Answer:
(12, - 1 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 8 → (1)
2x - 5y = 29 → (2)
Rearrange (1), expressing x in terms of y by subtracting 4y from both sides
x = 8 - 4y → (3)
Substitute x = 8 - 4y into (2)
2(8 - 4y) - 5y = 29 ← distribute and simplify left side
16 - 8y - 5y = 29
16 - 13y = 29 ( subtract 16 from both sides )
- 13y = 13 ( divide both sides by - 13 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 8 - 4(- 1) = 8 + 4 = 12
solution is (12, - 1 )
[tex]x = 8 - 4y \: \: eqn \: 1[/tex]
now in eqn 2
[tex]2(8 - 4y) - 5y = 29[/tex]
[tex]16 - 8y - 5y = 29[/tex]
[tex]16 - 13y = 29[/tex]
[tex]16 - 29 = 13y[/tex]
[tex]13 = 13y[/tex]
[tex] \frac{13}{13} = y[/tex]
[tex]y = 1[/tex]
Now in eqn 1
[tex]x = 8 - 4y[/tex]
[tex]x = 8 - 4 \times 1[/tex]
[tex]x = 8 - 4[/tex]
[tex]x = 4[/tex]
therefore x=4 & y=1 answer
Write the equation of a circle with center (0,−6) and radius 4 in general form.
Answer:
x^2 + (y + 6)^2 = 4^2
Step-by-step explanation:
The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
If the center is at (0, -6) and the radius is 4, then the desired equation is
(x - 0)^2 + (y + 6)^2 = 4^2, or just
x^2 + (y + 6)^2 = 4^2
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?
A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.
Answer:
B
Step-by-step explanation:
This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.
Answer:
B
Step-by-step explanation:
Hope this helps have a great day :)
In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?
(6,4)
(7,7)
(2,12)
(0,1)
The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.
How to determine the possible outlier
In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]
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EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
A circle has a diameter of 32 units. What is the area of the circle to the nearest hundredth of a square
Answer:
804.25 units²
Step-by-step explanation:
radius = diameter / 2
Area of a circle = πr²
radius = 32/2 = 16 cm
Area = (16)²π
Area = 256π = 804.247719
Area ≈ 804.25 units²
You buy a shirt on sale for $20. This
sale price is 20% off the original price.
How much was the original price of
the shirt?
Answer:
$25
Step-by-step explanation:
Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25
A line passes through the points (0, 3) and (10, 2). What is its equation in slope-intercept form?
Answer:
1. Find slope.
slope(m)
[tex] = \frac{y2 - y1}{x2 - x1} \\ [/tex]
[tex] \frac{2 - 3}{10 - 0} = \frac{ - 1}{10} [/tex]
2. Substitute any point. (either (0,3) or (10,2) to find the y-intercept (b)
y=mx+b
3=-1/10+b
b=31/10 or 3.1
so the final answer is
y= - 1/10 + 31/10 or y= - 0.1 + 3.1
Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4
Answer:
p = 1
Step-by-step explanation:
4 - 5(p + 3/5) = -4
Find P
4 - 5(p + 3/5) = -4
4 - 5p -15/5 = -4
4 - 5p - 3 = -4
-5p + 1 = -4
-5p = -4 - 1
-5p = -5
p = -5/-5
p = 1
Check:
4 - 5(p + 3/5) = -4
4 - 5(1 + 3/5) = -4
4 - 5 - 15/5 = -4
4 - 5 - 3 = -4
4 - 8 = -4
-4 = -4
Answer:
ITS HELLA 1/5 NOT 1
Step-by-step explanation:
>:(
pls help! right answer = gets brainiest
Answer:
2,4 because they are hitting each other at that point
Answer:
D
Step-by-step explanation:
The solution is where the the red and blue line intersect.
Describe what is shown in the graph below
Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars
I WILL MARK YOU BRAINLIEST JUST PLZ HURRY What is the rule to find the value of the missing term in the sequence in the table at the right? justify your answer
Answer:
(x-1)x4+1
each value is increasing by exactly 4 for each step shown, starting with 1.
so, 2 becomes
(2-1)= 1
1x4= 4
4+1=5
an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation
Answer:
Step-by-step explanation:
A contest gives out prizes for first, second, and third place. First place is $500 more than double third place. Second place is $400 less than first place. All together, $1850 is given out in prizes. How much is each prize worth?
9514 1404 393
Answer:
$1000$600$250Step-by-step explanation:
Let t represent the third-place prize value. Then the first place prize has a value of 2t+500, and the second-place prize is 2t+100. The total value of the three prizes is ...
t +(2t+500) +(2t+100) = 1850
5t +600 = 1850
5t = 1250
t = 250 . . . . . . . . . . . third place prize
2t +500 = 1000 . . . . first place prize
1000 -400 = 600 . . .second place prize
The prizes for 1st, 2nd, and 3rd places are $1000, $600, and $250, respectively.
