Answer:
260 miles.
Step-by-step explanation:
First, find the unit rate (the rate which the numerator is one but the fracvtion is equivilant), in this case the unit rate would be 1/40, or 1:40. Replace the 1 in the ratio ti=o get 6.5:x. Find x. We know that the unit rate is 1:40, so multiply 6.5 by 40 to get 260. Hope this helps!
Find the measures of the interior angles of the triangle
please help
Answer: x = 88 degrees
Step-by-step explanation:
The angles of a triangle add up to 180 degrees.
So
48 + x + (x - 44) = 180
48 + 2x - 44 = 180
2x + 4 = 180
2x = 176
x = 88
Angle B = 88 degrees
Angle C = 44 degrees
They are 9 guitars sold in a week with a total of 3,611 dollars. Electrics are 479 each and acustics are 339 each. How many of each guitars were sold"?
Two interior decorating teams are competing in a kitchen remodel competition. Their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. Time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. Whoever has the largest final score wins $150,000. Suppose Team A received 15 points for time to complete, 9 points for design, and 14 points for total cost. Suppose Team B received 17 points for time to complete, 7 points for design, and 13 points for total cost. Using technology, determine which team won the competition. Team A won by 1.9 points. Team A won by 1.1 points. Team B won by 1.9 points. Team B won by 1.1 points.
Answer:
listen there is a lack of information the information you give isn't enough
The correct answer is Team B won by 1.1 points.
To determine which team won the competition, we need to calculate the final scores for both Team A and Team B based on the given weights for each category and the points they received in each category.
For Team A:
- Time to complete (75% of 15 points) = 0.75 * 15 = 11.25 points
- Design (15% of 9 points) = 0.15 * 9 = 1.35 points
- Total cost (10% of 14 points) = 0.10 * 14 = 1.4 points
Total score for Team A = 11.25 + 1.35 + 1.4 = 14 points
For Team B:
- Time to complete (75% of 17 points) = 0.75 * 17 = 12.75 points
- Design (15% of 7 points) = 0.15 * 7 = 1.05 points
- Total cost (10% of 13 points) = 0.10 * 13 = 1.3 points
Total score for Team B = 12.75 + 1.05 + 1.3 = 15.1 points
Now, we compare the total scores of both teams. Team A has a total score of 14 points, while Team B has a total score of 15.1 points. Therefore, Team B won by 1.1 points.
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PLEASE HELPP
Subject: Trigonometry
Answer:
51.3
Step-by-step explanation:
[tex]\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}[/tex]
Answer:
45
Step-by-step explanation:
in a geometric series, the sum of the first three terms is 14.25 and the sum of the first four terms is 24.375. find the exact value of the first term and the common ratio. give your answer in the format ‘u1,r’, without spaces.
The first term of the Geometric Series = 3 and its common ratio = 3/2.
What is a geometric Series?An unlimited number of terms with a fixed ratio between each term make up a geometric series.
For 'n' termed GP with a = first term and r = common ratio, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex]
Given:
Sum of first three terms of a G.P. = 14.25Sum of first four terms of the G.P. = 24.375To find: First term of the GP and the common ratio.
Finding:
As, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex], for n =3,
[tex]S_{3}=\frac{a(r^{3}-1)}{r-1}=14.25[/tex] (eqn 1)
=> Similarly for n = 4,
[tex]S_{4}=\frac{a(r^{4}-1)}{r-1} = 24.375[/tex]
On dividing [tex]S_3 by S_4[/tex], we get:
[tex]\frac{14.25}{24.375}=\frac{r^{3}-1}{r^{4}-1}[/tex]
=> On solving the equations, we get:
[tex]14.25r^{4}-24.375r^{3}+10.125=0[/tex]
r = 3/2 (on factorizing the equation)
Now, substituting this in eqn 1
=> [tex]14.25=\frac{a((\frac{3}{2})^{2}-1)}{\frac{3}{2}-1}[/tex]
=> a = 3 on further solving the equation for a.
Hence, the first term of the Geometric Series = 3 and its common ratio = 3/2.
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what is the perimeter of a polygon that has the coordinates of (-3,2) (2,2) (2,-4) (-1,-4) (-1,-2) (-3,-2) (-3,2)
The perimeter of a polygon is 24 units.
In this question, we have been given the coordinates of a polygon.
we need to find the perimeter of a polygon.
Let A= (-3,2), B = (2,2), C = (2,-4), D = (-1,-4), E = (-1,-2), F = (-3,-2)
First we find the length of each side of a polygon.
|AB| = √5² + 0²
|AB| = 5
|BC| = √0² + (-6)²
|BC| = 6
|CD| = √(-3)²+0²
|CD| = 3
|DE| = √0²+2²
|DE| = 2
|EF| = √(-2)²+0²
|EF| = 2
|FA| = √0²+4²
|FA| = 4
The perimeter of a polygon would be,
P = AB + BC + CD + DE + EF + FA
P = 5 + 6 + 3 + 2 + 2 + 4
P = 24 units
Therefore, the perimeter of a polygon is 24 units.
