Solve this inequality. Show all work.
-25(x+5)>100
x<−9
is your answer
x+5<−
25
100
x+5<−4
x<−4−5
x<−9
Pls fast I need help plsssss
Answer:
ok so u know that all triangles in the inside are equal to 180
Step-by-step explanation:
1. 180-162= 18 angle a is 18, now to solve for b 180-122-18=40, angle b is 40
2.180-171=9 angle a is 9, now to solve for b 180-128-9=43, angle b is 43
3.180-35-22=132 angle c is 132, now to solve for angle d 180-22=158, angle d is 158
4. 180-20-29=131 angle c is 131, now to solve for angle d 180-20=160, angle d is 160
20. Mr. Sprengel has a total amount of 91 pens and pencils. The ratio of pens to pencils is 6:7.
How many pencils does he have?
Answer:
Mr. Sprengel has 49 pencils.
Step-by-step explanation:
We are given that Mr. Sprengel has 91 pens and pencils.
We are also given that the ratio of pens to pencils is 6:7.
We can create an equation to solve for how many pencils Mr. Sprengel has.In this case, our unknown variable is how many pencils Mr. Sprengel has.Basically, the problem is telling us that for every 6 pens, there are 7 pencils.
Therefore, we can set up an equation and set our unknown (the amount of pencils) to be equal to x.
[tex]\displaystyle6x + 7x = 91\\\\13x = 91\\\\x = 7[/tex]
Now, we found our x. However, we need to plug this into a new equation and find how many pens and pencils Mr. Sprengel has.
Our new equations are:
[tex]\bullet \ 6(7) = y\\\\\bullet \ 7(7) = z[/tex]
In this case:
y will equal the amount of pens.z will equal the amount of pencils.Therefore, let's solve these:
[tex]6(7) = y\\\\y = 42\\\\\\7(7) = z\\\\z = 49[/tex]
Now, finally, we need to insert these values into our newfound equation:
[tex]\bullet \ y + z = 91[/tex]
[tex]42 + 49 = 91\\\\91 = 91 \ \checkmark[/tex]
We get a true statement, so we have determined that Mr. Sprengel has:
42 pens49 pencilsWhat is the slope of a line that is perpendicular to the line to the line represented by the equation y=1/3x+4
Answer:
C.
Step-by-step explanation:
Perpendicular slope means it's the opposite, meaning the perpendicular slope of 1/3 is -3 because -3 = -3/1. [note: if it's positive it should come out negative and just the opposite if it's a negative (the fraction should also be flipped)]
Find x if f(x) = 2x + 7 and f(x) = -1.
a.5 b.-3 c.-4
Answer:
Answer c. -4
Step-by-step explanation:
Equations
Given:
f(x) = 2x + 7
We need to find the value of x such that:
f(x) = -1
Equating:
2x + 7 = -1
Subtracting 7:
2x = -1 - 7
Operating:
2x = -8
Dividing by 2:
x = -8 / 2 = -4
x = -4
Answer c. -4
please answersee image bellow
Answer:
62.832 mi.²Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 2 miles radius
h = 3 miles
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (2) 3 + 2π (2)²
= 37.699 + 25.133
= 62.832 mi.²
Which expressions are equivalent to 5 ( -2k - 3 ) + 2k?
A. ( -5 - 3 ) - 8k
B. -15
C. None of the above
Answer:
C
Step-by-step explanation:
MNQP is a square. What are the values of t and f?
Answer:
t = 17.5
f = 12
Step-by-step explanation:
interior corner angles in a square = 90 degrees
4t + 20 = 90
4t = 90 - 20
4t = 70
t = 17.5
7f + 6 = 90
7f = 90 - 6
7f = 84
f = 12
Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the base of the tower. What is the length of the slide
Answer:
The length of slide is 18.36 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where
The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.
Height of tower = h = 16 meters
Distance between slash pool and base of tower = b = 9 meters
Length of slide = s = ?
As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide
Pythagoras theorem states that:
[tex](Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters[/tex]
Hence,
The length of slide is 18.36 meters
Juan is going to make a small table with a circular top. He drew a circle with a diameter of 22 inches to
show his design.
22 in.
Which of these is closest to the area in square inches of the tabletop Juan is going to make?
