Mathematics : asked on kadence428

08.06.2023

-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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[Substitute the given value of y into the first equation]

[Distribute 4 through the parentheses]

[Collect like terms]

[Move the constant to the right-hand side and change its sign]

[Add the numbers]

[Divide both sides of the equation by 9]

[Substitute the given value of x into the second equation]

[Multiply the numbers]

[Subtract the numbers]

[The possible solution of the system is the ordered pair (x,y)]

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Mathematics

-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

Step-by-step answer

P Answered by Specialist

$- 3x + 4y = 7 \\ y = 3x - 5$

[Substitute the given value of y into the first equation]

$- 3x + 4 \times (3x - 5) = 7$

[Distribute 4 through the parentheses]

- 3x + 12x - 20 = 7

[Collect like terms]

9x - 20 = 7

[Move the constant to the right-hand side and change its sign]

9x = 7 + 20

[Add the numbers]

9x = 27

[Divide both sides of the equation by 9]

x = 3

[Substitute the given value of x into the second equation]

$y = 3 \times 3 - 5$

[Multiply the numbers]

y = 9 - 5

[Subtract the numbers]

y = 4

[The possible solution of the system is the ordered pair (x,y)]

(x,y)=(3,4)

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

Step-by-step answer

P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics

If a european swallow flies 15 meters every 1 second how many would kilometers would it fly in 15 minutes

Step-by-step answer

P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics

David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?

Step-by-step answer

P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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