Answer:
2.7$
Step-by-step explanation:
What is the unit rate of 400 miles in 8 hours?
i don’t understand these 2 questions. thank you.
Answer:
a) £10.50
b) £5.40
Step-by-step explanation:
In this context, "of" means "times".
__
a)1/4 × £42 = £(42/4) = £10.50
__
b)2/5 × £13.50 = £(2·13.50/5) = £(27/5) = £5.40
_____
Additional comment
The symbol "£" is a currency symbol identifying the units of the associated number. For algebraic purposes, any symbol representing units can be treated as though it were a variable.
In this question of means multiplication.
Let us start solve this question
Question 1
[tex] \small\rm{ \dfrac{1}{4} \: of \: £ \: 42}[/tex]
First we will convert whole number into a fraction
(Any number can be converted to fraction if you use 1 as the denominator)
[tex] \small\sf{ \dfrac{1}{4} \: \times \: \dfrac{42}{1}}[/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{42}{4} = £10.50 } [/tex]
Question 2
[tex] \small\rm{\dfrac{2}{5} \: of \: £ \: 13.50}[/tex]
First we will convert whole number into a fraction
[tex] \small\sf{ \dfrac{2}{5} \times \dfrac{13.50}{1} } [/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{27}{5} =£ 5.40 } [/tex]
HELP PLEASE ITS DUE TOMMOROW
Answer:
Hope the picture will help you...............
Can someone please help me with this
Answer:
x=12
Step-by-step explanation:
Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:
5x-5=55
The first thing to do is to add 5 to both sides to get rid of -5:
5x-5=55
+5 +5
__ __
0 60
So now, it's 5x=60
Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:
x=12
Hope this helped!
Answer: b) x = 12
Step-by-step explanation:
The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.
Given:
(50°) + (75°) + (5x - 5°) = 180°
Combine similar terms:
120° + 5x = 180°
Subtract 120° from both sides of the equation:
5x = 60°
Divide both sides of the equation by 5:
x = 12
Your answer is;
b) x = 12
The point {1, 2} is reflected over the x-axis. Where is the location of the new
image?
A (-1, -2)
B(1.-2)
C(-1,-2)
D (-1,2)
E(2, -1)
Assume that the salaries of computer programmers are normally distributed, with a mean of $66,000 and a standard deviation of $14,000.
If four programmers are selected at random, find the probability that they have a mean salary between $40,000 and $50,000.
a) 0.52
b) 0.09
c) 0.26
d) 0.01
The probability that they have a mean salary between $40,000 and $50,000 is 0.01.
What is Z- score test?A z-test is a statistical test to determine whether two population means are different when the variances are known and the sample size is large.
The z-score for 40,000 is
= (40,000 - 66000) / (14,000 / √4)
= -26000/7000
= -3.714, P- value is 0.000102
The z-score for 50,000
= (50,000 - 66,000) / (14,000 / √4)
=-2.285, P- value is 0.0111564
P(40,000 < x < 50,000) = P( -3.714< z < -2.285)
So,
= P(50,000)-P(40,000)
= 0.0111564-0.000102
=0.011
Hence, the probability that they have a mean salary between $40,000 and $50,000 is 0.01.
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What is the solution to the equation below?
Answer:
X=4
Step-by-step explanation:
The solution is in the file
This season, the probability that the Yankees will win a game is 0.61 and the
probability that the Yankees will score 5 or more runs in a game is 0.56. The
probability that the Yankees win and score 5 or more runs is 0.44. What is the
probability that the Yankees will lose when they score fewer than 5 runs? Round your
answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
ProbabilityGiven that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:
1 - 0.61 = 0.391 - 0.56 = 0.440.39 x 0.44 = X0.1716 = XTherefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.
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Answer: The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%
Step-by-step explanation:
Which expression is equivalent to (2q - 8) - (2q - 7)
The equivalent expression is -1
2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.
Answer:
1. 8
2. 24
Step-by-step explanation:
The number of persons that drink grape milk only :
18 - 10 = 8
The number of persons that drink coffee :
42 - 8 = 34
The number of persons that drink coffee only :
34 - 10 = 24
what is the mean of 10,16,14,12and 16?show the solution pls...
