Step-by-step explanation:
When someone receives a "pay raise", that means that their income/salary increases.
Jerold earns $865 in one week. He receives a 25% pay raise. That means his income has increased by 25% of what he currently earns in one week. We can calculate the percentage of something by converting that percent into a decimal and multiplying it with the value that percent is being applied to.
We can do this two ways.
The first way, we can convert 25% into 0.25, and multiply that with 865:
0.25 × 865 = 216.25
Then, we add $216.25 to Jerold's old salary, $865:
$865 + $216.25 = $1081.25
The second way does everything in one step. When you multiply a number by 1, you always get that same number for the answer.
1 × 33 = 33, 1 × 382 = 382...
So, instead of multiplying by 0.25 and then adding that to Jerold's old salary, we can multiply by 1.25 instead (1, his original salary, + 0.25, the difference between his old and new salary),.
1.25 × $865 = $1081.25.
You can use either method to calculate the answer, but the second method is more efficient.
The required equation model to determine the new weekly pay rate is x = 865[1 + 25%] or x = 865[1.25].
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Jerold's weekly pay rate is $865. He receives a 25% pay raise.
Let the new weekly pay rate be x,
According to the question,
x = 865 + 25% of 865
x = 865[1 + 25%]
x = 865[1.25]
x = $1081.25
Thus, the required equation model to determine the new weekly pay rate is x = 865[1 + 25%] or x = 865[1.25].
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Solve 2x + 5 = 12
what’s the what is x
Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
2x + 5 = 12 ( subtract 5 from both sides )
2x = 7 ( divide both sides by 2 )
x = [tex]\frac{7}{2}[/tex] [ or x = 3.5 ]
determine if the following lengths make a triangle 6,3,7
Answer:
Yes
Step-by-step explanation:
The rule is that if a+b>c, then it's a triangle. In this case, 6+3>7, so it's a triangle. The hypotenuse (7) should always be the largest of the sum of the two side lengths.
Answer:
Yes, the lengths will create a triangle.
Step-by-step explanation:
6 + 3 = 9 > 7
3 + 7 = 10 > 6
6 + 7 = 13 > 3
If the combination of any lengths is greater than the remaining length, then the lenghts will create a triangle.
Consider the sequence of numbers: 3/8, 3/4, 1 1/8, 1 1/2, 1 7/8. . . Which statement is a description of the sequence?
Answer:
The sequence is recursive and can be represented by the function f(n + 1)= f(n) + 3/8
Step-by-step explanation:
i got it right on the assignment
Use the number line to help you decide which statement is true.
Answer:
A
Step-by-step explanation:
because 1/2 = 4/8
and 5/8 is greater than 4/8
The number line is the representation of numbers in real order.
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
Example: Number line from -4 to 4.
-4__-3__-2__1__0__1__2__3__4
We have,
5/8 > 1/2
5/8 = 1/2
5/8 < 1/2
5/8 = 0.625
1/2 = 0.50
We see that,
0.625 > 0.50
So,
5/8 must be greater than 1/2
i.e
5/8 > 1/2
We can also find the relation between 5/8 and 1/2 in this way.
5/8 = 1/2
Cross multiply.
5 x 2 = 8
10 = 8
10 is greater than 8
So,
5/8 is greater than 1/2
5/8 > 1/2
Thus,
5/8 = 0.625
1/2 = 0.50
5/8 is greater than 1/2.
Option A is the correct answer.
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What is
6 / 2 ( 1 + 2 )
6 divided by 2 ( 1 + 2 )
Answer: 9
Step-by-step explanation:
Es una operación combinada, cuando hay una operación en un paréntesis significa que se hace primero que todo
What is the value of x in the equation 4(2x + 12) = 0? (1 point) Group of answer choices −8 −6 6 8
Answer:
Step-by-step explanation:
4(2x+12)=0 work the () first
8x+48=0 subtract 48 to both sides to get the x by itself
8x=-48 divide by 8
x= -6
Write down in terms of n, an expression for the nth term of the following sequences: a) 1 8 15 22 29 B) 12 16 20 24 28
A)
Sequence: 1 , 8 , 15 , 22 , 29
Difference : 7
Back one : -6
Expression : 7n-6
B)
Sequence: 12 , 16 , 20 , 24 , 28
Difference : 4
Back one : 8
Expression : 4n+8
A sequence is an ordered list of elements with a specific pattern.
