Answer:
7.5 mph
Step-by-step explanation:
6 times 10 is 60 minutes which is an hour
3/4 times ten is 7.5
3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.
Answer:
$2.14
Step-by-step explanation:
x = price
24x+(x+16) = 53.5
25x+16 = 53.5
25x+53.5
x=53.5/25=2.14
8) Fill in the chart for each equation.
EQUATION
SLOPE
Y-INTERCEPT I SLOPE
1) y = {x-4
2) y = -9x + 5
Answer:
Equation: y = x - 4
Slope: 1
y-intercept: -4
Equation: y = -9x + 5
Slope: -9
y-intercept: 5
Hope this helps!
Find the equation of the line that passes through the point (7,-8) and is perpendicular to the line y=1/8x-2
Answer:
y=-8x+48
Step-by-step explanation:
Slope is -8 because perpendicular slopes are negative reciprocals
Plug it in:
-8=7(-8)+b
48=b
Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.
Answer:
We Subtract
Her weight on her third birthday = 36.94 pounds
Step-by-step explanation:
Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION
Leslie GAINED 5.54 pounds between her third and fourth birthdays.
This means she added weight
She weighed 42.48 pounds on her Fourth birthday
Hence, Her weight in her third birthday is:
Third birthday + 5.54 pounds = 42.48
$42.48
Third birthday = 42.48 - 5.54
= 36.94 pounds
Her weight on her third birthday = 36.94 pounds.
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
Find the test score of the student who joined the class.
Test score =
Answer:
test score of new student = 43
Step-by-step explanation:
28 x 72 = 2016 (total points class scored)
29 x 71 = 2059 (total points class scored after student joined)
2059 - 2016 = 43
The test score of the student who joined the class is 43.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mean test score of 28 students is 72.
A student joins the class and the mean becomes 71.
We have to find the test score of the student who joined the class.
28 x 72 = 2016
29 x 71 = 2059 (total points class scored after student joined)
The difference between 2016 and 2059 is the test score of new student.
2059 - 2016 = 43
Hence, the test score of the student who joined the class is 43.
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simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]
Becky needs to choose a new cell phone plan. She has 2 choices. Carolina Cell offers a monthly fee of $20.79 and $2.00 for each gigabyte of data used. Sanford Cell offers a monthly fee of $22.89 and $1.50 for each gigabyte of data used. What is the amount of gigabytes, to the nearest tenth, when both plans would cost the same?
Answer:
4.2 gigabytes
Step-by-step explanation:
To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:
20.79+2x=22.89+1.50x, where x is the number of gigabytes used.
Now, you can solve for x:
2x+1.50x=22.89-20.79
0.5x=2.1
x=2.1/0.5
x=4.2
According to this, the answer is that both plans would cost the same when 4.2 gigabytes are used.
What does the x intercept represent?
Answer:
the x intercept is the y and x combined together crossing each other
Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut is located at an elevation of 3,288 ft. A number line going from negative 4000 to positive 4000 in increments of 1000. Which point represents the change of elevation in feet on the hike from the summit to Carter Notch Hut? –4000 –3000 3000 4000
Answer:
- 3000 feets
Step-by-step explanation:
Given that:
Elevation at the summit of Mount Washington = 6288 ft
Elevation of Carter Notch Hut = 3,288 feets
The change of elevation in feets on the hike from summit to Carter Not hut:
Difference in elevation:
Summit at Mount Washington - Carter notch hut
6288 ft - 3288 ft
Change in elevation. = 3000 fts
Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets
Answer:
b
Step-by-step explanation:
12
Mackenzie wants to buy a backpack that cost $60. If the tax rate is 7.5%, how much tax will she
pay?
Answer:
$4.5
Step-by-step explanation:
I'm gonna do my work on paper.
Find x and y in each figure.
Answer:
[tex]by \:alternate \: interiar \: angle \: \\ (8y + 2) + (25y - 20) = 180 \\ 8y + 2 + 25y - 20 = 180 \\ 33y - 18 = 180 \\ 33y = 180 + 18 \\ 33y = 198 \\ y = 6 \\ \\ now \\ by \: \: linear \: pair \: \\ 10x + 8y + 2 = 180 \\ 10x + 48 + 2 = 180 \\ 10x = 180 - 50 \\ 10x = 130 \\ x = 13[/tex]
so finallyX=13and y=6-------------------------It takes dariya 35 seconds to download 5 song
Answer:
7 seconds per song?
Step-by-step explanation:
Answer:
I assume you're asking how long it takes to download 1 song, which would be 7 seconds.
Step-by-step explanation:
What is the value of x?
A)9.4
B)7
C)-9.4
D)-7
Answer:
we need to see the problem
Step-by-step explanation:
try sending a picture
(5b+6)°
(4b-6)°
answer B=
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10
Find the function of a graph in vertex form, whose
vertex is (-1,5) and passes through the point (2, -3)
Answer:
y = -⁸/₉(x + 1)² +5Step-by-step explanation:
y = a(x - h)² + k - vertex form of quadratic function with vertex (h, k)
y = a(x - (-1))² + 5 - vertex form of quadratic function with vertex (-1, 5)
y = a(x +1)² + 5
graph goes through (2, -3) so if x=2 then y =-3
-3 = a(2+1)² + 5
-3 -5 = a×3² + 5 - 5
-8 = 9a
a = -⁸/₉
So the equation of the function:
y = -⁸/₉(x + 1)² + 5
Simplify the expression.
