The solution to the system of equations is (45, –30)
How to determine the solution to the system of equations?The equations are given as:
y =-4/5x + 6
y = –30
Substitute y = –30 in y =-4/5x + 6
-30 =-4/5x + 6
Subtract 6 from both sides
-36 = -4/5x
Divide both sides by -4
9 = 1/5x
Multiply both sides by 5
x = 45
So, we have:
(x,y) = (45, –30)
Hence, the solution to the system of equations is (45, –30)
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Answer:
(45, –30)
Step-by-step explanation:
I’ll give brainliest!
Step-by-step explanation:
Line L passes through point (0,2) and (4,0)
If you want to find the gradient of Line L, you can use this formula :
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{0 - 2}{4 - 0} [/tex]
[tex]m = \frac{ - 2}{4} [/tex]
[tex]m = - \frac{1}{2} [/tex]
Plot the points on the coordinate plane and answer the questions. K(11, ....), L(...., 11), and M(40, ....) are on that line, too. What are the missing coordinates?
Answer:
K(11,19), L(7,11), M(40,77).
Step-by-step explanation:
One cubic foot of concrete weighs about 145 pounds. What is the weight of 19 cubic feet of concrete?
Answer:
2755
Step-by-step explanation:
One cubic foot=145 pounds, so we can do 145x19=2755 lbs.
The required weight of 19 cubic feet of concrete is 2755 pounds.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.
Thus, the required weight of 19 cubic feet of concrete is 2755 pounds.
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Find the equation of a line parallel to -x + y = -5 that passes through the point
(-6,-8).
Oy=x-5
O-x+y=-2
Submit Answer
Oy=-x-2
O-z-y=14
Answer:
O -x+y=-2
Step-by-step explanation:
-x + y = -5
⇔ y = x - 5
a line parallel to y = x - 5 must have the same slope as the line y = x - 5
Then
The equation of the parallel line is of the form : y = x + p
Finding p :
the point (-6,-8) lies on the parallel line means :
-8 = -6 + p
Then
p = -8 + 6 = -2
Finally :
y = x - 2 ⇔ -x + y = -2
why π is not equal to 3.1416
Answer:
pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive
Step-by-step explanation:
In decimal form, the value of pi is approximately 3.14. But pi is an irrational number, meaning that its decimal form neither ends (like 1/4 = 0.25) nor becomes repetitive (like 1/6 = 0.166666...). (To only 18 decimal places, pi is 3.141592653589793238.)
1) |x-(-18)| if x<-18
2) |2x| if x<0
3) |x-120| if x<120
The results of the absolute value expressions are:
|x - (-18)| if x < -18 is greater than 0|2x| if x < 0 is greater than 0|x - 120| if x<120 is greater than 0How to solve the absolute value expressionsExpression 1:
We have: |x - (-18)| if x<-18
Open the bracket
|x + 18|
If x < -18, then the values of x are above -18 i.e. -19, -20...
This means that: |x + 18| > 0
Hence, |x - (-18)| if x < -18 is greater than 0
Expression 2:
We have: |2x| if x < 0
If x < 0, then the above equation would be greater than 0
Hence, |2x| if x < 0 is greater than 0
Expression 3:
We have: |x - 120| if x<120
If x < 120, then the values of x are less 120 i.e. 119, 118...
This means that: |x - 120| > 0
Hence, |x - 120| if x<120 is greater than 0
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A drama class has a total of 35 students the number of females is 13 less than the number of males. How many males and how many females are in the class
Subtract the difference of girls and boys from total kids:
35 -13 = 22
Divide 22 in half:
22/2 = 11
number of females = 11
Number of males = 11 + 13 = 24
Answer:
24 males, 11 females
Step-by-step explanation:
Solved with equations:
m = males, f = females
The equations:
[tex]m+f=35\\m-f=13[/tex]
Add the two equations:
[tex]2m=48[/tex]
[tex]m=48/2=24[/tex] males
Number of females:
[tex]24+f=35\\f=35-24\\f=11[/tex]
Hope this helps
In my local travel shop i can exchange euros for british pounds when i come back from holiday. I get £1 for every 1.46 euros. Complete this table for different values of euros that people exchanged in front of me in the shop.
21. 14.60 euros in pounds =
22. 109.50 euros in pounds =
23. 73 euros in pounds =
24. 365 euros in pounds =
Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Rate: 1.46 euros per £1
Q21
14.60 euros in pounds14.60/1.46 = £10Q22
109.50 euros 109.50/1.46 = £75Q23
73 euros73/1.46 = £50Q24
365 euros365/1.46 = £250Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Exchange rate:
£1 = ∈1.46
To convert from euros to pounds, divide the euros by 1.46
To convert from pounds to euros, multiply the pounds by 1.46
Question 21
14.60 euros = 14.60 ÷ 1.46 = £10
Question 22
109.50 euros = 109.50 ÷ 1.46 = £75
Question 23
73 euros = 73 ÷ 1.46 = £50
Question 24
365 euros = 365 ÷ 1.46 = £250
Tony bought a $25 hornets t-shirt and used a coupon for a 25% discount. Keith bought an identical t-shirt at a different store for $19.95. which statement is true?
