Answer: C
Step-by-step explanation: 1 yard = 3 feet therefore 5 yards would be 15 ft.
Ms. Thomas has a class of 16 students. She can spend 24 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 79.04 . After buying the calculators, how much does she have left to spend on each student?
Answer: 19.06
Step-by-step explanation:
School X has eight more points than school Y
School X has three times as many points as school Y
How many points does each school have?
Answer:
Let point's possessed by school A = x
and point possessed by School B = y
And the statement given Regarding the school are :
School X has eight more points than School Y. School X has three times as many points as School Y .
Writing these statements in terms of equation
1. x = y + 8
2. x = 3 y
Substituting the value of x in y, we get
3 y = y + 8
Taking variable on left side of equation
3 y - y = 8
2 y= 8
y =
As , x= y + 8 gives x = 4 + 8 = 12
Point possessed by School A = 12 points
Points possessed by school B = 4 points
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
End Time: 5/28/2021 11:59 PM
Chapter 4 Exam: Dimensional Analysis
question 9 of 10
9.)
A clothing store sells an average of 6 pairs of jeans at $55 per pair, for every hour it is open. If the store is open 6 days per week for 9 hours
each day, how much money does the store make in 2 weeks? Round to the nearest dollar.
Answer:
$35,640
Step-by-step explanation:
$55×6p×12d×9h=$35,640
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation
Answer:
[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]
Find the dimensions of a box with a square base with surface area 5656 and the maximal volume. (Use symbolic notation and fractions where needed.)
Answer:
28.51 cubic units
Step-by-step explanation:
From the given information;
The surface area is 56 and not 5656
Let assume that:
the length of the base = a &
the height of the box = h
∴
The volume of the box = a²h &
The surface area (A) = 2a² + 4ah
A = 2a² + 4ah
56 = 2a² + 4ah
56 - 2a² = 4ah
[tex]h = \dfrac{56-2a^2}{4a}[/tex]
The volume (V) = a²h
[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]
Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]
[tex]V = \dfrac{a(28-a^2)}{2}[/tex]
[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]
[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]
For the critical point V' = 0
[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]
Thus, side of the base (a) = 3.055 units
Recall that:
height [tex]h = \dfrac{56-2a^2}{4a}[/tex]
[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]
h = 3.0551 units
The maximum volume now = a²h
= (3.055)²(3.0551)
= (9.333)(3.0551)
= 28.51 cubic units
Answer:
x ( side of the square base) = 43,42 ul
h = ( the height f the box ) = 0,17 ul
Step-by-step explanation:
V = Ab * h where Ab is an area of the base and h is the height of the box
as is this case s a square base box then Ab = x² ( s the side of the square.
The surface area is ( box without lid): area of the base x² plus 4 lateral areas each one equal to x*h
So x² + 4 x*h = 5656 u²
Then 4*x*h = 5656 - x²
h = 5656 - x² )/ 4*x
V(x) = x² ( 5656 - x² )/ 4*x
V(x) = x ( 5656 - x² ) / 4
Tacking derivatives on both sides of the equation :
V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]
V´(x) = (1/4 ) * ( 5656 - 3*x² )
v¨(x) = 0 (1/4 ) * ( 5656 - 3*x² ) = 0 3*x² = 5656
x² = 1885,33
x = √ 1885,33
x = 43,42 ul
And h = 5656 - x² )/ 4*x
h = [( 5656 - (43,42)²] /4 * 5656
h = 3770,70 / 22624
h = 0,17 ul
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
What is the area of the trapezoid?
Answer:
36 cm
Step-by-step explanation:
can somebody please answer this question correctly please
Answer:
sorry i don't know the answer
Answer:
so I know the first answer
Step-by-step explanation:
so total is 40 points but the total is divide by 2 points so we get 20 questions so if u get 6 wrong then you get 20-6=14... therefore the score with 6 wrong is 14
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answer:
17.728
Step-by-step explanation:
Will mark brainlyiest
Answer:
8.3 units
Step-by-step explanation:
Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.
