Answer:
Step-by-step explanation:
It should be noted:
Area of square garden = L² = 256
Square root both sides of the equation to find the length of the square garden. Then, use the length of the square garden to calculate the length of fence required for 3 sides of the garden.
Square root both sides.
√L² = √256
=> L = 16
Multiply the length by 3.
3L = 16 x 3 = 48 feet
Thus, Mr. Campbell will need 48 feet of fencing.
The expression c(16x + 14) is equivalent to 32x +d. What are the values of c and d?
We are told that c(16x + 14) = 32x + d
Now, if 16x + 4 is multiplied by 2 we will have:
2(16x+14)=32x+28
then 32x + 28 = 32x + d
∴ d = 32x+28-32xd= 0+28d= 28Since C(16x+14) = 32x+d
and 2 (16x+14) = 32x + d
then c = 2, d = 28
A company provides bus trips to various events for adults and children. The company charges $15 for each adult and $8 for each child for a trip to an upcoming play. The bus has a maximum capacity of 40 people, and the company needs to earn a minimum of $400 from this event to make a profit. Write a system of inequalities that represents this situation and graph it.
x+y=40
15x+8y=400
Step-by-step explanation:
x= Adults
y= Children
$15 dollars per "X" adults + $8 dollars per "Y" children = 400 dollars, and "X" adults + "Y" children = 40 people on the bus.
Kangchenjunga, third highest mountain in the world, is 28,169 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations?
Answer: 29,481 feet
Step-by-step explanation:
Kangchenjunga= 28,169 feet above sea level
Dead Sea= 1,312 feet below sea level
Difference= ?
28,169+1,312= 29,481
(2-3a)(8+5a) please help me
Answer:
-15a² -14a+16
Step-by-step explanation:
(2-3a)(8+5a)2×8=16
2×5a=10a
-3a×8=-24a
-3a×5a=-15a²
16+10a-24a-15a² = -15a² -14a+16
Solve the following absolute value equation.
Answer:
x= 8
x= -8
Step-by-step explanation:
|x+1| /3 = 3
|x+1| = 9
|x| + |1| = 9
|x| = 8
x= 8
x= -8
There are 49 people planning to go on a ride in a
small airplane. Each plane can hold 6 people,
and they want to fill up as many as possible.
How many planes will be needed? [?] planes
How many planes will be full? [ ] planes
How many planes will not be full? [ ] planes
How many people will be in a plane
that is not full? [ ] people
H
Enter
Answer:
Number of planes needed = total number of people ÷ number of people 1 plane can hold
⇒ number of planes needed = 49 ÷ 6 = 8 1/6 = 8 remainder 1
Therefore, 9 planes will be needed to transport 49 people.
8 planes will be full and 1 plane will not be full.
There will be 1 person in the plane that is not full.
Estimating sums by tens
Answer:
4600
Step-by-step explanation:
4319=4300
299=300
4300+300=4600
how do u work this out
Step-by-step explanation:
use this equation
y = mx + c
m is the gradient
c is the y intercept
m is
m is rise/run
the line rises from 3 to 10
so rise is 7
the line runs from 0 to 3.5
so run is 3.5
m = 7/3.5
m = 2
c is
y-intercept is where the line is equal to x=0
that point is
(0, 3)
so y int is 3
c = 3
put back into equation
y = mx + c
and comment your answer
please mark brainest
Which of the following situations are equal to 50%? Select all that apply.
A) 3 out of 6
B) 9 out of 18
C) 9 out of 12
D) 16 out of 32
E) 42 out of 84
Answer:
A, B, D, E
Step-by-step explanation:
To find if something is equal to fifty percent, split the second number in half.
For example, lets use option D.
32/2=16
16 is the first number in the option, meaning it is 50%.
Lets use an example where it wouldn't work. In this case, option C.
12/2=6
6≠9
Meaning 9 is not 50% of 12.
Help needed ASAP
Please answer without rounding if you need to round
Answer:
you dont need to round
Step-by-step explanation:
multiply v and U and then add the other numbers and that should work
Answer:
[tex]\huge\boxed{\sf r = 37\ mm}[/tex]
Step-by-step explanation:
Let the radius be r
UV is tangent to the circle T which means UV is perpendicular to UT, that makes ΔUVT a right-angled triangle.
Which means:
∠TUV = 90°
So, We can use pythagoras theorem to find the radius of the circle.
In the Δ:
Hypotenuse = r + 9
Base = r
Perpendicular = 12
Pythagoras Theorem:
(Hypotenuse)² = (Base)² + (Perpendicular)²
(6 + r)² = (r)² + (22)²
(6)² + 2(6)(r) + (r)² = r² + 484
36 + 12r + r² = r² + 484
Subtract r² to both sides
36 + 12r = 484
Subtract 36 to both sides
12r = 484 - 36
12r = 448
Divide both sides by 12
r = 448/12
r = 37 mm
[tex]\rule[225]{225}{2}[/tex]
help me guys :) I need good answer:)
Step-by-step explanation:
hopefully I think hope you will understand
i need help with this please:)
Hi!
