PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem.
Use the variable r to represent the speed of the slower cyclist. b. What are the speeds of the two cyclists? _______________
Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
The endpoints of a line are (10, 4) and (-2, 8). Find the slope of
the line.
The equivalent equation is found by distributing the
1
to get
4.
The question is incomplete, complete version is written in the comment section below :
Answer:
Kindly check explanation
Step-by-step explanation:
1 / 4 (16 + 12x) = 28
Opening the bracket :
1/4 * 16 + 1/4 * 12x = 28
4 + 3x = 28
Subtract 4 from both sides :
4 + 3x - 4 = 28 - 4
3x = 24
Divide both sides by 3
3x / 3 = 24 / 3
x = 8
A line has a slope of -2/3 and passes through the point (-3, 8). What is the equation of the line?
y= -2/3x + 6
y= -2/3x + 8
y= 6x- 2/3
y= 8x- 2/3
Answer:
y= -2/3x+6
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -2/3x +b
Substitute the point into the equation
8 = -2/3(-3) +b
8 = 2+b
8-2 =b
6=b
y= -2/3x+6
evaluate the expreesion 41
Answer:
i'm pretty sure 41 is not an expression
Step-by-step explanation:
Help please!!!!!!!!!!!!!!!!!!
a number decreased by 22% is 117. What is the number?
Answer:
Old number = 150
Step-by-step explanation:
Given information;
Percentage decreased = 22%
New number obtain = 117
Find:
Old number
Computation:
Old number = New number obtain[100 / (100 - 22)]
Old number = 117[100 / (100 - 22)]
Old number = 117[100 / (78)]
Old number = 11,700 / 78
Old number = 150
the voltage in a lightbulb is given by the equation V= IR. in this equation V is the voltage, I is the current , and R is the resistance. what is the current in a lightbulb with a voltage of 35.0 V and a resistance of 175
Answer:
a
Step-by-step explanation:
Solve x2 + 4x + 3 = 0 by completing the square.
options:
–6, –1
–3, –1
1, 3
–6, –2
Answer:
-3,-1
Step-by-step explanation:
x²+4x+3=0
x²+4x=-3
x²+4x+(2)²=-3+(2)²
(x+2)²=-3+4
(x+2)²=1
Take square root of both sides
x+2=±1
x=-2±1
x=-1 or-3
ANSWER QUICKLY!!! What is the median of Restaurant B's cleanliness ratings?
4
3
1
5
2
two angles are complementary. The measure of one angle is 15° more than one-half of the measure of the other. Find the measure of each angle.
Answer:
Step-by-step explanation:
First you have to know two definitions. Well, you only have to know one for this problem, but you should probably learn the 2nd just to be thorough.
Definition 1: Complementary angles are two angles whose sum is 90 degrees.
Definition 2: Supplementary angles are two angles whose sum is 180 degrees.
For this problem, we'll work with the definition that says two complementary angles have a sum of 90 degrees.
Soooo, here are the facts from your problem: if one angle is 15 degree more than 2 times the other.find the measure of two angles.
Let's let the larger angle equal this: 15 + 2(x) (<--See how it is 15 degrees MORE than 2 times the other?)
Let's let the smaller angle equal: x
SO now our total equation is:
15 + 2(x) + x = 90
3x + 15 = 90 (combined like terms)
3x = 75 (subtracted 15 from both sides)
x = 25 (divided both sides by 3)
Now we know that one angle is 25. The other angle must add to 25 to make 90 degrees, so 90 - 25 = 65.
Therefore, your two angles are 25 and 65 degrees.
Does this check out? Let's see...
First: 25 + 65 = 90 Therefore, this checks out.
Second: The angle that is 65 degrees must be 15 degrees more than twice the other. So, let's take twice the other...... 25 * 2 = 50. And, let's add 15....50 + 15 = 65. Therefore YES, the 2nd angle is 15 more than 2 times the angle that was 25 degrees.
I hope this is helpful. :-)
In how many ways can a sample of 6 keyboards be selected so that exactly two have an electrical defect
Answer:
15ways
Step-by-step explanation:
This is a combination question since combination has to do with selection. Hence the number of ways sample of 6 keyboards can be selected so that exactly two have an electrical defect is expressed as;
6C2 = 6!/(6-2)!2!
6C2 = 6!/4!2!
