Answer:
69
Step-by-step explanation:
drey makes 10$ an hour plus 15$ an hour for every hour of overtime . overtime hours are any hours more than 40 hours for the week
Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week
Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.
Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours
i hope this helps you good luck :)
3km: 500m in lowest terms.
Answer:
6:1Step-by-step explanation:
To write 3km: 500m in its lowest terms. we need to make sure the units are the same.
Converting 3km to metres:
Since 1km = 1000m
3km = (3*1000)m
3km = 3000m
The expression becomes 3000m:500m
3000m:500m = 3000/500
3000m:500m = 6*500/500*1
3000m:500m = 6/1
Hence 3km: 500m in its lowest term is 6:1
Evaluate: 1/3(-15 + 3/2)
Answer:
-4.5 is correct answer
Step-by-step explanation:
[tex] \frac{1}{3} ( - 15 + \frac{3}{2} ) \\ = \frac{1}{3} ( \frac{ - 30 + 3}{2} ) \\ = \frac{1}{3} ( \frac{ - 27}{2} ) \\ = \frac{ - 9}{2} [/tex]
hope it helped you:)
Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.
Answer: y=1/4x + 4
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6 and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.
(-4,3) the x coordinate is -4 and the y coordinate is 3
3 = 1/4(-4) + b
3 = -1 + b
+1 +1
b= 4
The y intercept is 4 so the equation will be y=1/4x + 4
Chris says that is halfway between 0.5 and 100%.
Is Chris correct? You must explain your answer
Answer:
yes because 0.5 is 50%
Step-by-step explanation:
List the following numbers in descending order.
13.5%, 1315, 13.09, 13
Answer:
1315, 13.09, 13, 13.5%.
Step-by-step explanation:
13.5% is less than 1 because 100% = 1.
Find the error american car produce 5,650,000 cars each year.In a report,ben wrote that americans made 6,550,000 cars.What mistake did ben make how can he fix it
Answer:
The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.
He can fix it by correcting the wrong numbers.
Step-by-step explanation:
American car produce 5,650,000 cars each year.
When writing a report Ben wrote down that americans produce 6,550,000 cars every year
Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.
Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.
Hence, doing this will give him the correct number of cars which is 5,650,000 cars.
Ifj=k, then k =j what is the property?
Answer:
See below.
Step-by-step explanation:
So we have:
[tex]\text{if }j=k\text{ then } k=j[/tex]
This is an example of the symmetric property. The equation remains true every if you flip them.
(01.05 MC)Which fraction is equivalent to 2 over negative 6?
Answer:
1/(-3)
Step-by-step explanation:
Simplify the following:
2/(-6)
Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.
The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):
Answer: 1/(-3)
Simplify 2squareroot -19+44
-19+44
-361+1936
1575
therefore 2 squareroot-19+44
=1575
It the twelvth,85th and the last term of an arithmetic sequence are 38,257 and 395 respectively. Calculate how many terms are there in the sequence
Answer:
131
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 38 and a₈₅ = 257 , then
a₁ +11d = 38 → (1)
a₁ + 84d = 257 → (2)
Subtract (1) from (2) term by term
73d = 219 ( divide both sides by 73 )
d = 3
Substitute d = 3 into (1)
a₁ + 11(3) = 38
a₁ + 33 = 38 ( subtract 33 from both sides )
a₁ = 5
Thus
5 + 3(n - 1) = 395 ( subtract 5 from both sides )
3(n - 1) = 390 ( divide both sides by 3 )
n - 1 = 130 ( add 1 to both sides )
n = 131
Thus there are 131 terms in the sequence
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, Great Oaks Trail or Salamander Trail?
Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
Which graph represents the solution to the inequality y is less than or equal to 1/2x -4
Answer:
the graph you are looking for should look like this!
Step-by-step explanation:
hope this helped!
(hint* if you are ever in trouble use desmos! its a free online graphing calculator and HELPS SOO much! its what i used to give you the answer, i just typed in the inequality and it tells you the answer)
The shaded region represents the possible solutions of the inequality.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the inequality -
y ≤ (1/2)x - 4
Refer to the graph of the inequality attached. It is showing the inequality being plotted. The shaded region represents the possible solutions of the inequality.
Therefore, the shaded region represents the possible solutions of the inequality.
To solve more questions on equations, expressions and polynomials, visit the link below -
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Naja is paid p dollars per hour she works. For every hour she works over 40 hours, she is paid time and a half which means she is paid 1.5 times her normal hourly rate. She worked 50 hours last week. The following is a model of this situation.
