Answer:
11.9
Step-by-step explanation:
Determine how many feet each member of Lola's family walked.
Lola's pet turtle walked 10 feet, and then half that length again.
Lola's baby brother walked 3 feet, and then half that length again.
Lola's hamster walked 6.5 feet, and then half that length again.
Lola's mom walked x feet, and then half that length again.
Step-by-step explanation:
Lola's pet turtle walked 10 feet, and then half that length again. This means that Lola's pet turtle walked:
= 10 + (1/2 × 10) = 10 + 5 = 15 feet
Lola's baby brother walked 3 feet, and then half that length again. Total length walked will be:
= 3 + (1/2 × 3) = 3 + 1.5 = 4.5 feet
Lola's hamster walked 6.5 feet, and then half that length again. Total length walked will be:
= 6.5 + (1/2 × 6.5) = 6.5 + 3.25 = 9.75
Lola's mom walked x feet, and then half that length again. Total length walked will be:
= x + (1/2 × x) = x + 0.5x = 1.5x
Total feet walked by the whole member of the family will be:
= 15 + 4.5 + 9.75 + 1.5x
= 29.25 + 1.5x
Answer:
turtle: 10 + 5 = 15
brother: 3 + 1 1/2 = 4 1/2
hamster: 6 1/2 + 3 1/4 = 9 3/4
Mom: x + 1/2x = 1 [tex]\frac{1}{2}[/tex]x
Step-by-step explanation:
can somebody help me with this please
Answer:
q=-14
Step-by-step explanation:
Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
The shadow cast by a lampshade has a boundary in the shape of a hyperbola defined by the equation StartFraction (y minus 3) squared Over 2 EndFraction minus StartFraction x squared Over 1 EndFraction = 1. What could the center of the hyperbola represent?
the location of the light bulb
the bottom of the lampshade
the top of the lampshade
a vertex of the shadow
Answer:
A THE LOCATION OF THE LIGHT BULB
I got this right on the assignment
Step-by-step explanation:
The centre of the hyperbola represent will represent the location of the light bulb.
What is the centre of a hyperbola?The centre of a hyperbola is the midpoint of the line segment joining its foci. The transverse axis is the line segment that contains the centre of the hyperbola and whose endpoints are the two vertices of the hyperbola.
As we know that the centre of a hyperbola is the midpoint of the line segment joining its foci. Now, if we plot the hyperbola with equation
[tex]\dfrac{(y-3)^2}{2}-\dfrac{x^2}{1}=1[/tex]
The hyperbola will look like the one given in the below image, further if draw two lines to know the centre of the hyperbola, we will find that the centre of the hyperbola will lie at coordinate (0,3).
Further, the centre of the hyperbola represents the light bulb while the hyperbolas will represent the shadow cast by the lampshade.
Hence, the centre of the hyperbola represent will represent the location of the light bulb.
Learn more about Hyperbola:
https://brainly.com/question/12919612
can someone help with this question please
Answer:
25sqrt(3)
Step-by-step explanation:
The answer to b would be 12 because 4sqrt(3) * sqrt(3) = 12
The area is bh/2, so take 12 * 4sqrt(3) and divide by two
Please help I have 11 more to solve.
Which side is Pythagorean Theorem?
Answer:
B
Step-by-step explanation:
A^2+B^2=C^2
if n is a negative number and p is a positive number, which of the following have the lowest value?
Answer:
A
Step-by-step explanation:
Im not sure if this is right, but I think that is the answer
If we solve each of the expression then (n-p) will have the lowest value.
What is meant by expression?
Expression is like an equation and it is not only in the equal to type but only without equal to type. (n-p), np are the expressions.
How to solve the expression?
We have the following expression and we have to first solve if n is a negative number and p is a positive number.
Let n=-1 and p=2
So, n-p=-1-2=-3
[tex]n^{2} p[/tex]=2
[tex](np)^{2}[/tex]=4
p-2n=0
[tex](n-p)^{2}[/tex]=9
Hence the lowest value is of n-p which is -3.
Learn more about expressions at https://brainly.com/question/723406
#SPJ2
plz tell the answer its very urgent no fake answers allowed
Answer:
7 1/40
Step-by-step explanation:
7.025
= 7025/1000
=281/40
7 1/40
Answer:
d) 7 1/40
e)17/33
Step-by-step explanation:
d) 281/40
7 1/40
e) 714/1386 = 17/33
hello, can i please have help on this question.thank you
Answer:
y = 4x - 3
Step-by-step explanation:
The equation for a line is y = mx +c
We need to find m which is the gradient:
To do this pick any two coordinates on the line:
(1, 1) and (2, 5)
Next divide the difference of the y coordinates by the difference of the x coordinates:
5 - 1 / 2 - 1
= 4/1 = 4
so our gradient is 4
We'd write that as y = 4x + c
Next we need to find c which is the y-intercept
To do this just simply look for where the line crosses the y-axis
This is -3
So we'd write that as y = 4x - 3
Hope this helps :)
Answer:
y=4x-3
Step-by-step explanation:
it wewnt up 4
the baby value/y interseption was -3
Last one -Angles not necessarily drawn to scale
Answer:
Step-by-step explanation:
Adjacent angles must sum to 180 degrees.
x+32=180
x=148 degrees
Answer:
x= 148
Step-by-step explanation:
line CD is a straight angle which means it is 180 degree
to find x you must subtract the known angle from the straight angle
your equation should look like this
180-32=148
9 1/4 - 4 5/6 subtraction
Answer:
4 5/12
Step-by-step explanation:
Rewriting our equation with parts separated
Solving the whole number parts
Solving the fraction parts
Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.
