Answer:
1.72
Step-by-step explanation: 19.28+25.3= 44.58
46.3-44.58=1.72
The grid shows a diagram for a planned parking lot. Each unit on the grid represents 5 millimeters in length. Based on the scale, what will be the area of the actual parking lot?
A .1,080 square meters
B. 5,400 square meters
C.32,400 square meters
D. 38,880 square meters
So when you simplify 92/4 + 10 + 4/10 what do you get
Answer:
33 1/5
Step-by-step explanation:
Turn 92/4 into a mixed number to make this problem easier, which equals 23. So the equation will look like: 23 + 10 + 4/10. Now add them all together and you will get 23 + 10 + 4/10 = 33 4/10. Now simplify 33 4/10 and you will get 33 1/5
Answer:
Step-by-step explanation:
92 /4 +10+4/10
=23+10+ 4/10
=33+4/10
=33+2/5
=167/5
solve equation for solution
4=5x
Answer:
X=0.8 or x=4/5
Step-by-step explanation:
Answer:
x = 0.8
Step-by-step explanation:
Step 1: Divide both sides by 5
4 / 5 = 5x / 5
0.8 = x
Answer: x = 0.8
Solve this: 2x+y=-7y Y=x+10
Answer:
In this equation, when x = -8 , Y = 2
Answer check using either equation =
(1) 2x + y = -7y ===> 2(-8) + 2 = -7(2) ===> -14 = -14
(2) Y= x + 10 ===> 2 = -8 + 10 ===> 2 = 2
Step-by-step explanation:
Assuming that you are looking for "x" and "y", Let
2x + y = -7y ................. (1)
Y= x + 10 ................. (2)
From equation (2), Y = x + 10, therefore substitute for "Y" in equation (1) to get the value of "x"
2x + x + 10 = -7(x + 10)
3x + 10 = -7x - 70
gather like terms on each side.
3x + 7x = -70 - 10
10x = -80
divide through by 10
x = -8
Now substitute for "x" in equation (2)
Y = x + 10
Y = -8 + 10
Y = 2
Suppose you have a 42 inch TV that is 57 centimeters tall by 96 CM wide. You want to upgrade to the 60inch version of that TV. The height and width are 42in and 60 in. If you know the width of the 60 inch TV is 137 cm what is the height?
Answer:
The height is 67 cm
Step-by-step explanation:
Remember that
[tex]1\ in=2.54\ cm[/tex]
we know that
The size of a TV is measured by its diagonal
Convert 60 inches to centimeters
[tex]60\ in=60(2.54)=152.4\ cm[/tex]
Applying the Pythagorean Theorem
[tex]D^2=H^2+W^2[/tex]
where
D is the diagonal
H is the height
W is the width
we have
[tex]D=152.4\ cm\\W=137\ cm[/tex]
substitute
[tex]152.4^2=H^2+137^2[/tex]
solve for H
[tex]H^2=152.4^2-137^2\\H^2=4,456.76\\H=67\ cm[/tex]
write the repeating decimal as a fraction; 0.858585...
Answer:
85/99
Step-by-step explanation:
[tex]\frac{171717}{200000}[/tex]
Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters.
The width is 2x + 6 centimeters, and is of the length. What are the dimensions
of the canvas?
Answer:
Length:15 cm
Width: 12 cm
Step-by-step explanation:
The complete question is
Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. The width is 2x + 6 centimeters, and is 4/5 of the length. What are the dimensions of the canvas?
Let
L ----> the length of the rectangular canvas
W ---> the width of the rectangular canvas
we know that
The width is 4/5 of the length
so
[tex]W=\frac{4}{5}L[/tex] ----> equation A
substitute the given values in equation A
[tex](2x+6)=\frac{4}{5}(6x-3)[/tex]
solve for x
[tex]10x+30=24x-12\\24x-10x=30+12\\14x=42\\x=3[/tex]
Find the dimensions of the canvas
substitute the value of x
[tex]L=6(3)-3=15\ cm[/tex]
[tex]W=2(3)+6=12\ cm[/tex]
Find the volume of a cone that has a radius of 3 inches and a height of 9 inches. Use 3.14 for pi and round your answer to the nearest hundredth.
Volume of the cone is 100 in³
Step-by-step explanation:
Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 3 inches and h = 9 inches.Volume = 1/3 × 3.14 × 3² × 9
= 84.78 in³ ≈ 100 in³ (rounding off to nearest hundredth)
Final answer:
The volume of a cone with a radius of 3 inches and a height of 9 inches is approximately 84.78 cubic inches.
