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3 years ago

70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there

Mathematics

2 answers:

bixtya [17]3 years ago

4 0

Answer:

21 moats

Step-by-step explanation:

.70 x 30 = 21

faltersainse [42]3 years ago

3 0

21 moats because you change the percentage to a decimal and multiply by the whole number so it would be .70 times 30 wich equals 21 moats

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If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

3 years ago

Mac hine A pops 12,75 ounces of popcorn in 3 minutes. Machine B pops 18 ounces of popcorn in 4minutes. If each machine pops popc

Nataly [62]

yes. Machine A pops 42.5 ounces of popcorn in 10 minutes. Machine B pops 45 ounces of popcorn in 10 minutes. Add the two to get 87.5 ounces. 8 times 9 is 72 which is less than 87.5 ounces

8 0

3 years ago

A necklace and earrings cost $144. Six necklaces and five pairs of earrings cost $825

hram777 [196]

Step-by-step explanation:

let necklace : x

let earrings : y

x+y=144 -1st eqn

6x+5y=825 -2nd eqn

y=144-X -3rd eqn

substitute eqn into 2nd eqn

6x+5(144-x)= 825

6x +720-5X =825 (expanded)

X = 825-720

X =105

substitute "X=105" into 1st eqn

(105)+y=144

y= 144-105

y=39

1 necklace = 105$

1 pair of earrings = 39$

(to check back: substitute the value into the original eqn)

6 0

2 years ago

Question 4

den301095 [7]

Answer:

40.2

Step-by-step explanation:

Diameter = 16, Radius = 16/2 = 8

Central angle = 2π/5 radians = 72°

Sector area,

8²π×(72/360)

= 64π/5

= 40.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

6 0

3 years ago

Gisela is putting her 35 CD into categories. She has 11 that are pop music, and she has 3 times as many rock CDs as she has clas

Sav [38]

R + c=24
r=3c
3c+c=24
x=6
So there are 18 rock CDs

5 0

3 years ago

70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there​

70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there