A.Tony paid $2.55 less than keith paid.
B.Tony paid $1.20 less than keith paid.
C.Keith paid $2.55 less than tony paid.
D.Keith paid $1.20 less than tony paid.
Answer: Tony paid $1.20 less than Keith paid.
Step-by-step explanation: Easy math, try asking your teacher for help. It takes time.
PLEASE HELP
a41= 5 7 2
write your answer in scientific notation:
5,870,000,000,000 x 2000
Answer:
1.174 X 10^16
Step-by-step explanation:
since 5,870,000,000,000 X 2000 = 11,740,000,000,000,000 = 1.174 X 10^16
21.
1 point
A movie theater is showing three different movies. The dot plots represent
the ages of the people who were at the Saturday afternoon showing of each
of these movies. One of these movies was an animated movie rated G for
general audiences. Do you think it was Movie A, B. or C?*
movie A
30 35
45 50
55
movie B
50
10
movie C
Mark only one oval.
A
000
15
age
35
.....
45
50
Answer:
One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?
movie B
Which movie has a dot plot with ages that that center at about 30 years?
movie C
What is a typical age for the people who were at Movie A?
40
Step-by-step explanation:
I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.
Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Find the area of the table top in square feet? hurry plss
It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.
What is the formula for the area of a Trapezoid?The formula for the area of a regular Trapezoid is:
A = h * ((a+b)/2);
Where
A = Area
a = Short Base
b = Long Base
h = Height
So what is the solution for the above trapezoid?Following the above formula,
A = 4 * ((5+9)/2)
A = 4 * (14/2)
A = 4 * 7
A = 28 Feet.
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A landscape design company is building a large gazebo for a backyard. It is in the shape of the
regular polygon shown below, where the measurements are in feet. They need to purchase wood
for the floor. It costs $10 per square foot for the special wood the homeowner wants. Find the cost
of the gazebo's flooring. Recall A = ap for the area of a regular polygon:
The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.
A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.
Then the area of the heptagon is given as
Area of heptagon = 7 x area of a triangle
Area of heptagon = 7 x 0.5 x 12.1 x 12.6
Area of heptagon = 533.61 square ft
If the costs $10 per square foot for the special wood the homeowner wants.
Then we have
Total cost = 10 x 533.61
Total cost = $ 5336.1
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Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre
Answer:
c.
Step-by-step explanation:
15-3-3=9...........
At a park, the logging trail is a circle with a radius of 200 meters. how far is it around the trail? use 3.14 or pi. show your work
Answer:
400π
Decimal Form:
1256.63706143
Explanation: To find the around the trail, you'll use the circumference formula.
2πr
2 x 3.14 x 200
Amala listed her assets and liabilities. credit card balance car (paid in full) jewelry student loan savings account stocks $850 $2,200 $125 $2,500 $1,200 $1,500 what is the total of amala’s liabilities? $850 $2,500 $3,350 $5,550
The total of amala’s liabilities will be $5,500.
What is liabilities income?Passive income is the amount you receive that comes from the remuneration of your investments in financial market products. That is, it is generated regardless of your effort.
In this case, the total will be:
Total amount of Amala’s liabilities = Credit card balance + car + student loan
So, we have:
[tex]850 + 2200 + 2500 = $5500[/tex]
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Answer:
$3,350
Step-by-step explanation:
This is because her car is paid in full it is no longer a liability it is an asset making the person above incorrect. The credit card balance + the student loans = 3,350
Can the sides of a triangle have lengths 2, 13, and 14?
Answer:
Yes
Step-by-step explanation:
The larger side is smaller than the other sides combined
(2 + 13) > 14
Hope this helps
mutiply (x-3)(4x+2) using the foul method
Answer: [tex]4x^2-10x-6[/tex]
Step-by-step explanation:
[tex](x-3)(4x+2)[/tex]
[tex]Expand[/tex] [tex]the[/tex] [tex]polynomial[/tex] [tex]using[/tex] [tex]the[/tex] [tex]FOIL[/tex] [tex]method[/tex].
