in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answer:

Apply the concept of:

a²+b²=c²

1. 5²+4²=c²

  25+16=c²

        c²=41

         c=6.4 (to nearest tenth)

Do the same for the other qns.

Answer:

d = mn/F

Step-by-step explanation:

F = mn/d

multiply both sides with d

d*F = mn/d*d

dF=mn

divide F from both sides

d/F = mn/F

So..

d = mn/F

Answer:

Given:

[tex] \boxed{ \mathsf{F = \frac{mn}{d} }}[/tex]

Divide both sides by "mn":

[tex] \mathsf{ \frac{F}{mn} = \frac{mn}{d \times mn} }[/tex]

The two mn's on the RHS gets canceled out. So we're left with:

[tex] \mathsf{ \frac{F}{mn} = \frac{1}{d} }[/tex]

Invert the fractions present on either side of the "equals" sign

(In other words, flip it on its head so its numerator becomes its denominator and vice):

[tex] \mathsf{ \frac{mn}{F} = \frac{d}{1} }[/tex]

Hence, we got the value of d:

[tex] \underline{\mathsf{ d= \frac{mn}{F} }}[/tex]

Answer:

3.25

Reasoning:

[tex]\frac{6.5}{2}[/tex]

[tex]3.25[/tex]

Answer:

24 adults

Step-by-step explanation:

because it's just subtract 212-188=24

I think

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

Answer:

y= -13 x= -1

Step-by-step explanation:

y=6x+8

y=6(-3)+8

y= -21+8

y=-13

2=6x+8

-8=6x

-6=6x

x= -6/6= -1

Step-by-step explanation:

what's the question ? it does not say.

I assume it is "how many packages of what size were sold ?"

x = number of small packages

y = number of medium packages sold

z = number of large packages sold

x + y + z = 9

7x + 12y + 15z = 86

y = 3z

these are the 3 equations we get out of the question.

we put the third equation into the other two :

x + 3z + z = x + 4z = 9

7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86

it of this first equation we get

x = -4z + 9

and putting that into the other equation :

7×(-4z + 9) + 51z = 86

-28z + 63 + 51z = 86

23z = 23

z = 1

y = 3z = 3×1 = 3

x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5

so, 5 small, 3 medium and 1 large packages were sold.

Answer: where is the question??

what do you need help with?

Answer:

36

Step-by-step explanation:

Same side

Answer:

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

Answer:

(1, 24 )

Step-by-step explanation:

Substitute any value of x into the equation and evaluate for y

x = 1 → y = 3(1) + 21 = 3 + 21 = 24 , then

(1, 24 ) is a a solution to the equation

Answer:

96 cm^3

Step-by-step explanation:

multiply the three dimensions: 4*6*4=96

Answer:

V=l×W×h

=4cm×6cm×4cm

=96cm cubic

Answer:

20

Step-by-step explanation:

first, find out how much money you already made:

78 x 3 = 234

then, find out how much more you need to make:

350-234=116

divide the price of candy baskets by the amount of money left y out need to make:

116/6=19.3

round becauee you can’t sell .3 of a basket

19.3 rounds to 20

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

Step-by-step explanation:

the same factor of one dimension or one line applies then for all dimensions or lines.

the length goes from 16 to 32 cm. that means it doubles.

so, we need to double also the width :

10.5 × 2 = 21 cm

therefore, the first answer option is correct.

Answer:

make me brainliest

Step-by-step explanation:

1: x ≤ 18/5

2: x > 4

3: x  ≤ 4

4: x < 12

5: x > 1/4

6: x ≤ 2

7: x ≤ 5

8: x > 10

9: x < 5/2

10:7/3x^2 + 4/3x + 12

11: 2 < x < 15

12:25/2 < x ≤ 45/2

Answer:

Step-by-step explanation:

Answer:490

Step-by-step explanation:

Answer:

Step-by-step explanation:

=> 8.2x + 9y + 2(2.5x) + 10xy

=> 8.2x + 9y + 5x+ 10xy

=> 13.2x + 9y + 10xy

Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.

Answer:

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

--------------------------

Answer: 50

Step-by-step explanation  :<

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

sum is the process of adding two numbers.

Answer:

Vector PQ = 48 deg

Vector QP = -PQ =  48 + 180 = 228 deg

Note that 228 is 48 deg below the -x (180) axis

Answer:

?

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation: m = slope

Answer:

3 is 37.5% of 8 so the answer is about 37%

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Three male and five female.

So, we need to find out the mall.

We can divide this out of 8.

3/8 and 5/8.

Male - 37.5%

Female - 62.5%

Answer:

30:1

Step-by-step explanation:

If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

Answer:

[tex] \frac{88}{4} \\ 22 \\ here \: u \: go[/tex]

Answer:

22 cm

Step-by-step explanation:

The angle subtended at the centre by the arc is 90°

This represents [tex]\frac{90}{360}[/tex] = [tex]\frac{1}{4}[/tex] of the circle

The arc length will be quarter of the circumference, that is

arc = [tex]\frac{1}{4}[/tex] × 88 = 22 cm