Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
Solve the equation
n/10+6=13
Answer:
n = 70
Step-by-step explanation:
n/10 + 6 = 13
n/10 = 7
n = 70
CHECK:
70/10 + 6 = 13
HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?
Step-by-step explanation:
I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.
we have clear expenses :
1× $100
3× $20
that is in total : $160
now we need to make sure that we generate exactly $160 by selling the tickets.
we have 100 tickets that should lead to $160.
how much should 1 ticket cost ?
well, 160/100 = $1.60
What is the 5th equivalent fraction to 1/12?
Answer:
Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12 ...
Step-by-step explanation:
Hope it helps
Meshal earns $750 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 3/25 of his income withheld for medical coverage. How much income is left each week after those deductions?
Answer:
$460 is the Income Left.
Step-by-step explanation:
1/5 of $750 is $150 so after Federal Taxes he has $600
1/15 of $750 is $50 so after State Taxes he has $550
3/25 of $750 is $90 so after Medical Coverage he has $460
Therefore after the Income that’s left after those deductions would be $460.
-2/9 as a decimal help
Answer:
-.222
Step-by-step explanation:
Hey there!
To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then
a / b
= a ÷ b
= result
Equation: -2/9
= -2 ÷ 9
= -0.222222
Answer: -0.222222
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
$756
Step-by-step explanation:
To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so
63%=.63
.63 x 1200
table value equation for y=2x + 4
Answer:
below
Step-by-step explanation:
All we need to do is substitute the x values given in the table to find each value of y thats blank.
When x = -1,
y = 2(-1) + 4
y = -2 + 4
y = 2
When x = 1,
y = 2(1) + 4
y = 2 + 4
y = 6
Whe x = 2,
y = 2(2) + 4
y = 4 + 4
y = 8
Best of Luck!
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answer:
5
Step-by-step explanation:
move constant
x+7 ≥ 12
subtract
x≥ 12-7
solution
x ≥ 5
What are the values of each variable?
help me with this guys
Let y = cos⁻¹(x), so that cos(y) = x.
For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.
For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.
Then
tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3
how fast is a skater traveling in meters per second if they are moving at a rate of 5.6 mile per hour
2.51m/s
0.25 m/s
14.24 m/s
25.09 m/s
Answer:
2.51
step by step explanation:2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.
To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:
1 mile = 1609.34 meters
1 hour = 60 × 60 = 3600 seconds
Given the skater's rate of 5.6 mph:
Speed in m/s
= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)
≈ 2.51 m/s
So, the skater is traveling at a rate of approximately 2.51 meters per second.
Learn more about speed here:
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The length of a rectangle is 3 in longer than its width.
If the perimeter of the rectangle is 70 in, find its length and width.
Answer:
A rectangle have 2 equal sides whilst the other 2 is also equal
So we can make length “l”
Whilst we can make width “w”
So the formula for a perimter is
2l+2w=p
In this case it’s 70
Now the length is 3 in longer then the width.
So l= 3+w
We can subsitute that in so we can solve the equation now
2(3+w) + 2w = 70
4w+6=70
Now solve
4w+6=70
4w= 64
w= 16
So width is 16
Lenght is 3 more then with so 16+3=19
Width is 16
Length is 19
She ran 415 miles on Monday.
She ran a different distance on Tuesday.
She ran a total of 712 miles on both days
Answer:
she ran 297 miles on tuesday
Step-by-step explanation:
Answer:
Distance ran on Tuesday: 297 miles
Step-by-step explanation:
total distance ran = distance ran on Monday + distance ran on Tuesday
⇒ 712 = 415 + x
⇒ 712 - 415 = x
⇒ 297 = x
Is this answer right?
Answer:
that is the correct answer.
Step-by-step explanation:
X2-7x-34=10 solve please
Answer:
x = 11
x = -4
Step-by-step explanation:
write a linear equation that passes through the point (-3,3) and (9,-13)
Answer:
y=-4/3x-1
Step-by-step explanation:
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2 -{x}^{1} } } [/tex]
[tex] \frac{ - 13 - 3}{9 - - 3} = \frac{ - 16}{12\ }[/tex]
y=mx+b like this:
y=-4/3x+b
To find b:
y=-4/3x+b.
