Mathematics : asked on jaylaa04

22.02.2022

Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=

0

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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Step-by-step explanation:

Isolate y for 4y+11x-67=2:

Isolate x for

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Mathematics

Solve the system of equations. begin{aligned} &-4y+11x - 67=0 &2y+5x-19=0 end{aligned} −4y+11x−67=0 2y+5x−19=0 x=x=x, equals y=y=y, equals

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=

Step-by-step answer

P Answered by Specialist

$y=\frac{136}{9},\:x=\frac{7}{9}$

Step-by-step explanation:

$\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}$

Isolate y for 4y+11x-67=2:

$y=\frac{-11x+69}{4}$

$\mathrm{Substitute\:}y=\frac{-11x+69}{4}$

$\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}$

Simplify

$\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}$

Isolate x for $\frac{9x+69}{4}-19=0:$

$x=\frac{7}{9}$

$\mathrm{For\:}y=\frac{-11x+69}{4}$

$\mathrm{Substitute\:}x=\frac{7}{9}$

$y=\frac{-11\cdot \frac{7}{9}+69}{4}$

$\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}$

$y=\frac{136}{9}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=\frac{136}{9},\:x=\frac{7}{9}$

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

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Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

Step-by-step answer

P Answered by PhD

The solution is in the following image

The solution is in the following image

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

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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