So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.
What is cost?Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.
Therefore, the total cost for the 10 kids is:
5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75
Simplifying this expression, we get:
8x + 2.75 = 8(x + 0.34375)
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what’s the circumference, to this problem ?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=5*\pi[/tex] which then just narrows down to [tex]C=15.708[/tex].
Hope this helps! Let me know if you have any questions
6. Abbi invested $1,000 in a certificate of deposit with a simple interest rate of 4%. Find the interest earned in 8 years. Then find the total of principal plus interest.
Answer:
$1320
Step-by-step explanation:
4%=0.04
Intrest = 0.04x8
Intrest = 0.32
Intrest = 1000x0.32
Intrest = 320
Then add 1000+320=1320
PLS help i will give you 26 points and brainly pls i need this for tomorrow i don't understand the question that i left blank. It Math thanks. :)
Answer:
145 is the outlier
Step-by-step explanation:
When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.
if one angle of a triangle is 63 and the other two are 7x degrees and 6x degrees what is X worth
Answer:
x = 9
Step-by-step explanation:
Sum of all angles of a triangle = 180
63 + 7x + 6x = 180
63 + 13x =180
13x = 180 - 63
13x = 117
x = 117/13
x = 9
Answer:
X= 9
Step-by-step explanation:
The angles in a triangle all add up to 180°
Hence we can form this equation :
63 + 7x + 6x = 180°
Subtracting 63 from both sides:
7x + 6x = 117°
Adding together to find the total X:
13x = 117°
Finally, diving by 13 on both sides:
X = 9
6*10^-2 is how many times as large as 2*10^-8?
Choose 1 answer:
A
3*10^-10
B
3*10^-6
C
3*10^6
D
3*10^10
Answer:
C) [tex]3\cdot10^{-6}[/tex]
Step-by-step explanation:
Divide the two numbers:
[tex]\displaystyle \frac{6\cdot10^{-2}}{2\cdot10^{-8}}=\frac{6}{2}*\frac{10^{-2}}{10^{-8}}=3\cdot10^{-2-(-8)}=3\cdot10^{-2+8}=3\cdot10^{6}[/tex]
Thus, C is the correct choice.
Answer:
is A
Step-by-step explanation:
Answer the one you would like thank you.
Answer: 1.9
Step-by-step explanation:
Question 11
9.88 rounds to 10
5.2 rounds to 5
10/5 = 2
Which is the completely factored form of 12x4 39x3 9x2? 3x2(x – 3)(4x – 1) 3x2(x 3)(4x 1) 3x(x 3)(4x 1) 3x(x – 3)(4x 1)
The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
How to factor the expression?The polynomial expression is given as;
12x⁴ + 39x³ + 9x²
Factor out 3x² from the expression
3x²(4x² + 13x + 3)
Expand
3x²(4x² + 12x + x + 3)
Factorize the expression
3x² * 4x(x + 3) + 1(x + 3)
Factor out x + 3
3x²(4x + 1)(x + 3)
Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
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the original price for a set of golf clubs is $500 at the beginning of the seasons the price was marked up by 20% at the end of the seasons the price at the beginning of the season is marked down by 20% how does the final price compare with the original price of $500
Answer: The final price is less than the original
Step-by-step explanation:
Let us break this down a bit.
The original price is $500
-> At the beginning, the price was marked up by 20%
-> At the end, the price at the beginning of the season is marked down by 20%
We are solving for: "How does the final price compare with the original price of $500"
First, we will find the price at the beginning.
-> Please note a percent divided by 100 becomes a decimal
20% / 100 = 0.2
$500 * 0.2 = $100
$500 + $100 = $600
Now, we will find the price at the end.
$600 * 0.2 = $120
$600 - $120 = $480
The final price is less than the original price of $500.
Answer:
Step-by-step explanation:
price marked up by 20%= 500+ [tex]\frac{20}{100}[/tex]×500
=$600
price marked down by 20%= 600- [tex]\frac{20}{100}[/tex]×600
=$480
the final price is less than the original price
The side lengths of the rectangle are multiplied by 1/3 what is the new area
Answer:
New area is 1/9th the original area
Step-by-step explanation:
Original area = L x W
now reduce the side lengths
1/3 L x 1/3 W
1/3 * 1/3 * L x W
1/9 L x W <===== the new area is 1/9th the original area
Consider two events such that P(A) = equals 3/5 , P(B) = 2/3 , and P(A ∩ B) = 1/5 . Are events A and B independent events?
