Answer:
r={21}
Step by Step Explanation:
PREMISES
Two times three plus a number, say, r=27
ASSUMPTIONS
Let r=the number
CALCULATIONS
The numerical expression “two times three plus a number r=27” can be denoted as:
(2×3)+r=27
6+r=27
6–6+r=27–6
0+r=27–6
r=21
PROOF
If r=21, then the equations
(2×3)+r=27
6+21=27 and
27=27 prove the root (zero) r=21 of the statement (2×3)+r=27
PREMISES
Two times three plus a number, say, r=27
ASSUMPTIONS
Let r=the number
CALCULATIONS
The numerical expression “two times three plus a number r=27” can be denoted as:
(2×3)+r=27
6+r=27
6–6+r=27–6
0+r=27–6
r=21
PROOF
If r=21, then the equations
(2×3)+r=27
6+21=27 and
27=27 prove the root (zero) r=21 of the statement (2×3)+r=27
Answer:
5 and 6
Step-by-step explanation:
let the 2 numbers be x and y , then
3x + 2y = 28 → (1)
2x + 3y = 27 → (2)
multiplying (1) by 2 and (2) by - 3 and adding will eliminate x
6x + 4y = 56 → (3)
- 6x - 9y = - 81 → (4)
add (3) and (4) term by term to eliminate x
0 - 5y = - 25
- 5y = - 25 ( divide both sides by - 5 )
y = 5
substitute y = 5 into either of the 2 equations and solve for x
substituting into (1)
3x + 2(5) = 28
3x + 10 = 28 ( subtract 10 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
The 2 numbers are 6 and 5
What is the length of this key to the nearest quarter inch?
3 inches
314 inches
312 inches
334 inches
Key laying horizontally with vertical markers indicating the left and right ends of the key.
the length of the key will be 3 inched long because it is laying horizontally
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
Answer: No
Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to negative three you will end up with -15. And 15 is not equal to negative 15.
I hope this helps!
Question Find the range of the data. 95,63,52,8,93,16,42,37,62 The range is
Answer: 87
Step-by-step explanation:
The range is the largest data value minus the smallest data value.
95 - 8 = 87
A mute for a brass instrument is formed by taking a solid cone with a radius of 10 centimeters and an altitude of 20 centimeters and cutting off the top. The cut is made along a plane that is perpendicular to the altitude of the cone and intersects the altitude 6 centimeters from the vertex. Round your answers to the nearest hundredth.
What is the surface area of the original cone?
What is the surface area of the cone that is removed?
What is the surface area of the mute?
By using the formula for the area of a cone, we will get:
i) 942 cm^2ii) 84.78cm^2iii) 885.48cm^2How to get the surface areas?
First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:
A = pi*R^2 + pi*R*H
Then for the original cone where:
R = 10cm
H = 20cm
The area is:
A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2
Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:
R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm
So the area of the removed cone is:
A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2
The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)
A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2
If you want to learn more about areas, you can read
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An equilateral triangle has an altitude of 7cm. Which of the following have a proportional relationship to the altitude? Select all that apply.
A. Perimeter
B. Sides
C. Angles
D. Area
E. Vertices
Answer:
A. Perimeter
B. Sides
D. Area
Step-by-step explanation:
Suppose a triangle ABC has sides each of length a
formula:
The altitude of the triangle h equal to :
[tex]h=\frac{\sqrt{3}}{2} a[/tex]
________
Perimeter:
Let’s P be the perimeter of the triangle ABC then P = 3a
[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]
P/h is a constant then The perimeter has a proportional relationship to the altitude
______
Sides :
[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]
h/a is a constant then The side has a proportional relationship to the altitude
______
Area :
Let A be the area of the triangle
[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]
A/h is a constant then The area has a proportional relationship to the altitude
_____
Angles :
The measure Of each angle of an equilateral triangle is always equal to 60°
60/h is not a constant then there is no proportional relationship
______
Vertices:
The vertices are points and not numbers so there is no proportional relationship.
find the horizontal asymptote(s).
Draw a rectangle which all sides are different lengths
This is impossible. A rectangle has 4 90 degree angles and 2 sets of equal sides.
7 m
7 m
2 m
m
7 m
7 m
How do I find volume??
