A new dining room is being built in Carol’s home. In a scale drawing of the room, 1 inch represents LaTeX: 2\frac{1}{2}212feet. A sketch of the drawing is shown
Answer/Step-by-step explanation:
Area of the dinning room table:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room table on the sketch = 2 in
Actual length of dinning room table = 2 × 2½ = 5 ft
Width of the dinning room table on the sketch = 1 in
Actual width of dinning room table = 1 × 2½ = 2.5 ft
Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²
Area of the dinning room:
Given that scale of the sketch is 1 in = 2½ ft
Length of the dinning room on the sketch = 7⅕ in
Actual length of dinning room = 7⅕ × 2½ = 18 ft
Width of the dinning room on the sketch = 4⅘ in
Actual width of dinning room = 4⅘ × 2½ = 12 ft
Area of dinning room = length × width = 18 × 12 = 216 ft²
Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table
= 216 - 12.5 = 203.5 ft²
Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?
Answer:
C
Step-by-step explanation:
5x-25=-10
Please HELP
= 5x - 25 = -10
= 5x = -10 + 25 ( transposing-25 from LHS to RHS changes -25 to +25 )
= 5x = 15
= x = 15 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 l
= x = 3
Let us check whether or not we have found out the correct value by keeping 3 in the place of x :
= 5 × 3 - 25 = -10
= 15 - 25 = -10
= -10 = -10
LHS = RHS
We have found out the correct value of x .
Therefore x = 3 .
Find:1/15÷4/120
Select one:
A. 4
B. 1
C. 3
D. 2
Answer:
D) 2
Step-by-step explanation:
1/15×120/4
1/15×30
1×2
2
Solve the system by substitution.
y=-x^2+2x+10
y=x+4
Answer:
x=3, y=7
x=-2, y=2
Step-by-step explanation:
System of Equations
We have the following equations:
[tex]y=-x^2+2x+10[/tex]
[tex]y=x+4[/tex]
We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:
[tex]x+4=-x^2+2x+10[/tex]
Since this is a quadratic equation, it's convenient to have all terms to one side:
[tex]x+4+x^2-2x-10=0[/tex]
Simplifying and reordering:
[tex]x^2-x-6=0[/tex]
Factoring:
[tex](x-3)(x+2)=0[/tex]
Solving:
x=3, x=-2
Those yield to two solutions for y:
y=x+4
y=7, y=2
The solutions of the system are:
x=3, y=7
x=-2, y=2
what is the volume of 2 G piece of gold? (Best answers gives brainlist answers)
Answer:
2 grams
Step-by-step explanation:
2 grams of gold is equivalent to 2 grams
In 9.3 x 10-8 the exponent is a negative number. Which of these describes the value of a number in scientific notation that includes a negative exponent
Answer:
0.000000093
Step-by-step explanation:
Theres seven zeros after the decimal
You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?
Answer: 16
Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16
The number of mattresses available now is 16.
Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.
What is an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Let number of mattresses do you now have available be x.
Given that, receive a new order Friday morning of 15 mattresses.
So, x=15-(7+2+0+5)+15
=30-14=16
Therefore, the number of mattresses available now is 16.
To learn more about an equation visit:
https://brainly.com/question/1529522.
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PLZ HELP WILL VOTE BRAINIEST
x + 1
Combine like terms, so terms with x go together and terms without an x go together
So 2x - x = x
3 - 2 = 1
That's as simplified as it can be
Brainiest please
6x-2x+11= -5
xs are unknown, not multiply.
Step-by-step explanation:
6x-2x+11=-5. 6x-2x=-5-11. 4x=16 4x/4=16/4. x=4
Which statement is true?(n+4)-7=18
Answer:
21
Step-by-step explanation:
(21 plus 4)=25
25 minus 7=18
~~~How I got 21~~~
I find the number that will be reasonable like 20 and work my way up
~~~Hope this helps~~~
Answer:
[tex](n+4)-7=18 \\ n = 18 + 7 - 4 \\ n = 21.[/tex]
Which of these statements is not one of Euclid axioms
Answer:
Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal. Things which coincide with one another are equal to one another.
What percent do you actually pay if 40% discount
Answer:
60%
Step-by-step explanation:
A 40% discount means that 40% will be off, meaning you won't have to pay 40% of the original price. Therefore, you only pay 60% of the original price (100% - 40% = 60%).
