Answer:
Anna is 41 years old.
Step-by-step explanation:
Easiest way to do this is by building a equation,
Lest say Anna's age is [tex]x[/tex].
Then as Peter is 3 years older than Anna Peter's age should be [tex]x+3[/tex].
Then the combined ages of the two people is given as 85. So we can write an equation as,
[tex]x+(x+3)=85[/tex]
[tex]x+x+3=85[/tex]
[tex]2x+3=85[/tex]
[tex]2x+3-3=85-3[/tex] (deducting 3 from both sides of the equation)
[tex]2x=82[/tex]
[tex]x=41[/tex]
As we originally took Anna;s age as [tex]x[/tex]
We can say Anna is 41 years old.
Using the digits 2,3,5,6,8 find the smallest possible product?
the product is always the same:
1440
The smallest possible product using the digits 2, 3, 5, 6, 8 is 1440.
To do this, we’ll arrange the digits in ascending order:
2 < 3 < 5 < 6 < 8
Hence, the smallest number formed using these digits is 23568.
Now let’s calculate the product:
2*3*5*6*8 = 1440
So, the product is always the same: 1440.
Whether you arrange the digits in ascending or descending order, the product remains unchanged because multiplication is commutative (i.e., the order of multiplication doesn’t matter)
Jose bought a sofa on sale for $527. The price was 38% less than the original price. What was the original price
the original price of the sofa was 727.26
Solve the inequality for x. Show each step of the solution.
12x>9(2x-3)-15
[tex]12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\\\\12x > 18x-42\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7[/tex]
Answer:
The answer is x<7
Step-by-step explanation: Factor[12 x > -15 + 9 (-3 + 2 x)]. 12 x > 6 (-7 + 3 x). Then, you get 7 is greater than x. Hope this helps!
Jerry walked a dog from 6:40 am to 7:30 pm one day. If he was paid at the rate of 6$ per hour, how much did he earn that day?
Answer:
$5
Explanation:
Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.
Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.
660=x50
From here, you have to solve for x. So cross multiply, and then simplify.
60x=50⋅6
60x60=50⋅6/60
60x60=50⋅6/60
x=5⋅6/6
x=5
So the answer is $5.
Jerry earned about $76.98 for the day.
Jerry walked a dog from 6:40 am to 7:30 pm. To calculate how much he earned, we need to determine the total number of hours he worked.
First, we convert the end time into military time, which is 19:30.
Subtract the start time, 6:40, from the end time, 19:30.
Calculation:
From 6:40 am to 6:40 pm is 12 hours.From 6:40 pm to 7:30 pm is an additional 50 minutes, which is [tex]\frac{50}{60}[/tex] hours or approximately 0.83 hours.Total hours worked: 12 + 0.83 = 12.83 hours.Now, we use the rate of $6 per hour to calculate his earnings:
Earnings = Total hours * Rate per hour
Earnings = 12.83 hours * $6/hour = $76.98
Since Jerry worked a fraction of an hour, we included the approximate earnings up to two decimal places.
So, Jerry earned about $76.98 for the day.
Which decimal is equivalent to 1 80/333
Answer: Our required decimal expansion would be[tex]1.\bar{240}[/tex]
Step-by-step explanation:
Since we have given that
[tex]1\dfrac{80}{333}[/tex]
We need to write in decimal form:
First we change the mixed fraction into improper fraction:
[tex]\dfrac{333\times 1+80}{333}=\dfrac{413}{333}\\\\=1.240240...............\\\\=1.\bar{240}[/tex]
Hence, our required decimal expansion would be[tex]1.\bar{240}[/tex]
what is the patern in the values as the exponents increase?
powers of 3. value
3^-1. 1/3
3^0. 1
3^1. 3
3^2. 9
A. add 3 to the previous value
B. subtract 3 from the previous value
C. divide the previous value by 3
D. multiply the previous value by 3
Answer:
D. multiply the previous value by 3
Step-by-step explanation:
The pattern of values as the exponents increase is
1/3, 1, 3, 9
Comparing 1/3 to 1, we either add 2/3 or multiply by 3.
Comparing 1 to 3, we either add 2 or multiply by 3.
