1. you are asked to find how many weeks it would take Alex to work 51 hours.
2. Alex works [tex]3\frac{1}{7}[/tex] weeks.
3. It makes sense in fractional from.
What is fraction?In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
Alex works 3 hours a day and 4 days a week.
Alex works in a week = ( 3×4) hour = 12 hour
Alex works = 51 hours = 48 hours + 3 hours = (48/12) weeks + 1 day
= 3 weeks and 1 day.
= [tex]3\frac{1}{7}[/tex] weeks.
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In a basket there are 18 tomatoes, 12 potatoes, and 8 carrots.identify the ratio of carrots and potatoes to tomatoes in all 3 forms.
Answer:
Step-by-step explanation:
Answer: 10:9, 10/9, 10 to 9.
Step-by-step explanation:
Research studies show that the relationship between the tire pressure of a vehicle’s tires and the life of the tires is quadratic. The following table shows the recommended tire pressure of a car’s tires (in pounds per square inch) and its anticipated tire life (in thousands of miles).
Tire Pressure Tire Life
29 46.8
32 57.6
34 58.8
36 60.0
38 58.8
40 57.0
42 52.8
Use a graphing or online regression calculator to find the quadratic function of best fit for this set of data. What is the value of a in this function?
-0.240947
-2.40947
-0.00240947
-0.0240947
Answer:
-2.40947
Step-by-step explanation:
Here is a trapezium drawn on a centimetre grid (not drawn to scale) work out the area of the trapezium, stating the units of your answer
Answer: the answer is 21 squared
Answer:
21cm²,22cm (write both of them. they give you the total marks.)
Step-by-step explanation:
6 × 46 = 24 × 16
True
True
False
False
Answer:
False
Step-by-step explanation:
6x46 = 276
24x16 = 384
Free
1+2
freeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
lol yes
(0.4+ 1.6) x 6 what is it please help
Answer:
12
Step-by-step explanation:
(0.4+ 1.6) x 6 = 2 x 6 = 12
Answer:
12
Step-by-step explanation:
(0.4 + 1.6) x 6
(2) x 6
12
Select the graph that correctly displays the solution of the system of inequalities. y > 2x – 4 y ≤ –x – 7
The solution to the system of given inequalities is (-7, 0).
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given system of inequalities are y> 2x-4 and y≤ -x-7.
The solution of the system of inequalities is the intersection region of all the solutions in the system.
x<y/2 +2 and x≤-y-7
The solution of the system of inequalities is (-7, 0)
Therefore, the solution to the system of given inequalities is (-7, 0).
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A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth.
Answer: 12.65 ft
Pythagorean theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
So, [tex]a^{2}[/tex] + [tex]3^{2}[/tex] = [tex]13^{2}[/tex]
169 - 9 = 160
[tex]\sqrt{160}[/tex] is 12.65.
Hope it helps.
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?
○ y=-6x+4/5
O y=4/5x-6
O y=4/5x+6
Oy=6x+ 4/5
Answer: y= -6x+4/5
Step-by-step explanation: We will compare these equations with standard form y=mx+c where m is the slope of the line and c is the y-intercept.
for line y= -6x+4/5
on comparing with y= mx+c
we have m= -6 and c= 4/5.
So, the first option is correct.
When fitting a pipe into an existing fitting it allows a diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005" what's the maximum allowable pipe diameter? a. 0.496, b. 0.501, c. 0.499, d. 0.541
Considering that the diameter variance of 0.001". If the interior diameter of the pipe is 0.49" and the pipe thickness is 0.005". the maximum allowable pipe diameter is 0.501''
How to find the maximum allowable pipe thicknessThe maximum allowable pipe diameter is calculated by
finding the total thickness of pipe
= interior diameter + 2 * pipe thickness
= 0.49 + 2 * 0.005
= 0.49 + 0.01
= 0.50
The diameter variance gives the range of the allowable diameter to ± 0.001 for maximum allowable pipe diameter we use + 0.001
hence
= 0.50 + 0.001
= 0.501
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Find the 8th term of the geometric sequence 3, 12, 48, ...
In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects? Represent the
above information in a Venn-diagram.
