Answer:
The numbers are 7 and 42
Step-by-step explanation:
Let x and y be the numbers
x = 6y
x-y = 35
Substitute the first equation into the second equation
6y -y = 35
Combine like terms
5y = 35
Divide by 5
5y/5 = 35/5
y = 7
Now find x
x = 6*y
x = 6*7
x = 42
Answer:
The two numbers are 42 and 7.
Step-by-step explanation:
6x-x=35
5x=35
x=7
6(7)=42
7=7
1
Lola created circular place mats out of fabric. If the diameter of each place mat measures 15.2
area of each place mat?
A.
181.46 square inches
B.
725.83 square inches
C.
95.5 square inches
D.
47.75 square inches
Reset
Submit
Answer: 181.46 square inches
Step-by-step explanation:
Area = pi ˣ r squared
Since the radius (half of diameter) is 7.6 inches, then it should equal to 181.46 square inches.
Haley and her 4 friends decide to go out to dinner at Applebee's. The bill for their table came to $65.30. If they want to split
the bill evenly between them, how much will each person pay?
Answer:
$13.06
Step-by-step explanation:
There are five people so 65.30/5 = 13.06
Help please I need the answer
____________________________________
Hey!!
Solution,
Diameter (d)=17 cm
Radius(r)=17/2=8.5 cm
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*3.14*8.5
=53.38 cm
The right answer is 53.4cm
Hope it helps
Good luck on your assignment
_________________________________
which of the following rational functions is graphed below?
Answer:
B.
Step-by-step explanation:
According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)
so our function should be :
[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Area of the shaded regions is equal to 7π/3
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: radius of the smaller circle= 3 and larger circle =4 cm
Now A = (θ/360°) × πr2
θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.
Thus we have Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3
=16π/3 -3π
=7π/3
Hence, Area of the shaded regions is equal to 7π/3
Learn more about circle here:
https://brainly.com/question/14200825
#SPJ2
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer:
The modal is 6 and the median is 6
Step-by-step explanation:
simplify x2-9/x2+x-12
(x + 3) (x² - 2x - 6)
______________
x
Answer: (x^4 + x^3 - 12x^2 - 9 ) / x^2
Step-by-step explanation:
x^2 - 9/x^2 +x - 12
(x^2 - 9 + x^3 - 12x^2)/x^2
Simplify (or FOIL) the following binomial expression (x−2)(x−2)
Answer:
x^2-4x+4
Step-by-step explanation:
x^2-2x-2x+4
=x^2-4x+4
Factor: b2-3b-4
Multiplying Quadratics—Box Method
Hey there! :)
Answer:
(b - 4)(b + 1)
Step-by-step explanation:
b² - 3b - 4
Factor by determining which numbers add up to -3 and multiply to equal -4.
-4 + 1 = -3
-4 × 1 = -4
Therefore, in factored form, the equation would be:
(b -4)(b + 1)
Please help. 10 points and brainliest.
Answer:
D
Step-by-step explanation:
sqrt(20*x^6*y^5)
sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)
2x^3*y^2*sqrt(5y)
this is D
Can someone help me on this?
Answer:
the triangle PQR is similar to RTS
Step-by-step explanation:
QR : RT
2 : 6
this 1:3 ratio is also seen in PR (4) with RS (12)
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?
The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
The opposite of the original statement. These statements are also called the inverse of a conditional statement.
Answer:
Negation is the correct answer to the given question
Step-by-step explanation:
The main objective of Negation is to evaluated the inverse of a specified computational statement or the conditional statement. If the conditional statement is true then the negating statement is false or if the conditional statement is false then the negating statement is True .The negation is represented by the symbol ~ .
For example :
F: Number is 5.
~F: Number is not 5.
Conditional statement Negation(~)
True False
False True
All the other option are not determine the inverse of the conditional statement so these are incorrect option .
Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?
Please help me, thank you very much!! <3
Answer:
5 dimes 2 nickels 10 quarters
Step-by-step explanation:
Let n = number of nickels
d = number of dimes
q = number of quarters
n = d - 3 (The number of nickles was 3 less than the number of dimes)
d= q - 5 (The number of dimes was 5 more than the number of quarters)
0.05n + 0.1d + 0.25q = 3.1
Use substitution:
n=q-8
0.05n + 0.1d + 0.25q = 3.1
0.05(q-8) + 0.1(q-5) + 0.25q = 3.1
0.05q-.4 + 0.1q -.5 +0.25q = 3.1
0.4q-0.9=3.1
0.4q=4
q = 10
n =q-8 n = 10-8 n=2
d=q - 5 d = 10-5 d = 5
NEED HELP. as soon as possible
equation of a line pass through origin in called
The equation of a straight line with gradient m passing through the origin is:
[tex]\displaystyle y=mx[/tex]
The line passes through the origin, so the y-intercept is [tex]0[/tex]
[tex]\displaystyle y=mx+b[/tex]
[tex]\displaystyle y=mx+0[/tex]
[tex]\displaystyle y=mx[/tex]
Find the value of x in the triangle shown below.
Answer: 50
Step-by-step explanation:
180-80 = 100
100 divided by 2 = 50
X=50
£60 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Richard get?
Answer: £18
Step-by-step explanation:
let Bridget get £x,
Stephen gets 3x, Richard gets 2(3x)
Equation is x + 3x + 6x = 60
10x = 60: x = 60/40 = 6
Bridget gets £6
Stephen gets 3x = 3 x 6 = £18
Richard gets 2(3x) = 2 x 18 = £36
Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = XY?
Answer:
well considering it is length it could be anything i think
if XZ= 45
then XY could also be 45
and then YZ would be 17
The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger
pyramid?
9/16
3/4
4/3
16/9
Answer:9/16
Step-by-step explanation:
Since we know it's 3/4 use
r=(3/4)² .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]
Wyatt uses 3.15 cups of flour in a
recipe that makes 9 shortcakes. Cora
uses 2.4 cups of flour in a recipe that
makes 8 shortcakes. How much more
flower per shortcake is needed for
Cora’s recipe?
Answer:
Step-by-step explanation:
Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.
To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!
Answer:
1/20 cups
Step-by-step explanation:
Wyatt
3.15/9=315/900=7/20Cora:
2.4/8=24/80=3/10The difference:
7/20-3/10=7/20-6/20=1/20 cupsExplain how to angles can be supplementary angles?
Answer:
if the sum of all the angles equal 180
Step-by-step explanation:
y= 3x+7
y = -2x - 3
Whats the x and y for the solution
Answer:
x=-2, y=1
Step-by-step explanation:
y=3x+7
y=-2x+3
Set the two equations equal to each other:
3x+7=-2x-3
Add 2x to both sides:
5x+7=-3
Subtract 7 from both sides:
5x=-10
Divide both sides by 5:
x=-2
Plug back into one of the original equations to find y:
y=3(-2)+7=-15+7=1
Hope this helps!
Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
Answer:
its D
Step-by-step explanation:
Just did the test. Goodluck
Answer:
d
Step-by-step explanation:
According to the general equation for conditional probability, if P(AuB)=3/7
and P(B) =7/8
what is P(AB)?
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
Answer:
24/49
Step-by-step explanation:
I took the quizz
12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?
Find the perimeter of the following shape:
A. 10.8
B. 11
C. 11.4
D. 11.6
Answer:
A: 10.8
Step-by-step explanation:
AD = BC
AB = DC
2AD + 2AB
AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622
AD ≈ 3.1622
AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236
AB ≈ 2.236
2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8
Simplify the following expression.
4 - (x - 3)
Answer:
4 - (x - 3) = - x + 7
Step-by-step explanation:
I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the distance between 3/4 and 2
A. 3/4 - 2
B. 2-(-3/4)
C. None Of the above
this is on khan academy and I really need help
A: 3/4 - 2.
Hope this helped!
Answer:
its A
Step-by-step explanation:
please answer this questions
Answer:
Step-by-step explanation: since ab||ef, line cd is a transversal
x+35°=85° (alternate interior angles)
x=85-35
x= 50°
taking bd as a transversal
y= 35° (alternate interior angles)
taking bz as a transversal
y+z+40°= 180° (interior angles on the same side of the transversal)
z+35°+40°= 180°
z+75°= 180°
z= 180-75
z= 105°
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
Answer:
x = 50 degree found by working out c and d
y = 35 degree
z = 105 degree
Step-by-step explanation:
c is solved 180-85 = 95 as all straight lines equal (180)
d is solved 85-35 = 50 as it is alternate of c (85)
x is found 85 - 35 = 50 degree as it is part of d and not supplementary
y is found 180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.
z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle