The following ratios form a proportion.

5\18 = 10/90


True False

The right answer is -8/3

please see the attached picture for full solution

hope it helps

Answer:

[tex]slope = \frac{8}{ - 3} [/tex]

Step-by-step explanation:

[tex](4 \: \: \: ,\: \: 18) = > (x1 \: \: ,\: \: y1) \\ (7 \: , \: \: \: \: \: 10) = > (x2 \: \: \: ,\: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{18 - 10}{4 - 7} \\ = \frac{8}{ - 3} [/tex]

hope this helps

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Answer:

positive

Step-by-step explanation:

negative and negative = positive

positive and positive = positive

positive and negative  = negative

negative and positive = negative

hope u got what u needed

Answer:

The correct answer is positive

Step-by-step explanation:

Negitive x Negitive = Positive

Positive x Positive = Positive

Negitive x Postive = Negitive

Positive x Negitive = Negitive

This should help you for next time you have a question like this.

I hope this helps.

Answer:

2.375m

Step-by-step explanation:

Length of box = 8 m

Width of box = 3 m

Height of box = 2.4 m

It initially contains water of volume 37 m³. 20 m³ of water is added to it.

So, New volume = 37+20 = 57 cubic m

Volume of water = Length \times Width \times Height = 8 \times 3 \times Height

So, 8 x 3 x height = 57

Height = 57/ 8x3

Height =2.375 m

hence the depth of the water in the through after 20 m³ of water is added to it is 2.375m

Step-by-step explanation:

just draw out according to a graph chart or pie chart

Answer: P ≤ $10

Step-by-step explanation:

You have $18

You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10

This means that we the range of prices P that you can afford is:

P ≤ $10

This means that the price of the jeans can be, at maximum, 10 dollars.

Answer:

[tex]-3\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

-22, 4, -27, 2

Step-by-step explanation:

-10 + (-12) = -10 - 12 = -22

-3 + 7 = 4

-11 - 16 = -27

-13 - (-15) = -13 + 15 = 2

Answer:

-22 4 -27 2

Step-by-step explanation:

-10 + (-12) = -22

-3 + 7 = 4

-11 - 16 = -27

-13 -(-15) = 2

Answer:

4(-2) + 8(4) / 7 - (-2)²

-8 + 32 / 7 - 4

24 / 3

= 8

Step-by-step explanation:

Answer:

125.66 in2

Step-by-step explanation:

The area of the pizza is given by the formula:

Area = pi * radius^2

The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches

Then, the total area is:

Area = pi * 8^2 = 64pi in2

They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.

If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:

360° -> 64pi in2

225° -> x in2

x = (225/360) * 64pi

x = 125.66 in2

Answer:

[tex]33\%[/tex]

Step-by-step explanation:

To work out the percentage of the circle shaded blue, we first must work out the area of the whole circle.

Area of the whole circle = [tex]\pi r^2[/tex]

[tex]r=4+3+3\\\pi * (4+3+3)^2=\pi*10^2=100\pi[/tex]

Now we need to work out the area of the blue 2d torus, by finding out the area of the blue circle, then subtracting the area of the innermost white circle.

Blue shaded area = [tex]\pi(r_{0}{^2}-r_{1}{^2})[/tex]

[tex]r_0=4+3\\r_1 = 4\\\pi ((4+3)^2-(4)^2)= \pi (7^2-4^2)=33 \pi[/tex]

Now we have the total areas of each, we can work out the fraction of blue to non blue by dividing the blue area by the total area, and then working out the percentage by multiplying by 100.

[tex]\frac{33\pi}{100\pi}*100=\frac{33\pi}{\pi}=33\%[/tex]

Answer:

a) n = 3

b) every 9 cm represents 175,000 km

Step-by-step explanation:

a) 20 min : 1 hour

Let's convert it into same units

⇒20 min : 60 min

÷ 20        ÷ 20

⇒ 1 : 3

So n = 3

b) 1 : 25,000

Which means every 1 cm on the map represents 25,000 km

And,

1 cm = 25,000 km

So,

9 cm = 25,000 × 9

9 cm = 175,000 km

So every 9 cm represents 175,000 km

Answer:

a) 3

b) 2.25 km

Step-by-step explanation:

a) 20 min : 1 hour = 1 : n

20 min : 60 min= 1 :3

n=3

b) 1: 25000 scale

1 mm : 25000 mm

9 cm = 90 mm

90 mm : 90*25000 mm

9 cm : 2250000 mm

9 cm : 2.25 km

Answer:

0.15

Step-by-step explanation:

15% = 0.15

__________________________________

Solution,

15%

=15/100

=0.15

So, 0.15 decimal is equivalent to 15%

Hope this helps

Good luck on your assignment

_______________________________

Answer:

302.5

Step-by-step explanation:

30 x 8

5/8

I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa

Answer:

X=70

Step-by-step explanation:

180-120=60

60 + 50=110

180-110=70

Answer:70°

Step-by-step explanation:

missing angle- 180°-120°= 60

a total triangle= 180°

so x = 180-(50+60)

=180-110

x=70°

Answer:

40 pages

Step-by-step explanation:

240/12 = 20 = pages read in 1 hour

20 x 2 = 40 = pages read in 2 hours

Answer:

12590/80*100 = $15,737.50 4. Is your Answer

Step-by-step explanation:

12590 is 80% so simply divide by 80 and multiply by 100 to get the answer.

