Answer:
2x^2 + 2x - 83 = 0
Step-by-step explanation:
Consecutive integers differ by 1
Let the first number be x
The next will be (x+1)
The sum of the squares of these two numbers is 85
so we have;
x^2 + (x + 1)^2 =85
= x^2 + x^2 + 2x + 2 = 85
2x^2 + 2x + 2-85 = 0
2x^2 + 2x - 83 = 0
A piece of wire is 240 cm long.
Peter cuts two 45 cm lengths off the wire.
He then cuts the rest of the wire into as many 40 cm lengths as possible.
Work out how many 40 cm lengths of wire Peter cuts.
Answer:
so 240-90cm he cut off=195cm. Then 45x2=80cm so 195-90cm=105cm.
Therefore, 105 divided by 40=2.625 so he cut off 6 pieces of 40cm lengths overall
Step-by-step explanation:
Solve:
One week, seventy-two percent of the animals that came to a veterinary hospital were dogs. If there were 230 animals total, how many were dogs?
Answer:
166 dogs were at the veterinary hospital
Step-by-step explanation:
Here, we want to know the number of dogs that were at the veterinary hospital
From the question, 72% of these animals are dogs
72% of a total of 230
Mathematically, the number of dogs are as follows;
dogs = 72% of 230
dogs = 72/100 * 230 = 165.6
since we cannot have a fractional dog, we round off to the nearest whole number which is 166 dogs
My sister promised to buy me 6 scrunchieas for every two laps I completed. I ran the whole race, which was 12 laps. How many scrunchieas did my sister buy me?
Answer:
12 ÷ 2 = 6
6 × 6 = 36
36 scrunchies
Answer:
someone deleted mine but its 36
Step-by-step explanation:
Maya spend 40% of her savings to pay for a bicycle that cost her $85. How much money was in Maya's savings to begin with?
Step-by-step explanation:
letπ be the percentage of her savings
=40+85
=125
=125+π=100
=π=100-125
=π=75
Makayla invested $99,000 in an account paying an interest rate of 2 % compounded
continuously. Mia invested $99,000 in an account paying an interest rate of 2%
compounded quarterly. To the nearest hundredth of a year, how much longer would
it take for Makayla's money to double than for Mia's money to double?
The diameter of a circle is 15 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Given that, the diameter of the circle 15 m. The circumference of a circle is 2πr. Then the circumference of the circle with the given diameter is 47.1 m.
What is circumference of a circle?Circumference of a circle is also called its perimeter and it describes the overall area of the surrounding circular path. The distance round a circle is its circumference, but this cannot be used as a definition if, as in many elementary treatments, distance is defined in terms of straight lines.
In these conditions, the limit of the perimeters of inscribed regular polygons may be described as the circumference of a circle as the number of sides increases without constraint. When describing abstract geometric forms as well as measuring real-world things, the term circumference is frequently used.
It is given that, the diameter of the circle = 15 m
radius r = diameter/ 2 = 15 m/ 2 = 7.5 m
circumference of circle = 2 π r
= 2 × 3.14 × 7.5 m
= 47.1 m
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I need help and please answer if you know this(i will give branlist)
Answer:
Reading in first person account of a slave auction is important because you get to read what they had to experience from their point of view.
Now all you have to do is look through the text that they want you to support your answer with. Look for parts of the text/passage that show what the slaves went through through THEIR point of view/first-person.
Hope this helped ;)
I just want the coordinates, thanks :)
Answer:
(0,1) and (1,4)
Step-by-step explanation:
The curve formed by a quadratic equation is called a...?
Answer: The curve formed by a quadratic equation is called a PARABOLA
Step-by-step explanation:
Answer:
Parabola
Step-by-step explanation:
If the function h is defined by h(x)=[tex]x^{2}[/tex]-3x+5,then h(2x+1)=
Given:
The function is:
[tex]h(x)=x^2-3x+5[/tex]
To find:
The value of [tex]h(2x+1)[/tex].
Solution:
We have,
[tex]h(x)=x^2-3x+5[/tex]
Putting [tex]x=2x+1[/tex], we get
[tex]h(2x+1)=(2x+1)^2-3(2x+1)+5[/tex]
[tex]h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5[/tex]
[tex]h(2x+1)=4x^2+4x+1-6x-3+5[/tex]
On combining like terms, we get
[tex]h(2x+1)=4x^2+(4x-6x)+(1-3+5)[/tex]
[tex]h(2x+1)=4x^2-2x+3[/tex]
Therefore, the required function is [tex]h(2x+1)=4x^2-2x+3[/tex].
