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ivann1987 [24]
3 years ago
7

The sum of two numbers is 80 If four times the smaller number is subtracted from the larger number, the result is 10. Find the t

wo numbers. The larger number is? The smaller number is?
Mathematics
2 answers:
umka21 [38]3 years ago
6 0
Let x be the smallest number & y the largest:

x + y  = 80
y - 4x = 10
Solving this equation gives :
x =14 & y = 66
timama [110]3 years ago
3 0
This can be solved using a system of equations. 
\left \{ {{x+y=80} \atop {x-4y=10} \right. 

Subtract y from both sides.
x=80-y
Substitute:
80-y-4y=80-5y=10
Subtract 80 from both sides:
5y=70
Divide both sides by 5:
y= \frac{70}{5} =14
Substitute.
x=80-14=66
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The cost of 11 dvds and 7 cds is 172.50 and the cost of 10 dvds and 7 cds is 155.80. How much does a cd and dvd cost?
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Answer:

The question has a mistake

Step-by-step explanation:

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10d+7c= 155.8

By subtraction;

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11×16.7+7c=172.5

7c = 172.5-11*16.7

You will get a negative answer yet the cost cannot be negative.

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Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indica
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Answer:

a)x₁  = 24  business owners plan to provide a gift this year

b)  p-value = 0,0017

c)p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion  p₁  = 30 %   p₁ = 0,3

Then   x₁ = 80*0,3

x₁  = 24  business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis                    H₀          p₁  =  0,45

Alternative Hypothesis        Hₐ          p₁  <  0,45

p₁  =  0,3   then  q₁  =  1  -  0,3    q₁ =  0,7

z(s)  = ( p₁  -  0,45 )/ √p₁* q₁ / n

z(s)  =  -  0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find  p-value = 0,0017

c) If  α = 0,05   ( significance level )  as

p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

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3 years ago
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