O A. 69
OB. 138
O C. 380
OD. 1,520
CV
A
O EPIC
Answer:
C. 380
Step-by-step explanation:
Area of the tabletop = area of a circle
Area of a circle = πr²
radius (r) = ½*diameter = ½*22 = 11 in
Take π as 3.14
Plug in the values into the formula
Area of tabletop = 3.14*11² = 379.94
Area of tabletop would be approximately 380 in² (to nearest whole number)
Wright an equation in slope-intercept (y=Mx+b) form for each line.
Answer:
[tex] y = \frac{3}{5}x + 2 [/tex]
Step-by-step explanation:
Find slope (m) using two points (0, 2) and (5, 5):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 2}{5 - 0} = \frac{3}{5} [/tex]
y-intercept (b) = 2 (i.e the value of y when x = 0)
Substitute m = ⅗ and b = 2 in [tex] y = mx + b [/tex]
The equation of the line would be:
✅[tex] y = \frac{3}{5}x + 2 [/tex]
The table below shows the total number of hours Jessica Emily and Trina each studied after given a number of weeks
Answer:
Trina's number of hours studied is proportional to number of weeks studied
[tex] y = 2.5x [/tex]
Step-by-step explanation:
The ratio of each pair in any given table of values must be the same all through, for the relationship between two variables to be considered proportional.
In this case, we are looking at the relationship between number of weeks (x) and total number of hours studied (y).
The ratio for a pair is given as: y/x
If the ratio value for all pairs are the same in any of the given table, then it is proportional.
❌For Jessica's table of values, the first, second and third pair of values have a ratio of 2.5, however, the fourth pair has a different ratio of 4 (y/x = 40/10 = 4). So, this relationship is not proportional.
❌For Emily, the first, and second pair has a ratio of 2.5 while the third and fourth has different ratio. This also isn't a proportional relationship.
✅For Trina, the relationship between hours studied and the given number of weeks is proportional, because all pairs have the same ratio. That is: y/x = 5/2 = 10/4 = 20/8 = 25/10 = 2.5
✍️A proportional relationship can be written as [tex] y = kx [/tex].
Where,
y = total number of hours
x = number of weeks
k = constant of proportional = 2.5 (the ratio between y to x)
To generate an equation that represents the proportional relationship in the table of values for Trina, simply plug in the value of k in [tex] y = kx [/tex].
Thus, the equation would be:
✅[tex] y = 2.5x [/tex].
Answer:
give the dude brainliest
Step-by-step explanation:
How to use place value strategies to find the number of zero in the product
Answer:
Count them?
Step-by-step explanation:
Use the variable, h, to write an expression representing the difference of three times a number and two.
Answer:
3h - 2
Step-by-step explanation:
......................
Which list orders the numbers from least to greatest?
3.-25.13,-23.12
A. 0 13,13.-25.-23.3
B. 25-23.13.13.3
C. -25.-27. 12. 13.3
D. 0-23-25, 13, 133
GIVING BRAINLY. Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken?
StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction
StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction
StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction
StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answer:
c
Step-by-step explanation: sorry I'm late but I got a 100
Answer:
900*0.13
Step-by-step explanation:
I'm not sure exactly what your answer choices are saying (I'm sorry ab that!), but I do know for a fact this will get you the correct answer!
Which numbers make the comparison true? 29,651<
A 28,983
B 27,863
C 29,983
D 29,905
The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are as follows: 63 69 62 66 with standard deviation 3.16.
Required:
Calculate the 99% confidence interval for population mean μ. Find the closest answer
Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±[tex]z\frac{s}{\sqrt{n}}[/tex]
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
[tex]x=\frac{63+69+62+66}{4}[/tex]
x = 65
65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
a line with a slope of -2 passes through the point (3,-2). write the equation of line in point-slope form.
Answer:
y-(-2)=-2(x-3)
Step-by-step explanation:
point-slope form:y-y1=m(x-x1)
y-(-2)=-2(x-3)
-2+2=0
-3+2=(-1)
y=-2(x-1)
-2*x=(-2x)
-2*-1=2
y=-2x+2
-2 is the slope
2 is the y-intercept
hope this helps :3
if it did pls mark brainliest
Dawn works at the sponge factory and puts sponges in bags. She gets paid $0.12 for every sponge. If she got a paycheck for $864.00, then how many sponges did she put in bags?
