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GREYUIT [131]
3 years ago
11

henry is mixing concrete. to make concrete he needs to mix cement, sand and gravel in the ratio 5 : 4 : 1 by weight. henry needs

to make 110kg of concrete. he has 50kg cement, 55kg of sand and 15kg of gravel. which ingredient is henry short of?
Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

cement by 5 Kg

Step-by-step explanation:

add the parts of the ratio, 5 + 4 + 1 = 10 parts

Divide the quantity of concrete by 10 to find the value of one part of the ratio.

110Kg ÷ 10 = 11Kg ← value of 1 part of ratio , thus

5 parts = 5 × 11Kg = 55Kg ← cement required

4 parts = 4 × 11Kg = 44Kg  ← sand required

1 part = 11Kg ← gravel required

He requires 55Kg of concrete but only has 50Kg.

He requires 44Kg of sand and has 55Kg

He requires 11Kg of gravel and has 15Kg

Thus he is 5Kg short of cement.

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If you add the lengths of the focal radii of an ellipse, what other value will you produce?
ss7ja [257]

Equation of an ellipse

→having center (0,0) , vertex ((\pm a ,0) and covertex (\pm b ,0) and focus (\pm c ,0) is given by:

\frac{x^2}{a^2} + \frac{y^2}{b^2}=1

As definition of an ellipse is that locus of all the points in a plane such that it's  distance from two fixed points called focii  remains constant.

Consider two points (a,0) and (-a,0) on Horizontal axis of an ellipse:

Distance from (a,0) to (c,0) is = a-c = F_{1}

Distance from (-a,0) to (c,0) is = a + c = F_{2}

F_{1} + F_{2} = a -c + a +c

          = a + a

        = 2  a  →(Option A )


8 0
3 years ago
Read 2 more answers
. One-fifth of the plants in a garden are grape tomato plants. Two-ninths of the plants in the garden are cherry tomato plants.
vodomira [7]

Answer:52

Step-by-step explanation:

Given

one-fifth of the plants in a garden are grape tomato plant

two-ninth of the plants in the garden are cherry tomato plants

Also there are 18 grape tomato and 20 cherry tomato plants.

Let Total plants be x

Then Grape tomato plants =\frac{x}{5}=18

x=90

thus there are total of 90 plants

also grape tomato+cherry tomato=18+20=38

Thus there are 90-38=52 remaining plants.

6 0
3 years ago
What's the 8th term geometric sequence below
Gekata [30.6K]
I would choose the answer D 
8 0
3 years ago
I need to pass so can somebody answer this plz​
____ [38]

B. x = y

Hope this helps! :)

4 0
3 years ago
Read 2 more answers
PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!
WINSTONCH [101]

Answer:

Step-by-step explanation:

the formula for the circumference of a circle is 2rπ

the formula for the area of a circle is (r^2)π

the formula for the diameter of a circle is 2r

π=3.14

---------------------------------------------------------------

1. diameter =2r.    since diameter=24, r=12

2. circumference=2rπ.     since circumference = 314.     314=2rπ       r=49.9746

3. circumference=2rπ                                           area=(r^2)π

   since r=7, circumference=14π=43.98229      since r=7, area is 49π=153.9380

4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before:    circumference=20π=62.8318 and area=100π=314.15926

5.  the formula for the diameter is 2r=d        2(18)=d,    36=d

6. 2rπ=circumference = 2(5)π=10π=31.415926

Hope that helps :)

8 0
2 years ago
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