Answer:
31° change
Step-by-step explanation:
If we want to find the change between two numbers, we need to imagine it like a number line.
<-------------0------------->
Let's plot -7 and 24 on this number line.
<----------[tex]-7[/tex]--0------------24>
If we want to get from -7 to 0, we increase by 7. To get from 0 to 24, we increase by 24.
So the total change is [tex]7 + 24 = 31[/tex].
Hope this helped!
New York City is a popular feild trip destination. This year the senior
class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled
8 vans and 4 buses with 220 students. High School B rented and filled 12 vans and 4 buses with 228 students. Every van had the same
number of students in it as did the buses. How many students can a
van carry? How many students can a bus carry?
Step-by-step explanation: look so if you have
shcool A its 8v+4b=12
and
School B: 12v+4b= 16
since both classes used 4 busses we can use elimination by subtracting the A class Equation from the b class equation to solve from v for its value Then, use either equation and the now found value for v to solve for b.
You should find part of the process to be
12v+4b-(8v+4b)=12-16 which shows the van holds only a few people even before continuing the solution.
Answer -4
what do you think you’d like most about working as a forensic scientist? why
Answer:
i think its very interesting and pretty cool, because there is so much to learn and so much to explore
i wouldn't like the fact that you have to study so much though
Step-by-step explanation:
What is the solution to 7 × p = -56? A. -49 B. -8 C. 8 D. 49
Answer:
-8
Step-by-step explanation:
Hello!
What we do to one side of the equation we do to the other side
7 * p = -56
Divide both sides by 7
p = -8
The answer is -8
Hope this helps!
Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Answer: Brian invested $16000 in Fund B .
Step-by-step explanation:
Let x be the amount Brian invested in Fund B.
Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.
i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320
Profit on Fund B = 1% of x = 0.01x
Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)
= 0.02(8000+x)
As per question,
Combined profit=Profit on Fund A+Profit on Fund B
[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]
Hence, Brian invested $16000 in Fund B .
Which equation represents the line that is perpendicular to y=3/4x+1 and passes through (-5,11)
Will give brainliest!!
Answer:
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] , thus
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 5, 11) into the partial equation
11 = [tex]\frac{20}{3}[/tex] + c ⇒ c = 11 - [tex]\frac{20}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of perpendicular line
The equation of the line that passes through (-5, 11) and perpendicular to y = (3/4)x + 1 is
y = -2x + 1
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
y = (2/4)x + 1 is in the form of y = m(2)x + c
So,
m(2) = 2/4 = 1/2
The equation of the line y = m(1)x + c is perpendicular to y = (2/4)x + 1.
So,
m(1) x m(2) = -1
m(1) = -1/(1/2)
m(1) = -2
Now,
y = -2x + c passes through (-5, 11).
This means,
11 = -2 x (-5) + c
11 = 10 + c
11- 10 = c
c = 1
Thus,
The equation of the line is y = -2x + 1.
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Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.
Answer:
see the attached
Step-by-step explanation:
In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.
Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.
Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.
Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.
Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.
Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.
Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.
Step 7. Draw line PD parallel to m.
_____
The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.
[fill in the blank]
In this figure,AB and CD are parallel.
AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
what is the coefficient of x in the equation of 32+2x=10
solve after finding the coefficient
Answer:
x= -11
Step-by-step explanation:
the coefficient is variable that appears before a number . bearing this in mind, the coefficient of x is therefore 2 .
the value of x is:
>32+2x=10
>2x=10-32
>2x= -22
>x= -11
Answer:
Step-by-step explanation:
Coefficient of x = 2
32 + 2x = 10
Subtract 32 from both side
32 + 2x -32 = 10 - 32
2x = - 22
Divide both sides by 2
2x/2 = -22/2
x = -11
The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of minutes and a standard deviation of minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than minutes, (b) between and minutes, and (c) more than minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than minutes is nothing. (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between and minutes is nothing. (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than minutes is nothing.
Answer:
Step-by-step explanation:
Let S be the sample space, n(S) = 60
a) Let A be the event that the selected athlete uses
s less than a minute, n(A) = 59
The probability that a randomly selected athlete uses less a minute, P(A) = n(A)/n(S) = 59/60 = 0.9833
b) 1 - 0.9833 = 0.0167
c) 1 - 1 = 0
Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6
Answer:
The answer is option CStep-by-step explanation:
2√24 + 5√54
To combine the radicals first make sure the radicals have the same square root
That's
For 2√24[tex]2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6} [/tex][tex] = 4 \sqrt{6} [/tex]For 9√54[tex]5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6} [/tex][tex] = 5 \times 3 \times \sqrt{6} [/tex][tex] = 15 \sqrt{6} [/tex]Since they have the same square root we can combine them
That's
[tex]4 \sqrt{6} + 15 \sqrt{6} = (4 + 15) \sqrt{6} [/tex]We have the final answer as
[tex]19 \sqrt{6} [/tex]Hope this helps you
If a polygon has an area of 10 cm² and is dilated by a factor of 2, what will be the area of the dilated polygon?
Area depends on the product of sides,
so if the sides are shortened by a factor of 2, area will reduce by a factor of 4. (2×2)
new area = 10/4=2.5 cm²
Review what you know about products and sums represented by rectangular area models. [5 points] Use algebra tiles to multiply (x-1)(3x+2).
3x^2 - x - 2
What are some ways to solve an equation?
Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.
How do you evaluate an equation?
∫ y2+y−2dy ∫ y 2 + y − 2 d y∫ 2 1 y2 +y−2dy ∫ 1 2 y 2 + y − 2 d y∫ 2 −1 y2 +y−2dy ∫ − 1 2 y 2 + y − 2 d y= (x - 1)(3x + 2)
= 3x^2 + 2x - 3x - 2
= 3x^2 - x - 2
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WILL MARK BRAINLIEST!!!!20 POINTS!!!!URGENT!!!
Answer:
the firsts third and last one
Step-by-step explanation:
hope this helped
Kelly bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles.
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, to the nearest cent.
Answer:
$1.60 a crate
Step-by-step explanation:
t= 95.94/(6x20)
(6x20)= 60
95.94/60
$1.60
Answer:
Step-by-step explanation:
i) Cost per box = cost of a crate ÷ Number of boxes in the crate
b = 95.94 ÷ 6
b = $ 15.99
ii) Cost per tile = Cost per box ÷ Number of tiles in a box
t = b ÷ 20
t = 15.99 ÷20
t = $ 0.7995
Work out the value of angle x
======================================================
Explanation:
The given exterior angle 97 is adjacent to the interior angle 180-97 = 83. This is the base angle of the isosceles triangle. The other base angle is directly above it. The base angles are always opposite the congruent sides.
The missing interior angle (adjacent to the blue angle x) is unknown, so we'll call it angle y. This angle adds to the other two base angles (83 each) to get a sum of 180. Adding any three interior angles of a triangle always gets you 180
y+83+83 = 180
y+166 = 180
y = 180-166
y = 14
Angle x and y are supplementary. They form a 180 degree angle
x+y = 180
x = 180-y
x = 180-14
x = 166
As you can see, the base angles combine to form the exterior angle we're after. This is because of the remote interior angle theorem.
cual es el area de un rectangulo
Answer:
Use this formula:
a = b * h
Where: "a", the area of the rectangle is equal to its "b" (base), multiplied by "h" (height)
Step-by-step explanation:
Usa esta formula:
a = b * h
Donde: "a", el área del rectángulo es igual a su "b" (base), multiplicado por "h" (su altura).
A set of circular cups are placed so that they are touching rim to rim, as close together as possible. It is not possible to fit more cups inside the group if the longest straight line is five cups long, how many cups are there altogether?
Answer:
The total number of cups in arranged in an hexagonal area = 19 cups
Step-by-step explanation:
The pack the most circles within an area, the arrangement with the densest packing is the hexagonal lattice structure similar to the bee's honeycomb as has been proved Gauss and Fejes Toth.
Therefore, we pack the circles in an hexagonal lattice structure in an assumed hexagonal area where we have;
The longest straight line is five cups the next on either side are four cups and the final line on either side has three cups
The total number of cups = 3 + 4 + 5 + 4 + 3 = 19 cups
The total number of cups = 19 cups.
Pls answer I really need help
Brainlist and thank you will be the reward thank you so much!!!
Answer:
0.667 ✅Step-by-step explanation:
This is best solved using a proportion.
The formula is soy/vinegar = soy/vinegar where one of these is a variable.
Here we have:
[tex]\frac{150}{100} = \frac{1}{x}[/tex]
Now, we solve this by cross multiplying.
150x = 100
Dividing both sides by x, we get x = 2/3 or about 0.667.
Checking:
[tex]\frac{150}{100} = \frac{1}{0.667}[/tex]
1.5 = 1.5 ✅
I'm always happy to help :)What is the decimal equivalent of 16/3 ?
A. 5.3
B. 0.1875
C. 53333...
D. 16.3
Answer:
c. 5.333...
Step-by-step explanation:
When converting fractions into decimals, all you have to do is that you have to divide the numerator by the denominator. In this case, we will get 16 divided by 3. If we do this, we will get 5 and 1/3. One third in decimals is 0.3333... so the answer is 5.333...
The decimal 5.33 will be equivalent to 16/3 so option (A) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the fraction of 16/3
So divide 16 by 3
16/3 = (15 + 1 )3
⇒ 15/3 + 1/3
⇒ 5 + 0.333
⇒5.3
Hence "The decimal 5.33 will be equivalent to 16/3".
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can u help me with this?
Answer: Yes. The sales tax is 5% which equals $4.20 for $84
Step-by-step explanation:
[tex]\dfrac{0.60}{12}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{1.20}{24}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{1.80}{36}=0.05\qquad \rightarrow 5\%\\\\\\\dfrac{2.40}{48}=0.05\qquad \rightarrow 5\%[/tex]
The sales tax rate is proportional for the values in the table.
$84 x 0.05 = $4.20
The sales tax on a purchase of $84 is $4.20
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. What percentage of flu vaccine has been given?
Answer:
94.33
Step-by-step explanation:
add up all numbers then input into a percentage calculator
Percentage of flu vaccine has been given 94.33%
What is percentage?
Percentage is defined as ratio expressed as a fraction of 100.
The physician have total 1500 flu injections
300 shots given in September,
450 shots given in October,
and 665 shots given in November,
Total flu vaccine has been given = 300+450+665 = 1415
Percentage of flu vaccine has been given = (1415/1500)×100%
Percentage of flu vaccine has been given = 0.9433×100%
Percentage of flu vaccine has been given = 94.33%
Hence, percentage of flu vaccine has been given 94.33%
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Puzzle corner
Look Before You Leap!
See how long it takes you to work out the
following:
(1 x2)×(3 x 4)×(586)×(7 x 8) x (
9×0)
Answer:
0
Step-by-step explanation:
Notice that the last factor is null (9×0)
So the result will be null since any number that is multiplied by 0 equals 0.
Write in standard 7.125×10^-9
Answer:
7.125*10⁻⁹ = 0.000000007125
Step-by-step explanation:
7.125*10⁻⁹ = 0.000000007125
draw the graph of linear equation 5y = 3x + 18 on a cartesian plane. From the graph check weather (-2,4) is the solution of the linear equation or not PLS URGENT ANSWER
Answer:
The point (-2, 4) is not a solution of the linear equation, 5·y = 3·x + 18
Please find attached the required graph of the linear equation 5·y = 3·x + 18 written in the form y = 3/5·x + 18/5
Step-by-step explanation:
The given equation is 5·y = 3·x + 18, from which we have;
y = 3/5·x + 18/5
To draw the graph, we generate for vales of y corresponding to values of x as follows;
x, y
-6, 0
-5, 0.6
-4, 1.2
-3, 1.8
-2, 2.4
-1, 3
0, 3.6
1, 4.2
2, 4.8
3, 5.4
4, 6
5, 6.6
6, 7.2
7, 7.8
8, 8.4
9, 9
10, 9.6
11, 10.2
12, 10.8
13, 11.4
14, 12
15, 12.6
16, 13.2
Therefore, when y = 0, x = -6, when x = 0, y = 3.6, when x = -2, y = 2.4, when y = 4, x = -2, x = 6
Therefore, the point (-2, 4) is not a solution of the linear equation, 5·y = 3·x + 18
What is the width of the rectangle shown below?
4x + 3
A = 8x2 – 10x – 12
Answer:
2x-4Step-by-step explanation:
Area of a rectangle = Length * Width
Given parameters
Area A = 8x2 – 10x – 12
Length of the rectangle = 4x+3
Required
Width of the rectangle.
Substituting the given parameters into the formula
8x2 – 10x – 12 = (4x+3)*width
width = 8x2 – 10x – 12 /4x+3
S
Factorizing the numerator
8x² – 10x – 12
= 2(4x²-5x-6)
= 2(4x²-8x+3x-6)
= 2(4x(x-2)+3(x-2))
= 2(4x+3)(x-2)
Width = 2(4x+3)(x-2)/4x+3
Width = 2(x-2)
Width = 2x-4
Hence the width of the rectangle is 2x-4
math now..!! Help..?
Answer:
2p + 12
2 (p = +6) + 12 = 20
Answer:
I think its 6
Step-by-step explanation:
because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6
Find the slope of the line that passes through the points (-8,-3) and (2, 3)
0
1
3/5
5/3
Answer:
The answer is
[tex] \frac{3}{5} [/tex]Step-by-step explanation:
To find the slope passing through two points we use the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]Where
m is the slope
( x1 , y1) and ( x2 , y2) are the points
From the question the points are
(-8,-3) and (2, 3)
So the slope is
[tex]m = \frac{3 + 3}{2 + 8} = \frac{6}{10} = \frac{3}{5} [/tex]Hope this helps you
What is the result when the number 90 is decreased by 10%
Answer:
81
Step-by-step explanation:
First find the amount decrease
90 * 10 %
90 * .10
9
90 decreased by 9
90 -9
81
Answer:
81
Step-by-step explanation:
Turn into decimal.
10% = 0.1
Multiply
90 * 0.1 = 9
Subtract
90 - 9 = 81
Best of Luck!
Can someone pls help me &THANK YOU
SLATTTT!!!
Dawn and Jackson have baseball cards in the ratio of 2:3. Together, they have a total of 60 baseball cards. How many baseball cards does each child have?
Answer:
24 and 36
Step-by-step explanation:
2x + 3x = 60
5x = 60
x = 12
Dawn has 2(12) = 24
Jackson has 3(12) = 36
Step-by-step explanation:
To find the number of baseball cards each person received we must first find the total parts
That's
2 + 3 = 5
For Dawn
Dawn's part is 2
We have
2/5 × 60
= 24 baseball cardsFor Jackson
Jackson's part is 3
That's
3/5 × 60
= 36 baseball cardsHope this helps you
