Answer:
The factors are: (x - 8) and (x + 7)
Step-by-step explanation:
Given
[tex]x^2 - x - 56 = 0[/tex] -- the right equation
Required
Select the factors of the equation
[tex]x^2 - x - 56 = 0[/tex]
Expand the equation
[tex]x^2 + 7x - 8x - 56 = 0[/tex]
Factorize:
[tex]x(x+7)-8(x+7) =0[/tex]
Factor out x + 7
[tex](x-8)(x+7) =0[/tex]
Hence, the factors are: (x - 8) and (x + 7)
Jenny bought gas for her car gas cost $3.45 per gallon Jenny bought 12.5 gallons what was the total of Jenny's gas
Answer: $43.13
Step-by-step explanation:
The cost of a gallon of gasoline is $3.45.
Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:
= Cost of a gallon * number of gallons purchased
= 3.45 * 12.5
= $43.13
Answer:
43.14
Step-by-step explanation:
For a walk-a-thon a sponsor committed to give you a flat free of $5 plus $2 for every mile m you walk
Answer:
$45
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW;
For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?
$5 was given for participants of the walk-a-thon.
$2 was given for every miles won
Then, for "y" number of miles, the the amount that can be won is ( 2×y)= 2y
The Total amount that can be given
= (5 + 2y)
Where "y" is the miles value
Then, if you walk for 20 miles, The Total amount that can be given
= 5 + 2(20)
= 5+ 40
= $45
If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.
[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)
Answer:
3.5%
Step-by-step explanation:
Given data
A=$6225
P=$5000
T= 7years
R=???
Simple interest
A=P(1+rt)
substitute
6225=5000(1+7r)
6225=5000+35000r
collect like terms
6225-5000=35000r
1225=35000r
r= 1225/35000
r=0.035
Hence the rate is 0.035*100= 3.5%
Find the sum of x2 + 3x and -2x2 + 9x + 5.
Answer: 15
Step-by-step explanation:
Find the length of BC and BE (show work please)
Answer:
BC = 4 cm
BE = 10.39
Step-by-step explanation:
ABCD is an isosceles trapezoid.
Measures of base angles of an isosceles trapezoid are equal.
[tex]\therefore m\angle ABC = m\angle DCB [/tex]
[tex]\because m\angle DCB = 120\degree [/tex]
[tex]\therefore m\angle ABC = 120\degree [/tex]
[tex] m\angle ABE = 120\degree-90\degree [/tex]
[tex] m\angle ABE = 30\degree [/tex]
in triangle ABE,
[tex]\cos 30\degree =\frac{BE}{12}[/tex]
[tex]\frac{\sqrt 3}{2} =\frac{BE}{12}[/tex]
[tex] BE = \frac{\sqrt 3\times 12}{2} [/tex]
[tex] BE =6\sqrt 3\: cm[/tex]
[tex] BE = 10.39 cm[/tex]
[tex]\sin 30\degree =\frac{AE}{12}[/tex]
[tex]\frac{1}{2} =\frac{AE}{12}[/tex]
[tex] AE = \frac{12}{2} [/tex]
[tex] AE =6 \: cm[/tex]
Next, Draw [tex] CF\perp AD [/tex]
FD = AE = 6
EF = 16 - (AE + FD) = 16 - (6+6) = 16-12
EF = 4 cm
BCFE is a rectangle.
Measures of the opposite sides of a rectangle are equal.
Therefore
BC = EF
BC = 4 cm
The probability of tails of a weighted coin is 0.8. The number of tails is noted each of the 20 times the coin is tossed. If this procedure is repeated 75 times, what type of distribution is simulated?
Answer:
A sampling distribution of the sample proportion with n = 20 and p = 0.8
Step-by-step explanation:
We are given that
The probability of tails of a weighted coin, p=0.8
n=20
We have to find the type of distribution is simulated if this procedure repeated 75 times .
Random variable is a proportion of number of tails therefore, type of distribution is sampling distribution of the sample proportion.
We have n=20 and p=0.8
Hence, we can say that type of distribution is simulated is given by
A sampling distribution of the sample proportion with n = 20 and p = 0.8
Answer:
I chose answer D. A binomial distribution with n=20 and p=0.8, No clue if correct or not
Step-by-step explanation:
Maths question, will mark Brainliest! Find the area of a circle with a radius of 4.
Answer:
8[tex]\pi[/tex]
Step-by-step explanation:
area=[tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex][tex]4^{2}[/tex]
16[tex]\pi[/tex]
since it is a semicircle, cut that number in half.