You can use either (x,y) point you want..the answer will be the same
(-3,3). y=mx+b or 3=-4/3 × -3+b, or solving for b: b=3-(-4/3)(-3). b=-1.
(9,-13). y=mx+b or -13=-4/3 × 9+b, or solving for b: b=-13-(-4/3)(9). b=-1.
the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u
Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answer:
I don't think soo that it make a function
The scale of a map is 1 cm : 17 km. Find the actual distance corresponding to the map distance.
1:
The distance on the map is 2.5 cm.
The actual distance is «m.
Answer:
I believe its 42.5 or 42500
Step-by-step explanation:
if its not right im so so so so sorry
A fourth of the product of 13 and a number M
Answer:
[tex]\frac{13m}{4}[/tex]
Step-by-step explanation:
"the product of 13 and a number M" should be written as 13m.
To get a fourth of the produce we would need to divide it by four.
A fourth of the product of 13 and a number M should be [tex]\frac{13m}{4}[/tex] .
Hope this helps.
Solve the system of equations by elimination:
3x+y=5
2x-2y=-2
NO LINKS PLEASE
Answer: (1, 2)
x = 1 and y = 2
Step-by-step explanation:
3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10
2x -2y = -2 => + 2x - 2y = -2
8x = 8
**divide both sides by 8 => x = 1
*** substitute 1 for x in either equation to get y
3(1) + y = 5
-3 -3
y = 2
Question 6 of 10
Which graph or graphs appear to show a sinusoid?
A. I only
B. I and II only
C. Il only
D. III only
Answer: B. I and ll only
Step-by-step explanation:
The graph appear to show a sinusoid is Graph I and II only.
What is Sinusoidal function?A smooth, repeating oscillation characterises a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that can be described by sinusoidal functions.
A sinusoidal function has a smooth periodic graph as its representation.
The graph repeats itself at every predetermined interval and is continuous along the x-axis.
We can tell from the graph that has been given to us that it is a sinusoidal graph || since it resembles a graph of sines.
Moreover, since graph I|I is not continuous, it cannot be a graph of sinusoidal graph.
Moreover, graph I represents a sinusoidal graph because it resembles a sine function graph.
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3(x+2)=5x-7
Work out value of x
Answer:
first distribute:
3x+6=5x-7
then combine the x's:
-2x+6=-7
get rid of the 6:
-2x=-13
divide the 2:
6.5
Step-by-step explanation:
Answer:
x = 13/2
Step-by-step explanation:
3(x+2) = 5x-7 3x+6 = 5x-73x-5x = -7-6-2x = -13x = -13/-2x = 13/2Help.....Me...........PLEASE
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
negative three over eight divided by five over nine..
Answer:
- 27/40
Step-by-step explanation:
The picture shows $40.50 that two friends earned mowing a lawn.
They want to share the money equally.
Drag the money below to show how much each friend will get.
Answer:
Each friend gets $20.25
what is the approximate area of a circle with a radius of 11m?
Find the vertex and the axis of symmetry.
Answer:for the vertex I believe it is y-9 and x-2 for axis of symmetry
Step-by-step explanation:
Answer:
a. Downwards
b1. x intercept = (-4,0) (8,0)
b2. Y intercept (0,8)
c. Vertex (2,9)
d. Axis of symmetry 2
Step-by-step explanation:
Express each ratio as a fraction in the simplest form:
8dm to 3.2 m and 0.3k to 500 m
Answer:
1/4, 3/5
Step-by-step explanation:
0.8/3.2=8/32=1/4
0.3/0.5=3/5
There are 14 apples in a basket. 9 of these apples are green. The rest of them are red.
What is the ratio of red apples to green apples?
Answer:
9:5 is the ratio of green to red