Q+9=13 alegbra statement
Answer:
Q = 4
Step-by-step explanation:
Q = 13 - 9
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: q + 9 = 13}[/tex]
[tex]\large\text{SUBTRACT both sides by 9}[/tex]
[tex]\large\text{q + 9 - 9 = 13 - 9}[/tex]
[tex]\large\text{Cancel out: 9 - 9 because that gives you 0}[/tex]
[tex]\large\text{Keep: 13 - 9 because that gives you the value of q}[/tex]
[tex]\large\text{q = 13 - 9}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf q = 4 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1049:)}[/tex][tex]\large\text{SUBTRACT BOTH SIDES by 9}[/tex]
PLEASE HURRRYYYYYYY!!!!!!!!!!
Answer:
The first one
Step-by-step explanation:
The length of a rectangle is 8 inches more than the width. The area of the rectangle is 33 square inches. What is the length of the rectangle?
Step-by-step explanation:
Put x as the width and x+8 as the length. The equation would be x(x+8)=33 and it would factor out as (x-3)(x+11). The width is 3 and the length is 11. The perimeter would be 28.
Find the area of the shape
Answer:
158
Step-by-step explanation:
Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0
Answer:
C. 18
Step-by-step explanation:
Inverse of 1/3 = 3
3 x 6 = 18
18 flowerpots can be filled with these 6 bags.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Brianna has 6 bags of soil.
Filling one flowerpot requires 1/3 of a bag of soil.
So, the number of flowerpots filled using 6 bags
= 6 / (1/3)
= 6 x 3
= 18 pots
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Edison delivers
1/5 of the newspapers in the neighborhood, and Anita
delivers 1/2 of them. after edison and antia deliver the newspaper, what fraction of the newspaper remain
Answer:
the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
The computation of the fraction of the newspaper remains is shown below:
[tex]= \frac{1}{2} - \frac{1}{5} \\\\= \frac{5 - 2}{10} \\\\= \frac{3}{10}[/tex]
Hence, the fraction of the newspaper remains is [tex]\frac{3}{10}[/tex]
we simply deduct these two fractions so that the remaining fractions could come
Solve for x and y.?? having trouble
Answer:
c
Step-by-step explanation:
took the test
Answer:
Option C is the correct answer
[tex] x = 34 \\y=17\sqrt3[/tex]
Step-by-step explanation:
[tex] \sin \: 30 \degree = \frac{17}{x} \\ \\ \frac{1}{2} = \frac{17}{x} \\ \\ x = 17 \times 2 \\ \\ x = 34 \\ \\ \tan \: 30 \degree = \frac{17}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{17}{y} \\ \\ y = 17 \sqrt{3} [/tex]
Samuel invests £45 500 in an account that pays 4.5% compound interest per annum for the five years, then 3.5% . Work out how much money Samuel will have in his account in 13 years.
Answer:
$74,664.76
Step-by-step explanation:
We are to determine the future value of £45 500
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
Future value for the first 5 years = £45 500 x (1 + 0.045)^5 = $56,701.28
Future value for the remaining 8 years = $56,701.28 x ( 1 + 0.035)^8 = $74,664.76
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leaves 90 minutes before Horatio. How fast must Horatio ride to finish at the same time as Davie?
24 mph
24.5 mph
32 mph
33.3 mph
The speed Horatio ride to finish at the same time as Davie is mathematically given as
X=32 mph
What is the speed Horatio ride to finish at the same time as Davie?Question Parameter(s):
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long.
Davie rides at 20 miles per hour and leaves 90 minutes before
Generally, the equation for the speed Horatio is mathematically given as
X=d/t
Therefore
X= (80)/(2.5)
X=32 mph
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Can someone help me with this
C.
Volume of a cylinder is pi times radius squared times height.
Solve the inequality 2ax-3<4x+5a for all possible values of the parameter a
Answer:
Step-by-step explanation:
2ax−3<4x+5a
Step 1: Add -5a to both sides.
2ax−3+−5a<5a+4x+−5a
2ax−5a−3<4x
Step 2: Add 3 to both sides.
2ax−5a−3+3<4x+3
2ax−5a<4x+3
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
A. 2
B. 4
C. 7
D. 5
Answer:
Algebra - Question related to graphs?
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times?
Dose that make sense?
1: Yes
Way out.
