Answer:
x>-2
Step-by-step explanation:
So, lets start by distrubuting the -3 to x:
-3x-4<2
Then lets just start solving. First lets add 4 to both sides to get -3x alone:
-3x<6
Now lets divide -3 from both sides to get x alone:
x<-2
There is one thing we must remember, however.
When dividing a inequality by a negative, the sign is flipped.
So in this case, the < is now >:
x>-2
This basically means a solution is any value greater than -2!
Hope this helps!
A small town has two local high schools. High School A currently has 750 students and is projected to grow by 45 students each year. High School B currently has 850 students and is projected to grow by 25 students each year. Let A represent the number of students in High School A int years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same.
Answer: A=750 +75*t
B=900 +25*t
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Step-by-step explanation:
A = B
750 +75*t=900 + 25*t
Solving:
75*t -25*t= 900 - 750
50*t= 150
t=3
This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:
A=750 +75*t= 750 +75*3= 975
B=900 + 25*t=900 + 25*3= 975
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
14.10.2 Test (CST): Linear Equations Questlon 21 of 30 What is the slope of the line that passes through the points below? (Enter your answer as a decimal if necessary.) (53)
what is the area of the triangle.
Answer:
A=hbb= 2
Step-by-step explanation:
your welcome plz brainlist
Answer:
21.75u2
Step-by-step explanation:
first use pythag for this
use rule c2=b2+a2
reverse the rule so that
b2=c2-a2
b2=100-81
b2=19
b=4.35
how u got the height of the triangle
use formula bh/2
10x4.35/2
=43.5/2
=21.75u2
As you can tell I’m back to help my idiotic Brother just do the first 3 ty
1:plus 4 2: times 2 3:minus 10
The length of a rectangle flower bed is 5ft longer than its width. A sidewalk with a width of 3ft surrounds the bed. If the total area of the bed and sidewalk is 546ft^2, what are the dimensions of the flower bed ?
Answer:
[tex]W=15ft[/tex]
[tex]L=20ft[/tex]
Step-by-step explanation:
From the question we are told that:
Length of Bed [tex]L=5+W[/tex]
Width of sidewalk [tex]W_s=3ft[/tex]
Area of the bed and sidewalk [tex]A_t= 546ft^2[/tex]
Generally the equation for Area of the bed and sidewalk[tex]A_t[/tex] is mathematically given by
[tex]Area=L*B[/tex]
[tex]A_t=((3+3)+L)*((3+3)+W)[/tex]
Therefore
[tex]546=((3+3)+(5+W))*((3+3)+W)[/tex]
[tex]0=((6+(5+W))*((6)+W)-546[/tex]
[tex](11+W)*(6+W)-546=0[/tex]
[tex]W^2+17B-480=0[/tex]
Solving the Quadratic Equation
[tex]W=15ft[/tex] (Using only positive root)
Generally the Length L is mathematically given by
[tex]L=5+15[/tex]
[tex]L=20ft[/tex]
The Spanish Club has 40 members, 5 girls and 35 boys. What is the ratio of
girls to boys in the Spanish Club?
O A. 1:4
B. 1:7
C. 7:1
Answer:
B. 1:7
Please give me brainliest, thank you!
Step-by-step explanation:
Information given and needed:
- 40 members
- 5 girls
- 35 boys
Solve:
girls to boys
5 to 35
(You can now simplify)
1 to 7
Answer:
B. 1:7
Answer:
1:4
Step-by-step explanation:
PLZZZZZZZZZZZZ
She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *
Answer:32.05
Step-by-step explanation:
SO after tax the total would be $37.71.With original price $37.71 and 15% discount,
Price after discount: $32.05
You saved: $5.66
what's equivalent to (9 7/8 + 2 4/5) - 1/2
Answer:
12.175
Step-by-step explanation:
also
Step-by-step explanation:
C) 9 7/8 - (- 2 4/5) - (- 1/2) =
= 9 7/8 + 2 4/5 + 1/2 (F)
D) - (- 9 7/8 + 2 4/5) - 1/2) =
= 9 7/8 - 2 4/5 - 1/2 (F)
E) 9 7/8 - (- 2 4/5 - 1/2) =
= - 7/8 + 2 4/5 + 1/2 (F)
Answer:
12 7/40
Step-by-step explanation:
9 7/8 = 9 35/40
2 4/5 = 2 32/40
add: 11 67/40
67/40 = 1 27/40
11 + 1 27/40 = 12 27/40
12 27/40 - 20/40 = 12 7/40
iq scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100 a)13.5% b)47.5% c)95% d)27%
Answer:
"approximately 47.%"
Step-by-step explanation:
Using the statistical function normalcdf( on my old TI-38 calculator:
normalcdf(100,130, 100, 15) returns the fraction 0.477,
so the final answer here is "approximately 47.%"
someone help me please i need this by today
Answer:
In the picture above
Step-by-step explanation:
I solved all questions except no.7 ; I don't know how can be solved.
I hope that its a clear solution. Goodluck
3. Graph the following exponential function and
label the asymptote. (9 pts)
y = - 3(2)
(x, y)
-2
-1
X
Х
2012
Answer:
y=3(2)
(x:y)
-3-2÷(-2-(-1)
=-5÷2
Help me please I’m confused
Answer:
Step-by-step explanation:
Start at (-2, 0). The curve (a sinusoidal) continues to the right and ends at (6, 0). That's an interval of 8. Then, after another 8 units on the horizontal axis, the curve repeats itself again. This is a "periodic function," with period 8.
In a Triangle,2angles are 56°and 45°,then find the third angle
Answer:e answer is 79
Step-by-step explanation:
to find the third angle subtract the angles from
180
=56°+45°
=99
third angle=180°-99°
=81°
Expand and simplify (x – 2)(2x + 3)(x + 1)
Answer:
Step-by-step explanation:
(x-2)(2x+3)(x+1)
=x(2x+3)-2(2x+3)(x+1)
=(2x^2+3x-4x-6)(x-1)
=(2x^2-x-6)(x-1)
=2x^2(x-1)-x(x-1)-6(x-1)
=2x^3-2x^2-x^2+x-6x+6
=2x^3-3x^2-5x+6
( x - 2 )( x + 1 )( 2x + 3 ) =
( x^2 - x - 2 )( 2x + 3 ) =
2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =
2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =
2x^3 + x^2 - 7x - 6
Equation:y=5/3x+5
Slope:5/3
y-intercept:?
Answer:
y = -5 hope this helps you out
HOW TO DO THIS QUESTION PLEASE
Answer:
34
Step-by-step explanation:
[tex]\frac{2}{5}*85[/tex]
Long way
multiply the two numeratorsmultiply the two denominatorssimplify the new fractions[tex]\frac{85}{1}*\frac{2}{5} \\ \\ \frac{170}{5} \\ \\ =34[/tex]
short way
-can be simplified before mulitplying
factor out common factors in the numerator and denominator[tex]\frac{85}{1} *\frac{2}{5} \\ \\ \frac{17}{1}*\frac{2}{1} =34[/tex]
Think 85 and 5 as nickels. You need 20 nickels to make 100. Subtract 100 by 85 to get 15. You get 3 nickels and 17 nickels. 17 is the common factor. Multiply 17 by 2 to get your answer.
Consider the following graph, which indicates collected data on the weight of a certain species of swallow and the number of leaves it weaves into its nest. A graph titled Swallow Nests has size of bird (grams) on the x-axis and number of leaves used in nest on the y-axis. Points are scattered throughout the graph. What aspect of this graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the unrelated nature of the data b. the broad differences over short intervals c. the total values of the data as a whole d. the indirect connection between weight and leaf content
Answer:
d
Step-by-step explanation:
edg 2020/21
Please answer this for me correctly. THANK YOU!!
