Determine if the given value is a solution of the inequality. Show your work.
7 – 2y > 3y + 13; y = -1
Given:
[tex]7-2y>3y+13[/tex]
To find:
The whether the value [tex]y=-1[/tex] is a solution of the given inequality or not.
Solution:
We have,
[tex]7-2y>3y+13[/tex]
It can be rewritten as
[tex]-2y-3y>13-7[/tex]
[tex]-5y>6[/tex]
Divide both sides by -5 and change the inequality sign.
[tex]y<\dfrac{6}{-5}[/tex]
[tex]y<-1.2[/tex]
All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.
[tex]-1>-1.2[/tex]
Therefore, [tex]y=-1[/tex] is not a solution of the given inequality.
Larry surveyed 20 students at random about their pizza preference and found that 14 prefer cheese pizza. If 150 students are expected to attend the after school pizza party, about how many books prefer cheese pizza?
Answer:
its 105 yw pls mark me brainliest pls
Step-by-step explanation:
105 students prefer cheese pizza.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are represented or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
If Larry surveyed 20 students then 14 students prefer cheese pizza.
So, the fraction for students who choose prefer cheese pizza is
= 14/20
Now, there are 150 students then number of students who prefer cheese pizza
= 14/20 x 150
= 2100/20
= 105
Hence, 105 students prefer cheese pizza.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
Please answer correctly! I will mark Brainliest!
Answer:
Mind Making A New So We Can Help?
Step-by-step explanation:
How can you use a table or a graph to determine if a function is linear or nonlinear?
Answer: To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Step-by-step explanation:
Evaluate.
5^3 − (64/8) + 10^2
Enter your answer in the box.
Answer:
210
Step-by-step explanation:
Answer:
217
Step-by-step explanation:
5³ − (64/8) + 10²=125-8+100=217
2) Solve : You and a friend go to El Super Taco after school. You order three soft tacos and two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito. How much do tacos cost? How much do burritos cost?
Answer:
A burrito costs 2.8 dollars.
Step-by-step explanation:
3b + 2t = 11
1b + 4t = 8
b = 14/5, t = 13/10
14/5 as a mixed number is 2 4/5
4/5 of a dollar is 80 cents.
So b = 2.8
A burrito costs 2.8 dollars.
Pls help me I’m failing lolz :)
How is the Pythagorean theorem related to the distance formula? Explain.
Answer:
Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.
Step-by-step explanation:
i got it right on edge 2021
Which of the following images show a rotation of 270 counter-clockwise?
Answer:
top left
Step-by-step explanation:
(1) Is climate change causing more severe storms? In a 2017 pre-Hurricane Irma
survey, 486 out of 1,080 adults answered in the affirmative. In a 2017 post-
Hurricane Irma survey, 546 out of 1,050 answered affirmatively. Establish a 90%
Confidence interval estimate of the difference (pre- minus post-hurricane) between
the proportions of adults pre-Hurricane Irma and post-Hurricane Irma who believe
climate change is causing more severe storms.
Answer:
90% Confidence Interval for difference in Proportion = (-0.106, -0.034)
Step-by-step explanation:
The formula for difference in proportions is given as:
p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2
p = x/n
In a 2017 pre-Hurricane Irma
survey, 486 out of 1,080 adults answered in the affirmative.
x1 = 486
n1 = 1080
p1 = 486/1080 = 0.45
In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.
x2 = 546
n2 = 1050
p2 = 546/1050 = 0.52
Z score for 90% confidence interval = 1.645
Confidence Interval
=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050
= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143
=-0.07 ± 1.645 × √(0.000466881)
= -0.07 ± 1.645 × 0.0216074293
= -0.07 ± 0.0355442212
Confidence Interval
-0.07 - 0.0355442212
= 0.1055442212
Approximately = -0.106
-0.07 + 0.0355442212
= -0.0344557788
Approximately = -0.034
Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)
Camden put $25,000 in an investment 10 years ago. The investment increased in value by 5.6% per year. What is the value of the investment now?
Answer:
$26,000
Step-by-step explanation:
5.6% of $25,000
=$1400
$1400+$25,000= $26,000
PLEASE HELP- I NEED CORRECT ANSWER!!
Select the correct answer. Which inequality is graphed on the coordinate plane?
A. y < 4x + 2
B. y > 4x + 2
C. y ≤ 1/4x +2
D. y ≥ 4x + 2
E. y ≤ 4x + 2
Answer:
y > 4x + 2
Step-by-step explanation:
Y is above the line so the value has to be greater than the line (or equal to, possibly). So it represents > or ≥
A dotted/dashed line is non-inclusive, so it represents < or >.
Since it is both above the line AND non-inclusive, we would use this sign:
>
and this equation :)
y > 4x + 2
Have a nice day. Feel Free to ask questions. Spread the Love.
