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kirill115 [55]
3 years ago
6

9 bowls of soup contain 837 calories. How many calories in each bowl of soup?

Mathematics
2 answers:
Ugo [173]3 years ago
8 0

The answer is 93 calories per bowl of soup. → The equation is 837 ÷ 9.

Stels [109]3 years ago
8 0

Divide 837 by 9 and you have 93 calories in each bowl of soup.

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ale4655 [162]
The answer is 13.57
First 25/7 which is 3.57
Second add 10
8 0
2 years ago
If sin²∅ + sin∅ = 1 , then what is the value of sin²∅ + sin⁴∅.​
Yakvenalex [24]

Answer:

Step-by-step explanation:

Given  sin²∅ + sin∅ = 1, we are to find the value of  sin²∅ + sin⁴∅. ... 2

From  sin²∅ + sin∅. = 1;  sin²∅ = 1 - sin∅. ... 3

Substitute equation 3 into 1

sin²∅ + sin⁴∅

=  sin²∅ + (sin²∅)²

=  (1 - sin∅)+( 1 - sin∅)²

open the parenthesis

= 1 - sin∅+ (1-2sin∅+ sin²∅)

= 1 - sin∅+ 1-2sin∅+ sin²∅

= 1+1-sin∅-2sin∅+sin²∅

= 2 - 3sin∅+sin²∅

Since sin²∅ = 1 - sin∅, the resulting equation becomes;

= 2 - 3sin∅+(1 - sin∅)

= 2 - 3sin∅+1-sin∅

= 3-4sin∅

7 0
3 years ago
Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common fa
Diano4ka-milaya [45]
I believed there is a typo error in the choices. Below I assume that the correct choices:

<span>A. 9 (3+4)
</span>B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)

The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63. 
8 0
3 years ago
Plz explain and prove the triangles congruence.
ziro4ka [17]

Answer:

The explanation is given below with the diagram.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with base AB.

D is the midpoint of AB

∴ AD = BD

To Prove:

\angle ACD \cong \angle BCD

Proof:

Isosceles triangle property:

If Δ ABC is an Isosceles triangle with base AB, then the two sides are congruent and the base angles are congruent.

\therefore \overline{AC} \cong \overline {BC}\ and\\\therefore \angle CAD} \cong \angle CBD

In\ \triangle ACD\ and\ \triangle BCD\\\overline{AC} \cong \overline{BC}\ \textrm{ Two sides of Isosceles Triangle are congruent}\\\angle CAD \cong \angle CBD\ \textrm{Base angles of Isosceles Triangle are congruent }\\\overline{AD} \cong \overline{BD}\ \textrm{ D is the midpoint of AB given}\\\therefore \triangle ACD \cong \triangle BCD\ \textrm{ By Side-Angle-Side test}\\\therefore \angle ACD \cong \angle BCD\ \textrm{corresponding parts(angles) of congruent triangles}\\

\therefore \angle ACD \cong \angle BCD\ \textrm{ Proved}

7 0
3 years ago
B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers
Alex17521 [72]

Answer:

a : b : c = 12 : 10 : 15

Step-by-step explanation:

Given that: b = \frac{2}{5} of c

 i.e             b = \frac{2c}{5} ............... 1

          2c = 5b

So that;

          c = \frac{5b}{2} .................... 2

Also,    

          4a = 3c

           a = \frac{3c}{4} ................ 3

⇒          a = \frac{3}{4} × (\frac{5b}{2})

             a = \frac{15b}{8} ................. 4

           15b = 8a

           b = \frac{8a}{15} ................. 5

Comparing the derived equations:

From equations 2 and 3,

a:c = \frac{15b}{8}: \frac{5b}{2} = 4:5

From equations 1 and 2,

b:c = \frac{2c}{5} : \frac{5b}{2} = 2:3

But a common value of b = 15, gives;

a : c = 12 : 15 and b : c = 10 : 15  

Thus, a : b : c = 12 : 10 : 15

6 0
3 years ago
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