Solve for x. 7x+38=45

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

subtract 38 from both sides:

7x=7

divide both sides by 7 to isolate x:

x=1

HOPE THIS HELPS!!!! :)


Related Questions

what is 1.54324 rounded to the nearest tenths equal

Answers

Answer:

1.5

Step-by-step explanation:

1.54324

The 5 is in the tenths place

We look at the next digit to determine if we need to round up or we leave it alone

The next digit is a 4.  It is under 5 so we leave the 5 alone

1.5

The tenths place is one place to the right of the decimal point.

This means the digit in the rounding place is 5

Since the digit to the right of the rounding

place, 4, is less than 5, round down.

This means that the digit in the rounding place, 5, stays the same and

we change all digits to the right of the rounding place to 0.

So our answer is 1.50000 or 1.5.

1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg

Answers

Answer:

i) around 41.7 kg

ii) 72 books

Step-by-step explanation:

i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.

ii) use the same way as above.

2.
8 + 4ab - 5b
Number of terms:
Coefficients:
Constant terms:

Answers

Answer:

8= coefficients.

4ab=constant term

5b=number of terms

Step-by-step explanation:

when terms are being added and substrated in algebra expression, we can sometimes simplify the expression to produce an expression with fewer terms

LET ME KNOW IF IT HELPS

anyone help me, please I need help
[tex] \sqrt{x - 5} = 8 \sqrt[]{x - 2} [/tex]

Answers

Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

안녕, 내 친구가 되어줄래?

소개를 부탁드려도 될까요?

나 자신 오자스비

클래스 8, 13

인도

한국 사람이에요?

e. What order will result in a final output of 36 when the initial input is 1/7?

Answers

Answer:

5

Step-by-step explanation:

7x5=35

the remainder is 1

=5.1

the nearest number is 5

15. Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
-9, -4, 1, 6, ...

Answers

Answer:

11, 16

Step-by-step explanation:

the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11

then 11 + 5 = 16

Answer:

11,16

Step-by-step explanation:

We are adding 5 each time

-9+5 = -4

-4+5 =1

To find the next two terms

6+5 =11

11+5 = 16

The points A,B,C and D divide the line segment AD in the ratio 4:3:1 , respectively , and AD = 72cm . What is the length of BD?

Answers

Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;

XZ = XY + YZ

The length of the segment BD is 36  cm

The reason the above value is correct is as follows:

Known:

The ratio in which the points A, B, C, and D divide the line segment = 4:3:1

The length of segment AD = 72 cm

Required:

The length of BD

Method:

Calculate the length of BC and CD and add their values to get BD

Solution:

Let the ratios be given unit proportions of the segment AD such that we have;

AB = 4 units

BC = 3 units

CD = 1 unit

By segment addition postulate, we have;

AD = AB + BC + CD

∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm

∴ 1 unit = 72 cm/8 = 9 cm

1 unit = 9 cm

BD = BC + CD by segment addition postulate

BC = 3 units = 3 × 1 unit

∴ BC = 3 × 9 cm = 27 cm

BC = 27 cm

CD = 1 unit

∴ CD = 9 cm

∴ BD = 27 cm + 9 cm = 36 cm

The length of segment BD = 36 cm

Learn more about segment addition postulate here:

https://brainly.com/question/17015321

if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs

Answers

Answer:

a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 5 ^{2}[/tex]

a = b

[tex]2a^{2} = 5 ^{2}[/tex]

[tex]2a^{2} = 25\\[/tex]

[tex]a^{2} = \frac{25}{5}[/tex]

a = [tex]\frac{5}{\sqrt{5} }[/tex]

must rationalize...

a =b = [tex]\frac{5\sqrt{5} }{5}[/tex]

4
Р
3
5
Q
2
.
2.5
1. The scale factor of the dilation that takes P to Qis
2. The scale factor of the dilation that takes to Pis
Blank 1:
Blank 2:

Helppppp!!

