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dem82 [27]
2 years ago
14

Chris buys 8 more Ninja Turtles than Star Wars action figures. The Ninja Turtles cost $7 each and the Star Wars cost $9 each. Wr

ite an expression to model this situation, using S for Star Wars.
Mathematics
1 answer:
Natalka [10]2 years ago
4 0

Answer:

Total Cost, C=$(16S +56)

Step-by-step explanation:

Chris buys 8 more Ninja Turtles than Star Wars action figures.

Cost of each Ninja Turtle = $7

Cost of each Star Wars  = $9

Let number of Star Wars bought = S

As per question statement, number of Ninja Turtles bought = S+8

Cost of 'S' number of Star Wars = Number of Star Wars bought \times cost of each Star Wars

Total cost of Star Wars bought = S \times 9 or $9S

Similarly, Cost of 'S+8' number of Ninja Turtles = Number of Ninja Turtles bought \times cost of each Ninja Turtles

Total cost of Ninja Turtles bought = (S+8) \times 7 or $(7S +56)

Total Cost of the purchase = Total cost of Star Wars Bought + Total cost of Ninja Turtles bought

Total Cost of the purchase, C = 9S + (7S +56)

\Rightarrow C=\$(16S +56)

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The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out t
Naily [24]

Answer:

Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in

Step-by-step explanation:

We are given;

n = 15

t-value = 1.66

Significance level;α = 0.05

So, DF = n - 1 = 15 - 1 = 14

From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14

Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.

8 0
2 years ago
Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Wr
madreJ [45]

Answer:

  1. x is less than or equal to 24

Step-by-step explanation:

If 1000 divided by 40 equals 25, then you would want to stay under that.

so your next best bet is 24

then we just input our variable and sign

x \leqslant 24

8 0
2 years ago
Vitor is going to guess on all 40 questions of his multiple-choice test. Each question on the test has 5 answer options.
laiz [17]
He should just pick random answers or choose something closest to it.

5 0
2 years ago
Read 2 more answers
The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of
olga_2 [115]
Sub in given values to get 2 equations.

a + b \cos(2*0) = -1 \rightarrow a+b = -1 \\  \\ a+b \cos(2*\frac{\pi}{2}) = 7 \rightarrow a - b = 7

Solve system using elimination.  Add the equations together, cancelling out 'b'
2a = 6 \\  \\ a = 3

Sub into first equation to get value for 'b'
3+b = -1 \\  \\ b = -4
4 0
2 years ago
Angharad had an operation costing $500 She was in hospital for x days The cost of nursing care was $170 for each day she was in
Ket [755]

Answer:

a) Total cost = 500 + 170x

b) 11 days

Step-by-step explanation:

Given:

(a)

Number of days in hospital = x

Cost of operation = $ 500

Cost of nursing per day = $170

∴ Cost of nursing for x days = $ 170x

Therefore, the expression for total cost of her operation and nursing care is given as,

C=500+170x, where C is the total cost.

(b)

Given:

Total cost of operation = C=\$ 2370

Using the expression obtained in (a), we solve for x.

C=500+170x

Plug in 2370 for C and solve for x. This gives,

2370=500+170x\\ 170x=2370-500\\ x=\frac{1870}{170}\\x=11

Therefore, Angharad stayed in hospital for 11 days.

7 0
2 years ago
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