Mathematics, 15.07.2019 04:00, Prolearner1234

Shen’s mother gave him $10 to go buy groceries. he picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. shen used front-end estimation to determine whether he had enough money for the groceries. how much did he estimate the total cost would be?

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answered: medinacamila1129

$9.

Step-by-step explanation:

We have been given that Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46.

In front-end estimation, we round whatever number is in front instead of rounding each number to a given place value.

We can see that in $3.49, front number is and second number is less than 5, so we will round it down to $3.

Similarly, in $3.46, 1st number is 3 and second number is less than 5, so we will round it down to $3.

In $1.14, front or 1st number is 1 and second number is less than 5, so we will round down to $1. Cost of three orange boxes would be $\$1*3=\$3$ .

$\text{Total estimated cost}=\$3+\$3+\$3$

$\text{Total estimated cost}=\$9$

Therefore, the total estimated cost of groceries is $9.

answered: Guest

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

answered: Guest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.