Answer:
Answer
2x+3y=14,2x−3y=2
Adding :
2x+3y=14
2x−3y=2
__________
4x=16
x=4
∴xy=4×2
=8
2×4+3y=14
8+3y=14
3y=6
y=2
Step-by-step explanation:
here you go
Answer: The y-intercept is found by substituting known values for x and y in the equation and solving for b. the known values are (x,y) = (2,8.4) Equation of y = 4.2*x + b becomes 8.4 = 4.2*2 + b
Step-by-step explanation:
what is the total volume of the piece of cake?
Answer:
The answer is 540^3
Step-by-step explanation:
The height is 6
base 1 or a is 10
base 2 or b is 18
base 3 or c is 20.59 (use Pythagorean theorem)
Ruby is buying chocolates for her friends. The candy store charges $13.80 for a box of chocolates, and each additional piece of chocolate costs $0.23. Ruby has $21 to spend. She buys x additional pieces along with a box of chocolates.
Which inequality correctly represents the given situation?
A.0.23x + 21 ≤ 13.8
B.13.8 + 21 ≤ 0.23x
C.13.8 + 0.23x ≤ 21
D.13.8 + 0.23x ≥ 21
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
hope I helped!!
Let me know if you need an explanation:)
9/14 decimal rounded to the nearest hundredth
Answer:
It's 0.64 you really couldn't just look this up?
Step-by-step explanation:
just put 9 divided by 14 in your calculater and round
A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?
Answer:
$2.77 per quart.
Step-by-step explanation:
There are four quarts in a gallon.
4 * 3 = 12
There are 12 quarts in 3 gallons.
[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]
The price per quart should be $2.77.
Hope this helps.
The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The length and side of each rectangle can be represented as a difference of squares. What is the perimeter of one of the rectangles?
Answer:
[tex]Perimeter = 12y[/tex]
Step-by-step explanation:
Given
[tex]Area = 18y^2 - 8[/tex] -- two rectangles
Required
Determine the perimeter of one of the rectangles
First, calculate the area (A) of 1 rectangle
[tex]A =\frac{1}{2}Area[/tex]
[tex]A =\frac{1}{2}(18y^2 - 8)[/tex]
[tex]A =9y^2 - 4[/tex]
Express as difference of two squares
[tex]A =(3y - 2)(3y+2)[/tex]
Area is calculated as:
[tex]A = Length * Width[/tex]
So, by comparison:
[tex]Length = 3y - 2[/tex]
[tex]Width = 3y + 2[/tex]
The perimeter is:
[tex]Perimeter = 2 *(Length + Width)[/tex]
[tex]Perimeter = 2 *(3y-2+3y+2)[/tex]
Collect Like Terms
[tex]Perimeter = 2 *(3y+3y-2+2)[/tex]
[tex]Perimeter = 2 *(6y)[/tex]
[tex]Perimeter = 12y[/tex]
At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole
casts a shadow that is 9 feet long. How tall is the flagpole to the nearest foot?
A.4 feet
B.7 feet
С.8 feet
D.19 feet
Answer:
D 19 feet
Step-by-step explanation:
Let x = height of flagpole
tan 65 = x/9
9tan 65 = x
x = 19.3 ≅ 19 ft. to the nearest foot
please help!!!!!! emergency
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?
Answer:
The employees will work for 1 hour, will earn $5 per hour and will be paid $5
Step-by-step explanation:
System of Equations
The number of hours the employees work is x.
And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation
10y-30x=20
The business owner states that the employees should be paid a wage given by the equation
6y+30x=60
Adding both equations we have:
16y = 80
Dividing by 16:
y = 80/16 = 5
Substituting into the first equation:
10*5-30x=20
Operating and simplifying:
50-30x=20
50 - 20 = 30x
30x = 30
x = 30/30 = 1
Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5
Max and jane had $84 altogether. Max had $6 less than jane. Use algebra to find the amount of money jane had
Answer:
Jane has $45, and Max has $39.
Step-by-step explanation:
M + J = 84
M = J-6
( J - 6 ) + J = 84
2J - 6 = 84
2J = 90
J = $45
M= $39
Which inequality is represented by the graph?
In PITI what does P stand for?
O A. Principal
O B. Prepayment
O C. Payment
O D. Penalty
Answer:
O A. Principal
Step-by-step explanation:
happy to help ya :)
Find the percent change from the first value to the second.
30; 39
Answer:
Change in percent = 30%
Step-by-step explanation:
Given:
First value = 30
Second value = 39
Find:
Change in percent
Computation:
Change in percent = [(Second value - First value) / First value]100
Change in percent = [(39 - 30) / 30]100
Change in percent = [(9) / 30]100
Change in percent = 30%
need help................
