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EastWind [94]
3 years ago
7

I need help pleaseee

Mathematics
1 answer:
slava [35]3 years ago
4 0

9514 1404 393

Answer:

  297 miles

Step-by-step explanation:

The round-trip distance from X to Y is double the one-way distance. The distance from X to Y is 648/2 = 324 miles.

That distance is the sum of distances from X to Z and Z to Y. Then ...

  XZ +ZY = XY

  27 +ZY = 324

  ZY = 297

It is 297 miles from City Z to City Y.

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A large cheese pizza costs $7.50. Each additional topping for the pizza costs $1.35. If the total bill for the pizza Sally order
konstantin123 [22]

Answer: She ordered 4 toppings.

Step-by-step explanation:

Given: Total cost of pizza  = $ 12.90

Cost of pizza =$7.50

Price per topping = $1.35

Let x = Number of toppings,

Total cost of pizza = (Cost of pizza) + (price per topping) × (Number of topping)  

12.90= 7.50+1.35x\\\\\Rightarrow\ 1.35x=12.90-7.50\\\\\Rightarrow\ 1.35x=5.4\\\\\Rightarrow\ x=\dfrac{5.4}{1.35}\\\\\Rightarrow\ x=\dfrac{540}{135}=4

hence, she ordered 4 toppings.

5 0
2 years ago
How do you write the number 1.049 in the hundredths place
sladkih [1.3K]
You would round 1.049 to 1.05.
4 0
3 years ago
How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9
ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})

Where:

\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

\frac{5.9}{100}=0.059

Now we substitute the values:

PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})

Now we solve the operations, we get:

PV_{\text{ord}}=39462.50

Therefore, the present value must be $39462.50

8 0
1 year ago
What percent of 17 is 51?
Taya2010 [7]

Answer:

33%

Step-by-step explanation:

h steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=51$.

Step 4: In the same vein, $x\%=17$.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$.

$x\%=17(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{51}{17}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{17}{51}$

$\Rightarrow x=33.33\%$

Therefore, $17$ is $33.33\%$ of $51$.

4 0
2 years ago
Read 2 more answers
ASAP PLS
Wittaler [7]

Assuming Earth's gravity, the formula for the flight of the particle is: 


s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160. 


This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2. 


Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet. 




8 0
3 years ago
Read 2 more answers
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