Answer:
25.12units squared
Step-by-step explanation:
A = [tex]\frac{\pi r^2}{2}[/tex] or [tex]\frac{3.14r^2}{2}[/tex]
r = 4
3.14 x 4^2 = 50.24
50.24/2 = 25.12
Jenna and Yvonne practice the high jump. Jenna can jump 2 feet. Yvonne can
jump 3 feet. Decide if each equation be used to find how much higher Yvonne
mps then Jenna. Choose Yes or No for each equation.
Answer:
only 1 and 2 are correct
Step-by-step explanation:
Here, we want to select appropriately
From the question, all we had to do is to make a subtraction; and that is;
3 5/12 -2 2/3
1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes
2. 3 15/36 can be reduced to 3 5/12
and 2 24/36 can also be reduced to 2 2/3; so this is correct also
3. This is wrong
4. This is wrong
What probability expression is equivalent to P( / z / > 1.96)?
Answer:
Please check the explanation.
Step-by-step explanation:
Given
P(Z > 1.96)
To determine
What probability expression is equivalent to P(Z > 1.96)
Suppose Z is a standard normal variable.
Therefore,
P(Z > 1.96) = 1 - P(Z ≤ 1.96)
solving
= 1 - Ф(1.96)
= 1 - 0.9750
= 0.0250
The probability of the expression being equivalent to P(z > 1.96) is calculated as 0.0250.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The given information is P(z > 1.96)
Let z is a standard normal variable. Then we have
P(z > 1.96) = 1 – P(z ≤ 1.96)
P(z > 1.96) = 1 – 0.9750
P(z > 1.96) = 0.0250
More about the z-score link is given below.
https://brainly.com/question/13299273
Alyssa estimates that her school's gym can hold 660 students. It actually has 750 seats. What is the percent error of her estimate?
Answer: 13.64%
Step-by-step explanation:
Alyssa estimates that the gym can hold 660 students even though it can hold 750.
Her percent error is calculated by:
= (Actual seats - Estimated seats) / Estimated seats
= (750 - 660) / 660
= 90 / 660
= 0.1364
= 13.64%
In ΔKLM, k = 480 cm, ∠M=80° and ∠K=39°. Find the length of m
Answer: 751
Step-by-step explanation:
Answer:
751
Step-by-step explanation:
delta math
Enter an algebraic equation for the word sentence. Use x as your variable. A number increased by 6.8 is 8.9.
Answer:
x + 6.8 = 8.9
Step-by-step explanation:
First let's break this sentence down into parts.
A number increased by 6.8 is 8.9.
"A number" - This value is unknown, therefore we will represent it with x.
"increased by" - This signifies that we will be adding.
"is" - This represents the equal sign (=)
Now let's put these together.
x + 6.8 = 8.9
This is your expression.
Hope this helps!
hey! please help on this question i'll give brainliest <333 .
Answer:
go to photo math on your phone it will help you and please give me brainleist
Step-by-step explanation:
I need help please!
Answer:
y=60x; 60 X 12= 720
Step-by-step explanation:
Answer:
60 x 12= 720
Car A will travel 720 miles
Step-by-step explanation:
PLZ mark me brainliest
in the diagram below of triangle C D E,F is a midpoint of C D and G is a midpoint of D E, if F G = 9x -59, C E = 34 - x, what is the measure of C E?
Answer:
Hey, I'm not sure if my assumptions were correct or not because there is no diagram. I assumed the triangle to be equilateral, the two lines are parallel and the height of the triangle is 1.
Step-by-step explanation:
Since the triangle is parallel*, we can just use ratio and proportion.
[tex] \frac{rise}{run} = \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ 1(9x - 59) = 0.5(34 - x) \\ 9x - 59 = 17 - .5x \\ 9x + 0.5x = 59 + 17 \\ 9.5x = 76 \\ x = \frac{76}{9.5} \\ x = 8[/tex]
Now that we had found the value of x, we will now substitute that to both equations to get the respective distances.
CE = 34 - x = 34 - 8 = 26
What is the slope of the line that passes through the points
(6, 7) and (4 , 2)? Write your answer in simplest form.
Answer:
Y = 5/2x - 8
Step-by-step explanation:
m = 5/2
Which regression equation best fits these data?
