Answer:
12 meters
Step-by-step explanation:
Given
[tex]Scale= 1cm:2m[/tex]
Required
Determine the measurement when the scale reads 6cm
Represent this scale with x;
Such that:
[tex]Scale = 6cm:x[/tex]
Equate
[tex]Scale= 1cm:2m[/tex] and [tex]Scale = 6cm:x[/tex]
[tex]1cm:2m = 6cm:x[/tex]
Express as fraction
[tex]\frac{1cm}{2m} = \frac{6cm}{x}[/tex]
Cross Multiply
[tex]x * 1cm = 6cm * 2m[/tex]
[tex]x * 1 = 6 * 2m[/tex]
[tex]x = 6 * 2m[/tex]
[tex]x = 12m[/tex]
If Megan's tuition, fees, and expenditures for books this year total $19,000, what will they be during her senior year (three years from now),
assuming costs rise 7 percent annually? Round Future value of a Single
Amount in intermediate calculations to four decimal places.
Answer:
$23,275.817
Step-by-step explanation:
To get this answer, multiply 19,000 by 1.07.
$19,000 x 1.07 = 20,330 (one year later)
$20,330 x 1.07 = $21,753.10 (two years later)
$21,753.10 x 1.07= $23,275.817 (three years later)
The answer round to cents would be $23,275.82
To decorate her bedroom, Jocelinde spent $54.11 on new bedding, $51.96 on paint, and 67.52 on accessories. About how much did she spend to decorate her bedroom?
Answer:
$173.59
Step-by-step explanation:
54.11+51.96+67.52=173.59
Answer:
$170!
Step-by-step explanation:
Add: $54.11 + 51.96= 106.07
Then: 106.07 + 67.52 = $173
Round it!= 173 rounded to the nearest tenth!
Answer: $170
Hope this helps!! -3-ll
What is the value of x? Round to the nearest tenths place....
Answer:
x = 12.64911064
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 14^2
36 + b^2 = 196
If you pls help lol I only have 52 mins left
Step-by-step explanation:
[tex]2y + 106 = 180[/tex]
[tex]y = 106 \div 2 = 53[/tex]
[tex]y = 53[/tex]
[tex]4z + 16 = 180[/tex]
[tex]4z = 180 - 16[/tex]
[tex]z = 164 \div 4 = 41[/tex]
and the answer for x is 106
What polyhedron can be assembled from this net? Explain how you know.
Find the surface area of this polyhedron. Show your reasoning.
Answer:
It would be a triangular prism.
Step-by-step explanation:
We know this because of the two triangles at the top and bottom of this net and the rectangle connecting them. Then, if you imagine folding the second rectangle up, it would be one of the triangle's sides. Lastly for the third rectangle, it would be folded over the two triangles to finish the shape.
I hope this helps!!
Answer:
It would be a triangular prism
Step-by-step explanation:
If they ask how you got that say since the triangles at the top and bottom are both parell and to be a prim you need to have parell sides
Help me out fast on this question.
Find constants a , b, and c such that the function
y = ax2 + bx + c satisfies the differential equation y′′ + y′ − 2y = 4x2.
Answer: a = -2, b = -2, c = 1.
Step-by-step explanation:
We know that:
y = a*x^2 + b*x + c.
Then:
y' = 2*a*x + b
y'' = 2*a.
Then we can write the equation:
y′′ + y′ − 2y = 4x^2.
as:
2*a + 2*a*x + b - 2*(a*x^2 + b*x + c) = 4*x^2
To solve this, the first step is moving all the terms to the same side:
2*a + 2*a*x + b - 2*a*x^2 - 2*b*x - 2*c - 4*x^2 = 0
Now let's group terms with the same power of x.
(-4 - 2*a)*x^2 + (-2*b + 2*a)*x + (-2c + b) = 0
Now, this must be zero for all the values of x, then the parenthesis must be equal to zero:
-4 - 2*a = 0
-2*b + 2*a = 0
-2*c + b = 0
From the first equation:
-4 - 2*a = 0
-4 = 2*a
-4/2 = a
a = -2
And from the second equation:
-2*b + 2*a = 0
2*a = 2*b
a = b
b = -2.