Comparing 3 to 9, we either add 6 or multiply by 3.
The constant in this pattern is multiplication by 3.
It takes us of ribbon to make a hair bow. How much ribbon is needed to make 9 bows?
The length of ribbon needed to make 9 bows is 9 times the amount of ribbon needed for one bow, expressed mathematically as 9*x given 'x' is the length of ribbon for one bow.
Explanation:Based on your query, there appears to be a detail missing, which is the length of the ribbon needed to make one bow. Suppose we denote that length as 'x' units. To find the total length necessary for making 9 bows, we would simply multiply that length by 9. In mathematical terms, this would be expressed as 9*x. So if it takes x units of ribbon to make one bow, it will take 9*x units of ribbon to make 9 bows.
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Due to a typo, the exact length of ribbon per bow is unspecified. Assuming a length of [tex]\( x \)[/tex] per bow, for 9 bows the total needed would be [tex]\( 9x \)[/tex] This is akin to scaling up costs for making multiple items, similar to the production cost examples provided.
Explanation:It seems there is a typo in the initial fraction of ribbon used per bow, as it is not provided in the question. Assuming the fraction provided is the one we would work with, let's say it takes [tex]\( x \)[/tex] of a ribbon to make one hair bow. To find out how much ribbon is needed to make 9 bows, we multiply [tex]\( x \)[/tex] by 9. Therefore, the total amount of ribbon required for 9 bows would be [tex]\( 9x \)[/tex].
Going by the example information given, if we compare it with the cost of manufacturing goods, we can draw on the parallel of calculating the cost to produce multiple items. For example, if pants finishing costs 49 cents for 7 pairs, and we want to calculate for 9 pairs, we would set up a proportion or use unit rate to find the answer. Though this example doesn't directly relate to the ribbon question, it illustrates the process of scaling up a unit quantity to a larger quantity, which is a common mathematical operation in both scenarios.
which compound inequality is equivalent to ax-b c
i think the answer is ax -b < - c
Mia 77 pieces of gum playing hoops at her school's game night. later she gave three to each of her friends. she only has five remaining. how many friends does she have?
77 - 3x = 5
subtract 77 from both sides : -3x = -72
divide by -3 on both sides to get x by itself : x = 24
The answer is that Mia has 24 friends (x = 24)
my tens digit is double my ones digit. I am less than 70 and greater than 60.
63 is your answer
Check:
Multiply: 3 x 2 = 6
Check that it is greater than 60, less than 70: 60 < 63 < 70
~Rise Above the Ordinary
Can you help me? Please show how you work it out
Swimmers: 50 children ÷ 12 = 4.2 (you can't have a decimal so you must round up)
5 adults are need.
Dancers: 32 children ÷ 15 = 2.1 (you can't have a decimal so you must round up)
3 adults are need.
Minimum number of adults needed is: 5 for swimmers + 3 for dancers = 8 adults
There are 7 school buses taking students on a field trip. There are 37 students on each bus. How many students are going on the field trip? Please show work and it’s not 249
There are 259 kids on all 7 buses.
scenario for 300=60t
Jannelle can drive an average of 295 miles on one tank of gas. How many miles can she drive on 16 tanks of gas?
Jannelle could go 4,720 miles hope this helps
4720 miles can be driven with 16 tanks of gas.
What is Proportion?Two or more ratios setting to be equal to each other is termed as proportion.
If two quantities are directly proportional, if one increases. other also increases and if one decreases, other also decreases.
If two quantities are inversely proportional, if one increases other decreases and if one decreases, other increases.
Solve this problem using proportional concept.
Jannelle can drive an average of 295 miles on one tank of gas. We have to find the miles she can drive on 16 tanks of gas.
Miles Jannelle can drive on one tank of gas = 295 miles
Miles Jannelle can drive on 16 tanks of gas = 16 × 295
= 4720 miles
Hence Jannelle can drive 4720 miles on 16 tanks of gas.