Answer:
13.6Step-by-step explanation:
what is the mean of 10,16,14,12and 16?
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
10 + 16 + 14 + 12 + 16 = 68
68 : 5 = 13.6
or
(10 + 16 + 14 + 12 + 16) : 5 = 13.6
Every day, Jason runs for 35 minutes and lifts weights for 49 minutes. How many minutes will Jason spend working out in 8 days?
A. 280
B. 672
C. 92
D. 392
Answer:
B. 672
Step-by-step explanation:
First, Add. 35 + 49 = 84
Multiply. 84(minutes) x 8(days)
= 672
Bonus! ^^ 672 minutes = 11.2 hours
PLEASSEEEE HELP ASAP , WHAT IS THE SHAPE OF THE BASE AND SURFACE AREA?
Answer:
Total surface area : 733
The shape of the base is a rectangle with sides 11 in. and 12 in.
Step-by-step explanation:
The shape of the base is a rectangle with sides 11 in. and 12 in.
The surface area is the sum of the areas of the 5 sides.
Area of the base = 11*12 = 132
Area of the two triangles = (11*16)/2 = 88
Area of the back rectangle = 192
The theorem of Pitagora to find the oblique side: square root of (11*11 + 16*16)= 19.42 in.
So the area of the oblique face: 19.42* 12 = 233 (almost :) )
So total surface area: 132 + 88*2+192+233= 733 square in
Can someone answer theese 3 questions.
Answer:
1.) A
2.) D
3.) A
Step-by-step explanation:
Which polynomial represents twice the sum of -5x^2-x+6 and 7x^2+x-1?
1) 2x^2+5
2) 4x^2+10
3) 4x^2+5
4) 2x^2 + 10
The polynomial that represent twice the sum of [tex]-5x^{2}[/tex] - x +6 and 7[tex]x^{2}[/tex] + x -1 is : 4[tex]x^{2}[/tex]+10
What is a polynomial?
A polynomial is any algebraic expression that has the least value of the power of its variable as 2.
When the highest value of the polynomial is 2, it is a called a quadratic expression.
Analysis:
2( -5[tex]x^{2}[/tex] -x +6 + 7[tex]x^{2}[/tex] +x -1)
2( 2[tex]x^{2}[/tex] + 5) =
4[tex]x^{2}[/tex] + 10
In conclusion, the polynomial that represents the above expressions is 4[tex]x^{2}[/tex] + 10
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When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
C. Component parts
D. Tactical parts
You should break down complex skills into component parts when learning a complex performance or movement pattern.
What does it mean to learn complex skills?
Complex skills could be made up of several components. This makes it difficult to engage in these kind of activities without first undergoing extensive training.
As a result, you should break down complex skills into component elements when learning a complex performance or movement pattern.
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Volume of 15 ft 13ft and 8ft
Answer: 1560
Step-by-step explanation:
15 x 13 = 195 and 195 x 8 = 1560
if x/5 + 6 = -14, then x =
Answer:
The answer is (-100).
Step-by-step explanation:
Given;x/5 + 6 = -14To Find;The value of xNow,
x/5 + 6 = -14
Cross multiplication
x + 5 × 6 ÷ 5 = -14
x + 30/5 = -14
Multiply 5 both sides we get,
x + 30/5 × 5 = -14 × 5
x + 30 = -70
x + 30 – 30 = -70 – 30
x = -100
Thus, The value of x is (-100).
Answer:
[tex]\huge\boxed{\sf x = -100}[/tex]
Step-by-step explanation:
Given Equation:
x/5 + 6 = -14
Subtract 6 to both sides
x/5 = -14 - 6
x/5 = -20
Multiply 5 to both sides
x = -20 × 5
x = -100
[tex]\rule[225]{225}{2}[/tex]
on Math 5/4-Homeschool
(Inv. 4)
3. Angela ran 100 meters in twelve and fourteen hundredths
seconds. Use digits to write her time for 100 meters. . I NEED HELP
Rewrite the following expression with no exponent.
