Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10
Solve the system by substitution y=2x-9, y=-2x+15
Answer:
This system has no solutions
Step-by-step explanation:
y=2x-9,
y=-2x+15
by substitution:
2x - 9 = 2x + 15
2x - 2x = 15 + 9
0 ≠ 24
This system has no solutions
hi please help i’ll give brainliest if you give a correct answer please show your reasoning
Answer:
0.088
22x4 is 88 and add the 2 zeros
Step-by-step explanation:
Answer:
0.088.
Step-by-step explanation:
0.22 * 0.4
Now 22 * 4 = 88 and
there are 3 numbers after the decimal points in 0.22 and 0.4 so there has to be 3 numbers after the decimal point in the answer, so it's:
0.088.
in which quadrant is the orderd pair (2,-5)
Answer:
4
(+, -) coordinates
The area of a rectangle is 300 ft2. The width of the rectangle is 8 ft less
than the length. What are the dimensions of the rectangle?
Answer:
Step-by-step explanation:
Factor x2 +8x +16, so (x+4)2 = 100
Solve algebraically the simultaneous equations
y = 2x2 – 3x - 10
2x - y = -2
Answer:
(-3/2, -1) and (4, 10)
Step-by-step explanation:
Given the simultaneous equations
y = 2x^2 – 3x - 10 ... 1
2x - y = -2 .... 2
From equation2;
-y = -2-2x
y = 2x+2 ..... 3
Substitute 3 into 1
Recall y = 2x^2 – 3x - 10
2x+2 = 2x^2 – 3x - 10
Collect like terms
2x^2 – 3x - 10 - 2x -2 = 0
2x^2 – 5x - 12 = 0
2x^2 – 8x+3x - 12 = 0
2x(x-4)+3(x-4) = 0
(2x+3)(x-4) = 0
2x+3 = 0 and x-4 = 0
2x = -3 and x = 4
x = -3/2 and x = 4
Recall that
y = 2x+2
when x = -3/2
y = 2(-3/2) + 2
y = -3+2
y = -1
when x = 4
y = 2(4)+2
y = 8+2
y = 10
Hence the solutions are (-3/2, -1) and (4, 10)
does a rectangle have both pairs of opposite sides that are perallel.
Answer:
Yes
Step-by-step explanation:
If they do not run into each other then yes
Answer:
ya it has 2 pairs of parallel sides.
Step-by-step explanation:
£6000 is divided between Adam, Ben and
Chris in the ratio 1:3:4. How much does Ben receive?
Answer:
Chris gets £3000
Step-by-step explanation:
A : B : C
1 : 3 : 4 = 8 (add all the parts together)
£6000 ÷ 8 = 750
so the multiplier is x 750
1 : 3 : 4
↩ x 750
750 : 2250 : 3000
Chris gets £3000
Delia went to the market to buy 4 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 bill and received $3.67 as change. She paid $1.29 in taxes for the fruit. What was the cost for one pound of sliced fruit before taxes?
Answer:
$4.57. Hope this helps :)
Step-by-step explanation:
20+5=25
then you do
25-3.67= $21.33
you then divide that by the number of pounds she bought.
21.33/4= 5.3325
round that to the hundreths place and you get $5.33
so she paid $5.33 for a pound
Answer:
$4.74 per pound
Step-by-step explanation:
((20 + 5) – 3.67) / 4.5 = (25 – 3.67) / 4.5 =
(21.33) / 4.5 = 4.74
_______________________________
I've seen this same problem before, it should be 4.5 pounds.
I didn't get it :( so help me
Answer:
[tex]\huge\red{\boxed{\blue{\boxed{\green{\boxed{13\: feet}}}}}}[/tex]Step-by-step explanation:
to understand this:you need to know about:quadratic equationsolving quadraticsPEMDAStips and formulas:area of rectangle=l×wlet's solve:[tex]step - 1 : define[/tex]
[tex](x + 8)( x + 13) = 234[/tex]
[tex]step - 2 : slove[/tex]
[tex] \text{simplify} : \\ x ^{2} + 21x + 104 = 234 [/tex][tex] \text{cancel \:234 \: from \: both \: sides} : \\ {x}^{2} + 21x + 104 - 234 = 234 - 234 \\ {x}^{2} + 21x - 130 = 0[/tex][tex] \text{rewrite \: 21x} : \\ {x}^{2} + 26x - 5x + 130 = 0[/tex][tex] \text{factor\: out \: x} \: and \: - \text{5 \: respectively}: \\ {x}(x + 26) - 5(x + 26) = 0 [/tex][tex] \text{factor \: out \: x - 5} : \\ (x - 5)(x + 26) = 0[/tex][tex] x_{1} = 5 \\ x_{2} = - 26[/tex][tex] \therefore \: x = 5 \\ and \: the\: lenth \: of \: the \: rectangle \: is \: 5 + 8 = 13[/tex]
please explain for me how to do this
if the measure of arc WZX is 262 what is the measure of angle XWY?