Answer:
Step-by-step explanation:
No, the answer is y=-0.30x2-0.48x+15.83
6. Andre and Clare are discussing triangle ABC that has a right angle at C and a
hypotenuse of length 15 units. Andre thinks the triangle could have legs that are 9 and
12 units long. Clare thinks angle B could be 20 degrees and then side BC would be 14.1
units long. Do you agree with either of them? Explain or show your reasoning.
Answer:
BOTH ARE CORRECT
Step-by-step explanation:
Given that:
Triangle ABC Is right angled ;Angle ABC
Hypotenus = 15
If legs are 9 and 12 units long ;
From Pythagoras :
9² + 12² = hypotenus²
81 + 144 = 225²
2.) if:
B = 20° ; BC = will be
Using :
Cos θ = BC / 15
Cos 20 = BC / 15
BC = Cos 20 * 15
BC = 0.939692 * 15
BC = 14.09
BC = 14.1
2+y<3 I need the answer please
Answer:
y<1
Step-by-step explanation:
1
What is the slope of this non-vertical line? Use your transparency if needed.
3
There’s no further instructions on this please help
Please help
Answer:
Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!
Write an equation (multiplication) that equals 3/4
Answer:
100 x 0.0075 :)
or 1 x 0.75 or 10 x 0.075
5(-2x + 4) - 9(1 - 3x)
Answer:
17x+11
Step-by-step explanation:
-10x+20-9+27x
-10x+27=17x
20-9=11
17x+11
Answer:
Step-by-step explanation:
Here you go :)
Step 1
5(-2x + 4) - 9(1 - 3x) Question
Step 2
5(-2x + 4) - 9(1 - 3x) Remove parenthesis
-10x+20+-9+27x
Step 3
-10x+20+-9+27x combine terms
17x+11
Answer
17x+11
At the bookstore, 40 copies of a popular paperback book fit perfectly on a 5-foot shelf. How many copies of this book would fit perfectly on an 8-foot shelf? A. 72 books B. 60 books C. 68 books D. 64 books
Answer:
64 books
Step-by-step explanation:
The first step is to find the number of books that will fit in the shelve per foot
= 40/5
= 8
Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows
= 8×8
= 64
Hence 64 books would fit in 8-foot shelf
Help me with this problem I will give brainliest
Answer:
x=3
Step-by-step explanation:
Grades
AllianceRMMS.com
2 points
3) Tati wants to save money to be ready to shop for presents during
Christmas 2021. Tati has $25 in her piggy bank and continues to save $40
per month. What is the rate of change and constant; write Tati's savings
plan in slope-intercept form.*
O y = 65 next month
O y = 25x + 40
y = 40x + 25
O y = 15x + 25
Answer:
AllianceRMMS.com
2 points
3) Tati wants to save money to be ready to shop for presents during
Christmas 2021. Tati has $25 in her piggy bank and continues to save $40
per month. What is the rate of change and constant; write Tati's savings
plan in slope-intercept form.*
O y = 65 next month
O y = 25x + 40
y = 40x + 25
O y = 15x + 25
do thatand u find out
Step-by-step explanation:
mary has 42 peanuts frank has 22 peanuts how many fewer peanuts does frank have
Answer:
42 - 22 = 20
Mary has 20 more peanuts than Frank.
Answer:
20
Step-by-step explanation:
42-22=20
1/8= 12 true or false
Answer:
False
Step-by-step explanation:
1/8 = 0.125
12 = 12
0.125 and 12 do not match; the expression is false.
There are 1,775 pennies in Isaiah’s jar. If 25 pennies are needed to fill a bag, how many whole bags can Isaiah fill?
Answer:71
Step-by-step explanation:1775/25
Answer:
71 bags
Step-by-step explanation:
Each bag: 20 pennies
Pennies count: 1775
Final Answer: 71 bags
Explain:
1775 / 25 = 71
what is 10÷3=? math
kaixbaigna
Answer:
3.333333....
Step-by-step explanation:
A coach of a baseball team orders hats for the players on his team. Each hat costs $9.95. The shipping charge for the entire order is $5.00. The total cost of the coach's order is less than $125.00. What inequality can be used to determine the greatest number of hats, h, the coach orders
Answer: 11
Step-by-step explanation:
Based on the information that have been given in the question, we can use the information to form an inequality which goes thus:
5 + 9.95h < 125
9.95h < 125 - 5
9.95h < 120
h < 120/9.95
h < 12.06
h < 12
Therefore since h is less than 12, the greatest number of hat that can be ordered will be 11.