NY,S1,S2,S3,Ch
Way back
Ch,S4,NY
The Ch is the same therefore total is 7.
2:
a(n)=-6+(n-1)(6)
3: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........
4: A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
i guess it would be 7 as the answer because: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........
Step-by-step explanation: Different Brainly's
1: Answer: 7
Step-by-step explanation: The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.
Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.
Next, when the plane lands in New York the altitude will touch the horizontal axis.
Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.
Lastly the altitude will touch the axis when plane lands back in Chicago.
So, cumulatively the altitude will touch the horizontal axis seven times.
2: I Don't Know
3: Answer:
5 is the right answer
Step-by-step explanation:
The graph will touch the horizontal x each time the altitude is zero.
Tha happens: 1st in Chicago before taking off, 2nd, in the intermediate place before getting to NY, 3rd in NY, 4th in the intermediate place before getting to Ch, and 5th when arrives to Ch.
4: Answer:
7
Step-by-step explanation:
The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.
Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.
Next, when the plane lands in New York the altitude will touch the horizontal axis.
Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.
Lastly the altitude will touch the axis when plane lands back in Chicago.
So, cumulatively the altitude will touch the horizontal axis seven times.
help me who know deku
Answer :
[tex]\frac{79}{10}[/tex]
Answer:
The answer is 79 over 10!
Also, Broccoli boi is cool
a full glass of water can hold 1/6 of a bottle how many of glasses can be filled with 3 1/2 of bottles of water
Answer:
21 glasses can be filled
Find the length of arc PS. Use 3.14 for pi Round to the nearest tenth. 6.48 in 739 1500 650 R
Answer:
8.3
Step-by-step explanation:
To find a length, we want to find how many radians our arc length is. Let's convert our 73-degree angle into radians, which will give us our radian length.
(73)≈1.2741
Now, we know our arc length is equal to about 1.2741 radians. Let's multiply this by our radius.
1.2741(6.48)≈8.3
Therefore, our arc length is about 8.3 inches.
I hope this helps!
( not my answer, i saw this question posted somewhere else and it was already answered :)
The length of arc PS is 8.3 inches.
The calculation is as follows;Here we have to convert our 73-degree angle into radians, which will give us our radian inch length.
i.e.
(73)≈1.2741
Now, we know our arc length is equivalent to about 1.2741 radians.
Let's multiply this by our radius.
1.2741(6.48)
≈8.3
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cot^2x-csc^2x=
please include the steps thank you !!
will give branliest
Answer:
Step-by-step explanation: One of the fundamental identities is #1+cot^2(x) = csc^2(x)#.
Starting with your given:
#cot^2(x)-csc^2(x)#
Replace #csc^2(x)# with #1+cot^2(x)#:
#cot^2(x)-(1+cot^2(x))#
#=cot^2(x)-1-cot^2(x))#
#=-1#
Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Using complete sentences, explain the connection between the cutout and the volume of the box.
Answer: V = (12in - 2*x)*(8 in - 2*x)*x
Step-by-step explanation:
So we have a rectangular cardboard sheet, and we cut four squares of side length x in each corner so we can make a box.
Remember that for a box of length L, width W and height H, the volume is:
V = L*W*H
In this case, the length initially is 12 inches, but we remove (from each end) x inches of the length, then the length of the box will be:
L = 12 in - 2*x
For the width we have a similar case:
W = 8in - 2*x
And te height of the box will be equal to x, then:
H = x
This means that the volume is:
V = (12in - 2*x)*(8 in - 2*x)*x
Here we can see the connection between the cutout and the volume of the box
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
and passes through the point (7, 10)?
Answer:
Step-by-step explanation:
12=3x-2y
2y+12=3x
2y=3x-12
y=(3x-12)/2
y=mx+b
To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be
y=1.5x+b, using point (7,10) we can solve for the y intercept or b
10=1.5(7)+b
10=10.5+b
b=-0.5 so our line is
y=1.5x-0.5
15 for this one please
Answer:
4
Step-by-step explanation:
To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
y = -0 + 4
y = 4
A line passes through the point (0,-5). The gradient of this line is 3.
Write down the equation of this line
Answer:
The equation of the line is;
y = 3x -5
Step-by-step explanation:
Here, we want to write down the equation of the line
We can use the point-slope form
y-y1 = m(x-x1)
(x1,y1) represents the given point (0,-5)
m represents the slope = 3
Substituting these values
y-(-5) = 3(x-0)
y + 5 = 3x
y = 3x - 5