Answer:
$7
Step-by-step explanation:
You want to know the cost of each friend's meal if 5 friends spend $41 on their food, which includes a $6 delivery charge.
CostFor 'a' friends spending 'x' on each meal, the total cost is ...
6 + ax = 41
Solving for x, we have ...
ax = 41 -6 = 35
x = 35/a
5 FriendsWhen the number of friends is a = 5, the cost of a meal is ...
x = 35/5 = 7
The cost of each friend's mean when the number of friends is 5 is $7.
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R’S’T’ is the image of RST under a dilation through point C. RS=5 and R’S’=8
The scale factor that was used in the dilation is 1.6.
What is dilation?A change called dilation lets you resize an object. Dilation is a method for enlarging or contracting objects. The result of this alteration is a picture with the exact same shape as the original. The form, however, has a size difference.
Now,
Scale factor = Dimension of the new shape/Dimension of the original shape
We have △R′S′T′ is the image of △RST under a dilation through point C. Also, given that RS=5 and R′S′=8.
So, the scale factor is,
Scale factor = Dimension of the new shape/Dimension of the original shape
Scale factor = R′S′ / RS
= 8/5
= 1.6
Hence, the scale factor that was used in the dilation is 1.6.
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PLEASE HELP ME HERE ITS DUE TOMMOROW! I'LL GIVE U 30 POINTS FOR THIS!!!
Answer:
1.9
2.3
3.6
4.5
5.20
Step-by-step explanation:
hope it helps
Which of the following describes how the dotted line relates to the solid line (f(x))? reflection through the y-axis, f(x) → f(-x) reflection through the x-axis, f(x) → -f(x) reflection through the y-axis, f(x) → -f(x) reflection through the x-axis, f(x) → f(-x) | 100 POINTS|
Answer:
B) reflection through the x-axis, f(x) → -f(x)========================
We observe on the graph that:
The line is reflected across the horizontal axis, which is the x-axis,The reflection doesn't affect the x-coordinates,The reflection changes each y-coordinate to opposite sign.All the above helps us to conclude that:
This is the reflection through the x-axis, f(x) → -f(x)Answer:
Reflection through the x-axis, f(x) → -f(x).
Step-by-step explanation:
On comparison of the dotted red line with the solid blue line, it is apparent that the x-coordinates do not change, yet the y-coordinates are negatives of each other.
This suggests a reflection in the x-axis.
(Note: If the function was reflected in the y-axis, the y-coordinates would not change, yet the x-coordinates would be negatives of each other).
Mapping rule for reflection in the x-axis:
(x, y) → (x, -y)Therefore, as y → -y then f(x) → -f(x).
So the correct answer that describes how the dotted line relates to the solid line f(x) is:
Reflection through the x-axis, f(x) → -f(x).If h(x) = 3x² – 5x – 2, find h(2)
Answer:
h(2) = 0
Step-by-step explanation:
1) 2 * 2 = 4
2) 4 * 3 = 12
3) 5 * 2 = 10
4) 12 - 10 - 2 = 0
Find the slope and the y-intercept of the line.
y=4x-7
Answer:
slope: 4
Y intercept: -7
Step-by-step explanation:
slope intercept form is y=Mx+b
m- slope
b- y intercept
Looking at this equation where m is 4 is so the slope is 4
And where b is -7 is so the y intercept is -7
Hopes this helps please mark brainliest
what is the probability of rolling a yahtzee on the first round? round your answer to 4 decimal places. enter your answer into variable
The probability of rolling a yahtzee on the first round is calculated to be 6/46656 or 1/7776
Given that,
A dice is rolled for one time .
To find : The probability that a yahtzee will be rolled on the first round.
Your first die will be one of the 6 possible results 6/6 times
That will match on the second die 1/6th of the time.
The third, fourth, and fifth dice all share this characteristic.
Multiplying the all probabilities that the first die will be a yahtzee which is
P( yahtzee will be rolled on the first round) = Product of all possible outcomes of each time a dice is rolled.
6/6*1/6*1/6*1/6*1/6*1/6=6/46656 or 1/7776
Therefore, probability that a yahtzee will be rolled on the first round is 1/7776.
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Two Tofurkys will serve six people. How many people will fourteen Tofurkys serve?
PLEASEEEE HELP!!!
Directions: write the equation of the graph in slope-intercept form
Answer:
Step-by-step explanation:
y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis)
try this it works
Sam can paint a house in 5 hours. Gary can do it in 3 hours. How long will it take the two working together?
It takes them approximately 1.8 hours to paint the house together
Given,
Sam can paint a house in 5 hrs.
and, Gary can do it same work in 3 hrs.