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
Answer:
23 gallons of water
Step-by-step explanation:
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
This is calculated as:
33.9 % × 67.8 gallons of water
= 0.339 × 67.8 gallons of water
= 22.9842 gallons of water
Approximately = 23 gallons of water
Therefore, 23 gallons of water are used everyday for cooking
The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)
Answer:
The walkway around the pool makes the entire outer dimensions (outer border)
x+9+2x3=x+15 and x+8+2x3
hope this helps! could i get brainliest plz?
The expressions to represent the dimensions of the outside border of the walkway is (x + 12) meters for the length and (x + 11) meters for the width.
Given area : [tex]x^2 + 17x + 72[/tex]
The factored form of the polynomial is:
[tex]x^2 + 17x + 72[/tex] = [tex]x^2 + 8x+9x+72[/tex]
= x(x+8)+9(x + 8)
=(x + 9)(x + 8)
So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.
The length of the walkway = 3 meters wide
So, the length is added to each side of the pool.
Dimensions of the outside border of the walkway:
Length: (x + 9) + 3 = x + 12 meters
Width: (x + 8) + 3 = x + 11 meters
Therefore, the dimensions of the outside border of the walkway are
(x + 12) meters for the length and (x + 11) meters for the width.
Learn more about polynomials here:
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Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A
Answer:
Approximately 10.9
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
Plug in b (5) and c (12)
[tex]a^2+5^2=12^2\\a^2+25=144[/tex]
Subtract 25 from both sides
[tex]a^2+25-25=144-25\\a^2=119[/tex]
Take the square root of both sides
[tex]\sqrt{a^2} =\sqrt{119}[/tex]
a = approximately 10.9
I hope this helps!
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.
Ok, 20 points for this one
Answer:
x = 7Step-by-step explanation:
2 angles are added to result in = 180°
therefore
180 = 97 - 3x + 69 + 5x
180 = 166 + 2x
2x = 180 - 166
2x = 14
x = 14 ÷ 2
x = 7 ✅The value of x = 7
______________
#IndonesianPride
- kexcvi
Solve for the variable in 6/18 = x/36
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67
please help________^
Answer:
first answer
Step-by-step explanation:
You can buy 3 CDs for $36.00. Assuming these rates are proportional, what would be the cost of 5 CDs?
Answer:
$60
Step-by-step explanation:
36 / 3 = $12 for a single CD
12 * 5 = $60 for 5 CDs
Enter the correct answer in the box
The number of cups of sports drink that can be filled from a cooler varies inversely with the capacity of each cup. If each cup holds
6 ounces, 128 cups can be filled.
Write an equation that can be used to find the number of cups, c, of sizes ounces that can be filled from the cooler.
Answer:
the equation should be c=768/s or c s=768.
Step-by-step explanation:
This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.
To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.
cs=k
(128)x(6)=k
768=k
Using 768 for k, the general equation is c=768/s or cs=768.
The equation for the number of cups for a specific size can be written as c = 768/x.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The amount of drinks carried by each cup is 6 ounces.
And, the total number of cups are 128.
Then,the total amount of drink is 128 × 6 = 768 ounces.
Suppose the number of cups be c.
And, the size of each cup be x.
The following equation can be written for the number of cups as,
c = 768/x
Hence, the equation that describes the number of cups for the given case is c = 768/x.
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My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Please help RIGHT NOW PLEASE HELP NOW
1. it describes what the cost would be for two medium lattes and one small latte all together.
2. it would be the first one which is 2x + y = 7.15
Step-by-step explanation:
Solve the equation 5(x+6)+11=25−3x
Answer:
x=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
5(x+6)+11=25−3x
Step 1: Simplify both sides of the equation.
5(x+6)+11=25−3x
(5)(x)+(5)(6)+11=25+−3x(Distribute)
5x+30+11=25+−3x
(5x)+(30+11)=−3x+25(Combine Like Terms)
5x+41=−3x+25
5x+41=−3x+25
Step 2: Add 3x to both sides.
5x+41+3x=−3x+25+3x
8x+41=25
Step 3: Subtract 41 from both sides.
8x+41−41=25−41
8x=−16
Step 4: Divide both sides by 8.
8x
8
=
−16
8
help meeeeeeeeee T^T
Answer:
C) 120
Step-by-step explanation:
Use three times five and minus one times
you will get 12 and multiply by 10
Brainliest for correct answer
Answer:
a) b
b) d
Step-by-step explanation: