Answer:
The value of y when x = 8 is -8.
Step-by-step explanation:
y = 8 - 2x
y = 8 - 2*8
y = 8 - 16
y = -8
Have a nice day!
If 7x - 4y = 23 and x + y = 8, what is the value of x?
Answer:
x=5
Step-by-step explanation:
7x - 4y = 23 and x + y = 8
Multiply the second equation by 4
4x + 4y = 32
Add this to the first equation
7x - 4y = 23
4x + 4y = 32
------------------------
11x = 55
Divide each side by 11
11x/11 = 55/11
x = 5
Answer:
[tex]\huge\boxed{x=5}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die
Answer:
S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36
E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15
Step-by-step explanation:
thats the answer
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
The button on David's coat has a radius of 4
millimeters. What is the button's diameter?
Answer:
0.013
I think.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
So there are two things that must be remembered.
The radius is half of the diamater. It is the distance from the side of a circle to its center.
The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.
In this case, we know the radius is 4.
The radius is half of the diamamter, or the diamater is two times the radius.
This can be though of as:
2r=d
Or
1/2d=r
So lets plug 4 in for r:
2*4=d = 8=d
1/2d=4 = 2*1/2=4*2 = 1d=8
So using either of these formulas, we find d is equal to 8.
Hope this helps!
decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
Solve for y.
3= y+7 divided by 3
Y=
Answer:
y=2
Step-by-step explanation:
3 = (y+7)/3
Multiply each side by 3
3*3 = (y+7)/3 *3
3*3 = y+7
9 = y+7
Subtract 7 from each side
9-7 = y+7-7
2 =y
Answer:
2 = y
Step-by-step explanation:
3 = y + 7 ÷ 3
multiply both side of equation by 3
3 × 3 = y + 7 ÷ 3 / 3
9 = y + 7
subtract 7 from both side
9 - 7 = y + 7 - 7
2 = y
Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2
Answer:
-10
Step-by-step explanation:
y-5y+2
=3-5 x 3+2
Using the rule of BODMAS
=3-15+2
=3-13
= -10
OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱What’s the answer please.
Answer:
[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]
Explanation :
is down below in the picture
Please give me brainiest!!
What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
What is the image of (10, -12) after a
dilation by a scale factor of centered at the
origin?
Answer:
-5, -3
Step-by-step explanation:
2. The average daily rainfall in London during April was 3.5 mm. How much rain fell during the month?
Answer:
105mm
Step-by-step explanation:
To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall
Number of days in April: 30
Average daily rainfall: 3.5mm
Rainfall during the month = 30 * 3.5 = 105mm
The probability of spinning an odd number, flipping heads and then spinning a 3 is?
===================================================
Work Shown:
A = probability of landing on an odd number
A = 5/9 because there are 5 odd numbers out of 9 total
B = probability of getting heads
B = 1/2
C = landing on 3 on the spinner
C = 1/9
Multiply the values of A,B,C
A*B*C = (5/9)*(1/2)*(1/9) = (5*1*1)/(9*2*9) = 5/162
Note: The fraction 5/162 converts to the approximate decimal 0.03086 which then converts to 3.086%, when rounding to the nearest tenth of a percent we get 3.1%
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
Ratio Question:
Florence washed 3 cars, Caragh washed 4 and Anona washed 5. Anona earned £16 more than Florence. Work out how much each earnt.
Answer:
i dont under stand but i will just ask for help to my father
Step-by-step explanation:
i dont wnow the answer!???
Answer:
Step-by-step explanation:
[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]
[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]
[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]
[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]
[tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]
[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]
Therefore ,
Florence earned $24
Anona earned 24 + 16 = $40
Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32
In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of
what number represents the same amount as 4 tens+0 ones
Find the distance between the points given.
(-3,-4) and (0,0)
Answer: 5 Units
Step-by-step explanation:
8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
8 : 6 <or> 4 : 3
Step-by-step explanation:
8 : 6 <or> 4 : 3
Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.
Factorize the following 3x + 12
Answer:
if this was a equation you would first subtract 12 from the other number then divide it by 3
Answer:
3(x+4)
Step-by-step explanation:
Check 3(x+4), when you use the distributive property, you get 3x + 12, so this is correct. (sorry, I'm really bad at explaining...)
Anyone know the answer to this?
Answer:
Diameter : 22.568 cm
Step-by-step explanation:
Hope this Helps!
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]whats the answer to this
Answer:
its the 2nd one
hope that helps<3
Answer:
jhkkkhj
Step-by-step explanation:
jkjkjkjkj