Explanation:
To find the volume of a cone with a radius of 3 inches and a height of 9 inches, you can use the formula for the volume of a cone, which is:
[tex]V = (1/3)\pi r^2h[/tex]
Plugging the given values into the formula gives us:
[tex]V = (1/3) * 3.14 * (3 inches)^2 * 9 inches[/tex]
Now, calculate the square of the radius:
[tex]V = (1/3) * 3.14 * 9 * 9[/tex]
Next, multiply all the numbers together:
[tex]V = 3.14 * 27[/tex]
V = 84.78 cubic inches
Therefore, the volume of the cone is approximately 84.78 cubic inches, rounded to the nearest hundredth.
The mixed number 4 1/2 is equal to which improper fraction?
A.)8/2
B.)9/2
C.)5/2
D.)4/2
Answer:
B) 9/2
Step-by-step explanation:
4½ = 4 + ½
= 8/2 + 1/2 = 9/2
Answer: 9/2
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 2, times the whole number, 4, then we add the numerator, 1. So we have (2 × 4) + 1 of 8 + 1 which is 9.
Finally, we put our new number over our old denominator and we have our answer, 9/2. There is also an image provided showing my work.
So 4 and 1/2 can be rewritten as the improper fraction 9/2.
Ethel wants to have $70000 in 20 years. How much does she need to invest today at 5.46% cc?
Find the principle and interest
Please help
[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&\$70000\\ P=\textit{original amount deposited}\\ r=rate\to 5.46\%\to \frac{5.46}{100}\dotfill &0.0546\\ t=years\dotfill &20 \end{cases} \\\\\\ 70000=Pe^{0.0546\cdot 20}\implies 70000=Pe^{1.092}\implies \cfrac{7000}{e^{1.092}}=P \\\\\\ 23488.13 \approx P~\hfill \stackrel{~\hfill \textit{the earned interest will be}}{70000-23488.13\implies 46511.87}[/tex]
Ariana Grande is coming to North Gulfport Middle School for a fundraising benefit concert! Nevaeh is selling tickets. This week, she sold 3 kids tickets and 9 adult tickets for a total of $75. Last week, she sold 8 kids tickets and 5 adult tickets for $67. How much was each adult ticket, and how much was each kids ticket?
Step-by-step explanation:
Set up a systems of equations (x = kids, y = adults)
3x+9y=75 --> 15x+45y=375
8x+5y=67 --> 72x+45y=603
Subtract the two equations
57x = 228
x = 4
A KID'S TICKET IS $4
Plug that in for x
4(3)+9y=75
12+9y=75
9y=63
y=7
AN ADULT'S TICKET IS $7
x/20=4/5 what’s us the Poportion
Answer:
For this question, x = 16
Step-by-step explanation:
x/20 = 4/5
if we cross multiply, we will have
x × 5 = 4 × 20
5x = 80
x = 80/5
x = 16
Answer: 16
Step-by-step explanation:
X/20 = 4/5
Cross multiply
(5×X) = (20×4)
5x = 80
x = 80/5
x = 16
Three less than two times x is y
Step-by-step explanation:
The Mathematical transformation of the given statement would be:
[tex]2x - 3 = y[/tex]
Tanya is making a scale model of a tower. The tower is 90m tall and 22.5m wide . Tanya’s model is 4.5 com wide. How tall is her model?
Answer:
20
Step-by-step explanation:
Tony asks 8 people to name their favorite pet. Of the people he asks 2 out of 8 chose rabbit and the fraction of people who choose cat is equal to the fraction of the people choose dogs.
Question
What fraction choose dogs?
Answer:
[tex]\frac {3}{8}[/tex]
Step-by-step explanation:
When 2 choose rabbits then to get the number that choose other anomals apart from dogs is given by getting the difference between total people and those who choose dogs. This then is expressed as 8-2=6 choose either cat or dogs. These six, half of them choose choose cats and the remaining choose dogs. Therefore 6/2=3
For 3 out of 8, this fraction is equal to
[tex]\frac {3}{8}[/tex]
Therefore, the fraction that choose dogs or cats is equal to
[tex]\frac {3}{8}[/tex]
What is the product of 10 and 9radical 72 in simplest radical form
Step-by-step explanation:
[tex]10 \times 9 \sqrt{72} \\ = 90 \sqrt{36 \times 2} \\ = 90 \times 6 \sqrt{2} \\ = 540\sqrt{2} [/tex]
Final answer:
To find the product of 10 and 9√72, simplify √72 to 6√2, then multiply the outside coefficients (10 and 9) to get 90, and attach the simplified radical. The final answer is 90√2.
