All categories

2 years ago

A table of equivalent ratios is shown. One value is missing from the table.

Mathematics

2 answers:

Natali [406]2 years ago

4 0

Answer:

C) 11

Step-by-step explanation:

65/5=13

91/7=13

182/14=13, therefore

143/13=11

Mazyrski [523]2 years ago

3 0

C.11. if you divide the y by the x you will see the pattern of 13. So if you divide 143 by 13 you get 11.

You might be interested in

Sophie practices the piano 105 minutes in 1 week. If t represents the total time she practices for any number of days, d, write

Alex Ar [27]

Answer:

Step-by-step explanation:

You must first know that 1 week = 7days

If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;

105 minutes = 7days

to calculate the total time t that she practices for any number of days, d, we will say;

t minutes = d days.

Solving both expression;

105 minutes = 7days

t minutes = d days.

Cross multiply;

7 * t = 105 * d

7t = 105d

Divide both sides by 7;

7t/7 = 105d/7

t = 15d

Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d

3 0

3 years ago

Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari

lesantik [10]

The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.

Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:

C = 2A

C = N + 3

C = S/2

S - N = C + A

S = 2C, N = C - 3 and A = C/2, therefore we have

2C - (C - 3) = C + C/2

C + 3 = C + C/2

C/2 = 3 and C = 6

A = C/2

A= 6/2

A = 3

N = C - 3

N = 6 - 3

N = 3

S = 2C

S = 2 x 6

S = 12.

C = 6, A = 3, N = 3 and S = 12

8 0

2 years ago

What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

What is the measurement of the missing angle for the following?

Sav [38]

Answer:

the answer is 38

Step-by-step explanation:

103 + 39 + 38= 180, the degree of a triangle

5 0

2 years ago

ΔEʹFʹGʹ is a dilation of ΔEFG with the origin as the center of dilation.

vekshin1

the answer a is 6 and b is 2

7 0

3 years ago