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yuradex [85]
3 years ago
7

Michael and Kathryn bowled together and their combined total score for one game was 425 points. Michael’s score was 70 less than

twice Kathryn’s. What were their scores
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
x-\ Kathryn's\ points\\\\
y-\ Michael's\ points\\\\
 \left \{ {{x+y=425} \atop {y+70=2x\ \ | subtract\ 70}} \right. \\\\  \left \{ {{x+y=425} \atop {y=2x-70}} \right. \\ substitution\ method\\\\
x+2x-70=425\\\\
3x-70=425\ \ | add\ 70\\\\
3x=495\ \ \ | divide\ by\ 3\\\\
x=165\\\\
y=2x-70=2*165-70=330-70=260\\\\
Kathryn\ scored\ 165\ points\ and\ Michael\ 260
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sattari [20]
Area= length*width
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So the length will be 23 cm.
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3 years ago
224 is what % of 640?
Lena [83]
<span>35%
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224/640 = 0.35.

Multiply the dividend by 100 to get a percent.

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3 0
3 years ago
Need help please and thank you​
sladkih [1.3K]

Answer:

thanks

Step-by-step explanation:

5 0
3 years ago
The volume of a cube is 343 cubic yards what is the length of the cube
enyata [817]
Volume= length^3\\\\ 343=length^3\ \ \ | make\ cube \ root\\\\length=\sqrt[3]{343}\\\\ length=7yards\\\\ Length\ of\ cube\ is \ 7\ yards.
3 0
3 years ago
The function below is defined for all x except one value of x. If possible, define f(x) at the exceptional point in a way contin
Nataliya [291]

Answer:

F(x=11)= (-31)

Step-by-step explanation:

for the function

F(x) = x² - 13*x + 22/x-11 , for x ≠ 11

then in order to define F(x=11) so  F is continuous (see Note below) . By definition of continuity of a function:

F(x) is continuous in x=11 if lim F(x)=F(a) when x→a

then

when x→a , lim x² - 13x + 22/x-11 = lim 11² - 13*11 + 22/11 -11 = -3*11 + 2 = -31 = F(x=11)

then

F(x=11)= (-31)

Note:

F is not continuous in all x since

when x→0⁺ ,  lim (0⁺) ² - 13*0⁺  + 22/0⁺ -11 = (+∞)

when x→0⁻,  lim (0⁻) ² - 13*0⁻  + 22/0⁻ -11 = (-∞)

then

limit F(x) , when x→0 does not exist since the limit from the left and from the right do not converge → since the limit does not exist , the function is not continuous  in x=0

5 0
4 years ago
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