Answer:
8.3
Step-by-step explanation:
8.25 has to round up because of the five making it 8.3
A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3
Answer:(b) step 1
Step-by-step explanation:
The wrong step in the student's workings is step 1
How to determine the wrong step?The equation is given as:
x^2 - 2x - 8 = 0
Expand the equation
x^2 + 2x - 4x - 8 = 0
Factorize the equation
x(x + 2)- 4(x + 2)
Factor out x + 2
(x - 4)(x + 2) = 0
The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0
This means that the step 1 of the student's step is wrong and incorrect
Read more about equations at:
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What is the solution to the following system of equations?
y = -x - 3 y = 1/2x
Answer:
3?
Step-by-step explanation:
A kennel has 65 dogs in total some are puppies and some are adult dogs the ratio of puppies to adult dogs in a kennel is 2:3 how many puppies are there
Answer:
26 puppies
Step-by-step explanation:
Step one:
Given data
We are given that there are 65 dogs in total
The ratio of puppies to adult dogs in a kennel is 2:3
Total ratio= 2+3= 5
Required
The number of puppies in the kennel
Step two:
Let us the part to all method to find the number of puppies
let the number of puppies be x
2/5=x/65
cross multiply we have
5x= 65*2
5x= 130
divide both sides by 5
x= 130/5
x=26 puppies
Also, the number of adults dog is
65- 26= 39
6 quarts =
gallons
Please i meed help answer fast
Answer:
1 2/4 or 1.5
Explanation:
There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D
Hope this helped!
PLZ HELP U GET 10 POINTS PLZZZZZ
Write 9 as a product of primes use index notation when giving answer what's the answer
Answer:
3x3 =9
3 is a prime number, 3x3=9
The company that owns the telescope gives a discount of $8 off the rental fee for every rental hour after the first two hours. The team of three astronomers will rent the telescope for 5 hours.
A company interested in the astronomers' research has agreed to pay for 40% of the telescope rental costs. If the astronomers divide up the remaining costs evenly, how much will each of them pay for the 5 hours of rental time?
Answer:
20
Step-by-step explanation:Please give me a brainly
Please help, I'll give you 20 points
Answer: y=1/2x+-4
(You cant give a certain number of points btw)
11
Which correctly explains how to use place value and the distributive property to find the product of 742 and
Answer:
6678
Step-by-step explanation:
742 = 700+40+2
(700+40+2)*9 = 700*9+40*9+2*9 = 6300+360+18 = 6678
Answer:
D Write 742 as 700 + 40 + 2. Multiply each addend by 9. Then add the three products to get 6,678.
Step-by-step explanation:
I did the math >:3
sorry if it's wrong
Need this very badly giving 10 points
Answer:
A is your answer
Step-by-step explanation:
width= 9 cm
length= 5 cm
height= 20cm
formula: 2(lw+lh+hw)
2(5*9+ 5*20+ 20*9)
2(45+ 100+ 180)
2(325)= 650 cm
PLEASE I NEED HELP URGENTLY
A long-distance phone company charges $4.95 month plus an additional $.10 per minute. a. Define a variable and write a formula to find the total cost per month for long-distance service. b. Use this formula to find the long-distance charges for 120 minutes of calls in one month.
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
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A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.
Answer:
60xcm^3
Step-by-step explanation:
6 times 10 times x
60x
Need to know the following angle
Given:
[tex]m\angle A=(2x-15)^\circ[/tex]
[tex]m\angle B=(x-5)^\circ[/tex]
[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]
To find:
The [tex]m\angle ABC[/tex].
Solution:
In triangle ABC,
[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex] [Exterior angle theorem]
[tex]148=(2x-15)+(x-5)[/tex]
[tex]148=3x-20[/tex]
[tex]148+20=3x[/tex]
[tex]168=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{168}{3}=x[/tex]
[tex]56=x[/tex]
Now,
[tex]m\angle ABC=(x-5)^\circ[/tex]
[tex]m\angle ABC=(56-5)^\circ[/tex]
[tex]m\angle ABC=51^\circ[/tex]
Therefore, [tex]m\angle ABC=51^\circ[/tex].
Annie rounds 280.05 to the nearest hundred.
Bobby rounds 280.05 to the nearest ten.
Ciro rounds 280.05 to the nearest integer.
Denise rounds 280.05 to the nearest tenth.
What is the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer?
Answer: 280.1
Step-by-step explanation: so the reason this is right is because any number under 5 would round it down but 5 and up and it would round up.
Based on the information given in the diagram, choose all of the statements that are correct.
