Answer:
1 real solution: x=3
Step-by-step explanation:
By factoring:
x^2-6x+9=0
(x-3)^2=0
x-3=0
x=3
So yes there's 1 real solution which is x=3.
You can also check the discriminant:
b^2-4ac
(-6)^2-4(1)(9)
36-36
0
Since the discriminant is 0, there can only be 1 real solution.
Linear y=mx+b Line
a. y=x b. y= -2/3x -4
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
hope i helped:)
b. y= -2/3x -4
Tiffany was at bat
18
18 times during a softball tournament. She had
6
6 base hits for the tournament. What is the ratio that describes the number of base hits to the number of times at bat?
Answer:
6:18 hope this helps good luckkk
zoom
860/483/9988
this is just not part of it⇒ 5+2=7
Answer:
Ok and the answer is true :)
Step-by-step explanation:
pls help I only need help with family 1
2. A right square pyramid is inverted so it is pointing down. The pyramid’s base has an area of 100 square centimeters and the area of one face is 60 square centimeters.
a. What is the volume of the pyramid?
b. The pyramid was filled with a solution. Some of the solution was drained out the vertex of the pyramid into a cylindrical dish with a radius of four centimeters. The level of liquid in the pyramid dropped three centimeters. How deep is the solution in the dish?
Answer:
2. a. The volume of the pyramid is approximately 363.62 cm³
b. The depth of the solution in the dish is approximately 0.15046 cm
Step-by-step explanation:
2. a. A right square pyramid is a pyramid with the vertex at the top directly above the center of the base
The area of the base of the right square pyramid = 100 cm²
The area of one of the face = 60 cm²
∴ The length of the side of the base, s = √(100 cm²) = 10 cm
The area of the face = 1/2 × s × l
Where;
l = The slant height
∴ 1/2 × 10 cm × l = 60 cm²
l = 60 cm²/(5 cm) = 12 cm
l = 12 cm
The height of the pyramid, h = √(l² - (s/2)²)
∴ h = √(12² - 5²) = √(119)
The volume of the pyramid = 1/3 × Base Area × Height
∴ The volume of the pyramid, V = 1/3 × 100 cm² × √(119) cm ≈ 363.62 cm³
The volume of the pyramid, V ≈ 363.62 cm³
b. The initial level of the solution in the pyramid = The pyramid was filled with the solution
∴ The initial level of the solution in the pyramid = The height of the pyramid
The radius of the cylindrical dish into which the solution is poured, r = 4 cm
The level by which the liquid drops in the pyramid after pouring = 3 cm
Therefore, by proportion of volume, we have;
Let V₁ and 'V' represent the volume that was drained out the vertex into the cylindrical dish and the volume of the whole pyramid respectively
Therefore;
V₁/V = (3/(√119))³
V₁ = V × (3/(√119))³
V = 1/3 × 100 cm² × √(119) cm
∴ V₁ = 1/3 × 100 cm² × √(119) cm × (3/(√119))³ = 100 cm² × 1 cm × 3²/(119) = 900/119 cm³
The volume that was drained out the vertex, V₁ = 900/119 cm³
The volume of the cylindrical dish, [tex]V_d[/tex] = π·r²·h
Where h = The depth of the solution in the dish
∴ When [tex]V_d[/tex] = V₁, and r = 4 cm, we have;
π × 4² × h = 900/119
h = (900/119)/(π × 4²) ≈ 0.15046
The depth of the solution in the dish, h ≈ 0.15046 cm.
A runner ran 20 miles in 150 minutes.
If she runs at the same speed,
a. How long would it take her to run 6 miles? ___minuets
b. How far could she run in 15 minutes?
___miles
C. How fast is she running in miles per hour?
miles per hour___
d. What is her pace in minutes per mile?
minutes per mile___
Answer:
a) 45 minutes
b) 2 miles
c) 8 miles per hour
d) 7.5 minutes per mile
Step-by-step explanation:
a) (150/20) x 6 = 45 minutes
b) (20/150)(15) = 2 miles
c) (20/150)(60) = 8 miles per hour
d) 150/20 = 7.5 minutes per mile
Answer:
Use ratios and cross multiplication to solve this
20 miles ⇔ 150 minutesa.
20 miles ⇔ 150 minutes6 miles ⇔ x minutes20x = 150*6x = 900/20x = 45 minutesb.
6 miles ⇔ 45 minutesx miles ⇔ 15 minutesx = 6*15/45x = 2 milesc.
2 miles ⇔ 15 minutes x miles ⇔ 1 hour = 60 minx = 2*4 = 8 miles per hourd.
2 miles ⇔ 15 minutes 1 mile ⇔ x minutesx = 15/2 = 7.5 minutes per mileP=-3(n-500)2 + 950 000
Answer:
n = - p - 950,000/6 + 500
Step-by-step explanation:
If at most 5 students can sit at a table, what is the minimum number of tables needed to seat 33 students
Answer:
7 kids minimum.
Step-by-step explanation:
33 devided by 5 is 6 remainder 3. You can't have 3 kids not sitting. so you add another table.
Select all the expressions that are equivalent to
310
3
–
5
.
Answer:
I don´t know how to help
Step-by-step explanation:
There are no choices
a quadrilateral with opposite sides both parallel and congruent.
The function f(x) = 300(1 − 0.05)x models a population of sharks after x years. What will the population be in 7 years?
