Answer:
x < 3
Step-by-step explanation:
Answer:
x < 3
Step-by-step explanation:
treat the sign as if it was an equal sign
then you would solve for x
2x < 6
x < 3
however, there are some cases where the sign would switch directions, you can search up "inequalities algebra" to see more examples
-2y + 4 > 10
solve the inequality
Step-by-step explanation:
-2y+4>10
subtract 4 from both sides
-2y+4-4>10-4
-2y>6
divide both sides by two
-2/2y>6/2
-1y>3
if negative y is greater than three than you have to multiply both sides of the equation by -1
y>-3 if you put that back into the earlier equation it is impossible.
so we have to switch the signs to < or less than
y<-3
Hope that helps:)
If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width
Answer:
255
Step-by-step explanation:
(15x2 - 16x - 15) = 270
(3- 5) = -15
270
- -15
= 255
The breadth of the rectangle is (-5x-3).
Area of rectangleThe area of a rectangle is given as the product of its length to its breadth.
[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]
Given to usarea of a rectangle = (15x2 - 16x - 15)
length = (3x - 5)
Width[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]
Hence, the breadth of the rectangle is (-5x-3).
Learn more about Rectangles:
https://brainly.com/question/10046743
Y - 5= - (5 - y)
Does it have a solution?
Answer:
infanite
Step-by-step explanation:
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Answer:
You get a D if you have a grade between 66 and 72.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.
This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]
D: Scores below the top 80% and above the bottom 6%
So between the 6th and the 20th percentile.
6th percentile:
X when Z has a pvalue of 0.06. So X when Z = -1.555.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -1.555*8.4[/tex]
[tex]X = 66.2[/tex]
Rounds to 66
20th percentile:
X when Z has a pvalue of 0.2. So X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]
[tex]X - 79.3 = -0.84*8.4[/tex]
[tex]X = 72.2[/tex]
Rounds to 72
You get a D if you have a grade between 66 and 72.
Laurent is preparing a fruit salad. She wants the total carbohydrates from pineapple and watermelon to equal 24 g. Pineapple has 3 g of carbohydrates per ounce and watermelon has 2 g of carbohydrates per ounce. Write and graph an equation to model this situation.
Answer:
3x+2y=24
Step-by-step explanation:
I made the x value be the pineapples and the y value be the watermelon. And it said in the problem that it should equal 24g so I made it equal 24. Next You would need to find the x and y intercepts in order to graph it.
2y=24 and 3x=24, so x=8 and y=12. Now unfortunately I can't add a graph here but if you input those intercepts in an app like desmos or photomath, you'll get a graph. Hope this helps!
can somebody help me?
The function g(x) is defined as shown.
StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout
What is the value of g(0)?
−2
−1
3
6
Answer:
B:-1
Step-by-step explanation:
Just took test 2021
Answer:
Step-by-step explanation:
The given function is a piecewise function with characteristics that vary with the value of x.
Please find attached the graph of h(x).
Reasons:
The given information is presented as follows;
From the above piecewise function, we have;
For x ≤ 0, the slope of the graph of h(x) =
For 0 < x ≤ 3, the slope of the graph of h(x) =
For x ≥ 4, the slope of the graph of h(x) =
Therefore, as we progress from left to right, the slope of h(x) increases and
the slope of the graph becomes steeper.
The graph of h(x) is plotted with the given equations using MS Excel as
shown in the attached diagram.
5th grade math. correct answer will be marked brainliest.
Answer:
1
12 ------
3
The two figures shown are congruent. Which statement is true?
One figure is a translation image of the other.
One figure is a rotation image of the other.
Neither figure is a translation or rotation image of the other.
9514 1404 393
Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.
The opposite sides of a parallelogram
are
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
The receipt below shows the money, in dollars, spent by a customer at the good groceries stores
11 and 3/8 pounds of cat food were donated to the shelter
Can someone please help me what's the answer?