Answer:

150=2x5x5x3, or 150=2x5^2x3

Step-by-step explanation:

150=50x3

50=5x10

10=2x5

150=2x5x5x3

Answer:

Step-by-step explanation:

Using set notation to answer the question. let:

n(U) be the total people in a sport centre =130

n(G) be number of people that use the gym.  = 76

n(P) be number of people that use the swimming pool. = 60

n(T) be number of people that use the track = 32

n(G∩P) be number of people that uses the gym and the pool = 23

n(P∩T) be number of people that uses the  pool and the track = 8

n(G∩T) be number of people that uses the gym and the track = 320

n(G∩P∩T) be number of people that uses all three facilities = 6

Using the relationship below;

n(U)= n(GUPUT)+n(GUPUT)'

where n(GUPUT)' is the number of people that doesn't use any facility.

Before we can get that, we need to know n(GUPUT) using the formula;

n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)

n(GUPUT) = 76+60+32-23-8-20+6

n(GUPUT) = 123

n(GUPUT)' = n(U)- n(GUPUT)

n(GUPUT)' = 130 - 123

n(GUPUT)' = 7

This means that 7 person doesn't use any facility.

Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130

Answer: A. Triangle

Step-by-step explanation: Its A because its in order of number of sides starting from the left side. It goes 6 sides, 5 sides, 4 sides, then next should be 3 sides.

Answer:

A

I think A is the correct answer and this can only be true if we are following the sequence because the first shape has 6 sides followed by 5 and 4 so probably 3 should be the next.

Answer:

The surface area of the lower rectangle is 20cm x 4cm= 80 square cm

the surface area of the two triangles is 12 square centimetres

the surface area of one of the top rectangular faces is 20×5= 100 square centimetres

the surface area of the other is 20×3= 60 square centimetres

80+12+60+100=252 square centimetres is the surface area of the polyhydron

Answer:

8 i think

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2x^2-4x+1=0

This is written in the form

ax^2 +bx+c =0

a=2   b = -4  c =1

The discriminant is

b^2 -4ac

(-4)^2 -4(2)(1)

16 - 8

8

The discriminant is 8

Answer:

1) (2,2)

2) (2,-1)

3) (-4,1)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

[tex]\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

The answer is 72.

Step-by-step explanation:

You have to put in the values of a and b into the expressions :

[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]

[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]

[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]

[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]

[tex] = 108 - 36[/tex]

[tex] = 72[/tex]

Answer: the correct answer is -8

Step-by-step explanation:

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

Substitute the given value of m into the expression:

-4|5 + (-3)|.

Then evaluate using the order of operations:

-4|5 + (-3)|

= -4|2|

= -4(2)

= -8

The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.

A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

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Answer:

C. Both f(x) and its inverse function intersect at point (2, 2).

Step-by-step explanation:

First of all, let's begin defining f(x) = y.

Since the linear function f(x) intersects at

• 6 on the y-axis; and

• 3 on the x-axis;

we can deduce the following equation:

6x + 3y = 6(3)

6x + 3y = 18

3y = -6x + 18

y = -6x/3 + 18/3

y = -2x + 6

f(x) = -2x + 6

Then, we'd want to find the inverse of f(x), which is f`¹(x).

f(x) = -2x + 6

y = -2x + 6

Interchange the variable y to x and vice versa.

x = -2y + 6

2y = -x + 6

y = (-1/2)x + 3

f`¹(x) = (-1/2)x + 3

Since both f(x) and its inverse function are equal to y, set them both as equal.

f(x) = f`¹(x)

-2x + 6 = (-1/2)x + 3

-2x + (1/2)x = 3 - 6

(-3/2)x = -3

x = 2

Substitute x = 2 into y = -2x + 6.

y = -2(2) + 6

y = -4 + 6

y = 2

Now that we know x = 2 and y = 2, then the intersection point of (x, y) must be (2, 2).

I hope this helps! Sorry if my English didn't really help with giving a clearer explanation.

Answer:

Option (1).

Step-by-step explanation:

Given  functions are f(x) = [tex]\frac{1}{x}[/tex] and g(x) = x - 2

(fog)(x) = f[g(x)]

By substituting g(x) in place of x in the function f(x),

f[g(x)] = [tex]\frac{1}{(x-2)}[/tex]

Graph of the function f[g(x)] will have,

Vertical asymptotes : x = 2

Horizontal asymptotes : y = 0

And no oblique asymptotes.

Out of four options graph number (1) matches the given characteristics of the function.

Therefore, graph (1) will be the answer.

Answer:

The answer to 1 is: A

The answer to 2 is: C

The answer to 3 is: A

Step-by-step explanation:

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. The correct option for the first, second, and third questions are A, C, and A respectively.

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, while Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.

1.) If the conditional statement “If my dog gets out, he will run away,” is true, then the statement "If my dog did not run away, he did not get out." must also be true.

Hence, the correct option is A.

2.) If a conditional statement is written in the form “If p then q”, then the converse of the conditional statement is written as "If q then p".

Hence, the correct option is C.

3.) The statement “If I do not ask permission, I will get in trouble” is the contrapositive of the conditional statement "If I do not get in trouble, I asked permission."

Hence, the correct option is A.

Learn more about Conditional Statement:

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Answer:

17

Step-by-step explanation:

Use ratio method

98:2

850:x

so, x = (850 x 2) divided by 98 = 17.3469388

Round it to nearest whole number = 17