Answer:
x = 3, 7
Step-by-step explanation:
Step 1: Write equation
x² - 10x + 21 = 0
Step 2: Factor
(x - 7)(x - 3) = 0
Step 3: Find roots
x - 7 = 0
x = 7
x - 3 =0
x = 3
The volume of a pyramid is V = 1/2 Ah. If V = 60 when h = 9, find A.
Answer:
Here,
Volume of pyramid (V) = 1/2 ×A×H
Given, V= 60 , H= 9
Now place the value of V and H in :
V= 1/2 ×A×H
60= 1/2 ×A × 9
60×2= 9A
120/9 = A
Hence, A= 120/9
A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the journey. Find the original speed of the bus.
Answer:
Step-by-step explanation
Let's say d = distance, r = speed and t = time
We know the distance formula is :
distance = speed x time
d = r multiplied by t
d = rt
If the speed is 15km/hr, the time would be 30 minutes shorter.
Since d = rt,
90 = 15t
t = 6,
This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.
Originally though, the journey takes 30 minutes longer.
So we can say t = 6.5 hrs , and we know d = 90
Now we use the distance formula:
d = rt, since we want to find the original speed, we want to find r.
Speed = distance/time
r = d/t
r = 90/6.5
r = 180/13
Therefore the original speed is 180/13 km/hr
The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?
Answer:
11 7/10 miles below sea level
Step-by-step explanation:
Given the following :
Peak of Mount everest = 5 1/2 miles above sea level
Bottom of Mariana trench = 6 9/10 miles below sea level
If mount everest is placed at the bottom of Mariana trench
. It's be will be :
Since sea level could be considered as a 0 point;
Adding the height and depth of both should give us the depth below sea level:
(6 9/10 + 5 1/2) miles
6 + 5 (9/10 + 1/2)
11 (9 + 5)/10
11 14/10
11 7/10
= 11 7/10 miles below sea level
What is the surface area of a sphere with a radius of 11 centimeters?
What is the value of D(12)
Answer:
If the question is looking for an absolute value then the answer is 12.
Absolute value |-a| = a.
-3/5 divided by 11/12. please answer in fraction form
Answer:
-13/20?
Step-by-step explanation:
x = -4 -3x + 2y = 4
A system of equations is given as:
x = 8
3x + 4y = 16
What is the value of y?
Answer:
3x + 4y = 16
x = 8
y = -2
Hope this helps! Please mark Brainliest!
Write an equation to represent the following statement.
j is 14 less than 22
Solve for J
Step-by-step explanation:
22-14=8 so J=8
solve this problem : 3c + 4 = -20
Step-by-step explanation:
hbhhhgggggbbbjjjkkk
Answer:
3c +4 =-20
3c=-20-4
3c=-24
c=-24÷3
c=-8
There were 6 eggs
I broke 2, I fried 2, and I ate 2.
How many eggs are left?!
Answer:
4
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pls rate ..
ANSWER
yes it is
you have 6 eggs right you remove 2 eggs from the 6 eggs which means you have 4 then the 2 you removed you fry them then the 2 eggs you fry you eat those same 2 eggs and then it leaves you with 4 eggs
Sonia is walking 2.6 miles home from school. She leaves at 4:00 P.M., and gets home at 4:45 P.M.
Answer:
I belive, it is A I'm not sure
Step-by-step explanation:
ASAP PLEASE ANSWERRR find the value of x. 3x+34=16
Answer:
-6
Step-by-step explanation:
subtract 3 from both sides and that leaves 3x=-18
then divide 3 by -18 and that equals -6
Answer:
x= -6
Step-by-step explanation:
Step 1: Subtract 34 from both sides.
3x+34−34=16−34
3x=−18
Step 2: Divide both sides by 3.
3x /3 = −18 /3
x=−6
I cut along piece of wood into 50cm pieces I manage to cut w, pieces of wood and there is 20cm left over . How long was the wood to start with
Answer:
50w+20 (cm)
Step-by-step explanation:
There would be w pieces of 50cm wood pieces and one 20cm wood piece.
wood length = 50w +20
Step-by-step explanation:
Given
Length of Pieces = 50cm
Number of Pieces = w
Left over = 20cm
Required
Determine the length of the wood
Start by multiplying the number of pieces by the length of each pieces
Result = length * number
Result = 50 * w
Result = 50w
Lastly, add the leftover to get the actual length of the wood
Woodlengrh = result + leftover
Substitute 50w for Result and 20 for Leftover
woodlength = 50w + 20
Hence, the length of the wood is 50w + 20
Ryker wants to buy a bike that cost $150. He currently has saved $50. How much money does he need to buy his bike?
Answer: 100 dollars
Step-by-step explanation: If he has 50 dollars and the bike costs 150 he need 100 more dollars to get 150 dollars
What is the area of triangle abc? Pls explain thoroughly.