Answer:
k=77
Step-by-step explanation:
put this as the equation k/11=7
what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.
What is the formula for calculating Cone?
5x (-3)
A .The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich
B.The temperature change as it decreases 5 degrees every hour for 3 hours
С. A child grew 3 inches each year for 5 years
D.The change in elevation of a submarine as thinks 3 meters every second for 5 seconds
Answer:
you're answer is negative 15
Jayden has $10 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
$
Submit
Answer:
$1
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 10 × 0.05 × 2 = 1
I = $ 1.00
The simple interest accumulated
on a principal of $ 10.00
at a rate of 5% per year
for 2 years is $ 1.00.
In which rainforest three layer would you most expect to spot a harpy eagle
Answer:
canopy layer
Step-by-step explanation:
Help please. Monica estimates the recipe makes about 5 cups of fruit salad. which example describes whether Monica estimates is reasonable?
Not reasonable. Four fractions cannot equal more than 4 cups.
B
Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C
Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D
Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.
Answer:
A.
Step-by-step explanation:
Not reasonable, Why did you put that as your answer?
The whole numbers add up to more then 4 cups.
How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
A(t) = P (1+r/n)nt
y=24-4x function table
Answer:
here
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can someone help me with these two one step equations? I will give brilliant
Answer:
1.) p = 88.66
2.) m = 17
Step-by-step explanation:
1.) p - 23.76 = 64.9
p - 23.76 + 23.76 = 64.9 + 23.76
p = 88.66
2.) m + 78 = 95
m + 78 - 78 = 95 - 78
m = 17
Hope this helps and stay safe, happy, and healthy, thank you :) !!
HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
Answer:
707 bags of sand
Step-by-step explanation:
To find the area all you have to do is add 40+5+5=50 then you split that in half to get the radius. The you use the area formula to get the entire shape and the get the radius of the smaller circle. Then, you subtract the small circle from the big circle to get the amount of sand needed. When you do that you should get 706.86 but since you need a whole number you would round up to 707
The original cost of a piano is $19,100, and it is on a sale for 19% off its original price. If the total cost includes a 5% sales tax, the total cost of the piano is ____________.
Answer: $16,244.55
Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55
what is the measurement of jkl
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
What is the area of the triangle?
6
2
3
Answer:
6
Step-by-step explanation:
Find the area of both triangles inside the bigger triangle and add them together.
Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:
a² + b² = c²
2² + b² = 3²
4 + b² = 9
5 = b²
2.2 ≈ b
Calculate the area of the smaller triangle:
1/2(bxh)
1/2(2 x 2.2)
1/2(4.4)
2.2
Calculate the area of the bigger triangle:
We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.
1/2(bxh)
1/2(2 x 3.8)
1/2(7.6)
3.8
Add both areas to find the area of the largest triangle:
3.8 + 2.2 = 6
The slope of a linear function is 1/5. For every rise of 5 units, what is the run?
Answer:
for every rise of 1 the run would be 25
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
A garden has four sides that are all the same length. Each side measures x + 5 units. The garden’s perimeter is 144 units. What is the value of x?
Show your work for full points or brainlyest answer
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
4(X+5) = 144 (if on side measures (x+5) then P will be the 4 sides added
so adding the same value repeatedly means multiplication.
- Distribute: 4x + 20 = 144
- Inverse op. to isolate the variable minus 20 from both sides
- 4x = 124
- Divide by 4 on both sides
- 124/4 = 31
- x = 31 units
The sum of a number and six times its reciprocal is 10. Find the number
Answer:
two solutions work: x = 5 + [tex]\sqrt{19}[/tex] and x = 5 - [tex]\sqrt{19}[/tex]
Step-by-step explanation:
x + 6 ( 1/x ) = 10
x^2 + 6 = 10x
x^2 - 10x + 6 = 0
x = 5 + [tex]\sqrt{19}[/tex], 5 - [tex]\sqrt{19}[/tex]