Answer:
The discount is 60%
Step-by-step explanation:
We can set up a proportion to solve for the discount percent. On the left I will put costs in dollars and on the right the percentage of the cost, with the regular price on the top.
-> Percents are divided by 100 to become decimals
[Start]
[tex]\frac{98}{58.8}=\frac{1}{x}[/tex]
[Cross-multiply]
98 * x = 1 * 58.8
98x = 58.8
[Divide both sides of the equation by 98]
x = 0.6
[Multiply both sides of the equation by 100 to get a percent]
The discount is 60%
What is an equation of the line that passes through the points ( − 1 , − 2 )and ( − 2 , − 5 ) ?
Answer:
y = 3x + 1
Step-by-step explanation:
You have to use y = m x + c to find the equation of the line.
Here,
m ⇒ slope
c ⇒ y - intercept
First let us find the slope by using the below formula.
For that, let us use the given coordinates.
( -1 , -2 ) ⇒ ( x₁ , y₁ )
(-2 , -5) ⇒ ( x₂ , y₂ )
m = [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]
m = [tex]\frac{-2-(-5)}{-1-(-2)}[/tex]
m = [tex]\frac{-2+5}{-1+2}[/tex]
m = [tex]\frac{3}{1}[/tex]
m = 3
Now we have to find the y - intercept.
For that we can use any coordinate for that.
Let us use ( -1 , -2 ) coordinate.
y = m x + c
-2 = 3 × -1 + c
-2 = -3 + c
- 2 + 3 = c
1 = c
Let us write the equation of the line now.
y = m x + c
y = 3 x + 1
Let me know if you have any other questions. :-)
What is an equivalent expression for 6(x-1)?
Answer:
6x-6
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
- 6 vertical, -3 horizontal
4) Ishmael rounds a whole number to the nearest 100, his answer is 700.
a) What is the highest value his number could have been?
Answer:
It would have to be 650
Step-by-step explanation:
Hope this helped
Use the net to compute the surface area of the three-dimensional figure. A) 130 units2 B) 152 units2 C) 166 units2 D) 182 units2.
The net to compute the surface area of the three-dimensional figure is 166 square units.
What is the surface area of the three-dimension figure?
The surface area is the area calculated for the three-dimensional object. As the three-dimensional object is made up of 2D faces, the surface area is the sum of the areas of all the faces of the figure.
A cuboid is a three-dimensional figure having length, width, and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.
For the given cuboid, length l = 8 , width w = 5 and height h = 5.
The surface area of the figure is given by;
[tex]\rm Area\ of \ Cuboid = 2 lw + 2 lh + 2 wh\\\\Area\ of \ cuboid= 2(7)(5)+2(7)(4)+2(5)(4)\\\\ Area\ of \ cuboid= 70+56+40\\\\Area\ of \ cuboid= 166 \ units^2[/tex]
Hence, the net to compute the surface area of the three-dimensional figure is 166 square units.
To know more about the surface area click the link given below.
https://brainly.com/question/8878439
The length and breadth of a table cloth are 2.5 m and 1.5 m. Find the length of lace
required to edge the table cloth. If the cost of lace is Rs 25 per metre, find the total cost
of the lace.
X-4.6y=-9.8
-X+4.8y=10.4
Answer:
x = 4
y = 3
Step-by-step explanation:
x - 4.6y = -9.8
-x + 4.8y = 10.4
multiply both equations by 5 to remove the decimals in the variables.
we then get this:
5x - 23y = -49
-5x + 24y = 52
multiply one of the equations by -1 to get this
-5x + 23y = 49
-5x + 24y = 52
now subtract the equations
0x -y = -3
y = 3
plug back into equation to get value of x
x - 4.6(3) = -9.8
x - 13.8 = -9.8
x = 4
What is a possible sample for the following situation?
What is the average cost of a 48 inch screen TV in the state of Oregon?
Answer:
A statistical question can be used to illustrate a population or a sample
All the TV screens in the state of Oregon represents the population
How to determine the population
The statistical question is given as:
"What is the average cost of a 48 inch screen TV in the state of Oregon?"
