Answers
Denote the number by 10a + b, where both a and b are integers picked from {1, 2, 3, …, 9}.
"the difference of whose digits is 3" ==> |a - b| = 3
"4 times the number is equal to 7 times the number obtained by reversing the digits" ==> 4 (10a + b) = 7 (10b + a)
Simplifying the second equation, you get
40a + 4b = 70b + 7a
33a - 66b = 0
a - 2b = 0
Assume a > b, in which case we would have |a - b| = a - b, so
a - b = 3
Eliminate a to solve for b, then for a :
(a - b) - (a - 2b) = 3 - 0
b = 3 ==> a = 6
Then the original number is 63.
If instead we had assumed a < b, we would have had |a - b| = b - a = 3. Then
2 (b - a) + (a - 2b) = 2×3 + 0
-a = 6
But neither a nor b can be negative, so this case is moot.
Related Questions
The result of adding 14 to twice a number is the same as subtracting 8 from four times that number. Find that number.
Answers
Answer:
11
Step-by-step explanation:
Let the number be x
2x + 14 = 4x - 8 Add 8 to both sides
2x + 14 + 8 = 4x Combine
2x + 22 = 4x Subtract 2x
22 = 2x Divide by 2
11 = x
What is
f(x)=(x-2)(x-6) in standard form
Answers
y
=
x
2
−
4
x
−
12
Explanation:
This is a function of degree
2
i.e. quadratic equation and its standard firm is
y
=
a
x
2
+
b
x
+
c
. Hence, the standard form for
y
=
(
x
+
2
)
(
x
−
6
)
is
=
x
(
x
−
6
)
+
2
(
x
−
6
)
=
x
2
−
6
x
+
2
x
−
12
=
x
2
−
4
x
−
12
but this is for x+2 instead of x-2
16 - 2r = 3r + 6r + 1
what is r?
Answers
[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]
[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]
[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]
[tex]\\ \sf\longmapsto 11r=15[/tex]
[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]
Answer: r = 15/11
Step-by-step explanation:
Given
16 - 2r = 3r + 6r + 1
Combine like terms
16 - 2r = 9r + 1
Add 2r on both sides
16 - 2r + 2r = 9r + 1 + 2r
16 = 11r + 1
Subtract 1 on both sides
16 - 1 = 11r + 1 - 1
15 = 11r
Divide 11 on both sides
15 / 11 = 11r / 11
[tex]\boxed{r=\frac{15}{11} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
plssss help i want it now
Answers
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
Option B, $2020.00
Step-by-step explanation:
Volume of the pool,
12×5×14.5+4×5×7
= 1010 ft³
each cubit foot costs $2, so 1010 ft³ will cost,
1010×$2
= $2020
what is the difference between prime factors and odd numbers
Answers
Answer:
prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..
all odd numbers have prime factors but not all prime factors are odd numbers
The numbers 7, 23, and 25 form a Pythagorean triple. T/F
Answers
Answer:
If you like my answer than please mark me brainliest thanks
False because members of Pythagorean triplet 2m,m²+1, m²-1
1) What happens when production is inside the production possibilities curve?
The production is not maximized, so some resources are unused.
The production is not maximized, so some resources are unused.
The production has become less efficient, and eventually the curve will shift inward.
The production has become less efficient, and eventually the curve will shift inward.
The production has been made more efficient, and eventually the curve will shift inward.
The production has been made more efficient, and eventually the curve will shift inward.
It is not possible for the production to move inside the curve.
Answers
When production is inside the production possibilities curve, it means that the production is not maximized because some resources are unused.
A production possibility curve shows how an economy can be able to produce two goods while making use of the resources that it has. It follows the principle of trade off because as the production of a particular good is increased, the other good has to be reduced.
Production on the production possibility curve shows that the economy is making efficient use of the resources that it has.
When the production is inside the production possibility curve, it means such economy isn't making efficient use of the resources that it has.
Therefore, the correct option is A.
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Answer:
The production is not maximized, so some resources are unused.
Step-by-step explanation:
Hope this helps! :)
Write 128 as a product of its prime factors
Answers
Answer:
The prime factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
What errors did the coach make? Check all that apply.
He used an incorrect time ratio converting hours to minutes.
His units do not cancel.
He used an incorrect distance ratio converting miles to feet.
He incorrectly concluded that she is not running fast enough.
He cannot determine her average rate in miles per hour after only 15 minutes.
Answers
Answer:
A) He used an incorrect time ratio converting hours to minutes.
D) He incorrectly concluded that she is not running fast enough.
Step-by-step explanation:
Got it right on Edge ✿♥‿♥✿
Answer:
Step-by-step explanation:
a.He used an incorrect time ratio converting hours to minutes.
d.He incorrectly concluded that she is not running fast enough.