Answer:
Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*
Step-by-step explanation:
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solutions on a number line. 2(5y-7) > -24 Solve the inequality for y. Select the correct choice below and fill in the answer box to complete your choice.
Please solve ASAP- Reward is 25 points
Answer:
y> -1
Step-by-step explanation:
2(5y-7) > -24
Then use the Distributive Property which then eqauls to this: 10y - 14 > -24
add 14 to both sides: 10y > -10
divide by 10: y> -1
Given the following 30-60-90 triangle , find the value of x and y Round to the nearest tenth x = 5.2 X = 6 Y = 6 Y = 5.2
Step-by-step explanation:
tan30° = Opposite/Adjacent = 3/x.
=> 3/x = √3/3, x = 3√3 = 5.2.
sin30° = Opposite/Hypotenuse = 3/y.
=> 3/y = 1/2, y = 6.
The correct answer is the 1st and 3rd options.
Answer:
[tex] \huge \boxed{ \boxed{ \sf \: x = 5.2 \atop\sf y = 6}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex] \theta = {30}^{o} [/tex]opp:3to find:adjacent (x)hypotenuse (y)tips and formulas:[tex] \tan( {30}^{o} ) = \frac{ \sqrt{3} }{3} [/tex]tan(a)=opp/adjsin(a)=opp/hypo[tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]let's solve:according to the question
[tex] \tan( {30}^{o} ) = \frac{3}{x} [/tex]
[tex] \frac{ \sqrt{3} }{3} = \frac{3}{x} \\ x\sqrt{3} = 9 \\ x = \frac{9}{ \sqrt{3} } \\ x = 3\sqrt{3} \\ x = 5.2[/tex]
according to the question
[tex] \sin( {30}^{o} ) = \frac{3}{y} [/tex]
[tex] \frac{1}{2} = \frac{3}{y} [/tex]
[tex]y = 6[/tex]
IF YOU GET THE RIGHT ANSWER I WILL MAKE YOU BRAINLIEST
Renee bought 7 potatoes at the supermarket. The shortest diameter of each, in centimeters, is shown below. 2,3,,4,4 6,6,7 After Renee used one potato to make dinner, the median diameter of the remaining potatoes was 5 centimeters. Which of these could be the diameter, in centimeters, of the potato Renee used?
Answer:
2 cm, 3 cm or 4 cmStep-by-step explanation:
Diameters of potatoes:
2, 3, 4, 4, 6, 6, 7Median is:
4 cmAfter one potato used the median becomes 5 cm.
Out of 6 potatoes left, the two in the middle should give 5 cm in average
This is 4 cm and 6 cm.
Renee must have used one of the 4 potatoes on the left: 2 cm, 3 cm or 4 cm
Boots are now $33 with 40% off. What is the original price?
Answer:
85.2$
Step-by-step explanation:
Please help will mark brainliest
Answer: B
Step-by-step explanation: because 2/3 = 0.66666, So 0.66 is greater than 0.6 Hope this helps. pls mark me brainliest :)
Halona walks 1.93 kilometers to a neighbor’s house in 23 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers, y, Halona can walk in x minutes. Then solve your proportion for y.
HELPPPPP
Answer:
y = x(0.083913)
Step-by-step explanation:
easy
hey timmy
If 3/4 of the 1000 tickets were sold, how many tickets were sold?
Answer:
750 tickets were sold
Step-by-step explanation:
Answer:
750, I now give dog
Step-by-step explanation:
help me pls , im stupif
It's alright, you're not stupif. It's just a little bit complicated if it's either your first time doing it or has been a while since you did it last.
r: 16 km. d: 32 km.
The Formula is: C = 2πr. Because it says below the rest of the data that we use 3 for pi, and since we have r, which is 16, the equation becomes C = 2(3)(16).
The answer becomes 96 Kilometers.
someone pls help tysm if you do<33
Answer:
z = 15
Step-by-step explanation:
(I quit brainly because, they deleted 1000+ answers from my account....) however if I want to see answers than I think I have to answer some questions so I'll answer this one.