From the above question, we have the following parameters:
All TV screens
48 inch screen TV
All the TV screens in the state of Oregon represents the population of the distribution, while the 48-inch screen TV represents the sample
Read more about population and sample at:
brainly.com/question/7301139
Step-by-step explanation:
PLEZZ HELP ME I WILL GIVE BRAINLYLIST
Answer:since X-W is 5 spaces and X-Y is also 5 spaces, the area would be 25. because area is equal to length x width
Step-by-step explanation:hope this helps brainliest
he equation of the graphed line is 2x – y = –6.
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x – 2
y = 2x + 2
y = x + 2
y = x – 2
Answer:
y=X+2
Step-by-step explanation:
you can use the equation y=Mx+c to give this solution!
Answer:
Step-by-step explanation:
Find the slope using the points
[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{6-2}{4-0}\\\\\\=\dfrac{4}{4}\\\\\\=1[/tex]
m= 1.
y = mx + c
y = 1*x+ c
y = x + c
In this equation substitute x = 0 and y = 2 and find the valu of c
2 = 0 + c
c = 2
Equation of line CD:
y = x + 2
PLEASEEE
In the diagram below, DE is parallel to AB. If AB is twice the length of DC,
AC = 28, and DE = 13, find the length of DC. Figures are not necessarily drawn
to scale. State your answer in simplest radical form, if necessary PLEASEEE
Answer:
13.4
Step-by-step explanation:
AB =2DC
So, DC=AB/2
Now, AB/AC=DE/DC
AB/28=13/(AB/2)
AB²=13×28×2
AB=√728
AB=26.98
now, DC=AB/2
=13.4
The length of DC is √182.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
DE is parallel to AB.
If AB is twice the length of DC, AC = 28, and DE = 13
We have to find the length of DC
DC/AC=DE/AB
x/28=13/2x
Apply cross multiplication
2x²=13×28
2x²=364
Divide both sides by 2
x²=364/2
x²=182
x=√182
Hence, the length of DC is √182.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Find the length of x
Answer: 7.5
Step-by-step explanation:
These triangles are similar by AA, meaning we can set up a proportion.
This proportion is 5/3 = x/4.5
x=(4.5)(5)/3 = 7.5
Help 6th grade math!
write the opposite of -4 1/2 and explain how it's related to -4 1/2. Use a number line as a reference in your explanation.
Answer:
The opposite of -4 1/2 is 4 1/2. Both are 4 1/2 units from zero.
Step-by-step explanation:
The opposite of -4 1/2 is 4 1/2. Both are 4 1/2 units from zero.
See attachment with a number line.
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Answer:
Step-by-step explanation:
7 1/3 t - (10 2/3 t - 6) Remove the brackets
7 1/3 t - 10 2/3 t + 6 Combine the first 2 terms.
- 3 1/3 t + 6 This binomial is the answer.
Use the Distance Formula to find the distance between points 1 and 2 on the coordinate plane, rounded to the nearest tenth unit.
Point 1: (0, 80)
Point 2: (95,5)
Answer:
[tex]\sf d = 121.0[/tex]
given:
Point 1: (0, 80)Point 2: (95,5)distance between two points formula:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
using the formula:
[tex]\sf d = \sqrt{(95 - 0)^2 + (5-80)^2}[/tex]
[tex]\sf d = \sqrt{9025 + 5625}[/tex]
[tex]\sf d = \sqrt{14650}[/tex]
[tex]\sf d = 5\sqrt{586}[/tex]
[tex]\sf d = 121.0[/tex]
Select all expressions shown that are equivalent to
Answer:
A. and C.
if you simplify the expressions, you will see which ones are equal to the expression given
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
s = 120
Step-by-step explanation:
s/5 = 24
s/5 x 5 = 24 x 5
s = 120
Your welcome for the answer, and if you have any questions, comment in this answer!
Please help solve this function
Answer:
Its is the same equation as the original, just change the -2 to -9
Step-by-step explanation:
You are moving it down by 7, so the last value, -2, goes down by 7 as well, coming to -9.
What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 10) (9a3 − 10)(9a3 − 10).
The factor of the provided polynomial with the after the factorization process are similar to option C, which is
[tex](9a^3+10)(9a^3-10)[/tex]
What is factor of polynomial?Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial equation in the problem is,
[tex]81a^6 - 100[/tex]
The above equation has the unknown variable a and the power of this unknown variable is 6. Write down the above equation in the squared form as,
[tex](9)^2(a^3)^2 - 10^2\\(9a^3)^2-10^2[/tex]
By the difference of squared formula, the above polynomial can be written as,
[tex](9a^3+10)(9a^3-10)[/tex]
Hence, the factor of the provided polynomial with the after the factorization process are similar to option C, which is
[tex](9a^3+10)(9a^3-10)[/tex]
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
Factor 4x^2 + 12x + 9. What is the square root of this trinomial, written as a binomial?
