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3 years ago

Marle placed two orders at the same restaurant last month. In one order, she received 5 trays of lasagna and 3 trays of

Mathematics

1 answer:

user100 [1]3 years ago

5 0

Answer:

$25.25-lasagna, $12.25-garlic bread

Step-by-step explanation:

5L+3G=163

- 4L+4G=150

______________

4(5L+3G=163)

-5(4L+4G=150)

_____________

20L+12G=652

-20L-20G=-750

_____________

-8G=-98

-8G/-8 = -98/-8

G=$12.25

now plug that into G in any of the 2 equations at the top and you can solve for L(price of lasagna)

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Two boys who live 14 miles apart start at noon to walk toward each other at rates of 3 mph and 4 mph respectively. In how many h

aniked [119]

Since you have the answers given, just track their walking.
After one hour, one guy has covered 3mi and the other 4mi, which is in total 7, not 14
After 2 hours, one guy has covered 6mi and the other 8mi, which is 14mi

The algebraic way would be:
3x +4x = 14 *x being the hour
7x = 14
x =2

6 0

3 years ago

Read 2 more answers

Please solve number 11:(

MrRa [10]

Answer:

Market price $400

Cost price $300

Step-by-step explanation:

MP: market price

CP: cost price

1. (MP x 0.9) - CP = 60

CP = 0.9MP - 60

2. MP - CP = 100

CP = MP - 100

0.9MP - 60 = MP - 100

MP - 0.9MP = 100 - 60

0.1MP = 40

MP = 400

Cost price = MP - 100 = 400 - 100 = 300

3 0

2 years ago

What is the ratio equivalent to 0.l

NeTakaya

1 / 10 is the easiest answer. Remember ratios are just percentages. It could also be 2/20, 3/30, as long as it is 10%.

7 0

3 years ago

Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum

otez555 [7]

<u>Step-by-step explanation:</u>

To prove:

$\cos 3x=\cos^3x-3\sin^2 x\cos x$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

Taking the LHS:

$\Rightarrow \cos 3x=\cos (x+2x)$

Using identity 1:

$\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x$

Using identities 2 and 3:

$\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x$

As, LHS = RHS

Hence proved

4 0

3 years ago

Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets solo

Xelga [282]

Answer:

I do not see all the graphs but it would be the reverse of what is shown for A. graph. The tickets sold to total income would have to be a 1:4 ratio where every 4 dollar leap in the y-axis is a one point (1 unit change in x).

Step-by-step explanation:

8 0

2 years ago