Answer:
x= 30, y= 90
Step-by-step explanation:
Let the smaller number be x and the greater number be y.
Given that the sum of the 2 numbers is 120,
x +y= 120 -----(1)
The greater number is 3 times the smaller number:
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 120
Simplify:
4x= 120
x= 120 ÷4 (÷4 on both sides)
x= 30
Substitute x= 30 into (2):
y= 3(30)
y= 90
Answer:
Solution :-Let the first number be x
Then the second number will be 3 × x = 3x
According to the question
3x + x = 120
4x = 120
Taking 4 to RHS
x = 120/4
x = 30
Number are
x = 30
3x = 3(30) = 90
[tex] \\ [/tex]
Simplify (2x + 5y)(3x – 7y) - 2xy
Helpppp
Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 yards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?
Complete Question
Lisa needs 18 yards of red, gold, and green fabric to make a quilt.
She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?
Answer:
6 11/12 yards
Step-by-step explanation:
The total yards of fabric = Red + Blue + Green
18 = 6 3/4 + 4 1/3 + Green
Green = 18 - (6 3/4 + 4 1/3) yards
Lowest Common Denominator = 12
18 - (10 + ( 3/4 + 1/3) yards
18 - (10 + ( 9 + 4/12) yards
18 - ( 10 + 13/12) yards
18 - ( 10 + 1 1/12) yards
18 - 11 1/12 yards
= 6 11/12 yards
Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards
What is the area of the rectangle with the given dimensions? *
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9
Given:
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].
To find:
The expression that represents the area of the rectangle in simplest terms.
Solution:
Area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:
[tex]Area=(2x-5)\times (3x+3)[/tex]
[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]
[tex]Area=6x^2+6x-15x-15[/tex]
[tex]Area=6x^2-9x-15[/tex]
Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].
Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.
Answer:
[tex]c = 11[/tex]
Step-by-step explanation:
Given
Let the three sides be a, b and c
Such that:
[tex]a = b= 5[/tex]
Required
Find c such that a, b and c do not form a triangle
To do this, we make use of the following triangle inequality theorem
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
To get a valid triangle, the above inequalities must be true.
To get an invalid triangle, at least one must not be true.
Substitute: [tex]a = b= 5[/tex]
[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
[tex]5 + c > 5[/tex] [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]
The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]
Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]
[tex]0 < c < 10[/tex]
This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)
Any value outside this range, cannot form a triangle
So, we can say:
[tex]c = 11[/tex], since no options are given
What is the quotient of 5 1/2 ÷ 3/8?
Answer:
14 2/3
Step-by-step explanation:
It's easiest to convert 5 1/2 to the improper fraction 11/2.
Then the problem calls for dividing 11/2 by 3/8, which, in turn, is equivalent to
the product of 11/2 and 8/3:
11 8
---- * ----- = 88/6 or 44/3 or 14 2/3
2 3
Optionally you could convert to mixed decimal fractions:
5.5
---------- = 14 2/3 (same as before)
0.375
Answer:
..............
Step-by-step explanation:
Same i am not that questin pls help
A square has a perimeter of 32ft. What is the length of each side?
Answer: 2.378.
Step-by-step explanation:
perimeter of square= 4×side
32= 4×side
32/4= side
8= side
hope it helps you friend!!
can u pls help me with this question
Solve for k please help!!!
Step-by-step explanation:
180-77 = 103
103+18 = 121
k = 180-121 = 59
Write an equation of the line. Express the answer using either the general form or the slope-intercept form of the equation of a line.
Answer:
y=x-4
Step-by-step explanation:
The graph intercepts the y-axis at -4 and when you do rise over run you get 4/4 which is just equal to 1 so there would not be a coefficient in front if x
Use the following equation:
(x + 4)² + (y + 6)² = 9
What is the x and y value of the center of the circle?
Answer:
(-4, -6)
Step-by-step explanation:
find f(3) if f(x)=-3x-6
Answer:
-3(3)-6=-15
Step-by-step explanation:
What is the Sector area with radius 6 and an angle of 50°? Use 3.14 for pi.
