Answer:
Your solution is (-11/6, 7/6).
Step-by-step explanation:
-2x + 2y = 6
4x + 2y = -5
Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the 2y's a positive by multiplying each term in the equation by -1.
4x + 2y = -5
-1(4x + 2y = -5)
-4x - 2y = 5
Now we have a new equation in our system.
-2x + 2y = 6
-4x - 2y = 5
Now eliminate by performing each action given by the terms.
-2x + 2y = 6
-4x - 2y = 5
_________
-6x = 11
Divide both sides by -6.
x = 11/-6
Now that we know x, plug it back into one of the original equations to find y.
-2x + 2y = 6
-2(11/-6) + 2y = 6
Multiply.
-22/-6 + 2y = 6
22/6 + 2y = 6
Subtract 22/6 from both sides.
2y = 6 - 22/6
2y = 36/6 - 22/6
2y = 14/6
2y = 7/3
Divide both sides by 2.
y = (7/3)/2
y = 7/6
Your solution is (-11/6, 7/6).
Check your answer by plugging both values into one of the original equations.
4x + 2y = -5
4(-11/6) + 2(7/6) = -5
Multiply.
-44/6 + 14/6 = -5
Add.
-30/6 = -5
Divide.
-5 = -5
Your answer is correct.
Hope this helps!
please help!!! i will mark brainliest!!
Answer:
A. 96
C. 48
D. 24
Step-by-step explanation:
Multiples of 8
8 = 8, 16, 24, 32, 40, 48, 56, and 64, 72, 80, 88, 96, 104,.......
Multiples of 12
12 = 12, 24, 36, 48, 60, 72, 84, 96, 108,........
Common multiples of 8 and 12 = 24, 48, 72 and 96
The correct answers are:
A. 96
C. 48
D. 24
Use a half-angle identity to find the exact value of cos 15º.
Answer:
Step-by-step explanation:
[tex]cos15=cos\frac{30}{2}[/tex] so the angle we will use in our identity is 30 degrees. The formula is
[tex]cos\frac{30}{2}=\sqrt{\frac{1+cos30}{2} }[/tex] which simplifies to
[tex]\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }[/tex] which simplifies to
[tex]\sqrt{\frac{\frac{2+\sqrt{3} }{2} }{2} }[/tex] which simplifies to
[tex]\sqrt{\frac{2+\sqrt{3} }{4} }[/tex] which simplifies, finally, to
[tex]\frac{\sqrt{2+\sqrt{3} } }{2}[/tex], choice a.
Robbert wants to put lights around the edge of his yard.The yard if 40 feet long and 23 feet wide.How many yards of light does he need
Answer:
102.222 square yards of light.
Step-by-step explanation:
From the above question, the yard had the dimensions 40 feet long and 23 feet wide.
Hence, the yard is rectangular in shape.
We have to find the area of the yard.
The formula is given as:
Area = Length × Width
= 40 feet × 23 feet
= 920 square feet
Converting to yards
1 square foot = 0.111 square yard
920 square feet = x
Cross Multiply
x = 920 × 0.111 square yard
x = 102.222 square yards.
Therefore, Robbert would need 102.222 square yards of light.
How to find the area using the net of a pyramid
Answer: u have to surond the permiter with people you like to help you with it
Step-by-step explanation:
Saima can blow 15balloons in 20 min sara can blow 18 balloons in 25 minutes ahamd can blow 16 balloons in 21 minutes bilal can blow 12 ballons in 23 min who can blow balloons at fastest rate
Answer:
so its means that ahmad can blow balloons at fastest rate...
Step-by-step explanation:
Saima:
15b = 20min
1 b = 1 min 20sec
Sarah;
18b = 25min
1 b = 1 min 23sec
ahmad;
16b = 21min
1 b = 1 min 19sec
Bilal;
12b = 23min
1 b = 1 min 55 sec
HOPE ITS HELPSS......
Find the largest share when $650 is divided in the ratio 5:6:2
Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared
Answer:
13 ug
Step-by-step explanation:
Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared
The diagram shows two rectangles which have the same area . Find the value of y.
Answer:
y = 4
Step-by-step explanation:
Since the 2 rectangles have the same area, then
12.5 × 2y = 5 × 20
25y = 100 ( divide both sides by 25 )
y = 4
Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?
Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
It was 7 °F outside. The temperature dropped 16º.
How cold did it get?
A. -23 °F
B. -16 °F
C. -9°F
D. 9°F
E. 23 °F
Patrice, por sí solo, puede pintar cuatro cuartos en 10 horas. Si contrata a April para que le ayude, pueden hacer el mismo trabajo en 6 horas. ¿Cuánto tiempo le tomará a April pintar cuatro cuartos si trabaja sola?
Answer:
15 horas
Step-by-step explanation:
Representemos:
El número de horas que Patrice puede pintar solo = P = 10 horas
El número de horas que April puede pintar por su cuenta = A = X horas
El número total de horas que pueden trabajar juntos para hacer el mismo trabajo = T = 6
Por tanto, nuestra fórmula es:
1 / P + 1 / A = 1 / T
1/10 + 1 / A = 1/6
1 / A = 1/6 -1/10
Denominador común más bajo = 30
1 / A = 5 - 3/30
1 / A = 2/30
1 / A = 1/15
Multiplicar cruzada
A × 1 = 15 × 1
A = 15 horas
Por lo tanto, la cantidad de horas que April puede pintar cuatro habitaciones si trabaja sola es de 15 horas.
