Answer:
52.24 km
Step-by-step explanation:
Given that,
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.
d = ks²
Where
k is constant
When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?
So,
[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]
So, the new distance is 52.24 km.
Which of the following is the solution set for -3t + 11 > 20?
t < 3
t > 3
t < -3
t > -3
Answer:
t < -3
Step-by-step explanation:
-3t + 11 > 20
subtract 11 from both sides
-3t > 9
Divide both sides by -3
when multipying or dividing by a negative the inequality must be reversed
t < -3
Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP
Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify
V = 270 cm³
Step 2: Solve for a
Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³[Equality Property] Cube root both sides: 6.4633 cm = aRewrite: a = 6.4633 cmRound: a ≈ 6.5 cmAnswer:
The length of it's side is 6.5 cm.
Step-by-step explanation:
Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.
To find the length of its side we apply the formula ; Volume of cube and then simplify .
Volume of cube = ( a )³
Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .plug the values
270 cm ³ = a³
Taking cube root of both side
[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]
6.4633 cm = a
Rewrite
a = 6.4633 cm
Round nearest to 1DP
a ≈ 6.5 cm
Hence , Length of it's side is 6.5 cm.
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
Answer[tex]x = 60[/tex]
Explanation
[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]
[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]
convert decimal to fraction: x= 54 / 9 / 10
[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]
[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]
[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]
[tex] \sf \: common \: factor : x = 6 \times 10[/tex]
[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]
[tex] \sf{ \boxed{answer : x = 60}}[/tex]
The solutions of x^2=16x-28 are
Answer:
the solutions of x^2=16x-28 are
2) 2 and 14
A small pebble is stuck in Jim's bike tire. The wheel has a radius of 34 cm. Determine the equation of the function that expresses the height of the pebble from the ground in terms of the distance that the bike travels from the point where the pebble got stuck in the tire. How high off the ground will the pebble be after the tire has rolled 150 cm?
Answer:
distance = 68 pie x
Step-by-step explanation:
Hope this helps
A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answer:
It is 44
Step-by-step explanation:
The perimeter of the paralllelogram given is: 44 units.
What is the Perimeter of a Parallelogram?Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.
Given the following:
AB = 4y - 2BC = 2x + 2DC = 2y + 6AD = 3x - 1Since opposite sides of a parallelogram are equal, therefore:
4y - 2 = 2y + 6
4y - 2y = 2 + 6
2y = 8
y = 4
2x + 2 = 3x - 1
2x - 3x = -2 - 1
-x = -3
x = 3
Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)
Plug in the values of x and y
Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)
Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)
Perimeter of the paralllelogram = 44 units.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: X= 25 degrees
Step-by-step explanation:
A triangle is 180 degrees.
115+40=165
180-165=25 degrees
complete the table of values for y=2x+3
Use the tax table to help answer the following question.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Luce is single and making $763 biweekly. She claims no federal withholding allowances. If the state tax is 19% of the federal tax, how much in state tax does Luce contribute? a.
$12.92
b.
$15.13
c.
$15.77
d.
$16.34
Answer: d. $16.34
Step-by-step explanation:
The table shows that if the wages are between 760 and 780 and there are no withholding allowances, the federal tax is $86.
Luce therefore has a federal tax of $86 as she falls in the bracket described.
If state tax is 19% of this, state tax is:
= 19% * 86
= $16.34
The amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen residing there .
A 9-column table with 7 rows is given in the prooblem.
Luce is single and making $763 biweekly. She claims no federal withholding allowances.
This amount is come between the values of $760 and $780. If we look into the table provided into the problem, the federal tax for this slab is $86.
Now the state tax is 19% of the federal tax. Thus, the 19 percent of the federal tax $86 is,
[tex]\rm tax=86\times\dfrac{19}{100}\\tax=16.34[/tex]
Thus the amount of state tax which is contributed by the Luce for the no federal withholding allowances is $16.34.
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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
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The box part of the box plot contains all the values between which numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
оооо
between 32 and 37
O between 27 and 32 and between 37 and 40
Answer:
Between 32 and 37
Step-by-step explanation:
Here, we simply want to get the data portion represented by the box alone
we can see that the box starts from 32
It ends at the number 37
Note;
between each individual number on the plot, we have 5 small lines indicating an extra point
find the quotient of this
Answer:
3.02 is the answer for this question if the answer is correct plz mark me as brainliest
Answer:
3.02
Step-by-step explanation:
51.34 ÷ 17 = 3.02
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answer:
2400
2640
360
Step-by-step explanation:
I am not sure the description is totally clear.
my assumptions are (based on my interpretations of the text) :
the retailer buys from the dealer with 15% discount.
but the retailer has to sell the jacket for the same price as the dealer.
so, both mark the sale price as 2400.
if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).
15% = 2400 × 15/100 = 24 × 15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.
now, the final price is to include also 10% VAT
100% = 2400
1% = 2400 / 100 = 24
10% = 24 × 10 = 240
so,
final price = SP + VAT = 2400 + 240 = 2640
simplify 5x-26y+7x+32y
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY
Answer:
D
Step-by-step explanation:
30-60-90
Hypotenuse = 26
one side is half.
the other side is 1/2[tex]\sqrt{3}[/tex]
-5+(-4)
Adding and subtracting intergers
Answer:
9
Step-by-step explanation:
Integer
Algebra 2 Problem! Rational Roots
Answer:
este no hablo inglés
En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?
Answer:
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Step-by-step explanation:
Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:
Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392
El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8
Por lo que:
x + 3*x - 8= 392
Resolviendo:
x + 3*x= 392 + 8
4*x= 400
x= 400÷4
x= 100
Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
Cos100x+4/3=0.............
answer:
[tex]{ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}[/tex]
please help :DDDDDDD
Answer:
B 5/6 * -11/-7
Step-by-step explanation:
-5 / -7 = 5/7
-11/-6 = 11/6
Multiply
5/7 * 11/6
Rewriting
5/6 * 11/7
We can make the 11 and the 7 negative (-11/ -7 = 11/7)
5/6 * -11/-7
James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned
Answer:
30 hectares
Step-by-step explanation:
Answer:
Step-by-step explanation:
Land area James inherited = 19.5 hectares
The area of the land he inherited is 65% of the total land his father owned.
Let
x = Total land his father owned
Land area James inherited = 65% of the total land his father owned
19.5 = 65% of x
19.5 = 65/100 * x
19.5 = 0.65 * x
19.5 = 0.65x
x = 19.5 / 0.65
x = 30
x = Total land his father owned = 30 hectares
1. What is the value of the digit 7 in the number 176 354?
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.
Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
Will give BRAINLIEST to the correct answer!!!
Find the values of sin 0, cos 0, and tan 0 for the given right triangle. Give the exact values.
Answer:
the length of adjacent =√25²-24²=√49=7
sin 0 = 24/25
cos 0 = 7/25
tan 0 = 24/7
Which 2 options are correct?
Answer:
A,C
Step-by-step explanation:
i took the test
help meeeeeeeee plssss
Answer:
5.16 m
Step-by-step explanation:
[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]
what is the domain of the function represented by the graph
Answer:
Domain: all real numbers
Step-by-step explanation:
The domain is the values that x can take
X can be any real number
Domain: all real numbers