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
Answer:
Option 2
Step-by-step explanation:
Checking whether P(A) × P(B) = P(A∩B) :
3/5 x 2/3 = 1/52/5 ≠ 1/5Since this does not obey the Multiplication rule of probability, these events are not independent.
So, the answer is :
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)
Answer:
Option B
Step-by-step explanation:
Option A should be true if they are independent
P(A)P(B)3/5×2/32/5≠1/5So
They are dependant
Find the length of the missing side. Write your answer as a number rounded to 2 decimal
places. Example: 2√3 = 3.46
If m/C=
= 30° and AB =18, find the length of BC =
A
C
B
Answer: BC = 80
Step-by-step explanation:
One of the many Pythagoean Triplets is 18, 80, and 82. This is the only one with 18 as one of the sides other than the hypotnyse.
Find the length of a hypotenuse for a right triangle with legs 3 and 3. Round your answer to the nearest hundredth.
Answer:
H=4.243
Step-by-step explanation:
Formula: A^2+B^2=C^2
(3)^2+(3)^2=C^2
9+9=C^2
sqrt18=C
C=4.242640....
Can you use Pythagorean Theorem to find the missing side?
Answer:
b=20
Step-by-step explanation:
[tex] {b}^{2} = {c}^{2} - {a}^{2} \\ b = \sqrt{ {25}^{2} - {15}^{2} } \\ b = 20[/tex]
What is the slope of the line that contains the points in the table?
X
4
-1
2
8
Y
-9
-9.75
-10.5
-12
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
slope/gradient=[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
=[tex]\frac{-9.75+9}{-1-4}[/tex]
=[tex]\frac{3}{20}[/tex]
If a sphere has a volume of 9198.1 in, what is the radius of the sphere?
(use at 3.14)
Radius:
i
Answer:
13
Step-by-step explanation:
Volume to find radius: [tex](3\frac{V}{4\pi})^1^/^3[/tex]
Substitute: [tex](3\frac{9198.1}{4\pi})^1^/^3[/tex]
Solve: [tex](3(732.3))^1^/^3[/tex]
[tex]2196.9^1^/^3[/tex]
13≈r
Complete the equation describing how x and y are related
Answer:
Negative number Addition and Subtraction.
Step-by-step explanation:
Ok so, 1-(-4)+ to 5
and 2-(-3) also = to 5 so you can kinda see a pattern if you get this 1 has to subtract by 5 bc 1-5=-4 and the same for the others so I hope I get this right and it helps.
y=x+-5
Use the function below to find F(-4) F(x) = 2^x
To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,
F(x) = 2^x
will become,
F(-4) = 2^(-4) = 1/16 or 0.0625
The midpoint of overline AB is M(7, -5) If the coordinates of A are (6, -7) what are the coordinates of B
Answer:
(6.5,-6)
Step-by-step explanation:
(7+6)÷2= 6.5
(-5+-7)÷2=-6
express x^2-8x+5 in the term (x-a)^2-b where a and b are integers
Answer:
(x-4)² -11 where a = 4, b = 11
Step-by-step explanation:
The final form (x-a)² - b evaluates to x² - 2ax + a² -b
Matching
x² - 8x + 5
x² - 2ax + a² -b
This gives us -2ax = -8x or -2a = -8 or a = 4
and a² - b = 11 ==> 16 - b = 11 or b =5
Rewritten form is
(x-4)² -11
What is the solution of logx 729=3?
The answer is 9 (B) on edge.
Answer:
x = 9
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{x}[/tex] 729 = 3 then
729 = x³
note 729 = 9³ , so
9³ = x³ ( equating the bases) , gives
x = 9
Can you simplify 10/24
Answer: 5/12
Step-by-step explanation: basically divide each number (10 &24) by 2
Look at the picture below
The median number of shoes for the girls is greater than the median number of shoes for the boys.
