Answer:
Cost of 1 egg = x = $0.89
Cost of 1 sausage = y = $0.74
Step-by-step explanation:
Let the:
Cost of 1 egg = x
Cost of 1 sausage = y
A breakfast menu lists:
3 eggs with 2 sausage for $4.15
3x + 2y = 4.15......Equation 1
4 eggs with 1 sausage for $4.30 .
4x + y = 4.30...... Equation 2
y = 4.30 - 4x
We substitute 4.30 - 4x for y in Equation 1
3x + 2(4.30 - 4x) = 4.15
3x + 8.6 - 8x = 4.15
3x - 8x = 4.15 - 8.6
-5x = -4.45
x = -4.45/-5
x = $0.89
Solving for y
y = 4.30 - 4x
y = 4.30 - 4(0.89)
y = 4.30 - 3.56
y = $0.74
Therefore,
Cost of 1 egg = x = $0.89
Cost of 1 sausage = y = $0.74
Members of a softball team raised $1648.50 to go to a tournament. They rented a bus for $896.50 and budgeted $47 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Answer:
The number of players the team can bring to the tournament is 16.
Step-by-step explanation:
With the information provided, the equation would express that the total cost to go to the tournament is equal to the price to rent a bus plus the result of multiplying the amount per player for meals for the number of players.
Total cost=896.50+47x, where:
x is the number of players
Now, as you know that the softball team raised $1,648.50 to go to a tournament, you can replace the total cost with this number and solve for x:
1,648.50=896.50+47x
1,648.50-896.50=47x
752=47x
x=752/47
x=16
According to this, the answer is that the number of players the team can bring to the tournament is 16.
Answer:
Equation: 47x + 896.5 = 1648.5
X= 16
Step-by-step explanation:
Delta Math
The sum of four consecutive integers is -26. What are the integers? A book has pases.
Answer:
In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.
Step-by-step explanation:
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63. Jake finds 35.270 ÷ 10 using the same method and gets 35.27. Use the drop-down menus to complete the statement about why Jake is correct or incorrect.
Answer:
Jake is incorrect with his methodology for solving these problems
Step-by-step explanation:
Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27
Answer:
Step-by-step explanation:
answer these 2 questions if ur smart?!?!?
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
1. [tex]8x^2+xy-15y^2[/tex] 2. [tex]10x^2 + 28x + 15[/tex]
Step-by-step explanation:
For Question 1:
[tex](4x + 5y) (2x - 3y) + 3xy[/tex]
= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]
[tex]=8x^2+xy-15y^2[/tex] (cannot simplify any further)
For Question 2:
[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]
[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]
[tex]=10x^2 + 28x + 15[/tex] (cannot simplify any further)
PLSSSS HELPPPPPP ME WITH MATHHH
Answer:
x = 62
Step-by-step explanation:
If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees) and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.
Simplify: -x - 4x + 2
Answer:
5x+2
Step-by-step explanation:
:)
Answer:
16x little 2 on top - 40xy + 25y little 2 on top
Step-by-step explanation:
help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help
Please help!!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(-8)) = 119
Step-by-step explanation:
Given
g(x)=2x-5h(x)=x²-2To determine
g(h(-8)) = ?In order to determine g(h(-8)), we need to determine h(-8) first
substituting x = -8 in h(x)=x²-2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so
g(h(-8)) = g(62)
now substituting x = 62 in g(x)=2x-5
g(62)=2(62)-5
g(62) = 124 - 5
g(62) = 119
so
g(h(-8)) = g(62) = 119
Therefore,
g(h(-8)) = 119Given the equation log2x + log2(x – 7) = 3, solve for x.
Answer:
x∈{-1, 8}Step-by-step explanation:
[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]
what is the explicit rule for 64,67,70,73,76
Answer: The answer is 3.
Step-by-step explanation:
64+3=67 67+3=70 Etc.
Need help please asap
Answer:
the radius is 2.66ft
Step-by-step explanation:
my process of elimination:
first one: ❌ the radius is half of the length across (the dot) so 5.32ft divided by 2 it would be 2.66ft
sec. one: ❌ unlike the radius (which is half of the length across) the diameter is the full length across so the diameter would be 5.32ft
third one: ❌ actually almost tricked me then I remembered the circumference is for all around. this measurement only accounts for the diameter (5.32ft) and the radius (2.66ft)
fourth one: ✅simply was the truth. the radius is half of the diameter so if the diameter is 5.32ft then the radius is 2.66ft
I hope this helps I totally understand the struggles of math
Answe please BEN..........
Answer:
its the first one
Step-by-step explanation:
t - 3 > -5
+3 > +3
___________
t > -2
t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.
