Answer:
m∠GFT = 142°
Step-by-step explanation:
∠GFT and ∠DFT are supplementary.
m∠GFT + m∠DFT = 180
7f + 163 + 6f + 56 = 180
13f + 219 = 180
13f = -39
f = -3
m∠GFT = 7f + 163 = 7(-3) + 163 = -21 + 163 = 142
Alto and Brian both ordered the same size pizzas and Marco's Pizza;
however, they ordered different toppings. Marco's charges an additional
fee for toppings, but all toppings cost the same. Alto got pepperoni,
banana peppers, and black olives on his pizza for a cost of $15.74. Brian
order mushrooms and eggplant of his pizza and paid $14.49. Using this
information, write an equation for the cost of a pizza, C, as a function of
the toppings, t, ordered. *Hint: slope intercept form and you will need the
slope formula
Answer:
Cost of pizza = 1.25x + 11.99
Step-by-step explanation:
Since Toppings cost the same and the pizza orders are of same size :
Alto ordered for 3 Toppings + pizza = 15.74
Brian ordered for 2 toppings + pizza = 14.49
Hence the cost per topping and pizza could be found :
Cost per topping :
15.74 - 14.49 = 1.25
Hence, slope = 1.25
The intercept, c represents the cost of pizza alone :
Cost of pizza + 2 Toppings = 14.49
Cost per topping = 1.25
Cost of pizza = 14.49 - 2(1.25)
Cost of pizza = 14.49 - 2.50 = 11.99
Expressing in slope - intercept form :
y = mx + c
m = slope ; c = intercept
Cost of pizza = 1.25x + 11.99
I need help with my math practice problems
[tex] - \frac{1}{8} = \frac{7}{4} + \frac{3}{2} z[/tex]
Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.
Someone help please!!
Answer: (x, y, z) = (-3, 2, 4)
In other words, x = -3, y = 2 and z = 4.
You'll enter the number only into each box.
===============================================================
Explanation:
There are a few routes we can take to solve this. I'll use substitution.
First let's isolate y in the second equation.
2x - y + 3z = 4
2x + 3z = 4+y
4+y = 2x+3z
y = 2x+3z-4
This is then plugged into the first equation
3x+2y+4z = 11
3x+2( y )+4z = 11
3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4
3x+4x+6z-8+4z =11
7x+10z-8 = 11
7x+10z = 11+8
7x+10z = 19 .... we'll call this equation (4) and come back to this later
--------------------------------------
Move onto the third equation (of the original equations given)
Plug in y = 2x+3z-4
5x - 3y + 5z = -1
5x - 3( y ) + 5z = -1
5x - 3( 2x+3z-4 ) + 5z = -1
5x - 6x - 9z + 12 + 5z = -1
-x - 4z + 12 = -1
-x - 4z = -1-12
-x - 4z = -13 ..... let's call this equation (5)
--------------------------------------
To recap, we found equation (4) and equation (5) to be
7x+10z = 19-x - 4z = -13We can then solve for x in equation (5) like so
-x - 4z = -13
-x = -13 + 4z
-x = 4z - 13
x = -(4z - 13)
x = -4z + 13
This is then plugged into equation (4)
7x+10z = 19
7(-4z+13)+10z = 19 .... note how we now have one variable
-28z+91+10z = 19
-18z+91 = 19
-18z = 19-91
-18z = -72
z = -72/(-18)
z = 4
We can use this value of z to find x
x = -4z+13
x = -4(4)+13
x = -16+13
x = -3
Use the values of x and z to find y. We'll revisit the first equation in which we isolated y
y = 2x+3z-4
y = 2(-3)+3(4)-4
y = -6+12-4
y = 6-4
y = 2
So overall, the solution to this system is (x, y, z) = (-3, 2, 4)
-------------------------------
Checking the answer:
We'll replace x,y,z with the values we found.
In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4) turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.
(Find the commission.)
Earning Commission
Sales CommisionRate Commission $640 4% ?
The commission is $ ?
Answer:
25.6
Step-by-step explanation:
640*4%
Answer:
the commsion is $25.60
Step-by-step explanation:
commission amount = sale price * commission percentage / 100.
b) 0.069 + 0.84 can u guys plzz help me it math subject and the lesson name is decimal help
0.909
Add together 69 and 840 (0.84 has less to the right) and put it behind a decimal.
Answer:
0.909
Step-by-step explanation:
Because there are decimals
0.069+
0.84
=0.909
Hope this helps you
Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2
Answer:
(-1.714, 1.857)
Step-by-step explanation:
Here, we want to find the approximate solution to the system of linear equations
We start by plotting the graph of the lines
We have the plot as shown below;
the red line represents the first equation while the blue line represents the second equation
We have the solution as the point at which the two lines meet
The solution to this is;
(-1.714, 1.857)
PLSSSS HELPPPPP ASAPPPP
Answer:
b
Step-by-step explanation:
Latoya made $147 for 7 hours of work.