6C2 = 6×5×4!/4!×2
6C2 = 6×5/2
6C2 = 30/2
6C2 = 15
Hence this can be done in 15ways
At a store sales tax is charged at a rate of 2% on the cost price of an item . the sales tax on a dress which cost $180 is
Answer:
$3.60
Step-by-step explanation:
100% = 180
1% = 180/100 = $1.80
2% = 1%×2 = 1.8×2 = $3.60
On dividing 12x³ by 4x the quotient is …..
Answer:
12x^3 is equivalent to
12x*12x*12x which if we multiply is
1728x
we divide by 4x
1728x divided by 4x=432x
Hope This Helps!!!
Answer:
3x^2
Step-by-step explanation:
when u divide 12x^3/4x....u divide 12/4=3 along with the x also..tat is x^3/x=x^2
I WILL GIVE BRAINLIEST FAST
Answer:
is opposite line BC. Answer is letter E.
solve the inequality x^3+4x>5x^2 please show steps and interval notation. thank you.
Answer: [tex]x\in (0,1)\cup (4,\infty)[/tex]
Step-by-step explanation:
Given
In equality is [tex]x^3+4x>5x^2[/tex]
Taking terms one side
[tex]\Rightarrow x^3-5x^2+4x>0\\\Rightarrow x(x^2-5x+4)>0\\\Rightarrow x(x^2-4x-x+4)>0\\\Rightarrow x(x-4)(x-1)>0\\\Rightarrow (x-0)(x-1)(x-4)>0[/tex]
Using wavy curve method
[tex]x\in (0,1)\cup (4,\infty)[/tex]
Which among the following numbers could be the probability of an event? 1,1.4,-0.54,.32,.02,0
In other words, choices B and C are the non-answers while everything else is an answer.
==============================================================
Explanation:
Let p represent the probability of an event. The value of p must be between 0 and 1, inclusive of both endpoints. Symbolically, we can write [tex]0 \le p \le 1[/tex]
In other words, p = 0 is the smallest it can get and p = 1 is the largest it can get, or it could be anything in between.
The probability p = 0 means that the event will never happen, or there's 0% of it happening. The probability p = 1 means there's 100% certainty the event will happen.
Something like p = 1.4 is not possible as this indicates it's over 100%. So that rules out choice B. Choice C is also ruled out because we can't have negative probabilities.
If (3x − 2)(3x + 2) = ax2 − b, what is the value of a?
(3x-2)(3x+ 2)
Multiply each term in one set of parentheses by the other terms:
3x x 3x =9x^2
3x x 2 = 6x
-2 x 3x = -6x
-2 x 2 = -4
Combine to get:
9x^2 + 6x - 6x -4
Combine like terms:
9x^2 - 4
The value of a would be 9.
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
(3x − 2)(3x + 2) = ax2 − b⠀⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀what is the value of a?⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
At first we have to solve the value of (3x-2)(3x+2)
[tex]\sf{(3x-2)(3x+2) }[/tex] [tex]\sf{3x(3x+2)-2(3x+2) }[/tex] [tex]\sf{9x^{2}+6x-6x-4 }[/tex] [tex]\sf{9x^{2}-4 }[/tex]According to the question,
[tex]\sf{ (3x − 2)(3x + 2) = ax^{2} − b }[/tex] [tex]\sf{9x^{2}-4=ax^{2}-b }[/tex] [tex]\sf{9x^{2}=ax^{2}~and~-4=-b }[/tex] [tex]\sf{a=9~and~b=4 }[/tex]⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
Hence,
The value of a is 9
you are making meat loaf with yield: 50, 4oz portions what is the total recipe cost
Answer:
[tex]200oz[/tex]
Step-by-step explanation:
The question says that there are [tex]50[/tex] portions that are [tex]4oz[/tex] each.
Write an equation
[tex](50)4oz[/tex]
Simplify
[tex]200oz[/tex]
12. A professor creates a boxplot of test scores for 26 students in a statistics course. What percentage of students scored above 81
Answer:
25%
Step-by-step explanation:
Based on the boxplot given ;
The boxplot can be summarized as follows :
Lower quartile, Q1 = 50 (starting point of the box)
Median (Q2), 50th percentile = 70 (vertical line in between the box)
The upper quartile marks the 75th percentile, Q3 = 81 (end point of the box)
The total distribution is 100% and hence, the percentage above the score 81 will be :
100% - 75% = 25%
what is 1.8 in written notation
Answer:
The answer is 1/8
Please help! Variables!!
