Answer:
$13.53
Step-by-step explanation:
78% off means you are paying only 22% of 61.50
.22 x 61.50 = 13.53
or
find 78% of 61.50 (it's 47.97) and deduct that value from 61.50
Which ordered pair is the best estimate for the solution to the system?
(4.8,5.2)
(5.5,4.3)
(5.1,4.8)
(6.5,5.2)
Answer:
5.5, 4.333 or 13/3
Step-by-step explanation:
Use substitution method.
Answer:
(5.5, 4.3 )
Step-by-step explanation:
Given the 2 equations
4x - 15y = - 43 → (1)
2x - 3y = - 2 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the term in x
- 4x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate x, that is
- 9y = - 39 ( divide both sides by - 9 )
y = [tex]\frac{39}{9}[/tex] ≈ 4.3 ( to 1 dec. place )
Substitute this value into either of the 2 equations and solve for x
Substituting into (2)
2x - 3([tex]\frac{39}{9}[/tex] ) = - 2
2x - 13 = - 2 ( add 13 to both sides )
2x = 11 ( divide both sides by 2 )
x = 5.5
Best solution is (5.5, 4.3 )
Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85
Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]
(-5a^6 -7) -14a^6
(i’ll give brainliest)
Answer:
-19a^6 -7
are you asking to simplify??
Expand the following :
A) 2(x+3)
B) 5(2x-4)
C) 4(2x+1)
D) 6(x-4y)
Answer:
A. 2x+6 . B. 10x-20 C. 8x+4 D. 6x-24y
Step-by-step explanation:
The ordered pairs in the table below represent a linear function.
x
y
2
3
5
9
What is the slope of the function?
Answer:
The slope is 2
Step-by-step explanation:
Given
x y
2 3
5 9
Required
Determine the slope
First, we have:
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (5,9)[/tex]
The slope is then calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{9-3}{5-2}[/tex]
[tex]m = \frac{6}{3}[/tex]
[tex]m =2[/tex]
Hence, the slope is 2.
Answer:
C
Step-by-step explanation:
a 2100 square foot home in Cheyanne Wyoming cost $110 per foot How much does this home cost
Answer:
$231,000
Step-by-step explanation:
$110 times 2,100 is $231,000
Reciprocal of 5/6=..............
Step-by-step explanation:
To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .
What is the solution to the inequality 2n+5| > 1?
Answer:
n < - 3 or n > - 2
Step-by-step explanation:
Inequalities of the type | x | > a , have solutions of the form
x < - a or x > a
Then
2n + 5 < - 1 or 2n + 5 > 1
Solve both inequalities
2n + 5 < - 1 ( subtract 5 from both sides )
2n < - 6 ( divide both sides by 2 )
n < - 3
OR
2n + 5 > 1 ( subtract 5 from both sides )
2n > - 4 ( divide both sides by 2 )
n > - 2
Solution is n < - 3 or n > - 2
Can somebody please help me ?
SSA
Step-by-step explanation:
put name of triangle abc are same
The blueprint of a fishing pier uses a scale of 1/8 inch = 5 feet. If the pier is 19 3/4 inches long on the blueprint, find its actual length.
Answer:
790
Step-by-step explanation:
19 3/4÷ 1/8=158
158*5 = 790
Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters. The total number of two-color counters, c, that Mrs. Robertson needs varies directly as the number of students, s. Draw a graph showing the proportional relationship between c and s.
Answer:
Step-by-step explanation:
I just got this correct on the test
The linear relationship between c and s is c = 20s and on the graph paper, it will be a line.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
Mrs. Robertson is preparing manipulatives for her math class. Each student will receive a plastic cup with 20 two-color counters.
c is the total number of two-color counters
s is the number of students
The linear relationship becomes:
c = 20s
Thus, the linear relationship between c and s is c = 20s and on the graph paper, it will be a line.
Learn more about the proportional here:
brainly.com/question/14263719
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PLease help me! its urgent due now
The perimeter of a rectangle is 48 cm its length is 4 cm what is the width
someone please help i don’t understand
What is the solution to this system?
look at the circumference of each of the circles below. what do you think would be the circumference of a circle with diameter 1 cm?
Step-by-step explanation:
[tex]circumference \: of \: the \: circle = 2\pi \times \frac{diameter}{2} \\= 2\pi \times radius = 2 \times \pi \times \frac{1}{2} = \pi = 3.14 \: cm[/tex]
A cylinder an a cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches.The cone has a radius of 3 inches . What is the height of the Cone?
Volume of a cone = (1/3) pi x r^2 x h
Volume of a cylinder = pi x r^2 x h
Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches
Now set the volume for the cone to the volume of the cylinder and solve for the height.
37.68 = (1/3) x pi x r^2 x h
37.68 = (1/3) x pi x 3^2 x h
37.68 = (1/3) x pi x 9 x h
37.68 = 9.42 x h
h = 37.68 / 9.42
h = 4
The height of the cone is 4 cm.
a clothing retailer marks up his merchandise at a rate of 150% so that he can regularly offer a 25% off sale. if the retail price of a sweater is $60 determine the Retailer's cost and the sale price
Answer:
Answer in photo
Step-by-step explanation:
what is the slope of this line?? someone please help
Answer:
-2.5
Step-by-step explanation:
answer correctly and i will give brainliest
Answer:
yes it is because they are both going by two
Step-by-step explanation:
5 2/3 divided by 3/2 please answer soon
David bought 3.5 pounds of potatoes for $0.82 per pound. How much did David spend on potatoes?
i need help......,.................
Answer:B
Step-by-step explanation:
The answer is B
everyone should know this
Which of the following represents a line parallel to the y-axis
Answer:
c) x=4
Step-by-step explanation:
A tennis racket was originally priced at $125. The tennis racket went on sale and was marked down in
price by 20%. Natasha purchased the tennis racket while it was on sale. How much did Natasha pay for
the tennis racket?
How to multiply and divide fractions with a number beside them
Answer:
After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .
Step-by-step explanation:
Suppose we have fractions
3 4/5 and 2 15/24
So we multiply the whole number with the denominator beside them and add to the numerator to make them an improper fraction.
These will become
19/5 * 63/24
= 19*63/ 5*24
= 1197/120
= 9 117/120
After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .
The answer 1197/120 is divided ( 1197 is divided by 120) to get the mixed number back with a whole number and a fraction.
What variable is used to represent slope?
[tex]x \: and \: y[/tex]
hope my answer is helpful to you
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How do you know from a graph if a relationship is a direct variation?
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
w − y if w = 20 and y = −8
Answer:
20 + 8 =28
Step-by-step explanation:
In the given figure, O is the centre of the circle. For
what values of x and y , chord BC will pass through
the centre of circle where points A, B and C are on
the circle?
(a) x = 90, y = 60 (b) x =75,y= 30
(c) x = 65, y = 90 (d) x =90, y = 65
Answer:
d
Step-by-step explanation:
If chord BC passes through the centre then it is a diameter . then
∠ BAC is the angle in a semicircle and x = 90°
y = 180° - (90 + 25) ← angle sum in a triangle
y = 180° - 115° = 65°
Thus
x = 90°, y = 65° → d
In this exercise we have to use the knowledge of triangles inscribed in a circle, in this way it will be possible to calculate the angles, then:
Letter D
Knowing that it is a triangle inscribed in a circle, in this way we can describe it as:
BAC is the angle in a semicircle and x = 90°Angle sum in a triangle is [tex]y = 180 - (90 + 25)[/tex]So:
[tex]y = 180 - 115 = 65\\ x = 90\\ y = 65 [/tex]
See more about triangles at brainly.com/question/25813512