Answer:
128 miles
Step-by-step explanation:
The number of miles Amy's parents drove altogether is 128 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Amy's dad drove 3 miles for every 5 miles her mom
drove.
So, the ratio is 3:5
Amy's mom drove 32 more miles than her dad
Let number mile Amy's father drove be x and then the number of miles Amy's mom drove will be x+32
Here, x/(x+32) =3/5
5x=3(x+32)
5x=3x+96
2x=96
x=48
So, x+32=80
Then, total distance is 80+48=128 miles
Therefore, the number of miles Amy's parents drove altogether is 128 miles.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Find the percent increase from 15 to 18
Answer:
The percentage increase would be 20%
Step-by-step explanation:
worked it out
The percent increase from 15 to 18 is 20%.
To find the percent increase from 15 to 18, we can use the following formula Subtract the initial value from the final value, then divide the result by the absolute value of the initial value.
Percent Increase = (New Value - Old Value) / Old Value * 100
Using this formula, let's calculate the percent increase:
Percent Increase = (18 - 15) / 15 * 100
Percent Increase = 3 / 15 * 100
Percent Increase = 0.2 * 100
Percent Increase = 20
Therefore, the percent increase from 15 to 18 is 20%.
To know more about percent increase click here :
https://brainly.com/question/34048889
#SPJ2
Use the Distance Formula and the Pythagorean Theorem to find the distance, to the nearest tenth, from R to S.
R(-4, 5) and S(2, -1)
Method 1
Use the Distance Formula. Substitute the values for the coordinates of R and s into the Distance Formula.
Answer:
R(0,10) S(0,0)
Step-by-step explanation:
uhhh-
The straight line L, has equation y = 3X - 4.
The straight line L2, is perpendicular to L, and passes through the point (9, 5). Find an equation of line L2. Show your working out.
Step-by-step explanation:
y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = 3x - 4 as line L.
Slope of line L = 3
=> Slope of line L2 = -1/3
We have y = -1/3 x + c as our line L2 equation.
When x = 9, y = 5.
=> (5) = -1/3 * (9) + c
=> 5 = c - 3, c = 8
Hence the answer is y = -1/3 x + 8.
The equation of required line [tex]l_2[/tex] is .
Y = mX+c
[tex]Y = \frac{-1}{3} x + 2[/tex]
Given, The equation of straight line L.
Y=3X-4
compareing with the standard equation of line
Y=mX+c
slope of the equation of line L is [tex]m_1[/tex]= 3.
The product of slopes of two perpendicular lines is -1.
[tex]\rm m_1. m_2 = -1[/tex]
[tex]3.m_2 = -1\\m_2 = \frac{-1}{3}[/tex]
The slope of perpendicular line is and it passes through the point (9,5). So the equation of the line is
[tex]y = m_2x+c[/tex]
[tex]5 = -\frac{1}{3} . 9 + c[/tex]
5 = -3 + c
5+3 = c
c = 8
Therefore, the equation of required line [tex]l_2[/tex] is .
Y = mX+c
Y = [tex]\frac{-1}{3} X +8[/tex]
For the more details follow the link given below.
https://brainly.com/question/24143133?
Which of the following statements is correct? Group of answer choices For day-to-day business data analysis, most firms rely on a large staff of expert statisticians. A statistical test result that is significant also has practical importance. A parameter is a measure that is calculated from a sample. Statistics is the science of believability.
Answer:
Step-by-step explanation:
From the answer choices available the answer that is correct is that for day-to-day business data analysis, most firms rely on a large staff of expert statisticians. This is because on a daily basis firms receive large sets of data from all of their business movements, therefore a large staff of highly experienced individuals is needed in order to handle and document all of these numbers carefully so that no mistakes are made. The smallest mistake in the firm's financial accounts can lead to a very costly loss for the company.
What is the end behavior of the graph of f(x) = -0.25x2 – 2x + 1?
End behavior means what are the y-values doing as the x-values both increase and decrease without bound.
This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.
As x increases, f(x) decreases.