Answer:
-x^4, and (2√x)/x
Step-by-step explanation:
4. [tex]- \sqrt{ x^{8} } = - \sqrt{x^{4} *x^{4} } = -x^{4}[/tex]
x^8 = x*x*x*x*x*x*x*x = (x*x*x*x)(x*x*x*x) = (x^4)(x^4)
5.
[tex]\sqrt{\frac{4}{x} } = \frac{\sqrt{4} }{\sqrt{x} } = \frac{2}{\sqrt{x} } \\\\\\\frac{2}{\sqrt{x} } * \frac{\sqrt{x} }{\sqrt{x} } = \frac{2\sqrt{x} }{x}[/tex]
The ages of subscribers to a certain newspaper are normally distributed with mean 35 years and standard deviation 5. What is the probability that the age of a random subscriber is more than 40 years?
Answer:
0.1587
Step-by-step explanation:
Applying,
P(μ>40) = P(μ-(x-μ)/σ)............. Equation 1
Where P(μ>40) = probability of the age of the random subscriber more than 40 years μ = mean, σ = standard deviation, x = random subscriber
From the question,
Given: μ = 35 years, σ = 5 years, x = 40 years.
Therefore,
P(μ>40) = P(35-(40-35)/5) = P(35-(5/5)
P(μ>40) = 1-φ(1)
From the norminal probabilty table,
P(μ>40) = 1-0.8413
P(μ>40) = 0.1587
rotation 90° clockwise about the origin
Answer:
Take the picture you uploaded.
Click the rotate 'button' once.
Change the x to y and y to x on the graph. (axis labels)
Done
J (0, -1)
K(-4,-3)
I ( -4,-1)
1. Which of the following is equivalent to 7a4 + 3a"?
O (7+3)a4+4
O (7-3)a+
O (743)a+
O (7.3)a4+4
Both the question and options given doesn't seem to be properly formatted. A well formatted form of the question is written in the comment section below.
Answer:
10a^4
Step-by-step explanation:
Given the expression :
7a^4+3a^4
The sum of the expression given above could be taken directly Since the power of each individual value is the same.
7a^4+3a^4
Adding the coefficients
(7+3)a^4
10a^4
can someone tell me if why these triangles are similar
Answer:
Step-by-step explanation:
If the triangles given in the picture are similar,
ΔVUT ~ ΔVLM
By the property of similarity of two triangles, their corresponding sides will be proportional.
[tex]\frac{TV}{VM}= \frac{VL}{VU}[/tex]
[tex]\frac{49}{14}=\frac{28}{8}[/tex]
[tex]\frac{7}{2}=\frac{7}{2}[/tex]
True.
Therefore, ΔVUT and ΔVLM will be similar.
Determine the volume of this object
1) 113 mm
2) 226.1 mm
3) 339.1 mm
4) 450 mm
Answer:
I think it would be 450 mm.
Which of the following is equivalent to
5v13^3
Answer:
13⅗ is the answer of your quest
Women's heights are normally distributed with a mean given by p = 63.6 in. and a standard deviation given by o = 2.5 in. (a) If 1' woiman is randomly selected, find the probability that her height is less than 67.4 in. Enter a number correct to 4 decimal places: (b): 1f 64 women are randomly selected, find the probability that they will have a mean height less than 67.4 in. Enter a number correct to 4 decimal places:
Step-by-step explanation:
I am sorry question samajh Nahin a Raha question dijiye
please simplify this one. I need answers fast as possible.
This is the answer.
Hope it helps!!
Answer:
[tex]120.\sqrt{2}.\sqrt[3]{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{32} = \sqrt{16.2} =\sqrt{4^{2}.2} = 4\sqrt{2}[/tex]
[tex]\sqrt[3]{81} =\sqrt[3]{27.3} =\sqrt[3]{3^{3}.3 }=3\sqrt[3]{3}[/tex]
∴[tex]5\sqrt{32}.2\sqrt[3]{81} =5. [4\sqrt{2}].2.[3\sqrt[3]{3} ][/tex]
[tex]=120.\sqrt{2}.\sqrt[3]{3}[/tex]