LCD = 12
Combining the whole and fraction parts
Answer:
Improper fractions-53/12
Mixed fractions-4 5/12
Step-by-step explanation:
The sum of two numbers is x If one of the numbers is 12, what is the other?
12 x
12- *
12 + x
x-12
determine whether each statement is true or false. QR > ST
m m
m
Answer:
FALSE
Step-by-step explanation:
QR is NOT greater than ST
The image shows that QR = 9 and ST = 10.
Ten's obvi the bigger number so insted of QR > ST it should be QR < ST.
hope this helps :)
Six times a number, b, minus 5,write this as an expression
Please help me and thank you so much
And this is 10 points
Answer:
6b-5
Step-by-step explanation:
Lena knit a total of 20 centimeters of scarfs over night. How many nights will Lena have to spend knitting in order to knit a total of 50 cm of scarfs. Assume the relationship is directly proportional.
Answer:
50cm of scarfs is equal to 2.5 nights of knitting.
Step-by-step explanation:
20cm= 1 night
10cm= 1/2 or 0.5 a night
40cm= 2 nights
50cm=2.5 nights
You can say that a=a by using the ___ property
Answer:
commutative property
Step-by-step explanation:
happy to help ya :)
78 is 65% of what number?
Answer:
120
Step-by-step explanation:
Answer: 120
Step-by-step explanation: hope this helps
HELPP please.. please pleaae
Answer:
A=80
B=31
C=64
Step-by-step explanation:
A, 69, and b will equal 180 since it forms a straight line
A+69+b=180
to solve for A we subtract 53+47 from 180 and get 80
80+69+b=180
to get B we subtract 80+69 from 180 and get 31
to get c we add 85+b and subtract it from 180 getting c=64
Answer:
Hey it's me again the life saver ;)
To find b we can use the linear pair property but since only 1 angle is given, we owuld need at least 2 angles on this situation to find b so, to do that we are first going to find a
a=>
53 + 47 + a = 180
a=180 - 100
a=80°
Now to find b=>
80 + 69 + b =180 (Because of Linear pair property)
b = 180-149
b=31°
Now that we have got b, to solve c, we can again use the sum of all angles in a triangle are 180°
c=>
31 + 85 + c =180
c=180 - 116
c=64
Hope it helps
Fill in the table using this function rule.
y = -3x+5
x:
-4
-2
0
2
Answer:
x=5/3 or 2
Step-by-step explanation:
Find the inverse. Then, graph both the function and its inverse.
y = 3x2
Answer:
y = 6
may help you i think so
Question 3
The distance from Mason's house to Kevin's house is about 5 x 10 to the power of 5 inches. The distance from Mason's house to Chloe's house is about 8 x 10 to the power of 7 inches
The distance from Mason's house to Chloe's house is how many times greater than the distance from Mason's to Kevin's house?
9514 1404 393
Answer:
160
Step-by-step explanation:
Your calculator can compute the ratio of distances for you.
[tex]\dfrac{8\times10^7}{5\times10^5}=\dfrac{8}{5}\times10^{7-5}=1.6\times10^2=\boxed{160}[/tex]
Chloe's house is 160 times as far as Mason's house.
What is the percent saved on a pair of sun glasses with a regular price of $15.95 which are on sale for $13.56?
Answer:
15%
Step-by-step explanation:
15% of 15.95 is 2.39, which if we subtract from 15.95 we get 13.56
Could I please have Brainliest? Hope this helps! :)
Answer:
100%->15.95
1%->0.1595
15.95-13.56= 2.39
2.39÷0.1595
≈ 14.98% (corrected to 2 decimal places)
There are 15 trucks, 4 cars, and 2 buses in the parking lot. What is the ratio of cars to buses
solve this f(x)=1/2|x-1|-1
Answer:
x1 = -1,x2 =3
Step-by-step explanation:
At a restaurant, your bill is $130. If you want to
leave a 10% tip,
what is your total?
Answer:
$143
Step-by-step explanation:
10% = 0.10
130 * 0.10 = $13
$130 + $13 = $143
Answer:
13=tip 143=total
Step-by-step explanation:
dived 130 by 10 also that's a lot of Money
What is the radius of the circle?
Answer:
5 cm
Step-by-step explanation:
To find the radius, divide the diameter by 2.
10/2 = 5
A chef has several recipes that use different
amounts of milk. The table shows the number
of batches he had planned to make. He has time
to make only two recipes but wants to use as
much milk as possible. Which two recipes should
he make? Explain. Find the total amount of milk
he will use.
Answer:
6
Step-by-step explanation:
Peter has built a gazebo, whose shape is a regular heptagon, with a side length of $1$ unit. He has also built a pathway around the gazebo, of constant width $1$ unit, as shown below. (Every point on the ground that is within $1$ unit of the gazebo and outside the gazebo is covered by the pathway.) Find the area of the pathway.
Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle = [tex]\frac{360}{7}[/tex] = 51.43°
Now,
Central angle / 2 = [tex]\frac{360}{14}[/tex] = 25.71°
And
height = [tex]\frac{1}{2}.\frac{1}{tan25.41}[/tex] = 1.038
Now,
Inner area of gazebo = 7·[tex]\frac{1}{2}[/tex]·1·(1.038) = 3.634 unit²
Outer area of gazebo = ([tex]\frac{2.038}{1.038}[/tex])²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
Find the probability of rolling a 5 or 6 on a fair dice
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex]
This is because there is only one "5" and one "6" in a dice. Moreover the total number of numbers in a dice are 6 so the denominator will be 6. Then when the word 'or' is present it means that both the probabilities must be added.
P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex]
[tex]\frac{2}{6}[/tex] can be simplified further. Both 2 and 6 are factors of 2 so..
[tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
P (of rolling a 5 or 6 on a fair dice) = [tex]\frac{1}{3}[/tex]