Answer:
See below.
Step-by-step explanation:
The rate of a taxi is a $5 per mile and there is a service charge of $10. Represent the total cost, y, as a function of number of miles, x.
The measure of angle C is 20.5 angles C and D are complementary angles Find m
Answer:
69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.
Step-by-step explanation:
You're trying to find m which is a variable for measurement for the "D" angle.
Info Given:
20.5 for angle C
Unknown for angle D
Both angles are Complementary.
_____________________________________________
I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)
1st Answer:
If you're asking to solve for M but the C and D angles add up to 90 then do
90 - 20.5 = 69.5
2nd Answer:
We know that both angles are complementary which are 90-degree angles.
If we combine them then the angles add up to 180.
So C and D add up to form a Supplementary Angle.
20.5+69.5 + m = 180
Then M could possibly be 90.
Determine the length of DC.
Need the answer urgently.
Answer:
DC = 39
Step-by-step explanation:
From inspection of the diagram:
EA is tangent to both circlesDE is the radius of circle DCA is the radius of circle CThe tangent of a circle is always perpendicular to the radius, therefore:
DE ⊥ EA and CA ⊥ EA
As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.
Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.
As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.
Therefore:
[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]
[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]
[tex]\implies \sf BA=12[/tex]
Using Pythagoras' Theorem for ΔBED to find DB:
[tex]\implies \sf DE^2+EB^2=DB^2[/tex]
[tex]\implies \sf 10^2+24^2=DB^2[/tex]
[tex]\implies \sf DB^2=676[/tex]
[tex]\implies \sf DB=\sqrt{676}[/tex]
[tex]\implies \sf DB=26[/tex]
Using Pythagoras' Theorem for ΔBAC to find BC:
[tex]\implies \sf CA^2+BA^2=BC^2[/tex]
[tex]\implies \sf 5^2+12^2=BC^2[/tex]
[tex]\implies \sf BC^2=169[/tex]
[tex]\implies \sf BC=\sqrt{169}[/tex]
[tex]\implies \sf BC=13[/tex]
Therefore, the distance between the center of the circles DC is:
[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]
Use Pythagorean theorem
DB²=DE²+EB²DB²=10²+24²DB²=100+576DB²=676DB=26Now use proportion
DE/DB=AC/BC10/26=5/BC5/13=5/BCBC=13Now
DC=DB+BC=26+13=39
...................................
Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.
How to form equation and solve ?The fundraiser only have 3 prices for books which are $2, $5 and $10.
There were 6 more $5 books sold than $10 books sold.
Let
x = number of $10 book sold
Therefore,
number of $5 books sold = x + 6
There are 8 more $2 book sold than $10 book sold. Therefore,
number of $2 books sold = x + 8
A total of $250 was raised.
Therefore, the total amount sold forms the following equation:
10x + 5(x + 6) + 2(x + 8) = 250
10x + 5x + 30 + 2x + 16 = 250
17x = 250 - 30 - 16
17x = 204
x = 204 / 17
x = 12
learn more on equation here: https://brainly.com/question/27361014
Send helppppppppppppppp;((
Answer:
I will do only 1 sum bru.h
In the 1st sum
the 1st no. can be in 9 ways
the 2nd no. can be in 10 ways
the 3rd no. can be in 10 ways
the 4th no. can be in 10 ways
total no. of ways = 9 × 10 × 10 × 10
= 90 × 100
= 9000 ways
2nd one..
the 1st letter can be written in 4 ways
the 2nd letter can be written in 4 ways
the 3rd letter can be written in 4 ways
the 4th letter can be written in 4 ways
Total no. of ways = 4 × 4 × 4 × 4
= 16 × 16
= 196 ways
Algebra Find the value of each variable.
pls help
When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64
The value of the constant of variation is one-fourth. Then the correct option is A.
What is the constant of variation?The term "constant of variation" refers to the fact that the relationship between variables remains constant.
