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m_a_m_a [10]
3 years ago
12

5x - 7y = 10 find the equation for y

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0
X=2+7/5y
I'm not exactly sure if that's right
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Brianna has $50 in her bank account. She pays $6 to attend her school football game. She wants to buy hotdogs for her and her fr
sattari [20]

Answer:

12

Step-by-step explanation:

$50-6 (ticket to game) = 44 - $20 (the balance she wants to have left) = $24.

$24/2=12 (amount of hotdogs she can buy)

6 0
2 years ago
Find the value of 1/2 divide by 1/3
Hunter-Best [27]

Answer:

1.5

Step-by-step explanation:

its 1.5 not 1/5

5 0
3 years ago
Read 2 more answers
The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c
denpristay [2]
Fixed price costs
Crew salaries            350
fuel                              120
overheads                  170
Total fixed cost:          640

Variable costs per passenger
refreshments           $ 6.50
refund                       $ 3.64
total variable cost:   10.14  

Sales income
<span>Average ticket      $ 36 .40

</span><span>Break-even point =   <u>                                 (fixed costs)                           </u>
                                    (income per passenger – costs per passenger) </span><span>

</span>
Break even =  640 / (36.40-10.14) = 640 / 26.26 = 24.37


3 0
3 years ago
Ab-ac=2 for a how do I do this
bazaltina [42]
Solve for A

ab - ac = 2
First, you need to factorize
a(b - c) = 2
a= 2/(b -c)
 
5 0
2 years ago
Please answer only 12, 16 and 19
Helga [31]

Step-by-step explanation:

Q12.

I checked immediately : 33 m, 44 m and 55 m create a right-angled triangle, as they satisfy the Pythagoras rule :

c ² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle) and longer than the legs, and a and b being the legs of the triangle.

55² = 33² + 44²

3025 = 1089 + 1936 = 3025

correct.

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle we can use the right angle situation, the legs are acting as baseline and height (due to the 90° angle between them).

and so the area of the triangle here is

A = 33×44/2 = 33×22 = 726 m²

as 1 m² costs 1.20 per m², we have a total costs

1.20 × 726 = 871.2

for the second part of the question :

again the area of a triangle is

baseline × height / 2

baseline is tripled and height is doubled.

that means compared to the original sizes the are is now ;

(baseline × 3) × (height × 2) / 2 =

= 3×2 × baseline × height / 2 = 6 × baseline × height / 2

the area of the new triangle is their 6 time the area of the original triangle.

Q16

5th root of (243a¹⁰b⁵c¹⁰)

remember, when we have exponent of exponent, we multiply the exponents. and an nth root is nothing else than the exponent 1/n.

and the higher level exponent has to be applied to all factors of the lower level exponent.

so, we have

243^(1/5) × a^(10 × 1/5) × b^(5 × 1/5) × c^(10 × 1/5) =

3 × a² × b¹ × c² = 3a²bc²

Q19.

it is a right-angled triangle, and it is isoceles. that means both legs (they contain between themselves the 90° angle) are equally long.

the area is again

baseline × height / 2.

and again, the legs are acting as baseline and height.

so,

8 = leg × leg / 2 = leg²/2

leg² = 16

leg = 4 cm

both legs are 4 cm.

now we use Pythagoras to get the missing side (Hypotenuse) :

Hypotenuse² = leg² + leg² = 16 + 16 = 32 = 2×16

Hypotenuse = sqrt(2×16) = 4×sqrt(2) cm

for the second part of the question :

this means

one leg of the triangle is 8 cm. for the Hypotenuse we have 10 cm.

now we can apply Pythagoras again :

10² = 8² + leg²

100 = 64 + leg²

36 = leg²

leg = 6 cm

so its area is

A = 6 × 8 / 2 = 6 × 4 = 24 cm²

4 0
1 year ago
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