7/4÷(3/2)
7/4 ÷ (3/2)
=7/4 × (2/3)
=(7×2)/(4×3)
=14/12
=(14÷2)/(12÷2)
=7/6
=1 1/6
A cubic meter (m³) is ________. a cubic centimeter (cm³).
a.equal to
b.smaller than
c.larger than
d.diferent form
Answer:
It would be larger than
Step-by-step explanation: hope this helps
The ratio of the number of adults to the number of students at a field trip has to be 3:8. During a current field trip, there are 190 more students on the trip than there are adults. How many students are attending the field trip? How many adults?
Given :
The ratio of the number of adults to the number of students at a field trip has to be 3:8.
During a current field trip, there are 190 more students on the trip than there are adults.
To Find :
How many students are attending the field trip? How many adults?
Solution :
Let, number of adults are x.
So, number of students are x + 190.
We know :
[tex]\dfrac{x}{x+190}=\dfrac{3}{8}\\\\8x = 3(x+190)\\\\8x -3x = 570\\\\5x = 570\\\\x = 114[/tex]
Number of students are 114 and number of adults are 114+190 = 304.
Hence, this is the required solution.
a=24
C=26
What is the length of b?
Answer:
10
Step-by-step explanation:
you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer:
122
Step-by-step explanation:
plz help me with this ty
Answer: $0.14 per fluid ounce.
Step-by-step explanation: $4.48 divided by 32 = $0.14
Hi purple (I think that was your name) please hopefully you see this I was messing around with this app and I logged out I was logged in with my old school email so now it doesn’t work so I had to make this acc it’s my school new school email please send me the pic of the carnival hw again please.
Answer:
I'm sorry but I don't know how to do function notation. I'm so sorry that I couldn't help you with this.
3 to the 7th power time 3 to the -4th
Answer:
3 to the 3rd power
Step-by-step explanation:
Two lines are parallel. Which of the following statements are true?
Select two answers that apply.
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
Answer:
The lines do not intersect. and The lines have the same slope.
Step-by-step explanation:
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
Here, we have,
given that,
Two lines are parallel.
we have, given options are:
The lines do not intersect.
The lines have the same slope.
The lines intersect and form 4 right angles.
The lines intersect and form two pairs of congruent opposite angles, one acute pair and one obtuse pair.
now, we know that,
Parallel lines never intersect, and their slopes are equal.
The other two statements, that the lines intersect and form 4 right angles or two pairs of congruent opposite angles (one acute pair and one obtuse pair), are characteristics of perpendicular lines, not parallel lines.
so, we get,
The two statements that are true for parallel lines are:
The lines do not intersect.
The lines have the same slope.
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3x²-75=0 find the square root
Answer:
[tex]x=\pm5[/tex]
Step-by-step explanation:
First, add 75 to each side.
[tex]3x^2-75+75=0+75\\3x^2=75[/tex]
Next, divide each side by 3.
[tex]x^2=25[/tex]
Now, you can take the square root.
[tex]x = \pm\sqrt25}[/tex]
[tex]x=\pm 5[/tex]
A) the quantity in column A is larger
B) the quantity in column B is larger
C) the two quantities are equal
D) relationship cannot be determined with the given information
Answer: A
The number of distinctive prime factors in Column A is 60.
The number of distinctive prime factors in Column B is 30.
This number is 1/2 half more prime factors.
There is 30 more prime factors, so the answer is A.
The quantity in column A is larger than column B.
Solve for k.
4.5 + 1.5k = 18 - 3k
Answer:
k = 3
Step-by-step explanation:
Given
4.5 + 1.5k = 18 - 3k ( add 3k to both sides )
4.5 + 4.5k = 18 ( subtract 4.5 from both sides )
4.5k = 13.5 ( divide both sides by 4.5 )
k = 3
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
[tex]4.5+1.5k=18-3k[/tex]
Subtract 4.5 to both sides
[tex]15k=13.5-3k[/tex]
Add 3k to both sides
[tex]4.5k=13.5[/tex]
Divide both sides by 4.5 to get k alone
[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]
[tex]k=3[/tex]
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a body of mass 10kg acted upon by a force of 40N for 0.5secs. Find the:(i)impulse on the body. (ii)final speed of the body. (iii)distance covered within the time interval.
Step-by-step explanation:
20n 20394848484848575
The impulse on the body is 20 kg-m/s, the final speed of the body is 2m/s, and the distance covered within the time interval is 0.5m.
What is Force?Force is the strength applied on an object with mass to change its state of motion.
The mass of the body is 10kg.
The force applied on the object is 40N.
The time for which the force is applied is 0.5 sec.
The impulse on the body is calculated by,
Impulse = Force * Time
Impulse = 40 * 0.5
Impulse = 20 kg-m/s
The final speed of the body is given by
v = u + at
Assuming the initial speed = 0
v = at
Acceleration = Force / mass
Acceleration = 40/10
a = 4 m/s²
v = 4 * 0.5
v = 2 m/s
The distance covered within the time interval is given by,
s = ut + (1/2) at²
s = (1/2) at²
s = (1/2) 4 * 0.5 *0.5
s = 0.5 m
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Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2
What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.