=========================================================
Explanation:
T = tens digit of original number
U = units digit of original number
"units digit" is the same as "ones digit"
The original number is in the form 10T+U. For example, let's say that T = 3 is the tens digit and U = 1 is the units digit. This means 10T+U = 10*3+1 = 31 is the original number. Though in this example, the digits don't add to 12.
To make the digits add to 12, we have the equation T+U = 12. This solves to U = 12-T which we'll use later.
--------------------
The digits are reversed to get the new number 10U+T and this is 15 times the original tens digit, so
new number = 15*(original tens digit)
10U+T = 15T
from here we plug in U = 12-T which we found earlier. This effectively eliminates or gets rid of the U variable to leave us with T only
10U+T = 15T
10(12-T)+T = 15T ..... replace U with 12-T
which we can now solve for T
--------------------
10(12-T)+T = 15T
120-10T+T = 15T
-9T+120 = 15T
120 = 15T+9T ... adding 9T to both sides
120 = 24T
24T = 120
T = 120/24 .... divide both sides by 24
T = 5
The original tens digit is T = 5
The original units digit is U = 12-T = 12-5 = 7
So the original number is 10T+U = 10*5+7 = 57
Flipping the digits gets us 75 which is 15 times that of the original tens digit of 5. The original number has its digits add to 5+7 = 12. The answer has been confirmed.
The weekly salaries (in dollars) for employees of a small business are given below. (Note that these are already ordered from least to greatest.) 592, 627, 815, 853, 930, 936, 1000, 1007
Answer:
Umm how are we suppose to answer that... Yes the answer is yes
Step-by-step explanation:
Why does each 3 have a different value in 3.453?
Answer: Hi!
Each 3 is in a different place value. That's why they have different values.
Hope this helps!
Answer:
the three before the decimal is a whole number that equals 3.0, while the three after the decimal is a decimal equaling 0.003.
Step-by-step explanation:
Please help me understand
Answer:
x= 10
Step-by-step explanation:
[tex]\frac{-2-2x}{3} =-8\\-2-2x=-24\\-2x= -24+2\\-2x=-20\\x=10[/tex]
Simplify the expression -3÷(-2/5)
Answer:
[tex]\frac{15}{2}[/tex] or 7.5 (they're the same)
Step-by-step explanation:
Write it out: [tex]\frac{-3}{-\frac{2}{5} }[/tex] Simplify: [tex]\frac{3}{\frac{2}{5} }[/tex] 3 ÷ 2/5 = 3 × 5/23 × 5/2 = 15/2 or 7.5Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]-3:-\frac{2}{5}= \\=-\frac{3}{1}*-\frac{5}{2}\\\\=\frac{-3*-5}{2}\\ \\=\frac{15}{2}\\ \\=7\frac{1}{2}[/tex]
12. A cyclist travels 40 km at a speed of x km/h. Find the time
taken in terms of x. Find the time taken when his speed is
reduced by 2 km/h. If the difference between the times is
1 hour, find the original speed x.
Answer
original speed X=10
Step-by-step explanation:
We know that Speed= distance/ time
Then
time =distance/speed
We were told the cyclist travels 40 km at a speed of x km/h.
Which means
Distance= 40km
speed =x km/h
Then time t =40/x
Again we we were told his speed was
reduced by 2 km/h
Then speed= (x-2)
But the Distance is still 40km
But we were told the difference in time is 1 hour
Time t=40/(x-2)
Then if we find the difference between the time t of the first condition and second condition we have
40/(x-2) - (40/x) =1
[40x-40(x-2)]/ x(x-2)= 1
80=x(x-2)
x^2-2x-80=0
This is a quadratic equation , if we solve using factorization we have
(x+8)(x-10)
x+8=0 or x-10= 0
X= -8 or 10
But we cannot have a negative value for speed then
X=10
Therefore, original speedX=10
Answer:
x=10
Step-by-step explanation:
Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of
soil contains 2 2/3 cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?
6 ÷ 2 ( 1 + 2 ) = ? Please solve! I really need help!
Answer: 9
Step-by-step explanation: Use PEMDAS
1. Solve the parenthesis (your answer is 3).
2. Divide 6 by 2 (your answer is 3).
3. Multiply 3 and 3.
Your answer is 9. Hope this helps!
Answer:
9
Step-by-step explanation: First do 6 divided by 2 get 3 then add up the numbers in the parenthesis which u get 3 do 3x3 and you'll get your answer 9
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? adult tickets
Answer:168
Step-by-step explanation: First you do 82 times 3.75 which is 307.50. Then you do 2071.5 - 307.5 = 1764 Then you do 1764 divided by 10.50 which is 168
Answer:
168 adult tickets
Step-by-step explanation:
just checked it and got 100 on edge
Find the number that is four greater than three times its additive inverse.
Answer:
1
Step-by-step explanation:
let the number=x
x-4=-3x
x+3x=4
4x=4
x=4/4=1
The number that is four greater than three times its additive inverse
is - 3n + 4.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Let the unknown number be 'n' so its additive inverse is '-n'.
So, the number that is four greater than three times its additive inverse is,
Three times of additive inverse is -3n.
Now the number is 4 greater than 3 times its additive inverse which is
= - 3n + 4.
learn more about additive inverse here :
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Ray and Max are playing a game with cards. At the end of the day Max has 5 cards. If the value of each card is -50 points, how many points does Max have? Explain. A) -250 B) - 10 C) 10 D) 250
Answer:
-250
Step-by-step explanation:
If the value of each card is -50 and Max has 5 cards. To find the points Max has you multiply -50(the value of one card) by 5(the number of cards Max has). The answer is -250 because when multiplying a negative and a positive the answer you get is a negative
HOPE IT HELPED
Answer: -250 points
When you multiply a positive and negative, you always get a negative.
-50 x 5 = -250
During the same classifying activities, Haily said -√49 is an integer and Josh stated it is a rational number. Who is correct and why?
Answer:
-√49
Step-by-step explanation:
iron
Answer:
[tex]\sqrt{49}[/tex]
Step-by-step explanation:
What is 20/2? Answer for 10 points
Answer:10
Step-by-step explanation: this is a middle school question? lool
a slice of bread weighs 28.349 grams. Which expression shows the weight of a slice of bread in expanded notation?
Answer:
20,000
+
8,000
+
300
+
40
+
9
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST AND 50 POINTS
The table shows the mass and boiling point of some substances.
Boiling Point of Substances
Mass(kg) Boiling Point of Water(°C) Boiling Point of Soybean Oil(°C
1 100 300
2 M N
Part 1: Is the value of M less than, greater than, or equal to the value of N? Part 2: Explain your answer for Part 1.
Answer:
The answer to your question is: less than
Step-by-step explanation:
Some properties of matter depend on the amount of matter in a sample others do not.
Extensive properties: are properties that depend on the amount of matter in a sample. Ex. size, volume
Intensive properties: are properties that do not depend on the amount of matter in a sample. Ex. color, temperature, density, solubility, boiling point.
Then in your question boiling point does not depend on the amount of matter, then the boiling points will be the same as in number 1.
48/4 as a mixed number? Please help!
Answer:
12 is the answer
Step-by-step explanation:
How is the number five and two hundred three thousandths written in standard form?
Answer:
0.05203*10 to the power 2
Step-by-step explanation:
To get the standard form you divide a number in order to multiply it by a power of 10 to get the same number. So 5.203 in standard form is o.o5203 * 10 to the power 2. The 10 to the power 2 comes from the number of palces you move the comma/ decimal point to the left
HOPE IT HELPED
Answer:
5.203
*I wrote the answer in decimal form*
When it says *and* that means u are adding a decimal point to ur number. Like this ( four and thirty-two hundredth = 4.32)
I need this Now (2x + 1)²
Answer:
4x² + 4x + 1
Step-by-step explanation:
We know that (a + b)² = a² + 2ab + b², therefore, (2x + 1)² = 4x² + 4x + 1.
Answer:
(2x)^2 + 2(2x)(1) + (1)^2
4x^2 + 4x + 1
Step-by-step explanation:
Hello I kinda need help it’s for a math test thank you! :)
Answer to the problom is C
Answer:
I believe it would be 95%
In this graph, it shows that the more you study, the better grades you get.
An hour and a half is 90 minutes, which is the greatest amount of minutes spend doing math homework.
This means that she'll get one of the highest grades, which is 95%.
Hope this helps!
Write an equation of the line that passes through (−4, −9) and is parallel to the line y=4x .