Answer:
15.7 units²
Step-by-step explanation:
The sector area is 50/360 times the area of the circle (since the central area of a complete circle is 360° and that for the sector is 50°), or
Sector area = (50/360)(3.14)(6 units)² = 15.7 units²
I need help with letter A
Answer:
14
Step-by-step explanation:
the four smaller rectangles of each of the corners: 2*1=2. since there are four of them, 2*4=8
the middle, larger rectangle: (6-2-2)*(1+1+1) = 2*3 =6
add small and big rectangles: 8+6 = 14
Answer:
14
Step-by-step explanation:
6*3-2(2*1)
=18-4=14
Find the value of a in the diagram below:
20
40°
200°
If 4x-8y=5 is a true equation what would be the value of 3(4x-8y)
Answer:
12x-24y
Step-by-step explanation:
Youuuuuuuuuur Welcome
Answer:
15
Step-by-step explanation:
4x-8y=5
4x=8y+5
3(8y+5-8y)
3(5)
15
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
10
Answer:
The angle is 50 degrees.
Step-by-step explanation:
In order to measure the angle, you take the three points: F, H, and G, and it forms the angle which is pointing at 50.
if you make $8 an hour and you get a 10% raise how much are you making now
Answer:
$8.8
Step-by-step explanation:
[tex]8*0.10=0.8[/tex]
[tex]8+0.8=8.8[/tex]
what is the value of a and b
Help me please I don’t know this stuff
An orchestra has 100 musicians 4/10 of them play string instruments-violin , viola, cellodouble bass , guitar, lute, and harp. What decimal is equivalent to 4/10 ?
Britton simplified an expression and got 1 108 for his answer. If he simplified correctly, which expression did Britton simplify?
Answer:
step-by-step explanation:
first you will have to convert 3/4 into a decimal
which is .75
then you will have to divide 1.5 by .75
which is 2
no you have to divideStep-by-step explanation:
Help me with this! Will give brainlist!!
Answer:
answer is C i think
Step-by-step explanation:
Answer:
18.85 B
Step-by-step explanation:
ANSWER ASAP! WILL MARK BRAINLIEST DUE TODAY
Find the value of x.
A) 18
B) 36
C) 45
D) 50
B) 36 !
Step-by-step explanation:
Hope I helped u. :)
If −x+8y=−3 is a true equation, what would be the value of 2(−x+8y)?
Answer: -6
Step-by-step explanation:
If −x+8y=−3 is a true equation, we plug in -3 for -x + 8y, we get 2(-3) = -6.
Any helpers? Need help asap
Answer: positive: up down/ up up negative: down up down down
Step-by-step explanation:
how many times can 82 go into 401
Answer:
4.89 times
Step-by-step explanation:
I hope this helps :)
Answer:
82 can go into 401 four times.
Step-by-step explanation:
82 multiplied by 4 is 328, and if you add another 82, the number would be greater than 401, so the answer is 4 times.
Solve for b
2/3b+5=20-b
b=
Answer:
the answer is b=9 and good luck .
Write with rational exponents. Be sure to show your work and simplify your answer. See the file below.
Answer:
(12ab)^1/2
Step-by-step explanation:
(⁶√12ab)³
= [(12ab)^1/6]³
= (12ab)^(1/6 * 3)
= (12ab)^1/2.
Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 = 5 4 start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=
Answer: [tex]\dfrac{15}{4}[/tex]
Step-by-step explanation:
Given
[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]
Apply cross-multiplication
[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]
The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]
Answer:
15/4
Step-by-step explanation:
Kris claims that the two figures must be congruent.
Two triangles have angles 100 degrees, 50 degrees, and 30 degrees.
Which statement best describes his claim?
He is correct because both figures are triangles.
He is correct because the measures of the angles are the same in both figures.
He is incorrect because the triangles are not oriented the same way.
He is incorrect because the lengths of the corresponding sides of the figures are unknown.
Answer: it’s D) the last one