The formula will be
y = kx
where k is the variation constant.
When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be
n = kgf
Then the value of k will be
4 = (2)(8)k
k = 1/4
More about the constant of variation link is given below.
https://brainly.com/question/14254277
Answer:
Keep it simple. Answer: A
Step-by-step explanation:
Can someone please help me again! Tysm!!!
Answer:
129
Step-by-step explanation:
so they are basically the same angles but on different planes. Set them equal to each other.
14x+17=19x-23 solve for x
40=5x isolate x by dividing by 5
x=8
check
14(8)+17=19(8)-23
129=129
PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS
Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0
then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0
then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075
Answer:
1. true 2. false 3. false 4. true 5. false 6. false or true
Step-by-step explanation:
you're welcome
The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
-
42
45
48
51
54
57
60
Answer:
IQR = 5
Step-by-step explanation:
the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁
Q₃ is the value at the right side of the box plot , that is
Q₃ = 51
Q₁ is the value at the left side of the box plot , that is
Q₁ = 46
then
IQR = Q₃ - Q₁ = 51 - 46 = 5
There are 32 students in mr.Ryan’s class. 3/4 of the students have brown hair. The rest have blond hair. How many students have blond hair
Answer:
8
Step-by-step explanation:
32/4 = 8
8 = 1/4(32)
Answer:
8
Step-by-step explanation:
Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32
So 24/32 would have brown hair leaving 8 with blonde
¿Alguien me ayuda con estas ecuaciones? :(
Answer:
see below
Step-by-step explanation:
7x-12=30
7x=30-+12
x=42/7
x=6
5x-18=77
5x=77+18
x=95/5
x=19
8x+12=36
8x=36-12
x=24/8
x=3
x+45=72
x=72-45
x=27
x+27=82
x=82-27
x=55
x-13=66
x=66+13
x=79
what is 3.20 divided by 5
Answer:
0.64
Step-by-step explanation:
...........................
Answer:
0.64
Step-by-step explanation:
3.20 divided by 5 is 0.64.
100 points what is the percent of change from 75 to 14 round to the nearest percent
Let's see
75-14/75×10061/75×1006100/7581.33% Hamza decides to increase the prices of all items in his shop by 10%
a)
Work out the new price of an item normally priced at £210
b)
Work out the new price of an item normally priced at £48
Answer:
a=£231
b=£32.8
Step-by-step explanation:
get the percentage multiplied by the current price to get the increase then add the increaseto the current price
A gallon of milk costs $2.30. What is the cost per quart?
Answer:
57.5p
Step-by-step explanation:
$2.30 / 4 = 57.5p
Reggie writes the expression m + 8 × (2/3). Which expression is equivalent to the one Reggie writes?
Answer:
A
Step-by-step explanation:
A)(m+8)(2 ÷3)
Because 2/3 is just 2 divided by 3
Brainliest please?
Simplify the expression
3 (2d + 5) + 4d
Answer:
The answer is 10d + 15.
Step-by-step explanation:
Simplify the expression. Calculators are helpful for problems such as these...
Gavin invested $100 into a CD account. The account grow at a rate of 5%
each year. What type of equation do this scenario represent?
Answer: y=5x+100
Step-by-step explanation:
the y intercept is the 100$ invested into the account, and the rate of change is 5
What is the value of log subscript 0.5 baseline 16? –4.00 –0.25 1.51 2.41
Answer:
The correct option is a.
The given expression is,Use property of logarithm
The value of log(0.5) is -0.30103.
The value of given expression is -4.81648.
If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:
The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
A logarithm is a power to which a number must be raised in order to get some other number.
A logarithm is useful to find out the values on which power has a variable.
In another word, a logarithm is a different way to denote any number.
If you want to write 1 in logarithm then it will be log(base).
[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.