Answer:
y = 4x + 7
Step-by-step explanation:
parallel = same slope
y = 4x + b
plug in (-4, -9)
-9 = 4(-4) + b
-9 = -16 + b
b = 7
y = 4x + 7
Answer:
7=4x+7
Step-by-step explanation:
To do this you would just plug in (-4,-9) into the equation y=mx+b so we would get -9=4(-4)+b when you simplify you will get -9=-16+b so we would add 16 to both sides and we would get 7=b so we would know that the y intercept is 7 and we know that if a line is parallel to another line is just has a different b so for our equation we would get 7=4x+7
jan's gas tank is nearly empty, at 1/12 full. she doesn't have enough cash to fill the tank, she adds enough gas to reach 2/3 full.
How much gas did she add, as a fraction of the tank?
Answer:
she added 7/12
hope it helps
Step-by-step explanation:
so 4/12 is 1/3 she reached 2/3 so she would be at 8/12. take away 1/12 cause she started with that so you get 7/12.
8 ÷ 2 ( 2 + 2 ) = ? Help...please
Answer: 16
Step-by-step explanation:
1. Add the numbers in the parenthesis (answer is 4).
2. Divide 8 by 2 (answer is 4).
3. Multiply 4 and 4.
Your answer is 16. Hope this helps. :)
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{16}}}}[/tex]
Step-by-step explanation:
[tex] \sf{8 \div 2(2 + 2)}[/tex]
Add the numbers
⇒[tex] \sf{8 \div 2 \times 4}[/tex]
Divide 8 by 2
⇒[tex] \sf{4 \times 4}[/tex]
Multiply the numbers
⇒[tex] \sf{16}[/tex]
Hope I helped!
Best regards!!
Hi, can anyone please help me out? (Question is in the attachment)
Answer:
10.99
Step-by-step explanation:
I usually use omni calculater
all you need is the central angle (90 deg) and radius (7).
7(5a-4)-1=14--8a i need help
Answer:
a=1
Step-by-step explanation:
35a-29=14-8a
35a+8a=43a
43a-29=14
14+29=43
43a=43
A=1
Answer:
a=1
Step-by-step explanation:
first you distribute for 7(5a-4) so you get 35a - 28 - 1 =14 - 8a.
then you combine like terms so you get 35a - 29 =14 - 8a.
then you do it again which gives you 43a = 43.
divide both sides by 43 to get a by itself and you get a = 1
Please help if you can.
Answer: 1 11/12
Step-by-step explanation:
Answer: Each of the 6 jars would weigh 2 1/4 pounds
Step-by-step explanation:
Add the given weights. Be sure to Add 2 3/4 twice as there are two dots over that number on the graph.
The total weight is 13 1/2 Divide by 6
If you are using a calculator, it may be easier to change the fractions to decimals: 1/4 = .25 etc.
Is 5/100 a repeating decimal?
Answer:
no
Step-by-step explanation:
it is 0.05
Answer:
Noooooooo. i dont think it is. 5/100= 0.05 so no
Step-by-step explanation:
Which set of numbers below contains only whole numbers?
A. 5.5,2,9
B. 9,000 , 5 over 6 ,21
C. 8, 54, 20
D. -9, 75, 8.65
Answer:
C, there are no decimals or fractions
Sarah spends $5 on a coffee from Starbucks each week. Which of the following integers represents her total spending after 5 weeks? A. -$25 B. $25
Answer:
25 dollars (B)
Step-by-step explanation:
$5 * 5 weeks is $25 in total
Answer:
A. -25
Step-by-step explanation:
if you buy something you are spending money therefore lossing money.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle a across the y-axis and then translate triangle a 5 units down. B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin.
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is 3.5z - 2.7z = -6 What is Z.
Answer:
-7.5
Step-by-step explanation:
3.5z-2.7z is .8z
.8x=-6
.8 is 4/5
5/4 times .8z=5/4 times -6
-7.5
The required solution of the given function is z = -7.5.
Given that,
To determine the simplified solution, of the given expression 3.5z - 2.7z = -6 and determine the value of z.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3.5z - 2.7z = -6
Simplifying,
0.8z = -6
z = -6 / 0.8
z = -7.5
Thus, the required solution of the given function is z = -7.5.
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Jimmy thought he had purchased 7
folders, but he had only purchased 6.
What was his percent error? round to the nearest percent
He would need to borrow $1.69