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Find the value of y+12 when y=7?
Answer:
19
Step-by-step explanation:
When y = 7
Replace 7 with y.
[tex]7 + 12 = 19[/tex]
If this answer helped you, give this answer a heart, rate it and if you could then please mark it brainliest. Thanks!
please help, I suck at math and I cant play no games til I finish everything..sad.
Answer:
true;the expression s are the same for all values of the variables
Melody works at The Accokeek Ice Cream Hut. She earns $14 per hour. This week,
her boss had to cut her schedule, so she only worked 80% of the number of hours
she normally works. However, to compensate her, she was given a bonus of $30.
At the end of the week, Melody had earned $198.
The number of hours Melody worked this week was 15.
The hourly earnings of Melody at the Accokeek Ice Cream Hut are $14.Let the number of working hours in a week be "x".The number of hours Melody actually worked this week is 80 percent of "x".The number of hours Melody actually worked this week is 0.8x.The amount of compensation Melody received is $30.The total amount Melody earned at the end of the week was $198.The amount Melody should get at the end of the week is the sum of the compensation amount and the earnings for the number of hours she worked.198 = 30 + 14*0.8x168 = 11.2xx = 15Thus, Melody worked for 15 hours.To learn more about percent, visit :
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How long will it take you to ski a distance of 36 miles at the speed of 5 miles per 45 minutes
To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min
The formula and procedure we will use to solve this exercise is:
t = x/v
Where:
x = distancet = timev = velocityInformation about the problem:
v = 5 miles per 45 minutesx = 36 milest = ?Calculating the velocity we have:
v = x/t
v= 5 miles/45 min
v = 0.111 miles/ min
Applying the time formula from the uniformly rectilinear motion (URM), we have:
t = x/v
t = 36 miles/0.111 miles/ min
t = 324 min
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1
Answer:
Solve for x:
x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)
Evaluate: x= 2
Step-by-step explanation:
In what situation would a geometric model be better than a binomial model
Answer:
a geometric model shows the lay out of places like earth it tells us where our best water sources are.
b) Harri hires a pedalo for 45 minutes.
He takes the pedalo out at 2:45 pm.
At what time must he return the pedalo?
Answer:
He returns the pedalo after 3.00 pm
Solve the inequality for .x.
-1/
6
x+4> −3x −8
Simplify your answer as much as possible
Answer:
x>-3
Step-by-step explanation:
collect like terms by changing the signs ..
x+4>-3x-8:to: x+3x>-8-4
Hence find the value of x
:4x>-12
4x/4 >-12/4
x>-4
A. 2z-1+3z=0
B. 5z-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer
Add/subtract the same quantity to/from both sides.
Add/subtract a quantity to/from only one side.
Rewrite one side for both) by combining like terms.
Rewrite one side for both) using the distributive property.
2) Based on the previous answer, are the equations equivalent? In other words, do they have the
same solution?
Choose 1 answer:
Yes
No
Answer:
1.) like terms and 2.) since all you did was combine like terms you didn't change the value, it's the same as before just "fixed" so yes
Divide £800 in the ratio 6 : 1 : 3
Answer:
6: 480
1: 80
3: 240
I hope this is what you meant, and I hope I was able to help you!
what bigger 3/5 or 0.85
Answer:
0.85 is bigger
Step-by-step explanation:
To compare fractions you need to bring them to the same format.
1) Convert 3/5 to decimal:
3/5 = 30/50 = 60/100 = 0.60Compare:
0.60 < 0.85 as 60 < 852) Convert 0.85 to fraction:
0.85 = 85/100 = 17/20Bring 3/5 to the same denominator:
3/5 = (3*4)/(5*4) = 12/20Compare:
12/20 < 17/20 as 12 < 17 (comparing the numerators)HELP ASAP
Find E, the midpoint of RD if R (4,-5) and D (2,3)
Answer:
(3, - 1 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )
midpoint = ( [tex]\frac{4+2}{2}[/tex] , [tex]\frac{-5+3}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
A.
Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.
B.
Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.
C.
No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.
D.
No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.
Answer:
C
Step-by-step explanation:
machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.
For each of the following functions, evaluate: f(-4), f(-2), f(0), f(2), and f(4)
17.)f(x)=3x-7
19.) ƒ(x)=−2x²+5x+1
Of 6.5 hectoliters of fuel, the private spilled 350 milliliters. how many liters did the private spill?
The private spilled 0.35 litres of fuel
How to calculate the amount of litres spilled ?The first step is to convert 6.5 hectolitres to litres
= 6.5 × 100
= 650 litres
Next is to convert millilitres to litres
= 350/1000
= 0.35 litres
Hence the number of litres spilled is 0.35 litres
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Find the area of the figure. Write the answer is radical form
The Area of the given figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .