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6(30 – 3) = plz help me
just think of it like this 6 x (30 - 3) so then it turns into 6 x 27 which is 162 :) I hope this helped :))
what is the factorization of the trinomial below? x^3-2x^2-35x
A) x(x-7)(x-5)
B) (x-7)(x+5)
C) x(x-7)(x+5)
D) (x^2-7)(x+5)
How many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long ? Please explain
Add 16 to 1 9/16 that will then be 25/16 then you divide 5 from 25 that equals 5 so that is your answer
Explain how to find the greatest common factor of three numbers.
You find the highest number that can divide into all of them without leaving any with a remainder.
Hope this helps.
u have to multiply the three numbers till u get the GCF
correct me if im wrong
have a blessed day!
If the earth rotates 15° each hour how long does it take to rotate 1°? Show your work
It will take 4 minutes to rotate 1º because 15 divided by 15 is one (to get 1º) and 60 (1 hour) divided by 15 is 4.
round to the place value of the underlined digit 12,387 and 2 is underlined
To round 12,387 with the thousands place underlined, we look at the digit to the right (3) and, since it is less than 5, we round down by keeping the 2 unchanged and turning all the digits to its right to zeros, which gives us 12,000.
Since the next digit (3) is less than 5, we do not increase the value of the underlined digit. Thus, we keep the 2 as it is and change all the digits to the right of it to zeros, resulting in the rounded number 12,000.
This concept is similar to the general principle applied when rounding numbers, which involves looking at the digit immediately to the right of the target place value. If it's 5 or greater, we round up. Otherwise, we round down. Examples of rounding numbers in different situations include:
Significant figures: Rounding an answer like 2,085.5688 to five significant figures would result in 2,085.6 because the first digit to be dropped is greater than 5.
Limiting the final answer to a certain place value: When adding 6527.23 and 2, the answer must be reported as 6528 because the digit 2 has no decimal places that would be significant, so we can only report to the ones place.
When working with calculations such as 119.902, if we need to limit our answer to tenths based on significant figures, we round down to 119.9.
If f(x)= 6x+7, determine the value of f(-5)
Round 1676 to the nearest thousand
2,000 is the final answer
700 meters or 4 kilometers which is furthest?
Which of the following choices are equivalent to the expression below? X^4/7
Answer:
the answer is a c and d
Step-by-step explanation:
Simplify. 4^3 · 4^4/4^9 A) 41^6 B) 4^2 C) 1/4^2 D) 1/4
Answer:
c
Step-by-step explanation:
c 1/4>2
cause the and to that is 1/16
Mario's Fine Dining charges $60.22 for its prix fixe meal plus $37.69 for every drink, d, you purchase. The equation that models the total cost (T) isT(d)=37.69d+60.22. Which value in the equation represents the rate of change?
Answer:
The value of rate of change in the equation [tex]T(d)=37.69d+60.22[/tex] is 37.69.
Step-by-step explanation:
Given the equation that models the total cost(T) is:
[tex]T(d)=37.69d+60.22[/tex] where d is the drink you purchase.
To determine the rate of change:
1. An equation must be into the Slope-intercept form (y=mx+b).
2. m is the slope (rate of change) of the linear function.
3. b is the y-intercept of the linear function (y- intercept is where the line crosses the y-axis).
Since, the given equation is in the linear form i.e, [tex]T(d)=37.69d+60.22[/tex]
The rate of change(m) of the given equation is, 37.69.
Solve the following equation for y: 2x-3y=6
2x-3y=6
-y=6
y=-6
Check your Work
-6(2) - 3(-6)=
-12-(-18)=
-12+18=6
Did I get this right ???will mark brainliest and is worth 17 points
Answer:
it is right
Step-by-step explanation:
Yes, you are correct. A negative number times a positive is a pos, and 4 times 12 is 48. Neg times a neg is a pos, and 48 times 3 is 144.
there is an increase in the money supply that causes money to lose its purchasing power and prices to rise, what is this called?
A. Stagnation.
B. Inflation.
C. Deflation.
D. Conflation.
Answer:
open
Step-by-step explanation:
Inflation is the term used when an increase in the money supply reduces the purchasing power of money and causes prices to rise.
round 7.854 to the place named?
This is placed at the thousandth place
(i think that is what you wanted me to answer..?)
hope that helps :)