- - - - - - - - - - - - - - - - - - - -
To start, let's add/subtract the fractions (by finding common denominators). Below them are your answers!
1) 1/2 (5/10) + 1/5 (2/10) = 7/10
1) Yes
2) 1/5 (2/10) - 1/10 (Same) = 1/10
2) No
3) 1/2 (5/10) + 2/5 (4/10) = 9/10
3) No
4) 4/5 (8/10) + 1/10 (Same) = 9/10
4) No
- - - - - - - - - - - - - - - - - - - -
Have a great day/night! :)
~pinetree
What is the volume of the shape?
[tex] \tiny\red{{\pmb{==========================================}}}[/tex]
Answer:
84km
Step-by-step explanation:
[tex] \sf \: \: \: \: \: \: = 7 \times 4 \times 3 \\ \sf = \underline \green8 \underline \green 4 \: km[/tex]
[tex] \tiny\purple{{\pmb{==========================================}}}[/tex]
#CARRYONLEARNING
===========
V = 7 × 4 × 3
V = 84 km
===========
-CallMeKi
Calculate the volume. Round your answers to the nearest tenth if necessa
Answer
V= (3√2)(32^2)(12)
v=52,133.6
Answer the questions based on the results of the t-shirt sales analysis shown by the regression calculator. if the t-shirts are priced at $13 each, what is a reasonable prediction for the number sold? 10 t-shirts 15 t-shirts 18 t-shirts 20 t-shirts
The Linear Regression Equation has the form Y= a + bX. The reasonable prediction for the number of t-shirts sold is 18.
What is the Linear Regression Equation?The Linear Regression Equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y-axis), X is the independent variable (i.e. it is plotted on the X-axis), b is the slope of the line and a is the y-intercept.
In order to calculate the reasonable prediction for the number of t-shirts sold, we need to find the function of the given graph below.
As we can see that the function of the graph is linear(line), therefore, we take two points, to find the value of the slope and the value of the constant.
[tex](x_1,y_1)=(10,25)\\(x_2,y_2)=(15,12)[/tex]
The value of the slope can be written as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{12-25}{15-10}=\dfrac{-13}{5}[/tex]
Now, substitute the value of any one point in the equation of the line,
[tex]y=mx+c\\\\y_1=\dfrac{-13}{5}x_1+c\\\\25=(\dfrac{-13}{5}\times 10)+c\\\\25=-26+c\\\\51=c[/tex]
As the price of the t-shirt is $13, therefore, the value of y(or the reasonable prediction for the number of t-shirts sold) can be found,
[tex]y=\dfrac{-13}{5}x+51\\\\y =(-2.6 \times 13)+51\\\\y = 17.2[/tex]
The value of the reasonable prediction for the number of t-shirts sold is 17.2 which is close to 18.
Hence, the reasonable prediction for the number of t-shirts sold is 18.
Learn more about Linear Regression Equation:
https://brainly.com/question/25311696
Answer:
answer in picture
Step-by-step explanation:
the prime factorization of 171 using exponents.
Answer:
the prime factorization of 171 can be written as 32 × 191 where 3, 19 are prime.
mark me as brainliest
10 small and 8 large cost $192. 20 small and 1 large cost $99. What is cost of a small
Vhat is cost of a large?
Answer:
Step-by-step explanation:
small=s, s=3.99
large=l, l=19.20
10s+8l=192.20
20s+l=99
we can see that in the second equation, 20s+l=99
l=99-20s
lets replace l in the first equation
10s+8(99-20s)=192.20
10s+792-160s=192.20
-150s=-792+192.20
150s=599.80
s=3.99
l=99-20(3.99)=99-79.80=19.20
Answer:
19
Step-by-step explanation:
You can set up a system of equations.
x=small, and y = large.
10x+8y=$192
20x+1y=$99
you can multiply the first equation by -2 to get rid of x:
20x+1y=$99
-20x-16y=-$384
when you combine them, you get:
-15y=$-285
you can divide by -15 and you get:
y=19, so 1 large equals $19
if there are 1725 students and 54% do not have TV's and 46% do have TV's how many students don't have TV's
Answer:
Step-by-step explanation:
The answer is 931.5 students do NOT have TV's. Just in case, 793.5 students DO have TV's.
The population of a city increases by 5% every year. If it’s population today is 300,000 what will it’s population be in 2 years?
Answer:
Population after n years = Present Population =(1+
100
r
)
n
Population after 2 years =50000(1+
100
5
)
2
=50000(
100
105
)
2
=50000×
100
105
×
100
105
=5×105×105=55125
Step-by-step explanation:
19. You borrow
$3000 (prinupal)
for 4 years and
pay a 9% interest
9
rate. How much
interest do you
pay ?