Explanation:
The question asks to find the product of 10 and 9√72 in simplest radical form. First, recognize that the square root of 72 can be simplified by factoring out perfect squares. The square root of 72 is equal to the square root of 36 times 2, which simplifies to 6√2. Now, multiply the outside coefficients (10 and 9) and then multiply the result by the simplified radical. The final simplification is 90√2, which is the product of 10 and 9√72 in simplest radical form.
subtracting polynomials
The solution is 10x² + 7x - 1
Step-by-step explanation:
Step 1: Subtract -2x² + 3x - 9 from 8x² + 10x - 10(8x² + 10x - 10) - (-2x² + 3x - 9) = 8x² + 10x - 10 + 2x² - 3x + 9
= 10x² + 7x - 1
Step-by-step explanation:
[tex]\huge\bold\purple{ 10x^2+7x-1 }[/tex]
URGENT MULTIPLE CHOICE - The numbers 1 through 15 are written on cards. One card is chosen at random. Event A is choosing a multiple of 5. Event B is choose an odd number. What is the probability of choosing an even number?
o 7/15
o 4/5
o 2/15
o 3/5
Step-by-step explanation:
even number cards is 7 cards (2,4,6,8,10,12,14)
so probability is 7/15
The probability of pulling out an even number from a set of 15 numbers (1-15) is 8/15, but none of the provided multiple choice options match this answer.
Explanation:The correct answer to this question could be found using the basic concepts of probability. Here, you have 15 cards in total. Among these 15, there are 8 even numbers: 2, 4, 6, 8, 10, 12, 14. The probability of choosing an even number (Event E) is thus Number of favourable outcomes (Event E) divided by Total number of outcomes.
This boils down to Probability (Event E) = Number of even numbers / Total numbers = 8 / 15. As such, none of the provided multiple choice answers are correct.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ5
what are two workout habits you are proud of?
Answer: Warming up and drinking enough water
Step-by-step explanation:
You should really ask yourself this, but you can talk about your perserverance, and not being afraid to try something new.
In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male) (150 pounds female) how many males and females can fit on the elevator.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of males on the elevator
y ----> the number of females on the elevator
we know that
The inequality that represent this situation is
[tex]180x+150y\leq 2,700[/tex]
The solution of the inequality is the shaded area below the solid line [tex]180x+150y=2,700[/tex]
The slope of the solid line is negative
The y-intercept of the solid line is (0,18)
The x-intercept of the solid line is (15,0)
see the attached figure
The solution is the triangular shaded area
The maximum number of females is 18 (when the number of males is zero)
The maximum number of males is 15 (when the number of females is zero)
Is 40(2x-16y) equivalent to 42-56y
Answer:
No, 40(2x - 16y) is not equivalent to 42 - 56y
Step-by-step explanation:
40(2x -16y)
If we expand the above expression, we will have
80x - 16y which is not equivalent to 42 - 56y
A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.
What is the approximate sales tax rate?
0.07%
1.07%
7%
70%
Equation:
37.29 = 34.85 + 34.85(x)
Solving:
37.29 = 34.85 + 34.85x
2.44 = 34.85x
x = 0.07
The approximate sales tax rate is 7%.
Hope this helps!! :)
Answer:
im pretty sure its 0.07
Step-by-step explanation:
belle put the muffins she baked on six plates, four of which are red and two of which are yellow. the four red plates each have 5 muffins. the two yellow plates each have the same number of muffins write an expersion for the total number of muffins belle baked if each yellow plate has 8 muffins,find how many muffins belle baked in all
Answer:
36 total muffins
Step-by-step explanation:
5*4=20
8*2=16
20+16=36
Hey there!
To write an expression to represent this:
We know that the four red plates each have 5 muffins, and 4 x 5 = 20.
So we can say 20 + 2y is the expression, because we add 20 to the muffins on the two yellow plates.
The number of muffins on each yellow plate is represented by the variable y.
If each yellow plate has 8 muffins, so y = 8, the expression will look like this:
20 + 2(8)
Multiply 2 x 8.
20 + 16
Add 20 + 16.
36
Belle baked 36 muffins total.
Hope this helps!