The hypotenuse of the red triangle
[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]
[tex] = \sqrt{65} [/tex]
The hypotenuse of the red triangle is the common side of the yellow triangle's base.
d is equal to the hypotenuse of the yellow triangle.
The length of d
[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]
[tex] = \sqrt{65 + 4} [/tex]
[tex] = \sqrt{69} [/tex]
[tex] = 8.30662...[/tex]
= 8.3 units
Answer:
8.3 units
Step-by-step explanation:
. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown. Q/A6.1. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown.
Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:
[tex]E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }[/tex]
[tex]n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]
Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, [tex]Z_\frac{\alpha }{2}[/tex] is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05, [tex]Z_\frac{\alpha }{2}[/tex] = 3. Hence:
[tex]n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900[/tex]
The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?
Answer:
6
Step-by-step explanation:
All the steps are in the photo I attached
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1. 1/5 mile per hour
2. 1/5 hour per mile
3. 1 mile per hour
4. 5 hours per mile
Answer:
20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
12 minutes per mile
what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14
Answer:
131.95
Step-by-step explanation:
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]
I WILL GIVE BRAINLIEST :D
Which NUMBERS are NOT expressed in scientific notation?
A. 3.5 x 10-4
B. 58.9 x 102
C. 9.3 x 106
D. 0.75 X 10-3
E. 6.47 x 1000
F. 1.88 x 104
Answer:
B., C., D., E., and F.,
Step-by-step explanation:
They all need exponents by a 10
what is the approximate volume of the cylinder use 3.14 for π
Answer:
904.32 cm²
Step-by-step explanation:
V = πr²h
V = 3.14 × (6 cm)² × 8 cm
V = 904.32 cm²
75.5% of the students at Sarasota Community College are from in state. If 24,950 students are from in state, how many students attend the college?
Answer:
33046 students
Step-by-step explanation:
Find how many students attend the college by dividing 24,950 by 0.755
24,950 / 0.755
= 33046.36
Round down, since the answer has to be a whole number:
33046.36
= 33046
So, approximately 33046 students attend the college
333zzzzzzzzzzzgggggggggggggh
Answer:
pointssss
Step-by-step explanation:
Put the following equation in slope-intercept form: y−5=7/4(x-1)
Answer:
y=7/4x+2
Step-by-step explanation:
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y − 5 = 7/4(x − 1)
Convert the equation into a slope-intercept form. Then we have
y − 5 = 7/4(x − 1)
y − 5 = (7/4)x − (7/4)
y = (7/4)x − (7/4) + 5
y = (7/4)x + 13/4
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
A boat costs $11,000 and decreases in value by 7% per year. How much will the boat be worth after 6 years?
a. $16,508.03
b. $10,958.00
c. $7,116.89
d. $6,618.71
Answer:
Step-by-step explanation:
Answer this simple quick question!! Pls :)
Answer:
Zero, Never
Step-by-step explanation:
2 doesn’t equal 3 so it will never be true.
SOLVE
ROUND TO THE NEAREST CENT IF NECESSARY
A UNIÓN CONTRACT CALLS FOR 6.9% SALARY INCREASE
FOR ALL EMPLOYEES
DETERMINE THE INCREASE
FOR A WORKER WHO IS CURRENTLY MAKING $32,120
WILL GIVE
BRAINLIST
X
X
X
X
Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent.
Answer:
[tex]-3 + 2x[/tex]
Step-by-step explanation:
Given
[tex]2x - 3[/tex]
Required
An equivalent expression
The expression can be rewritten as:
[tex]-3 + 2x[/tex] ---- commutative property of addition
[tex]2x - 3[/tex] and [tex]-3 + 2x[/tex] are equivalent
An expression that has two terms that is equivalent to 2x – 3 is - 3 + 2x
Given:
2x - 3
There are just two terms in the expression
2x (coefficient)-3 (constant)The two terms can be written interchangeably to form a new expression equivalent to the same
-3 + 2x (This is based on the cummutative property of addition)
The new expression equivalent to 2x - 3 is -3 + 2x (minus 3 plus 2x)
Learn more about equivalent expression:
https://brainly.com/question/2972832
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.