A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?
56 + 8x
Area of Rectangle = Length x Width
Area of Rectangle = 8(7 + x)
From a sample size of 169, it was determined that the 68% confidence interval for the population mean is (505, 517). Therefore, the sample mean was ___. and the margin of error was ___.
A. 511; 6
B. 511; 12
C. 513; 6
D. 513; 12
Answer:
A. 511; 6
Step-by-step explanation:
The margin of error would be [tex]\pm\frac{517-505}{2}=\pm\frac{12}{2}=\pm 6[/tex]
The sample mean would be [tex]505+6=511[/tex] (or [tex]517-6=511[/tex])
1 A community group is painting classrooms. One 20 litre can of costs R1 699,00. It is then reduced by 6%. Determine the new cost of a 20 litre can
Solve for x: one over four (4x + 15) = 24
A: 45
B: 207/4
C: 81/4
D: 9
Answer:
[tex]C. x = \frac{81}{4} = 20.25[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x+15=96[/tex]
[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+15-15=96-15[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x=81[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}=\frac{81}{4}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{81}{4}[/tex]
Lucy borrowed $73,250 to purchase a home. The bank offered her an APR of 3.15% for a term length of 20 years. Excel calculates the monthly payment to be $411.77. If she were to pay only the minimum payment for the lifetime of the loan, how much will Lucy be paying in interest?
Amount Lucy will be paying in interest will be $38,596.2
Using the compound amount formula to get the amount after she will pay back after 20 years expressed as:
[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after 20 yearsr is the rate = 3.15% = 0.0315time in years = 20 yearsn is the compounding time = 12 (monthly)P is the amount borrowed = $73,250Substitute the parameters into the formula;
[tex]A=73,250(1+\frac{0.0315}{12} )^{20(12)}\\A= $73,250 (1.8761)\\A= \$137,421.49[/tex]
If Excel calculates the monthly payment to be $411.77, the amount paid for 20 years will be $411.77 * 240months = $98,824.8
Amount Lucy will be paying interest will be $137,421- $98,824.8 = $38,596.2
Learn more on compound interest here: https://brainly.com/question/24924853
PLEASE HELP ME:))
what’s the value of x?
\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]
The approximate average distances from the sun to Mars and Mercury are listed
below:
Mars: 2.28 x 108 kilometers
Mercury: 5.79 x 107 kilometers
How many times farther from the sun is Mars? Write your answer in standard
notation, rounding to the nearest tenth.
Answer:
3.9
Step-by-step explanation:
Your calculator will tell you ...
(2.28×10^8)/(5.79×10^7) ≈ 3.9
Mars is about 3.9 times as far from the sun as Mercury.
what is the slope of (8,3) (-5,3)
Answer:
-13x. (I think)
Step-by-step explanation:
Really easy question!!! will mark BRAINLIEST
True or false. The weight of the moon is six times that of earth? Create an equation.
Step-by-step explanation:
False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.
REI.C.6 Level 1
below.
2. A student is solving the system,
2x + 3y = 12
5x - 2y = 11
algebraically. Their work is shown below but is unfinished.
Continue where the student left off and solve the system.
2x + 3y = 12
5x - 2y = 11
=
2 (2x + 3y = 12)
3 (5x - 2y = 11)
4x + 6y = 24
15x – 6y = 33
-
Answer:
The solution is x = 3, y = 2.
Step-by-step explanation:
4x + 6y = 24
15x – 6y = 33 Add these 2 equations:
19x = 57
x = 57/19
x = 3. Now Substitute for x in the original equation:
2(3) + 3y = 12
3y = 12 - 6
2y = 6
y = 2.
The volume (V) of a rectangular pyramid can be determined by using the following
formula.
Iwi
V
Where l= the length of the rectangle, w = the width of the rectangle, and h = the heigh
of the pyramid, what is the result of solving this equation for w?
Ow=3V-th
O2 - V +3 - th
V3
th
3V
O w=
Answer:
[tex]{ \rm{V = \frac{lwh}{3} }} \\ \\ { \rm{3V = lwh}} \\ \\ { \boxed{ \rm{ \: w = \frac{3V}{lh } \: }}}[/tex]
solve systems of equations 6x+2y=1 y=-3x+3 using substition??? Need answers quickly!!!!!
write an equation for the line in standard form that passes through the following points (-2,-3) (-3,-6)
ANSWER: y = 3x + 3
Ok done. Thank to me :>
Simplify:
(8)214+(8)(−12)
plz help :(
the title block in a working drawing indicates that the scale is a ratio of 1 and 5. This means that the real measurement of the machine is five times the what?
A scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.
The title block on a working drawing shows some important details that may be relevant in reading the drawing. One of such important details is the scale of the drawing.
The scale tells us how the size of the drawing relates to the actual size in the real world. Hence, a scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.
Learn more about scale drawing: https://brainly.com/question/147532
?/5 =8/10 type the missing number that makes this fraction equal
Avery had 25.92 in her wallet. If she bought lunch with 7 1/2 dollars from her wallet, how much did she have in her wallet after lunch?
Pls help , congruent triangles exercise.
Step-by-step explanation:
We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.
First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)
Next, The problem states that KK' and LL' are equal. (so that gives our S)
Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)
Hope this helped :D
Don’t know how to do this
Answer:
[tex]horizontal : 76 \\ \\ \\ vertical : 33 \\ \\ pls \: check \: this \: answer \\[/tex]
3 2/3 + 2 3/5 + x = 8
Answer: x= [tex]-\frac {109}{15}[/tex]
Mr. Factor bought 9.8 gallons of gasoline at $1.15 a gallon. How much did he pay for the gasoline?
Answer:
8.52
Step-by-step explanation:
9.8 divided by 1.15 = 8.52
Please help
Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___
Answer:
-2 12
-1 7
0 2
1 -3
2 -8
Step-by-step explanation:
[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)
-2 ___
f(-2) = 2−5x
f(-2) = 2−5(-2)
f(-2) = 2 + 10
f(-2) = 12
-1 ___
f(-1) = 2−5x
f(-1) = 2−5(-1)
f(-1) = 2 + 5
f(-1) = 7
0 ___
f(0) = 2−5x
f(0) = 2−5(0)
f(0) = 2
1 ___
f(1) = 2−5x
f(1) = 2−5(1)
f(1) = 2 - 5
f(1) = -3
2 ___
f(2) = 2−5x
f(2) = 2−5(2)
f(2) = 2−5(2)
f(2) = 2−10
f(2) = -8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Figure B is a scale image of Figure A, as shown.
7
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this: 42/53
Explanation:
Divide the side length for B over the corresponding side length for A.
scale factor = B/A = 7/(2.5) = 2.8
Let's now convert this to a fraction
2.8 = 2 + 0.8 = 2 + 8/10 = 20/10 + 8/10 = (20+8)/10 = 28/10
Then reduce that fraction
28/10 = (14*2)/(5*2) = 14/5
Note that 14/5 = 2.8
Which is equivalent to the following expression? (2x - 1)(x + 3)
Answer:
2x2+5x−3
Step-by-step explanation:
Expand the polynomial using the FOIL method.
Determine the slope from the given graph below:
The slope is−17
The slope is 5
The slope is 7
The slope is -5
Answer:
The slope is positive 7
Step-by-step explanation:
The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)
Answer:
The slope is 7
Step-by-step explanation:
(1,2)(0,-5)
[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]
Hope this helps
look at the picture please also be quick bec
Mrs.Lavander and Mr.Lavander just got marriade.They want to build a mansion but....it cause 1563$ and food...569$ there money is 3641$.How much will they spend?
Answer:
$2132
Step-by-step explanation:
They will spend : 1563+569= 2132 (dollars)
By the way did you copy the right question ? Because i see unnecessary information in this question. Anyway, try to check it again !
Find an equation in the form y=ax^2+bx+c for the parabola passing through the points.
(3,25) (1,3) (-5,-15)
Thanks for the help! :)
Answer: [tex]x^2+7.0x-5.0x[/tex]
Step-by-step explanation:
Please look for the question in the picture.
Answer:
two negitives equals a positive so C none of the above
Hope This Helps!!!
Answer:
A and B
Step-by-step explanation:
Which expression is equivalent to -8(10x – 3)?
A) -80x + 24
B) -80x - 24
C) - 80x - 3
D) -80x + 3
Answer:
-8(10x-3) = -80x+24 = A
Step-by-step explanation:
yr welcome