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My name is Ann [436]
3 years ago
7

Sharko had $294. After spending $24.20 on a plate of pasta, $5.05 on a slushie and giving $59.45 to his sister, he had twice as

much money as his sister. How much money did his sister have at first?
Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

$43.20

Step-by-step explanation:

He had $294 at first then he spent $24.20 on a plate of pasta, $5.05 on a slushie and gave $59.45 to his sister

so the money left is

294 - 24.20 - 5.05 - 59.45 = 205.3 this is twice of what his sister has so the sister has 102.65

102.65 - 59.45 = 43.20 is the money ahe had at first

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What scale factor was applied to the first rectangle to get the resulting image? The answer is a decimal. The big rectangle is 2
Juli2301 [7.4K]
Scale factor is always (new/original)

so it depends which rectangle came first. if it started as large and was dilated to the smaller one, then the ratio is (.5/2.5) which simplifies to 1/5 or 0.2.
3 0
3 years ago
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 64cm^2
motikmotik
Let x =lenght, y = width, and z =height 
<span>The volume of the box is equal to V = xyz </span>
<span>Subject to the surface area </span>
<span>S = 2xy + 2xz + 2yz = 64 </span>
<span>= 2(xy + xz + yz) </span>
<span>= 2[xy + x(64/xy) + y(64/xy)] </span>
<span>S(x,y)= 2(xy + 64/y + 64/x) </span>
<span>Then </span>
<span>Mx(x, y) = y = 64/x^2 </span>
<span>My(x, y) = x = 64/y^2 </span>
<span>y^2 = 64/x </span>
<span>(64/x^2)^2 = 64 </span>
<span>4096/x^4 = 64/x </span>
<span>x^3 = 4096/64 </span>
<span>x^3 = 64 </span>
<span>x = 4 </span>
<span>y = 64/x^2 </span>
<span>y = 4 </span>
<span>z= 64/yx </span>
<span>z= 64/16 </span>
<span>z = 4 </span>

<span>Therefor the dimensions are cube 4.</span>
6 0
4 years ago
A computer technician keeps track of his earning through tout each months. The technician observes that his earnings are a linea
notka56 [123]

Answer:

Part A :  E = 35h + 200

Part B : The per hour charges of the technician is $35/hour.

Step-by-step explanation:

The technician observes that his earnings are a linear function of the number of hours he works during the month. The technician finds that when he works 55 hours during the month, he earns $2,125 and when he works 30 hours, he earns $1,250 .

If we consider the number of hours that he works in a month is h and the amount he earns in dollars is E, then (30,1250) and (55,2125) are the two ordered pairs.

Part A : Therefore, the linear function to model the relationship between the number of hours worked and the money earned will be

\frac{E - 2125}{2125 - 1250} = \frac{h - 55}{55 - 30}

⇒ E - 2125 = 35(h - 55)

⇒ E - 2125 = 35h - 1925

⇒ E = 35h + 200

Part B : The equation above is in the slope-intercept form and the slope is 35 which means that the per hour charge of the technician is $35/hour. (Answer)

4 0
3 years ago
The scale factor from S to M is 3/2 What is the scale factor from M to S
natita [175]

we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

<h3></h3><h3>What is the scale factor from M to S?</h3>

Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.

So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:

M = S*K

If that scale factor is 3/2, then we have the case of the problem:

M = (3/2)*S

We can isolate S in the above relation:

(2/3)*M = S

Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.

Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

If you want to learn more about scale factors:

brainly.com/question/25722260

#SPJ1

3 0
1 year ago
Find the volume of the cone in cubic feet. Use 3.14 for it and round your answer to the nearest tenth.
kenny6666 [7]
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ</u><u>:</u></h3>

\quad\hookrightarrow\quad \sf {5,790,806.5\:ft^3 }

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ:</u></h3>

Here, we area provided a cone with:

  • Radius = 48m
  • Height = 68 m

We have to find the volume of the cone in feet³, and we are given that 1m = 3.2808ft

<h3><u>Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙ</u><u>ⳑɑ</u><u>:</u></h3>

The volume of a cone is equal to one third of the volume of a cylinder having the same base radius and height ,i.e:

\quad\longrightarrow\quad \sf { V =\dfrac{1}{3}\pi r^2 h }

<u>Therefore</u><u>,</u><u> </u><u>Volume:</u>

\implies\quad \tt {V = \dfrac{1}{3}\pi r^2 h }

\implies\quad \tt { V =\dfrac{1}{3}\times 3.14 \times 48^2 \times 68 }

\implies\quad \tt { V =\dfrac{1}{\cancel{3}}\times 3.14\times \cancel{2304} \times 68}

\implies\quad \tt {V =3.14\times 768\times 68 }

\implies\quad \tt {V = 163,983.36}

\implies\quad \tt { V = 163,983.36 \times (3.2808)^3 \qquad\quad\bigg[ As, \: 1m = 3.2808ft\bigg]}

\implies\quad \tt {V = 163,983.36\times 35.30 }

\implies\quad\underline{\pmb{ \tt { V = 5,790,806.5 ft^3}}}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume </u><u>of </u><u>given </u><u>cone </u><u>is </u><u>5,790,806.5</u><u> </u><u>f</u><u>t</u><u>³</u><u>.</u>

3 0
2 years ago
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