Answer:
A = $10.50
B = $17.50
C = $24.50
Step-by-step explanation:
midpoint between (-5, 4) and (7, -5)
Answer:
(1, -1/2)
Step-by-step explanation:
Find the midpoint by finding the averages of the x coordinates and y coordinates:
(-5 + 7) / 2
2 / 2 = 1 (x coordinate)
(4 - 5) / 2
-1 / 2 = -1/2 (y coordinate)
So, the midpoint is (1, -1/2)
The perimeter of a right-angled triangle is 96 cm.
The lengths of its sides are in the ratio 6: 8:10
Work out the area of the triangle in cmp.
Perimeter = the sum of all the sides. In this case, we know the ratio but not what each would be multiplied by, hence the variable.
6x + 8x + 10x = 96
24x = 96
x = 4
6(4) = 24
8(4) = 32
10(4) = 40
Check:
24 + 32 + 40 = 96 cm
Area = (base * height) / 2
Base = 32
Height = 24
(The base and height are interchangeable here, as we just have to make sure we're multiplying the legs of the triangle together and avoiding the hypotenuse.)
(32 * 24) / 2
768 / 2
384
Area = 384 cm^2
Hope this helps!
the value of the power 4⁴=
Answer:
256
Step-by-step explanation:
4⁴
= 4 × 4 × 4 × 4
= 16 × 16
= 256
Evaluate the logarithm at the given value of x without using a calculator.
Function Value
g(x) = log_b(x) x = √b
9514 1404 393
Answer:
g(x) = 1/2
Step-by-step explanation:
The applicable relations are ...
[tex]\log_b(x)=a\ \Longleftrightarrow\ b^a=x\\\\\log_b(x^a)=a\cdot\log_b(x)\\\\\log_b(b)=1[/tex]
__
We want to find logb(x) for x = b^(1/2). Using the first relation, we see ...
g(x) = logb(x)
b^(g(x)) = b^(1/2) . . . . . using g(x) = a
g(x) = 1/2 . . . . . equating exponents
__
Alternatively, using the last two relations, we have x = b^(1/2), so ...
g(b^(1/2)) = logb(b^(1/2)) = (1/2)logb(b) = (1/2)(1)
g(x) = 1/2
_____
Additional comment
I find it useful to remember that a logarithm is an exponent. The first applicable relation shown above is a statement to that effect.
The One-to-One Property of natural logarithms states that if ln x = ln y, then _____
Answer:
x=y
Step-by-step explanation:
There is exactly one value of x for a value of the function by the one-to-one property.
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
ANSWER PLEASE NO FAKE ANSWERS ILL GIVE BRAINLIEST: Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong
Jaxson's work: 8 3/5 + 7 1/8 = 15 4/3
1. Jaxson forgot to simplify his answer.
2. Jaxson should have changed the mixed numbers to improper fractions.
3. Jaxson added the denominators instead of finding a common denominator and leaving it alone,
4. Jaxson did not make a mistake. He did everything right.
Answer:
3. Jaxson added the denominators instead of finding a common denominator and leaving it alone
Step-by-step explanation:
8 3/5 + 7 1/8 = 15 4/3
Get a common denominator
8 3/5 *8/8 + 7 1/8 *5/5
8 24/40 + 7 5/40
15 29/40
Use the appropriate method to find the quotient and the remainder when 8x³+4x+3 is divided by 2x-1
the central bank of the United States it the
Answer:
The Federal Reserve System, the central bank of the United States, was founded by Congress to provide a safe, flexible and stable monetary and financial system.
there are 11 books on a shelf. 3 of these books are new The rest of them are used. Whats the ratio of all books on the shelf to used books
Answer:
9 used books
Step-by-step explanation:
there are 9 used books
solution:11-3=9
so therefore the answer is 9
A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.
Answer:
9 and 18
Step-by-step explanation:
Let the integers be a and 2a (since one is twice the other).
The reciprocals are 1/a and 1/(2a) respectively.
Difference means tk subtract.
So we have 1/a-1/(2a)=1/18
Multiply both sides by 18:.
18a/a-18a/(2a)=18a/18
Simplify:
18-9=a
Simplify:
9=a
If a=9, then 2a=18
The integers are 9 and 18.
Test:
1/9-1/18
2/18-1/18
1/18
Golden!
10 employees only eat
vegetables and 25 employees
eat meat. What is the ratio of
the employees who only eat
vegetables to employees who
eat meat?
Detailed answer if possible I look to try and understand how to do this. So there is no need for a rushed answer just a detailed one so I can know how to do problems like these.
Answer:
yes
Step-by-step explanation:
Determine whether the variable is qualitative or quantitative.
breed of dog
Answer:
qualitative
Step-by-step explanation:
Breed of dog does not involve numbers: it's qualitative since dogs can have categories like "poodle" or "dachshund."