The nth term of the sequence:
A) 1 8 15 22 29 is [tex](n-1)^{th}[/tex] + 7.
B) 12 16 20 24 28 is [tex](n-1)^{th}[/tex] + 4.
What is a sequence?A sequence is an ordered list of elements with a specific pattern.
Example: 2, 5, 8, 11, ... is a sequence where each term is obtained by adding 3 to its previous term.
We have,
a) 1 8 15 22 29
1 + 7 = 8
8 + 7 = 15
15 + 7 = 22
22 + 7 = 29
We see that each term is obtained by adding 7 to the previous term
So, the nth will be in the form:
nth = [tex](n-1)^{th}[/tex] + 7
b) 12 16 20 24 28
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
2 + 4 = 28
We see that each term is obtained by adding 4 to the previous term.
So, the nth term will be in the form:
nth = [tex](n-1)^{th}[/tex] + 4
Thus the nth term of the sequence:
1 8 15 22 29 is [tex](n-1)^{th}[/tex] + 7.
12 16 20 24 28 is [tex](n-1)^{th}[/tex] + 4.
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Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
Im in 7th Grade btw :/
Part B: Explain in words, what Clay should do to get his account balance to zero?
Answer:
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
This is only ans...Which answer shows 0.05 for in in scientific notation
A cat casts a 32-inch shadow at the same time a nearby flower casts an 8-
inch shadow. If the flower is 3 inches tall, how tall is the cat?
Answer:
the cat is 27 inches tall
Step-by-step explanation:
the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches
The customer must first pay an annual 300 a ductile in the policy covers 70% of cost of x-rays the first Insurance claim for Pacific year submitted by a person or two X-Rays the first x-ray cost 6:40 and the secondary x-ray cost 950 how much in total will he need to pay for these x-rays
Answer:
$177
Step-by-step explanation:
Given that:
Percentage covered by policy = 70%
Hence, person needs to pay (100 - 70)% = 30%
X - Ray cost :
1st = 640
2nd = 950
Total cost = (640 + 950) = 1590
Amount the person has to pay:
Total cost * 30%
1590 * 0.3 = $477
Since the person has $300 deductible :
$477 - $300 = $177
Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday how many hours did she work on the project Tuesday and Friday combined?
Answer: 4.25 hours
Step-by-step explanation:
From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.
The total number of hours she worked on the project Tuesday and Friday combined will be:
= 2.5 hours + 1.75 hours
= 4.25 hours
Answer:
4.25
Step-by-step explanation:
Step-by-step explanation:
From the question, we are informed that Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday.
The total number of hours she worked on the project Tuesday and Friday combined will be:
= 2.5 hours + 1.75 hours
= 4.25 hours
is the relation a function? explain
All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output.
The dataset below represents the population densities per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range?
Answer:
The Interquartile range is 188
Step-by-step explanation:
Missing Data:
1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
Required
Determine the Interquartile range (IQR)
The given data is ordered already.
First, we need to determine the median
For odd number of data
Median = ½(n + 1)th
In this case, n = 15; so
Median = ½(15 + 1)th
Median = ½(16)th
Median = 8th
This implies that the median is at the 8th position.
So, we have:
1,19,35,43,49,55,63 ----> Lower
(94) ---- Median
105,110,175,231,239,351,738 ---- Upper
Next, we determine the median of the lower and upper sets.
