Answer:
6 = 6/10
Step-by-step explanation:
.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.
Answer:
[tex]\dfrac{60}{100}[/tex]
Step-by-step explanation:
Six tenths:
[tex]\dfrac{6}{10}[/tex]
where 6 is the numerator and 10 is the denominator
We want the denominator to be 100, so how do we convert 10 into 100?
We multiply by 10, since 10 x 10 = 100
When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator. Therefore, we should multiply both by 10:
[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]
Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:
[tex]\dfrac{60}{100}[/tex]
(sixty hundredths)
The circumference of the inner circle is 22 ft. The distance between the inner circle and the outer circle is 2 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner circle? Use 22/7 for pi .
Answer: 25.1
Step-by-step explanation:
1. Find the radius of the inner circle
(the formula for the circumference of a circle is ) C =2pi r
To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:
22 = 2(22/7)r
then solve for r
r = 3.5
2. add 4 to the radius of the inner circle
3.5 + 4 = 7.5
3. find the circumference of the outer circle using 7.5 as the radius
22 = 2 (22/7) 7.5
C = 47.1
4. Subtract the circumference of the inner circle from the circumference of the outer circle
47.1 - 22 = 25.1
Which of the following would describe Slope?
A Rise/Run
B The rate of change
C The steepness of a line
D All of the above
Answer:
Rise/Run (A)
Step-by-step explanation:
The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. On the graph that would be a change in the y values. Run means how far left or right you move from point to point.
How many quarts are in 9 gallons?
Answer:
1 gallon = 4 quarts
4 × 9 = 36
36 quarts are in 9 gallons
find the equation (in terms of x) of the line through the points (-4,2) and (3,-5)
Y=
==================================================
Explanation:
First we need the slope
[tex](x_1,y_1) = (-4,2) \text{ and } (x_2,y_2) = (3,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 2}{3 - (-4)}\\\\m = \frac{-5 - 2}{3 + 4}\\\\m = \frac{-7}{7}\\\\m = -1\\\\[/tex]
Then we can find the y intercept using the coordinates of (x,y) = (-4,2)
y = mx+b
2 = -1(-4)+b
2 = 4+b
2-4 = b
-2 = b
b = -2
Alternatively, you can use the other point (x,y) = (3,-5) and m = -1.
Because m = -1 and b = -2, we go from y = mx+b to y = -1x+(-2) which simplifies to y = -x-2
draw a model of 1/2 ÷ 4 pls don't say I cant draw it or something I DONT GET IT THEN BUT IF YOU CANT DRAW IT PLS EXPLAIN GOOD! URGENT!!!
Answer:
try using a pie chart and split the division up in the pie, look to internet for images for an example
Step-by-step explanation:
Answer:
The answer is 3.1
Step-by-step explanation: 1/2 ÷ 4 would go like 4-1/2=2.8 then do it again 2.5-1/2=1.3 then do it once more 1.3 ÷ 1/2= 0.1 so the overall answer is 3.1. Your welcome!
Triangle ABC is isoceles and has a perimeter of 20cm.Sides AB and AC are each twice as long as BC. Calculate the length of the side BC
Answer:
length of the side BC=4
Step-by-step explanation:
length of the side BC = x
length of the side AB = 2x
length of the side AC = 2x
x + 2x + 2x = 20
5x=20
x=4
BC = 4
AB=8
AC=8
8+8+4=20
A triangular window has an area 240 square feet and height 16 feet. What is its base?
Answer:
30 feet
Step-by-step explanation:
Area of a triangle = bh/2
A = bh/2
240 = b(16)/2
480 = (16)b
30 = b
Base = 30 feet
I hope this helps!
Answer:
30 ft
Step-by-step explanation:
Formula to find the area of a triangle is :
Area = [tex]\frac{1}{2}[/tex] × base × height
Given that,
Area of the triangle = 240 ft²
Height = 16 ft
Base = ??
Let us find now.
Area = [tex]\frac{1}{2}[/tex] × base × height
240 = = [tex]\frac{1}{2}[/tex] × b × 16
240 × 2 = 16b
480 = 16b
Divide both sides by 16.