Answer:
98 m
Step-by-step explanation:
The formula of the volume is ↓
Length × width × height
= 7 × 7× 2
= 98 m
Determine the simple interest earned p=$2000 r=4.6% T=4 years
Answer:
[tex]\boxed{\sf{I=368}}[/tex]Step-by-step explanation:
Use a simple interest formula.
Simple interest formula:
⇒ I=PrtP stands for principal R stands for interest rateT stands for interest time(P): Principal =$2000(R): Interest Rate =4.6%(T): Interest Time =4→ 2000*4.6%4
You have to convert 4.6% into a decimal form.
→ 4.6%=0.046
→ I=2000*0.046*4
Solve.
Multiply the numbers from left to right.
→ 2000*0.046*4=368
Therefore, the correct answer is 368.I hope this helps you! Let me know if my answer is wrong or not.
hello i have a question: when youre doing mean median range and mode, if you get the number 10.33 as the mean for example, do you round it to 10.30 or 10? or keep it as 10.33?? please help ty
Answer:
It depends on the question! You should look at the other values of the data and see what they are rounded to and apply it for the mean too. If not, I normally round it to 3 significant figures.
Select all the true statements about the following parallelogram
Answer:
it is D. and A.
Step-by-step explanation:
um because
Multiple choice easy question. Please answer.
Answer:
I belive it should be # 3 i might be wrong thow.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.
the answer is Car 2
You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?
Answer:
15 points
Step-by-step explanation:
12 divied by .25 =3
so there for it would be 15 points
Answer:
The answer is 15 points. Have a great day:)
bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes
We will see that the distance between the home and the school is 0.5 miles.
How far from home is their school?We know that they meet in school after 10 minutes.
So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).
This will be:
3 miles per hour *10 minutes.
Note that the units are different, so we write 10 minutes in hours.
1 hour = 60 min.
(1/ 60) hour/min = 1.
Then:
10 min = 10 min*(1/ 60) hour/min = 0.167 hours.
Now we can find the distance to their school as:
D = 3 mi/h*0.167 h = 0.5 miles.
If you want to learn more about speed, you can read:
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Answer:
2.5 miles
Step-by-step explanation:
big brain
Can, you help me thanks. <3
Answer:
I think the 1st one is the answer
Step-by-step explanation:
if it helpful to you give me a brainliest
What is the volume of this cone? use 3.14 for π and round your answer to the nearest tenth. in your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answer:
Volume of a cone = 1/3•pi r•r•h
V = 1/3•pi•2•2•8
V = 33.49333333333333
V = 33.5 inches squared
I hope this helps! Have a good day! :)
The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
How to find volume of a right circular cone?Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]
Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The missing image for this problem is attached below.
For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3[/tex]
(rounded to the nearest tenth, which is first place to right of the decimal point.
Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
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HELP ASAP! GIVING BRAINLIEST TO BEST ANSWERS FOR THESE 2 QUESTIONS!
Hope it helps.
Do comment if you have any query.
Let's start off with 1. 3/10 * 5/7
3/10×5/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
(3×5) / (10×7) = 15 / 70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 70 using
GCF(15,70) = 5
(15÷5)/ (70÷5)=3/14
Therefore:
3/10×57=3/14
Now, #2. 7/10 * 2/4- We do the same process.
7/10×2/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
(7×2) / (10×4)=1440
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 40 using
GCF(14,40) = 2
(14÷2) / (40÷2) = 7/20
Therefore:
7/10×2/4=7/20
Hope this helps!
Use a net to find the surface area of the cylinder. Use 3.14 for pie
Answer:
62.83
nearest tenth 62.8
How do i Write (3x^3)^2 WITHOUT exponents
Answer:
(3x³)² = 9x⁶ = 3 × 3 × x × x × x × x × x × x
Thus, The answer is
3 × 3 × x × x × x × x × x × x
Answer:
3 * 3 * y * y * y * y * y * y
Step-by-step explanation:
(3y³)²
Multiply 3 by 3 and y six times
3 * 3 = 9
y * y * y * y * y * y
The answer should be
3 * 3 * y * y * y * y * y * y
I hope this helps!
Is 5 + 3(1 - x) equivalent to 8 - 8x?
Answer:
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
Step-by-step explanation:
To see if they are equivalent to each other, we first need to simplify the first expression:
5 + 3(1 - x)
Distribute the 3 into the parenthesis:
5 + 3 -3x
Combine like terms:
8 - 3x
No, 5 + 3(1 - x) is NOT equivalent to 8 - 8x.
The graph of a logarithmic function is shown below.
On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.
What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers
Answer:
x > -2.
Step-by-step explanation:
Starts at x = -2 then carries on without bounds.
Answer:
x > –2
Step-by-step explanation:
The answer above is correct.
Find x.
Round to the nearest tenth:
31°
у
X
400 ft
x = [ ? ]ft
Answer:
x = 466.7 fty = 240.3 ftFirst find the inner angle:
90° - 31°59°using sine rule:
[tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
[tex]\hookrightarrow \sf sin(59)= \dfrac{400}{x}[/tex]
[tex]\hookrightarrow \sf x = \dfrac{400}{sin(59)}[/tex]
[tex]\hookrightarrow \sf x = 466.6533[/tex]
[tex]\hookrightarrow \sf x = 466.7[/tex] ( rounded to nearest tenth )
====================================
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(59)= \dfrac{400}{y}[/tex]
[tex]\hookrightarrow \sf y= \dfrac{400}{ tan(59)}[/tex]
[tex]\hookrightarrow \sf y= 240.344[/tex]
[tex]\hookrightarrow \sf y= 240.3[/tex]
Answer:
y = 466.7 ft (nearest tenth)
Step-by-step explanation:
Using the Alternate Interior Angle Theorem
the angle inside the triangle that is opposite the side [tex]y[/tex] is 31°
Using the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°A = 400 ftH = [tex]x[/tex]Substitute given values and solve for x:
[tex]\sf \implies cos(31)=\dfrac{400}{x}[/tex]
[tex]\sf \implies x=\dfrac{400}{cos(31)}[/tex]
[tex]\sf \implies x=466.7\:ft\:(nearest\:tenth)[/tex]
2) A square piece of land was divided by a 850-meter diagonal fence. One side of the land measures 700 m. how many meters of fence does the owner need to complete the fencing of half of the land? formod hy nutting i smuares fonether 1 souare is at the center. What is the
The length of fence materials needed to cover a land of sides 700m ,700m and 850m is 2250 meters
Perimeter of Flat ShapesGiven Data
Diagonal = 850 meterSide of fence = 700 meterShape of land = SquareSince the shape of the land is that of a square
All the sides will be 700 meter
Dividing the land into two pieces, the side will be
700, 700, 850
hence the length of fence needed to cover the land is
Perimeter = 700+700+850
Perimeter = 2250 meters
Learn more about perimeter here:
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Nothing is going in..i don’t understand
Answer:
Step-by-step explanation:
Move all terms to the left side and set them equal to zero. Then set each factor equal to zero.
x
=
2
,
−
4
You can expand these and find the answer :
[tex]4^{6} : 4^{2} = 4.4.4.4.4.4 :4 : 4 = 4.4.4.4.(4:4).(4:4) = 4.4.4.4.1.1 = 4.4.4.4 = 4^{4}[/tex]
Basically, to simplify this, the only thing you have to do is minus the powers if divided, and add the powers of multiplied.
Find the value of X to the nearest tenth.
Step-by-step explanation:
REFER TO THE ATTACHMENT
HEY IN WHICH CLASS YOU ARE ROSA
Answer:
my answer is 7.5
Step-by-step explanation:
let me know if I'm incorrect
What is 9n=1(98-2n) equal to? Id really appreciate if you could answer both though
Helena is an engineer that designs packaging for new products. She designed a box in the shape of a rectangular prism with dimensions of 10 inches by 7 inches by 4 inches. What is the surface area of the box? 138 square inches 276 square inches 280 square inches 441 square inches
Answer
276 square inches.
Step-by-step explanation:
Area of rectangular prism = 2(lb + bh + lh)
2(10*7 + 7*4 + 10*4)
2( 70 + 28 + 40)
2 * 138
276 square inches
please give me Brainliest
Answer:
answer is b
Step-by-step explanation:
what is the degree of the expression 5x²+y+10
Answer:
2
Step-by-step explanation:
probability pls hurry(13)
Answer:
A (3/16)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The spinner is evenly divided and numbered from 1 through 8.
[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]
There are 4 even numbers (2, 4, 6 and 8)
[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]
There are 3 numbers less than 4 (1, 2 and 3)
[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]
Therefore, the probability of landing of an even number and then on a number of less than 4 is:
[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]
help its for calculus
Answer:
maybe its e(1/y)
Answer:
it should be e(1/y)