From the third equation we have:
-2c + b = 0
-2c = b
c = b/-2 = -2/-2 = 1.
c = 1
Then our equation is:
y = -2*x^2 - 2*x + 1.
At a sale this week, a suit is being sold for $306 . This is a 15% discount from the original price.
What is the original price?
Answer:
260.1
Step-by-step explanation:15% of 306=45.9
306-45.9=260.1
Answer:
351.9
Step-by-step explanation:
x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.
I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.
Then I added the price it was sold..=306+45.9=351.9
The sum 51 + (-37) is equal to what? -14 88 88 14
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
the answer is 14 and it's postive
HELPPPPPPPPPPPPPPPPPPP
Answer:
15
Step-by-step explanation:
1. Amy Lynn's Kitchen offers a breakfast
special. Customers have a choice of fried,
poached, scrambled, or soft-boiled eggs;
bacon or sausage; hash browns or grits; and
cornbread or biscuits. How many breakfast
combinations does Amy Lynn serve?
F. 8
G. 10
H. 16
J. 32
Answer: F
Step-by-step explanation: Amy lynn's kitchen offers a variety of breakfast specials, there are four choices for customers to choose from, but each choice has a combination. Which makes it 8 combinations Amy Lynn' serves
if angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest
Answer:
∠5 = 50°Step-by-step explanation:
its alternate internal angles:
∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)
therefore,
∠5 = 50°
The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.
What is alternate internal angles?Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.
Since the given diagram shows the alternate internal angles
Since angle 4 is 50
So angle 4 should be congruent or equivalent to alternate internal angle)
So angle 5 should be 50 degrees.
learn more about an angle here: https://brainly.com/question/21103473
pls help <3 thank you sm ;)
Find the measure of the missing angle
Answer:
M1=108° M2=72°
Step-by-step explanation:
M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°
American Black Ducks migrate a great distance every year. A typical bird will travel 2,739 miles in 33 days. Which of the following best represents this trip with a constant unit rate of travel? 7.4A
Answer:
Rate of travel = 83 miles per day
Step-by-step explanation:
Given:
Total distance = 2,739
Number of days = 33 days
Find:
Rate of travel
Computation:
Rate of travel = Total distance / Number of days
Rate of travel = 2,739 / 33
Rate of travel = 83 miles per day
X+2/8=4-x/5 please hurry I’m in a rush
Wrap
Step-by-step explanation:
xsamksa
GRAHAM CORPORATION
Samantha invested in the Graham Corporation. Samantha bought n number of
shares for d dollars and paid a 2% commission to her broker. She later sold the
stock for s dollars and paid a flat fee of $11. A friend of Samantha's, Alex, also
decided to invest in the Graham Corporation. He purchased x dollars worth of
stock on his broker's advice and paid his broker a 1% broker fee.
Part A
Write an expression to model Samantha's net proceeds algebraically. Explain how
you determined the expression.
Answer:
Net proceed= s-0.98nd-11Step-by-step explanation:
Given that the shares cost $d
n shares will be =$dn
paid 2% commission to her broker= (2/100)*nd= 0.02nd
sold the share for $s
paid a fee of $11
Her net proceeds algebraically will be
Net proceed= s-nd-11-0.02nd
collect like terms
Net proceed= s-(nd-0.02nd)-11
Net proceed= s-0.98nd-11
Austin has $12 in his piggy bank and deposits 75 cents each week. Daniel has has $15 and deposits 50 cents each week
Answer:
whats the question?
Step-by-step explanation:
A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the length is 11 V2 cm or less.
Required:
a. If the probability of this has to be less than 0.01, what is the maximum allowable standard deviation?
b. Assuming this standard deviation, what is the probability that the product’s length will be between 11.75 and 12.35 cm?
Answer:
a) σ = 0,1612
b) P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
Step-by-step explanation:
NOTE: I assume the unusable length s 11,5 and less
a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) = -3,1 then:
- 3,1 = ( X - μ₀ ) / σ
- 3,1 = (11,5 - 12 )/ σ
-3,1 = - 0,5 / σ
σ = 0,1612
b) If σ = 0,1612
P [ 11,75 < X < 12,35]
z₁ (score) = ( 11,75 - 12 ) / 0,1612
z₁ = - 0,25/ 0,1612
z₁ = -1,55
From z table P [ 11,75 < X] = 0,0606
z₂ (score) = ( 12,35 - 12) / 0,1612
z₂ = 0,35 / 01612
z₂ = 2,17
From z table P [ X < 12,35] = 0,9850
Finally P [ 11,75 < X < 12,35] = 0,9850 - 0,0606
P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %
A cougar jumped a distance of 13 yards. How many inches did this cougar jump?
