Answer:
3, 4, 5, 6
Step-by-step explanation:
Given the inequality
2 < x ≤ 6
This says that 2 is less than x , so x ≠ 2 ( left part )
x is less than or equal to 6 means x can equal 6 ( right part )
Integer values that satisfy the inequality are
x = 3, 4, 5, 6
Find the value of x in the isosceles triangle shown below
Thank you!
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
B, The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
1. Rearrange the first equation to isolate either x or y.
x = -y + 24
2. Plug this new equation into the second equation to find the value of y.
3(-y + 24) + 5y = 100
-3y + 72 + 5y = 100
2y + 72 = 100
2y = 28
y = 14
3. Plug the value of y back into the other equation to find the value of x.
x = -14 + 24
x = 10
There are fourteen 5-point questions and ten 3-point questions.
Answer:
b) The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
edgen2020
Can u help with this question please
Answer:
a > -21 1/3
Step-by-step explanation:
3/4a > -16
Multiply each side by 4/3
4/3 * 3/4a > -16 * 4/3
a > -64/3
a > -21 1/3
What is 12 1/4`÷7/8
Answer:
14
Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide
12 and 1 over 412
1
4
÷ 7 over 8
7
8
= 392 over 28
392
28
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
12 and 1 over 412
1
4
= ( 12 × 4 ) over 4
12 × 4
4
+ 1 over 4
1
4
= ( 48 + 1 ) over 4
48 + 1
4
= 49 over 4
49
4
Step 1 of 2: Divide, sub-step b: Divide.
Divide
49 over 4
49
4
÷ 7 over 8
7
8
= 49 over 4
49
4
× 8 over 7
8
7
= ( 49 × 8 ) over ( 4 × 7 )
49 × 8
4 × 7
= 392 over 28
392
28
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
In a condominium complex, 2/3 of the women are married to 3/4 of the women. What part of the entire population is married? Please show work
Answer:
(QUESTION CORRECTNESS : 2/3 OF MEN ARE MARRIED TO 3/4 OF WOMEN)
Part of Entire Population married = 12/17 = 70.58%
Step-by-step explanation:
Fraction of men married:
[tex]\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{8}{12}..........[/tex]
Fraction of women married:
[tex]\frac{3}{4}=\frac{6}{8}=\frac{9}{12}=\frac{12}{16} .........[/tex]
To solve the problem, we know that number of husbands should be equal to number of wives.
Number of husbands and wives are represented by the numerators of both fractions.
We have to find such a multiple of each fraction such that there numerator are same.
Let fraction of men married: [tex]\frac{6}{9}[/tex]
Let fraction of women married: [tex]\frac{6}{8}[/tex]
Add the numerators and denominator to find the solution:
[tex]\frac{6+6}{9+8}= \frac{12}{17}[/tex]
А
is a number written with a variable to indicate the product of the number and the variable in a term.
Answer:
Coefficient
Step-by-step explanation:
The blank word is coefficient.
Coefficient is a number written with a variable to indicate the product of the number and the variable in a term.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Let the expression,
y = mx.
Here, x and y are the variables.
And m is the constant.
So, m is multiplied to the variable x.
That means, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.
Therefore, coefficient is a number written with a variable to indicate the product of the number and the variable in a term.
To learn more about the expression;
brainly.com/question/24242989
#SPJ6
2 shapes A and B, are similar.
length of edges in A : length of edges in B = 2.5
The perimeter of A is 210mm
work out the perimeter of B
Answer:
525 mm
Step-by-step explanation:
The edges of A : B = 2.5, thus
The perimeters of A : B = 2.5
Thus the perimeter of B is 2.5 times the perimeter of A
perimeter of B = 2.5 × 210 mm = 525 mm
The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
Answer:
see below
Step-by-step explanation:
f(x) = x^2 – 2x – 3
To find the roots, set the equation equal to zero
0 = x^2 – 2x – 3
Factor, what two numbers multiply to -3 and add to -2
-3 * 1 = -3
-3 + 1 = -2
0 = (x-3)( x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
Answer:
3
Step-by-step explanation:
cuz i said so lol
9x (-2y + 5x) - 4 xy (6x-3y) please the person who answers will be marked as brainliest. please show working
Answer:
See explanation
Step-by-step explanation:
[tex]9x(-2y+5x)-4xy(6x-3y)[/tex]
By the distributive property this is equal to:
[tex]9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2[/tex]
Hope this helps!
