Answer: the answer 50.22
Step-by-step explanation:
You are driving a 50 foot vehicle at night. although you are on the highway, a bad rainstorm is forcing you to creep along at 35 mph. you should keep ___seconds of distance between you and the vehicle ahead.
You should keep 0.97 seconds of distance between you and the vehicle ahead.
How to calculate the distance and time taken by a carThe formula for calculating distance is expressed as:
distance = speed * time
Time = Distance/Speed
Given the following parameters
Distance = 50 feet
Speed = 35mph = 51.3ft/s
Time taken = 50/51.3
Time taken = 0.97
Hence you should keep 0.97 seconds of distance between you and the vehicle ahead.
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Three times a number increased by two
times another number equals 28. Two
times the first number increased by
three times the second number equals
27. Find the two numbers.
Answer:
r={21}
Step by Step Explanation:
PREMISES
Two times three plus a number, say, r=27
ASSUMPTIONS
Let r=the number
CALCULATIONS
The numerical expression “two times three plus a number r=27” can be denoted as:
(2×3)+r=27
6+r=27
6–6+r=27–6
0+r=27–6
r=21
PROOF
If r=21, then the equations
(2×3)+r=27
6+21=27 and
27=27 prove the root (zero) r=21 of the statement (2×3)+r=27
PREMISES
Two times three plus a number, say, r=27
ASSUMPTIONS
Let r=the number
CALCULATIONS
The numerical expression “two times three plus a number r=27” can be denoted as:
(2×3)+r=27
6+r=27
6–6+r=27–6
0+r=27–6
r=21
PROOF
If r=21, then the equations
(2×3)+r=27
6+21=27 and
27=27 prove the root (zero) r=21 of the statement (2×3)+r=27
Answer:
5 and 6
Step-by-step explanation:
let the 2 numbers be x and y , then
3x + 2y = 28 → (1)
2x + 3y = 27 → (2)
multiplying (1) by 2 and (2) by - 3 and adding will eliminate x
6x + 4y = 56 → (3)
- 6x - 9y = - 81 → (4)
add (3) and (4) term by term to eliminate x
0 - 5y = - 25
- 5y = - 25 ( divide both sides by - 5 )
y = 5
substitute y = 5 into either of the 2 equations and solve for x
substituting into (1)
3x + 2(5) = 28
3x + 10 = 28 ( subtract 10 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
The 2 numbers are 6 and 5
The sum of two numbers is 5/9.if one of the numbers is 1/3 find the other
Answer:
2/9
Step-by-step explanation:
The sum of two numbers is 5/9 can be expressed as:
[tex]\displaystyle \large{x+y=\dfrac{5}{9}}[/tex]
One of the numbers is 1/3. Find the other - this means that either x or y is 1/3 but that doesn’t matter as we can either let x = 1/3 or y = 1/3 via property:
[tex]\displaystyle \large{x+y = y+x}[/tex]
Hence, let x = 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}+y=\dfrac{5}{9}}[/tex]
Solve for y - subtract both sides by 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}-\dfrac{1}{3}+y=\dfrac{5}{9}-\dfrac{1}{3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1}{3}}[/tex]
We know that we can only evaluate the fractions if both have same denominator so what we have to do is to multiply 1/3 by 3 for both top and bottom:
[tex]\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1\cdot 3}{3\cdot 3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{3}{9}}\\\displaystyle \large{y=\dfrac{2}{9}}[/tex]
Therefore, the other number is 2/9
Answer:
The other number is 2/9
Step-by-step explanation:
"a" is the other number
The equation:
[tex]a+\frac{1}{3} =\frac{5}{9}[/tex]
Then
[tex]a=\frac{5}{9} -\frac{1}{3} =\frac{15-9}{27} =\frac{6}{27}[/tex]
simplifying the fraction:
[tex]a = \frac{2}{9}[/tex]
Hope this helps
Which is the warmest temperature? EXPLAIN HOW YOU DETERMINED THIS USING THE NUMBER LINE
Answer:
When we think of the number line -5 is the coldest temperature on the number line. -5 -4 -3 -2 -1 0 1 2 3 -5 °C is the coldest temperature and 2 °C is the hottest temperature.
Jennie was collecting bugs for a school science project. She measured
each one in inches and wrote their lengths below.