-6 +8(11 - 4)+ 32
Step 1
= -6 + 8(7) +32
Step 2
= -6 + 8(7) +9
Step 3
= 2(7) +9
Step 4
= 14 + 9
Step 5
= 23
Where is the mistake
Answers
Answer:
See below
Step-by-step explanation:
Step 2 and Step 3
Mistake #1: From step 1 to step 2 the 32 randomly changed to 9
Mistake #2: According to PEMDAS multiplication and division comes before addition and subtraction.
During step 3, 8 was added to -6 before 8 was multiplied by 7 which is incorrect as the multiplication should come first.
The real answer should be....
-6 +8(11 - 4)+ 32
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and division (left to right)
Addition and Subtraction (left to right)
-6 +8(11 - 4)+ 32
First do the operations inside of the parenthesis. ( Subtract 4 from 11 )
-6 + 8(7) + 32
There are no exponents so we go to the next step.
Next is multiplication.
Multiply 8 and 7
- 6 + 56 + 32
Finally we do the addition and subtraction going left to right.
First add 56 to -6
50 + 32
Then add 50 and 32
= 82
Answer: Step 2 and Step 3.
From step 1 to step 2 the "32" unexpectedly changes into a "9" for no reason.
Step 3 also has a mistake due to misusing PEMDAS, as 6 is removed from the 8(7) to get 2. The 6 should be removed from the 32 instead.
Correct step-by-step explanation:
[tex]-6 + 8(11-4) + 32\\=-6+8(7)+32\\=-6+8(7)+32\\=8(7)+26=56+26\\=82[/tex]
Pls help I’m really confused I’ll give you 35 pints
Find the total payment,
given the cost, sales tax
rate, and tip rate.
Cost: $35.75
Sales Tax Rate: 5%
Tip: 15%
Answers
Answer:
The total payment is thus $35.75 plus $7.11, or $42.86
Step-by-step explanation:
Note that the sales tax doesn't affect the tip. The sales tax is 5% of the cost and the tip is 15% of the before tax cost. We calculate the tax and the tip separately, then add them together and finally add this sum to the cost.
Sales tax: 5% of $35.75: $1.75
Tip: 15% of $35.75: $5.36
Adding these two quantities results in $7.11.
The total payment is thus $35.75 plus $7.11, or $42.86
Watch help video
Which value of x satisfies the equation
Answers
Answer:
-1
Step-by-step explanation:
1.25(x+1.5)=0.625
(x+1.5)=0.5
x=-1
Sally decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for her softball team.
Part 1) Write an algebraic expression that represents the total cost of the food if Sally buys x quarts of ice cream and y boxes of pizza.
Part 2) What is the total cost of Sally’s purchase if x=4 and y=5? Be sure to show your work.
Answers
Answer:
5x + 10y
5*4 + 10*5
20+50 = $70
Step-by-step explanation:
after allowing a 15% discount on the Marked price of a radio becomes rupees 1997 find the Marked price of the radio
Answers
Answer:
after discount sales price is rs 1997 which is 85 % of market price the market price = 1997/85×100 = 2350 ans.
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
Answers
Answer:
4 nickels
12 dimes
9 quarters
Step-by-step explanation:
x = number of nickels
y = number of dimes
z = number if quarters
0.05×x + 0.1×y + 0.25×z = 3.65
y = 3x
z = 2x + 1
0.05x + 0.1×3x + 0.25×(2x + 1) = 3.65
5x + 30x + 25×(2x + 1) = 365
35x + 50x + 25 = 365
85x = 340
x = 340/85 = 4
y = 3×4 = 12
z = 2×4 + 1 = 9
The surface area of a sphere is a function of the radius of the sphere: A = 41182.
Evaluate the function for a basketball with a radius of 11.5 cm.
Answers
The value of the function of the surface area of a sphere when the radius is 11.5 cm is approximately 1661.9 cm²
The process of arriving at the above value is as follows;
The known parameter
The function of the radius representing the surface area of a sphere is, f(r) = A = 4·π·r²
The radius of the basketball, r = 11.5 cm
Required;
To evaluate the function, f(r), for the basketball
Method;
The process of evaluating a function, is to find the value of the function at a given value of the input or independent variable of the function
The input variable is the variable that determines the output value of the function, it is the variable which is the function is about
In the question, the function given is dependent on the radius, r
To evaluate the value of the function, we substitute the value of r in the equation of the functionTherefore;
When r = 11.5 cm (the radius of the basketball), from the function, the surface area of the basketball, A = f(11.5) = 4 × π × (11.5 cm)² ≈ 1661.9 cm²
Therefore;
The evaluation of the function which is the value of the function, f(r) = A,
when the radius, r, is 11.5 cm, which is the surface area of the spherical
basketball, is A ≈ 1661.9 cm²
Learn more about evaluation of functions here;
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Help!!
Slove for x.