Answer:
i think its the last one
Step-by-step explanation:
i think its the last on ig
The true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PM What are congruent triangles?Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.
Given is a triangle as shown in the image.
It is clear that the measure of ∠MNP is less than ∠ONP as
∠MNP = 38° < ∠ONP = 39°
The line NP ≅ NP as it is common to both sub - triangles and has same length.
OP > PM since ∠ONP = 39° > ∠MNP = 38°
Therefore, the true statements from the given statements are -
∠MNP < ∠ONP NP ≅ NPOP > PMTo solve more questions on congruent triangles, visit the link below-
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amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?
Answer:
88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is
you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2
either way his normal weight is 79.2kg
Mark tried to pour 36 ounces of tea into 3 cups After filling the cups to the top there was still 13.5 ounces left in his tea pot if each cup is the same size how much tea is in each cup
Answer:
12
Step-by-step explanation:
its 12
Jack wants to lose some weight and is highly motivated to follow the orders of his doctor. His doctor has given him a goal that he is to decrease his weight by 2 3/8 pounds per week. If Jack weighs 250 pounds
when he starts the diet, how much will he weigh after five weeks on the
diet?
Answer:
The answer would be 11 7/8 pounds
Step-by-step explanation:
2 3/8 times 5 equals 11 7/8.
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist.
Is x + 5 a factor of P(x) = x ^ 3 + 4x ^ 2 + 2x + 35
Answer:
yes
Step-by-step explanation:
If ( x + 5) is a factor of p(x) then p(- 5) = 0
p(- 5)
= (- 5)³ + 4(- 5)² + 2(- 5) + 35
= - 125 + 100 - 10 + 135
= 0
Since p(- 5) = 0 then (x + 5) is a factor of p(x)
Answer:
(x +5 ) is a factor
Step-by-step explanation:
x + 5 = 0
x = -5
P(x) = x³ + 4x² + 2x + 35
P(-5) = (-5)³ + 4*(-5)² + 2*(-5) + 35
= -125 + 4*25 - 10 + 35
= -125 + 100 - 10 + 35
= -25 -10 +35
= -35 + 35
= 0
P(-5) = o. So, (x +5 ) is a factor
Solve 11x - 6 = 10.5
Answer:x= 1.5
Step-by-step explanation:
I think
Answer:
X=1.5
Steps:
11x-6=10.5
11x=16.5
x=1.5
To solve the equation 2−5(3+4x)=2x+7, Miranda's first step was to write 2−15−20x=2x+7. Which property did Miranda use in her first step?
Answer:
Step-by-step explanation:
distributive
Which of the following is the slope of the line that passes through the points
(-3, 5) and (1,15) ?
a) 5
b) -3
C)7/3
D)5/2
This is my last question!! I need help
Answer:
c) 533
Step-by-step explanation:
Use the trigonometry theorem
tan10°= 94/x
x=533
find the value of x. round your answer to the nearest tenth.
I WILL GIVE YOU BRAINLY PLSS
Translate the phrase: twice m increased by 2 is equal to 7 more than m.
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
C. 2m * 2 = m + 7
PLSS SHOW YOUR WORK PLSS
twice m is 2m, increased by 2 is + 2, equals 7 more than m is m + 7. So C is your correct answer.
Answer:
C
Step-by-step explanation:
twice m increased by 2, is basically 2m + 2. Seven more than m translate to m+7. Hope that helps.
The organization sent
out 640 invitations to a
fundraiser. Of those
invited 416 attended.
What percent of the
people invited attended
the fundraiser?
Answer: 65%
Step-by-step explanation:
The organization sent out 640 invitations.
416 out of this 640 attended the fundraiser.
The percentage who attended is:
= 416/ 640
= 0.65
= 65%
Which equation represents a linear function?
x= 3
y=-3x + 10
y = 150
y = 3x2 + 1
Hiii I’m new I need help
On this question pls thank you
Answer:
answer 2
Step-by-step explanation:
-8 - 4 = -2 + n - 6 - 8n please I need the answer
please help as soon as possible
Step-by-step explanation:
HERE,
angle A=x+5
angle B=3x
angle C=x
we know that,
sum of three angle of a triangle =180°
According to the question,
[tex]\tt{ x+5+3x+x=180 }[/tex]
[tex]\tt{5x+5=180 }[/tex]
[tex]\tt{ 5x=180-5 }[/tex]
[tex]\tt{5x=175 }[/tex]
[tex]\tt{ x=\dfrac{175}{5} }[/tex]
[tex]\tt{x=35 }[/tex]
So,
[tex]\bold{\angle{B}=3x=3×35=105° }[/tex]