Area of a rectangle can be found by using the formula
Area = length*breadth
in the given question
length of the rectangle
= [tex](4x)^{\frac{3}{2} }[/tex]
On simplifying we get
[tex](4x)^{\frac{3}{2} }=(2^{2} x)^{\frac{3}{2} }\\ \\ =2^{2*\frac{3}{2} } *x^{\frac{3}{2} } }[/tex] ( as (a.b)ⁿ=aⁿ.bⁿ )
[tex]=2^{3} *x^{\frac{3}{2} } }\\ \\ =8*x^{\frac{3}{2} } }[/tex]
breadth of the rectangle = [tex]12x^{\frac{3}{4} }[/tex]
The required area = length * breadth
Substituting the values we get
Area = [tex]8*x^{\frac{3}{2} } }[/tex] * [tex]12x^{\frac{3}{4} }[/tex]
=96*[tex]x^{\frac{3}{2}+\frac{3}{4} }[/tex]
taking LCM of exponents as 4 and solving further we get ,
=[tex]96x^{\frac{9}{4} }[/tex]
Expressing in radical form we get ,
Area = [tex]96\sqrt[4]{x^{9} }[/tex]
Therefore , the Area of the figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .
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This scale drawing of a rectangular rug
has dimensions 8 inches by 5 inches.
The actual rug is measure with a scale
factor of 4:1.
8 in
5 in
x ft
y ft.
S Enter the value of x and y for the actual rug width.
X =
y =
x would be 20 inches and y would be 32 inches.
Create a data set of 9 numbers that has a mean of 10 and a maximum of 15
Other answers are possible.
=========================================================
Explanation:
Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.
Due to the symmetry of that list, the mean = median = 10
The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.
To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.
Therefore, the set {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.
There are infinitely many other possible answers. The data set does not have to be symmetric like this.
miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. the area of the reduced photo is 64 square inches. in the equation (x – 3)2
Original sides of the square before reducing was 11 inches.
What is a quadratic equation ?A quadratic equation has highest degree of two and it has 2 roots.
According to the given question Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album.
Assuming sides of the square to be x inches.
∴ From the given data
( x - 3 )( x - 3 ) = 64 ( area of a square is product any two sides )
x² - 6x + 9 = 64
x² - 6x - 55 = 0
x² - 11x + 5x - 55 = 0
x( x - 11 ) + 5( x-11 ) = 0
(x - 11 )( x + 5) = 0
∴ x = 11 or x = -5. ( length of something can not be negative )
So, the original length of the sides of the square is 11 inches.
Original area is
= (11×11)
= 121 sq inches.
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Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54 Which equation can be used to find the number of pennies Ari has?
Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in fully simplified slope-intercept form is y = -x - 8.
How to find the equation of the line?It is assumed that a line in the graph will pass through some points on the x and y-axes.
We must determine the line's fully simplified intercept.
we know the standard form of a line that is
y = mx + b
here, m is a slope and b is the constant
On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).
The slope of the line passing through these points is:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ [/tex]
[tex]slope = \frac{ 8 - 0}{ 0 - 8} [/tex]
slope = 8/(-8)
slope = -1
then find the value of b
if x = 0 y = -8 then
y = mx +b
-8 = -1(0) + b
-8 = b
the value of b is -8
After inserting the values for m and c, the line's equation will be.
y = - x - 8
Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.
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A= 89cm root 2 square
Considering the given area of the square, it is found that it's side length is an irrational number.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.
What is the formula for the area of a square?
The area of an square of side length s is given by s squared, as follows:
A = s².
In this problem, the area is of 89 cm², hence:
s² = 89.
s = sqrt(89).
The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.
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1 Compare the coordinates of the corresponding vertices of ALMN and AL'M'N' in
the Example. Describe the effect of the 270° counterclockwise rotation on the
vertices. What other rotation of ALMN would have the same effect?
10. Solve the equation by completing the square. Round to the nearest hundredth if necessary. x²-3x - 3=0
-3.75, 6.75
2.72,0.28
0.87, 2.29
3.79,-0.79
The roots of the equation [tex]x^{2}[/tex]-3x-3=0 by completing the square method are 3.79 and -0.79.
Given that the equation is [tex]x^{2}[/tex]-3x-3=0.
We are required to find the roots of the equation by completing the square method.
Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation,cubic equation and many more depending on the power of the variables that are present in the equation.
The equation is [tex]x^{2}[/tex]-3x-3=0.
[tex]x^{2}[/tex]-3x=3
[tex](x+3/2)^{2}[/tex]=-(c-[tex]b^{2}[/tex]/4)
So,
[tex](x-3/2)^{2}[/tex]=-[-3-[tex](-3)^{2}[/tex]/4]
[tex](x-3/2)^{2}[/tex]=-[-3-9/4]
[tex](x-3/2)^{2}[/tex]=21/4
x-3/2=±[tex]\sqrt{21}[/tex]/2
x=([tex]\sqrt{21}[/tex]+3)/2,(-[tex]\sqrt{21}[/tex]+3)/2
x=(4.58+3)/2, (-4.58+3)/2
x=7.58/2, -1.58/2
x=3.79,-0.79
Hence the roots of the equation [tex]x^{2}[/tex]-3x-3=0 by completing the square method are 3.79 and -0.79.
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Answer:
by completing the square method the answer is 3.79 and -0.79.
Step-by-step explanation:
above