Answer:
The number is 62
Step-by-step explanation:
Let the digits of the number be T and U;
A 2 digit number is represented as: 10T + U
So,
[tex]T + U = 8[/tex]
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
Required
Find the digit
Make U the subject in the first equation
[tex]U = 8 - T[/tex]
Substitute 8 - T for U in the second
[tex]10T + U - (10U + T) = 10 + 10U + T[/tex]
[tex]10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T[/tex]
[tex]10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T[/tex]
[tex]10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T[/tex]
Collect Like Terms
[tex]10T + 10T - T- T + 8 -80 = 10 + 80 - 10T+ T[/tex]
[tex]18T -72 = 90 - 9T[/tex]
[tex]9T + 18T = 90 + 72[/tex]
[tex]27T = 162[/tex]
[tex]T = 162/27[/tex]
[tex]T = 6[/tex]
Recall that:
[tex]U = 8 - T[/tex]
[tex]U = 8 - 6[/tex]
[tex]U = 2[/tex]
Hence, the number is 62
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
Check my answers plz <3\
Answer:
all three are correct
Step-by-step explanation:
Can anyone give me the answer?
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.
79.990 as a decimal??????? Help ASAP
Answer:
79.990 is a decimal
What is the next term in the following sequence? 54, -18, 6,.....
Jessica wants to go on a school trip next month. The trip will cost $100 and she already has $10 and plans to babysit for $5 an hour to earn the rest of the money.
A. Write an equation that could be used to determine h, the number of hours Jessica needs to babysit to earn $100.
B. From your equation, determine the number of hours she needs to babysit.
Answer:
Step-by-step explanation:
100=10+5x x is the hours she needs to babysit
90=5x
x=18
She needs to babysit for 18 hours at $5 an hour if she already has $10
Please help!!!!!!!!!!!!!!!!
Answer:
I don't know much about linear regression, but I would say the answer is 15.25. The x-value number closest to 75 is 77, and the corresponding y value is 16.5. Since there is a big difference between the other answers and 16.5, you can estimate and conclude that 15.25 is probably the answer. Sorry if this doesn't help much since I wasn't able to explain the correct way they asked you to do the problem. :/
⚠️⚠️ IM ALMOST DONE please ⚠️⚠️
Asappppp , pls help me :((
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
How do I find x in this triangle?
Answer:
B=5
Step-by-step explanation:
a2+b2=c2
12squared+b2=13squared
144+b2=169 Subtract by 144 on both sides
b2=25 Find square root of 25
b=5
Find the slope of the table
Answer:
y= -.5x+2
Step-by-step explanation:
Upload the worksheet with your constructions below.
Answer:
I attached a pic of my work, its 100% correct.
Its a bit messy....
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue car: 30.8 miles per galon
Red car: 27 miles per galon
Blue car can travel longer distances on one galon!
Step-by-step explanation:
Blue car:
38 1/2=77/2=38.5 miles
1 1/4=5/4=1.25 gasoline
38.5/1.25=30.8miles per galon
Red car:
21 3/5=108/5=21.6 miles
4/5=0.8 gasoline
21.6/0.8=27 miles per galon
Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?
Answer:
34,567-22,999=11,568
2(x+6) ^2+ 4 = 20
explain step by step please (square root property)
Answer:
x=2√2-6, -2√2-6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps.
En cierto cultivo, inicialmente había 1000 amebas que se reproducen por biparticion cada día ¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo ?
Answer: 1,073,741,824,000 amebas
Step-by-step explanation:
Bipartición significa que la población de amebas se duplica cada día.
Entonces si inicialmente hay 1000, después de un día van a haber:
2*1000.
Después del segundo día se vuelven a duplicar, entonces van a haber:
2*(2*1000) = (2^2)*1000
Después del tercer día, lo mismo:
2*(2^2)*1000 = (2^3)*1000.
A esta altura ya se puede ver el patrón, podemos concluir que después de N días, la población de amebas va a ser:
P(N) = (2^N)*1000.
Entonces respondiendo a la pregunta:
¿Cuántas amebas habrá al cabo de 30 días después que se inició el cultivo?
Tenemos que tomar N = 30
P(30) = (2^30)*1000 = 1,073,741,824,000 amebas
Solve the following system of equations.
3x + 2y - 5 = 0
x = y + 10
Make sure there are NO SPACES in your answer. Include a comma in your answer.
ANSWER:
5.7 x 3.6 help me asap
Answer:
20.52
Step-by-step explanation:
I used a calculator
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?
Bakugou here:
Answer:
The tide raises both the water and the boat so the water will never reach the fifth rung.
Step-by-step explanation:
Brainlyest??!!
If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answer:
Step-by-step explanation:
A
An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28
Answer: 28
Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28
Answer:
the answer is D $28
Step-by-step explanation:
A 2-yard piece of string costs 1.50$. What is the price per foot?
PLEASE HELP
WILL MARK BRAINLIEST
Answer:
0.013333333333333
Step-by-step explanation:
short answer would be 0.013 i think lol
Hi! I believe your answer is $0.25 (twenty-five cents). There are 3 feet in a yard, so in 2 yards, there are 6 feet. If we want to know the cost per foot, we need to divide 1.50 by 6. The quotient is 0.25, or $0.25 per foot. I hope this helps you! Good luck and have a great day/night. ❤️✨
6 1/7 as an improper fraction
If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
A fraction x/y has two terms x is called a numerator and y is the denominator.
An improper fraction is a fraction when x ≥ y.
Therefore, 6 1/7 = 6 + 1/7
⇒ (42 + 1)/7 = 43/7
Since 43 > 7 so it will be an improper fraction.
Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".
For more about fractions,
https://brainly.com/question/10354322
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please can someone solve
9 - 8(x+1) < 3 (2 - 4x)
Answer: x < 5/4
Step-by-step explanation:
Write the number for one million six hundred thousand .
Answer:
1,600,000
Step-by-step explanation:
Answer:
1001600
Step-by-step explanation:
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
Michael is using a number line to evaluate the expression –8 – 3
Answer:
-11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