Answer: y > 4x + 2
Step-by-step explanation:
help me nowwwwwwwwwwwwwwwww
Answer:
volume = 3x6x2 = 36 cubic inches
Step-by-step explanation:
Answer:
That's easy, just take base times width times Hight. or in this case 6x2x3=
do this on a calculator. :)
Step-by-step explanation:
And anytime you are doing volume, it will always be cubed.
Joe and his 2 friends are making Smores. Each Smore uses 1/4 of a chocolate bar and the package has 8 chocolate bars. How many Smores can the boys make?
Answer:
They made 2 smores. 1/4(8) = 2
What is mpo?
128°
O 1730
O 1920
O 256°
Answer:
it's the 2nd one because
Step-by-step explanation:
have a nice day
Will arrived at his mother's office at 11:00am. It took him 30 mins to walk from his home to the mall. Will was in the mall for 45 mins. It took will 15 mins to walk from the mall to the office. At what time did will leave home?
Answer: 9:30 am
Step-by-step explanation:
To solve this question, add up the time that Will spent walking from his home to the mall and then the length of time he spent in the mall and then the amount of time it took him to walk from the mall to the office:
= 30 + 45 + 15
= 1 hr 30 mins
Then deduct this number from 11:00 am to find out when he left home:
= 11 am - 1 hr 30 mins
= 9:30 am
Solve the equation for y.
3y = -6x + 1
y =
During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.
What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.
• A. x = 1
• B. x = -4
• C. x = -1
• D. x = -3
Answer:
C
Step-by-step explanation:
The parabola is symmetrical at x = -1.
If you were to fold it over itself, it would match up if you folded at x = -1
I need help with this please
Answer:
27
Step-by-step explanation:
2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27
Answer:
27°
Step-by-step explanation:
angle 1 is vertically opposite to angle 2
angle 2 is correspondence to angle 4
vertically opposite and corresponding angles are equal
Please help I’ll mark brainliest
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
All statements of equality below are correct ? Need help!
Answer:
True
Step-by-step explanation:
√784/√4 = 28/2 = 14
Answer:
the answer is true
Step-by-step explanation:
because all are equal 14
solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x
Answer:
Step-by-step explanation:
hello : here is an solution
can someone help with just question 3 and 4 i will give brainliest
Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.
Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
A candy company can sell fruit gums in rectangular boxes or in cylindrical tubes. Each box is 8 cm by 3 cm by 7 cm. Each cylinder has radius 3 cm and height 6 cm. The company wants the packaging that uses less material. Which packaging should the company choose? Justify your choice.
Answer:
i. The company should use the cylindrical tubes.
ii. This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
Step-by-step explanation:
i, Which packaging should the company choose?
The packaging that uses less material is the one with the least surface area. So, we find the surface area of each material.
For the rectangular box, the surface area, A = 2(lb + lh + bh) where l = length, b = breadth and h = height. Since each box is 8 cm by 3 cm by 7 cm,l = 8 cm, b = 3cm and h = 7cm.
So, ,A = 2(lb + lh + bh)
,A = 2( 8 cm × 3 cm + 8 cm × 7 cm + 3 cm × 7cm)
A = 2(24cm + 56 cm + 21cm)
A = 2(101 cm²)
A = 202 cm²
For the cylindrical tube, the surface area, A' = 2πr(r + h) where r = radius of cylinder and h = height of cylinder.
Since each cylinder has radius 3 cm and height 6 cm, r = 3cm and h = 6 cm.
So, A' = 2πr(r + h)
A' = 2π(3 cm)(3 cm + 6cm)
A' = (6π cm)(9 cm)
A' = 54π cm²
A' = 169.65 cm²
Since the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
The company should use the cylindrical tubes.
ii. Justify your choice.
This is because the surface area of the cylindrical tubes, A' = 169.65 cm² is less than the surface area of the rectangular box, A = 202 cm²
Four less than six times a number equals 73
Let the number be [tex] \rm x [/tex]
Given ;4 less than < 6 times a number = 73
A/Q
Equation forms ➝[tex] \rm\implies \: 6x - 4 = 73 \\ \rm \implies \: 6x = 73 + 4 \\ \rm \implies \: 6x = 77 \\ \rm \implies \: x = \frac{77}{6} \\\\ \rm \therefore x = 12.83 [/tex]
Now, let's check it whether the value is correct or not.
{ Use BODMAS rule here }
BracketofdivisionmultiplyadditionsubtractionNow come to the point [tex]\red ✓[/tex]
➝ 12.83 × 6 - 4 = 73
➝ 76.98 - 4 = 72.98 which is equal to 73.
As we know that if after decimal number exceeds 5 it is converted to its next number.
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Hope this helps you mate ✅
Have a cheerful evening ☺️
whats the equation to #4
Answer:
I'm guessing this is for volume
Step-by-step explanation:
The equation to number 4 is
15 x 10 x 12= 1,800 in³
What’s the measure of A?
Answer:
x= 15 and the equation is 3x+5x+4x=180
I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
It is correct