Answer:
janajaaajwjjwwjwjwuwjwjjw
There is concern that increased industrialization may be increasing the mineral content of river water. Ten years ago, the silicon content of the water in a certain river was 5 mg/L. Eighty-five water samples taken recently from the river have mean silicon content 5.4 mg/L and standard deviation 1.2 mg/L. a. Find the P-value. b. Do you believe it is plausible that the silicon content of the water is no greater than it was 10 years ago
Answer:
a) P value = 0.0013
b) No, it is not plausible that the silicon content of the water is no greater than it was 10 years ago
Step-by-step explanation:
The null hypothesis here is “Mean is equal to 5” while alternate hypothesis is that “Mean is greater than 5”
Given
Mean = 5, x’ = 5.4 and sigma = 1.2 and n = 85
Z = x-u’/sigma/sqrt n
Substituting the given values, we get –
Z = 3.02
A) P value = 0.0013 which is less than 0.05 and thus we will reject the null hypothesis
B) There is enough evidence to reject the null hypothesis
Given: AE = 3, CE = 5 and ED is 4 less than EB find EB. Please give a step-by-step explanation. The best answer will receive brainliest (50 pts)
Answer:
EB = 10
Step-by-step explanation:
For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:
CE * ED = AE * EB
(This is applied specifically to this problem)
We can substitute the values given,
5 * (x - 4) = 3 * x
simplify,
5x - 20 = 3x
and solve.
2x - 20 = 0
2x = 20
x = 10
Since the value of EB is x, EB = 10.
the chef mixes 12 tablespoons of flour to 8 tablespoons of sugar what fraction of the mixture is sugar.
Answer:
2/5
Step-by-step explanation:
To find the fraction that is sugar,
part sugar/ total
The total is sugar + flour = 8+12 = 20
8/20
We can simplify
Divide the top and bottom by 4
8/4 =2
20/4 = 5
The fraction is 2/5
Answer:
[tex]\sf\frac{8}{20}[/tex]
Step-by-step explanation:
First let us find the total.
Total = Flour + Sugar
Total = 12 + 8
Total = 20
Now we know that, there are 8 tablespoons of sugar in the whole mixture.
So, write it as a fraction, you have to divide the number of tablespoons of sugar by the total.
Sugar = 8/20
In the figure below, a surveyor put stakes at the lettered points. He used string to determine lengths of line segments and a transit to check that the angles at D and B were both right angles.
If CD = 3, CE = 5, DE = 4 and DB = 18, and:
AB/DB=BC/CD
AB =
units.
The length of segment AB is given as follows:
AB = 20 units.
What are similar triangles?Similar triangles are triangles that share these two features given as follows:
Congruent angle measures.Proportional side lengths.The similar triangles for this problem are given as follows:
ABD and CDE.
Hence the proportional relationship that can be established between the side lengths is given as follows:
AB/DE = BC/CD = AC/CE.
The side lengths are given as follows:
CD = 3, CE = 5, DE = 4, DB = 18.
As CD = 3 and DB = 18, using the segment addition postulate, we have that:
BC = BD - CB
BC = 18 - 3
BC = 15 units.
Hence the length AB is obtained as follows:
AB/4 = 15/3
AB/4 = 5
Applying cross multiplication, we have that:
AB = 4 x 5
AB = 20 units.
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I need to figure out how to do linear fuctions... If I could get help that would be great, thanks.
Answer:
linear function can be found by looking at a linear graph and determining the equation of the line and converting that equation into a function.Step-by-step explanation:
The steps to do this are: Find the y-intercept (this is equal to b in the formula) Find the slope of the line (this is equal to m in the formula)
A new pair of shoes you would like to purchase is 65% off. If you paid $135 for the shoes, how much was the original cost?
Solving the equation the original cost of the shoes before the discount will be obtained as $385.
To find the original cost of the shoes before the discount, you can use the following equation:
original cost = final cost÷ (1 - discount percentage)
In this case:
original cost = $135 ÷ (1 - 0.65)
To find the final cost you need to multiply 135 by 1 - 0.65.
0.65 is the equivalent to 65% when it's represented as a decimal.
0.65 represents the proportion of the original price that was removed (65% or 0.65)
So:
original cost = $135 ÷ (1 - 0.65)
original cost = $135 ÷ (1 - 0.65) = $135 ÷ 0.35 = $385
The original cost of the shoes before the discount was $385.
