Solve the following problem. Round to one decimal place if necssary.

Answer:

0.5t + 0.25(t +16) =4 + 0.75t

0.5t + 0.25t + 4 = 4 + 0.75t

0.5t+ 0.25t – 0.75 t = 4– 4

0.5t +0.25t–0.75t = 0 —> 0 = 0

I hope I helped you^_^

Answer: All Real Numbers or A.R.N

Step-by-step explanation:

Given

0.5t + 0.25 (t + 16) = 4 + 0.75t

Expand parentheses and apply the distributive property

0.5t + 0.25 · t + 0.25 · 16 = 4 + 0.75t

0.5t + 0.25t +4 = 4 + 0.75t

Combine like terms

0.75t + 4 = 4 + 0.75t

Subtract 0.75t on both sides

0.75t + 4 - 0.75t = 4 + 0.75t - 0.75t

4 = 4

Since both sides are left with the same term, this means any number would be able to make the equation true.

Therefore the answer would be All Real Numbers, or [tex]\boxed{A.R.N}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C

Step-by-step explanation:

y=kx or xy=k are true such that k=0.3

in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule

Answer:

○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]

When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.

* Here is something you should know:

[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

Answer:

19.95t - $10

Step-by-step explanation:

I think this is the answer but i could be absolutely wrong

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

Answer:

A × B + C × D + E

1 × 2 + 3 × 4 + 5

= 19

Answer:

x=-5 y=2

Step-by-step explanation:

1) multiplying equation 1 by 4 and multiplying equation 2 by 2 .

2)adding them we get value of y.

3) replacing value of y in either of given equation

Answer:

7b(a+2)

Step-by-step explanation:

First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.

Then find the variable both terms share.

Put the GCF coeffiecnt and the variable both terms share outside the parentheses.

Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.

For example, 7ab+14b.

Set up equation.

[tex]7ab + 14b[/tex]

Both terms share a b variable and 7 and 14 GCF is 7 so

let factor out 7b.

[tex]7b(a + 2)[/tex]

Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get

[tex]a + 2[/tex]

Answer:

No they do not have to be congruent.

Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.

Answer:

EF ≈ 18.68

Step-by-step explanation:

Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)

d =√ (x2 - x1)² + (y2 - y1)²   -->   (this is the distance formula)

d =√ (11 - (-7))² + (3 - (-2))²

d =√ (18)² + (5)²

d =√ 324 + 25

d =√ 349

d ≈ 18.68

Answer:

(7/12) + (4q/6)

Step-by-step explanation:

[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

(11/12  and 1/3 are like terms)  & (-1q/6 & 5q/6 are like terms}

[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]

Answer:

4x° = (80 - x)°

Step-by-step explanation:

These angles are known as vertical angles. Vertical angles are equal to one another.

Answer:

64

Step-by-step explanation:

4x=80-x

16×4=64

80-16=

2.

Simply do 166 divided by 83 and you'll have your answer

Answer:

[tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept

First, write the equation in slope-intercept form

[tex]y=-\frac{3}{4}x+b[/tex]

Next, use the point to substitute the x and y value and solve for the y-intercept

[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept

point: (8, 1)

[tex]1=-\frac{3}{4}(8)+b[/tex]

Then multiply 8 and -3/4

[tex]1=-6+b[/tex]

Finally, solve for the b (y-intercept)

b = [tex]1--6[/tex]

b = 7

so the y-intercept is 7

And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

Answer:

0.63636363~ (63 repeats, cant find the symbol here :( )

rational number means it can be expressed as a fraction, 0.636363636~ =7/11

Answer:

12 - (¼*x)

Step-by-step explanation:

If something is "decreased by" in mathematics we are looking at a minus sign (-).

For instance 5 decreased by 2 is 5 - 2

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

Answer:

7 dimes and 12 nickels.

Step-by-step explanation:

12 nickels = $0.60 and 7 dimes = $0.70. $0.70 + $0.60 = $1.30.

Answer:

Convert to a decimal by dividing the numerator by the denominator.

$1.15 = Estimate.

pens per then .

Step-by-step explanation:

14 Divided 12.44

Answer:  Is the equation enered correctly?  

1.  The second term, (-3x^2-4x^2+1) is the same as (-7x^2 + 1)

2.  I don't see how the answer could contain an x^5 term.  The largest I see from the information is x^4

Step-by-step explanation:

[tex]\\ \sf\longmapsto \dfrac{2}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1(5)}{2(5)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto 0.5[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3(25)}{4(25)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{75}{100}[/tex]

[tex]\\ \sf\longmapsto 0.75[/tex]

#3

[tex]\\ \sf\longmapsto \dfrac{7}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7(125)}{8(125)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{875}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.875[/tex]

#3

[tex]\\ \sf\longmapsto \dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3(125)}{8(125)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{375}{1000}[/tex]

[tex]\\ \sf\longmapsto 0.375[/tex]

Answer:

12

Step-by-step explanation:

she is now 12 years old.how easy question.

9514 1404 393

Answer:

  no

Step-by-step explanation:

The expression 2·4 has the value 8.

The expression 8x has the value 8x, which is only equal to 8 when x=1. In general, x may have any value, so the expressions are not equal.

Step-by-step explanation:

the process is shown above hope you understand.

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

1/3(21y+39)=-26 can be simplified into

7y +13 = -26

Next, subtract 13 from both sides

7y= -39

Now divide both sides by 7

Your answer is y=-39/7

Answer:

y = -7

Step-by-step explanation:

1/3 (21y+39) = -36

Distribute

7y +13 = -36

Subtract 13 from each side

7y+13-13 = -36-13

7y = -49

Divide each side by 7

7y/7 = -49/7

y = -7

Answer:

Divide both sides by 2²ˣ

Substitute (3/2)ˣ = t

Solve for t:

Positive root is considered as (3/2)ˣ can't be negative.