Answer
Interest =1080
Step-by-step explanation:
The formula to solve interest is Principal times Rate times Time
bonsoir, je suis bloqué sur lex 5 s'il vous plaît aidez moi merciii
Answer:
j'ai écrit ci-dessous
Step-by-step explanation:
Salut, j'utilise un traducteur, mais revenons à votre question
Je ne suis donc pas sûr de la question a, mais j'essaierai d'y répondre plus tard.
Pour la question b, il a utilisé la formule "a-b" je pense. C'est déjà indiqué dans le tableau. D'accord, je vais essayer de trouver la question a maintenant !
Edit
salut je suis de retour! donc d'après mes découvertes, le pgcd (si pgcd est le plus grand diviseur commen) serait 207. C'est parce que vous pouvez diviser les deux par 207, et une fois que vous le faites, vous ne pouvez plus le diviser par des nombres égaux.
2277/207 = 11
1449/207 = 7
J'espère que cela t'aides!
Florence has 7 liters of milk. She pours 34of a liter into her glass. How much milk is left?
Answer:
6.66 liters
Step-by-step explanation:
34% of one liter would leave 66% of the liter left, and if you were to add the other 6 liters to it, you would get your answer.
Workers Inc. just bought 10 boxes of pens to put in their storage room for employees to use as needed. Each box contains 30 pens. If each of the 32 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens will be left in the storage room?
A. 268
B. 204
C. 297
D. 230
Answer:
B. 204 pens
Step-by-step explanation:
If you have 10 boxes of 30 pens each, the problem would be like so:
10 x 30 = 300
Now, since we have 32 workers that each take 3, this turns into:
32 x 3 = 96
Finally, because 300 is the total amount of pens and 96 is the amount taken, we just subtract to get:
300 - 96 = 204 pens
Find the distance from N to T. (N=-2,1 T=3,1)
√29
√14
29
7
7 is the answer
hello bro
Solve this for me please.
Answer:
Solve what? there's nothing there.
PLEASE HELP!!! I RLLY NEED THIS!!
Answer:
28 cm per year
5.5 years
Step-by-step explanation:
In three years time, the height of the tree grew from 190 to 274, that's an increase of 84 cm. Divice that by the number of years it took. So you get this calculation:
(274-190)/3 = 28
When the tree was 344 centimeters tall, the increase was 344-190 = 154. Divide that by the 28 found earlier to get 154/28 = 5.5 years.
30x30 becuse i need a better answer
Answer:
Step-by-step explanation:
30x30 is 900
x÷-1.2= -0.3 i need help with this asap pls and thank you
0.3×1.2
=0.36
−0.3,1.2→Negative
−0.36
Hey there!
x ÷ -1.2 = -0.3
REWORD
x/-1.2 = -0.3
TRANSLATE
1/-1.2x = -0.3
-0.833333x = -0.3
DIVIDE -0.833333 to BOTH SIDES
-0.833333x/-0.833333 = -0.3/-0.833333
SIMPLIFY IT!
x = 0.360000144
x ≈ 0.36
Therefore, your answer is: x = 0.36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which inequality best represents the domain of the part shown?
Answer:
y>1
Step-by-step explanation:
mark me brainliest!!
You have $30 to spend on paint and clay. The equation 2x + 6y = 30 represents this situation, where x is the number of paint bottles and y is the number of tubs of clay. Graph the equation. Interpret the intercepts. How many bottles of paint can you buy if you buy 3 tubs of clay? Justify your answer.
Answer:
You can buy 6 bottles of paint if you buy 3 tubs of clay
Step-by-step explanation:
2x+6(3)=30 is 2x+18=30
30-18=12
12/2=6
The system of equation is solved and the x-intercept is (15, 0) and y-intercept is (0, 5)
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To graph the equation 2x + 6y = 30, we need to rewrite it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept
2x + 6y = 30
6y = -2x + 30
y = (-2/6)x + 5
y = (-1/3)x + 5
To interpret the intercepts, we look at the x-intercept and y-intercept of the graph
X-intercept: To find the x-intercept, we set y = 0 and solve for x
y = (-1/3)x + 5
0 = (-1/3)x + 5
(-1/3)x = -5
x = (-5) / (-1/3)
x = 15
The x-intercept is (15, 0), which means that when y = 0, we can buy 15 bottles of paint and no tubs of clay with the available $30
Y-intercept: To find the y-intercept, we set x = 0 and solve for y.
y = (-1/3)x + 5
y = (-1/3)(0) + 5
y = 5
The y-intercept is (0, 5), which means that when x = 0, we can buy no bottles of paint and 5 tubs of clay with the available $30
Hence , if 3 tubs of clay are purchased, we can buy 6 bottles of paint
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2