Mrs. Lowe gave a countries project to three of her students George, Martin, and Andrew. Use an organized list to show all the possible orders the three students can present their projects.
Answer:
GeorgeMartinAndrewGeorgeAndrew MartinAndrewGeorge MartinAndrew MartinGeorgeMartinAndrewGeorgeMartinGeorgeAndrewStep-by-step explanation:
Amira has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last.
Answer:15
Step-by-step explanation:
You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2
Amira's cat food will last 7.5 weeks, considering the cat eats 1/10 of a bag per week.
To find out how many weeks the cat food will last, you can divide the amount of food Amira has by the amount her cat eats per week.
First, let's calculate how much her cat eats per week:
1/10 of a bag per week.
Now, let's calculate how many weeks the food will last:
(3/4) / (1/10)
To divide fractions, you can multiply by the reciprocal of the divisor:
(3/4) * (10/1) = (3/4) * 10 = (3 * 10) / 4 = 30/4
Now, let's simplify 30/4:
30 divided by 4 equals 7 with a remainder of 2, so 30/4 = 7 + 2/4
Since 2/4 simplifies to 1/2, we get:
7 + 1/2 = 7.5
So, the cat food will last approximately 7.5 weeks.
ABCD is a parallelogram If m C = 98 then what is m A
Answer:
[tex]m\angle A=98^o[/tex]
Step-by-step explanation:
we know that
In a parallelogram opposite angles are congruent and consecutive angls are supplementary
In this problem
we have the parallelogram ABCD
so
[tex]m\angle A=m\angle C[/tex] ----> by opposite angles
[tex]m\angle B=m\angle D[/tex] --> by opposite angles
and
[tex]m\angle A+m\angle B=180^o[/tex] ----> by consecutive angles
[tex]m\angle B+m\angle C=180^o[/tex] ----> by consecutive angles
we have
[tex]m\angle C=98^o[/tex]
therefore
[tex]m\angle A=98^o[/tex]
Answer:
Step-by-step explanation:
help me
The scale of a map is 3 in: 45mi. Find the actual distance if the map distance between two towns is 5 in.
Answer:
75 miles
Step-by-step explanation:
We can use cross products to solve
3 in 5 in
--------------- = -------------------
45 mi x miles
3 * x = 5 * 45
3x = 225
Divide each side by 3
3x/3 = 225/3
x =75 miles
To find the actual distance between two towns on a map, use the scale provided. Set up a proportion using the scale and the map distance to find the actual distance. In this case, the actual distance is 75 miles.
Explanation:To find the actual distance between two towns on a map, you can use the scale provided. In this case, the scale is 3 in: 45 mi. This means that 3 inches on the map represents 45 miles in the real world. If the map distance between the two towns is 5 inches, you can set up a proportion to find the actual distance.
Using the scale, you can set up the equation:
3 inches / 45 miles = 5 inches / x miles
Cross-multiplying, you get:
3 * x = 5 * 45
Simplifying, you get:
x = (5 * 45) / 3
x = 75 miles
Therefore, the actual distance between the two towns is 75 miles.
The first hexagon is dilated to form the second hexagon.
Select answers from the drop-down menus to correctly complete the statements.
The scale factor is
.
This represents
Answer:
The scale factor is 1.25 and this represents an enlargement.
Step-by-step explanation:
As shown at the figure
The side length of the first hexagon = 5
The side length of the second hexagon = 6.25
So, the scale factor = 6.25/5 = 1.25
and the second hexagon is larger than the first hexagon.
So,
The scale factor is 1.25 and this represents an enlargement.
Answer:
Step-by-step explanation:
Answer please? Its a bit confusing
Answer:
160 beads
Step-by-step explanation:
let x be the number of beads to make a bracelet, then
It requires 5x beads to make a necklace and the sum is
x + 5x = 192, that is
6x = 192 ( divide both sides by 6 )
x = 32
Number of beads to make a necklace = 5x = 5 × 32 = 160
Answer:
160 beads
Step-by-step explanation:
Beads for bracelet: b
Beads for necklace: 5b
b + 5b = 192
6b = 192
b = 32
Beads for necklace: 5b = 5(32)
= 160
Which of the following represents the factorization of the binomial below ? X2-121
Answer:
(x+11)(x-11)
Step-by-step explanation:
A ^2 - B ^2 =(A+B) (A-B).. (*)
x^2 - 121=
x^2 - 11^2=(*)
(x+11)(x-11)