As x decreases, f(x) decreases.
Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
f(x) = -0.25x² – 2x + 1
A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.
The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.
Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
Simplify c x d x 4 =
Answer:
Ya the person above me is right 4cd
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
16
Answer: [tex]8\sqrt{3}[/tex]
Step-by-step explanation: x^2 + b^2 = c^2 x^2 + 8^2 = 16^2 x^2 + 64= 256 x^2= 192 x= [tex]\sqrt{192}[/tex] x= 8[tex]\sqrt{3}[/tex]
Please answer this correctly without making mistakes
Answer:
6 tbsp and 2 tsp
Step-by-step explanation:
Hope this helps!
Solve the equation y=10x + 28.75
Answer:
x=y/10-2.875
slope=10
y= (0,28.75)
Standard form; 40x-4y=-115
Step-by-step explanation:
Not sure which answer you're looking for, but hope this helps!
find the length of side VW
Answer:
46 units.
Step-by-step explanation:
To find the perimeter, you need to add up all the sides. Knowing this, we can set up an equation to solve for y.
2(5y + 1) + 2(4y + 3) = 170
10y + 2 + 8y + 6 = 170
18y + 8 = 170
18y = 162
y = 9
Now that we know y = 9, we can solve for vw.
vw = 5(9) + 1
vw = 45 + 1
vw = 46
Therefore, line vw is 46 units.
Answer: VW=11
4y+3=5y+1
2=y
5(2)+1
11
A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?
Answer:
5,940 cubic centimeters
Step-by-step explanation:
Volume of puzzle box
= Area of base*Height
= 220*27
= 5,940 cubic centimeters
Value of x in the equation 2(x+3)=4(x-1)?
Answer:
x = 5
Step-by-step explanation:
In this question, you would solve for x.
Solve:
2(x + 3) = 4(x - 1)
Use the distributive property.
2x + 6 = 4x - 4
Subtract 4x from both sides.
-2x + 6 = -4
Subtract 6 from both sides.
-2x = -10
Divide both sides by -2
x = 5
The value of x is 5.
8. What is the 10th term of the geometric sequence
a(n)= -3(2)^x-1
a. -54
b. -3,072
c. -10,077,696
d. -1,536
Answer:
n=10
a10= - 3 (2)^(10-1)= -3(2)^9
= -1536
Pls help 10 easy points!!!
Answer:
D
Step-by-step explanation:
Can anyone solve this for me? Ty:)
[tex]3 {x}^{2} + 3x - 3 + 5 + 3 {x} - {x}^{2} \\ {2x}^{2} + 6x + 2[/tex]
therefore your answer is[tex]2 {x}^{2} + 6x + 2[/tex]
Plz very much help
last week, Haley scored 15 points. Haley increased her points 20% during her game this week compared to last week. How many points did she score this week?
Answer:
18
Step-by-step explanation:
15 + 20% = 18
If Hailey increased her points by 20%, she would score 18 points this week. Therefore, what we need to do is to multiply 15 by 0.20. How did we get 0.20? Well, we divided 20 by 100 to get 0.20. Anyway, once we have multiplied 15 by 0.20, we get 3. However, this answer would not be logical because she increased her points by 20% - we are going up and not down. So, we add 15 and 3 together to get a total of 18 points scored.
A hot air balloon is rising vertically. From a point on level ground 110 feet from the point directly under the passenger compartment, the angle of elevation to the balloon changes from 25 degrees to 32 degrees. How far, the nearest tenth, does the balloon rise during this period
Answer:
17.44 ft.
Step-by-step explanation:
Given,
The Distance of the hot air balloon: 110 ft
Change in elevation, [tex]\theta_1 = 25^0, \theta_2 = 32[/tex]
We know that,
[tex]\tan \theta = \dfrac{Perpendicular}{base}[/tex]
Now,
[tex]\tan \theta_1 = \dfrac{h_1}{110}[/tex]
[tex]\tan 25^0= \dfrac{h_1}{110}[/tex]
[tex]h_1 = 51.294\ ft[/tex]
[tex]\tan \theta_2= \dfrac{h_2}{110}[/tex]
[tex]\tan 32^0= \dfrac{h_2}{110}[/tex]
[tex]h_2 = 68.736\ ft[/tex]
Rise of balloon = 68.736 - 51.294
= 17.442 ft
= 17.44 ft
Hence, the rise of the balloon rise is 17.44 ft.
Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125
Answer:
a b and e
Step-by-step explanation:
hope this helps
Answer:
it b and e
Step-by-step explanation:
rrrrrrrrrrrrrrr
Elyse's cell phone plan allowes up to 8 GB of data each month. She received an alert that she used 95% of her Data. How much data does she have left
Answer:
She has 400 megabytes left
Step-by-step explanation:
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters. Round each dimension to 4 decimal places
Answer:
[tex]x=23/\sqrt{6}[/tex],
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Surface area is 529 square meters
Generally the dimensions of the cuboid
[tex]v=x^y[/tex]
[tex]D=4xy+2x^2 =529[/tex]
[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]
[tex]V' =529-6x^2/4[/tex]
[tex]v'=0[/tex]
Therefore
[tex]529=6x^2[/tex]
[tex]x=\sqrt{\frac{529}{6} }[/tex]
[tex]x=23/\sqrt{6}[/tex]
Mathematically
[tex]v''=\frac{12x}{4}[/tex]
[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]
[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Therefore
[tex]x=23/\sqrt{6}[/tex]
and
[tex]y= \frac{23}{6\sqrt{6}}[/tex]
Solve for “y.”
Please help!
if 50% is 30 what is 100%
Answer: its 60.......
Eleven more than four times a number is 23
Hello :)
Please help me solve this
Explain answer
Answer:
B
Step-by-step explanation:
Pick any point on both triangles and compare the points to see how they changed.
C to F went from (0,4) to (0,2) went down by 1/2
and it's a dilation of the bigger one of 1/2 so it's B
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
who want's to do my homework? :D Also this might get deleted cause brainly is out to get me D:
Simplify the following rational expression. Use absolute value symbols when needed.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
1. [tex]\sqrt[3]{\frac{8}{216} }[/tex]
2. [tex]\sqrt[3]{\frac{1}{27} }[/tex]
3. [tex](\frac{1}{27})^{\frac{1}{3} }[/tex]
3. Since [tex](\frac{1}{3}^{3})[/tex] is [tex]\frac{1}{27}[/tex], the answer should be [tex]\frac{1}{3}[/tex].
Given ABC with A(0, 0), B(2, 3),
and C(4,0), prove ABC is isosceles
Step-by-step explanation:
1. if to calculate the length of AB; AC and BC, then:
[tex]|AB|=\sqrt{(2-0)^2+(3-0)^2} =\sqrt{13}.[/tex]
[tex]|AC|=\sqrt{(4-0)^2+(0-0)^2} =4.[/tex]
[tex]|BC|=\sqrt{(2-4)^2+(0-3)^2}= \sqrt{13}.[/tex]
2. if to compare the calculated lengths, then:
AB=BC. It means the given triangle is isosceles.
What is the decimal multiplier to increase by 99%?
Answer:
1.99
Example:
Increase 10 by 99%. 99% of 10 is 9.9 so increased value would be 10 + 9.9 = 19.9
10 x 1.99 = 19.9 ... same answer
Step-by-step explanation:
Answer:
It is 1.99
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
I need help with math please explain or show how to do t
Answer:
B t = 9(5)
Step-by-step explanation:
for each mile the time increased by 9 minutes. So you can find the time in minutes by multiplying the number of miles by 9.
Please help me again!!!!!!!!
Answer:
I agree with Mo.
Step-by-step explanation:
Considering Mo's chart;
0 Tth Hth Thth
1 2 1 = 0.121
Considering Annie's chart;
0 Tth Hth Thth
0 12 1 = 0.0121
From the results obtained from Mo and Annie's chart, only Mo's chart show a grid of of 0.121.
Thus, I agree with Mo.