30 ft ⇒ base
E D 1389 xo С 76.2° B А Find the value of x. O 38.1 O 30.9 69 O 61.8
Based on the intersecting secants theorem, the value of x is: B. 30.9°
What is the Intersecting Secants Theorem?The intersecting secants theorem states that when two secants intersect, the measure of the angle they form is half the difference of the intercepted arcs.
Thus, based on the intersecting secants theorem, we would have the following:
x = 1/2(138 - 76.2)
x = 1/2(61.8)
x = 30.9°
Learn more about intersecting secants theorem on:
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how many feet is the answer?
Answer:
1023 feet
Step-by-step explanation:
please help me I will mark BRAINLIEST
Answer:
See attached diagram
a) Points shown in blue
b) correlation is negative since the y-values decrease as the x-values increase.
c) Line of best fit needs to have the same number of points above as below.
please help i'm asking to help the second time hope someone sees this I'll give 10 points and brainliest I promise
2. i) 1/2 × x
x/2
ii) 1/5 × x
x/5
iii)1-(1/2+1/5)
1- (5/10+2/10)
10/10- 7/10
3/10
3/10×x
3x/10
3. i)15× $p
15p
ii) cost for 4 bananas= $g
cost for 1 banana = $g÷4
cost for 16 bananas = $g/4 ×16
=$g×4
=4g
iii)
Cost for an orange= $p
Cost for 5 oranges = 5×$p
Cost for 1 banana= $g÷4
Cost for 2 bananas = 2× ($g÷4)
Add both of the expressions to get the total cost for 2 bananas and 5 oranges.
(2×$g÷4)+(5×$p)
($g×2/4)+(5×$p)
2/4 can be simplified as 1/2
g×1/2+5p
(g/2)+5p
Hope this helps!
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answer: 25
Step-by-step explanation:
Help help help help help hel
Answer:
12
Step-by-step explanation:
P = 8
Q = 16
The value of PQ = 16 - 8 = 8
Since M is the midpoint of PQ,
PM = MQ
PM + MQ = PQ
PM + PM = PQ
2 PM = 8
PM = 8 / 2
PM = 4
The value of M
= 8 + 4
= 12
Answer:
M = 12
Step-by-step explanation:
If you want to find the midpoint between the numbers 8 and 16, follow the simple steps below.
First, add the two numbers: 8 + 16 = 24
Secondly, divide the total by 2: 24/2 = 12
The midpoint between 8 and 16 is 12.
hope this helps!! p.s. i really need brainliest :)
A European swallow flies about 14 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly
km.
Vicki started jogging. The first time she ran, she ran mile. The second time, she ran mile, and the 516 58 15 16 third time, she ran 16 mile. If she continued this pattern, when was the first time she ran more than 1 mile? Complete the explanation Express the fraction as a mixed number in simplest form. mile(s) every new time she ran. Therefore, the ? time, Vicki had a pastem of adding she ran milles
Answer:
Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!
Step-by-step explanation:
I apologise if this isnt the answer..............
Need answer ASAP will give BRAINLEST
Please put a full answer thank you
This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.
A. 30%
B. 0.8%
C. 20%
D. 80%
Answer:
D. 80%
Step-by-step explanation:
15-3 = 12
12/15 = 4/5 = .8
80%
What is the area in polynomial form
Answer:
[tex] \orange{ \boxed{ \sf{ ( \: {x}^{2} + 11x + 18 \: ) \: sq. \: units}}}[/tex]
Solution :
Area = lenght x widthLenght = x + 9
Width = x + 2
[tex] \sf \green{area \: = \: (x + 9)(x + 2)} \\ \sf \green{ = \: { {x}^{2} + 11x + 18}} [/tex]
Answer:
[tex]x^2+11x+18\: \sf(square\:units)[/tex]
Step-by-step explanation:
To use the area model of solving multiplication and division problems, calculate the area of each of the colored rectangles and add them together.