The median number of shoes for the boys is greater than the median number of shoes for the girls
The mean number of shoes for the boys is greater than the mean number of shoes for the girls.
The value of Q3 for the boys is greater than the value of Q3 for the girls
Answer:
The median number of shoes for the girls is greater than the median number of shoes for the boys.
The end points of Line GH are G (10,2) and H(4,8). Find the coordinates of the midpoint M.
Answer:
(10-4)/2 , (2-8)/2
6/2 , -6/2
Midpoint = (3,-3)
Dora and Eva share some grapes in the ratio 2:5
Eva gets 12 more grapes than Dora
how many grapes did they share
Answer:
28 grapes in total
Step-by-step explanation:
grapes are shared in the ratio 2 : 5 = 2x : 5x ( x is a multiplier )
Eva gets 12 more grapes than Dora , then
5x = 2x + 12 ( subtract 2x from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
total grapes = 2x + 5x = 7x = 7 × 4 = 28
Eva gets 5x = 5 × 4 = 20
Dora gets 2x = 2 × 4 = 8
that is Eva gets 12 more than Dora
Find the equation of a line that passes through the point (2,4) and has a gradient of 1/3 . leave your answer in the form y = m x + c
Answer:
y = mx + b
y = 1/3x + b
Use (2,4) to find b
4 = 1/3(2) + b
b = 4 - 2/3
b = 12 - 2
3
b = 10/3
The equation will be:
The equation will be: y = 1/3x + 10/3
please answer!! will mark brainliest to whoever answers both :)
Answer:
2) 10.01 year
Step-by-step explanation:
1) already answered elsewhere in your posts
2) 9000 = 6500 e^(.0325 * t) where t = years
9000/6500 = e^(.0325*t) take ln (natural log) of both sides
.3254224 = .0325t
t = 10.01 10.01 year
For all values of x,
x² + 6x - 2 = (x+p)² + q
Find the value of p and the value of q.
Step-by-step explanation:
[tex] {x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q[/tex]
[tex]2p = 6[/tex]
[tex] {p}^{2} + q = - 2[/tex]
[tex]p = 3[/tex]
[tex] {3}^{2} + q = - 2[/tex]
[tex]q = - 11[/tex]
p=3, q=-11
Help, please the product of x and y
[tex]xy \\\\=\left(\log_{5\sqrt 5} ~125 \right)\left(\log_{2\sqrt 2} ~64 \right)\\\\=\left(\log_{5\sqrt 5} ~5^3 \right)\left(\log_{2\sqrt 2}~2^6 \right)\\\\=\left(3\log_{5\sqrt 5} ~5 \right)\left(6\log_{2\sqrt 2} ~2 \right)\\\\=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5\sqrt 5\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2 \sqrt 2 \right)}\right)\\\\[/tex]
[tex]=\left( 18 \cdot \dfrac{\ln5}{\ln\left(5^{\tfrac 32}\right)} \cdot \dfrac{\ln 2}{ \ln \left( 2^{\tfrac 32} \right)}\right)~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12}~~ \right]\\\\=\left( 18 \cdot \dfrac{\ln5}{\tfrac 32\ln5^} \cdot \dfrac{\ln 2}{\tfrac 32 \ln 2 }\right)\\\\\\=18 \cdot \dfrac 23 \cdot \dfrac 23 \\\\=\dfrac{72}9\\\\=8[/tex]
The sum of 7.2 and a number is 10
Someone help?
Answer:
2.8
Step-by-step explanation:
Just substract 7.2 from 10
You get: 2.8
Answer:
2.8
Step-by-step explanation:
because 7.2 plus 2.8 equals
Mario has captured many yellow-spotted salamanders. He weighs each and then counts the number of yellow spots on its back. This trend line is a fit for these data A. Weak B. Negative C. Parabolic D. Strong
The trend line is a strong fit for the data on yellow-spotted salamanders.
What is a trend line?A graph can be described as a pictorial representation of data. A trend line is used to show the direction of the data plotted. The trend line shown is positive. This means that as the number of spots increases, the weight of the salamander increases. The trendline is strong because most of the dots lie along the trendline.
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