Answer:
5
Step-by-step explanation:
If Lisa has x quarters and Brenda has 3x quarters, we can write:
80% * 3x = 4 + (20% * 3x + x) -- We write 4 because 1 dollar = 4 quarters
0.8 * 3x = 4 + (0.2 * 3x + x)
2.4x = 4 + 1.6x
0.8x = 4
x = 5
There were 56 females and 84 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answer:
3:5 or 3/5
Step-by-step explanation:
We know that there are -->
56 Females
84 Males
We need to find the total amt. of ppl
56 + 84 = 140
Males/140 --> Plug 84 in => 84/140
Since it wants simplified, divide both by 7 as 7 is a factor of both -->
12/20 --> Divide by 4
3/5 => This is the most simplified we can get and -->
thus, our answer is 3:5 or 3/5
Hope this helps!
Given the sequence 38, 32, 26, 20, 14, ..., find the explicit formula.
Answer:
The explicit formula for the sequence is
44 - 6nStep-by-step explanation:
The above sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 38
d = 32 - 38 = - 6 or 20 - 26 = - 6 or
14 - 20 = - 6
So the formula for the sequence is
A(n) = 38 + ( n - 1)-6
= 38 - 6n + 6
We have the final answer as
A(n) = 44 - 6nHope this helps you
Answer:
[tex]\huge\boxed{a_n=-6n+44}[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
32 - 38 = -6
26 - 32 = -6
20 - 26 = -6
14 - 20 = -6
The common difference d = -6.
The explicit formula of an arithmetic formula:
[tex]a_n=a_1+(n-1)(d)[/tex]
Substitute:
[tex]a_1=38;\ d=-6[/tex]
[tex]a_n=38+(n-1)(-6)[/tex] use the distributive property
[tex]a_n=38+(n)(-6)+(-1)(-6)\\\\a_n=38-6n+6\\\\a_n=-6n+(38+6)\\\\a_n=-6n+44[/tex]
4xy-3x+8y2-6y 8y-6 please help someone thank you
Answer:
x=6, y=2.5
Step-by-step explanation:
Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality. please answer in detail
Answer
so,if x*y> than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero. now , we also know, that a negative times a negative is positive, and a positive times a positive times a positive is a positive
Step-by-step explanation:
The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probability that the next failure will not occur before 30 months have elapsed
Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
what is the exact area of a circle having diameter 4in
the dot plot shows the number of text messages mr.garcia sent each day so far this month. which statement best describes the shape of the graph?
Answer:
where is the dot plot also describe if it increases or decreases
22. “n is less than 15 and greater than or equal to 3”
Complete the following steps to receive full credit for this question:
• The inequality translated in numerical form
• The solution graphed on a number line
• The solution in interval form
Answer:
3 ≤ n < 15
not nnot nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nyes nnot n1-2. not n
3-4. yes n
5-6. yes n
7-8. yes n
9-10. yes n
11-12. yes n
13-14. yes n
15-16. not n
Step-by-step explanation:
Everything on this side is less than, < but everything on this side is greater.
Everything on this side could be equal or less, ≤ but everything on this side is
not.
I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.
Intervals has each point represent more than one number making the line shorter.
Find the values of k so that the area of the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units
Step-by-step explanation:
We need to find the value of k so that the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units.
The area of triangle is given by :
[tex]A=\dfrac{1}{2}\times [x_1(y_2-y_3)-x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
Here,
x₁ = 1, y₁ = -1, x₂ = -4, y₂ = 2k, x₃ = -k and y₃ = -5
So,
[tex]24=\dfrac{1}{2}\times [1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]
We need to solve the above equation,
[tex]48=[1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]
On solving the above equation we get the value of k as :
k = 4.7
I need help with this please answer
Answer:
B. [tex]1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]
[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]
[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7
8/7=[tex]1\frac{1}{7}[/tex]
Hope this helped!!!
In ∠QRS, m∠R=65°, and m∠S=35°. Which side of ΔQRS is the longest?
Answer:
The longest side of the ΔQRS is Side RS.
Step-by-step explanation:
Given: m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.
To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.
Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.
A box is filled with 9 red crayons, 2 blue crayons, and 5 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon. Write your answer as a fraction in simplest form.
