + b
0 + 3 = (-3 + 3) + b
3 = b
so...
y = 3x + b
Hope this helped and made sense!
~Just a girl in love with Shawn Mendes
Answer:
y = 3x - 3
Step-by-step explanation:
Since our line is parallel to y = 3x, our slope should be 3. We also have the points (-1, 0).
From here, we can use the point-slope form (how convenient):
y - y₁ = m(x - x₁), where (x₁, y₁) is the given coordinate on the line, and m is the slope of the line
Plug in: y - 0 = 3(x - 1)
We could leave it here, but we should convert this line into the more commonly-seen slope-intercept form.
Distribute: y - 0 = 3x - 3
Identity: y = 3x - 3
Drag each expression to show whether it can be used to find the area, perimeter, or neither.
Perimeter: 2(l+w)
2•l+2•w
l+w+l+w
Area: l•w
wl
Neither: l+w
I need help with my math
Answer:
Undefined
Step-by-step explanation:
Same x coordinates with different y values is considered undefined
[tex]
s=\frac{-2-6}{-4-(-4)}=\frac{-8}{0}=\boxed{undefined}
[/tex]
Mr. Smith is appointed as the principal of a school. In order to keep the building safe, he appoints 2 hall monitors for every hallway, and 4 supervisors for every 20 hall monitors.
Mr. Smith’s school has 30 hallways. How many supervisors does Mr. Smith need to appoint?
A.
12 supervisors
B.
32 supervisors
C.
16 supervisors
D.
24 supervisors
Reset
We know that there are 30 hallways and we know that there are 2 hall monitors for every hallway. Knowing this, we see that there are 60 total hall monitors
We also know that there are 4 supervisors for every 20 hall monitors.
60 hall monitors can also be thought of as 20 hall monitors + 20 hall monitors + 20 hall monitors
We see that there are 3 groups of 20 hall monitors
Group 1 will have 4 supervisors
Group 2 will have 4 supervisors
Group 3 will have 4 supervisors
Answer: 12 supervisors
a rectangle is graphed on the coordinate grid.
which represents the equation of a side that is perpendicular to side s?
Answer:
y = x + 3 or y = x - 3
Step-by-step explanation:
Rise over run for slope (m) and then get the y-intercept (b) by continuing the pattern from right to left until you cross the y-axis.
Plug m and b into y = mx + b
side p and side r are both perpendicular to side s.
Side p:
y = x + 3
Side s:
y = x - 3
Find the zeros of the function. y=1/2(2x+5)(x+4)
I think the answers are X=-2.5 and X=-4 but I'm not sure about the -2.5 Pls Help
0=1/2(2x²+13x+20)
0=x²+6,5x+10
[tex]x = \frac{ - 6.5 + \sqrt{2.25} }{2} \\ x = - 2.5 \\ x = - 4[/tex]
Answer:
x = - 2.5, x = - 4
Step-by-step explanation:
To find the zeros, set y = 0, that is
[tex]\frac{1}{2}[/tex](2x + 5)(x + 4) = 0
Equate each of the factors to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - 2.5
x + 4 = 0 ⇒ x = - 4
The table shows ordered pairs of the function y = 8 - 2x.
When x = 8, the value of y is
у
14
10
6
IT
0
L
10
-12
Answer:
-8
Step-by-step explanation:
Simply plug in 8, then evaluate to arrive at your answer.
Help please !!!!! Math 3
Answer:
A
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent in the terms of the polynomial. The leading coefficient is the coefficient of the term with the largest exponent.
Given
f(x) = 2x³ + 2x² - [tex]\frac{1}{x}[/tex]
The term - [tex]\frac{1}{x}[/tex] means that f(x) is not a polynomial
Since terms with division by a variable are not allowed.
How many solutions does the equation 5x + 3x − 4 = 10 have?
Zero
One
Two
Infinitely many
I believe that it has two solutions
Answer:
The given equation has just one solution
Step-by-step explanation:
To find the solution to the problem given, we will follow the steps below;
5x + 3x - 4 = 10
We will first start by simplifying
8x - 4 = 10
Add 4 to both-side of the equation
8x - 4 + 4 = 10 + 4
8x = 10
Divide both-side of the equation by 8
8x/8 = 10/8
At the left-hand side of the equation, 8 will cancel-out 8 leaving us with just x while at the right-hand side of the equation 10 will be divided by 8
x=1.25
Therefore the given equation has just one solution
1.
A photo of a painting has a scale of 3 inches = 2 feet. If the photo is 7.5 inches long, how many feet long is the painting?
45
11.25
5
1.25
Divide the total inches by the scale inches:
7.5 / 3 = 2.5
Multiply that by the scale feet:
2.5 x 2 = 5 feet.
Answer: 5
Step-by-step explanation:
How much quarterly budget should be allocated for a facility that spends an average of $30,000 annually for each of its 611 inmates?
Answer:
4,582,500
Step-by-step explanation:
(30,000*611)/4=4,582,500
Answer:
Quarterly budget of $4582500 must be allocated.
Step-by-step explanation:
A facility spends on its inmates of an average = $30000 annually
Number of inmates = 611
Total amount to be spent = $30000×611
= $18330000
Since there are 4 quarters in a year so quarterly budget allocated
= [tex]\frac{18330000}{4}[/tex]
= $4582500
Therefore, quarterly budget of $4582500 should be allocated.
Given: m∠ELG = 124°
Prove: x = 28
Answer:
Angle addition postulate and 2x=56
Step-by-step explanation:
The value of x is 28 degree.
What is linear pair?Linear pair of angles are formed when two lines intersect each other at a single point.
Given:
m∠ELG = 124
as, m∠ELG and m∠ELD are in linear pair.
So, 124 + 2x =180
2x =56
x -28
Hence, the value of x is 28 degree
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16 POINTS!
WILL GIVE BRAINLIEST!
A class tracked the hours each student played games per month. Answer the questions below.
Based on the data in the line plot, show all work to calculate the following:
a) The mean
b) The median
c) The mode
d) What percentage of the students play video games for more than 4 hours in a month?
Answer: The mean
Step-by-step explanation: a) The mean:
To find the mean, we just simply need to add the hours spent by the students playing games and divide by the number of hours.
Mean = = 2.85
b) The median:
We will arrange the number of hours for in ascending order and the middle value will be the median.
Median = 3
c) The mode:
Mode is the number which occurs most frequently. So in this case Mode = 2, 3.
d)Percentage of the students play video games for more than 4 hours in a month = = 45%
what is the length of the line segment with endpoints (-6,-8) and (7,-8)
Answer:
The length of the line segment is 13 units
Step-by-step explanation:
The line segment joining the two points is horizontal since the y co-ordinate is the same.
For a horizontal line, the length of the line segment is simply the difference between the x co-ordinate values.
In this case we have;
7 - (-6) = 7 + 6 = 13
Therefore, the length of the line segment is 13 units
Answer:
your answer is 13 units
Step-by-step explanation:
I do K12