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Sav [38]
2 years ago
6

Jack and Jim went biking. Jack biked for 5 1/3 hours with average speed 12 1/2 miles per hour. Jim traveled exactly 1 1/5 as far

as Jack did. How long was Jim’s trip?

Mathematics
2 answers:
GuDViN [60]2 years ago
5 0
The relation between distance, velocity and time can be expressed using the following equation:
Distance = velocity * time

We are given that:
Jack biked 5 1/3 hours (time = 5 1/3 hours) with average speed of 12 1/2 miles per hour (velocity = 12 1/2 miles/hour)
Substitute in the above equation to get the distance traveled by Jack as follows:
Distance traveled by Jack = 12 1/2 * 5 1/3 = 66.6667 miles

Now, we know that:
Jim traveled 1 1/5 as far as Jack, this means that:
Distance traveled by Jim = 66.6667 * 1 1/5 = 80 miles
JulijaS [17]2 years ago
5 0
I don't know if you are allowed to use a calculator for these problems, but I did. I am able to multiply the mixed fractions without a calculator if you need help with that please comment below.  Please let me know if you are still confused on how to get the answer! Hope this helped!

My Final Answer: Jim's trip was 146 2/3 miles long.

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A student spent 2 hours studying, 1 hour doing laundry, and 1 ½ hours watching television. What percentage of time was spent doi
ivanzaharov [21]
Total hours working = 4.5 hrs 
hours doing laundry = 1 hr 

Percentage of time doing laundry = 1/4.5 
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5 0
2 years ago
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A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter
bearhunter [10]

the answer is in the picture

5 0
1 year ago
Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos el arquitecto le pidió
Alekssandra [29.7K]

Answer:

a) 0.64mm

b) 7/25

Step-by-step explanation:

Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos.El arquitecto le pidió cotizar un cable de 16/25 mm de diámetro. en los catálogos disponibles en as tiendas las medidas aparecen expresadas en números decimales como se muestra en la imagen

¿Que debe hacer felipe para saber el diámetro del cable que pidió el arquitecto?

¿que medida en forma de fracción le corresponde al cable que mide 0.28? ¿como lo determinaste? es urgenteeee GRACIAS

a) Dada la dimensión fraccionaria del cable expresada como 16/25 mm, dado que Felipe debe expresar esta fracción en decimal para obtener la medida requerida, dividiremos la expresión usando una división larga como se muestra en el anexo. Desde el archivo adjunto;

16/25 mm = 0,64 mm

b) La medida fraccionaria corresponde al cable que mide 0.28 se expresa como se muestra. Convertir 0,28 a fracción.

0.28 = 28/100 (Tenga en cuenta que dividimos por 100 porque hay dos valores decimales después del punto decimal)

Sobre la simplificación en su término más bajo

28/100 = 4 * 7/4 * 25

28/100 = 4/4 * 7/25

28/100 = 1 * 7/25

28/100 = 7/25

Por lo tanto, la medida fraccionaria que corresponde al cable que mide 0.28 es 7/25.

8 0
2 years ago
A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed n
luda_lava [24]

Answer:

the machine is mixing the nuts are not  in the ratio 5:2:2:1.

Step-by-step explanation:

Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.

A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.

Create hypotheses as

H0: Mixture is as per the ratio 5:2:2:1

Ha: Mixture is not as per the ratio

(Two tailed chi square test)

Expected values as per ratio are calculated as 5/10 of 500 and so on

Exp        250      100    100       50        500

Obs       269      112       74       45         500

O-E          19        -12      -26       -5           0

Chi          1.343   1.286  9.135   0.556   12.318

square

df = 3

p value = 0.00637

Since p value < alpha, we reject H0

i.e. ratio is not as per the given

4 0
2 years ago
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