1 1 8 3 14
12 3 2 36
18 30
5
Which list shows the lengths in order from least to greatest?
5
A.
1
3
3
18
8
36
14
30
2.
B.
3
18
8
36
1
3
듬
12
30
2
C,
14
30
3
18
8
36
1
3
2
12
D.
8
36
14
30
2
18
12
Please help! W/ work pls due at 8 am! It’s 6:14
Answer:
c. b. a.
Step-by-step explanation:
yan po sagot sana po makatulong ito lang po alam ko ehh
The 8 students in the Environmental Club represent 5% of the students in the seventh grade. How many students are in the seventh grade? Multiply/scale up to solve.
There are 160 students in seventh grade. Divide the partial amount by the percentage of the partial amount to get the total amount.
How to find total Number ?A percentage is a number or ratio that is expressed as a fraction of one hundred. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.
A total is the result of adding several numbers together or counting how many items there are in a group. The total number or cost of something is the total number or cost obtained by adding or counting all of its parts.
Percentages can also be expressed as decimals or fractions, such as 0.6%, 0.25%, and so on. Academic marks are calculated in terms of percentages for any subject.
To Find the Total Amount :
In decimal form, identify the partial amount and the percentage of the partial amount.Percentage of partial amount in decimal form: 0.80 since 0.80 is the decimal form of 80%.Calculate the total amount by dividing the partial amount by the percentage of the partial amount.No. of student in seventh grade = 8/5 * 100 = 160
So, there are 160 students in seventh grade.
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Brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. She has a yellow top, a pink top, and a green top. She wants to wear a skirt and a top. What are all the possible outcomes? How many possible outcomes are in the sample space?
7 possible outcomes: BB, VV, WW, RR, YY, PP, GG
12 possible outcomes: BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
7 possible outcomes: B, V, W, R, Y, P, G
12 possible outcomes: BY, BP, BG, BV, BW, BR, VY, VP, VG, VB, VW, VR
Answer:
B
Step-by-step explanation:
12:
BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
A box of 12 eggs( a dozen)is divided between four people, what fraction of the 12 eggs will rach get
Answer:
3 eggs constitutes 1/4 of the original 12 eggs
Step-by-step explanation:
Divide "12 eggs" by "4 people," obtaining 3 eggs/person.
3 eggs constitutes 1/4 of the original 12 eggs.
What is an angle that is supplementary to
I’m so close to being done with this so please help
Answer:
<GBF
Step-by-step explanation:
Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.
Hope this helps!
In a class of 24 pupils, if 10 are females. Calculate the ratio of males : total
Answer:
14 : 24
Step-by-step explanation:
If 10 of the 24 pupils are female, then that means the other 14 is male. Therefore, the ratio of males : total would be 14 : 24.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
14:24
Step-by-step explanation:
24 pupils = total
24 total - 10 females = 14 males
The ratio is
males : total
14 males : 24 people total
the simplified ratio is
7 males : 12 people
Find the volume of a cone with a diameter of 6 and a height of 16
Answer:
150.79645
Step-by-step explanation:
Fist of all half of your diameter is your raduis which is how you get three
V=πr2h3=π·32·163≈150.79645
Answer:
150.8
Step-by-step explanation:
v= (πr^2h)/3
r=6/2=3
3^2xπx16=ans
ans/3=150.8
The perimeter of a rectangle is $98,$ and the length of one of its diagonals is $41.$ Find the area of the rectangle.
Answer:
[tex]328units^2[/tex]
Step-by-step explanation:
First off, I do want to say that you could word this more easily.
98 is the perimeter. length is 41. width is 8.
the area is length*width for rectangles.
98-41=57
57-41=16
16/2=8
8*41=328 units^2
I’m terrible at math
Answer:
lol same but that's okay we can all for sure get better at it :)
Step-by-step explanation:
Find the surface area of the can of milk at the right. [tex] \bold{Use \: π = 3.14}[/tex][tex] \red{*}[/tex]
The milk can is in the shape of a cylinder.
The surface area of cylinder is defined as the sum of curved surface and the two circular bases of the cylinder;
ㅤㅤㅤ➙ (curved surface ) + 2(base area )
ㅤㅤㅤ➙ 2πrh + 2πr²
ㅤㅤㅤ➙ 2πr( h + r )
Here, in this question we have;
radius ( r ) = 2/2 = 1 cm height ( h ) = 6 cmTherefore, Surface Area ( S.A ) :
➝ S.A = 2πr( r + h )
➝ S.A = 2 × π × 1 ( 1 + 6 )
➝ S.A = 2π ( 7 )
➝ S.A = 2 × 3.14 × 7
➝ S.A = 14 × 3.14
➝ S.A = 43.96cm²
Answer:
Surface area of cylindrical milk can is 43.96cm²
Step-by-step explanation:
Given :-
height of can of milk :- 6cm diameter :- 2 cm , radius :- 1cmTo find:-
Surface area of milk canSolution:-
formula for surface area cylindrical milk can :-
2πr(h+r)
putting the known values ,
2 × 3.14 × 1 (6+1) cm²
Surface area :- 43.96 cm²
What is the length of the parks boundary to the nearest yard
hmmm taking a peek at the triangles inside the park, hmmm let's notice both triangles have all interior angles of 60°, meaning the triangles are equilateral both, so all sides are equal, since we know one side is 50 yards, well, all sides are 50 yards, so the top and bottom straight-lines are both 50 each.
looking at the left and right sides, hmmm those are just sectors of a circle, both have a radius of 50 yards and a central angle of 120°.
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=50\\ \theta =120 \end{cases}\qquad \implies s=\cfrac{(120)\pi (50)}{180}\implies s=\cfrac{100\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{straight~lines}{2(50)}~~ + ~~\stackrel{circular~lines}{2\left( \cfrac{100\pi }{3} \right)}\implies 100+2\left( \cfrac{100(3.14) }{3} \right)~~\approx~~309~yards[/tex]
Your business requests a 3-month loan for
$450,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.2% and LIBOR is at 2.8%?
interest paid = $ [?]
Round to the nearest hundredth.
The total interest paid for the period of three months will be $5225 on the loan amount of $450000.
What is interest?
The interest is the charges levied on the amount which we borrow from any bank for a particular period of time.
Here in the question given data is
P= $450000
R=2.2%+2.8%=5%
T=1/4 years or three months
So from the simple interest formula
[tex]\rm SI=\dfrac{P\times R\times T}{100}[/tex]
[tex]\rm SI=\dfrac{450000\times 5\times 1}{100\times 4}[/tex]
[tex]\rm SI= \$5625[/tex]
Hence the total interest paid for the period of three months will be $5225 on the loan amount of $450000.
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Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary of $1,375.00, what will your new monthly salary be? round all dollar values to the nearest cent. a. $2,365.00 b. $1,604.17 c. $1,462.77 d. $1,457.50 please select the best answer from the choices provided a b c d
The new monthly salary will be $1,457.50.
You received a monthly salary of $1,375.00
Now by economy expansion, causing wages to increase by = 6%
Increment of the salary = 6% of 1,375.00
[tex]= \frac{6}{100} \times 1,375[/tex]
[tex]= 0.06 \times 1,375 =\$82.50[/tex]
What is the monthly salary?Monthly Salary means Employee's monthly salary, before deductions.
Therefore our new monthly salary would be
[tex]= $1,375.00 + $82.50\\ = $1,457.50[/tex]
Therefore our new monthly salary will be $1457.50.
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What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)
Answer:
(4, -18)
Step-by-step explanation:
First Use this formula for the x -axis -b/2a
-8/2(1) is -4
Then plug in -4 to the equation
(-4)^2+8(-4)-2 = -18
35 is 25% of_. Do not round your answer.
Answer:
140
Step-by-step explanation:
We already have our first value 35 and the second value 25. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
35 = 25% × Y
35 = 25/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 35 × 100/25
Y = (35 × 100)/25
Y = 140
Finally, we have found the value of Y which is 140 and that is our answer.
Hope this is a better break down than before!
Answer:
140
Step-by-step explanation:
You can think of this as 35 = 25% of x.
25% = 0.25, so 35 = 0.25x.
You can multiply by 4 on each side to get
140 = 4(0.25)x which simplifies to
140 = x
A circle has a diameter of
16". (4 pts.)
What is the approximate
Circumference?
What is the approximate area?
Show ur work 40 points!!
Answer:
Circumference = 50.24 units
Area = 200.96 units²
Determining the area of the circle:
The formula of finding the area of the circle is π(r)² or π(d/2)².
