The sum of two numbers is 1. Five times the larger number plus four times the smaller number is 20. Find the numbers.

To solve this problem, let's translate the given information into a mathematical equation and then solve for the unknown number.

The problem states that "1 more than 5 times a number is 26." We can represent the unknown number by a variable, let's use "x." The phrase "5 times a number" can be translated to "5x." Hence, "1 more than 5 times a number" becomes "5x + 1."

Now, according to the problem, this expression equals 26. This gives us the following equation:

5x + 1 = 26

To find the value of x, we need to solve this equation for x. Here are the steps to do it:

1. First, we need to isolate the term with x on one side of the equation. We can do this by subtracting 1 from both sides of the equation to get rid of the "+1".

5x + 1 - 1 = 26 - 1

This simplifies to:

5x = 25

2. Next, we need to solve for x by getting rid of the coefficient 5. We do this by dividing both sides of the equation by 5:

5x / 5 = 25 / 5

This simplifies further to:

x = 5

So the number we were looking for is 5.

To summarize, if 1 more than 5 times a number is 26, then the number is 5.

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

[tex]x + 3y = 4[/tex]

[tex]3x - 5y = 8[/tex]

Then make x the subject in the first equation to get:

[tex]x = 4 - 3y[/tex]

Put this equation into the second equation to get:

[tex]3(4 - 3y) - 5y = 8[/tex]

[tex]12 - 9y - 5y = 8[/tex]

[tex] - 9y - 5y = 8 - 12[/tex]

[tex] -14y = - 4[/tex]

[tex]y = \frac{ - 4}{ - 14} = \frac{2}{7} [/tex]

This means that:

[tex]x = 4 - 3 \times \frac{2}{7} [/tex]

[tex]x = 4 - \frac{6}{7} = \frac{22}{7} [/tex]

Answer:

a^2 = c^2 - b^2    

Step-by-step explanation:

With the pythagorean therom you have a^2 + b^2 = c^2

Therefore a^2 = c^2 - b^2     you get this by subtracting b^2 from both sides

Once you have all the numbers you can just get the square root of them and youll have what a is

Answer: 8.08

Step-by-step explanation:

Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.

Answer:

X = 8

Y = 35

Step-by-step explanation:

All you need to do to solve this problem is use the Pythagorean Theorem[tex](a^{2} +b^{2} =c^{2} )[/tex]

The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.

I have created an image for you to follow.

:

xfjgrtjsrjdtyj

erhergqerg3ergtaegqe

Answer:

45.4

Step-by-step explanation:

Answer:

22.75 square feet

Step-by-step explanation:

If the length and width are halved, then:

7 ÷ 2 = 3.5

13 ÷ 2 = 6.5

A = L · W

3.5 · 6.5 = 22.75 square feet

~Hope this helps!~

Answer:

k = -7/9

Step-by-step explanation:

9k + 3 = -4

9k = -7

k = -7/9

On the number line just make a closed circle at -7/9. No line would be drawn, just the dot

-7/9 would be between 0 and -1, closer to -1

Answer:

k = -7/9

Step-by-step explanation:

If the equation is, 9k + 3 = -4, then;

9k =-4-3,

9k =-7,

k=-7/9

and on a number line just show a point with value -7/9, there is no inequality here

Answer:

s and p

Step-by-step explanation:

s and p

there is a right angle side shown

so s and p are complementary

right angle triangle =90°

so angle √sqp

Answer:

PQT & SQT

Step-by-step explanation:

PQT and SQT

Because they should add up to 90

Answer:

62.8 feet

Step-by-step explanation:

Radius of the fencing is:

6+4 = 10 feet

Circumference = 2×pi×r

= 2×pi×10

= 20pi

= 62.83185307 feet

Answer:

86 square inches

86 in^2

Step-by-step explanation:

Base: 3 × 10 = 30

Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)

Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)

Add: 30 + 50 + 6 = 86

Answer:

[tex]x=st[/tex]

[tex]y=-5t[/tex]

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

Let

s ----> the speed in units per second

d ---> the distance in units

t ---> is the time in seconds

BUG A

we have

[tex]d=18\ units[/tex]

[tex]t=3\ sec[/tex]

The speed is equal to

[tex]s=\frac{d}{t}[/tex]

substitute

[tex]s=\frac{18}{3}=6\ units/sec[/tex]

If x is the point reached by A after t seconds

then

Multiply the speed by the time

[tex]x=st[/tex]

[tex]x=6t[/tex]

BUG B

we have

[tex]d=-15\ units[/tex]

[tex]t=3\ sec[/tex]

The speed is equal to

[tex]s=\frac{d}{t}[/tex]

substitute

[tex]s=\frac{15}{3}=5\ units/sec[/tex]

If y is the point reached by B after t seconds

then

Multiply the speed by the time

[tex]y=st[/tex]

[tex]y=-5t[/tex]  ----> is negative because B is moving in the negative direction

Answer:

x = 6t

y = 5t

Step-by-step explanation:

We know the distance formula:

D = RT

Where

D is distance

R is speed

T is time

Bug A went 18 units after 3 seconds, so the speed is:

18 = R(3)

R = 18/3

R = 6 unit/sec

Bug B went 15 units in 3 seconds, so the speed is:

15 = R(3)

R = 15/3

R = 5 units/sec

x is reached by A after 3 seconds, so

x = 6t

y is reached by B after 3 seconds, so

y = 5t

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

Step 1:

The sum of all the angles in any triangle is equal to 180°.

