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Zinaida [17]
3 years ago
12

Ahmad Conan deposited 60 quarters, 53 dimes, 44 nickels, and 50 pennies into his checking account. The total of the checks he de

posited equaled $17 less than twice his total deposit. If Ahmad received 2 twenty-dollar bills in cash, what was his total deposit?
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

40 $

Step-by-step explanation:

He first deposited 60 quarters=15$, 53 dimes=5.3$, 44 nickels=2.2$, and 50 pennies=0.5$ Total 23$

23$+17$=2*(total deposit)

so total deposit = 20

"If Ahmad received 2 twenty-dollar bills in cash" - does not mean that he deposited those 40$

so total deposit = 20$

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Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to th
Mandarinka [93]
Number......frequency.....relative frequency
10                  2                    2/24 = 8.3%
20                  2                    2/24 = 8.3%
30                  4                    4/24 = 16.7%
40                  2                    2/24 = 8.3%
50                  3                    3/24 = 12.5%
60                  5                    5/24 = 20.8%
70                  3                    3/24 = 12.5%
80                  1                    1/24 = 4.2%
90                  2                    2/24 = 8.3%
total :           24
7 0
3 years ago
A certain Baker makes 35 cake pops a week and sells them at $4.50 each. At the end of a 4 week period, the Baker realized that 6
Whitepunk [10]
I’m not entirely sure if i got this right but i think the answer is $603 dollars in total for the baker
5 0
3 years ago
What is the approximate area of the figure 5 feet and 15 feet
zhenek [66]

Answer:

75 ft^2

Step-by-step explanation:

I assume you mean a 5 ft x 15 ft rectangle. That's 5*15

5 0
3 years ago
Read 2 more answers
1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co
Olenka [21]

Answer:

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\

Step-by-step explanation:

First, notice that:

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\

g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\

g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\

We proceed to use the chain rule to find g_{r}(\sqrt{2},\frac{\pi}{4}) using the fact that X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) to find their derivatives:

g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\

Because we know X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta) then:

\frac{\delta x}{\delta r}=cos(\theta)\ and\ \frac{\delta y}{\delta r}=sin(\theta)

We substitute in what we had:

g_{r}(r,\theta)=f_{x}( rcos(\theta),rsin(\theta))cos(\theta)+f_{y}(rcos(\theta),rsin(\theta))sin(\theta)

Now we put in the values r=\sqrt{2}\ and\ \theta=\frac{\pi}{4} in the formula:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})

Because of what we supposed:

g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=-2cos(\frac{\pi}{4})+3sin(\frac{\pi}{4})

And we operate to discover that:

g_{r}(\sqrt{2},\frac{\pi}{4})=-2\frac{\sqrt{2}}{2}+3\frac{\sqrt{2}}{2}

g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}

and this will be our answer

3 0
3 years ago
Eva is making a pattern using these shapes can you arrange Evas shapes to make a symmetrical pattern
ratelena [41]

Answer:

pyramid, cone, sphere, cube

Step-by-step explanation:

A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.

Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.

One simple pattern to be formed is;

pyramid, cone, sphere, cube

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pyramid, cone, sphere, cube

pyramid, cone, sphere, cube.

Thus, this would generate four symmetrical continuous patterns.

pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.

6 0
3 years ago
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