A.11
B.9
C.13
D.14
Answers
Answer:
x = 11
Step-by-step explanation:
Given 2 secants to a circle from an external point , then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
7(7 + x) = 6(6 + 15) ← distribute left side
49 + 7x = 6 × 21 = 126 ( subtract 49 from both sides )
7x = 77 ( divide both sides by 7 )
x = 11
What is the coefficient in the expression
-10t - 0.05
Answers
Answer:
-10
Step-by-step explanation:
The coefficient is the number before the variable in an equation. In this case it's -10. Hope this helped!
please answer the following question(math question)
don't spam
Answers
Answer:
well hlo again ( ˘ ³˘)♥ (◍•ᴗ•◍)❤
help solve for b it is for trigonometry
Answers
Answer:
[tex]b\approx 21.435332[/tex]
Step-by-step explanation:
The Law of Sines is a property that relates the sides and angles of any triangle. This property states the following:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Where (A), (B), and (C) are the angles of the triangles. The sides (a), (b), and (c) are the sides opposite their respective angles, (side (a) is the opposite angle (<A); side (b) is the opposite angle (<B); and side (c) is the opposite angle (<C)). Substitute the given information into the formula and solve for the unknown:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
[tex]\frac{sin(A)}{a}=\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
Remove the parts of the equation that are not relevant to the problem,
[tex]\frac{sin(A)}{a}=\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
[tex]\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
Take the cross product of the proportion,
[tex]\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
[tex]18(sin(72))=b(sin(53))[/tex]
Inverse operations,
[tex]18(sin(72))=b(sin(53))[/tex]
[tex]b=\frac{18(sin(72)}{sin(53)}[/tex]
[tex]b\approx 21.435332[/tex]
Integers -24 as a fraction?
Answers
explanation : -24 over 1
Xochitl went to the store to buy some cherries. The price per pound of the cherries is $4 per pound and she has a coupon for $3.50 off the final amount. With the coupon, how much would Xochitl have to pay to buy 3 pounds of cherries? Also, write an expression for the cost to buy pp pounds of cherries, assuming at least one pound is purchased
Answers
Explanation:
4$ per pound
3.5$ coupon
If he buy 3 pound he would need to pay 12$ but since he a 3.5$ coupon thus 12 - 3.5 = 8.5$
Can also written as an expression:
4x - 3.5 = x
Where x determine the amount of pound that is bought.
Xochitl needs to pay $8.50 to buy 3 pounds of cherries.
The expression for the cost to buy p pounds of cherries would be
$(4p - 3.50)
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, The price per pound of the cherries is $4 per pound and she has a coupon for $3.50 off the final amount.
Therefore, The cost of 3 pounds of cherries before the discount would be,
= $(3×4).
= $12.
And after the discount, it would be $(12 - 3.50).
= $8.50.
An expression for the cost to buy p pounds of cherries would be,
= $(4p - 3.50)
learn more about equations here :
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Answers
Answer:
Step-by-step explanation:
The rule that makes a relation NOT a function is if there are shared x values. This function has 2 points with the same x value:
(7, 4) and (7, 6). The sharing of these x-values (or the repeating of them) within the same relation makes this NOT a function. The last choice is the one you want. Just remember that a relation is only a function if there are no shared x-values. The y-values don't matter to this at all. A relation would be a function if it were made up of the following coordinates:
(1, 2), (2, 2), (3, 2), (4, 2), (5, 2), etc. Again, as long as the x-values don't repeat, the relation is a function.
Fifthteen of student took a math test. Eight student scored 75, five scored 82 and two scored 95. What was the average of there score
Answers
Answer:
84
Step-by-step explanation:
To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)
In the following hypothetical example, a researcher applies varying amounts of fertilizer (0, 2, 4, 8, 10 units) to potted tomato plants. All other variables that may affect the outcome (watering, temperature, sunlight, plant size, etc.) are kept the same from pot to pot. At the end of the growing season, the tomatoes grown on each plant are weighed to determine which fertilizer level produces the largest tomato yield. Which variable was the independent variable and which was the dependent variable
Answers
What is the decimal eqivalent for a meter?
Answers
Answer:
One meter = 10 decimeters = 100 centimeters = 0.001 kilometers = 3.2808399 feet = 1.0936133 yard = 0.000621371192 mile = 39.3700787 inches
Step-by-step explanation:
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Answers
Answer:
Hope this help you more
have a great day
The sale price for a jacket that regularly costs $102.00 is now $74.00. With sales tax, a customer pays $82.40.
Answers
If Your Asking How Much % Tax Was Added
Answer: 10%
If your asking how much money was added:
Answer: $7.40
If Your Asking How Much Money Was Removed From The Original Price: $18.00
If your asking how much was discounted
Answer: 16.0784314%
2x + 6 = 0
Answers
Answer:
The answer is x=3. YOU add the 6 to the zero and then divide the 2x by 6 and you get 3
2x=0-6
2x=-6
x=-6/-2
x=3
