help to solve -7 - 3a = 1 - 4a

Answer:

74

Step-by-step explanation:

22/7 × 14 × ½ × 2 = 44

15 + 15 = 30

30 + 44 = 74

Answer:

To the nearest Hundredth = 1.17

Step-by-step explanation:

CARRYING THE DIVISION OF 1.4 / 1.2 to the nearest hundredths place

= 1.4 / 1.2

= 1.16666667

≈ 1.17

rounding off to the nearest hundredth means rounding off your answer to only two decimal places

Answer:

40

Step-by-step explanation:

123 / 3 = 41, which will inevitably be at the center of the three numbers, so we have 40, 41 and 42

Answer:

[tex]x\leq6\text{ or } x>30[/tex]

Step-by-step explanation:

We are given the compound inequality:

[tex]\displaystyle 9x+4\leq 58\text{ or } \frac{1}{6}x-2>3[/tex]

Note that this is an "or" inequality. In other words, we just have to solve each inequality individually and then combine the answers!

1)

We have:

[tex]9x+4\leq58[/tex]

Subtract 4 from both sides:

[tex]9x\leq54[/tex]

Divide both sides by 9:

[tex]x\leq6[/tex]

So, our first solution is all numbers less than or equal to 6.

2)

We have:

[tex]\displaystyle \frac{1}{6}x-2>3[/tex]

Add 2 to both sides:

[tex]\displaystyle \frac{1}{6}x>5[/tex]

To cancel out the fraction, let's multiply both sides by 6. So:

[tex]\displaystyle 6\left(\frac{1}{6}x\right)>6(5)[/tex]

The left side will cancel. Therefore:

[tex]x>30[/tex]

So, our second solution is all numbers greater than 30.

Therefore, our full solution will be:

[tex]x\leq6\text{ or } x>30[/tex]

And we're done!

Answer:

−8x−7y=96 (* 5)

−3x+5y=−25  (* 7)

-40x - 35y = 480

-21x + 35y = -175

=> -61x = 305

x = -305/61

x = -5

-3x + 5y = -25  

-3 * (-5) + 5y = -25

5y = -40

y = -8 =>

x = -5

y = -8

9x+4≤58 or 16x−2>3

9x ≤ 54 or 16x > 5

x ≤ 6 or x > 5/16

Answer:

d = 4

Step-by-step explanation:

24 - 5d = d

24 = 6d

24 / 6 = 4

d = 4

Hope this helps :)

Answer:

444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444

Step-by-step explanation:

Answer:

Implicit function

[tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]

Step-by-step explanation:

Explanation:-

Given  y² + x - 3=0 ...(i)

Differentiating equation (i) with respective to 'x', we get

                   [tex]2 y \frac{d y}{d x} +1 = 0[/tex]

           ⇒     [tex]2 y \frac{d y}{d x} = -1[/tex]

           ⇒     [tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]

                 [tex]\frac{d y}{d x} = \frac{-1}{2 (3)}[/tex]

                 [tex]\frac{d y}{d x} = \frac{-1}{6}[/tex]

Answer:

Step-by-step explanation:

Initial number of cards = c

Sold

Remaining

1/5 of r = 7

Initial number:

Step-by-step explanation:

[tex]2 \frac{1}{3} = \frac{7}{3} [/tex]

[tex]4 \frac{1}{5} = \frac{21}{5} [/tex]

[tex] \frac{7}{3} \times \frac{21}{5} = \frac{147}{15} = 9 \frac{12}{15} [/tex]

Answer:

C

Step-by-step explanation:

Answer:

  4 right; 4 up

Step-by-step explanation:

The difference between the two points is ...

  P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)

The translation is 4 units to the right and 4 units up.

Answer:

1

Step-by-step explanation:

We have the graph of f(x).

In order to find f(0), we simply need to find the y-coordinate of the coordinate when x is 0.  

From the graph, we can see that there is a point at (0,1).

In other words, when x is 0, f(x) is 1.

Therefore:

[tex]f(0)=1[/tex]

Answer:

[tex]\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}[/tex]

Step-by-step explanation:

We can simplify this expression down so that we have x isolated on one side of the equation.

So we can take the square root of both sides.

[tex]x = \sqrt{\frac{1}{100}}[/tex]

The square root of [tex]\frac{1}{100}[/tex] will be the number that, when multiplied by itself, will get us [tex]\frac{1}{100}[/tex].

In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.

[tex]1^2 = 1[/tex]

[tex]10^2 = 100[/tex]

This means that we have the values 1 and 10. Therefore one of our fractions is [tex]\frac{1}{10}[/tex].

HOWEVER: A negative number squared is a positive. So this also works:

[tex]-1^2 = 1\\\\-10^2=10[/tex]

So we have [tex]-\frac{1}{10}[/tex] along with  [tex]\frac{1}{10}[/tex].

Hope this helped!

Answer:

Angle C  ∠C = 160.49°

side b =  0.522  m

side a = 17.34 m

Step-by-step explanation:

Given that;

In a Δ ABC,

∠A = 18.95°

∠B = 0.56°

∠C = ???

side A = ???

side B = ???

side C = 17.83 m

We are to determine the unknown missing sides and the angle.