Answer:
40p + 10 (1.5p)
Step-by-step explanation:
= 40 · p + (50-40) · (1.5p)
= 40p + 10 (1.5p)
At the start of the day there was £129.75 in the till. One hour later there is £145.50. How much money did the shop make in an hour?
Answer:
£15.75
Step-by-step explanation:
£145.50 - £129.75
Answer:
The shop keeper made 15.75$ in an hour.
Step-by-step explanation:
Minus 129.75-145.50
86.23 ounces -67.74 ounces
Answer:
18.49 ounces
Step-by-step explanation:
Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find r, the number of miles that Rhonda biked. Which are part of the solution? Check all that apply.
Answer: The correct answer would be B,D,E
Step-by-step explanation: I AM TAKING THE TEST
Round 452,489 to the nearest thousand.
O 500,000
0 453,000
450.000
452.000
6x>-18 HELPPPPP!!! PLEASEEEE
Answer:
Hey there!
6x>-18
Divide by 6 on both sides
x>-3
Let me know if this helps :)
(a 2− b) ÷ 6; use a = 5, and b = 1
Help please. what is 6=3x²
Answer:
x=√2 or x=−√2
Let's solve your equation step-by-step.
6=3x2
Step 1: Subtract 3x^2 from both sides.
6−3x2=3x2−3x2
−3x2+6=0
Step 2: Subtract 6 from both sides.
−3x2+6−6=0−6
−3x2=−6
Step 3: Divide both sides by -3.
−3x2
−3
=
−6
−3
x2=2
Step 4: Take square root.
x=±√2
x=√2 or x=−√2
Combine like terms.
2y2 – 5+1 + 2y2 – 6y2 – 3 – 4y
ASAP
someone help please
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
Answer:
3x 2 + 19 i think thats the answerWhat types of symmetry does a triangle have
Answer:
Equilateral Triangle, Isosceles Triangle, Scalene Triangle
Step-by-step explanation:
Equilateral: 3 lines of symmetry
Isosceles: 1 line of symmetry
Scalene: no lines of symmetry
Can someone answer this
Answer:
y=2/3-4
Step-by-step explanation:
which one that doesn’t belong ? 1/20, 20/25, 2/3, 5,4
Need help!!
Answer:
5/4
Step-by-step explanation:
1/20, 2/3, and 20/25 do not have a whole number that could fit in them when 5/4 does (1 1/4) so when all the other fractions can't have a whole number fit in, 5/4 or 1 1/4 does.
The fraction 5/4 does not belong to.
What is a fraction?A fraction is a quantity which is not whole number. In the mathematical expression, a fraction usually has a numerator and a denominator.
The numerator is the number top of the fraction. While the denominator is the number below of the fraction.
for example, a fraction is = 3/8
where 3 is the numerator while 8 is the denominator
A proper fraction is a fraction in which the numerator is smaller than the denominator in value .
For an example is 3/7
An improper fraction is a fraction in which the numerator is greater than the denominator in value.
For an example is 7/3
Here given in the options, 1/20, 20/25, and 2/3 are proper fractions because their numerator is smaller than the denominator in value. (as 1<20, 20<25, 2<3)
But 5/4 is an improper fraction as numerator is greater than the denominator in value.
So 5/4 does not belong to because it is an improper fraction while others are the proper fraction.
Learn more about proper and improper fraction
here: https://brainly.com/question/2445936
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Use the graph of the floor function to complete the statements. Over the interval , y = 2. For an input value of –1.5, the corresponding output value is
Answer:
over the interval [2,3)
for an input value of 1.5, the corresponding output value is -2
Step-by-step explanation:
HELP PLEASE this is for math
Answer:
70
Step-by-step explanation:
Step 1:
a² + b² = c²
Step 2:
56² + 42² = 4900
Step 3:
4900 ÷ 70 = 70
Answer:
70
Hope This Helps :)
Write the inverse of h(x) = e 2x
h -1(x) =
log e2 x
2log ex
½log ex
Answer:
C
Step-by-step explanation:
We are given the function.
[tex]h(x)=e^{2x}[/tex]
And we want to find its inverse.
Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:
[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]
In conclusion, our answer is C.
Note:
[tex]\ln(x)=\log_ex[/tex]
Pls help me quickly
Answer:
[tex] {9}^{3} [/tex]
Step-by-step explanation:
[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]
Write the three next natural numbers after 10999