Answers

Answer:

a. 1.25

b . 0.8

Step-by-step explanation:

This is a question in scale factors

a. The sable factor that takes P to Q

In P, we are having sides 4, 2 and 3

In Q, we are having sides 2.5 and 5

From the diagrams and using the similar sides, we can see that the side length 4 became 5 while the side length 2 became 2.5

So the scale factor would be;

4 * x = 5

or

2 * x = 2.5

Where x is that dilation factor that transformed 4 into 5

Thus, x would be 5/4 or 2.5/2 = 1.25

b. The scale factor that takes Q to P

This is the direct opposite of what we have in the first question.

Here, we want to go from Q to P

To get this, we simply divide what we have in P by what we had in Q

Hence, what we do here is;

2/2.5 or 4/5 = 0.8

P-LS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The difference between the largest and smallest value in a data set is the _____________.
A. interquartile range
B. range
C. median
D. mode

Answers

Answer:

range

Step-by-step explanation:

The difference between the largest and smallest value in a data set is the range

Answer:

Range

Step-by-step explanation:

I hope this will help you buddy

Properties and characteristics of sum and difference of two cubes.

Answers

Answer:

The properties and characteristics of the sum of two cubes

1) In the sum of two cubes, the middle sign of the binomial factor on the right hand side of the equation is positive

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the sum of two cubes

The properties and characteristics of the difference of two cubes

1) In the difference of two cubes, the middle sign of the binomial factor on the right hand side of the equation is always negative

2) The trinomial factor has a middle sign that is opposite to the middle sign in the question on the difference of two cubes

Step-by-step explanation:

The sum and difference of two cubes are;

a³ + b³, and a³ - b³

Factorizing the expressions for the sum and difference of two cubes can be shown as follows;

Sum of two cubes; a³ + b³ = (a + b) × (a² - a·b + b²)

Difference of two cubes; a³ - b³ = (a - b) × (a² + a·b + b²).

Please help, I don't understand

Answers

Answer:

  sin(θ) = (2/5)√6

Step-by-step explanation:

The sine and cosine are related by the formula ...

  [tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]

Filling in the given value for cos(θ), we find the sine to be ...

  [tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]

__

The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...

  sin(θ) = (2/5)√6

Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlotte is 12 years old, find how much Ava and Charlotte will get.

Answers

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

Having trouble.. help?

Answers

Answer:

(A) [tex]y = x+3[/tex]

Step-by-step explanation:

Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.

Let's test A first.

[tex]-3 = -6+3[/tex]

Correct, let's try the second pair.

[tex]6 = 3+3[/tex]

Correct, let's try the third pair.

[tex]8 = 5+3[/tex]

So yes, this equation works.

For fun, let's try the other equations.

Let's test B.

[tex]-3 = -6-3[/tex]

This is not true as -6 -3 = -9. So this equation is immediately ruled out.

Let's test C.

[tex]-3 = 2\cdot-6[/tex]

Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.

Let's try D.

[tex]-3 = \frac{1}{2}\cdot-6[/tex]

This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.

Let's try the second pair.

[tex]6 = \frac{1}{2}\cdot3[/tex]

This doesn't work, as half of 3 is 1.5. This equation is also ruled out.

Therefore, A is the only equation that works with these pairs.

Hope this helped!

A. {(x, y): y= x + 3}

An apartment complex has several 9-story buildings, and every apartment in the complex has a unique number. On the first floor of one of the buildings, you see four apartments numbered 109, 110, 111, and 112. In which building and on which floor is apartment 207?

Answers

Answer:

Apartment 207 is a second floor apartment in Building 2.

Step-by-step explanation:

Since one building has four first floor apartments, then I'd think all buildings have 4 apartments per floor. Since one building has first floor apartment numbers 109, 110, 111, and 112, then I'd think there is a building with first floor apartment numbers 101, 102, 103, and 104, and another building with first floor apartment numbers 105, 106, 107, 108.

Building 1 First floor: 101, 102, 103, 104

Building 2 First floor: 105, 106, 107, 108

Building 3 First floor: 109, 110, 111, 112

Building 2 Second floor: 205, 206, 207, 208

Apartment 207 is a second floor apartment in Building 2.

