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pshichka [43]
2 years ago
5

James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?

Mathematics
2 answers:
vredina [299]2 years ago
6 0

Answer:

Step-by-step explanation:

Let the number of 5-cent coins he has be x and the number of 10-cent coins he has be y

x coins + y coins = 157 coins

(x × 5)cents + (y × 10)cents = $10

These two equations are true about the money he has, i.e

x + y = 157

5x + 10y = 1000

(We made the $10 into 1000 cents because the coins are in cents)

We can solve the above equations either simultaneously or through substituting.

<u>Simultaneously:</u>

(x + y = 157) × 5

5x + 10y = 1000

5x + 5y = 785

5x + 10y = 1000

Subtract the co-efficients in the equations

0x + -5y = -215

-5y = -215

y = 43

This means he has 43 10-cent coins.

PS: We get the number of 5-cent coins by subtracting 43 from 157, the total number of coins he has.

<u>Substituting:</u>

x + y = 157

5x + 10y = 1000

y = 157 - x

5x + 10(157 - x) = 1000

5x + 1570 - 10x = 1000

-5x = -570

x = 114 coins

157 - 114 = 43 coins

Thus there are 43 10-cent coins.

Lynna [10]2 years ago
3 0

Answer:

46

Step-by-step explanation:

You would have 46 10-cent coins. First split it up into dollars, there are $10 and 10 dimes in each dollar. So if James has 157 coins you would need to first see how many coins he has in total. In total there are 100 dimes. We need to get to 157 coins so we'll need to break up some of the coins. So we keep turning the dimes into nickels until we get the number 157 for all the coins in total. So James has 46 10-cent coins.

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stepan [7]

I think it's 1/4 that's my answer

7 0
3 years ago
Read 2 more answers
Find the total cost, including tax, of the following items:
frez [133]

Answer:

$10.23

Step-by-step explanation:

$2.19+$1.39+$3.69+$2.29=9.56

9.56 x 1.07=10.2292

You round to the nearest tenths place

$10.23

7 0
3 years ago
On a long distance bike trip Annike started at 7 a.m and her average speed was 11 miles per hour and Celia travels 14 miles per
Troyanec [42]

Answer:

Annike's bike trip started at 7:00, if she and Celia both start at the same time you would multiply Annike's average speed by Celia's average speed to find where they would have completed the same number of miles

equation: 11×14=154 14×11=154

Step-by-step explanation:

counting by 11:

11 22 33 44 55 66 77 88 99 110 121 132 143 <em><u>154</u></em>

11 × 14 = 154

counting by 14:

14 28 42 56 70 84 98 112 126 140 <em><u>154</u></em>

14 × 11 = 154

8 0
3 years ago
The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks
Ronch [10]

Answer:

you would set it up as (85 - 36) * 3 = x

Step-by-step explanation:

you need to subtract 36 from 85 to get 49, then multiply it by 3 to get 147 because since the amount of state parks in cali is 36 more than 1/3 of the state parks in florida, you would do the opposite operations to figure out how many state parks florida has.  

4 0
3 years ago
Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son...
AleksandrR [38]

Answer:

Para resolver correctamente el ejercicio debemos seguir los pasos que se muestran en la explicación.

Step-by-step explanation:

El ejercicio enunciado de manera completa es el siguiente:

7.Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son:  

(la gráfica del ejercicio se guardo como archivo adjunto)

-a = 8 cm y b = 10

-a = 9 cm y b = 11

-Ninguna de las respuestas anteriores es correcta.

<em>SOLUCIÓN:</em>

<em>Pasos:</em>

-Primero debemos hallar el valor de a, la gráfica nos indica que debemos hacer,tenemos que restar 15 de 6; entonces:

a= 15cm -6cm=9 cm

-Ahora debemos aplicar el teorema de thales  ;como los segmentos son proporcionales podemos establecer la siguiente relación de esa manera podemos hallar el valor del segmento b;

   \frac{9}{b}=\frac{6}{7} ( para resolver debemos multiplicar en cruz)

 (9x7)=6xb

 63=6b (aquí debemos hallar el valor de b,para eso b pasa a dividir a 63)

  \frac{63}{6}= b

b= 10.5 cm

La respuesta correcta es:   a= 9cm y b= 10.5 cm

(De las opciones de respuesta dadas en el ejercicio ,ninguna corresponde a la respuesta hallada)

8 0
2 years ago
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