Evaluate the expression 12 - 3y +420-4) for y = 3.
2

Answer:

Choice 2 and 4 should be the answer

Step-by-step explanation:

For choice 2: both started away from home and finished at home.

For choice 4, Peter is farther away from home than Camilla, but they reached home at the same time which proves that Peter is faster.

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 7 ← is in slope- intercept form

with slope m = 5

Answer:

The slope is 5.

Step-by-step explanation:

y=mx+b is the equation used to plot a line, where m is the slope and b is the y intercept.

points are on the graph of the line:-

[tex]\tt{3x+2y=28 }[/tex] ⠀

we get,

[tex]\rightsquigarrow[/tex] [tex]\tt{ 2y=28-3x }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{y=\dfrac{28-3x}{2} }[/tex] ⠀

In,(0,14)

If we put the value ,x=0

y=[tex]\tt{\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]

So,we get one point,(0,14)✔

In,(2,11)

If we put ,x=2

y=[tex]\tt{\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]

so,we get another point (2,11)✔

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

we have to find the line which are in the line!!

points are on the graph of the line:-

we get,

2y=28−3x ⠀

[tex]{y=\dfrac{28-3x}{2} }[/tex]

In,(0,14)

If we put the value ,x=0

[tex]y={\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]

so one point is (0,14)

In,(2,11)

If we put ,x=2

[tex]y={\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]

so,we get another point (2,11)

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

Answer: 78

Step-by-step explanation:

Answer: Sofia has raised 78 dollars so far

Step-by-step explanation: 78 x 4 = 312

312 - 78 = 234     1

234 - 78 = 156     2

156 - 78 = 78       3

Answer:

They have 425 candy bars ready to sell.

Step-by-step explanation:

Let,

x be the number of candy bars ready to sell

y be the number of chips ready to sell

According to given statement;

x+y=575     Eqn 1

x+0.5y= 500     Eqn 2

Subtracting Eqn 2 from Eqn 1

(x+y)-(x+0.5y)=575-500

x+y-x-0.5y=75

0.5y = 75

Dividing both sides by 0.5

[tex]\frac{0.5y}{0.5}=\frac{75}{0.5}\\y=150[/tex]

Putting y=150 in Eqn 1

x+150 = 575

x = 575-150

x = 425

Hence,

They have 425 candy bars ready to sell.

Answer: A

Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40

The step that is not used when constructing an inscribed equilateral triangle using technology is " create another circle with the same radius as the original".

"The definition of circumscribed means that an object is drawn around another, making it bounded or limited within a certain boundary. And so, a circumscribed circle of a triangle is a circle that limits a triangle's space. In other words, the circle contains a triangle inside it. The vertices of the triangle are located along the boundary of the circle.

Geometric scenarios like this wherein a shape are drawn inside another or containing another; the name is given depending on which object is taken as a reference. Circumscribed circle of a triangle, the circle is outside the triangle in a simpler sense. In other words, the triangle is inside the circle."

Since,

Creating another circle with the same radius as the original is the not a step in construction of inscribed equilateral triangle.

Hence D is the correct option.

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Answer:

B is the answer.

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-2(5) + 2

-10 + 2

-8

Answer:

✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]

☪ [tex] \underline{ \sf{Solution}} : [/tex]

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , [tex] \text{5x +2x = 21}[/tex]

Solve for x :

⇝ [tex] \sf{7x = 21}[/tex]

⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

⇝ [tex] \sf{x = 3}[/tex]

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

The angle is 50 degrees.

Answer:

It's 16

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Answer:

no because you can put 2 into 5/2 2 times so it would be 2 and 1/2 and 9 is bigger then that

Answer:

-44+-11=11

Step-by-step explanation:

la respuesta es 54 y sí está bien gracias ahora adiós que tengas un buen día 33. Entonces -44 + -11 = 11 pero esa es la billetera que tengo.

Answer:

47

Step-by-step explanation

83 - 38 doesn't equal 27 and it said 27 more so it couldn't be 74 because if it was, it would be 27 less. So the only number left is 47!

Answer: The answer is 0.12

Step-by-step explanation:

Answer:

the answer to you question is A

Answer:

16 pi units or about 50.265 units

Step-by-step explanation:

formula for area of circle is πr^2

Using the image, the radius (half the diameter) is 4 units

put this in equation

pi times 4^2

pi times 16

16pi

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

A = Not sure

B= 12.0

Hope I helped

Answer:

1) a2 = h2 + x2

✔ Pythagorean theorem

2) h2 = a2 - x2

✔ Rearrange the previous statement

3) c2 = h2 + (b-x)2

✔ Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

✔ Expand (b – x)2

Step-by-step explanation:

The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2

1) a2 = h2 + x2

Pythagorean theorem

2) h2 = a2 - x2

Rearrange the previous statement

3) c2 = h2 + (b-x)2

Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

Expand (b – x)2

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Answer:

[tex]\displaystyle m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 2)

Point (4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step-by-step explanation:

To find the slope of any linear line you would have to use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

(-6 , 1) = ([tex]x_{2}[/tex], [tex]y_{2}[/tex])

(0 , 3) = ([tex]x_{1}[/tex], [tex]y_{1}[/tex])

Now you would insert the values into the formula....

[tex]\frac{1-3}{(-6)-0}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex]

1/3 is your answer.

If you want to check your answer, you would use the formula mx + b= y

m= slope

x = the x-coordinate in either of the coordinates

b= the y-intercept

y = the y-coordinate of the coordinate you chose

mx +b = [tex]\frac{1}{3}[/tex](-6) +3 = -2 +3 = 1

1/3 is the correct answer

Hope this helps!!!

Answer:

m=3/5 rise:3 run:5

Answer:

the answer is b)3

Step-by-step explanation:

2=36

?(x)=54

2×54=36x

108/36=x

x=3

Answer:

Corresponding Angles

Step-by-step explanation:

I got it right on the test ;)

GOOD LUCK!

The angle ∠UQR and angle ∠WRT are the corresponding angles. Then the correct option is C.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

The segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively.

Then the angle ∠UQR and angle ∠WRT are the corresponding angles.

Then the angle ∠UQR and angle ∠WRT are congruent to each other.

∠UQR = ∠WRT (corresponding angle)

Then the correct option is C.

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Answer:

A) 4900

B) How far above she is before she starts hiking/the distance she is from the canyon floor.

Step-by-step explanation:

Since it's linear, it will follow the formula y=mx+c.

We can sub in the values to get:

3500=m(1)+c → 3500-m=c

2100=m(2)+c → 2100 = 2m+c

Sub '3500-m' in for c:

2100=2m+3500-m

m= -1400

c=3500-m=3500-(-1400)=3500+1400=4900

∴equation is: y= -1400x+4900

To find the initial value, ie when the number of hours = 0, we sub in zero for x:

y = -1400(0) + 4900

PART A ANS: 4900

PART B ANS: Since the number of hours passed is zero, the value represents how far above she is before she starts hiking/the distance she is from the canyon floor.

Answer:

(-inf, 5)

Step-by-step explanation:

just the previous answer, in anothe r form

Answer:

x= 12/-4

x=-3

Step-by-step explanation:

make it braintliest please