Natasha treats herself to some choco-vanilla ice cream. She prepares the treat with
1
8 scoops of chocolate ice cream and 2- times as much vanilla ice cream as chocolate.
2
How much vanilla ice cream does she use?

The points that fulfill all inequalities are shaded on the graph given at the end of the answer.

The points that respect the inequality must respect these three conditions:

These three lines are plotted on the graph given at the end of the answer, and the shaded region in blue is the solution to the inequality, that is, it contains the set of points that respects all three conditions.

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The equivalent expression of 14x2 +18x + 5 is 18x + 14x2 + 5, the correct option is D.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

The function  14x2 +18x + 5

Now,

18x + 14x^2 + 5

This expression is equivalent to 14x^2 + 18x + 5, because it has the same terms but in a different order. You can use the commutative property of addition to rearrange the terms in any order without changing the value of the expression. For example:

14x^2 + 18x + 5 = (14x^2 + 5) + (18x)

14x^2 + 18x + 5 = (18x) + (14x^2 + 5)

14x^2 + 18x + 5 = (18x) + (5) + (14x^2)

14x^2 + 18x + 5 = (5) + (18x) + (14x^2)

All of these expressions are equivalent to each other and to the original expression.

Therefore, the equation will be 18x + 14x^2 + 5.

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Answer:

the bottom left graph is a function

Step-by-step explanation:

for questions like this pertaining a graph, you can use the vertical line test. essentially for a function, an x value cannot have multiple y values. so, the function cannot have any two or more points that lie on the same vertical line.

the top left graph is literally a vertical line, so that doesn't work

the top right is a circle. draw a vertical line and you see it always intersects two points

the bottom right graph draw a vertical line. two points again, right?

only the bottom left works with the vertical line test.

The folded fabrics that can fit inside a shipping box with the dimensions of 1 foot by 1 foot by 2 feet will be 18.

It should be noted that 12 inches = 1 feet

Therefore, 432 cubic inches will be converted to feet and this will be:

= 432/12

= 36

Therefore the number of folded fabric will be:

= 36 / (1 × 1 × 2)

= 36/2

= 18

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The value of GH is 93.

Given,

Point G is the midpoint of segment FH.

GH= 16x-19 and FG=12x+9.

We need to find GH.

If there is a midpoint between two points the midpoint divided the line between two points into two equal lengths.

Example:

A ________B__________C

AB = BC

We have,

F_______G_______H

G is the midpoint.

GH= 16x-19

FG=12x+9.

FG = GH

16x-19 = 12x+9

16x - 12x = 9 + 19

4x = 28

x = 7

Now,

GH = 16x - 19

      = 16 x 7 - 19

      = 112 - 19

     = 93

Thus the value of GH is 93.

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The additive inverse of the given mathematical operation 3+(-5) is 2.

So, 3+(-5):

Then, add 2 as follows:

Therefore, the additive inverse of the given mathematical operation is 2.

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Answer:

83.5

Step-by-step explanation:

Median means middle. So in order to get that you need to write the numbers in order and then get the middle number. If the amount of numbers are even then take the 2 middle ones and add the together then divide by two.

89, 52, 78, 92, 98, 64 --> 52, 64, 78, 89, 92, 98

Since you have 2 middle numbers, you must take the middle 2 (78 and 89) and add them.

78 + 89 = 167

Now divide 167 by 2

167 / 2 = 83.5

Answer = 83.5

Answer:

The 3rd one

Step-by-step explanation:

My mom is a teacher lol

+(-11) is -11. You're "adding" -11 when in reality you're taking away 11 unless:

the equation looks like: -6+(-11)

the answer would be -17 because you're adding a negative to a negative. Taking away from a negative number is simply moving further down the negative number line, which makes the negative numbers "increase" in value

But if an equation looks like: 6+(-11)

the answer would be -5 since you are taking away 11 from a positive number.

Hope this makes sense and answers your question.