Answer:
468 in
Step-by-step explanation:
Step 1: Define conversions
3 feet = 1 yard
1 foot = 12 inches
Step 2: Use dimensional analysis
[tex]13 \hspace{3} yards(\frac{3 \hspace{3} feet}{1 \hspace{3} yard} )(\frac{12 \hspace{3} inches}{1 \hspace{3} feet} )[/tex] = 468 inches
how to find the area figure of square inches
I NEED THIS ANSWER QUICK PLEASE!!!!!!!!!!
During the first hour of a snowstorm, 1 2/8 inches of snow fell. In the next hour, 4 3/8 inches fell. In the third hour, the snow stopped and 1 inch of snow melted. How much snow was on the ground at the end of the third hour?
Answer:
1 + 4 = 5
4/8 +3/8 = 7/8
5 7/8 - 7/8 = 5 inches left on the ground after 3 hours
Step-by-step explanation:
Mike has at least 250 in his savings account.Which inequality represents this situation
Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines perpendicular?
Answer:
[tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
Step-by-step explanation:
From Analytical Geometry we know that horizontal lines are of the form:
[tex]y = a[/tex], [tex]\forall \,a\in\mathbb{R}[/tex] (Eq. 1)
Where:
[tex]y[/tex] - Dependent variable, dimensionless.
Which means that for all value of [tex]x[/tex] (independent variable) has [tex]a[/tex] as their image. If we write this equation in slope-intercept form, we get that:
[tex]y = 0\cdot x + a[/tex] (Eq. 1b)
Where slope is the ratio of the change in dependent variable to the change in independent variable.
Whereas vertical lines have the following one:
[tex]x = b[/tex], [tex]\forall \,b\in\mathbb{R}[/tex] (Eq. 2)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
Which means that for all value of [tex]y[/tex] (dependent variable) has [tex]b[/tex] as their image.
If we write this equation in slope-intercept form, we get that:
[tex]x = 0\cdot y + a[/tex] (Eq. 2b)
Where slope is the ratio of the change in independent variable to the change in independent variable.
In addition, we must remember that two lines perpendicular to each other observe the following relation:
[tex]m_{A} = -\frac{1}{m_{B}}[/tex] (Eq. 3)
Where [tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the slopes of each line. It is quite evident that if [tex]m_{A} = 0[/tex], corresponding to a horizontal line, then [tex]m_{B}[/tex] becomes undefined, corresponding to a vertical line.
In consequence, we come to the conclusion that [tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.
Kevin bought a used guitar at a garage sale for $150. He fixed it up and sold it for $200. What was the percent increase?
(Need explanation to show my work)
Answer:
33.3
Step-by-step explanation:
You need to divide 200 and 150 to get you 4/3. Then you will have to _____________________________
Help now plz
4/9-2/18
Answer:
The answer would be 6/18 or 3/9
Step-by-step explanation:
Answer:
if dividing...0.3
if multiplying...0
Step-by-step explanation:
In 1998, Susie Maroney set a record for the longest ocean swim without flippers. She swam 122 miles from Mexico to Cuba. Use a conversion factor to find the distance in feet. 1mile=5280 feet
Answer:
it's 644160 u need to times it if she swam 122 miles and each mile is 5280 and u answer is 644160
PLZ HELP!!!!!
how can 28/8 be a decimal?
Answer:
What is 28/8 as a decimal you ask? Converting the fraction 28/8 into a decimal is very easy.
To get 28/8 converted to decimal, you simply divide 28 by 8. Don't worry. You don't need to get the calculator out, because we did this for you.
28/8 as a decimal is:
3.5
I need an answer asap!!!!!!
What is (4 4/7) divided by 1/2?
Answer:
9.14285714286
Step-by-step explanation:
i dont know if you need to round it but heres the answer (hasnt been rounded)
Find two numbers who’s product is 132 and whose sum is 23
Answer : The two numbers are 11 and 12.