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Evan and two friends go to a farm to pick strawberries. Evan records the number of baskets of strawberries that each person picks in a table.
Evan forgot to record how many strawberries he picked, but he knows that it was the same amount as Jerry and Ann combined.
Jerry: 2 1/3
Ann: 3 1/3
Answer:
5 2/3
Step-by-step explanation:
Hope it helps plz give brainliest ! :D
Please help will mark Brainly
Answer:
they are intersecting.. so, there's one solution. the ordered pair is (-1,4).
PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what is 26.75 rounded to the nearest 10th? Show your work/explain.
Answer:
26.8
Step-by-step explanation:
you round up 5 and make the 7 an 8
Answer:
26.8
Step-by-step explanation:
The number after the decimal is the "tenth" and any number that is five or larger, you would round up. The number to the right of the tenth is 0.05 which is equal to five so you would round up. Hence the answer 26.8
What is the sum of 15 and the product of 5 and v
Answer:
15+5=v
Step-by-step explanation:
Solve
1. Add the numbers
15+5 = v
20 = v
2. Move the variable to the left
20 = v
v = 20
3. Solution
v = 20
A students wants to write an expression for, all of the elements which are not in set A. Which expression below matches the statement A. NA (B) B (C) -A (D) A’
The expression A' represents the statement for all of the elements which are not in set A.
What is Set?A set is a collection of well defined objects.
Given that A students wants to write an expression for all of the elements which are not in set A.
The elements within set A are denoted by A.
We have to find all of the elements which are not in set A.
U represents the universal set and A is the given set.
A'=U-A
Hence, the expression A' represents the statement for all of the elements which are not in set A.
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$29, $58, $15, $75, and $22. Find the mean absolute deviation
The mean absolute deviation of $29, $58, $15, $75, and $22 is $32.67.
How to calculate the mean deviation?The average (mean) distance between each data value and the data set mean is known as the mean absolute deviation, or MAD. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It provides insight into a dataset's variability.
From tje information, it should be noted that the mean will be:
= (29 + 58 + 15 + 129+ 75 + 22) / 6.
= 54.67
Means absolute deviation = 1/6+25.67 + 3.33 - 39.67 + 74.33 + 20.33 + 32.67)
= 32.67
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Complete question
Find the mean absolute deviation of the fulfilled items on Sherrie's registry: $29, $58, $15, $129, $75 & $22.
Joseph bicycled 3 miles farther than Nickeisha. The sum of the distances they bicycled was 25 miles. How far did Nickeisha bicycle
Answer:
11 miles
Step-by-step explanation:
Let Nickeisha's distance be x
and Joseph's distance be x+3
x+(x+3) = 25
2x+3 = 25
2x=22
x=11
Nickeisha biked 11 miles.
can someone help me solve this equation? will give brainliest
Answer:
x=20
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
Add 47 to both sides of the equation:
4 = x/5
Multiply both sides of the equation by 5:
x = 20
Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. Only half of all mice complete one particular maze in less than 18 seconds. A research thinks that a loud noise will cause the mice to complete the maze faster. She measures the proportion of 40 mice that completed the maze in less than 18 seconds with noise as a stimulus. The proportion of mice that completed the maze in less than 18 seconds is . The hypotheses for a test to answer the researcher's question are
a) H0: p = 0.5, Ha: p ≠ 0.5.
b) H0: p = 0.5, Ha: p < 0.5.
c) H0: p = 0.5, Ha: p > 0.5.
Answer:
Option c (H0: p = 0.5, Ha: p > 0.5) is the correct option.
Step-by-step explanation:
According to the question,
p = 0.5
We must check whether in less than 18 seconds the percentage including all razer mice finish a certain labyrinth is above half, which would be p > 0.5. It's over 1/2 the mouse with much less than 18 seconds to finish the maze.Throughout null H0, humans assert that the percentage of the particular period seems to be equivalent to that specified as well as that beneath theoretical frameworks, this same percentage is always < (less than) or > (greater than) or doesn't equal to the category as per the hypothesis matter.The other given alternatives aren't related to the given explanation or the conditions. So the above is the right option.
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
$6.33
Step-by-step explanation:
42.40 x 0.15 = $6.33
8+ ((3² x 6)- 18) ÷ 9
Please complete part A.+ B. And show all work. Thank you for your help.