Evaluate 8a+3b-10+c2 when a=2, b=5 and c=4​

Answer:

77 5/8

Step-by-step explanation:

a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4

= 24/4

b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 4.

Conversion a decimal number to a fraction: -11.5 = -115/10

= -23/2

a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-11.5/1

= -115/10

c) Simplify and reduce the fraction

-115/10

= -23 * 5/2*5

= -23 * 5/2*5

= -23/2

Multiple: 27/4

* (-11.5) = 27 · (-23)/4 times5

= -621/8

Answer:

I think B is right answer

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Answer:

Part A: a) Corresponding angles

Part B: b) 12x - 10 = 10x + 8

Part C: x = 9

m<1 = 98

m<2 = 82

Explanation:

B)

Since they're corresponding angles, they're equal to each other:

12x - 10 = 10x + 8

C)

12x - 10 = 10x + 8

2x = 18

x = 9

m<1:

12(9) - 10 = 98

m<2:

98 + y = 180

y = 82

9514 1404 393

Answer:

  A. a

  B. b

  C. 9, 98, 82

Step-by-step explanation:

See attached.

"Corresponding" angles are those in the same direction from the point of intersection. Here, angles 1 and 3 are both northwest of the intersection point, so are corresponding.

From ...

  12x -10 = 10x +8

  2x = 18 . . . . . . . . . . . add 10-10x to both sides of the equation

  x = 9 . . . . . . . divide by 2

Angles 1 and 3 are the same measure, so we choose the easier expression to evaluate mentally. Multiplying by 10 is easier than by 12, so we use 10·9+8=98 as the measure of angles 1 and 3. Angle 2 is the supplement of this.

Answer:

0(2+14x)+6(6+8x)

Step-by-step explanation:

9514 1404 393

Answer:

  x ≈ 136.7 ft

Step-by-step explanation:

As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...

  Cos = Adjacent/Hypotenuse

For this triangle, that means ...

  cos(43°) = (100 ft)/x

  x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)

  x ≈ 136.73 ft

The length x is about 136.7 feet.

Answer:

3×81^x=9^{x+4}

since power of no is multiplied to its remaining power

3×3^4x=3^2{x+4}

if there is like terms then power is added

3^{1+4x}=3^{2x+8}

if there is like terms then power can be compared

so{1+4x}={2x+8}

1+4x=2x+8

4x-2x=8-1

2x=7

x=7/2 is your answer

Answer:

Mutually Exclusive

Dependent

Step-by-step explanation:

Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).

Hence, this is MUTUALLY EXCLUSIVE.

Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).

Hence, this is DEPENDENT.

Answer:

yes the graph represents a function

Step-by-step explanation:

plz mark me brainliest

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

Answer:

45°

Step-by-step explanation:

the sum of angles in a triangle is equal 180°

we have been given that one angle equals yo 90° and the other equals to 45°

let "?" be the unknown angle

====> 180° = 90° + 45° +?

? = 180° - (90° + 45°)

? = 180° - 135°

? = 45°

Answer:

the answer is false because congruent mean 3 equal sides

Answer:

Step-by-step explanation:

(+5) + (+2) = +7

If both numbers have same sign, add and the result will have the common sign

v) (-5) + (-2) = (-7)

Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'

Viii) (+6) + (-3) = +3

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign

xi) (-4) + (+8) = +4

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.

Measure of an angle  ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.

The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.

According to the given question

The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.

The exterior angle at the center is (360 - 138)degrees = 222 degrees

by angle subtended by an Arc of a circle theorem

[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]

Hence, [tex]m[/tex]∠ABC = 111 degrees.

Learn more about angle subtended at the center of circle theorem here:

https://brainly.com/question/2506683

#SPJ2

Answer:

81 feet

Step-by-step explanation:

3 feet = 1 yard

Answer:

81 feet wide

Step-by-step explanation:

1) The 10 yards wide is not necessary since we only need length.

2) There are 3 feet in a yard.

3) 27 yards multiplied by 3 feet equals = 81 feet.

4) 27 * 3 = 81 feet

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

Step-by-step explanation:

Elsa 40÷6= 6.666, or 6 2/3 bushels per hour

Kim 40÷10= 4 bushels per hour.

together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes

Answer:

[tex]y=8x-781[/tex]

Here, [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

Step-by-step explanation:

Let [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

At [tex]106[/tex]°F, a certain insect chirps at a rate of [tex]67[/tex] times per minute.

Take [tex](x_1,y_1)=(106,67)[/tex]

At [tex]108[/tex]°F, they chirp [tex]83[/tex] times per minute.

Take [tex](x_2,y_2)=(108,83)[/tex]

Slope intercept form:

[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]

[tex]y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781[/tex]

Answer:

12

Step-by-step explanation:

2(b + c)

2(5 + 1)

2(6)

12

The answer is on the picture

Answer:

i think 220

Step-by-step explanation:

because if he swim 250 then 30 less it would be 220

Given:

The limit problem is:

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

To find:

The limit of the function by using direct substitution.

Solution:

We have,

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

Applying limit, we get

[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]

Therefore, the correct option is D.

Answer:

the answer is x=10

Step-by-step explanation:

10*10=100

100-10=90

the red square means 90°

Answer:

c and d

Step-by-step explanation:

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

Answer:

Commission is $45.00

Weekly salary was $150.00 + $45.00

She earned $195.00 for her paycheck

Step-by-step explanation:

Answer:

[tex] \frac{14}{5} [/tex]

Step-by-step explanation:

1) Use this rule : a ÷ b/c = a × c/b.

[tex] \frac{7}{2} \times \frac{4}{5} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{7 \times 4}{2 \times 5} [/tex]

3) Simplify 7 × 4 to 28.

[tex] \frac{28}{2 \times 5} [/tex]

4) Simplify 2 × 5 to 10.

[tex] \frac{28}{10} [/tex]

5) Simplify.

[tex] \frac{14}{5} [/tex]

Therefor, the answer is 14/5. And is decimal form it would be, 2.8.

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

[tex]y = \frac{-1}{3}x[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

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

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)