Answer: -38

Step-by-step explanation:

lim x→−8 (4x − 6)=

4(-8) − 6=

-32-6=

-(32+6)=-38

Answer:

40

Step-by-step explanation:

how many data? : 9

(9+1) x 1/4 = 2.5 (no 2.5: between 35 and 45)

(35+45)/2 = 40

The line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2

From the question, we are to determine the equation of the line that is perpendicular to the line passing through the given points

First, we will determine the equation of the line passing through the given points

The given points are (-4, 2) and (4, -1)

Using the formula,

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

x₁ = -4

y₁ = 2

x₂ = 4

y₂ = -1

Thus,

(y - 2)/(x - -4) = (-1 - 2)/(4 - -4)

(y - 2)/(x + 4) = (-3)/(4 + 4)

(y - 2)/(x + 4) = (-3)/(8)

8(y -2) = -3(x + 4)

8y - 16 = -3x -12

8y = -3x -12 + 16

8y = -3x + 4

y = -(3/8)x + 1/2

Now,

NOTE: A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line

In the above equation,

The slope of the line is -3/8

∴ The slope of the line that is perpendicular to the line will be 8/3

Thus,

The equation of the line will be y = (8/3)x + 1/2

Hence, the line that is perpendicular to the line passing through the points (-4, 2) and (4, -1) is y = (8/3)x + 1/2

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Answer:
Velocities

t = 1 :      11 m/s

t = 2 :      27m/s

t = 3:       56.33  m/s

t = a:       6a + 1 + 4/a  m/s

Step-by-step explanation:

s(t) = 6t³ + 1t + 4 where s = displacement in meters and t is time in seconds

s(t)  = v(t). t where v is the velocity in m/s and t is time in seconds
So v = s/t

At time t = 1
s(1) = 6 x 1³ + 1 x 1 + 4  = 6 + 1 + 4 = 11 meters
v(1) = 11/1 = 11 m/s

At time t = 2
s(2) = 6 x 2³ + 1 x 2 + 4 = 6 x 8 + 2 + 4 = 48+ 2 + 4 = 54 m
v(2) = 54 /2 = 27m/s

At time t = 3
s(3) = 6 x 3³ + 1 x 3 + 5 = 6 x 27 + 3 + 4 = 169 m
v(3) = 169/3 = 56.33  m/s

At time t = a
s(a) = 6a³ + 1a + 4 = 6a³ + a + 4
v(a) = s(a)/a = (6a³ + a + 4)/a = 6a + 1 + 4/a m/s

Answer:

You need 7 strawberries to make 1 cup of smoothy

so that means 21 strawberries for 3

and 10 smoothies need 70 strawberries

After reduction of original size of a document by [tex]30%[/tex]%, the reduction scale is 70% of original size i.e., [tex]70:100=7:10[/tex]

As per the question statement, A photocopier reduces the original size of a document by 30%. We are supposed to find out what is the reduction scale.

Let say the document original size to be [tex]100%[/tex]% and if 30% is reduced by the photocopier, the remaining 70% will be the original size.

Hence reduction scale = [tex]70:100 = 7:10[/tex]

Therefore the reduction scale is 70% of the original size.

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Question 1

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]m\angle C+130^{\circ}=180^{\circ} \\ \\ m\angle C=50^{\circ}

[/tex]

Question 2

Drawing PR, we form congruent triangles PQR and PSR. Thus, using the sum of angles in a triangle,

[tex]55^{\circ}+24^{\circ}+m\angle Q=180^{\circ} \\ \\ m\angle Q=101^{\circ}[/tex]

Question 3

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]13x+6+70=180 \\ \\ 13x+76=180 \\ \\ 13x=104 \\ \\ x=8[/tex]

Question 4

Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,

[tex]11x+15+19x+15=180 \\ \\ 30x+30=180 \\ \\ 30x=150 \\ \\ x=5 \\ \\ m\angle B=11(5)+15=70^{\circ}[/tex]

To an algebraic expression, the product of 2.5 and t is 2.5*t=2.5t.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Terms comprise expressions.