We know that, the sum of angles in a triangle = 180°

∴

∠A + ∠B + ∠C = 180°

18.95° + 0.56° + ∠C = 180°

∠C = 180° - 18.95° - 0.56°

∠C = 160.49°

Using sine rule to determine the unknown sides. The sine rule can be expressed as:

[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]

To determine side b, we have:

[tex]\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]

[tex]\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }[/tex]

[tex]\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}[/tex]

[tex]\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}[/tex]

[tex]\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}[/tex]

[tex]\mathtt{ b = \dfrac{0.174265071}{0.33397}}[/tex]

b  = 0.522  m

For side a, we have

[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }[/tex]

[tex]\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }[/tex]

[tex]\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}[/tex]

[tex]\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}[/tex]

[tex]\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}[/tex]

a = 17.34 m

Step-by-step explanation:

Y = M X + C

6 = -2 × -1 + C

6 = 2 + C

6 - 2 = C

4 = C

Answer:

b = 8

Step-by-step explanation:

6 = 2(-1) + b

6 = -2 + b

8 = b

Answer:

55.08

Step-by-step explanation:

6.12 times 9

55.08

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 165°}}}}}[/tex]

Step-by-step explanation:

Sum of complete turn adds up to 360°

Given angles : 63° , 42 ° , 90 ° , x°

To find : x

Create an equation

[tex] \sf{x + 63° + 42° + 90° = 360°}[/tex]

[tex] \dashrightarrow{ \sf{x + 195° = 360°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 360° - 195°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 165°}}[/tex]

Hope I helped!

Best regards! :D

Answer:

15 cakes

Step-by-step explanation:

Cross multiply: 125(3)=25x

Simplify: 375=25x

Divide 25 on both sides: 15

Add units!

Hope it helps! Comment if you have any questions!

Answer:

96.5606

Step-by-step explanation:

I hope this helps :)

Answer:

3x - 10

Step-by-step explanation:

first set up the like variables next to each other

-4x + 7x - 7 - 3

Then, combine like variables

-4x + 7x = 3x

-7 - 3 = -10

The answer is:

3x - 10

Answer: 3x - 10

Step-by-step explanation:

To simplify you need to combine all like terms, and the only terms here are x terms and number ones, so you would combine those to have

3x - 10

7x - 4x

-7 -3

Answer:

[tex]\boxed{\bold{[C] \ \ \ \ \frac{1}{3^5} } }}[/tex]

Explanation:

Apply Exponent Rule: [tex]\bold{\:a^{-b}=\frac{1}{a^b}}[/tex]

[tex]\bold{3^{-5}: \ \frac{1}{3^5} }[/tex]

The equivalent expression for [tex]3^{-5[/tex] using exponent is [tex]\( \dfrac{1}{3^5} \)[/tex].

Explanation:

When we have a negative exponent, it indicates the reciprocal of the base raised to the positive exponent.

In this case, [tex]3^{-5[/tex] means the reciprocal of [tex]3^5[/tex].

To compute [tex]\( 3^5 \)[/tex] raise 3 to the power of 5, which gives us

[tex]\( 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \)[/tex]

Now, to get the reciprocal of 243,

simply take [tex]\( \dfrac{1}{243} \)[/tex], which is the same as [tex]\( \dfrac{1}{3^5} \)[/tex].

So, [tex]\( 3^{-5} = \dfrac{1}{3^5} = \dfrac{1}{243} \)[/tex].

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Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When  4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.

Answer:

x=60

Step-by-step explanation:

here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.

x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90

and 30+2x+y = 180 ,

2x+y=150, (180-30)

then two equations can be made.

x+y=90

2x+y=150

simplifying these two simultaneous equations

can get x as 60. and 2x is 120.

The value of x is 60°

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Here, DOB and AOC have equal values and are at vertically opposed angles. Let's use y to represent the two angles.

Since EOA is 90 and the total of the angles in a straight line is 180, x+DOB equals 90 and can be written as x+y=90.

And 30 + 2x + y = 180 ,

⇒ 2x+y = 180-30

⇒ 2x + y = 150,

After which two equations can be created.

⇒ x+y=90

⇒ 2x+y=150

We have the two simultaneous equations made simpler.

We can get x as 60. and 2x as 120.

Thus, the value of x is 60°

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Answer:

its yes

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

RT= x- 1 = 15 - 1 = 14

Answer:

f(7)= -48

Step-by-step explanation:

Evaluate f(x)= -3(9+x) for x=7.

Substitute 7 for x in f(x)=-3(9+x), obtaining f(7)= -48

Answer:

[tex]f=278[/tex]

Step-by-step explanation:

[tex]f-81=197[/tex]

Add 81 to both sides:

[tex]f-81+81=197+81[/tex]

[tex]f=278[/tex]

Answer:

1872

Step-by-step explanation:

Plug is 16 for x

f(x)=13(4−x)^2

f(16)=13(4−16)^2

f(16)=13(-12)^2

-12^2=144

f(16)=13(144)

f(16)=1872

Hope this helps! Plz award Brainliest : )

The value of function f(x)= 13(4 - x)² at x= 16 is 1872.

To find the value of f(16), we substitute x = 16 into the expression for f(x) and evaluate it.

f(x) = 13(4 - x)²

Substituting x = 16:

f(16) = 13(4 - 16)²

Now, let's calculate:

f(16) = 13(-12)²

      = 13(144)

      = 1872

Therefore, the value of f(16) is 1872.

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Answer:

14, 15, 16

Step-by-step explanation:

45-2 The difference in integers, that way they're all the same number

43/3=14

14, 15, 16

Dividing any positive number m over (m+1) leads to a positive result that is smaller than one. This is because the denominator is larger than the numerator.

However, if m is negative, then it's a different story. Consider m = -2

If m = -2, then m+1 = -2+1 = -1

Meaning that [tex]\frac{m}{m+1} = \frac{-2}{-1} = 2[/tex] but this result is not less than 1

So m = -2 is one counterexample of infinitely many to show that [tex]\frac{m}{m+1} < 1, \text{ with } m \ne -1[/tex] is not always true. If you restricted m to be positive, then the inequality would be true.

Answer:

30

Step-by-step explanation:

g(11)= 11-2=9

f(9)= 9²-54+3= 30