These are called lower quartile (Q1) and upper quartile (Q3) respectively
Lower: 1,19,35,43,49,55,63
Number of data, n = 7
Q1 = ½(n + 1)th
Q1 = ½(7 + 1)th
Q1 = ½(8)th
Q1 = 4th position
From the list of data in the lower set,
Q1 = 43
Upper: 105,110,175,231,239,351,738
Number of data, n = 7
Q3 = ½(n + 1)th
Q3 = ½(7 + 1)th
Q3 = ½(8)th
Q3 = 4th position
From the list of data in the upper set,
Q3 = 231
IQR is then calculated as thus:
IQR = Q3 - Q1
IQR = 231 - 43
IQR = 188
What is the y-intercept of the graph below?
A. 0,-1)
B. (0,1
C. (0, -0.5)
D. (0,0.5)
Answer:
There is no gragh.
plz help me solve this
solve It with Pythagoras theorem
u will get 60 points if u ans correct
Answer:
x = 4√2 or ≈ 5.66
Step-by-step explanation:
AB = √5²-3² = √16 = 4AB=AC ⇒ BC = AB√2 x = 4√2 ≈ 5.66PLEASE HELP what type of angles are 7 and 8?
7 is acute, and 8 is obtuse. I hope that's what you meant.
7 is an acute angle and 8 is an obtuse angle.
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Answer:
(-oo, -6]Step-by-step explanation:
Let the number be x
3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]
I’ll mark u as brainlist if u get this right!!
Answer:
A
Step-by-step explanation:
When X is less than -1, positive parabola.
What is (125x^21y^-3)^-5/3 simplified?
Answer:
y⁵/132x³⁵
Step-by-step explanation:
hope this is right
i need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?
Answer:
$15
Step-by-step explanation:
12/8 = 1.5 = 1.50 per cookie
1.50* 10 = 15
If a = –2 + 2i and b = -5i, then find the value of the ab^3 in
fully simplified form.
Answer:
Step-by-step explanation:
Rewrite the equation
Start multiplying
Simplify
The value of ab³ in simplified form is equal to -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. A statement is not even an equation if there is no "equal to" sign in it.
From the given values in the question,
a = -2 + 2i
b = -5i
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
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what is two hundred and forty dived by six
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
Answer:
A. Approximately 85 m
Step-by-step explanation:
edge
The required distance between the origination point and the target point is 85 m.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
The distance between the origination point and mirror 1 is 120 m and between mirror 1 and mirror 2 = 90 m
From geometry, the measure of the angle Opposite the distance between the origination point and the target is given as,
= 20 + 25 = 45°
Let,
a = x
b = 90 m
c = 120 m
A = 45°
Following the cosine rule,
a² = b² + c² -2bccosA
a² = 90² + 120² - 2×90×120×cos45
a = √7226.5
a = 85.008
a ≈ 85
Thus, the required distance between the origination point and the target point is 85 m.
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Nicholas has decided to buy 1.5 pounds of Sour Patch Kids 1 pound is 3.99 How much will the Sour Patch Kids cost?
Answer:
Step-by-step explanation:
5.98
What theorems can be used to prove the triangles are congruent?
Question 5 (1 point) Most fossils are two million years old. True False
Answer:
False
Step-by:-step explanation
2 million years
The oldest reliably classified fossils belonging to the genus Homo date back to a little over 2 million years ago. They belong to H. habilis, a type of ancient hominin that scientists classify as the first of our genus, and which may have led to H. erectus, one of our direct ancestors
Answer:
false
Step-by-step explanation:
most fossils are muuchhh older
if M <1 = 115 degrees what is m <2
Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
Need help ASAP !!!!!!
What is 3x5 in mathematics
Answer:
3x5=15
Step-by-step explanation:
If you have three groups of 5 objects, you will have 15 objects in total.
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
HTH :)
Answer:
3 x 5 = 15
Step-by-step explanation:
If you have a three baskets, and five apples in each then you would just add five three times. I hope that some what made sense. I usually just think of it like that. :)