A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to the amount of shots she saved ?
========================================================
Explanation:
She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.
That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5
Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.
Find five rational numbers between 3/5 and 4/5
Answer: 19/30, 20/30, 21/30, 22/30, 23/30.
A total of 394 people got on a boat that already had 108 people on it.
what is the best estimate for the total number of people on the boat?
Answer:
502
Step-by-step explanation:
394+108
Answer:
500 is my best answer
Step-by-step explanation:
someone pls help me. pls only reply if you know and no links, if u reply and u don’t know and u just spam i’ll report ur comment
find the surface area:
Find the area of the triangle.
(Please help)
Answer:
That is one big M
Step-by-step explanation:
Other than that I cannot help with this question because of the picture that was taken was enlarged too much!
Answer:
I can't see the numbers
Step-by-step explanation:
I can't see the numbers for me to find the area can you pull back the camera back then take another picture .
Evaluate if a =4&b= 7
28 + b +7
Plss help
Answer:
a=4
Step-by-step explanation:
pls give me harts thank u!
Which angle has its terminal side on the negative x-axis?
Answer:
π radians
Step-by-step explanation:
*view photo*
Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage
Answer:
20% loss
Step-by-step explanation:
(32000-40000)/40000 * 100 = -20%
Answer:
Step-by-step explanation:
CP of a TV=40000
Sp of a TV=32000
here CP is greater than Sp so there is loss
loss=CP-SP
=40000-32000
=8000
loss%=loss amount/cp*100%
=8000/40000*100
=800000/40000
=20%
Does the graph represent a function??
Answer:
No
Step-by-step explanation:
If it was a full line, then it would represent a function.
Please help me dunduendjenbe!!! I beg u
Answer:
y = 4/3x - 2, B is your answer
Step-by-step explanation:
Y intercept is the number next to slope(b).
The co efficient of x will be your slope so therefore the co efficient of x will be 4/3
y is always there because it will always be the dependent variable on the left side.
Answer:
the answer is B
Step-by-step explanation:
Y=(slope)x+y-intercept/y=mx+b
plug in the slope then the Yy intercept
1/4 divided by 3 = ___
Answer:
[tex]\frac{1}{4} \div 3 = \frac{\frac{1}{4} }{3} = \frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
1/4 / 3/1
1*1/4*3
= 1/12
Help ASAP pls help me I need help like ASAP im being timed
Answer:
115
Step-by-step explanation:
Answer:
155
Step-by-step explanation:
Have a good day :)
The graph of a function is a line passes through points (6,20) and (8,42). What is the equation of this function?
Answer:
The equation would be y=mx+b so plugging in the slope which is, 11, so y=11x+b WE DO NOT KNOW THE Y INTERCEPT
Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: There are 60 minutes in 1 hour. To find the unit rate divide the area of the lawn by the amount of time it takes Dan to mow the whole lawn.
Answer:
No solution is possible from the information given.
The area of the lawn is unknown.
Step-by-step explanation:
What is 45 quarts= ___ pounds
Answer:
93.8858 pounds
How to convert:
1 pound (lb) = 0.479305709 quart (qt). Pound (lb) is a unit of Weight used in Standard system. Quart (qt) is a unit of Volume used in Cooking system. Please note this is weight to volume conversion, this conversion is valid only for pure water at temperature 4 °C.
1 US qt = 0.946352946 liters = 0.946352946 kg of pure water at temperature 4 °C.
US oz = 28.349523125 g
US fl oz = 29.5735295625 ml (milliliters) = 29.5735295625 g (grams) of pure water at temperature 4 °C.
US cup = 8 fl oz = 236.5882365 ml (milliliters) = 236.5882365 g (grams) of pure water at temperature 4 °C.
The US liquid quart equals to 0.946352946 liters.
Answer:
45 quarts is equal to exactly 93.8858 pounds.
Step-by-step explanation:
1 quart (qt) = 2.086351113 pound (lb).
Multiply 2.086351113 pounds by 45 to get your answer.
what is 2/8 divided by 3/4
Answer:
1/3
Step-by-step explanation:
2/8 ÷ 3/4
Copy dot flip
2/8 * 4/3
Simplify
2*4 / (8*3)
8/24
1/3
Answer:
0.333333333333 should be the answer, hope this helps!
Please help so I don’t fail!!
Solve each equation by completing the square
1)b^2-4b-16=-7
2) 5v^2+20v-54=6
Answer:
b = 2 + sqrt13, 2 - sqrt13
v = 2, - 6
Sorry if you need to show work it's really hard to type it out since I don't have the symbols
#1 How much will the seed cost to seed the grass area above? The seed
costs $23 for a 10 lbs bag that covers 12 feet with a 9% sales tax. *
Answer:
Step-by-step explanation: