sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
What is the circumference of circle P in terms of pi (3.14)
A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm
a boy is 20 years old at present. How old was he 3 years ago?
Answer: seven-teen
Step-by-step explanation:twenty minus three
The age of the boy three years ago is A = 17 years
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The present age of the boy = 20 years
Three years ago, the boy's age would have been:
20 - 3 = 17
Hence , the boy was 17 years old three years ago.
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In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?
30
60
90
45
Answer:
30 Step-by-step explanation:
Answer:
Its 60
Step-by-step explanation:
I took the test
Benjamin has 10 marbles in a bag. 4 are red, 2 are blue, 3 are green, and 1 is yellow.
Part A: What is the probability of drawing a color other than blue?
Part B: You draw two marbles with replacement. What is the probability of drawing a red, then a blue?
Part C: What is the probability that you draw a yellow and then draw a red without replacement?
Answer:
A) 4/5
B) 2/25
C) 2/45
Step-by-step explanation:
A) P(not blue) = 8/10 or 4/5
B) P(red,blue) = 4/10 x 2/10 = 2/25
C) P(yellow,red) = 1/10 x 4/9 = 2/45
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
What is the measure of angle AXG
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answer:
28
[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]
[tex]2 * x = 8\\x = 4[/tex]
[tex]7 * 4 = x\\x = 28[/tex]
PLZZ GIVE BRAINLIEST
The figure shown is created by joining two rectangles.
(picture will be shown)
enter the area, in the square inches, of the figure
Answer:
1375 square inches
Step-by-step explanation:
Area= Length × Width
15in×75in=1125in
25in×10in=250in
250in + 1125in= 1375square inches
Can y’all please help me?!
Answer:
10.5, 31.5, and 6.
Step-by-step explanation:
So to find the answers here, we must find the value of t, when h equals 1.
To do this, lets take a h-t value we already know, and solve.
We can use: when h=2 t equasl 21:
2h=21t
So if we divide both sides by two we get:
2h/2=21t/2
=
h=10.5t
So know we know for every one h, t is 10.5
This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t
So now that we have a value for t, lets get our solutions.
First off, we have 1h=__t?
Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t
Next up, we have 3h=___t
All we have to do it multiply 10.5 by 3 to solve this:
10.5*3
=
31.5
So this is our second fill in answer.
Finally we have ___h=63t
We must divide both sides by 10.5, which is equal to 1t, to find this answer:
63/10.5
=
6
So our last fill in answer is 6.
Hope this helps!
It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird houses she can
make.
21 +3
Which other problem could Marina use to find the number of bird houses she can make
She can find out answer by dividing 21÷3 and the answer is 7
She can make 7 bird house
7 is the answer of the question
21÷ 3
=7
Step-by-step explanation:
hope it is helpful to you
PLEASE HELP I WILL GIVE BRAINLIEST!!!
i will give Brainiest if you are right
Answer:
G
Step-by-step explanation:
G. Plug in x=5 to x-2<7
which becomes
5-2<7
3<7
which is correct.
Hope This Helps!
Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?
9514 1404 393
Answer:
(3, 2)
Step-by-step explanation:
Reflection across y=x swaps the coordinates:
(x, y) ⇒ (y, x)
Dilation by a factor of 1/2 multiplies each coordinate by 1/2.
(x, y) ⇒ (x/2, y/2)
The combination of these transformations gives you ...
(x, y) ⇒ (y/2, x/2)
(4, 6) ⇒ (3, 2)
thor peeled 14 oranges every 21 hours. at this rate, how many would he peel in 9 hours?
Answer:
13.5
Step-by-step explanation:
14 oranges in 21 hour translates to:
3/2 oranges per hour.
So, in 9 hours thor can peel 13.5 oranges.
Factorise: x^2/y^2+1+y^2/X^2
Answer:
[tex]( \frac{x}{y} + \frac{y}{x} + 1)( \frac{x}{y} + \frac{y}{x} - 1)[/tex]Step-by-step explanation:
Hope it is helpful.....
what is the sum of the first 10 terms of the geometric sequence 1 , -2, 4, -8, 16, 32...
Answer:
S10= -341
Step-by-step explanation:
1,-2,4,-8,16,.......
Sum of first 10 terms of geometric sequence
Sn=a(r^n-1)/r-1
where, a= first term
n= number of terms
r=common ratio
common ratio (r)= second term/first term
r=-2/1
r=-2
a=first term
a=1
n= number of terms
n=10
S10=1[(-2)^10-1]/-2-1
S10=(1024-1)/-3
S10=1023/-3
S10= -341
therefore, the sum of the first 10 terms is -342
What is the missing number in the synthetic division problem below?
