Translate sentence into an equation. Then ſind each number.
1. Seven more than three times a number is 16.
How to translate it

Answer:

A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can form up a simultaneous equation and get the value of a.

To determine the value of a, set up and solve a system of equations in two variables

For the X coordinates;

X = x₁+x₂/2

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1  * 1

For the Y coordinates;

5 = a+2+3b+3/2

cross multiply

10 =  a+2+3b+3

collect like terms

a+3b = 10-2-3

a+3b = 5 ........ 2  * 2

Solving the resulting  simultaneous equation to get the value of a

multiply equation 1 by 1 and 2 by 2 to have the resulting equations;

2a+b = 5 ...........3  

2a +6b = 10.......... 4

subtract 3 from 4

(2a-2a)+(b - 6b) = 5-10

0-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 1 to get a;

2a + b = 5

2a + 1 = 5

2a = 5-1

2a = 4

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

Answer:

$70.62

Step-by-step explanation:

25.62 is the money he had overdrawn

45 is the money money charged buy the bank for overdraft fee

So the Total balance to the bank is

25.62+45=$70.62

Complementary angles are angles whose sum is 90 degrees.

This means that we can make an equation.

[tex](8x-23)+(7x-7)=90[/tex]

[tex]15x-30=90[/tex]

[tex]15x=120[/tex]

[tex]x=8[/tex]

Then we can plug in the value we got into the express for angle A's measure.

[tex]8(5)-23[/tex]

[tex]40-23[/tex]

[tex]17[/tex]

The measure of angle A is 17 degrees.

Hope this helps.

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Answer:

4 hours and 7 hours

Step-by-step explanation:

Marcus = x hours

Donnell = x + 3 hours

Total = 11 hours

So Marcus practiced 4 hours and Donnell practiced  7 hours

Answer:Marcus=4 Donnell=7

Step-by-step explanation:11-3=8

8÷2 =4

4+3=7 hours used by Donnell

Remaining 4 hours is used by Marcus

Answer:

18

Step-by-step explanation:

Every 2 is 10 percent.

2 x 9 = 18.

The answer is 18.

Answer:

18%

Step-by-step explanation:

change 90 to a decimal and 20 and multiply then you would get 18 add a % sign and you have your answer

Answer:

220

Step-by-step explanation:

I hope this helps you

Answer:

Step-by-step explanation:

Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB  then AM+MB = AB (addition property)

Substituting the given parameters into the addition property above;

AM+MB = AB

4x + 4 + 6x - 10 = 64

combine like terms

4x+6x = 64+10-4

10x = 74-4

10x = 70

Divide both sides by 10

x = 70/10

x = 7

Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM

To get AM ;

Since AM = 4x+4

substitute x = 7 into the function

AM = 4(7)+4

AM = 28+4

AM = 32

Similarly, BM = 6x-10

BM = 6(7)-10

BM = 42-10

BM = 32

Since AM = BM = 32,. then M is the midpoint of AB

Answer:

Step-by-step explanation:

Answer:

-5/6,-1/2,2/3

Step-by-step explanation:

Answer:

25π/6 yd

Step-by-step explanation:

∠DCE = 110°, so arc DFE = 360° − 110° = 250°.

In radians, that's 250° × π/180° = 25π/18.

Arc length is:

s = rθ

s = (3 yd) (25π/18)

s = 25π/6 yd

Answer:

A

Step-by-step explanation:

Looking at the interval, we can see that this includes all of the numbers coming from negative infinity all the way up to -1.

In other words, the set being described here are all the numbers less than or equal to -1.

Another way to write this is all numbers no more than -1.

Thus, our answer is A.

And we're done!

Answer:

D. 3:5 and E. 15:25

Step-by-step explanation:

If it is 60%, it means that the ratio is 6:10 (60/100).

Because both 6 and 10 are divisible by 2, we can then simplify the ratio to 3:5.

Therefore it is D. 3:5

We can then multiply both sides by 5 which will give us 15:25, so E is also correct.

The others of not correct because they are not equivalent to the ratio 3:5.

Hope this helped!

Answer:

12.5 =x

Step-by-step explanation:

15 = 2x – 10

Add 10 to each side

15+10 = 2x – 10+10

25 = 2x

Divide by 2

25/2 = 2x/2

12.5 =x

Answer:

25/2

Step-by-step explanation:

2x-10=15

  +10 +10

2x=25

divide both sides by 2 to get 25/2

Answer: 16

Step-by-step explanation:

From the question, we are informed that Nicole used 3/8 of her ribbon to wrap a present and that she used 6 feet of ribbon for the present,

To know how much ribbon did Nicole have at first goes thus:

Let the ribbon Nicole has at first be y

Since she used 3/8, this will be:

3/8 × y = 6

3y/8 = 6

Cross multiply

3y = 6 × 8

3y = 48

y = 48/3

y = 16

She had 16 ribbons at first

Answer:

x = 6

Step-by-step explanation:

find the x value for one triangle then times it by 2

Pythagorean Theorem: [tex]a^{2}+b^{2}=c^{2}[/tex]

[tex]c=\sqrt{13}[/tex]

[tex]a=2[/tex]

Square c and subtract a from it.