A. 7,200
B. 23,000
C. 103
D. 865
Answer:
A.) 7,200
Step-by-step explanation:
Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and y represent the number of nickels
Note: Consider we need to find each type of coins he has.
Given:
Erin has quarters and nickels for a total of 16 coins.
The value of his coins is $2.60.
To find:
The number of each type of coins.
Solution:
Let x represent the number of quarters and y represent the number of nickels.
According to the question,
Total coins : [tex]x+y=16[/tex] ...(i)
Total value : [tex]0.25x+0.05y=2.60[/tex] ...(ii)
Multiply equation (i) by 0.25 and subtract the result from (ii).
[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]
[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]
[tex]-0.20y=-1.40[/tex]
Divide both sides by -0.20.
[tex]y=7[/tex]
Put y=7 in (i).
[tex]x+7=16[/tex]
[tex]x=16-7[/tex]
[tex]x=9[/tex]
Therefore, the number of quarters is 9 and number of nickels is 7.
HELP ME PLEASEEEEEEEEEE
Answer:9/10 L
Step-by-step explanation:
Convert 4.27
4.27 to
improper fraction
Answer:
[tex]\frac{427}{100}[/tex]
Step-by-step explanation:
4.27 * 100 = 427
[tex]\frac{427}{100}[/tex]
Answer:
427/100
Explanation:
As a proper fraction it would be 4 and 27/100, so to make it improper you multiply 4 times 100 and add that to 27.
Which rules define the function whose graph is
shown?
on
X<-2
-2
on
on
Osx<2
-4
on
2
-4X
x=
X=-4
Answer:from top to bottom it’s
-4,-x^2,x^2,4
Step-by-step explanation:
Hope this helps :)
What does this equal? [1+(7-2)]2=
Answer: 12
Step-by-step explanation: caculator
coordinate plane with trapezoids TRAP and T prime R prime A prime P prime and points W, X, Y, and Z with points located at T 1 comma 1, R 2 comma 3, A 4 comma 3, P 5 comma 1, T prime 2 comma one half, R prime 2 and one half comma one and one half, A prime 3 and one half comma one and one half, P prime 4 comma one half, W 2 and one half comma negative one and one half, X 0 comma 3, Y 5 comma negative 1, and Z 6 comma 1
Trapezoid TRAP was dilated by a scale factor of one half to create trapezoid T'R'A'P'.
Which point is the center of dilation?
W
X
Y
Z
Answer:
Answer: X
Step-by-step explanation:
Answer:
B. X
BTW Jimin is living mochi!
Step-by-step explanation:
what number is 33 1/3% of 66
Answer: 22
22 should be the correct answer
Dillon read 1/5 of a book on Monday and 2/5 of the book on Tuesday. What fraction of the book did he read on Monday and Tuesday?
Answer:
Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]
Step-by-step explanation:
Dillon read book on Monday = [tex]\frac{1}{5}[/tex]
Dillon read book on Tuesday = [tex]\frac{2}{5}[/tex]
We need to find fraction of the book did he read on Monday and Tuesday
So, Fraction of Book Dillon Read on Monday and Tuesday= Book read on Monday + Book read on Tuesday
Fraction of Book Dillon Read on Monday and Tuesday= [tex]\frac{1}{5}+\frac{2}{5}[/tex]
[tex]=\frac{1+2}{5} \ (Taking \ LCM \ of \ 5 \ and \ 5 \ we \ get \ 5) \\=\frac{3}{5}[/tex]
So, Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]
HELP LOL! IS THIS PROPORTIONAL EASY POINTS
Answer:
nonproportional
Step-by-step explanation:
nonproportional is what i think
Answer:
Yes, y= -7x is proportional
Step-by-step explanation:
Which angles represent alternate interior angles? O angles A and C O angles B and D O angles C, D, and E O angles B and C
Explanation:
Erase the line from angle C to angle A. You'll be left with only one transversal. This transversal forms angles B and D, which are alternate interior angles. They are inside the parallel lines, so that's what makes them interior. They are also on alternating sides of the transversal line. Alternate interior angles are congruent when we have parallel lines like this.
Side note: Another pair of alternate interior angles would be angle A and angle E.