Answer:
[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]
Step-by-step explanation:
Given
[tex]Red = 9[/tex]
[tex]Blue = 2[/tex]
[tex]Yellow = 5[/tex]
Required
Probability of Red or Blue
First, it should be noted that the event described in the question are mutually exclusive or disjoint events;
Meaning that the probability of one have no effect the other;
Having said that; the Probability of Red ot Blue is as follows
[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]
Calculating [tex]P(Blue)[/tex]
[tex]P(Blue) = Number\ of\ blue\ crayon / total\ crayon[/tex]
[tex]P(Blue) = \frac{2}{9+ 2 + 5}[/tex]
[tex]P(Blue) = \frac{2}{16}[/tex]
Calculating [tex]P(Red)[/tex]
[tex]P(Red) = Number\ of\ red\ crayon / total\ crayon[/tex]
[tex]P(Red) = \frac{9}{9+ 2 + 5}[/tex]
[tex]P(Red) = \frac{9}{16}[/tex]
Substitute these values in the formula given above
[tex]P(Red\ or\ Blue) = P(Red) + P(Blue)[/tex]
[tex]P(Red\ or\ Blue) = \frac{9}{16} + \frac{2}{16}[/tex]
Take LCM
[tex]P(Red\ or\ Blue) = \frac{9 + 2}{16}[/tex]
[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]
Hence, the probability of a red or blue crayon is
[tex]P(Red\ or\ Blue) = \frac{11}{16}[/tex]
(Please help ) Find the value of x in the isosceles triangle shown below
Answer:
x=2
Step-by-step explanation:
Using the formula, a squared plus b squared equals c squared, we can see that 4 squared=16, so x=2.
To check our work, let's use the formula. 4 squared+2 squared=16+4=20.
let [tex]p=x^{2}+6[/tex]
Which equation is equivalent to [tex](x^{2}+6)^{2}-21=4x^{2}+24[/tex] in terms of [tex]p[/tex]?
Answer:
Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7
So:
(x² - 7)² - 4x² + 28 = 5
(p)² - 4x² + 28 = 5 You can factor out -4 from (-4x² + 28)
p² - 4(x² - 7) = 5 Plug in p
p² - 4p = 5 Subtract 5
p² - 4p - 5 = 0 And, your correct answer is C.
Hope It Helps!~
ItsNobody~ ☆
which of the following is equivalent to (x+4)(3x^2+2x)??
Answer:
c
Step-by-step explanation:
Explain how you would decide whether to use a dot plot or a box plot to display a data set. Give some strengths and weaknesses of each type of display to support your explanation.
Answer:
A box plot should be used in a situation when you need the median and quartiles. A dot plot should be used when you need exact numbers. The strengths of a box plot is that it shows a big data sets into a rounded form. The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.
Hope this helped?
The vertex of this parabola at (-5,-2). When the c - value is -4 the y-value is 2 what is the coefficient of the squared expression in the parabolas equation. ( to answer gets brainliest )
Answer:
4
Step-by-step explanation:
The vertex formula of a quadratic equation is:
●y= a(x-h)^2 +k
(h,k) are the coordinates of the vertex
Here: h = -5 and k= -2
y is 2 and x is -4
● 2 = a (-4-(-5))^2 + (-2)
● 2 = a (-4+5)^2 -2
● 2 = a *1^2 -2
● 2 = a -2
● 4 = a
Find the midline for f(x)=2cos(3x−5π6)−2
Answer: y = -2
Step-by-step explanation:
f(x) = A cos (Bx - C) + D
↓
center line (aka midline)
f(x) = 2 cos (3x - 5π/6) - 2
↓
midline = -2
The midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D
What is cos function?It is defined as a function that is sin-cos wave in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.
It is given that the cos function is:
f(x) = 2cos(3x - 5π/6) - 2
As we know, the standard form of the cos function is:
f(x) = Acos(Bx - C) + D
Here, A is the amplitude
B is the period of the cos function
C is the phase shift of the cos function
D is the vertical shift of the cos function/midline
On comparing:
D = -2
The midline:
y = -2
Thus, the midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D
Learn more about the cos function here:
https://brainly.com/question/14397255
#SPJ5
A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids. 70 cm70\text{ cm} 70 cm 140 cm140\text{ cm} 140 cm How much paper will it take to make each tree, including the bottom?
Answer:
24500 cm^2
Step-by-step explanation:
Many websites have ads whose appearance is based onprobability. Advertisers pay the website based on the number of timesthe ad appears.a. The probability that an ad appears when a particular website isloaded is 0.2. The website gets 2000 hits a day. About how manytimes does the ad appear?b. The probability that an ad appears when a particular website isloaded is 0.05. About how many hits must the website have for thead to appear 1000 times?
Answer:
A. How many times the ad appear:
= 400 times
B. How many hits the website must have for thread to appear 1000 times with 0.05 probability that an ad appears when the website is loaded.