First we know that y would be 180.
Therefore CD=90
y-cd=90
90=5z+z
90=6z
90=6(15)
90=90
or
90=5z+z
90=6z
/6 /6
15 = z
z = 15
Write in standard form
50000
Answer:
50+0+0+0
Step-by-step explanation:
50+0+0+0 is the answer
Area as a sum:
Area as a Product:
I need the are as a sum Nd a product
Given:
The area model.
To find:
The area as a sum and area as a product.
Solution:
The four terms of the area model are [tex]2x^2,10x, 3x, 15[/tex].
The area as a sum is the sum of all the terms of given area model.
Area as a sum = [tex]2x^2+10x+3x+15[/tex]
= [tex]2x^2+13x+15[/tex]
The area as a product is the factor form of sum of all the terms of given area model.
Area as a product = [tex]2x^2+10x+3x+15[/tex]
= [tex]2x(x+5)+3(x+5)[/tex]
= [tex](x+5)(2x+3)[/tex]
Therefore, the area as a sum is [tex]2x^2+13x+15[/tex] and the area as a product is [tex](x+5)(2x+3)[/tex].
A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50%.
True or False
True
Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails. It doesn't change the percentage of it landing on either side. So in that case, it is true.
Hope this helps!
The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.
What is probability?The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.
here, we have,
we know that,
The higher the likelihood, the more likely it is that the event will take place. A definite occurrence has a chance of 1 while an impossible event has a probability of 0.
we have,
When a coin is flipped the probability of getting a heads and a tail is 50%.
Hence, without the consideration of the flips and the result the theoretical probability that the next coin flip will be heads is 50%.
The statement, A coin is flipped 10 times and lands on heads 8 times. The theoretical probability that the next coin flip will be heads is 50% is True.
Learn more about probability here:
brainly.com/question/30034780
#SPJ2
Write a proportion to find how many points a student needs to score on the test to get the given score. Test worth 50 points; test score of 84%
Answer:
42
Step-by-step explanation:
Test worth = 50
To obtain a grade percent = 84%
Score to obtain = x
Using the expression :
84% of test worth = x
84/100 * 50 = x
0.84 * 50 = x
42 = x
Score to obtain = 42
The diameter of the wheel of a unicycle is 0.7m. Elaine tries to ride the unicycle and manages to go in a straight line for 32 full revolutions before falling off. How far did Elaine manage to cycle in metres? Give your answer rounded to 1 DP.
Answer:
70.4metres
Step-by-step explanation:
Wheel Diameter = 0.7m
Wheel Radius; 0.7m / 2 = 0.35m
For one rotation of the wheel, the distance travelled = circumference of the wheel.
Circumference = 2 x pi x radius
= 2 × π × r
= 2 × π × 0.35
= 2.1991148575 m
Elaine tries to ride the unicycle and manages to go in a straight line for 32 full revolutions
Distance travelled with 32 full revolutions of the wheel = 32 x 2.1991148575 m =
Distance in meters = 70.37167544m
Approximately = 70.4m
Therefore, Elaine managed to cycle 70.4metres
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Answer: lol why so expensive.
Please help. Pleaaseeeeeee :))
Answer:
H:Median
Step-by-step explanation:
We know that Median means the middle, and we know that lines AB or in the middle of the page.
At Panera one bagel costs $0.65. Thirteen bagels cost $7.90. Is the cost of bagels proportional to the number of bagels?
Answer:
no
Step-by-step explanation:
Find an equation for the nth term of the arithmetic sequence.
8,6,4,2,…
Answer:
1st term= 8 2nd term=6 3rd term=4 4th term=2 5th term=0 6th term=-2 7th term=-4 8th term=-6 9th term=-8 10th term=-10
Step-by-step explanation:
hope this helps
Michelle has a round lamp to which she wants to add beads. The diameter is 12.2. How many inches of the beads will she need to go around the lamp
Answer: 38.31 inches
Step-by-step explanation:
We can think on the round lamp as a circle, then the inches of beads that she will need to go around the lamp is equal to the perimeter of the lamp.
The perimeter of a circle of diameter D, is:
Perimeter = pi*D
where pi = 3.14
In this case, we know that the diameter is 12.2 inches.
Replacing that in the above equation we get that the diameter of the lamp is:
Perimeter = 3.14*12.2 in = 38.31 in
Then Michelle needs 38.31 inches of the beads to go around the lamp.
Help plsssssssssssss????
Answer:
y=2/3+11
Step-by-step explanation: