Answer:
-2 3/8
Step-by-step explanation:
1/4 +-21/8
Get a common denominator
1/4 * 2/2 + -21/8
2/8 - 21/8
-19/8
-16/8 - 3/8
-2 -3/8
-2 3/8
━━━━━━━☆☆━━━━━━━
▹ Answer
-19/8 → -2 3/8 → -2.375
▹ Step-by-Step Explanation
1/4 + -21/8
1/4 - 21/8
2 - 21/8
-19/8
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the concert was $203.5, how many of each went to the concert?
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Please help me with this. When dividing fractions, the ________ term becomes the reciprocal. A. Second B. First C. Neither D. Both
Answer:
The second term becomes the reciprocal and then you multiply the first term by the second term
Answer:
A. second
Step-by-step explanation:
When dividing fractions, we always take the second term and flip that. In other words, we convert the second term into its reciprocal. Remember the phrase "flip the guy, and multiply!" Essentially, the "guy" just refers to the second term.
For example, if we have 1/3 ÷ 2/5, in order to solve this, we flip the second term, which is 2/5 so that it becomes 5/2 and then multiply:
1/3 ÷ 2/5 = 1/3 × 5/2 = 5/6
The answer is thus A.
~ an aesthetics lover
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...............................................................please?
Answer:
Hey!
Your answer should be
Step-by-step explanation:
To find the BASE: 8 x 4 = 32cm^2
To find the angled TOP FACE: 10 x 4 = 40 cm^2
To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2
To find the REAR FACE: 6 x 4 = 24 cm^2
TOTAL: 32 + 40 + 48 + 24
SUFACE AREA: 144cm^2
Hope this helps!
Answer:
192 cm ^3
Step-by-step explanation:
find area of cross section x depth
6 times 8 is 48
depth is 4
48 x 4 is 192
The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups. If the winner is in Baseball League, find the probability that the winning team is in either the Ages 10 - 12 division or the Ages 13 - 15 division. Answer in terms of a reduced fraction. A= p(y|b)= A0 B= p(z|b)= A1 C= p(y or z |b)= A2
Answer:
0.5 or 50%
Step-by-step explanation:
Total number of championships won = 3+2+1+7+2+1=16Total Number of winners in baseball league, n(B)= 3+2+1=6Number of Wins in the Ages 10 - 12 division, n(Y) =2Number of Wins in the Ages 13-15 division, n(Z) =1The probability that the winning team is in the Ages 10 - 12 division given that it is in the baseball league:
[tex]P(Y|B)=\dfrac{P(Y \cap B)}{P(B)} \\=\dfrac{2/16}{6/16}\\=\dfrac{2}{6}[/tex]
The probability that the winning team is in the Ages 13 - 15 division given that it is in the baseball league:
[tex]P(Z|B)=\dfrac{P(Z \cap B)}{P(B)} \\=\dfrac{1/16}{6/16}\\=\dfrac{1}{6}[/tex]
Therefore:
[tex]P(Y$ or $Z|B)=\dfrac{2}{6}+\dfrac{1}{6}\\=\dfrac{3}{6}\\\\=0.5[/tex]
A standard fair dice is rolled twice. What is the probability of getting an odd number on the first roll and any number except 4 on the other?
Answer:
Let,O and P be the events of getting odd number and any other number except 4 respectively.
n(S)=6
O=(1,3,5) so, n(O)=3
P=(1,2,3,5,6) so, n(P)=5
So,probability of getting an odd number and any other number except 4 will be
n(O)/n(S) × n(P)/n(S)
=3/6 × 5/6
=5/12
May be it's the answer I guess. Hope you're clear with it:-)
The tax rate as a percent, r, charge on an item can be determined using the formula c/p - 1 = r, where c is the disk cost of the time and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the final item C = p(1+r). What is the final cost of a $40 item after an 8% tax is applied?
Answer:
The final cost is $43.2
Step-by-step explanation:
We have the following equation:
[tex]C=p(1+r)[/tex]
Where C is the final cost, p is the price before tax and r is the tax rate.
So, to calculated the final cost for a $40 item after 8% tax, we need to replace p by 40 and r by 0.08 and calculate the value of C as:
[tex]C=40*(1+0.08)=43.2[/tex]
Therefore, the final cost is $43.2
Answer: $43.20
Step-by-step explanation: The simplest way to do it (my way) is i first used (1 + r), which is (1 + 8%), that gave me 1.08, then I did the total amount, $40x1.08, which equals $43.20. This may not be the right way to do it, but it is the simplest.
Hope this helped :)
A cyclist travels at an average speed of 11mph for 3 hours. how far did she travel in miles
Answer:
She traveled 33 miles.
Step-by-step explanation:
11*3 = 33
Answer:
33
Step-by-step explanation:
11mph times 3 hours= 33 miles
cos^4a=1/8(3+4cos2a+cos4a)
Answer:
Below.
Step-by-step explanation:
cos2a = 2 cos^2 a - 1
cos^4a = 8cos^4 a - 8cos^2 a + 1
Right side of the identity =
1 /8(3 + 4cos2a + cos4a)
= 1/8( 3 + 4(2 cos^2 a - 1) + 8cos^4 a - 8cos^2 a+1)
= 1/8 (3 + 8 cos^2 a - 4 + 8 cos^4 a - 8cos^2 a + 1)
= 1/8 (8cos^4 a)
= cos^4 a = the left side.
I realised that I should have derived the identity for cos 4a as well , which i have done in the picture.
The given identity, cos⁴a = 1/8(3 + 4cos2a + cos4a) is proved.
How is proving identities done?To prove a given identity, say f(a) = f(b), we proceed to simplify any of the expressions among the L.H.S. f(a) and the R.H.S. f(b), to get the other term. If we get the simplified form as the other term, our identity holds and is proved.
How do we solve the given question?We know cos2A = 2cos²A - 1.
Going by the same formula, we derive the value of cos4A.
cos4A = 2cos²2A - 1
or, cos4A = 2(2cos²A - 1)² - 1, putting value of cos2A
or, cos4A = 2(4cos⁴A - 4cos²A + 1) - 1, (expanding (2cos²A - 1)² using the formula of (a-b)² = a² -2ab + b²)
or, cos4A = 8cos⁴A - 8cos²A + 2 - 1, (expanding)
or, cos4A = 8cos⁴A - 8cos²A + 1, (simplifying)
∴ cos4A = 8cos⁴A - 8cos²A + 1.
Given identity to us is, cos⁴a = 1/8(3 + 4cos2a + cos4a).
To prove the identity, we proceed with the R.H.S.:
= 1/8(3 + 4cos2a + cos4a)
We put values of cos2A and cos4A in this expression, to get
= 1/8(3 + 4(2cos²a - 1) + (8cos⁴a - 8cos²a + 1))
Expanding the equation, we get
= 1/8(3 + 8cos²a - 4 + 8cos⁴a - 8cos²a + 1)
Simplifying, we get
= 1/8(8cos⁴a) = cos⁴a = L.H.S.
Hence, the given identity is proved.
Learn more about proving identities at
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Solve for x 5 x − 9 = 3 x + 3
5x-9 = 3x+3
2x-9 = 3
2x = 12
x= 6
plz mark branliest, hopoe this helps :)
Does -3(x-4)= -3x=12 have one solution, many solutions, or no solutions at all?
Answer:
If the expression is:
-3x + 12 = -3x + 12, infinite solutions
If the expression is:
-3x + 12 = -3x - 12, no solutions
Step-by-step explanation:
Step 1: Distribute
-3x + 12 = 3x = 12
If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.
If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.
HELP ASAP LINEAR EQUATIONS!!
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
Answer: C) [tex]y = \frac{4}{3} x-10[/tex]
Step-by-step explanation:
First change this equation into slope-intercept form(y = mx + b). y = -3/4x + 3.
For a line to be perpendicular to another line, it must have an opposite reciprocal slope. The opposite reciprocal of -3/4 is 4/3. Thus, the answer is NOT B. Then, attempt to plug in 6, -2 into each equation. The only one where it works is C.
Hope it helps <3
What are the coordinates of the vertex of the parabola described by the equation below? y=-2(x+7)^2+22
Answer:
(-7,22)
Step-by-step explanation:
x+7 moves the graph left 7 (-7)
+22 moves it up 22
the 2 at the beginning is a shrink and it doesn't matter when finding the vertex
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
Answer:
The answer is
5y - 12x = - 9Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x - 5y = 2
5y = 12x - 2
Divide both sides by 5
y = 12/5x - 1/5
Comparing with the above formula
Slope / m = 12/5
Since the lines are parallel their slope are also the same.
Slope the parallel line = 12/5
Equation of the line using point (2,3) is
[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]
Multiply through by 5
That's
5y - 15 = 12(x - 2)
5y - 15 = 12x - 24
We have the final answer as
5y - 12x = - 9Hope this helps you
PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!
Answer:
Factors: 5x, 3x²y⁵ Not Factor: 10x⁴y³
Step-by-step explanation:
5x is a factor because 15x²y⁶= 5x•3xy⁶
3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y
10x⁴y³ isn't a factor because 15:10=1.5 isn't integer
**BRAINLIEST 20 POINTS****
Given right triangle XYZ, what is the value of sin(Y)? (Hint: Special Right)
1/2
SqRt3/3
SqRt3/2
(2SqRt3)/3
Answer:
1/2
Step-by-step explanation:
Cos 60 = [tex]\frac{adjacent}{hypotenuse}[/tex]
1/2 = [tex]\frac{XZ}{4}[/tex]
Multiplying both sides by 4
=> XZ = 2
Sin Y = [tex]\frac{opposite}{hypotenuse}[/tex]
Sin Y = [tex]\frac{2}{4}[/tex]
Sin Y = 1/2
Solve (x − 2) = 3
Give your solutions correct to 3 significant figures.
Answer:
(x − 2) = 3
Remove the bracket
x - 2 = 3
Group the constants at one side of the equation
x = 2 + 3
x = 5
Therefore x = 5.00 to 3 significant figures.
Hope this helps
help !!
Evaluate 8 - 50g + 2h when g = 10 and h = 5
Answer:
The evaluated answer to this equation is -482
Step-by-step explanation:
h = 5
g = 10
Plug in your numbers for the equation.
8 - 50(10) + 2(5)
Multiply -50 by 10 and multiply 2 by 5.
8 - 500 + 10
Subtract 8 by -500.
-492 + 10
Add 10 to -492.
-482
A micrometer is capable of measuring the thickness of an object to units of one hundredth of a millimeter. Suppose an analog micrometer is used to measure the diameter of a ball bearing that is roughly 1.5 cm across. Select a reasonable value and error for the measurement of the bearing’s diameter. How did you choose the amount of error?
Answer:
Check Explanation
Step-by-step explanation:
The options for the question aren't available. But it is given that the micrometer screw gauge in question can measure up to a hundredth of a millimeter.
We now want to measure a ball with diameter that is roughly 1.5 cm.
1.5 cm = 15.00 mm
Since our micrometer screw gauge can measure up to a hundredth of a millimeter, the possible true diameter of the ball will range between 14.995 mm and 15.004 mm
The error in measurement can range from -0.004 mm to +0.005 mm.
The amount of error was picked based on the approximate measurements on the analogy micrometer screw gauge that the equipment will still classify as roughly 15 mm (1.5 cm)
Hope this Helps!!!
Answer:
1.715 cm ± 0.005 cm; The standard error was chosen as +(-) 1/2 the smallest unit that can be precisely measured on the device, or 0.01 cm.
Step-by-step explanation:
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0, -12)?
Answer:
add the y coordinates of the two lines and divide by 2
Step-by-step explanation:
½[0+(-12)]
½[0-12]
½[-12)
y co-ordinate of the midpoint is -6
Point A is located at (0, 4) and point C is located at (-3, 5). Find the x value for point B that is located the distance from point A to point C.
Answer: If point B is on the same line and the same distance from points A and C, the location is (-1.5, 4,5)
Step-by-step explanation: For point B to be the same distance from the other two points, it must be halfway between them.
for the x-value, find the number that is halfway between 0 and -3. That is -1.5
For the y-value, find the number that is halfway between 4 and 5. That is 4.5
The coordinate for point B is (-1.5, 4.5)
Find angle x, giving your answer to 1 decimal place.
38
x
11 cm
8 cm
The value of angle x is 57.1 degrees.
Here we have given an angle is 38degee and the sides of the triangle are 11cm and 8 cm.
What is the formula for sin ratio?[tex]sin(x)=\frac{opposite side }{hypotenuse}[/tex]
Therefore by using the formula for the attached figure we have
[tex]sin(38^0)=\frac{y}{11}\\\\y=11sin(38^0)\\\\y=6.71[/tex]
Similarly, for the second triangle for the value of x
we have,
[tex]sinx=y/8=6.71/8=0.84\\\\x=sin^-1(0.84)=57.1^0[/tex]
Therefore we get the value of angle x is 57.1 degrees.
To learn more about the triangle visit:
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What is 3/5 of £85? PLEASE HELPPP
Answer:
51
Step-by-step explanation:
85/5x3=51
Answer:
Hey!
3/5 of 85 = 51!
Step-by-step explanation:
3/5 = 0.6
So 0.6 x 85 = 51!
HOPE THIS HELPS!!
Choose the best estimate for the division problem below.
8.3 /0.7
A. 12
B. 10
c. 9
Answer:
12
Step-by-step explanation:
8.3 / .7
Multiply each by 10 to get rid of the decimal
83/7
We know that 84/7 =12 so this is close to 12
23. A 340 million square mile forest is how many hectares?
Answer:
88059595400 hectares
Step-by-step explanation:
Convert 340 million square miles into hectares.
1 square mile = 258.99881 hectares
340,000,000 square miles = 88059595400 hectares
The forest is 88059595400 hectares.
Answer:
[tex]8.80597(10^{10})[/tex] hectares
Step-by-step explanation:
This is unit conversion:
[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]
We then multiply, with our units miles canceling out and leaving us with hectares:
[tex]8.80597(10^{10})[/tex] hectares
or
88059700000 hectares
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Answer:
Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)
Lindsay worked for 12 hours last week
Step-by-step explanation:
Complete question below:
last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Let
y= cost of the dinner with friends
h=the number of hours Lindsay worked last week
y=1/15*(10h+60) (1)
y=1/10*(10h) (2)
Equate (1) and (2)
1/15*(10h+60)=1/10*(10h)..........equation used to find h
10h+60/15=10h/10
Cross product
(10h+60)10=15(10h)
100h+600=150h
600=150h-100h
600=50h
Divide both sides by 50
600/50=50h/50
12=h
Therefore, Lindsay worked for 12 hours last week
The diagram shows an irregular octagon. Work out the sum of the interior angles.
Answer:
1080°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides of the polygon
Therefore,
Sum of interior angles of an octagon =180°(8-2)
=1080°
A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:
Regular polygonIrregular polygonThe sum of the interior angles of the irregular octagon is 1080°
The formula to solve for the sum of the interior angles of an irregular polygon is given as:
(n - 2) x 180°
Where n = number of sides.
An octagon is a polygon that has 8 sides. Hence, n = 8
So: (8 - 2) x 180°
= 6 x 180°
= 1080°
Therefore, the sum of the interior angles of the irregular octagon is 1080°
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Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x - 21
Cf(x) = x2 - 4x - 21
Cf(x) = x2 - 10x + 21
f(x) = x2 - 10x - 21
Answer:
f(x) = x2 – 10x + 21
Step-by-step explanation:
I got it because you substract and add the last part
Please Help me ASAP Just answers please ;)
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Plz Help!!! I really do not get this lesson and I really need to pass it to move onto the next I am kind of getting it, I want to make sure my answer is correct. IS it sas?
Answer:
SSS
Step-by-step explanation:
I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)
Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to
Answer:
7/8 is greater than 2/4
Step-by-step explanation:
In this question basically, what we are trying to do is to compare fractions and state which is greater or less.
The first fractions in the question is;
7/8 _ 2/4
Now, one of the best ways to go around comparing fractions is looking at the denominators.
In this question, the denominators in the fractions are 8 and 4.
The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.
Thus, what we have would be;
7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32
Now for the fraction;
2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32
We can see they both have a common denominator and we can directly compare their numerators.
Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4
So what we have in the blank is ; is greater than
Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4
Answer:
is less than
Step-by-step explanation:
look at da graph and watch mario.