= 20,000 hits
Step-by-step explanation:
A. The probability that an ad appears when a particular website is loaded = 0.2
When the website gets 2,000 hits a day, the ad appears
= 2,000 x 0.2
= 400 times
B. When the probability that an ad appears when the website is loaded is 0.05.
Therefore, the website must have 20,000 hits for thread to appear 1,000 times
= 1,000/0.05
= 20,000 times
The probability of an ad appearing when a website is loaded is the chance that the event happens (i.e. the ad appears) from the many events that can happen.
I WILL GIVE BRAINLIEST!!!! Calculate cos M if a= 4, b= 12.5, c= 13.1244 **Round your answer up to four decimal places.
Answer:
cosM ≈ 0.3048
Step-by-step explanation:
remember SOH CAH TOA = sine: opposite/hypotenuse; cosine: adjacent/hypotenuse; tangent: opposite/adjacent
cos = CAH
cosM= a / c
cosM = 4.0 / 13.1244
cosM = 0.30477
cosM ≈ 0.3048
A. 60
B. 15
C. 120
D. 6
Answer:
C. 120
Step-by-step explanation:
The figure shows that angles BEC and KEC are congruent. Their measures are equal.
m<KEC = m<BEC
10x = 6x + 24
4x = 24
x = 6
m<BEK = 2m<KEC
m<BEK = 2 * 10x
m<BEK = 2 * (10)(6)
m<BEK = 2 * 60
m<BEK = 120
I need help with this problem! Must explain why.
Answer:
95°
Step-by-step explanation:
Angle 1 and 4 are opposite angles, thus equal, so:
3x+10 = 4x-15 =>
x = 25
Angle 1 and 4 are 85°
Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.
Angle 6 and 7 are again opposite, so angle 7 is 95° as well!
Solve the inequality for y.
y - 9x > 6
please help!!!!!!!
Answer:
y>9x+6
Step-by-step explanation:
y-9x+(9x)>6+(9x)
y>9x+6
HELP!! please. What is the area of the polygon shown?
Answer:
38 cm squaredStep-by-step explanation:
Given figure : Trapezoid
Base sides,
a = 11 cm
b = 11 - 3 = 8 cm
height ( h ) = 4 cm
Now, finding the area:
[tex] \frac{1}{2} (a + b) \: h[/tex]
plug the values
[tex] \frac{1}{2} \times (11 + 8) \times 4[/tex]
Calculate the sum
[tex] \frac{1}{2} \times 19 \times 4[/tex]
Reduce the numbers with G.C.F 2
[tex]19 \times 2[/tex]
Calculate the product
[tex]38 \: {cm}^{2} [/tex]
Hope this helps...
Best regards!
The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room.
Answer:
Length = 25 cmBreadth = 10 cmStep-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be '[tex]2 \frac{1}{2} x = \frac{5}{2} = 2.5 \: x[/tex]'
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = [tex]2(l + b)[/tex]
plug the values
[tex]70 = 2(2.5x + x)[/tex]
Collect the like terms
[tex]70 = 2 \times 3.5x[/tex]
Calculate the product
[tex]70 = 7x[/tex]
Swap the sides of the equation
[tex]7x = 70[/tex]
Divide both sides of the equation by 7
[tex] \frac{7x}{7} = \frac{70}{7} [/tex]
Calculate
[tex]x = 10 \: cm[/tex]
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = [tex]2.5x[/tex]
Plug the value of X
[tex] = 2.5 \times 10[/tex]
Calculate the product
[tex] = 25 \: cm[/tex]
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produced 1,400 tons of bricks in 1991, what was the Consolidated Brick Company’s total output that year, in tons?
Answer:
3500 tons
Step-by-step explanation:
The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.
Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.
Therefore:
g = 2/5 * c = 2c/5
That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:
1400 = 2c/5
To find the amount that the Consolidated Brick Company produced, solve for c:
1400 = 2c/5
1400 * 5 = 2c
7000 = 2c
c = 7000 / 2 = 3500 tons
The Consolidated Brick Company had a total production output of 3500 tons in 1991.
Please give me the correct answer
Answer:
e=9.14
Step-by-step explanation:
e²=a²+b²-2abcosФ
e²=36+25-2(30)cos112
e=√36+25-2(30)cos112
e=9.14
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!! Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Answer:
A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.
Step-by-step explanation:
Answer:
WHEN U GRAPH WITH A CALCULATOR IT IS MUCH MORE ACCURATE
ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER ENDS
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
what is the value of x? enter your answer in the box
Answer:
[tex]\boxed{x = 45\ degrees}[/tex]
Step-by-step explanation:
x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)
x = 45 degrees
Answer: 45
Step-by-step explanation:
The sum of a triangle's angles will always be 180 degrees. If we subtract 80 and 55 from 180, we will get the missing angle.
[tex]180-80-55=45[/tex]
Thus, the missing angle is 45 degrees.