Answer:
When you round the answer it's 210 because for population you round it
Step-by-step explanation:
Answer:
200 , got it correct on test !
Step-by-step explanation:
Please answer ( 8th grade math )
Which number would make this number sentence true?
(5 + 1) * ? = 6 x 9
5.
I DON'T
The rate is given as a percent (%). Before using it in the
SUFFER FROM simple interest formula, you must first convert it to a
INSANITY.
I ENJOY
EVERY
MINUTE OF IT
I a) fraction
b) decimal
c) ratio
. d) dollar amount
In a school the number of students with blonde hair to the numberof student with brown hair is 4:5 what fraction of students have blonde hair
Answer:
4 / 9th of students have blonde hair
Step-by-step explanation:
Fraction of blonde hair students to brown hair students = 4 : 5
Fraction of students having blonde hair = Blonde hair ratio share / Total ratio
= 4 / 9th of students have blonde hair
HELP FAST
find the value of x.
Answer:
81=6x+3(vertically opposite angle are equal)
81-3=6x
78=6x
x=13°
hope it helps.
Question
Calculate without using a
+3
[tex]( \frac{2}{3} + 3 \frac{3}{4} [/tex]
which decimal is equal to this fraction
Answer:
0.6666666666666666666666
Step-by-step explanation:
Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular prism has a length of 10 feet, height of 9 feet and a width of 9 feet. Select the phrase and number from the drop-down menus to correctly complete each sentence. Tammy can find the volume of the storage unit by Choose... . To completely fill the storage shed, Tammy would need Choose... Unit boxes that each measure 1 cubic foot.
Answer:
Finding the product of 9, 10 and 9 ; 810
Step-by-step explanation:
Given that :
Length = 10 feets
Width = 9 feets
Height = 9 feets
The volume of a rectangular prism is obtained by :
Length * width * height
The volume could be obtained by taking the product of 10, 9 and 9
Hence, the volume of the rectangular prism is :
(10 * 9 * 9) feet³ = 810 feet³
Number of 1 feet³ boxes = 810 feet³ / 1 feet³ = 810
i need help pleaseeee
Answer:
line e
Step-by-step explanation:
the y-axis is vertical and tht is the only vertical line on there
Answer:
Line e
Step-by-step explanation:
Line e passes through point h and is parallel to the y axis.
When two lines are parallel, that means that both lines move in the same direction and never meet.
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?
F 9ft
G 17 ft
H 12.4 ft
J 13.6 ft
Answer:
12.4
Step-by-step explanation:
Answer:
12.4
Step-by-step explanation:
Find RT please and thank you.
RQ × RP = RS × RT
9 × ( 9 + 13 ) = 11 × RT
9 × 22 = 11 × RT
Divide sides by 11
9 × 22 / 11 = 11 × RT / 11
Simplification
9 × 2 = RT
RT = 18
Answer: RT=18
Step-by-step explanation: I’m going to be using this formula: RQ•RP=RS•RT
9•22=198
ST=7
11•18=198
Therefore RT=18
hey, i would really appreciate it if someone helps me with this. It's just one multiple choice question.
Answer:
2
Step-by-step explanation:
In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students
Witch one
Answer:
30
Step-by-step explanation:
So we know that there are 292 people and 9.9% attended one play so you just find 10% of 300(approximated) which is the same thing as 30.
Answer:
Step-by-step explanation:
Willie runs 9 yards every five seconds. How many feet does Willie run in 15 seconds?
Answer:
81
Step-by-step explanation:
9 Yards = 27 Feet
9 Yards are ran every 5 seconds
9 x 3 = 27
27 Yards will be ran in 15 Seconds
Convert 27 Yards into Feet.
27 Yards = 81 Feet
Answer:
27
Step-by-step explanation:
I did the butterfly method
9/5 × x/15
I got 135 then divide by 5 which gives you 27
A3 Math gr6 20-21 Form O Online 21 of 34Item s Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expression. Write a second algebraic expression that is different from, but equivalent to, your first expression.
Answer: See explanation
Step-by-step explanation:
We are informed that we should write a equation that represents the expression "Ali writes the expression "half of the sum of $9 and a number.".
Let the number be represented by x. The first equation based on the information given will be:
= 1/2(9 + x)
The second equation will be:
= (9 + x)/2
= 4.5 + 0.5x
Please help
Question 2
If 2x2 + 6x = 36, what are the possible values of x?
A. -12 and 3
B. -6 and 3
C. -3 and 6
D. -3 and 12
Answer:
B. -6 and 3
Step-by-step explanation:
2x^2+6x-36=0
(x+6)(x-3)=0
Solve x+6=0 x-3=0
A 30oz bottle of sriracha is on sale
for $2.99. What is the price per
ounce?
Answer:
Each oz is worth 10 cents
Step-by-step explanation:
2.99/30 = .099 ~ .10
A college professor teaching a class of Psychology gives the following grades during Fall semester: 15% A’s, 20% B’s, 40% C’s, and 10% D’s. The remainder of the students receive an F.
What is the probability that a randomly selected student does not earn an A in this class?
Answer:
85%
Step-by-step explanation:
Because we can see that only 15% of the class obtained A's, and the question only refers to those that did not receive A's, we can subtract the 15% of the 100% whole to get 85%. This can also be written as 85/100 or 17/20(simplified).
Which is the answer. A B C D?
I believe the answer is D