25÷5 + 12+5×2 solve this bodmas sum
Answer:
5+12+5×2
5+12+10
27
According to BODMAS Rule the ans is 27
Answer:
27
Step-by-step explanation:
25÷5+ 12+5×2
=5+12+5x2
=5+12+10
=17+10
=27
Hope this helps! Thanks.
I need help solving this question please with an explanation.
Answer:
if he work 3 hours and earn 40.50
then the money he earn per hour is 40.50/3=13.5 ans
help pls, i dont get this :(
Answer:b. a deposit of $278 followed by a withdrawal of $278
Step-by-step explanation:
use a calculator
I struggle with these, please help.
Answer:
5/12
Step-by-step explanation:
tan=opposite/adjacent
tan30=5/12
Answer:
Tanθ = opposite/adjacent
[tex] \tan(30) = \frac{5}{12} [/tex]
I hope I helped you^_^
-5 - (-14)
Which expressions are equivalent to the given expression?
A. -5 - 14
B. -5 + 14
C. -14-(-5)
D. -14 +5
E. -14 - 5
F. 14 - (-5)
G. 14 + 5
H. 14 - 5
7th grade math
Answer:
[tex]b) h) \\ - 5 - ( - 14) \\ = - 5 - - 14 \\ = - 5 + 14( - \times - = + )-5+14=14-5 \\ thank \: you[/tex]
Answer:
-5 + 14
14 - 5
Step-by-step explanation:
272 students enrolled in a freshman-level chemistry class. By the end of the semester, 7 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
The number of students who passed is 234 and the number of students who failed is 39.
To find number of students who passed, and the number of students who failed.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers.
Given that:
students enrolled in a freshman-level chemistry class=272
By the end of the semester, 7 times the number of students passed as failed.
Let x is number of students failed.
Then 6x is number of students passed.
So, 6x + x = 273
7x = 273,
∴x = 39
number of students passed= 273 - 39 = 234
So, the number of students who passed is 234 and the number of students who failed is 39.
Learn more about arithmetic here:
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how do i solve a·a²·a³
Answer:
a^(1+2+3) so a^6
Step-by-step explanation:
Round off 731 and 164 to the nearest tens.find The difference of the rounded off numbers.round off the difference to the nearest hundred
Answer:
731 and 164 rounded off to the nearest tens is 730 and 160.
the difference is 570
570. rounded off to the nearest hundred is 600
y = - 18 when x = 3 , find x when y = 30
Answer:
x=-5
Step-by-step explanation:
First create a ratio -18/3 = 30/x
Cross multiply -18x=90
90/-18=-5
x=-5
HELP ME OUT PLS … ……..
If there are 6 people,and each person has 3 coins,There are times as many coins as people
Solve for a: 7a = 63
Answer:
a = 9
Step-by-step explanation:
7a = 63
Divide 7 on both sides,
=> 7a/7 = 63/7
=> a = 9
13. State the restrictions
and then simplify
8x2 +14x-49 /
2x²+x-21
Answer:
Whenever the denom is 0, that's where it's undefined -- or in your case "restrictions"
So factoring 2x^2 + x - 21 gets you (x-3)(2x+7). That means 3 and -7/2 are the restricted values.
To simplify, I'm going to factor it. (Assuming what you wrote is 8x^2 for the numerator)
[(4x-7)(2x+7)] / (x-3)(2x+7)
You can cancel 2x+7 out,
so you get 4x-7/x-3
185 for 4 tickets whats the price per ticket
The width of a rectangle measures (2p - 9q) centimeters, and its length measures
(7p - 10q) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
Given Data : Length = (7p - 10q) and Breadth = (2p - 9q)
Calculation :
⟹ Perimeter = 2(Length + Breadth)
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = 18p - 38q centimetres
Answer : 18p - 38q centimetresThe required perimeter of the rectangle is 18p - 38q centimeters.
It is required to find the required perimeter of the rectangle.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
width of a rectangle = (2p - 9q) centimeters,
length measures= (7p - 10q) centimeters.
We know that
⟹ Perimeter = 2(Length + Breadth)
By put the value width and length in perimeter we get,
⟹ Perimeter = 2(7p - 10q + 2p - 9q)
⟹ Perimeter = 2(9p - 19q)
⟹ Perimeter = 18p - 38q centimeters
Therefore, the required perimeter of the rectangle is 18p - 38q centimeters.
Learn more about rectangle here:
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QOX
7. A total of 2000 people attended a benefit
concert was held to raise money for a
children foundation. Student ticket cost $2
and an adult ticket cost $3. If the organizer
raises a total of $5050, how many students
attended the concert?
Let x = number of students
Let 2000 - x = number of adults
Need explanation
Answer: Student ticket cost $2 and an adult ticket cost $3.
257 kids total attended
Step-by-step explanation: