Answer:
[tex]F = 27\frac{2}{3}[/tex]
[tex]S = 24\frac{2}{3}[/tex]
[tex]T = 31\frac{2}{3}[/tex]
Step-by-step explanation:
Represent the first piece with F, the second with S and the third with T.
So:
[tex]S = F - 3[/tex]
[tex]T =4+ F[/tex]
[tex]S + T + F = 84[/tex]
Required
Find the length of each piece
Substitute [tex]S = F - 3[/tex] and [tex]T =4+ F[/tex] in [tex]S + T + F = 84[/tex]
[tex]F - 3 + 4 + F + F = 84[/tex]
Collect like terms
[tex]3F = 84 + 3 - 4[/tex]
[tex]3F = 83[/tex]
Divide through by 3
[tex]F = \frac{83}{3}[/tex]
[tex]F = 27\frac{2}{3}[/tex]
Substitute [tex]F = 27\frac{2}{3}[/tex] in [tex]S = F - 3[/tex] and [tex]T =4+ F[/tex]
[tex]S = F - 3[/tex]
[tex]S = 27\frac{2}{3} - 3[/tex]
[tex]S = 24\frac{2}{3}[/tex]
[tex]T =4+ F[/tex]
[tex]T = 4 + 27\frac{2}{3}[/tex]
[tex]T = 31\frac{2}{3}[/tex]
How do you find the scale factor?
Answer:
The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.
Step-by-step explanation:
PLEASE HELP NO WRONG ANSWERS
Answer:
I believe it's C
Step-by-step explanation:
[tex]\\ \sf\longmapsto Area=30x^2-53x+12[/tex]
[tex]\\ \sf\longmapsto Area=30(3)^2-53(3)+12[/tex]
[tex]\\ \sf\longmapsto Area=30(9)-159+12[/tex]
[tex]\\ \sf\longmapsto Area=270-159+12[/tex]
[tex]\\ \sf\longmapsto Area=111+12[/tex]
[tex]\\ \sf\longmapsto Area=123[/tex]
And
[tex]\\ \sf\longmapsto Base=4x-6[/tex]
[tex]\\ \sf\longmapsto Base=4(3)-6[/tex]
[tex]\\ \sf\longmapsto Base=12-6=6[/tex]
Now
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}6h=123[/tex]
[tex]\\ \sf\longmapsto 3h=123[/tex]
[tex]\\ \sf\longmapsto h=\dfrac{123}{3}[/tex]
[tex]\\ \sf\longmapsto h=41[/tex]
Determine the domain and range of each graph. Use inequalities to write your answer.
Answer: Domain is [3,∞), The range is All real numbers.
Step-by-step explanation:
Question 10 (2 points)
Solve.
3x²+2=17
Answer:
x1
Step-by-step explanation:
Find the diameter of the circle who's radius is 9.1
Answer: d=18.2
Step-by-step explanation: d=2r=2·9.1=18.2
Angle AOC has the measure of 87°, determine the measure of the angle in radians.
Answer:
1.518 radians is the answer.
Step-by-step explanation:
Degree to radian conversion = 1° × [tex]\frac{\pi }{180}[/tex]
87° × [tex]\frac{\pi }{180}[/tex]
1.518 radians
A physical examination was used to screen for breast cancer in 7600 women with biopsy proven adenocarcinoma of the breast and in 11,000 age and race matched control women. The results of the physical examination were positive (i.e. a mass was palpated) in 5,500 cases and 1,700 control women (who showed no evidence of cancer at biopsy). The total population is 18,600. The sensitivity of the physical examination was:______.
Answer:
72.37%
Step-by-step explanation:
Calculation for what The sensitivity of the physical examination was
Using this formula
Sensitivity=Positive physical examination cases/Physical examination screening for breast cancer
Let plug in the formula
Sensitivity=5,500 cases / 7600 women
Sensitivity=0.7237*100
Sensitivity=72.37%
Therefore The sensitivity of the physical examination was 72.37%
Answer:
72.37% is the answer for this
In Example 5, Norfolk recorded a new record low last night. The new record low is greater than the record low in Lynchburg. What integers can represent the new record low in Norfolk?
Answer:
Here is something you can study.