As said, "The word product" refers to the result of a multiplication.

To find out which two integers are multiplied together, look for the term "AND." The result of adding 2 and 3 is 6

The two numbers being multiplied in this example are 2.5 and an unidentified number, only called t.

The formula is 2.5*t

= 2.5t.

We are at our limit at this point. Since the solution has not been provided, we are unable to write an equation.

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The car travels 62.5 meters in 5 seconds

The car is driving at 45 kilometres per hour

The first step is to convert kilometres to meters

1 km= 1000 meters

= 45×1000

= 45,000

The next step is to convert hours to seconds

1 hour= 3600 seconds

= 45000/3600

= 12.5

The distance travelled in 5 seconds can be calculated as follows

= 12.5 × 5

= 62.5

Hence the distance travelled in 5 seconds is 62.5 meters

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After calculating equation we have come to find that the value of y is equal to 0.525 is true

An equation is formed by joining two expressions with the equal sign "=". The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.

Typically, the right-hand side of an equation is assumed to be zero. This does not reduce generality because we can balance it by subtracting the expression on the right-hand side from the expressions on both sides.

We have given 12y - 1 / 2 = 8y + 8 / 5

lets solve it

⇒ 12y - 1 / 2 = 8y + 8 / 5

⇒ 12y -8y = 8 / 5 + 1 / 2

⇒ 4y = 21/10

⇒ y = 21/40

⇒ y  = 0.525

Thus, the value of y is equal to 0.525 is true

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Full question

Which value of y makes this equation true?

12y - 1 / 2 = 8y + 8 / 5

The given expression (4⋅5)(x⋅y) has a multiplication property.

Multiplication Properties 

So, (4⋅5)(x⋅y) is a multiplication property as:

Therefore, the given expression has a multiplication property.

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Answer:

the answer is v = -32

Step-by-step explanation:

where

v/4 - 2 = -10

v/4 = -10 + 2

v/4 = -8

v = -8 × 4

v = -32

hope this helps

Answer: The answer for this question is v = -32

Step-by-step explanation: just do math.

Answer:

Hi there The answer should be 11.45 miles

Step-by-step explanation:

I added 3.7 + 4.5 + 3.2 = 11.45

With a calculator.

hope this helps!

if p/q=r/s then (p+q)/(r+s) is​ Ratio and proportion

(p+q)/(r+s)=q

Given,

p/q=r/s

ps=rq

p=rq/s

Putting these value of (p+q)/(r+s) is q

The ratio is used to compare two amounts of the same type. For two numbers, a and b, the ratio formula is written as a: b or a/b. The ratio and proportion concepts are based on fractions. Ratio and proportion are the fundamental building blocks for many other notions in mathematics. Ratio and proportion are useful in addressing many everyday difficulties, such as comparing heights, weights, distance, or time, or when combining ingredients in cookery, and so on.

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Answer:

138

Step-by-step explanation:

51+39+48 because its total

Answer:

£168

Step-by-step explanation:

Let the total prize be 8x, then the two prizes will be 5x and 3x.

Then, difference between the prizes = 2x

=> 5x - 3x = £42

=> 2x = £42

=> x = £42/2

=> x = £21

As mentioned above, the total prize is 8x.

So, total prize = 8 × x = 8 × £21 = £168

Answer:

EF=22

LM=19

ML=

Step-by-step explanation:

Answer:

The GCF (Greatest Common Factor) is the biggest factor common to both of these numbers, so we must determine the factors for each:

15--->1,15

         3,5

20--->1,20

         2,10

         4,5

As we can see, 1 and 5 are the common factors and 5 is the biggest (greatest). Therefore, we can "pull" out a 5 from both numbers and get a resulting equation of:

15 + 20--->5(3 + 4)

Hope this helps!

Step-by-step explanation:

Answer:

The answer is 7.

-1-(-8)

Subtracting a negative number from a negative number (-) a minus sign followed by a negative sign, turns the two signs into a plus sign.

^ I forgot what I was trying to prove.