Answer:
t>-2
Step-by-step explanation:
Treat this like an equation and add -3 to both sides:
t>-2
The correct choice should be #1
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
The difference between 31 and a number is 7
Answer:
thirty-eight
Step-by-step explanation:
31+7= answer
Answer:
i think its either 38 or 24
Step-by-step explanation:
factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
Denver, Colorado is called " The Mile High City" because of it's elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is- 282 feet.
Answer:
A. 5,562 feet higher
B. 0 feet
Step-by-step explanation:
A. Calculation for how many feet higher is denver than death valley
Numbers of feet=5,280 feet-(- 282 feet)
Numbers of feet=5,280 feet+282 feet
Numbers of feet=5,562 feet higher
Therefore the numbers of feet higher is denver than death valley will be 5,562 feet higher
B. Since ocean level tend to have 0 feet which means that in a situation where you were standing close to the ocean what the elevation would be is 0 feet.
How many super saiyans does it take to screw in a light bulb?
Answer:
bro just use ur hand
Step-by-step explanation:
Answer:
Probably a lot considering Vegeta couldn't safely break an egg :)
Step-by-step explanation:
. _ .
................
Hey there!
I believe the answer to your question is 24.
If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.
Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.
Help asap ...................
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
Which has the greatest variance?
{5,5,5,5,5)
{1, 1, 1, 1, 21)
{1,3,5,7,9)
{3,4,5,6,7)
Answer
1,3,5,7,9
Step-by-step explanation:
HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14
Answer:
[tex](-3.1, -32.5)[/tex]
Step-by-step explanation:
Set the equations equal to each other: 25x+45=15x+14
Solve for x: 10x = -31
Solve for x: x=-3.1
Plug the x value back into one of the equations to find the value of y:
y = 15 (-3.1) +14
y = -32.5
Answer:
7,68
Step-by-step explanation:
y=2x+54
y=15x+14
you can do elimination so you need to multiply the x's by -15 and 2
y=-30x+54
y=30x+15
the x's are canceled out and you add the remaining
y=54. y=68
y=15
To find x you makes an equation of one of the equations given
68=2x+54
14=2x
7=x
A square target is shown. A dart is dropped randomly onto the target. The dart is equally kely to hit any spot on the target
18 cm
3 cm
18 cm
3 cm
not drawn to scale
What is the probability that the dart will hit a spot in the shaded square?
och
D
Probability helps us to know the chances of an event occurring. The probability that the dart will hit a spot in the shaded square is 0.028.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The area of the dark area = 3cm × 3cm = 9cm²
The area of the white area = (18cm×18cm)-(3cm×3cm) = 315cm²
Now, the probability that the dart will hit a spot in the shaded square will be,
Probability = 9 / 315 = 0.028
Hence, the probability that the dart will hit a spot in the shaded square is 0.028.
Learn more about Probability:
https://brainly.com/question/795909
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HELPP ME I JUST HAVE A 67 IF I GET THIS ONE WORN GI HAVE A 50 AS A GRADE PLEASEE
Answer:
4,000 cm
Step-by-step explanation:
10,000 x 0.4
just do 10,000 x 4
(40,000)
and then move the decimal point one space to the left
(4,000)
Please help, 20 points.
Answer:
B
Step-by-step explanation:
3×+ 4y =24
3x -y = 3 It is just like algebra I might be wring but I tryed
the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0
All real solutions of the function y=f(x) are x = -4 and x = 4
What is a solution ?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
we are Given graph in the attachment represents the function y = f(x)
Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.
Thus the graph of the function touches and crosses at x = -4 and x = 4
Therefore, all real solutions of the function y=f(x) are x = -4 and x = 4
Learn more about solutions of a equation here:
https://brainly.com/question/15582302
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The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?
Answer:
6 daysStep-by-step explanation:
Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n
To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n
425 ≥ 125 + 50n
Subtract 125 from both sides
425 - 125 ≥ 125 + 50n - 125
300≥ 50n
Divide both sides by 50
300/50≥50n/50
6 ≥n
Rearrange
n≤6
Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days
tamara has completed 60% of her practice time for the track meet. If she is expected to practice for 18h, how long has she already practiced?
Answer:
10h and 48min
Step-by-step explanation:
60*18=1080
1080/100=10.8
so 10.8h which means 10 hours and 48 min
Which is an equivalent equation solved for t?
O te fry
O tufa
O t= a(f - V)
O t = v(f – a)
Answer:
[tex]\dfrac{v-u}{a}[/tex]
Step-by-step explanation:
The given equation should be:
v = u +at ...(1)
Where
u is initial velocity, v is final velocity, a is acceleration and t is time
We need to solve the above equation for t.
Subtract u from both sides.
v-u= u +at -u
v-u=at
Dividing both sides by a.
[tex]\dfrac{v-u}{a}=\dfrac{at}{a}\\\\t=\dfrac{v-u}{a}[/tex]
So, the expression for t is equal to [tex]\dfrac{v-u}{a}[/tex].