Step-by-step explanation:
PLZZ help middle school math you just have to explain how to solve it. please don't put big words so I can understand and my teacher will think its me...lol
Answer:
tell her you don't understand it and she'll help you ok good luck
Mitch has 2 cups of unpopped popcorn. He uses
1/4 cup to make 1 bowl of popcorn. How many bowls of
popcorn can he make?
What number should
be added to both sides of the equation to complete the square?
x2 + 8x = 4
4
8
16
O 32
Turner’s backyard deck cost $38.31 per square meter to build. The deck is 9 meters wide and 11 meters long. How much did it cost to build the deck?
Answer:
$3792.69
Step-by-step explanation:
First, we would find the area,
Area = width x length
Area = 9 x 11
Area = 99[tex]m^{2}[/tex]
Since each square meter costs $38.31, we would multiply the cost with the area,
Total Cost = 99 x 38.31
Total Cost = $3792.69
(Anyone can correct me if I'm wrong)
WILL GIVE BRAINLST
HAVE A AMAZING DAy !!
Answer:
u 2
and stay positive :)
Step-by-step explanation:
Hello! I do not know if you meant to put up a question, but I also hope that you have an amazing day! :)
I really need help Will give brainyest!!!
Answer:
C.
Step-by-step explanation:
The median is the middle line of the box. 30 is for Town A and 40 is for Town B. 30 is less than 40
A? is a graphical display of a set of data where each separate piece of data is shown as a
mark above a number line.
Answer:
dot plot a visual display in which each piece of data is represented by a dot above a number line.
Step-by-step explanation:
Simplify 3^2 ⋅ 3^5
^ = are exponents
A 3^7
b
3^10
c
9^7
d
9^10
Answer:
B
Step-by-step explanation:
when simplifying base stays the same we only deal with exponent I think I need help too
...
Dear Math, I am sick and tired of finding your x. Just accept the fact that she is gone. MOVE ON, DUDE.
Answer:
honestly lile wth are you obessed
Answer:
ahem,
Step-by-step explanation:
Dear math, solve your own problems, i have too much of my own. Amen
Math please help i have 8 more
Answer:
Step-by-step explanation:
he bout 6 red rose
Step-by-step explanation:
6
Eli bought 6 roses as 2/3 ×9=2×3 =6th
If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!
Answer:
15 cm
Step-by-step explanation:
You need to remember 2 theorems about a rhombus.
1. The diagonals of a rhombus bisect each other
2. The diagonals of a rhombus are perpendicular to each other
In other words, the diagonals of a rhombus are perpendicular bisectors.
BE = 9 and AE = 12
ΔAEB is a right triangle. So, the Pythagorean theorem says
[tex]9^{2} + 12^{2} = AB^{2}[/tex]
[tex]AB^{2}[/tex] = 81 + 144
= 225
AB = [tex]\sqrt{225} = 15[/tex] cm
If the sales tax rate is 8.5%, how much would you pay for an item that costs $26.00?
Answer:
23.79
Step-by-step explanation:
if y=10 when x=5 what does y equals when x=0.2
Answer:
.4
Step-by-step explanation:
y=2x
y=2(.2)
y=.4
there is your answer
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Answer:
814.15 ft long
Step-by-step explanation:
We use the sine of 32.8 degrees to find the hypotenuse which is the length of the highway:
sine = opp/hyp
sin32.8=800/x (evaluate sin and multiply by x)
0.9826178774x = 800 (divide)
x=814.15 ft long
answer =814.15
explanation= we'll firstly need to find the hypotenuse by using the 32.8 degrees
•°• Sin 32.8=800/?
then, 0,9826178874=800
then we divide as the answer will be 814.15
A square barn has sides that are 6 meters long. What is the barn's perimeter?
*........* meters
Answer: I would say option A but i am not sure
Explanation: I never to the test
which expression is equivalent to 8(5x-3)
13x-11
13x-24
40x11
40x-24
Answer:
The last answer option.
Asim mixed 5 gallons of paint.
Which of the following can be used to
find the number of pints of paint that
Is Asim mixed?
a.5 × 4 × 2
b. 5 × 4 , 2
c.5 × 2 × 2
d.5 , 2 × 2
is it a.b.c.d?
Answer:
5 × 4 × 2
Step-by-step explanation:
5 gallons
4 quarts per gallon
2 pints per quart
Find the surface area and volume of the prism
Answer:
I only know the first one.
The surface area of the prism is 900 cm2
Step-by-step explanation:
To solve the surface area, we need to find the area of the SURFACE not the inside of the cube. Lets do the rectangles first.
28 x 13 = 364
28 x 5 = 140
28 x 12 = 336
1 1
336
+ 140
364
-------------
8 4 0
Now lets do the triangles.
Remember! To find the area of a triangle, you have to do Base x Height x 1/2 because it's half a rectangle.
(The triangles have the same area)
12 x 5 x 1/2 = 30
12 x 5 x 1/2 = 30
30
+ 30
--------
60
The last step is to add the areas of the triangles and the rectangles.
1
840
+ 60
------------
900 cm2
The answer is 900cm2
This Is not copy pasted, I actually put in all this effort.
Hope this helps :) And have a wonderful day! :D
Assessment timer and count
Assessment items
Item 1
A scientist studied the replication of bacteria in a lab environment. This table gives the bacteria count for the first 12 hours. The table can be modeled using an exponential function.
Hours 2 4 6 8 10 12
Bacteria count 1,240 5,100 20,990 86,520 365,520 1,469,170
What function best represents the data?
y=300+4x
y=1240⋅2.03x
y=4x
y=300⋅2.03x
Answer: y=300⋅2.03x
Step-by-step explanation:
Answer:
D.) y = 300 ⋅ 2.03x
Step-by-step explanation:
By using the plug-in method, you use "Hours" as the X in this question.
If you plug in 2, 4, 6, 8, 10, and 12 to y = 300 ⋅ 2.03x, you will get the closest answers to "Bateria Count"
1,236.27 = 300 ⋅ 2.03^2
5,094.54= 300 ⋅ 2.03^4
2,0994.11 = 300 ⋅ 2.03^6
86,514.63 = 300 ⋅ 2.03^8
and so on- all are the closest to the chart.
Hope this helped! :)
Joe and Nancy decide to take a road trip. The first 72 miles of the drive are pretty easy, while the last 84 miles of the drive are filled with curves. They drove at an average 7 miles per hour faster for the first 72 miles of the trip. The entire trip took 3 hours. How fast were Joe and Nancy driving for the first 72 miles of the trip?
Answer:
120
Step-by-step explanation:
let r be the rate for the slower, 84 miles, portion of the trip
let t1 be the time for the 120 miles portion of the trip and t2 for the 84 miles portion
:
1) t1 + t2 = 3
2) (r+9)*t1 = 120 and r*t2 = 84
3) (r+9)*t1 + r*t2 = 120 + 84 = 204
:
expand the left side of equation 3
:
r*t1 + 9*t1 + r*t2 = 204
r*(t1+t2) +9*t1 = 204
:
substitute for (t1+t2) by using equation 1)
:
3*r + 9*t1 = 204
:
divide both sides of = by 3
:
4) r + 3*t1 = 68
:
use the equation for t1 from the equations defined at 2)
:
t1 = 120 / (r+9)
:
substitute for t1 in equation 4)
:
r + 3*(120/(r+9)) = 68
:
r^2 +9r +360 = 68 * (r+9)
:
r^2 -59r -252 = 0
:
(r-63)*(r+4) = 0
:
r = 63 and r = -4
:
we reject the negative value for r
:
***************************************************************************
Joe and Nancy drove 63+9 = 72 miles per hour for the first 120 miles of the trip
Write an equation from a real life situation
1. A membership at a yoga studio costs $35 per month, m. Write an equation to find the final cost, c?
2. After you wrote your equation, answer this question. Show your work.
" You attended the yoga studio for 20 months. What was the final cost?
Answer:
1. C=35m?
2.C=700 or $700
Step-by-step explanation:
1. Total Cost= Rate x Number of Months
2. C=35m
Cost=rate x number of months
C=35(20)
C=700 or Total Cost=$700
Answer:
1. c = 35m
2. c = 35 · 20
20 · 35 = $700
Step-by-step explanation:
What is the answer for this please help me
Answer:
x = 45
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Move the variable to the left