Over what axis was the square reflected in the first example?

The x-axis

The y-axis

Answers

What example
————————

Answer:

The x-axis!

Step-by-step explanation:

Vicky jogged 2 3/4 miles in 1/2 hour. What was her average rate of speed in miles per hour?

Answers

Answer:

5 1/2

Step-by-step explanation:

a) r=d/t

   11/4x2/1= 22/4= 5 1/2

b) 1/2 hour x 2 equals one hour, so 2 3/4 x 2 equals rate per hr.

11/4x2=22/4= 5 1/2

Answer:

1 mph

Step-by-step explanation:

All you have to do is follow the formula. Distance/time=mph

What the answer now

Answers

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

[tex] \frac{v}{sin(21)} = \frac{19}{sin(137)} [/tex]

Multiply both sides by sin(21)

[tex] \frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21) [/tex]

[tex] v = \frac{19*sin(21)}{sin(137)} [/tex]

[tex] v = 10 yd [/tex] (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

20. Which ordered pair is a solution to
y = 7x - 3?
A. (-2, -17) C. (2,7)
B. (-2, 11) D. (2, 14)

Answers

Answer:

A.

Step-by-step explanation:

Here's how to determine if a ordered pair is a solution to an inequality

Step 1. Take the ordered pair and substitute their x and y values to the inequality

Inequality: [tex]y=7x-3[/tex]

Ordered pair: [tex](-2,-17)[/tex]

Answer: [tex]y=7x-3[/tex]

              [tex]-17=7(-2)-3[/tex]

Step 2. Solve

[tex]-17=7(-2)-3[/tex]

[tex]-17=-14-3[/tex]

[tex]-17=-17[/tex]

Therefore, [tex](-2,-17)[/tex] is a solution to the inequality

PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5

o x>1/6
o x<1/6
o x>6
o x<6

Answers

Answer:

1/6 <x

Step-by-step explanation:

-2(8 x - 4) < 2x + 5

distribute

-16x+8 < 2x+5

Add 16x to each side

-16x+16+8 < 2x+16x+5

8<18x+5

Subtract 5 from each side

8-5 < 18x+5-5

3<18x

Divide by 18

3/18 <18x/18

1/6 <x

I think it migth be the first one

give me brainlieSt

it is 1/6

WILL AWARD BRAINLIEST IF CORRECT!!!!! ALSO PLEASR HURRY I'M ON A TIMER!! Which graph represents the following piecewise defined function? (images attatched)

Answers

Answer:

The last one.

Step-by-step explanation:

For x>3, the graph should start at x=3 and y = 2*3-3 = 3 with an open circle, since x must not be equal to 3.

The last graph is the only one that has that.

Furthermore, the middle part is a straight line from -2 ≤ x ≤ 3. The 'or equals' part in there reveals that the straight line segment should have closed circles, all solutions that don't have that can be discarded. So that hint alone points you to the last solution.

evaluate :5/63-(-6/21)​

Answers

Answer:

answer is [tex]\frac{23}{63}[/tex]

Step-by-step explanation:

the equation is

[tex]\frac{5}{63}-(-\frac{6}{21} )[/tex]

=> [tex]\frac{5}{63}+\frac{6}{21}[/tex]

=> [tex]\frac{5}{63}+\frac{2}{7}[/tex] ;(divide numerator and denominator of [tex]\frac{6}{21}[/tex] by 3)

=> [tex]\frac{5+2*9}{63}[/tex]

=> [tex]\frac{23}{63}[/tex]

hope you have understood this

pls mark it as the brainliest

Please help explanation if possible

Answers

Answer:

Jordans' age = 31 ; Anna's age = 19

Step-by-step explanation:

Given the 2 equations relating their ages

J + A = 50 → (1)

J = 12 + A → (2)

Substitute J = 12 + A into (1)

12 + A + A = 50

12 + 2A = 50 ( subtract 12 from both sides )