[tex]13-4 = 9[/tex]

square root 9 to get have of the x value, then multiply it by 2

[tex]2\sqrt{9}=6[/tex]

[tex]x=6[/tex]

Answer:

It can either be length , width or the perimeter of the banner

Step-by-step explanation:

The measurement of 10 meters that Jane took after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

Correct question is;

The medical thermometer commonly used in homes can be read +/-0.1 °F, whereas those in the doctor's office may be accurate to +/- 0.1 C in degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9 °C

Answer:

A) percent error in homes = 0.144 %

B) percent error in doctors office = 0.257 %

Step-by-step explanation:

A) Temperature is 38.9° C

Converting to Fahrenheit using the formula; (°C × 9/5) + 32

So;

(38.9°C × 9/5) + 32 = 102.02 °F

Since thermometer in homes can be read to +/-0.1 °F, then

Expected values = 102.02 +/- 0.1 = 102.12 °F or 101.92 °F

Since we want to find the error from °C, let's convert to °C.

We will use 101.92 °F.

Thus; 102.12 °F = (101.92 - 32) × 5/9 = 38.844 °C

Thus percent error = (38.9 - 38.844)/38.9) × 100% = 0.144 %

B) Temperature is 38.9 °C

Since thermometer in Doctors office can be +/- 0.1 °C, then;

Expected values = 38.9 +/- 0.1 = 38.8 °C or 39 °C.

We will use 38.8°C

Thus;

percent error = (38.9 - 38.8)/38.9) × 100% = 0.257 %

Answer:

Your answer is B

Step-by-step explanation:

Because if they are already $60 and she wants one more it would be $75

The cost for the 6th pajama bought by Keli is given as $85.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

The equation of the straight line from the given graph can be formed as below,

Take any two coordinates from the graph as (1, 10) and (2, 25) respectively.

Suppose the cost be y and the number of pajamas be x.

Now, the equation for the slope can be written as,

(y - 10)/(x - 1) = (25 - 10)/(2 - 1)

⇒ (y - 10)/(x - 1) = 15

⇒ y = 15x - 5.

Then, the cost of 6th pajama can be calculated by substituting x = 6 in the above equation as,

y = 15 × 6 - 5

  = 85

Hence, the cost of sixth pair of pajama is $85.

To know more about straight line equation click on,

brainly.com/question/21627259

#SPJ2

Answer:

Apply inverse law

a a⁻¹ = 1

The solution of the given linear equation is x = -6

Step-by-step explanation:

Step(i):-

Given equation -3 x-5=13

Adding '5' on both sides, we get

- 3 x - 5 + 5 = 13  + 5

- 3 x  = 1 8

step(ii):-

apply inverse law

a a⁻¹ = 1

(- 3)(-3)⁻¹ x = 18 (-3)⁻¹

x = 18/-3 = -6

(or)

Dividing '-3' on both sides , we get

                            [tex]\frac{-3 x}{ -3} = \frac{18}{-3}[/tex]

                             x =- 6

Answer:

agree with previous answer

Answer:

416

Step-by-step explanation:

Answer:

[tex]n = \frac{l-a}{d}+1[/tex]

Step-by-step explanation:

[tex]l= a+(n-1)d\\[/tex]

[tex]l -a =(n+1)d[/tex]

Divide both sides of the equation by d

[tex]\frac{l-a}{d} = \frac{(n-1)}{d}\\ \\\frac{l-a}{d} = n-1\\\\\frac{l-a}{d}+1 = n[/tex]

it is 3.875

if you subract the two fraction it makes 31/8. then devide it which makes 3.875

Answer:

Step-by-step explanation:

Hello,

1km=1000m, right?

so 7km = 7 * 1000 m = 7000m

thanks

Answer:

a

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

you can use m a th w ay to help you

Answer:

49

Step-by-step explanation:

Complementary angles always add up to 90 degrees, so make and equation. First, say that angle ABC and angle QRS add up to ninety degrees. Substitute the values to get 41 degrees plus angle QRS equals 90 degrees, and once you subtract 41 from both sides, you get angle QRS equals 49 degrees.

Hope this helps. :)

The QRS is 49

We know that

The complementary angles are those whose sum is 90 degrees

So,

x + 41 = 90

x = 49

So, QRS = 49

Learn more about the angle here: https://brainly.com/question/2368234

Answer:

2 m/s

Step-by-step explanation:

Since speed is total distance over time, we first need to find the total distance the car traveled.

Total distance = 200 + 80 + 120 = 400 m

total time = 200 sec

speed = distance/time = 400/200 = 2 m/s

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