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Triss [41]
1 year ago
8

Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown. What should Allison

do next to find the value of the expression?
Mathematics
1 answer:
mote1985 [20]1 year ago
4 0

Answer:

Add 2

Step-by-step explanation:

When distributing, pay attention to the negatives both inside and outside the parentheses. Imagine a 1 directly after the second negative symbol in the equation:

-5-1(-2)

Don't subtract 1 from 5! Instead multiply -1 by -2 (you're distributing, remember?)

A negative multiplied by another negative equals a positive!

-5+2

-5+2=-3

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A store sells yogurt in small, medium, and large sizes. A small yogurt costs $2, a medium costs $3, and a large costs $5. In one
lidiya [134]
Let S = number of small yogurts ($2 each).
Let M = number of medium yogurts ($3 each)
Let L = number of large yogurts ($5 each)

Total yogurts is 27, therefore
S + M + L = 27

Total revenue generated is $98, therefore
2S + 3M +5L = 98

There are five more large yogurts than small yogurts, therefore
L = S + 5, or
-S + L = 5

These three equations may be written as the matrix equation
[  1   1   1  | |S|      |27|
|  2  3  5 | |M| =   |98|
| -1   0  1 | |L|       | 5|

The determinant of the matrix is
D = 3 - (2+5) + 3 = -1.

Solve with Cramer's Rule to obtain
S = -[27*3) - (98-25) - 15]
   = 7
M = -[(98-25) - 27(2+5) + (10+98)]
    = 8
L = -[15 - (10+98) + 27(3)]
   = 12

Answer: 7 small, 8 medium, 12 large yogurts.
8 0
2 years ago
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that cos
eduard

Answer:

2.75+11.50S\leq55

4

Step-by-step explanation:

7 0
1 year ago
What is the proof the formula for cos(A+B)=cosAcosB-sinAsinB?
brilliants [131]
Given data, cos(A - B) = cosAcosB + sinAsinB 
<span>let, A=60' and B=30' ( here the ' sign bears degree) </span>
<span>L.H.S = cos(A - B) </span>
<span>=cos (60'-30) ( using value of A and B ) </span>
<span>=cos30' </span>
<span>= sqrt3/2 </span>
<span>R.H.S= cosAcosB + sinAsinB </span>
<span>=cos60' cos30' + sin60' sin30' </span>
<span>= 1/2* sqrt3/2+ sqrt3/2*1/2 </span>
<span>= sqrt3/4 + sqrt3/4 </span>
<span>=2 sqrt3/4 </span>
<span>= sqrt3/2 </span>
<span>so L.H.S =R.H.S or cos(A - B) = cosAcosB + sinAsinB</span>
8 0
2 years ago
Helen’s house is located on a rectangular lot that is 1 1/8 miles by 9/10 mile.Estimate the distance around the lot
RUDIKE [14]

Answer:

The distance around the lot is 4.05 miles .

Step-by-step explanation:

Formula

Perimeter\ of\ rectangle = 2 (Length + Breadth)

As given

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ 1 \frac{1}{8}\ miles\ by\ \frac{9}{10}\ mile.

i.e

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ \frac{9}{8}\ miles\ by\ \frac{9}{10}\ mile.

Here

Length = \frac{9}{8}\ miles

Breadth = \frac{9}{10}\ miles

Put in the formula

Perimeter\ of\ rectangle = 2(\frac{9}{8}+\frac{9}{10})

L.C.M of (8,10) = 40

Perimeter\ of\ rectangle = \frac{2\times (9\times 5+9\times 4)}{40}

Perimeter\ of\ rectangle = \frac{2\times (45+36)}{40}

Perimeter\ of\ rectangle = \frac{2\times 81}{40}

Perimeter\ of\ rectangle = \frac{81}{20}

Perimeter of rectangle = 4.05 miles

Therefore the  distance around the lot is 4.05 miles .


6 0
2 years ago
Read 3 more answers
To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The
kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

s(t) = 4.9t^2 + v_0 t + s_0

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

0 = 4.9(5.6)^2 +5.6(0)+ s_0

0 = 4.9(31.36)+ s_0

s_0=-153.664

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

7 0
2 years ago
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