Let's say the given number is x then
x = [tex]log_{0.5}[/tex] (16)
[tex]0.5^{x}[/tex] = 16
Take log by both sides
Log[tex]0.5^{x}[/tex] = log 16
By log property
x log 0.5 = log 16
x = -4.00 hence, the correct answer to the given question will be -4.00.
For more about logarithm
https://brainly.com/question/20785664
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Which of these ordered pairs is a solution to the inequality
y – 2x ≤ –3?
Question 3 options:
(2, 4)
(–2, 3)
(3, 4)
(1, –1)
The answer is: (1, –1)
Write the ratio in simplest form: there are 6 red marbles and 22 blue marbles in a jar. What is the ratio of red marbles to blue?
Answer:
3 : 11Step-by-step explanation:
Given : the ratio of red marbles to blue marbles is 6 to 22
But ,we want to write the ratio in simplest form
therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.
→ So Let’s find the GCF(6 , 22)
Since 6 = 2 × 3
22 = 2 × 11
then ,GCF(6 , 22) = 2
Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11
If r(x) = 3x – 1 and s(x) = 2x 1, which expression is equivalent to (startfraction r over s endfraction) (6)? startfraction 3 (6) minus 1 over 2 (6) 1 endfraction startfraction (6) over 2 (6) 1 endfraction startfraction 36 minus 1 over 26 1 endfraction startfraction (6) minus 1 over (6) 1 endfraction
The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given binary functions are.
[tex]r(x) = 3x - 1[/tex]
[tex]s(x) = 2x +1[/tex]
The expression which has to be found out is,
[tex]\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)[/tex]
Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.
Learn more about the equivalent expression here;
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Pablo wanted to see if a 12-inch straw would fit inside a small retangular box. He noticed that it only fits diagonally. The box has a height of 2 inches and width of 3 inches. What is the length of the box?
Answer:
11.61895003862225
Step-by-step explanation:
CAN u pls pls pls help its easy for yall not me im slow
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
2.25/.5
Late night math for you guys to solve
The zeros of a quartic polynomial function are 2, -2, 4, and -4. Use the zeros to construct a possible sketch of the function on the set of axes
The sketch of the function on the set of axes is given below:
What are Zeros?The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.
Finding the function:As we have the zeros 2,-2,4,-4
The function can be:
[tex]f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64[/tex]
The sketch using a graphing calculator:
Learn more about Zeros:
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-1.9y=2.47
rational equations!
please helP!
Answer: y = -1.3
Step-by-step explanation:
Find the surface area of the cube shown below.
units 2 1/2
Answer:
Step-by-step explanation:
Answer: 37.5
Explanation: find the surface area of one side, which is 2.5*2.5=6.25 then multiply that product by six, since there’s six sides in a square, and you’ll get 37.5
3x-2y=-3,-9x+6y=9 solve each system using elimination, state the solution and type of system.
We will see that the system of equations has infinite solutions, each of the form:
y = (3/2)*(x + 1)
How to solve the system of equations?Here we have the system:
3x - 2y = -3
-9x + 6y = 9
Notice that if we add 3 times the first equation to the second one, we get zero.
3*(3x - 2y) + -9x + 6y = 3*(-3) + 9
9x - 6y - 9x + 6y = -9 + 9
0 = 0
This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:
3x - 2y = -3
2y = 3 + 3x
y = (3/2)*(x + 1)
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
14=v/17.92+7. Solve for v
Answer:
125.44 = v
Step-by-step explanation:
14 = [tex]\frac{v}{17.92}[/tex] + 7
7 = [tex]\frac{v}{17.92}[/tex]
7(17.92) = v
125.44 = v
Hope this helps!
Answer:
[tex]v = 125.44[/tex]
Step-by-step explanation:
I assume you mean to solve [tex]14=\frac{v}{17.92}+7[/tex]Subtract 7 from both sidesThis gives [tex]7=\frac{v}{17.92}[/tex]Multiply both sides by 17.92[tex]v=125.44[/tex]