To find the how long it will take the two working together?
Sam can paint a house in 5 hours. This means that Sam's unit rate of working is 1/5
Gary can paint the same house in 3 hours.
This means that Gary's unit rate of working is 1/3
If they work together, it would take them lesser time because they are working simultaneously. This means that their unit rates are additive. Combining their unit rates, it becomes
1/5 + 1/3 = 8/15
Assuming that if they work together, it will take them t hours. Therefore, Their unit rate of working will be 1/t.
Therefore,
8/15 = 1/t
8t = 15
t = 15/8 = 1.875
Hence, It takes them approximately 1.8 hours to paint the house together.
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A new pair of Jordans are going to drop in a couple weeks and you know you just have to have them. It looks like the/il
be expensive, so you decide to start babysitting your cousin to make the money. You already have $42 saved up and
you will make $6 for every hour of babysitting. The shoes will cost at least $90.
a) What’s the initial cost
Answer:
incomplete question..please complete the question to get the answer. there are some missing details
(w+1)°
91 ° algebraic
The value of w in Angle (w + 1)° is 88
Given,
Angle (w + 1)°
Angle 91°
We have to find the value of w.
Here,
Linear pair of angles;
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
Then,
Here the given angles are linear pair.
So,
(w + 1)° + 91 = 180
w + 1 + 91 = 180
w + 92 = 180
w = 180 - 92
w = 88
Then,
Angle (w + 1)° = 88 + 1 = 89°
Therefore,
The value of w in Angle (w + 1)° is 88
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Element X is a radioactive isotope such that every 11 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 70 grams, how long would it be until the mass of the sample reached 14 grams, to the nearest tenth of a year?
The time taken for 14g of the radioactive isotope to remain is 25.70 years.
What is the time taken?We know that the half life is the time that it would take for us to have only half of the number of the original radioactive isotopes in the sample still remaining in the sample.
We have the following information;
Half life of the sample = 11 years
Amount of the sample initially present = 70 grams
Amount of the sample after time t = 14 grams
Given that;
N/No = (1/2)t/[tex]t_{\frac{1}{2} }[/tex]
N = amount of radioatve isotpe at time t
No = amount of radioactive isotope initially present
t = time taken
[tex]t_{\frac{1}{2} }[/tex] = half life
14/70 = (1/2)^t/11
0.2 = (1/2)^t/11
ln 0.2 = t/11 ln0.5
t/11 = ln 0.2/ ln0.5
t = 11 * ln 0.2/ ln0.5
t = 11 * (-1.61/-0.69)
t = 25.70 years
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Answer: 2.5
Step-by-step explanation:
got it right
please help!
Solve the equation.
√3x-5-3√x = 0
x = -
[?
Answer:
x = 7
x = 2
√ 3x − 5 = x − 3
or
3x − 5 = ( x − 3 ) 2
or
3x − 5 = x 2 − 6x + 9
or
x 2 − 9x + 14 = 0
or
x 2 − 7x − 2x + 14 = 0
or
x(x − 7) − 2(x − 7) = 0
or
(x − 7) ( x − 2) = 0
or
x − 7 = 0
or
x = 7
Ans
1
or
x − 2 = 0
or
x = 2
Ans
2
Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -2, y-intercept: 7
Answer: y=-2x+7
Step-by-step explanation:
we know that equation is y=mx+b
b=y intercept
x=the x coordinate
m=slope
y=y coordinate
then you can just fill it in from there . hope this helps
help please
.............
Answer:
x ≈ 41.7 ° (a)
Step-by-step explanation:
b² = a² + c² - 2ac × cosβ
~~~~~~~~~~~
25² = 32² + 37² - 2(32)(37)cosx
625 = 2,393 - 2,368 cosx
cosx = [tex]\frac{-2393+625}{-2368}[/tex] ≈ 0.74662162
x ≈ 41.7 ° (a)
Solve for x
X+59+80+50=180
Answer: x= -9
Step-by-step explanation:
Add like terms excluding x in: x+59+80+50=180
= x+189=180
[Transposing 189 to RHS] x=180-189
So x= -9
Given h(x)=-x+5h(x)=−x+5, find h(-3)h(−3).
The expression we get from the given functions h for all real numbers x.
h(-3)= 8
Given that,
All real numbers x are defined by the functions h.
h(x)= -x+5
We have to find the expression
h(-3)
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation.
Take the functions,
h(x)= -x+5
Now, Take
h(-3) =-(-3)+5 = 3+5= 8
Therefore, The expression we get from the given functions h defined for all real numbers x.
h(-3)=8
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Write an expression that represents the total owed for 6 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $50?
6(c) + 50
6(c + 50)
2(50) + c
50c + 6
Josh spends of his savings to buy 48 4 5 shares in a cech company. He has $18 left. Part A: How much does each share of the tech company cost? Show your work. Part B: How many more shares can Josh buy with the remainder of his savings? Explain.
Each share of the tech company cost is $1 and 18 more shares can Josh buy with the remainder of his savings.
Given:
Josh spends of his savings to buy 48 4/5 shares in a cech company. He has $18 left.
Let x be the total savings
4/5 x = 48
x = 48*5/4
= 240/4
= $60
= 4/5*60
= 240/5
= $48.
Part A:
The cost of each share of the tech company = 48/48
= $1
Part B :
He has 18 so he can buy =18*1
= 18 shares .
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Rewrite each expression without using absolute value bars.
|3r-15| if r<5
Rewriting the expression |3r-15| without using absolute value bars gives
3r < 15 for r < 5
How to write the expression without using the absolute value barsAbsolute value do not give negative values it gives only the positive value
The given expression is |3r-15|
|3r - 15| < 0
|3r| < |-15|
3r < 15
If r < 5 then say 4
|3r - 15|
|3 * 4 - 15|
|12 - 15|
|-3| = 3
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Graph the polynomial
1- g(x) = (x+5)^4
2- f(x) = 7- (x) ^4.
3- h(x) = 1/4 ( x-3 )^4
Don't forget to find x-int. and y-int.
Answer:
The x-intercept is the point where the graph crosses the x-axis; it can be found by setting y = 0 and solving for x.
The y-intercept is the point where the graph crosses the y-axis; it can be found by setting x = 0 and solving for y.
1) g(x) = (x + 5)⁴
y-intercept: g(x) = (0 + 5)⁴ → (0, 625)x-intercept: 0 = (x + 5)⁴ → (-5, 0)2) f(x) = 7 - x⁴
y-intercept: f(x) = 7 - 0⁴ → (0, 7)x-intercept: 0 = 7 - x⁴ → (±[tex]\sqrt[4]{7}[/tex], 0)3) h(x) = ¼(x - 3)⁴
y-intercept: h(x) = ¼(0 - 3)⁴ → (0, [tex]\frac{81}{4}[/tex])x-intercept: 0 = ¼(x - 3)⁴ → (3, 0)The graphs are labeled below.
Consider function f.
f(x) = 2² - 2 + 6
Which statement is true about the parabola modeled by function ?
O A.
OB.
O C.
O D.
The parabola has a minimum value of 5.75.
The parabola has a maximum value of 5.75.
The parabola has a maximum value of 0.5.
The parabola has a minimum value of 0.5.
The parabola has a minimum value of 5.75.
From the question, we have
f(x)=x^2-x+6
a=1, b=-1, c=6
Δ=b^2-4ac
=1-24
=-23<0
So f(x)=0 has no solution.
x=-b/2a=-(-1)/2=1/2
f(1/2)=1/4-1/2+6
=23/4 is the minimum
=5.75
The parabola has a minimum value of 5.75.
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = x + 2
Step-by-step explanation:
Use any two points.
For example, let's use (-3, -1) and (1, 3).
First, we find the slope.
slope = m = (-1 - 3)/(-3 - 1) = -4/(-4) = 1
We have slope = m = 1.
Now we use the equation:
y = mx + b
We plug in the slope we found above.
y = 1x + b
y = x + b
Now we use one of the given points to find b.
We'll use point (1, 3).
3 = 1 + b
b = 2
Now that we know m and b, we write the equation:
y = x + 2
Mrs.Galicia bakes and then sells cookies and brownies from her bakery. Her revenue for each baked good (in
dollars) is modeled by the equations, where x is the number of days since the bake goods started to sell.
Brownies: M (d) = 2x² + 8x - 4
Cookies: R(d) = 2x + 4
(a) Solve the system algebraically. After how many days is the revenue for each item the same? Show
your work and explain your answer.
(b) Graph this system to show both solutions. Label each axis appropriately.
a) After 1 day, the revenue for each item is the same.
b) Graph is shown in the attachment.
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
M(d) = 2x² + 8x - 4
R(d) = 2x + 4
a) Find x by taking y=M(d)=R(d). ( same revenue=y)
y= 2x² + 8x - 4
y= 2x + 4
This shows that right-side expressions are equal.
