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3 years ago

What is the value of x in the equation? 20x- 40 = 20

Mathematics

2 answers:

Vitek1552 [10]3 years ago

5 0

Add 40 to both sides
20x = 60
Divide by 20
Answer: x = 3

Valentin [98]3 years ago

3 0

Answer:

x=3

Step-by-step explanation:

20x-40=20

20x=20+40

20x=60

x=3

Hope this helps plz hit the crown ;D

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A rectangle has a length that is 2 meters more than the width. The area of the rectangle is 288 square meters. Find the dimensio

Rufina [12.5K]

Answer:

L = 18 and w = 16

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.

$A = l*w\\288 = w(2+w)\\288 = w^2 + 2w$

To solve for w, move 288 to the other side by subtraction. Then factor and solve.

$w^2 + 2w - 288 = 0 \\(w +18)(w-16) = 0\\$

Set each factor equal to 0 and solve.

w - 16 = 0 so w = 16

w + 18 = 0 so w = -18

Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.

This means the length is 16 + 2 = 18.

7 0

3 years ago

Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation

EleoNora [17]

Answer:

geraldo has 9 marbles and yan has 12

Step-by-step explanation:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

3 0

3 years ago

2.What is the solution of the solution of the equation 5^3x=15? Round to the nearest ten thousandth.

sveta [45]

Hmm
remember
$a^c=b$ can translate to $log_a(b)=c$
so

$5^{3x}=15$ can translate to $log_5(15)=3x$
divide both sides by 3
$(1/3)log_5(15)=x$
$log_5(15^{1/3})=x$
use calculator, if you can't use change of base formula to do it
$log_a(b)= \frac{log_c(b)}{log_c(a)}$ so
$log_5(10^{1/3})= \frac{log_{10}(15^{1/3})}{log_{10}(5)}=x$
evaluate using base 10 on your calculator
0.560869=x

8 0

3 years ago

Michael makes lemonade using a ratio of 10 cups of water to 1 cup of lemon juice. Which equation could be used to find c, the nu

Helga [31]

Answer:sdsjwjamsmsmqmqmamsmssmsmsm

Step-by-step explanation:jfwwfjwcjwddqqpqpweprproroelss,d,f,ff,f,

8 0

3 years ago

A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at

zhenek [66]

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

= $11.76

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

= $33.81

Number of meals prepared with material purchased = 28

Per meal cost = $\frac{33.81}{28}$ = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

= 20 - 1.2075

= 18.7925

≈ $18.8

Therefore, he will make $18.8 for each meal.

3 0

3 years ago