5x - 2y = 33
5x + 8y = 18
Solve the simultaneous equations.

x=__
y=__

Answer:

6) C. amount left in her money

7) C. Php1 500, Php403 and 3 cans of paints

8) A. Php291

9) B. Php1 170

10) D. Php840

Step-by-step explanation:

Alona bought 3 cans of paint for Php403 p er can. She gave the salesclerk Php1 500. How much change did she get?

6.) What is asked in the problem?

Aloha was asked of her change. This means the amount that is left after buying the 3 cans of paint. Hence, option C is correct.

C. amount left in her money

7. )What are the given facts?

The given facts in the question are

The 3 cans of paint that cost Php 403 and the amount she paid the clerk which is Php 1500

Hence, Option C. Is correct.

C. Php1 500, Php403 and 3 cans of paints

8. )How much change did she get?

The amount for change she got is calculated as.

Php 1 500 - 3(Php 403)

= Php 1 500 - Php 1 209

= Php 291

The amount of change she got is Php 291

Option A. Php291 is correct

9.) Lilia has six Php100 bills, seven Php50 bills and eleven Php20 bills. How much does she have?

The question above can be interpreted as:.

Six Php100 bills

= 6 (Php100)

= Php 600

Seven Php50 bills

7 (Php50)

= Php 350

Eleven Php20 bills

11 (Php20)

= Php 220

The amount she she has is calculated as:

Php 600 + Php 350 + Php 220

= Php 1 170

Hence, Option B. Php1 170 is correct

10.) Mang Jose is a tricycle driver. He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip. How much does he earn for 21 trips?

We are told that:

He charges Php10 for every passenger he transports. The tricycle carries 4 passengers each trip.

Hence, the cost for each trip is

Php 10 × 4 passengers

= Php 40

Hence:

1 trip = Php 40

21 trips = x

Cross Multiply

x = 21 trips × Php 40

x = Php 840

Option D. Php840 is correct

Step-by-step explanation:

need a thanks and thats it...

Answer:

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

2 1/3 ; 9 1/3

Step-by-step explanation:

Given that:

Outside temperature increases by 3 1/2 degrees every 1 1/2 hours

The rate per hour of temperature increase will be :

Let rate per hour = x

3 1/2 = 1 1/2

x = 1

Cross multiply :

1 1/2 * x = 3 1/2 * 1

3x/2= 7/2

Multiply both sides by 2/3

3x/2 * 2/3 = 7/2 * 2/3

x = 14/ 6

x = 2 2/6

x = 2 1/3

Hence, outside temperature increases at the rate of 2 1/3 degrees per hour.

2.) Temperature increase after 4 hours :

(Temperature rate per hour * number of hours)

(2 1/3) * 4

(7/3) * 4

28 / 3

= 9 1/3

Hence, temperature increase after 4 hours = 9 1/3

I know because i am in the future

Answer:

Step-by-step explanation:

60,000 + 3,000 + 20 + 9

= 63,000 + 29

= 63,029.

Answer: 63,029

Hope this helps have A wonderful Christmas

Step-by-step explanation:

Answer:

A) Juan wins the race

B) J(t) = A (t) at (7 minutes, 2 miles)

C) The interval is 7 minutes to 15 minutes

Step-by-step explanation:

a) Juan wins the race

The reason is that the time Juan took to cover the distance of 4 miles is shorter than the time Antonio took

b) J(t) = A(t) at what point

This simply refers to the point at which the two graphs cross over one another

We can see this at the point ; (7,2)

This is; 7 seconds and 2 miles

What this mean is that they both covered 2 miles in 7 seconds

c) interval where J(t) > A(t)

This is the interval at which Juan was ahead of Antonio

Juan was below within 7 minutes

after 7 minutes he picked up

so the interval is 7 minutes - 15 minutes

lol that's cool because i didn't know either

Answer:

1. y=3x-2

2. y=-1/4x+5

These equations are in slope-intercept form (y=mx+b). IN this equation m represents the slope and b represents the y intercept. Therefore, y=3x-2 and y=-1/4x+5 are correct

Step-by-step explanation:

Answer:

Question a:

[tex]\frac{(2^3)^6 \times 9^3}{4^2 \times 27}\\= \frac{2^{18} \times 3^6}{2^4 \times 3^3}\\=2^{14} \times 3^3[/tex]

Question b:

[tex]\frac{35 \times 7^3}{5^2 \times 343}\\= \frac{7 \times 5^1 \times 7^3}{5^2 \times 7^3}\\= \frac{5^1 \times 7^4}{5^2 \times 7^3}\\=\frac{7^1}{5^1} = \frac{7}{5}[/tex]

Question c:

Note that this one is particularily simple as anything to the power of zero is equal to 1

[tex]((\frac{2^4 \times 3^6}{12^2})^0)^3\\= 1^3\\ =1[/tex]

Question d:

[tex]\frac{13^3 \times 7^0}{((65 \times 49)^2)^1}\\\frac{13^3}{(65 \times 49)^2}\\\frac{13^3}{(13 \times 5 \times 49)^2}\\\frac{13^3}{13^2 \times 5^2 \times 7^4}\\\frac{13}{5^2 \times 7^4}[/tex]

Answer:

There are 3 intervals where Ann is driving a consistent speed

==========================================================

Explanation:

When she drives a consistent speed, this means her speed is the same.

This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.

The intervals where the graph is flat are mentioned at the top in the answer portion.

Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.

In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).

Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.

Answer: The required simple interest = $240

Step-by-step explanation:

Formula for simple interest:

Interest = Principal x rate x time

Given: Principal = $800

rate of interest = 5% = 0.05

Time = 6 years

Interest = 800 x 0.05 x 6 = $240

Hence, the required simple interest = $240

Answer: 30 OR C

Step-by-step explanation:

Answer:

y = -1 !!!!!!!!!!! :)))))))))))))

Answer:

y=-1

Step-by-step explanation:

symmetry is where it is the same on both sides, so that would be the line between the top and bottom point and because they are up and down it is a y whereas if it were side to side it would be x. it is on the left side which are negatives and it is one over to the left making it y=-1

Answer:

C IS 100 F is 100 they usually give numbers to subtract but ion see it

Answer:

◽Angle 14 and Angle 12

◽Angle 10 and Angle 8

Step-by-step explanation:

Vertical angles are opposite to each other on a pair of intersecting lines.

◽Angle 1 and Angle 4

These angles are not on the same two intersecting lines.

◽Angle 14 and Angle 12

These angles are on the same two intersecting lines. They are also opposite to each other.

◽Angle 7 and Angle 8

These angles are on the same intersecting lines, but they are not opposite to each other.

◽Angle 10 and Angle 8

They are on the same pair on lines, and opposite to each other.

◽Angle 3 and Angle 5

They are not on the same pair of intersecting lines.

◽Angle 8 and Angle 12

These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).

The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

By the vertical angle property, then we have

∠14 = ∠12

∠10 = ∠8

∠7 = ∠9

∠11 = ∠13

The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ6

The missing diagram is given below.

Answer:

x < 15/2

Step-by-step explanation:

Step 1: Divide both sides by 2.

2x/2 < 15/2

x < 15/2

Answer:

-5.1n+8.6 plz give brainliest

Step-by-step explanation:

Answer:

p + n ≠ 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per diagram, the triangles have 3 congruent sides:

So they are congruent by SSS criteria

Answer:

CD = -2x

Step-by-step explanation:

Negative reciprocal

Answer:

x = 76

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides

[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )

[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )

x = 76

Answer:

12.50$

Step-by-step explanation:

3 dollars for 1 yard

3x4=12

.25x2=50

12.50$

Answer: 71 coins

Step-by-step explanation:

First and foremost, we should note that:

12 months = 1 year

2 years = 12 × 2 = 24 months

Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:

= 25 + 2x

where, x = number of months

= 25 + 2(23)

= 25 + 46

= 71 coins

She will have 71 coins after 2 years.

Answer: A) 90.75 ft.

Step-by-step explanation: because if we cut 10 from 100 we will get 90

Answer:

3:5

Step-by-step explanation:

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

Answer:

Step-by-step explanation:

Slope-intercept form means the equation of a line should be in this form:

[tex]y=mx+b[/tex]

So we re-write our equation into this form like this:

[tex]6x-15y=135\\-15y=-6x+135\\y=\frac{-6x+135}{-15} \\\\y=\frac{-6x}{-15}+\frac{135}{-15} \\\\y=\frac{2}{5}x-9 \\[/tex]

Answer:

u should times 24 by 24 which will make 576

Step-by-step explanation:

If ∆PQR≅∆ XYZ

that means PQ≡XY;QR≡YZ;PR≡XZ