2x² + 8x - 4 = 2x + 4
2x² + 8x - 4 - 2x - 4=0
2x² +6x-8=0
Find the factors
2(x-1)(x+4)=0
x-1=0, x+4=0
x= 1, x=-4
consider positive value for days
So, after 1 day, the revenue for each item is the same
b) The equations:
y= 2x² + 8x - 4
y= 2x + 4
By taking some random values for x and finding the corresponding y values, we get the ordered pairs in the form of (x,y).
By plotting and joining those points, we get the graph as shown in the attachment.
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this was due the 7th i didn't even relize i had this due!!! pls help
The function for motorboat's distance from the shore is y = -4x + 50.
A function is a formula, rule, or law that specifies how one variable (the independent variable) and another variable are related. The linear equation is of the form Ax+By+C=0.
Where A and B are the coefficient and C is the constant.
After 9 minutes, boat is 14 km from the shore, so finding the rate of change,
Rate of Change [tex]=\frac{14-50}{9}\\[/tex]
[tex]=\frac{-36}{9}\\ =-4[/tex]
So, the rate of change of distance is 4 km / minutes.
Now, finding the function,
The function for the distance of motorboat from the shore will be,
y = -4x + 50
Where y will be the final distance and x is the minutes.
Therefore, the function for motorboat's distance from the shore is y = -4x + 50.
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PLEASE HELP!!!
for points
Complete each row of the table.
The Hiking club will be 0.6.
The completion for the row of the table will be:
Grade 7
Dance club: 0.25
Hiking club: 0.75
Total : 1
Grade 8:
Dance club: 0.40
Hiking club: 0.60
Total : 1
How to calculate the values?
The dance club for grade 7 will be calculated as:
= Number of dancers / Total number
= 5/20
= 0.25
The hiking club will be:
= 15/20
= 0.75
The dance club for grade 8 will be calculated as:
= Number of dancers / Total number
= 20/50
= 0.4
The hiking club will be:
= 30/50
= 0.6
Hence, The Hiking club will be 0.6.
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Calculate a four-day moving average for the price of the stock for the end of day 7. Day 1 - 62. 00; day 2 - 56. 00; day 3 - 50. 00; day 4 - 60. 00; day 5 - 59. 00; day 6 - 55. 00; day 7 - 59. 00; day 8 - 63. 0.
The average for the price of the stock for the end of day 7 is 57.28
Given,
The stock of 8 days;
Day 1 - 62. 00
Day 2 - 56. 00
Day 3 - 50. 00
Day 4 - 60. 00
Day 5 - 59. 00
Day 6 - 55. 00
Day 7 - 59. 00
Day 8 - 63. 00
We have to find the average for the price of the stock for the end of day 7.
Here,
Average = Total sum / Number
Then,
Average = (day 1 + day 2 + day 3 + day 4 + day 5 + day 6 + day 7) / n
= (62 + 56 + 50 + 60 + 59 + 55 + 59) / 7
= 401/7
= 57.28
Therefore,
The average for the price of the stock for the end of day 7 is 57.28
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1. George plays basketball in a week-long camp. On day 3, he scored 10 points. On day 6, he scored 16 points. Explain how to measure his average rate of change.
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
The average rate of change is 2
Step-by-step explanation:
First set divide your data into 2 sets of separate data:
Independent Data= Day 3
Dependent Data = 10 points
Independent Data= Day 6
Dependent Data = 16 points
Then subtract your two independent data: 6-3=3
Then subtract your two dependent data: 16-10=6
Next divide: difference in dependent/ difference in independent
6/3=2
So, your rate of change is 2.
2. How would you explain why the equation √z= -7 does not have a solution?
Answer:
It does not have an answer because the square root of any number cannot be negative
Yes, the equation √z= -7 does not have a solution.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
given that, the equation √z= -7
now, we know, that the equation √z= -7 does not have a solution.
because, we know,
It does not have an answer because the square root of any number cannot be negative.
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I NEED A ANSWER RN PLS!!
A cylindrical jar has a radius of 6 inches and a height of 10inches. The jar is filled with marbles that have a volume of 20 in3. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?
b. How many whole marbles can fit in the jar? *Each marble has the volume of 20 cubic inches
The volume of the jar is 1130.4 cubic inches and the number of marbles that can fit is 56.
What is a cylinder?In geometry, it is defined as a three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
It is given that:
A cylindrical jar has a radius of 6 inches and a height of 10inches.
The volume:
V = π(6)²(10)
V = (3.14)(6)²(10)
V = 1130.4 cubic inches
Number of marbles = 1130.4/20 = 56.52 = 56 marbles
Thus, the volume of the jar is 1130.4 cubic inches and the number of marbles that can fit is 56.
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