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Darina [25.2K]
2 years ago
7

Bertha bought a cake that weighs 7 kilograms. Jessup's cake weighs 6,537 grams.

Mathematics
1 answer:
castortr0y [4]2 years ago
3 0
The answer is C- Berthas cake weighs 463 grams more than Jessups cake
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a triangular sail has sides of 10 ft ,24ft,and 26ft .if the shortest side of a similar sail measures 6ft , what is the measure o
Katarina [22]

Answer:

15.6 ft

Step-by-step explanation:

Since the sails are similar then the ratios of corresponding sides are equal.

Comparing the shortest sides, that is

10 : 6 = 5 : 3

let the longest side be x, then using proportion

\frac{26}{5} = \frac{x}{3} ( cross- multiply )

5x = 78 ( divide both sides by 5 )

x = 15.6

The longest side is 15.6 ft

5 0
3 years ago
Sam had $42 to spend on 12 raffle tickets. After buying them he had $6 left. How much did each raffle ticket cost?
Bingel [31]

Answer:

Each raffle ticket cost $3.

8 0
2 years ago
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0
3 years ago
lydia and annette are standing next to each other. lydia is 40 inches tall , and her shadow is 60 inches long. if annettes shado
Tasya [4]
75-60=15
40+15=55 so Annette is 55 inches tall
6 0
3 years ago
M is the midpoint of AB.<br> AM = = 4x - 8<br> MB =<br> 5x-3/3<br> Find x and AB
marusya05 [52]
X=-7 AB=-72

steps

since m is a midpoint, AM and MB are congruent so you set the two equations equal to each other, 4x-9=5x-3/3( is this a typo? bc 3/3 is 1)
subtract 4x from both sides m, -8=x-1
add 1 to both sides
x=-7

then plug -7 in for x 4(-7)-8=-36
since the two segments are congruent u do -36 x 2= -72
7 0
3 years ago
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