Answer:
(2x+3)^2
Step-by-step explanation:
4x^2+12x+9
4x^2+6x+6x+9
factor:
2x(2x+3)+3(2x+3)
(2x+3)(2x+3) or (2x+3)^2
solve the following inequality
giving brainliest
A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants
after m months and develops the equation P(m) – 19.3(1.089)" to model the situation. Most recently, the scientist
counted 138 plants. Assuming there are no limiting factors to the growth of the plants, about how many months have
passed since the plants were first introduced?
6.1
O 6.6
O 7.2
O 23.1
It would take about 23.1 months for the plant population to be 138 plants.
Exponential FunctionAn exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Given:
[tex]P(m)=19.3(1.089)^m[/tex]
Where P is the plant population after m months.
For a population of 138 plants:
[tex]138=19.3(1.089)^m\\\\m*ln(1..089)=ln(7.15)\\\\m=23.1[/tex]
It would take about 23.1 months for the plant population to be 138 plants.
Find out more on Exponential Function at: https://brainly.com/question/12940982
Answer:
23.1
Step-by-step explanation:
edge
Which is larger 9 kg or 8500 grams
Answer:
9 kg
Step-by-step explanation:
1 kg = 1000 g → 9 kg = 9000 g
9000 g > 8500 g
9 kg > 8500 g
Use the distributive property of multiplication to find 5×45.
Hint: 45=5+40.
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = (a*b) + (a*c)
45 = 40 + 5
5* 45 = 5* (40 + 5)
= 5*40 + 5*5
= 200 + 25
= 225
5.4 Lesson 23 Jasmine took as much time to take a math test as Paula. If Paula took 2 hours to take the test, how long did it take Jasmine to take the test?
Answer:
2 hours
Step-by-step explanation:
if jasmine took the same amount of time as Paula and Paula took 2 hours that means Jasmine also took 2 hours
1-2=? brainly said i have to write 20 words
Answer:
-1
Step-by-step explanation:
I dont know lalalalalalalalal
BRAINLIEST FOR WHOEVER GETS IT RIGHT FIRST !!!!!:)
7. What is the common ratio of the following geometric sequence: 90, 136/2 405/8?
r= - 3/4
r= 3/4
r= 4/3
r= -4/3
\/////////////////////////////////////////////////
Answer:
Its b r=3/4
Step-by-step explanation:
mark me brainlist
Estimate the product of 25512×379
25
5
12
×
3
7
9
to the nearest whole number.
Answer:
96
Step-by-step explanation:
305/12*34/9=5185/54 or 96+1/54
Answer:
exact answer:96[tex]\frac{1}{54}[/tex]
round to the nearest whole number: 96
NEEEEED HELP ASAP ASAP
Answer:
90°-40°
=50°
50°÷2
=25°
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
2x + 40 = 90
2x = 90 - 40
2x = 50
x = 25
help me plss look at the screenshot
Answer:
Therefore option 2 is correct.
given:
4 huge blue blocks5 medium red blocks1 small yellow block, it will be 1solve:
option 1:
(x + 4)(x + 1)
x² + 4x + x + 4
x² + 5x + 4
option 2:
(4x+1) (x+1)
4x² + 4x + x + 1
4x² + 5x + 1
option 3:
4x + 5
option 4:
( 4x² + x ) (x + 1)
4x³ + 4x² + x² + x
4x³ + 5x² + x
Answer:
(4x + 1)(x + 1)
Step-by-step explanation:
The blue squares mean [tex]x^2[/tex]
The red rectangles mean [tex]x[/tex]
The yellow square means [tex]+1[/tex]
So adding the tiles together we get: [tex]4x^2+5x+1[/tex]
Reading along the bottom = 4x + 1
Reading down the right side = x + 1
If we multiply these:
[tex](4x + 1)(x + 1)=4x^2+4x+x+1=4x^2+5x+1[/tex]
which is the same as above, so correct!