Answer:
0.25 ( I guess)
Step-by-step explanation:
use 1/2 (b*h) formula
The cost to buy tickets online for a dance show is $60 per ticket. a. Write a function that represents the cost C(x) (in $) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T(a) for a dollars spent on tickets. c. Find (T ∘ C)(x). d. Find (T ∘ C)(6) and interpret its meaning in the context of this problem.
Step-by-step explanation:
Given
cost of ticket=$60
a. the cost of x tickets is
C(x)=60x
b. sale tax of 5.5% of $60 is 5.5/100*60
0.55*60=$3.3
processing fee = $8
the total cost T(a) for a dollars spent on tickets.
T(a)=60a+3.3+8
T(a)=60a+11.3
c. Find (T ∘ C)(x).
T(x)=60x+11.3
d. Find (T ∘ C)(6)
T(6)=60*6+11.3
T(6)=360+11.3
T(6)=$371.3
This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3
Solve for j.
20 − 17j = –18j
j =
Answer:
[tex]\boxed {j = -20}[/tex]
Step-by-step explanation:
-Solve for the value of [tex]j[/tex]:
[tex]20 - 17j = -18j[/tex]
-Take [tex]18j[/tex]and add it to [tex]17j[/tex]:
[tex]20 - 17j + 18j = -18j + 18j[/tex]
[tex]20 + j = 0[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]20 - 20 + j = 0 -20[/tex]
[tex]\boxed {j = -20}[/tex]
So, the value of [tex]j[/tex] is [tex]-20[/tex].
Match the graph with the correct equation
A: Y= -2X + 5
B: Y= -X + 3
From: SLOPE-INTERCEPT FORM: PART 1
Answer:
The equation for this picture(graph) is:
y = -x+3
Slope: Rise/run
= 3/3
= 1
= -1 (negative because the slope is decreasing).
Y-intercept is where the line touches the y-axis
What are all the like terms of 5x
Answer:
a number times 5
Step-by-step explanation:
writing equations of lines
Answer:
- 10/8= -5/2
Step-by-step explanation:
You go down 10 and right eight to get to each point: rise/run, or in this case fall/run. Simplified it would be -5/2.
Hope this helps ❤
Pls help (I did most of the page...)
Answer:
the tripled recipe of peaches is 2 or 6/3
the tripled amount of rhubarb would be 21/2 or [tex]10\frac{1}{2}[/tex]
Step-by-step explanation:
for the first part, just multiply the top number (2) by 3. (that would be 6)
then, divide that by the bottom number (3).
6/3 = 2.
for the second part, you need to convert the mixed number to an improper fraction.
[tex]3\frac{1}{2}[/tex] as an improper fraction is [tex]\frac{7}{2}[/tex]
now, multiply the top number (7) by 3. (that would be 21)
then. divide that by the bottom number. (2)
21/2 = [tex]10\frac{1}{2}[/tex]
Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it drop each hour
The answer to your question is, The pool dropped 1.38/16 inches per hour.
John earned $36 for 8 hours of work. Earnings are directly proportional with hours worked.how much did he earn when he worked 30 hours.
Answer:
$135
Step-by-step explanation:
First, find the unit rate of money earned (36/8=4.5)
Then, multiply the unit rate of money earned by 30 (4.5 x 30 = $135)
I apologize if my wording is incorrect.
The total earnings for the 30 hours is $1350 if John earned $36 for 8 hours of work. Earnings are directly proportional to hours worked.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
John earned $36 for 8 hours of work. Earnings are directly proportional to hours worked.
Earnings ∝ hours
E ∝ T
E = kT
Here k is the constant
36 = 8k
k = 36/8
E = (36/8)T
Plug T = 30
E = (36/8)(30)
E = $1350
Thus, the total earnings for the 30 hours is $1350 if John earned $36 for 8 hours of work. Earnings are directly proportional to hours worked.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ2
Which of the following represents a fraction that converts to a repeating decimal with a value less than one?
1/2
4/3
9/10
4/9
Answer:
1/2
Step-by-step explanation:
took test
Answer:
4/9
Step-by-step explanation:
um no, that's wrong, the correct answer is 4/9 because it is a repeating decimal and is less than one
If you wanted to plot the point (-4, 5), where would you move from the origin?
Answer
From the origin, you would move left four and up 5
someone help me please
Answer:
25
Step-by-step explanation:
The diameter of a soda can is 2.6 inches. What is the total length of the diameters of 5
soda cans?
A.130 inches
B.76 inches
C.7.6 inches
D.13 inches
Answerd
Step-by-step explanation:
13pulgadas
2.6* 5=13
I need help with this question
Answer:
a)-1,6
b)0,4
c)3,0
d)-4,4
e)2,1
What is the slope of the line
represented by the equation
2y = 5x + 4?
Answer: The slope is 5/2.
Step-by-step explanation:
Convert the equation into slope intercept form, ( y=mx+b)
2y = 5x + 4 Divide each side by 2
y = 5/2x + 2 In this form the slope will be the coefficient of x variable.
The coefficient is the number that comes before x.
In this case, the slope is 5/2.