We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.

So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]

Step 2:

Now, we substitute all the angles to a sum of 180 to determine the value of x.

[tex]3x + 4x - 1 + 90 = 180.[/tex]

[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]

So x = 13°. The angles are

[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]

The angles of the triangle are 39°, 51°, and 90°.

Step-by-step explanation:

3x + 4x - 1 = 90⁰

7x = 91

x = 13

Angles are = 39 , 51⁰

Answer:

4/7

Step-by-step explanation:

Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.

Answer:

4/7

Step-by-step explanation:

Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.

Answer:

Step-by-step explanation:

So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches

Answer:

Sydney is 44 years old

Step-by-step explanation:

Step 1:  Make a system of equations

d = s - 15

d + s = 73

Step 2:  Plug in s - 15 for d in the second equation and solve

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

s = 44

Answer:  Sydney is 44 years old

Answer:

Sydney is 44. I think, hope this helps!

Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.

Step-by-step explanation:

Step 1:

For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.

So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,

If parked for two hours charges are 7 + 1 (2) = $9.

Step 2;

To understand the pricing of the parking garage, we must plot the points of the graph.

The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...

So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.

So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,

If parked for two hours charges are 4 + 2 (2) = $8.

Step 3:

Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.

Statement B and D are the same.

Answer:

B

Step-by-step explanation:

Answer:

3 yards,5.25 yard,6.75 yards

Step-by-step explanation:

Given,

Each skirt required 3/4 yards fabric

Solution,

1 skirt required fabric =3/4 yards

4 skirts required fabric=4×3/4 yards=3 yards

7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards

9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards

To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.

To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.

So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:

4 x 3/4 = 12/4 = 3 yards.

To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:

7 x 3/4 = 21/4 = 5.25 yards.

To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:

9 x 3/4 = 27/4 = 6.75 yards.

Answer:

Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?

Answer:

-708,588

Step-by-step explanation:

If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.

Answer: 6 = 2(1+2), this is true.

Step-by-step explanation:

To solve this, 6 = 2(1 +2) =

This question is to proove that 2(1 +2) = 6

First we open the bracket:

(2 × 1) + (2 × 2)

Multiply 2 by 1 = 2

Multiply 2 by 2 = 4

2 + 4 = 6

I hope this helps.

Answer: hope this helps

6=2x3

6=6

Answer:

D

Step-by-step explanation:

Congruent sides mean that they have "EQUAL" lengths.

So, to prove to sides are congruent means that their lengths are equal.

Slope gives the slope of a line. So this can't be it.

Area gives the area of figure. Nothing to do with congruency of 2 lines.

Midpoint formula gives the coordinates of the midpoint. Nothing here.

Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"

Correct answer is D

Solution:

Given that,

At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h

Charlene drove at an average speed of 144 km/h and took 50 minutes.

She arrived at City B at the same time as Hillary

Their distance is same

Find the ratio of speed

120 : 144

Reduce to lowest term

Hillary : charlne = 5 : 6

Find the ratio of time:

Since, speed and time are inversely propotional

Hillary : charlne = 6 : 5

Let time taken by Hiliary be 6t

Let time taken by charlene be 5t

Given that, Charlene took 50 minutes

Therefore,

5t = 50

t = 10

Thus,

time taken by Hiliary = 6t = 6(10) = 60

Thus hiliary took 60 minutes to reach

Find the time Charlene left City A

At 10 a.m., Hillary left City A

Difference between both their time = 60 - 50 = 10 minutes

Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m

Thus, Hillary left city A at 10: 10 AM

Answer:

x=7

Step-by-step explanation:

x+4=4x-17

4=3x-17

21=3x

x=7

Step-by-step explanation:

do 150ml*15 tubes is 2,250 ml

2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)

There is 2.25 liter of solution in all tubes.

Edwin fills 15 test tubes.

Each test tube contains 150 millilitres of solution We have to find How many liters of solution in all is there in the test tubes

There are 15 tubes contain 150 milometers of solution

150ml × 15 tubes

Therefore we get,

[tex]150ml*15 tubes =2,250 ml[/tex]

we have convert 2250 ml into l

We know that

1L =1000ml

so divide 2250 by 1000 we will get,

[tex]2,250/1000 =2.25L[/tex]

Therefore there is 2.25 liter of solution in all tubes

To learn more about the unit conversion visit:

https://brainly.com/question/13016491

Answer:

Y-intercept=6

Multiplier =3

Equation y=3x+6

Step-by-step explanation:

We can find the slope of the line by

Slope=m= (y2-y1)/(x2-x1)

m=(6-3)/(0-(-1))=3

And using point slope formula of equation of straight line

Y-Y1=m(X-X1)

Taking any point on line

Y-3=3(X-(-1))

Y-3=3X+3

y=3x+6

y=3(x+2)

Answer:

1 kilometer

Step-by-step explanation:

1 kilometer = 1000 meters

Therefore, a kilometer is more than a meter.

Answer:  1 kilometer

Answer:1 km

Step-by-step explanation:

1km= 1000m

So 1000m >1m