Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
-----------------------
- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
=====
8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
Answer:
solution: x = 4, y = 1 or (4, 1)
Step-by-step explanation:
To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):
-8x + 10y = -22
+ 8x - 15y = 17
- 5y = -5
Divide both sides by -5 to solve for y:
[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]
y = 1
Next, substitute the value of y into one of the equations to solve for x:
-8x + 10y = -22
-8x + 10(1) = -22
-8x + 10 = -22
Subtract 10 from both sides
-8x + 10 - 10 = -22 - 10
-8x = -32
Divide both sides by -8 to solve for x:
[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]
x = 4
Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).
what is two million,six thousand in numbers
Answer 2,6000
Step-by-step explanation:
LOL
How do you factor x^2 + 4x - 4?
Answer:
you cant factor it.
Step-by-step explanation:
7/12 divided by 3 3/4
Answer:
The answer is 7/45
Step-by-step explanation:
First you make 3 3 /4 into an improper fraction which becomes 15/4
Next, you do KFC which is keeping 7/12, making the division sign into multiplication, and then finally you flip 15/4 to 4/15.
Your final answer is 7/45
Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!
Find the slope of the line that passes through (-68, 47) and (-66, 33).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Quick please
Answer:
- 7Step-by-step explanation:
The slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]Substitute the values to get:
[tex]m=(33-47)/(-66+68)=-14/2=-7[/tex]_________
[tex] \: [/tex]
(X1, X2) = (-68, 47)
(Y2, Y1) = (-66, 33)
Soo :
m = [tex]\frac{Y2 - Y1}{X2 - X1}[/tex]
m = [tex]\frac{33 - 47}{68 - 66}[/tex]
m = [tex]\frac{-14}{2}[/tex]
m = [tex]\boxed{\bold{-7}}[/tex]
Done.
PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.
Answer:
No
Step-by-step explanation:
A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°Given:
∠
A
E
D
≅
∠
A
C
B
.
∠AED≅∠ACB.
Prove:
∠
A
B
C
≅
∠
A
D
E
∠ABC≅∠ADE.
The triangles have a common vertex angle, and a given pair of
corresponding and congruent angles, they are therefore similar triangles.
∠ABC ≅ ∠ADE (CASTC)Reasons:
The given parameters are;
∠AED ≅ ∠ACB
By observation, we have that ΔAED and ΔACB have ∠A = ∠DAE and ∠A =
∠BAC in common.
Therefore, ∠DAE ≅ ∠BAC, by reflexive property.
Two angles of ΔAED (∠AED and ∠DAE) are congruent to two angles in
ΔACB.
(∠ACB and ∠BAC), which gives that ΔAED and ΔACB are similar by AA
Angle-Angle similarity postulate, and by Corresponding Angles of Similar
Triangles are Congruent CASTC we have;
∠AED ≅ ∠ACB
∠DAE ≅ ∠BAC
∠ABC ≅ ∠ADELearn more here:
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PLZ HELP What is the area of the polygon?
The answer is 42 meters squared
question in the picture. HELP! please
Answer:
1) 4*4x-4*3 and 16x-12
2)15y and 8y+7y
Answer:
16x-12 & 4(4x)-4(3)
15y & 8y+7y
Step-by-step explanation:
Ivan rented a truck for one day. There was a base fee of $18.99 , and there was an additional charge of 91 cents for each mile driven. Ivan had to pay $151.85 when he returned the truck. For how many miles did he drive the truck?
Answer:
146 miles
Step-by-step explanation:
hope this is correct
write an inequality whose solutions are represented by the shaded part of the graph
Answer:
x > 3
Step-by-step explanation:
pls help!!! i will give brainliest!!!!! :D
Answer:
31 cm
Step-by-step explanation:
the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41
on a shopping trip, Gina buys two books priced $4.99 and $12.99. She also buys 2 notebooks, 2 packs of pencils, and 3 composition books. The books are on sale for 10% off the list price and school supplies are 15% off. The store charges 6.5% sales tax. Item Cost ($) Notebooks 2.88 Composition Books 0.79 Pencil Packs 1.89
The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31
Given:
cost of two books = $4.99 + $12.99
= $17.98
Amount paid for books = $17.98 - 10% of $17.98
= 17.98 - 0.1 × 17.98
= 17.98 - 1.798
= $16.182
Cost of notebooks = quantity × price
= 2 × $2.88
= $5.76
cost of composition books = quantity × price
= 3 × $0.79
= $2.37
cost of pencil packs = quantity × price
= 2 × $1.89
= $3.78
Total cost = $5.76 + $2.37 + $3.78
= $11.91
Amount paid for school supplies = $11.91 - 15% of $11.91
= 11.91 - 0.15 × 11.91
= 11.91 - 1.7865
= $10.1235
Therefore,
total cost of all items Gina bought = $16.182 + $10.1235
= $26.3055
Approximately, $26.31
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k= 100- 4n
what is n if k is 99
Answer:
1/4 or 0.25Step-by-step explanation:
k= 100- 4n
what is n if k is 99
-------
99 = 100 - 4n
4n = 100 - 99
4n = 1
n = 1/4 or 0.25
--------------check
99 = 100 - 4 × 1/4
99 = 100 - 1
99 = 99
the answer is good
Can someone help me plz!!
