Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
Help plsss
Calculate the area
Answer:
140 feet squared
Step-by-step explanation:
Let's do this step by step. First, let's find the area of the rectangle, which is 8 times 10. It equals 80. Next, do the trangle. 6 times 10 is 60. So, 60 plus 80 equals 140.
Answer:
area of rectangle =L*B
8*10=80ft^2
area of triangle=1/2b*h
h is 8 ft
1/2*6*8
3*8
24ft^2
total area is 80+24
104ft^2
nearest tenth = 100 ft^2
What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?
O The points should form an upward curve.
O The points should be scattered randomly.
O The points should appear to lie generally along a line.
O The points should form one line above the x-axis and another below it.
On a scatter plot, the points are randomly placed around the graph. The correct option is B.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
A scatter (XY) plot is a vertical data visualization method for displaying the relationship between two sets of data. It is a graphical display of data that consists of a collection of points plotted in a two- or three-dimensional plane.
The locations of the points in a scatter plot are chosen at random. The best choice is B.
To know more about scatter plots follow
https://brainly.com/question/6592115
#SPJ6
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
8 dogs so 5*8= 40
so it's D
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.
Answer:
V=1582.56 cubic cm
Step-by-step explanation:
Aaron answered 7 out of 12 questions correctly on his last English quiz. Find his grade
to the nearest whole percent.
Answer:
Step-by-step explanation:
58%
7/12 into a percentage
Plzzzz help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy?
I will give you brainliest and 15 points
Answer:
she brought 21 shirts and 2 pants
Step-by-step explanation:
shirts
21× 14.50 = 304.5
357- 304.5 = 52.5
pants
52.5 ÷ 25 = 2.1
please help asap!! i’ll give brainlist if right.
Answer:
dogs = 2
cats = 80
Step-by-step explanation:
Here I will assume that cats and dogs are proportional
c = y d, if you substitue, you get
10 = y 4, which rearranged, becomes
y = 10/4 = 2.5
now that we know y, we can work out x and y, the missing dogs and cats
4 = 2.5 d
here, dogs = 2
c = 2.5 * 32
2.5 * 32 = 80
here, cats = 80
1) How many fourths are in one whole?
2) How many eighths are in one whole?
3) How many thirds are in one whole?
PLEASE HELP ASAP
Answer:
4 fourths are in one whole
8 eighths are in one whole
and 3 thirds are in one whole
Step-by-step explanation:
Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8
Answer:
Option: A
Step-by-step explanation:
Hope it helps you!
7/8 – m = 2/3
What is the value of m?
correct=brainliest
Answer: the answer is 5/24
Step-by-step explanation:
If you do 7/8 - 2/3 you get 5/24 and to check your work, do 7/8 - 5/24 and you get 2/3
Hope this helps ^^
Can someone help me and leave a description of how to do the problem? I need help asap!
Answer:
Step-by-step explanation:
What are the values of x and y? I REALLY NEED Y , I HAVE X. I will mark you brainliest if you give me y and its correct!
Answer:
72.5°
Step-by-step explanation:
180° - 35° = 2y°
145° = 2y
145/2 = 50+22+0.5 = 72.5
Kara donated 28 books to the book drive. Shawn donated some books. Kara donated 4 times as many books as Shawn.
What you have to do to solve the question:
Draw a diagram to represent Kara and Shawn's books, then solve how many books Shawn donated. can you draw it in a 4th grade way cuz im in 4th grade thank you.!
Answer:
i dont know how to make diagram for it but
Step-by-step explanation:
shawn donated 7 books
Which angles are complementary to 1? Select all that apply.
Answer:
angle 6 and angle 3
Step-by-step explanation:
angle 1 and angle 6 add up to 90 degrees
angle 6 is vertical to angle 3, so 1 is complementary to 3 as well
HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
y = x - 1
Step-by-step explanation:
Put it in point-slope form:
y - 0 = 1(x - 1)
y = x - 1
dennis had four children. Each child had three kids.
Answer: ok lol so what is you question
Step-by-step explanation:
Hailey solves the equation shown.
1/4(2 – x) = 5+ 3x
In which step does Hailey make her first error?
Step 1: 1/2 - x = 5+ 3x
Step 2: 1/2 = 5 + 4x
Step 3: – 9/2 = 4x
Step 4: -9/8=x
Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!
Answer:
900 people
Step-by-step explanation:
540 / 60 = 9
10% = 9
9 x 100 = 900 people
Hope that helps!
can someone please answer i will mark brainliest
Answer:
a. 2007
b. 120,000
c. the amount of money raised each year is decreasing
Step-by-step explanation:
sorry if im wrong just pay very close attention to the graph
Can someone plz help me
the area is 254.34 sq. ft.
Answer:
254.34 ft²
Step-by-step explanation:
diameter = 18 feet
radius = 18/2 = 9 feet
Area = pi x r²
= pi x 9²
= pi x 81
= 254.34 ft²
Select the expression that can be used to find the volume of this rectangular prism. A. ( 6 × 3 ) + 15 = 33 i n . 3 (6×3)+15=33 in.3 B. ( 3 × 15 ) + 6 = 51 i n . 3 (3×15)+6=51 in.3 C. ( 3 × 6 ) + ( 3 × 15 ) = 810 i n . 3 (3×6)+(3×15)=810 in.3 D. ( 3 × 6 ) × 15 = 270 i n . 3
Answer:
D
Step-by-step explanation:
(3x6)x15=270 in
the volume formula is base times width times height.
Answer:
D
Step-by-step explanation:
i took the quiz
Find the location of the center of a circle if the endpoints of the diameter are at (-10,
-5) and (8,4).
Answer:
(- 1, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
The centre is located at the midpoint of the diameter.
Using the midpoint formula , then
centre = [tex]\frac{-10+8}{2}[/tex], [tex]\frac{-5+4}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-1}{2}[/tex] ) = (- 1, - [tex]\frac{1}{2}[/tex] )
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
Answer:
3
Step-by-step explanation:
[tex]\frac{3y+6}{2x} \\\\\frac{3(4)+6}{2(3)} \\\\\frac{12+6}{6} =\frac{18}{6} \\\\3[/tex]
Please help ASAP I’m really confused please help!!!
Answer:
top right pls give brainliest
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME
What is the perimeter of the composite figure?
Enter your answer in the box.
perimeter = yd
Answer:
what
Step-by-step explanation:
for your answer of this question
perimeter =sum of all side.
sorry I am unable to find perimeter without figure.
Write the equation for the following quadratic relation in standard form:
a= -2 and with a vertex at (-3,4)
Answer:
3x-x+2=4
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation
I have attached an image showing the graph of the function.
Answer:
Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.
Step-by-step explanation:
First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.
Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.
This means that f(x) = 0 at x = 15 and at x = 70.
Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.
Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70