Each 6 students reported the number of movies they saw in the past year 18,14,18,14,19,9
Answer:
Average: Add all and divide by 6
that gives us 92/6 = 15.333... or 15
Median: order it:
9, 14, 14, 18, 18, 19
median is 16
2 averages
Median: 16
Average: 15.33.. or 15
Outlier: 9
Find the distance between (16,12) and (0,0)
Answer:
3/4 using equation y2-y1/x2-x1
Step-by-step explanation:
Use the equation y2-y1/x2-x1
x1, y1 x2, y2
(16,12) (0,0)
0-12/0-16= -12/-16= 3/4
can someone tell me how to do area i forgot
Answer:
the answer is
length * width
or side * side
Step-by-step explanation:
Answer:
Below:
Hope this helps :DDD
Step-by-step explanation:
Area of rectangle / square / parallelogram: Base * height
Area of triangle: [tex]\frac{Base*height}{2}[/tex]
Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]
Area of trapezoid: [tex]\frac{Base1 + Base2}{2}*height[/tex]
Area of circle: [tex]\pi r^2[/tex]
Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]
Solve for x in the diagram below.
200
(3x + 10°
Answer:
x = 20°
Step-by-step explanation:
4x + 10 = 90
4x = 80
x = 20
Answer:
[tex] \boxed{x\degree = 20\degree} [/tex]
Step-by-step explanation:
Two Angles are Complementary when they add up to 90° (a Right Angle).
[tex] = > x\degree + (3x + 10)\degree = 90\degree \\ \\ = > x\degree + 3x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree + 10\degree = 90\degree \\ \\ = > 4x\degree = 90\degree - 10\degree \\ \\ = > 4x\degree = 80\degree \\ \\ = > x\degree = \frac{80}{4} \degree \\ \\ = > x\degree = 20\degree [/tex]
What is the solution to 2x2+8x=x2-16?
Answer:
x = -4
Step-by-step explanation:
1. (2x2 + 8x) - (x2 - 16) = 0
2. Factoring x2+8x+16
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 8 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8
-2 + -8 = -10
-1 + -16 = -17
1 + 16 = 17
2 + 8 = 10
4 + 4 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 4 and 4
x2 + 4x + 4x + 16
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+4)
Add up the last 2 terms, pulling out common factors :
4 • (x+4)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x+4)
Which is the desired factorization
Multiply (x+4) by (x+4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
(x + 4)2 = 0
3.
Solve : (x+4)2 = 0
(x+4) 2 represents, in effect, a product of 2 terms which is equal to zero
For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Answer:
x = -4
Step-by-step explanation:
=> 2x²+8x = x²-16
=> 2x²- x² + 8x + 16 = 0
=> x² + 8x + 16 = 0
Using mid-term break formula
=> x² + 4x + 4x + 16 = 0
=> x(x+4)+4(x+4) = 0
=> (x+4)(x+4) = 0
=> (x+4)² = 0
Taking square root on both sides
=> x+4 = 0
=> x = -4
compared to jenny, sally is 5/6 as tall and may is 4/5 as tall. How many time taller is sally than may
Answer:
25/24
Step-by-step explanation:
Let
Sally=S
May=M
Sally is 5/6 as tall
S = 5/6
May is 4/5 as tall
M = 4/5
S/M = 5/6/4/5
=5/6×5/4
=25/24
When the point (3,k) lies on each of these lines, find the value of k.
a) y=3x+2
b) y=4x-2
c) y=3-2x
d) x+y=7
e) x-2y=1
If you answer you don't have to explain but please do
if a function is one to one then the range becomes the what of the inverse function
One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .
For each pair of congruent triangles, name the corresponding parts then complete the congruence statement
Answer:
First one
Step-by-step explanation:
Evaluate x^0+ y^0 for x = 3 and y = 2.
0
1 5 2
Answer:
2
Step-by-step explanation:
x^0+ y^0
Let x = 3 and y = 2
3^0 + 2^0
Raised to the 0 power is 1
1 + 1
2
Answer:
the answer is 1, this is correct
Step-by-step explanation:
AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
What is the measure of ∠DQM ?
Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
part 2. Find the measure of the indicated angle to the nearest degree
Answer:
i hope this helps you
PLEASE HELP ASAP How many solutions does this system have? (photo below)
Answer: I got b., no solutions
Step-by-step
3x-5y=15
6x-10y-30x
times the top by-10 and the bottom by 10
-30x+50=-150
60x-50=300
crossing out the 50's cause they cancel out. also, subtract the others -30-60 giving -90x. and -150-300= -140
-90x=-450
divide -450 by -90
x=5.
Put 5x in either equation. Either one you do. it cancels out the answer in the equation. then you would subtract and get zero. divide and still get zero.
