If angle PDQ equals 23 degrees and angle SDQ equals 11 degrees what is angle PDS?

Felicity's dog eats no more than two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half o

horrorfan [7]

Answer:

$\frac{1}{4}+\frac{m}{2} \leq x\leq 2$

$x$ denotes amount of food that Felicity's dog eats

Step-by-step explanation:

Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using $m$

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = $m$

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats $\geq \frac{1}{4}+\frac{m}{2}$

Therefore,

$\frac{1}{4}+\frac{m}{2}\leq$ Amount of food that Felicity's dog eats ≤ 2

Let $x$ denotes amount of food that Felicity's dog eats.

$\frac{1}{4}+\frac{m}{2}$ ≤ $\frac{1}{4}+\frac{m}{2} \leq x\leq 2$

3 0

3 years ago

18,000 amounts to 21,600 in 4 years at simple interest. Find the sum of

AnnyKZ [126]

Answer:

$\$20,400$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

$t=4\ years\\ P=\$18,000\\ A=\$21,600\\r=?$

substitute in the formula above and solve for r

$\$21,600=\$18,000(1+4r)$

$1.2=(1+4r)$

$4r=1.2-1$

$r=0.2/4=0.05$

The rate of interest is $5\%$

step 2

Find the sum of money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

$t=5\ years\\ P=?\\ A=\$25,500\\r=0.05$

substitute in the formula above and solve for P

$\$25,500=P(1+0.05*5)$

$P=\$25,500/(1.25)=\$20,400$

3 0

3 years ago

3.

nikitadnepr [17]

i think the answer is linear I am not sure though

4 0

3 years ago

Solve 4 + 4 ( x - 2 ) = 2 ( x + 1 ) - x<br> The question requires you to show your work

kati45 [8]

Answer:

x = 2

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(4+(4•(x-2)))-(2•(x+1)-x) = 0

Step 2 :

Equation at the end of step 2 :

(4 + 4 • (x - 2)) - (x + 2) = 0

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Equation at the end of step 4 :

3 • (x - 2) = 0

Step 5 :

Equations which are never true :

5.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2 Solve : x-2 = 0

Add 2 to both sides of the equation :

x = 2

One solution was found :

x = 2

Processing ends successfully

plz mark me as brainliest :)

7 0

3 years ago

An equation of the line that passes through the given point and is parallel to the graph of the given equation

notsponge [240]

To construct the equations for these lines, we are going to use the point-slope formula, which is:

$(y - y_1) = m(x - x_1)$

$m$ is the slope of the line
$(x_1, y_1)$ is a point on the line

1)

In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)

Thus, we can "plug in" what we know into our formula to find the equation of our line:

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