Therefore your answer is [tex]4x^2-10x-6[/tex]
Answer:
4x^2 -10x + 6
Step-by-step explanation:
multiply (x-3)(4x+2) using the foil method
(x*4x)+(x*2)+(-3*4x)+(3*2)= 4x^2+2x-12x+6 = 4x^2 -10x + 6
timothy's video game the levels starts with 30 aliens each worth five points Timothy already shot 6 of them how many more points can he get if he shoots the rest on this level?
Answer:
70 points
Step-by-step explanation:
9. The number of books in a class library is 17 more than 3 times the number of students in the class. If 5 students are absent, each student can borrow exactly 4 books from the library. Find the number of students in the class.
Answer: 37 students in the class
Step-by-step explanation:
Let n = number of books,
Let s = number of students
We get the following expressions:
n = 3s + 17
4 = [tex]\frac{n}{s-5}[/tex]
Solve this system using substitution:
[tex]4=\frac{3s+17}{s-5}[/tex]
[tex]4(s-5) = \frac{3s+17}{s-5} (s-5)[/tex]
[tex]4s -20 = 3s+17\\[/tex]
[tex]s-37 = 0\\[/tex]
[tex]s=37[/tex]
On a map one inch is equal to 125 miles. There are six inches between Happyville and Glumtown. How many miles are between the two towns?
(I will make brainliest)
Step-by-step explanation:
6x125=750 hope this helps
Nasim is flying a kite, holding his hands a distance of 2.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 28 degrees. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The height of Nasim kite above the ground is 51.79 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height from Nasim hand to the kite, hence:
sin(28) = h / 105
h = 49.29
Kite height above the ground = 2.5 + 49.29 = 51.79 feet
The height of Nasim kite above the ground is 51.79 feet
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ethan sorts shapes into two groups as shown what mistakes did ethan make
Ethan's mistakes in sorting the shapes into two groups are:
Shape C does not belong to group 1 because it does not have square cornersShape F does not belong to group 2 because it does not have any square cornersHow to spot the mistakes?From the complete question (see attachment), the shapes are grouped using the following criteria:
All the shapes in group 1 have 4 square cornersAll the shapes in group 2 have exactly 1 square cornerUsing the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups
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The tree diagram represents an
experiment consisting of two trials.
Enter the probability to the hundredths place.
Do not round.
The value of the probability P(D) is 0.74
How to estimate the probabilty?Using the tree diagram, the value of P(D) is represented as:
P(D) = P(B and D) + P(A and D)
Using the values on the tree diagram, we have:
P(D) = 0.4 * 0.8 + 0.6 * 0.7
Evaluate
P(D) = 0.74
Hence, the value of the probability P(D) is 0.74
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2) A 6-pack of energy drinks costs $3.00. The unit rate is $
Your answer
If as = 24, a, = 40, then find a20
Answer:
[tex]a_{20}[/tex] = 84
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d
~~~~~~~~~~~~~
[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24
[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40
[tex]a_{1}[/tex] + 4d = 24 ........... (1)
[tex]a_{1}[/tex] + 8d = 40 ........... (2)
(2) - (1)
4d = 16 ⇒ d = 4
[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8
[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84
89. 70 is what percent of 350?
Step-by-step explanation:
100% = 350
1% = 100%/100 = 350/100 = 3.5
how many % are 70 ? well, as many as often 1% fits into 70 :
70/3.5 = 20%
please help ILL GIVE BRAINLIESST I NEED TWO PPL TO ANWSER SO I CAN GIVE IT !! EXPLANATION PLEASE
Answer:
∠ECB
Step-by-step explanation:
The angle which is vertical to ∠HCI is ∠ECB.
A vertical angle has the equal angle measure to the angle opposing it.
Hence, our answer is understood.
What is the circumference of the circle?
Answer:
[tex]\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}[/tex]
Step-by-step explanation:
Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.
Now, the formula for the cirumference of a circle = 2πr
Circumference of the circle
= 2πr
= 2 × 3.14 × 5 [π = 3.14]
= 31.4 feet (option E)
[tex]\rule{150pt}{2pt}[/tex]
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}}\diamond[/tex]
What is the circumference of the circle? (Its radius is 5 ft)
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
The distance from the tetherball pole to the edge of the circle is the radius of the circle; we're given that it's 5 feet (ft).
We're asked to find the circumference of the circle, which can be found using the following formula:-
❖ [tex]\sf{C=2\pi r}[/tex]
Where:-
C=circumferenceπ=pi (3.14...)r=radiusSubstitute 5 for r:-
[tex]\sf{C=2\pi (5)}[/tex]
On simplification,
[tex]\sf{C=10\pi}[/tex]
On further simplification,
[tex]\sf{C=31.4\:feet}[/tex]
So we conclude that the right option is:-
[tex]\checkmark\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:E}}}\bigstar\dashleftarrow\checkmark[/tex]
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