At the same rate, how much would she make for 9 hours of work?
help pls
Answer:
$189 in 9 hrs
Step-by-step explanation:
Division is one of the four fundamental arithmetic operations. The amount that Latoya will make by working 9 hours is $189.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Latoya made $147 for 7 hours of work. Therefore, we can write,
Money made in an hour = Total Amount / Number of hours
= $147 / 7 hours
= $21 per hour
Now, the amount that Latoya will make in 9 hours will be,
Amount for 9 hours of work = Money made in an hour × Number of hours
= $21 per hour × 9 hours
= $189
Hence, the amount that Latoya will make by working 9 hours is $189.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
sum of 34908 and 12765?
Answer:
47,673
Step-by-step explanation:
Answer: 47,673
Step-by-step explanation:
Which expression is equivalent to 4(2x +3)?
a.4 + 2x + 4 +3
8x + 12
c.8x + 3
d.
4 + 2x + 12
Answer:
c 8x+3 all you do is multiply 4 and 2 to get 8 and add an x
HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2
Answer:
Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.
I can not Put Out The Points So Im sorry.
Arianna has $0.90 worth of nickels and dimes. She has 4 times as many nickels as
dimes. By following the steps below, determine the number of nickels, x, and the
number of dimes, y, that Arianna has.
Answer:
X=3
Step-by-step explanation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
x = 3
The base of an isosceles triangle is 24cm and its area is 192 sq.cm . Find its perimeter
Answer:AB = AC since the given triangle is isosceles. Area = 192 sq.cm. = 64 cm. Hence the perimeter of triangle is 64 cm.
Step-by-step explanation:
Select all of the attributes of the right rectangular prism.
Answer:
Opposite faces are parallel
There are 6 faces
All faces meet at 90 degrees.
Step-by-step explanation:
I think
A company that makes hair-care products had 5,000 people try a new shampoo. of the 5,000 people, 15 had a mild allergic reaction. What percent of the people had a mild allergic reaction? PLEASE HELP ILL GIVE BRAINLIEST
Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a
kitchen cabinet set in 1/5 of an hour.
How many kitchen cabinet sets can be installed by her workers in 1 hour?
Express your answer as an improper fraction.
Answer:
10/3 of the cabinet
Step-by-step explanation:
Given data
We are given that in 1/5 hour they can install 2/3 kitchen cabinet
We want to find out how many of the kitchen cabinet they can install in one hour
Hence
in 1/5 hour they installed 2/3 cabinet
in 1 hour they will install x cabinet
cross multiply
x* 1/5= 2/3
divide both sides by 1/5
x= 2/3/1/5
x= 2/3*5/1
x= 10/3 of the cabinet
In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Someone help ASAP!
what is 82.68 ÷ 1,000?
Hello, I am BrotherEye
Answer:. 0.08268
Step-by-step explanation:
However many zeros there is you push that down so if it was 20.40 divided by 100 there is two zeros in 100 so the answer would be .2040
Could someone help me with this!!!
Answer:
imports
Step-by-step explanation:
Answer:
exports
Step-by-step explanation:
send (goods or services) to another country for sale.
2/x + 5/3 = 7/2, trynna solve for x
Answer:
x= 12/11
Step-by-step explanation:
PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!
y=-8 y=-2-12
Answer:
For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.
For the second equation the first point will be on (0, -12)
you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)
you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on
Make a, the subject of 3a-b=a+7
Answer:
a = (b+7)/2
Step-by-step explanation:
3a - b = a + 7
2a - b = 7
2a = b + 7
a = b+7/2
Which equation illustrates dividing out a common factor as the first step to solve the equation 2 x + 4 = 6 x + 2 ? A. 2 ( x + 2 ) = 2 ( 3 x + 1 ) B. 2 x 2 + 2 2 = 6 x 2 + 2 2 C. 2 x 2 + 4 = 6 x 2 + 2 D. 2 x + 4 2 = 6 x + 2 2
Answer:
Step-by-step explanation:
2x + 4 = 6x + 2
Bringing like terms on one side
4 - 2 = 6x - 4x
2 = 2x
2/2 = x
1 = x
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
56 + (-56)
Find each sum
Answer:It equals 0.
Step-by-step explanation:
Because the 56 in parenthesis is a negative so when you add it equals nothing.
ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.
Triangle a- √3,√4,√5
Triangle b- 3,4,5
triangle c- 2,4,6
Triangle d- √2,√4√6
Answer:
triangle b and triangle d
Step-by-step explanation:
3^2+4^2=5^2
2+4=6
Answer:
Triangle b- 3,4,5
5²=3²+4²
Triangle d- √2,√4√6
(√6)²=(√2)²+(√4)²
CANNNNN ANYONE FIGURE TJIS OUTTT
Answer:
6.7
Step-by-step explanation:
Since both the figures are similar, so their corresponding sides would be in proportion.
Therefore,
[tex] \frac{a}{12} = \frac{5}{9} \\ \\ a = \frac{60}{9} \\ \\ a = 6.7 \: [/tex]
If y varies directly with x, and y is 3 when x is 9, find x when y is 12.
Answer:
x=4
Step-by-step explanation:
Answer:
9/3=3
12/3=4
step-by-step explanation:
I think it's four but sorry if its not
Which of the following best describes the relationship between the number of miles a person runs and the number of calories he/she burns?
A. neither correlation nor causation
B. correlation and causation
C. correlation without causation
D. causation without correlation
Pls send quotes about no giving up