(Where "r" represents the radius and "d" represents the diameter)
In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.
⇒ π(D/2)² = Area of circle
⇒ π(16/2)² = Area of circle
⇒ π(8)² = Area of circle
⇒ π × 64 = Area of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ Area of circle ≈ 3.14 × 64
⇒ Area of circle ≈ 200.96 units²
Determining the circumference of the circle:
The formula of finding the circumference of a circle is 2πr or πd.
(Where "r" is radius and "d" is diameter)
In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.
⇒ πd = Circumference of circle
⇒ π(16) = Circumference of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ (3.14)(16) ≈ Circumference of circle
⇒ 50.24 units ≈ Circumference of circle
Marcel made an error when he used the distributive property to write an equivalent expression. which sentence describes the error? 32x−16====(8x⋅4)−(8⋅2)8x(4−2)8x(2)16x clear check both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses. 8x(2) does not equal 16x. 32x does not equal 8x⋅4. 32x and 16 have no factors in common
Answer:
I think he made a mistake in the first one
Step-by-step explanation:
Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b) in the form of (ac+bc).
The expression is:
= 32x - 16
= 8x(4) - 2(8)
= 8(4x - 2)
The error is "both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses"
Thus, Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.
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Please help mee l don’t understand new topic please
Answer to first four-
first one- 2f+2f=60
4f=60
f=15
second one-18+2d=38
2d=20
d=10
(short side is 9)
third one-2a+a+5+a+5=26
4a+10=26
a=4
long side is 9
short side is 8
fourth one-3xy+3xy+xy=63
7xy=63
xy=9
long side is 27
Please help me solve this question !!!!!
Answer:
b and d and e
Step-by-step explanation:
7/doubles(2)/4weeks so you have to multiply the • means multiplication a another way to show multiplication.b-7×8(2×4)=56.d-7×2×2×2×2(2×4)=56.e-7×2×4(2×4=8)=56.
Write equations for the horizontal and vertical lines passing through the point (3,9)
Horizontal line:
Vertical line:
Answer:
Horizontal: y = 9
Vertical: x = 3
Step-by-step explanation:
Any point is given in the form (x,y). The first number is the x and the second number is the y.
Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--
y = 0x + b
y = b (a number, use the y-number from the point)
A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form
"x = anumber" Use the x from the point.
Horizontal line through (3,9) is y=9.
Vertical line through (3,9) is x=3
Write the equation in point-slope form. (4,-2) ; m=1/2
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]
(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope
Point-slope:
[tex]y-y_1 = m(x-x_1)[/tex]
Now you have to replace the variables with numbers
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Thus your equation would be:
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Hope this helped!
Find the missing angle. Your answer will be a number only.
Answer:
Pretty sure its 60
Step-by-step explanation:
Basic geometry
HELP PLEASE!!!
What is the slope of the line that is perpendicular to the line -12x = 35 - 5y?
Answer:
y = 12/5 = x + 7
hope this helped
lol
We have 2 1/3 cup of peanut butter. We are making peanut butter sandwiches. If we put 1/16 cup of peanut butter on each sandwich, how many complete/whole peanut butter sandwiches can we make?
The fraction computed shows that the number of peanut butter sandwiches that can be made will be 14.
How to compute the fraction?From the information given, it was stated that there are 2 1/3 cup of peanut butter and that they put 1/16 cup of peanut butter on each sandwich.
Therefore, the number of peanut butter sandwiches that can be made will be:
= 2 1/3 ÷ 1/6
= 7/3 × 6/1
= 14
In conclusion, the correct option is 14.
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Jared check the school soda vending machine sells each hour between 8 AM and 3 PM. The 11 AM account each day averaged about 20 sodas. Jared then predicted about 20 sodas will be sold each hour of the day. What is wrong with this prediction?
FREE BRAINLIEST Write the equation for the parabola that has x− intercepts (−3,0) and (4,0) and y− intercept (0,12).
Answer:
f(x) = -x^2 + x + 12.
Step-by-step explanation:
f(x) = a(x - 4)(x + 3) as the x-intercepts are -3 and 4.
a is some costant.
At the y intercept x = 0 so we have:
y = 12 = a(0-4)(0+3)
12 = -12a
a = -1
So our eaution is f(x) = -(x - 4)(x + 3)
= -(X^2 - x - 12)
= -x^2 + x + 12