Area of a rectangle = Length × Width
Area of blue rectangle: [tex]x \times x = x^2[/tex]
Area of pink rectangle: [tex]x \times 9 = 9x[/tex]
Area of green rectangle: [tex]2 \times x=2x[/tex]
Area of orange rectangle: [tex]2 \times 9=18[/tex]
Area of entire rectangle = blue + pink + green + orange
= [tex]x^2+9x+2x+18[/tex]
= [tex]x^2+11x+18\: \sf(square\:units)[/tex]
A sailboat leaves St. Thomas bound for an island in the British West Indies, 200 miles away. Maintaining a constant speed of 18 miles per hour, but encountering heavy crosswinds and strong currents, the crew finds after 4 hours that the sailboat is off course by 15°.
(a) How far is the sailboat from the island at this time?
(b) Through what angle should the sailboat turn to correct its course?
(c) How much time has been added to the trip because of this? (Assume that the speed remains at 18 miles per hour.)
The distance of the sailboat from the island at this time will be 131.78 miles.
How to calculate the distance?The distance of the sailboat from the island will be calculated by using the law of cosines. This will be:
a² = (18 × 4) + 200² - (2 × 72 × 200 cos 15°)
a² = 72 + 200² - (144 × 200 cos 15°)
a = 131.78 miles.
The angle that should be used by the sailboat to correct its course will be:
= 180° - (sin 15°/131.78)
= 180° - 22.95°
= 157.05°
Learn more about distance on:
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1. If Frank has 2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin does he have?
d=
q=
2. If Sam has 3 times as many dimes as quarters and they have a combined value of 330 cents, how many of each coin does he have?
d=
q=
Solve the equation for y.
2x + 5y = 5
y=25x+1
y=−10x+25
y=−25x+1
y=25x+5
Answer: C
Step-by-step explanation:
[tex]2x+5y=5[/tex]
[tex]\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}[/tex]
[tex]2x+5y-2x=5-2x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=5-2x[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{5}{5}-\frac{2x}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\bf{y=-\frac{2}{5}x + 1}[/tex]
The debate team has 2 members. Each member sold c coupon books as a fundraiser. Write
an expression that shows the number of coupon books the club sold.
Suppose that y varies inversely with x. Write a function that models the inverse function.
x = 6 when y = 8
[tex] \qquad \qquad \huge\text{Anѕwer}♨[/tex]
Let's Solve ~❖ Aѕ givєn in thє quєѕtiσn, ч vαriєѕ invєrѕєlч with х, thiѕ єхprєѕѕiσn cαn вє rєprєѕєntєd αѕ :
[tex] \qquad \Rrightarrow \rm y \propto \dfrac{1}{x} [/tex]
➻ To rєplαcє prσpσrtiσnαlitч ѕign with єquαlѕ tσ, wє hαvє tσ uѕє α cσnѕtαnt (k)
[tex] \qquad \Rrightarrow \rm y = k \times\dfrac{1}{x} [/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = k[/tex]
➻ nσw, plug in vhє vαluєѕ σf х αnd ч fσr α ѕpєcific inѕtαnt, thαt'ѕ givєn in thє quєѕtiσn ~
х = 6, whєn ч = 8[tex] \qquad \Rrightarrow \rm \dfrac{}{} 6 \times 8 = k[/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} k = 48[/tex]
thєrєfσrє, vαluє σf prσpσrtiσnαlч cσnѕtαnt iѕ 48
➼ ѕσ, thє rєquirєd єхprєѕѕiσn will вє :
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = 48[/tex]
3x²+5xy=–4
xy–2x=—3
[tex]solve simultinously[/tex]
[tex]xy - 2x = - 3[/tex]
[tex]xy = 2x - 3[/tex]
____________________________________________
[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]
[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]
[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]
[tex]3 {x}^{2} + 10x - 11 = 0[/tex]
[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]
[tex]delta = 100 + 132[/tex]
[tex]delta = 232[/tex]
Thus;
[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]
[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]
[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]
[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]
____________________________________________
If x = 0.8716 then :[tex]0.8716 \: y = 2(0.8716) - 3[/tex]
[tex]0.8716 \: y = 1.7432 - 3[/tex]
[tex]0.8716 y= - 1.2568[/tex]
[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]
[tex]y = - 1.4419[/tex]
And if x = - 4.205 then :[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]
[tex] - 4.205 \: y = - 8.410 - 3[/tex]
[tex] - 4.205 \: y = - 11.410[/tex]
[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]
[tex]y = 2.7134[/tex]
And we're done
Have a great day ♡
Please Help.........
What is the equation of the given line in the point-slope form?
A.
= - + 1
B.
+ = 1
C.
+ + 1 = 0
D.
4 = 3 + 1
E.
– 4 = 1( – 3)
[tex]============================[/tex]
First, let's use the Slope Formula to find the slope:
[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]
[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]
Which simplifies to
[tex]\pmb{1}[/tex]
So the slope is 1.
Now, here's a point that the line passes through:
(0, 1)
Write the equation in point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
y-1=1(x-0)
================================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Find the volume of the prism.
Answer:
240 cm³
Step-by-step explanation:
Volume of prism= base area ×height
The base is a rectangle here, and its area has the formula of length ×breadth.
Given
length of base= 10 cm
breadth of base= 6 cm
height of prism= 4 cm
Base area
= 10(6)
= 60 cm²
Volume of prism
= 60(4)
= 240 cm³
Answer:
240 cm³
Step-by-step explanation:
Volume of a rectangular prism: l*w*h
L (length) : 10 cmW (width): 6 cmH (height): 4 cmV = l*w*h <== substitute the numbers (above) for the variables
V = 10*6*4
V = 60*4
V = 240 cm³ (cubed)
Hope this helps!
Eric bought 8 pounds of flour for $5. How many pounds of flour did he get per dollar? If necessary, round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
8 pounds of flour = 5 dollars
1 pound of flour = x
Cross multiply
8x = 1*5 Divide by 8
8x/8 = 5/8
5/8 = 0.625
Therefore x = 0.625 dollars will buy 1 pound of flour.
Rounded x = 0.63
Find the value of the expression.
Answer:
0
Step-by-step explanation:
((3/5 ^0)^-2)
3/5^0=0
0^-2= 0
Question
Which expression is equivalent to 5x2 – 18x + 9?
O (5x - 1)(x – 9)
O (5x – 9)(x + 1)
O (5x – 3)(x - 3)
O (5x + 3)(x - 3)
Answer:
(5x – 3)(x - 3)
Step-by-step explanation:
Break the expression into groups
[tex]=\left(5x^2-3x\right)+\left(-15x+9\right)[/tex]
Factor out
[tex]=x\left(5x-3\right)-3\left(5x-3\right)[/tex]
Factor out common terms
[tex]=\left(5x-3\right)\left(x-3\right)[/tex]
Hence, Answer is (5x-3)(x-3)
~Lenvy~
The expression which is equivalent to 5x² - 18x + 9 is (5x – 3)(x - 3).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
5x² - 18x + 9
We have to find the equivalent expression of this.
We have to factor this.
Using quadratic formula,
x = -(-18) ± √[(-18)² - (4 × 5 × 9)] / (2 × 5)
= (18 ± √144) / 10
= (18 ± 12) / 10
x = 3 and x = 3/5
So the expression can be factored as
(x - 3)(x - 3/5) = 0
(x - 3)(5x - 3) = 0
Hence the correct option is (5x – 3)(x - 3).
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Dylan purchased a new car in 1993 for $26,300. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $2,700 in the year 2001, then what would be the predicted value of the car in the year 2006, to the nearest dollar?
The predicted value of the car in the year 2006 to the nearest dollar would be $651.
What is the predicted value of the car?The first step is to determine the rate of depreciation
g = (FV/PV)^(1/n) - 1
Where:
FV = value of the car in 2001
PV = value of the car in 1993
n = number ofyears = 8
(2700/26,300)^(1/8) - 1 = -24.76%
Now determine the value of the car in 2006
2700x ( 1 - 0.2476)^5 = $651
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