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Solve the equation. Check your solution and show all your work.
very confused about this and how to execute it to be honest
Answer:
t = 19 1/4
Step-by-step explanation:
24 1/2 = t + 5 1/4
49/2 = t + 21/4
t + 21/4 = 49/2
t = 49/2 - 21/4
t = 98/4 - 21/4
t = 77/4
t = 19 1/4
14. Ashton has 3 less dollars than Cole. This relationship can be represented by an equation using
a for the amount of money Ashton has, in dollars and c for the amount of money Cole has, in
dollars.
Which equation correctly shows this
relationship?
A. a _c=3
B.C_a=3
ola
0
D. 3a C_0
The equation that describes Ashton has 3 less dollars than Cole is a = c - 3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Ashton has 3 fewer dollars than Cole.
'a' represents the amount of money Ashton in dollars and c represents the amount of money Cole has.
So, a = c - 3.
Therefore, the equation that describes this relation correctly is,
a = c - 3.
learn more about numerical expressions here :
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x^(2)-7x=44 solve for x-intercepts.
Answer:
-4, 11
Step-by-step explanation:
X-intercepts occur at y=0:
x^2-7x-44=0
(x-11)(x+4)0
so we have -4 and 11.
Solve by substitution -2x+5y=-17 y=-4x+1
Answer:
-2x +5(-4x+1) =-17
-2x -20x+5=-17
-22x+5=-17
-22x=-22
x=1
y=-4(1)+1
y=4+1
y=5
(1,5)
A group of five friends goes to a show each ticket cost nine dollars and the friends share popcorn the cost six dollars which shows the total cost?
Answer:
9x5+6
Step-by-step explanation:
5 people x $9 ticket + the $6 popcorn
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
Pls help me with my homework
Answer:
Yes
Step-by-step explanation:
It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle
Find AE if AB=12, AC=16, and ED=5.
Answer:
the ratio is 12:16=3/4
So AE:5+AE=3/4
4AE=15+3AE
AE=15
Step-by-step explanation:
The length of the line segment AE is 15 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In a triangle if one segment is parallel to one side of a triangle divides the other two sides in the ratio of their corresponding lengths.
Given, AB = 12, AC = 16 and ED = 5, hence BC = AC - AB = 4.
Therefore, AB/BC = AE/ED.
12/4 = AE/5.
4AE = 60.
AE = 15 units.
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8th grade math, please help.
Answer:
x=25
Step-by-step explanation:
It is because it alternates with the angel m<25⁰
HOPE IT HELPS
Answer:
X=, 25°
Because alternative interior angles are equal
Find the slope of the line passing through the points (7, 7) and (7, -8) find the slope of the line passing through the points (-6, 7) and (9, 7)
Step-by-step explanation:
to work out gradient
change in y ÷ change in x
first lines gradient
(7 - - 8) ÷ (7 - 7) = 0
second lines gradient
(7 - 7) ÷ (9 - - 6) = 0
What is the y-coordinate for the solution to the system of equations?
{y=1/2x−4
{y=−2x+1
Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
I need help on this question please!
Answer:
150
Step-by-step explanation:
5^2=25
6 times 25=150
Hope I helped!
In the above figure, m∠A = 32° and m∠B = (2x + 14)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B? A. x = 22, m∠B = 44° B. x = 22, m∠B = 58° C. x = 67, m∠B = 148° D. x = 54, m∠B = 58°
Complementary angles have a sum of 90
32+2x+14=90
2x+46=90
2x=44
x=22 the second angle is 58
2(22)+14=58
Solve 4x - 8 < 44. Enter your answer as an inequality.
Answer:
x < 13
Step-by-step explanation:
We have an inequality and are asked to solve for x.
Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.
4x - 8 < 44
Add 8 to both sides :
4x < 52
Divide 4 from both sides :
x < 13
If the ratio of tables to chairs in the school cafeteria is 2 to 5 and there are 154 total objects, how many chairs are there?
A) 110
B) 44
C) 116
D) 120
Will give BRAINLIST
Answer: The ratio of tables to chairs is 44 chairs.
THIS IS A HARD QUESTION HOPE YOU CAN SOLVE
Answer:
The triangles are congruent so AB=DE=6
AB=6
angle F= angle C
so F=50 degrees
Step-by-step explanation:
Find an equation of the line that contains the point (4,-3) and is perpendicular to the line 2x-3y=4
HELPPPPPPPPPP PLISSSSSSSS
Answer:
Step-by-step explanation:
-3y = -2x + 4
3y = 2x - 4
y = 2/3x - 4/3
perp; -3/2
y + 3 = -3/2(x - 4)
y + 3 = -3/2x + 6
y = -3/2x + 3