Answer:
MRT or TRM
Step-by-step explanation:
RT and MR meet at point R. Point R must be included in the final angle as well as the endpoints of RT and MR. The resulting angle is thus MRT, or TRM
The inequality 2x+1>15 will be true when
1. x=7
2. x=0
3. x=10
4. x=5
Answer:
3.) x = 10
Step-by-step explanation:
Let’s plug it into our equation
2(10) + 1 = 21
21 is greater than 15
Please help I have 15 minutes left for my assessment. Thank you!
Answer:
57kg
Step-by-step explanation:
We need to find the length of each piece of metal:
We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.
So we have four lengths - 6m, 6m, 8m, and 8m
To find the last length, we need to use pythagoras theory
a² + b² = c² where c is the slanted side, or the diagonal
6² + 8² = c²
36 + 64 = 100
c² = 100
c = √100 = 10
So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m
If:
1m = 1.5kg
38m = ?kg
We have to multiply both sides by 38
1m × 38 = 38m
1.5kg × 38 = 57kg
So, the total weight of metal in the frame is 57kg
a model of a ship is made to a scale of 1:200
the surface area of the model is 7500 cm²
calculate the surface area of the ship, giving your answer in square meters
The surface area of the ship is 1500000 cm²
Scaling is used to either increase or decrease the size of a figure so as to create an image.
Given a scale of 1:200, this means that it is a scaling down (decrease in size) of the ship to create a model.
The surface area of the model is 7500 cm², hence that of the ship is:
Surface area of ship * (1 : 200) = surface area of model
Surface area of ship = surface area of model * 200 = 7500 * 200 = 1500000 cm²
The surface area of the ship is 1500000 cm²
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The temperature dropped 4°C every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
-24 degrees Celsius
Step-by-step explanation:
6 x -4 = -24
Answer:
24 degrees.
Step-by-step explanation:
6 * 4 = 24.
if you take 3 apples from 10 apples how many do you have
Answer:
7
Step-by-step explanation:
Answer:
You will have exact seven.
A shipment of sugar fills 2 4/5 containers. If each container holds 2 3/7 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
6 4/5 tonsStep-by-step explanation:
Multiply the number of containers by the amount in each to find the total amount of sugar:
2 4/5 * 2 3/7 = 14/5 * 17/7 = 2*17/5 =34/5 = 6 4/5Pls help me !!!!!! With question number one
1. Angelica is five years less than double Jaheim’s age . Jaheim is 14years old . How many years old is Angelica
Answer:
23
Step-by-step explanation:
14x2=28-5=23
Answer:
23
Step-by-step explanation:
add 14+14= 28-5=23
Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?
Answer:
m^2+11m-11.
Step-by-step explanation:
Answer: When x=10 , both expressions have a value of 33. James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x.
Step-by-step explanation:
Hope this helps!
7.836 - 937 + 2.846 =.....
Answer:
Hi There,
Your answer is -926.318
Nick has two pet rabbits. He's Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.
If Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit, how much does his Flemish giant rabbit weigh?
Taking into account the definition of a system of linear equations, the weigh of Flemish giant rabbit is 13.75 pounds.
System of linear equationsA system of linear equations is a set of two or more first degree equations, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, a solution to a system of two or more linear equations is a solution that simultaneously satisfies all the equations in the system
Flemish giant rabbit weighIn this case, a system of linear equations must be proposed taking into account that:
"f" is the Flemish giant rabbit weigh."h" is the Holland lop rabbit weigh.You know:
Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit.Nick's Flemish giant rabbit weighs 11 more pounds than he's Holland lop rabbit.The system of equations to be solved is
f= 5×h
f= h +11
There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, substituting the first equation in the second you get:
5×h= h + 11
Solving:
5×h- h= 11
4×h= 11
h= 11÷ 4
h= 2.75
Substituting this value in the first equation of the system of equations:
f= 5×2.75
f= 13.75
Finally, Flemish giant rabbit weighs 13.75 pounds.
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A company orders 28 box lunches from a deli for 204 $.40 if each box lunch cost the same amount what is the unit cost of each box lunch
I need help with this problem
How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notation?
You can _____ numbers written in scientific notation only if their powers of 10 are the same. You can _____ numbers written in scientific notation that have different powers. The laws of exponents are used to combine powers.
Answer:
add or subtractmultiply or divideHope this helps!
Please help!! Will mark brainliest!
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:
-2,-4
0,-4
-1,-2
-1,2
2,2
Step-by-step explanation:
on the left is the x which is domain and on the right is the y which is range so connect the lines and get ur answer
the value of a + b + c for equation 2 Y - x = 7 is
Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:
i need help ahhahahhahahwvwvvee
Answer:
C.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Say we had 2 fractions:
2/4 & 3/6
and we were trying to find out if they were proportional.
An easy way to do this is to divide the numerator of the second fraction by the numerator of the first fraction, then multiply what you get by the denominator of the first fraction. If your final number equals the denominator of the second fraction, then the two fractions are proportional.
Let me demonstrate:
2/4 and 3/6
1. 3 ÷ 2 = 1.5
2. 1.5 × 4 = 6
3. 6 = 6
Therefore, these fractions are proportional.
Let's try another problem:
4/5 and 10/19
1. 10 ÷ 4 = 2.5
2. 2.5 × 5 = 12.5
3. 12.5 ≠ 19
Therefore, these fractions are not proportional.
Hope this helps!