A. 9
B. 8
C. -7
D. 2
I GIVE YOU 50 points for this question!
3000 dollars is invested at 5% pa (per year). Simple interest for 4 years. Find the total
Amount of interest
and
value of the investment
Answer:
easy what's 5% of 3000 that's just for one year then multiple it by 4
The figure shows a vertical section through the
axis of a solid paper weight made in the shape of a right circular cone. Its height is 8 cm and the diameter of its base is 4 cm. The shaded portion is made of lead 2 cm thick while the unshaded portion is made of wood. The density of lead and wood are 11.3 g/cm and 0.9 g/cm respectively.
Find,
(i) the total volume of the paper weight,
(ii) the volume of the wooden portion,
(iii) the total mass of the paper weight.
Answer:
i. 33.51 cm³
ii. 14.14 cm³
iii. 231.61 g
Step-by-step explanation:
(i) the total volume of the paper weight,
Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm
So, V = πD²h/12
V = π(4 cm)² × 8 cm/12
V = 16π cm² × 8 cm/12
V = 128π cm³/12
V = 402.124 cm³/12
V = 33.51 cm³
(ii) the volume of the wooden portion,
The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion
From similar triangles in the figure, we have
height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r
h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm
and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm
So,
r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm
So, V' = πr'²h'/3
V' = π(1.5 cm)² × 6 cm/3
V' = π2.25 cm² × 2 cm
V' = 4.5π cm³
V' = 14.14 cm³
(iii) the total mass of the paper weight.
The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³
So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³
m = 12.726 g + 218.881 g
m = 231.607
m ≅ 231.61 g
A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?
Answer:
249.60
Step-by-step explanation:
300 x .8 (100%-20%)=240
240 x .04 (4% sales tax)=9.60
price = 240+9.60=249.60
question 1. The sticker price of a picture frame is $10 and the sales tax is 10%. What is the total price of the picture frame?
question 2. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. What is the total price of the soccer ball?
question 3. The sticker price of a soccer ball is $39.99 and the sales tax is 8%. If I bought 3 soccer balls, what is the total price paid including tax?
!NO EXPLANATION NEEDED! just need all of these answered!
Answer:
1: $11
2: $43.19
3: $128.57
Step-by-step explanation:
10 • 1.10 = 11
39.99 • 1.08 = 43.19
43.19 • 3 = 128.57
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
using 3.14 for pi the volume is 502.4
Step-by-step explanation:
Which shows all the factors pairs of 45? O A. 4,5 B. 5,9 O C. 1,45 5,9 D. 1,45 3, 15 5,9 O E. 1,45 3, 15 4,5 5,9
Answer:
D
Step-by-step explanation:
The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16
Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas
answer : attached below is the pareto chart.
Step-by-step explanation:
Rearranged table starting from highest frequency
The type of Nonconformity Frequency Percentage
Heel separation 92 40.89
sole penetration 60 26.67
Sole separation 36 16
Other 16 7.11
Lace breakage 13 5.8
Eyelet failure 8 3.5
Total = 36 + 13 + 92 + 8 + 60 + 16 = 225
Next step : determine the percentages of the various Nonconformity
sole separation = 36 / 225 ) * 100 = 16%
lace breakage = ( 13/225 ) * 100 = 5.8% = 6%
Heel separation = ( 92/225 ) * 100 = 40.89% = 41%
Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%
sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%
other = ( 16 / 225 ) * 100 = 7.11% = 7%
Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18
I need help!!! Please
Answer:
A
Step-by-step explanation:
8x + 7 = 6x + 15
what is x
Answer:
x = 4
Step-by-step explanation:
i am smart
Answer:
X=4
Step-by-step explanation:
Simplifying
8x + 7 = 6x + 15
Reorder the terms:
7 + 8x = 6x + 15
Reorder the terms:
7 + 8x = 15 + 6x
Solving
7 + 8x = 15 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
7 + 8x + -6x = 15 + 6x + -6x
Combine like terms: 8x + -6x = 2x
7 + 2x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
7 + 2x = 15 + 0
7 + 2x = 15
Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7
Combine like terms: 15 + -7 = 8
2x = 8
Divide each side by '2'.
x = 4
Simplifying. Hope this helps :D
x = 4. Plz brainly and like
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
a bar graph
a circle graph
a histogram
a line graph
Answer:
Question?
Step-by-step explanation:
?
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Cos again.
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