Yoko made $242 for 11 hours of work.
At the same rate, how much would she make for 7 hours of work?
Answer:
$154
Step-by-step explanation:
Find the rate per hour as;
if 11 hours =$242
1 hour =?
Perform cross product as:
{$242 *1} / 11 = $22
For 7 hours the amount made will be:
7* $22 = $154
David is building a toy box. Its length will be 4 feet, its width will be 2.5 feet and its height will be 2 feet. What will the volume of the toy box be?
Answer:
the answer to this would be this 20 ft
Step-by-step explanation:
you would this by taking 4 times 2.5 times 2 and you would get the answer of 20 ft for the volume.
There is a sidewalk of width x around a rectangular garden. If the garden measures twenty-feet by thirty-feet, then the combined area of the garden and sidewalk is
Answer:
Area = 200 + 50 + x
Step-by-step explanation:
Given
Length = 20
Width = 30
Side Walk = x
Required
Determine the area.
To do this we need to get the new worth and length by adding the length of the sidewalk.
This gives:
Length = 20 + x.
Width = 30 + x
So, area becomes.
Area = (20 + x)(30 + x)
Area = 600 + 20x + 30x + x²
Area = 200 + 50 + x²
3. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of 3.5 picomoles per liter. Find the probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter.
Answer: 0.8956
Step-by-step explanation:
Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.
Let X be the daily surface concentration of carbonyl sulfide.
The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability = 0.8956
Three minus twice a number x is greater than fifty-five. Write an inequality to represent this statement.
Answer:
2x - 3 > 55
Step-by-step explanation:
the answer is above
If an automobile slows from 26MS to 18 MS in a period of 4.0 S what was the average acceleration
Greg has a table that is 3.75 meters in length. He wants to make a tablecloth that is 20 centimeters longer on each end than the table. What steps should Greg use to determine the correct number of centimeters to make the tablecloth
Answer:
Use (3.75×100/1) and then add 40.
Step-by-step explanation:
I hope you pass. Can you mark me the Brainliest?
which expression is equivalent to -1/2(3- 2/5)
A. -3/2 - 1/5
B. -3/2 + 1/5
C. -3 1/2 - 1/5
D. -3 1/2 + 1/5
Answer: -3 1/2 - 1/5
What equation results from completing the square and then factoring?
x2 + 2x = 9
Answer: (x+1)^2=10
Step-by-step explanation:
What is the distance between (1, -4) and (1, 18)?
O 2 units
O 5 units
19 units
22 units
Answer:
22 units is the correct answer
l
The distance between (1, -4) and (1, 18) is 22 .The correct option is 4
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
Substituting the values of the coordinates in the distance formula;
D = [tex]\sqrt{(1-1)^{2}+(18+4)^{2} }[/tex]
=[tex]\sqrt{(0)^{2} + (22)^{2} }[/tex]
= [tex]\sqrt[n]{484}[/tex]
= 22
So, 22 units is the right answer.
Learn more about distance between two points here:
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a cell phone company charged 49.95 per month plus 0.05 per call minute i used 200 call minutes last month proportional or not proportional
Answer:
Not sure what you are asking here but the answer is $59.95
Step-by-step explanation:
$49.95 + (10 * 0.05)
In triangle QRS the measure of right angle S is SQ=90 degrees Sq=47 feet and Rs=70 feet. Find the measure of angle R to the nearest tenth of a degree
Answer:
x=33.9°
Step-by-step explanation:
Trigonometric Ratios
In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.
There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.
The current question gives us two sides in a right triangle and requires us to calculate the angle x.
The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.
We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.
The tangent of an angle is defined as:
[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]
Use the given values:
[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]
Using a calculator (in degree mode), we calculate the angle:
[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]
x=33.9°
what is 6 1/4 divided by 6 1/2?
What are the measures of angle A,B,C and D?
Who here got zoom and can do math?
lol no use meeting. But zoom is good too.
Let x be Bob's age. Heather is 5 years younger than Bob. Write an expression for Heather's age.
Answer:
x-5
Step-by-step explanation:
since we don't know bob's age, x will represent it. we know that heather is 5 years YOUNGER than bob.
x (bob's age) - 5 (because that's how many years heather is younger than bob is)
hope this helps :D
(x7) - 3 = 4
Find what X = ?
Answer:
1
Step-by-step explanation:
add 3 to 4
(1x7)= 7