Answer:
49/9
Step-by-step explanation:
[tex](3/7)^-2=((37)^2)^-1=(3^2/7^22)^-1=(9/49)^-1=49/9[/tex]
I hope this helps!
The points P(6,-3), Q(-2,3), R(-5, -1), and S(3,-7) form quadrilateral PQRS. what type of quadrilateral is it?
harriet took 48 minutes to ride her bike the distance from her house to the town library. if she rode at a constant rate, what fraction of the total distance did she ride in the first 12 min
Answer:
1/4
Step-by-step explanation:
If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.
if you are standing at the cup cake table in which direction must you walk to find the swings
Based on the treasure map, a person standing at the cup cakes table must walk in the North direction to find the swings.
What is a compass?A compass simply refers to a scientific instrument that is made up of a magnetized pointer (needle), which is typically used to show and find the following four (4) main cardinal directions on a map:
North (N)South (S)West (W)East (E)Based on the treasure map in the image attached below, a person standing at the cup cakes table must walk in the North direction to find the swings.
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A car leaves Town A for Town B, which are 550 km apart, at an average speed of
72 km/h. At the same time, a truck leaves Town B for Town A and travels along
the same road as the car at an average speed of 38 km/h. Find the time taken for the
two vehicles to meet.
Answer:
It will take 4 hours for the two vehicles to meet
Step-by-step explanation:
Complete the statement.
The polynomial function f(x) =_____.
(x + 2)(x - 2)(x + 13)
(x + 2)(x + 3)(x - V3)
(x - 2)(x + 13)(x - 13)
(x + 2)(x - 2)(x + 13)(x - 13)
(x - 2)+ √3
Answer:
b
Step-by-step explanation:
Because i know
What is 6 + pi + 7 to the 6th power. ( 6 + 3.14 + 7 + 7^6)
Hey there!
(6 + 3.14 + 7 + 7^6)
= 6 + 3.14 + 7 + 7^6
= 9.14 + 7 + 7^6
= 16.14 + 7 * 7 * 7 * 7 * 7 * 7
= 16.14 + 49 * 49 * 49
= 16.14 + 2,401 * 49
= 16.14 + 117,649
= 117,665.14
Therefore, the answer should be:
117,665.14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Need help on telling which ones are similar and not similar please and thank you!
A and B are Similar
B and C are not Similar
A and C are not Similar
--
Square A and B use numbers in the tens whilst square C used 72 not tens and because A and B you add 20 to both sides and then they are equal.
Terry buys 8 comic books and
3 computer games for $76. Annie
buys 1 comic book and 3 computer
games for $41. Write the system
of equations that describes this
situation and solve it to find the
cost of one comic book and one
computer game.
Answer:
5 per comic book and 12 per computer game hope this helps.
Answer:
Step-by-step explanation:
8x + 3y = 76
x + 3y = 41
8x + 3y = 76
-x - 3y = -41
7x = 35
x = $5 comic book
3y + 5 = 41
3y = 36
y = $12 computer game
The five number summary of a dataset was found to be:
45, 52, 56, 61, 69
Step-by-step explanation:
Given the five summary of a data set:
45 - min
52 - Q1
56 - Median
61 - Q3
69- Max
Thus, any number less than Q1-(1.5×IQR)
, or any number that is greater than
Q3+ (1.5 × IQR) would be considered an outlier.
The IQR of the data set = Q3 - Q1 = 61-
52 = 9
Thus,
Q1- (1.5 × IQR) =52- (1.5* 9) = 52 - 13.5=38.5
Therefore, an observation is considered
an outlier if it is below: 38.5
Q3 + (1.5 * 1QR) = 61 + (1.5 * 9) =61+13.5 =74.5
Therefore, an observation is considered
an outlier if it is above: 74.5
7. If y varies jointly with x and z, and y = 24
when x = 4 and z = 3, what is the value of y
when x = 12 and z = 4?
=
Answer:
Step-by-step explanation:
Using formula y=kxz
so,
24=k*4*3
k=2
so if we put x=12 and z=4,
y=2*12*4
y=48