Answer:
The answer is <MQL.
Elena’s backyard is in the shape of a rectangle. She created a triangular-shaped flower bed (shown as the shaded region) to plant flowers in. The area of the triangular flower bed is square feet. The area of her backyard that does not include the flower bed is square feet.
Answer:
Area of background without flower bed = 575 feet²
Step-by-step explanation:
Given:
Length of rectangle ground = 35 feet
Width of rectangle ground = 20 feet
Height of triangle bed = 10 feet
Base of triangle bed = 25 feet
Find:
Area of background without flower bed
Computation;
Area of background without flower bed = Area of rectangle - Area of triangle
Area of background without flower bed = [l x b] - (1/2)(b)(h)
Area of background without flower bed = [35 x 20] - (1/2)(25)(10)
Area of background without flower bed = 700 - 125
Area of background without flower bed = 575 feet²
Answer:
125 for the backyard with the flower bed, and the backyard that does not include the flower bed is 575 square feet :)
Find the total surface area of this cylinder.
Give your answer to 1 decimal place.
24 cm
18 cm
(it's not 2262 or 2021.9 I've already tried those)
Answer:
Step-by-step explanation:
1. Find the circumference of the cylinder: C = 2πr
2. Multiply this result by the height of the cylinder: A = 2πr·h
3. To this result add the surface areas (there are two) of the ends of the cylinder: 2πrh + 2πr²
This is the correct general formula for the surface area of a cylinder of radius r and height h. If you want specific numbers, please share the values of r and h.
What is the percent for 82?
which table and graph represent the equation y =5x
No table and graph given for us to choose from.
Can anyone help me with this problem
Answer:3^2
Step-by-step explanation:
I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9
I need answer Immediately pls!!!!!!!!
Step-by-step explanation:
write what you know
the flat fee doesnt chamge no matter how much he uses his data
the charge for every gigabyte does change
Ex: if he uses 3 gigabytes of data in one month, that's
5 + 5 + 5 = $5 x 3 = $15
So taking this into consideration youd write the following
$41.50 + $5x = $52.50 (since this is what we want to equal)
then solve for x
what is the answer to this?
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because the y column can all be multiplied by 5 to get the x column
What is the measure of XZ?
A. 36°
B. 144°
C. 72°
D. 18°
Answer:
C.72
Step-by-step explanation:
angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle
Hence, angle XYZ * 2= arc XZ
If Angle XYZ = 36
then 36 * 2 = arc XZ
36 * 2 = 72
hence the answer is C
The measure of arc is 72 degree, the correct option is C.
What is an arc?An arc is formed by two radii and their intercepted part on the circumference.
According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.
The angle subtended by arc XZ on the circumference is 36 degree.
The angle subtended by the arc at the center is = 2 * 36 = 72 degree.
The arc subtended by the arc at the center of the circle is the measure of the arc.
To know more about Arc
https://brainly.com/question/18741430
#SPJ5
Find the value of X and y need asap
Answer:
x=66
y=48
Step-by-step explanation:
Answer:
x=66
y=48
Step-by-step explanation:
The triangle is an isosceles
meaning to angles are the same
Angle y is found out by doing 180 subtracted from the two 66
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x=34
Step-by-step explanation:
Again we are given an angle's ( x to be more specific ) opposite side length and the adjacent side length so we will use trig ratio tangent
Recall that tan = opposite over hypotenuse
[tex]tan(x)=\frac{29}{43}[/tex]
* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )
[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]
Finally we round to the nearest tenth of a degree and get that x = 34
please help please please please please please someone helpppp please please please pleaseeeeeeeee
Answer:
which class
Step-by-step explanation:
which class question is this
What is the measure of angle A in the triangle shown above?
Answer:
answer is A
sum of angles = 180
5x -20 + 3x +5 + 2x - 15 =180
10x = 180 + 30
10x=210
x=21
A=3×21+5
=68