2A = 38 ( divide both sides by 2 )

A = 19

Substitute A = 19 into (2)

J = 12 + 19 = 31

Then Jordans' age = 31 ; Anna's age = 19

Answer:

Step-by-step explanation:

J = 12 + A equation 1

J + A = 50 equation 2

Solving equation 2

J + A = 50

A = 50 - J equation 3

Putting value of A in equation 1

J = 12 + A

J = 12 + 50 - J

Bringing like terms on one side

J + J = 12 + 50

2J = 62

J = 62/2 = 31

Putting value of J in equation 3

A = 50 - J

A = 50 - 31 = 19

Checking answer by putting values in equation 2

J + A = 50

31 + 19 = 50

50 = 50

So the age of Jordan is 31 and Anna is 19

Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)

Answers

Answer:

0

Step-by-step explanation:

Notice that the last factor is null (9×0)

So the result will be null since any number that is multiplied by 0 equals 0.

the length and breadth of a hall is two times its breadth and the breadth is two times its height if the cost of papering its wall at rs 25 per sq metre is rs 10800 find the cost of paving marbles on its floor at rs 250 per sq .metre
.•♫•♬•plzz helpp•♬•♫•.•♬•♫•.​

Answers

Answer:

Answer

Let height of the room be 'h' m.

∴ length of the room=2hm

breadth of the room=

2

3

hm.

area of 4 walls=

1.60

179.20

=112m

2

2(l+b)×h=112

2(2h+

2

3

h)×h=112

2

7

×h

2

=112

h

2

=

14

112×2

=16

h=

16

=4m

length=4×2=8m, breadth=

2

3

×4=6m

for, tiling the floor area=l×b=8×6=48m

cost of tiling=48×6.75=Rs.324

Help meh pweeeeaaaasssseeee!

Answers

Answer:

The name of the given figure in two different ways are - J⇔U and U⇔J

The angles of a triangle are in the ratio 11 : 5 : 2. The side opposite the largest angle is 5.5 centimeters. The length of the side opposite the smallest angle of the triangle is centimeters.

Answers

Answer:

  2.0 cm

Step-by-step explanation:

The sum of ratio units is 11 +5 +2 = 18, so each one stands for 10° of angle. Then the largest angle is 110°, and the smallest is 20°. The law of sines can help us find the smallest side (x):

  x/sin(20°) = 5.5/sin(110°)

  x = 5.5·sin(20°)/sin(110°) ≈ 2.00

The side opposite the smallest angle is 2.0 cm.

Answer:

the anser is 2

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

A. (3, 5)

Step-by-step explanation:

J is currently at (3, -5). As it's reflected, the x coordinate will stay the same, and the y coordinate will switch signs since we're going from negative to positive. Our answer is (3, 5).

8 kids bought a 3 cakes. How many equal parts will need to divide it so that everyone can have it. Easy one! ​

Answers

Answer:

3/8 is your answer.

Step-by-step explanation:

Given:

8 kids bought a 3 cakes.

Required:

How many equal parts will need to divide it so that everyone can have it.

Solution:

3/8

Hope this helps ;) ❤❤❤

it would be 3/8! hope you found this helpful!

This data set is ages at first job. 14, 14, 16, 16, 17, 17, 18, 20, 21, 23 Construct a boxplot. Make sure to include labels.

Answers

Answer:

Please find attached the required box and whiskers plot

Step-by-step explanation:

The numbers are given in arranged order as follows;

14, 14, 16, 16, 17, 17, 18, 20, 21, 23

The five number summary are;

The minimum value = 14

The maximum value = 23

The first quartile, Q₁, is the (n + 1)/4th term or the 2.75th term  = 14 + 0.75×(16 - 14) = 15.5

The second quartile, Q₂, (the median) is the  (n + 1)/2th term or the 5.5th term = 17

The third quartile, Q₃, is the  3(n + 1)/4th term or the 8.25th term  = 20 + 0.25×(21 - 20) = 20.25.

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