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Phoenix [80]
3 years ago
10

The total weight of three tins of beans and four jars of jam is 2080g.

Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Lets represent a tin of beans as b\\ and a jar of jam as j\\.

Therefore

3b+4j=2080 and 5b=2000.

Now we can say that b=400.

Substitute b in 3b+4j=2080 for 400.

3*400+4j=2080

Simplify

1200+4j=2080

4j=880

j=220.

Therefore

1 tin of beans is 400 grams and 1 jar of jam is 220 grams.

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ale4655 [162]
l=\frac{2}{3} \\
w=\frac{1}{3} \\ \\
P=2(l+w)=2(\frac{2}{3}+\frac{1}{3})=2 \times \frac{2+1}{3}=2 \times \frac{3}{3}=2 \times 1=2

The perimeter is 2 units.
5 0
3 years ago
For Sophia's graduation party, several tables of the same width will be arranged end to end to form a serving table with a
madreJ [45]

Answer:

Width=4.7 ft

Length=16.1 ft

Step-by-step explanation:

Let the width of the table to be x ft

Then the length should be two more than three times the width= 2+3x ft

The area of the serving table should be 75 ft²

But you know the area of this table is calculated by multiplying the length by the width of the table

Hence, Area= length× width

Length=x ft  and width =2+3x ft

75ft²= (x ft) × (2+3x ft)

75=x*(2+3x)\\\\75=2x+3x^2\\\\3x^2+2x-75=0

Apply the quadratic formula to solve this quadratic equation

The formula is ;

x= (-b ±√b²-4ac)÷2ac

where a=3, b=2 and c=-75

x= (-2 ± √2²-4×3×-75)÷(2×3)

x=(-2±√4+900)÷6

x=(-2±√904)÷6

x=(-2±30.1)÷6

x=(-2+30.1)÷6=4.683⇒4.7(nearest tenth)

or

x=(-2-30.1)÷6= -32.1÷6=-5.35⇒ -5.4

Taking the positive value

x=width =4.7 ft

2+3x= length= 2+3(4.7)=16.1 ft

6 0
4 years ago
Choose the list that shows these numbers in order from smallest to largest.
svetlana [45]

Answer:

0.3, 0.32, 0.321, 0.345

Step-by-step explanation:

The maximum number of decimals shown in the series is 3.

Therefore, let's rewrite all the numbers with three decimal places.

0.32, 0.321, 0.3, 0.345 can be written as

0.320, 0.321, 0.300, 0.345

Now, we can easily compare the numbers and we can conclude:

0.300 < 0.320 < 0.321 < 0.345

Hence, the smallest to largest order is:

0.3, 0.32, 0.321, 0.345

4 0
3 years ago
Find the missing side or angle. Round to the nearest tenth. C=53° B= 80° a=2 b=[ ? ]​
Degger [83]

9514 1404 393

Answer:

  b ≈ 2.7

Step-by-step explanation:

The missing angle A is ...

  A = 180° -53° -80° = 47°

The law of sines tells you ...

  b/sin(B) = a/sin(A)

  b = sin(80°)×2/sin(47°) ≈ 2.6931

Side b is about 2.7 units.

5 0
3 years ago
Read 2 more answers
Which numbers between 25 and 35 are prime which are composite?
inysia [295]
Composite- 25,26,27,28,30,32,34,28,
Prime- 27,29,31,33
6 0
3 years ago
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