Sounds really confusing but hope it helps. Please give me a brainliest. Thanks :)
Please answer !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer & Step-by-step explanation:
[tex]\frac{1}{4}(x+5)^2-1=3[/tex]
Add 1 to both sides.
[tex]\frac{1}{4}(x+5)^2=4[/tex]
Multiply both sides by 4.
[tex](x+5)^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{(x+5)^2} =\sqrt{16}[/tex]
[tex]x+5=4[/tex]
Subtract 5 from both sides.
[tex]x=-1[/tex]
Evaluate Solve 7x + 5 < 3x + 25
Answer:
x < 5
Step-by-step explanation:
7x + 5 < 3x + 25
Subtract 3x from each side
7x-3x + 5 < 3x-3x + 25
4x+5 < 25
Subtract 5 from each side
4x +5-5 < 25-5
4x < 20
Divide by 4
4x/4 < 20/4
x < 5
Answer
x<5
Step-by-step explanation:
7x + 5 < 3x + 25
you would subtract 3x from both sides
Leaving you with 4x+5< 25
next you would subtract 5 from both sides
leaving you with 4x<20
Then you would divide both sides by 4
leaving you with x <5
Hoped this helped
:)
what is a listed method in mathematics
Answer:
Listing method is a method to list all the elements separating each element by the comma and enclosing
Step-by-step explanation:
attachment Mathswatchhhh!!!!!!!!!
Answer:
(a) draw the graph using these coordinates :
(0,-1) and (3,1)
(b) x = 3
Which value of x makes 7+5(x-3)=22 a true statement?
Choose 1 answer:
A
x=4
B
x=5
C
x=6
D
x=7
Answer:
C
X=6
Step-by-step explanation:
7+5x-15=22
5x-8=22
5x=22+8
5x=30
X=30/5
X=6
Simplify the expression
12x^-6 y^10 •3x^7y
Draw a quadrilateral ABCD with AB = 8.5cm, BC =4.5cm, CD =5cm , DA = 6cm , BD =7.5cm. Draw an equal area Triangle
Answer:
Check below please
Step-by-step explanation:
A quadrilateral is a polygon with four sides.
Then let's plot it, check it below.
1) Since 5 line segments were given for a quadrilateral, one of them is an interior one. In this quadrilateral, a rhombus. We have a diagonal, id est a line segment between non-consecutive points.
2) Let's calculate the area of this rhombus. Since this polygon is made up of two triangles let's find it using Heron's Formula, not very popular. But equally valid, also we don't have the height nor angles.
All we need is the semi-perimeter, (half of the Perimeter (2P) and plug it in the formula:
[tex]\bigtriangleup ABD semi-perimeter:\frac{6+8.5+7.5}{2} \therefore s=11\\Area \:\bigtriangleup ABD=\sqrt{11(11-6)(11-8.5)(11-7.5)}=\frac{5\sqrt{77}}{2} \approx21.94 cm\\\\\bigtriangleup \:BCD\: semi-perimeter:\frac{4.5+5+7.5}{2} \therefore s=8.5\\\\Area \bigtriangleup BCD=\sqrt{8.5(8.5-4.5)(8.5-5)(8.5-7.5)}=\sqrt{119}\approx 10.90[/tex]
[tex]Area\: of\: Rhombus\: ABCD=21.94+10.90=32.84 cm^2[/tex]
3) Well, now we need to trace a triangle whose area is 32.84 cm^2. From the classical formula for Area of Triangles we can write:
[tex]\frac{b*h}{2}=32.84 \therefore b*h=65.68[/tex]
Let's find out two values one for the base and another for height. Since 65.58 can be divided both by two and three, it is divisible by 6.
So
[tex]65.58 : 6 =10.93\\b=6\\h=10.93[/tex]
PLEASE HELP ME WITH THIS IT'S TIMED I WILL GIVE BRAINLIEST-
1. A right triangle has side lengths 15 centimeters, 20 centimeters, and 25 centimeters. How can you use the Pythagorean Theorem to write an equation the describes how the side lengths are related?
2. How do you know that the geometric proof of the Pythagorean Theorem in question 1 can be applied to all right triangles?
Step-by-step explanation:
1)
In a right triangle longest side is hypotenuse and the remaining two sides represent the perpendicular legs.
Hence, from the given question it is obvious that 25 is hypotenuse and 20 and 15 are perpendicular legs.
Now, by Pythagorean theorem:
[tex] (one\: side) ^2 +(other \: side) ^2 = (hypotenuse) ^2
\\\\\therefore 20^2 +15^2 =25^2[/tex]
2)
Because all right triangles have one hypotenuse and two perpendicular legs.
