Answer:
x > 7
Step-by-step explanation:
-5x < -35
(Divide by 5)
-x < -7
(When dividing by a negative number, you flip the sign)
x > 7
The answer of given inequality is x > 7 .
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Given,
-5x < -35
Divide by 5 in inequality
-x < -7
Multiply by (-1) in inequality [flip the sign of inequality]
So, x > 7
Learn more about inequalities
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After completing 60% of the trip, they stopped at a gas station. They had traveled 216 miles. How many miles is the entire trip?
Answer:
Total distance of entire trip in miles = 360 miles
Step-by-step explanation:
Given:
Percent trip completing = 60%
Total distance cover in 60% trip = 216 miles
Find:
Total distance of entire trip in miles
Computation:
Total distance of entire trip in miles = Total distance cover in 60% trip[100%/Percent trip completing]
Total distance of entire trip in miles = 216[100%/60%]
Total distance of entire trip in miles = 21,600/60
Total distance of entire trip in miles = 360 miles
What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?
Answer:
[tex]d = 1.2973\pi r^3[/tex]
Step-by-step explanation:
Given
[tex]R_1 = r[/tex]
[tex]R_2 = 0.3[/tex]
Required
The difference in their volumes
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, the difference d is:
[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]
[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]
[tex]d = \frac{3.892}{3}\pi r^3[/tex]
[tex]d = 1.2973\pi r^3[/tex]
Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere with radius(r) is,
Volume = (4/3)×π×r³
The volume of the sphere with radius (0.3r) is,
Volume = (4/3)×π×(0.3r)³
The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,
Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]
= (4/3)πr³[1-0.027]
= (4/3)πr³(0.973)
= 4.0757r³ unit³
Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
Learn more about Volume:
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4 1/8 take away 1 1/2 mixed numbers
Answer:
21/8 or 2 3/8
Step-by-step explanation:
33/8 - 3/2
33/8 - 12/8=21/8
hope it helps:)
Item 1
The table gives estimated annual salaries associated with two levels of education.
Level of education High school diploma Trade school certification
Estimated annual salary $27,500 $48,000
Based on the table, how much more money would a person with a trade school certification earn than a person with a high school diploma over a 30 year career?
$20,500
$75,500
$82,500
$615,000
Answer:A) 20,500
Step-by-step explanation: because 27,000+48,00=75,00 so you divdie that by 30 and you will get your answer of 20,500
Find an equation of the circle having the given center and radius.
Center (-7, 6), radius 6
Answer:
36 = (x+7)^2 + (y-6)^2
Step-by-step explanation:
6^2=(x-(-7))^2 + (y-6)^2
You decide to study the effects of smoking, drinking and partying on life satisfaction. To do so, you assign people randomly to one of two smoking conditions (smoking or not), one of three drinking conditions (no alcohol, 1 drink per day, several drinks per day) and partying conditions (no partying, 1 hour of partying per day, 2 hours of partying per day). This design has
Answer:
3 factors ; 18 total conditions
Step-by-step explanation:
The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.
For each factor variable, each has a number of different conditions ;
For smoking : 2 conditions (smoking and not smoking)
Drinking : 3 conditions (no alcohol, 1 / day ; several per day)
Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)
Total number of conditions :
(2 * 3 * 3) = 18 conditions
Help on this math question. 25 points.
Answer:
the third one
Step-by-step explanation:
write the sentence as an inequality. a number b is less than or equal to -4 or greater than 0.
Step-by-step explanation:
[tex]0 \leqslant b \leqslant - 4[/tex]
it should look like that
the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?
Answer:
325 boys
Step-by-step explanation:
The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.
Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school
A) 45
B) 120
C)120
D) 60
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
she can buy 5 shirts
help please, asap. i need this done
Answer:
30
Step-by-step explanation:
24/4=6
42/7=6
6 x 5=30
what is the ratio of circles to total shapes
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%What is the area of the figure? Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 (Work the operations in parentheses first.)
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (Divide 50.24 by 2. Do the same for 112.)
25.12 + 56 (Add 25.12 & 56.)
81.12 cm²
The area of the figure is 81.12 cm².
5x^2y + 6x^2y^3 - 3x^3y^2=0
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Meg earns $8 an hour. If she made less than $48 this weekend, how many hours did she work?
Answer:
If she made LESS than $48, then she worked 5 hours. But If she made exactly $48, then she worked 6 hours.
Step-by-step explanation:
MARK ME BRAINLIEST?
The angles below are complementary. Find the value of X
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, - 6) * B * (5, - 6), C(5, - 2) and D(2, - 2) . What the perimeter of rectangle ABCD
Answer:
14 units.
Step-by-step explanation:
Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.
P = 2(l + w)
P = 2(3 + 4)
P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)
P = 14 units and 14 units.
You could also do addition.
P = 3 + 3 + 4 + 4
P = 6 + 8
P = 14 units
Hope this helped!
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form
Answer:
11 and -4
Step-by-step explanation:
Let the required two numbers be x and y
If the sum of two numbers is 7, then
x + y = 7 .. 1
If the difference of their squares is 105, then;
x² - y² = 105 ...2
From 1;
x = 7 - y... 3
Substitute 3 into 2;
(7-y)² - y² = 105
Expand
49-14y+y² -y² = 105
49-14y = 105
-14y = 105 - 49
-14y = 56
y = -56/14
y = -4
Substitute y = -4 into 3
x = 7 - y... 3
x = 7 - (-4)
x = 7+4
x = 11
Hence the numbers are 11 and -4
Regina writes the expression y+9 ∙ 34. Which expression is equivalent to the one Regina writes?
None of these
(9 ∙ 3÷4)+y
(y+9)(3÷4)
9+y ∙(3÷4)
Please help, test due in 1 hour! I will give brainliest! :)
Answer:
Rectangle + half circle ?
Step-by-step explanation:
Answer:
A rectangular prism and half of a cylinder.
Step-by-step explanation:
The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.
For which of the inequalities below is v = 4 a solution?
v plus greater 8
v plus 5 greater or equal than 9
v plus 5 greater than 9
v plus 5 less or equal than 8
Answer:
Option 2, v plus 5 greater or equal than 9
Step-by-step explanation:
For inequality represented by option 2 i.e v plus 5 greater or equal than 9
v+5 >= 9
If we put v =4 in above inequality, we get
4+5>= 9
9>= 9
Hence, option 2 is correct
Answer:
Option 2
Step-by-step explanation:
I'll give points + brainalist please help this is a finals test and I'm on a time limit (:
PLEASE HELP ASAP?!!!!!!
Answer:
It is 15!
Step-by-step explanation:
Therefore the answer is x=15 :)
Write 44/5 as a mixed/whole number.
Write 12/3 as a mixed/whole number.
Write 5/5 as a mixed/whole number.
Write 15/7 as a mixed/whole number.
Write 1/4 as a mixed/whole number.
Answer:
12/3=4
5/5=7
15/7=2+1/7
1/4 is a proper fraction
Only improper fractions can be converted to mixed/whole number
Step-by-step explanation:
What is the order of the following set of numbers from greatest to least? 1 1/3, 2/3, -1/3. 9/5 O 1/3,2/3,9/5, 1 1/3 -1/3.1 1/3, 2/3, 9/5 09/5, 2/3,1 1/3,-1/3 9/5, 1 1/3, 2/3, -1/3
Answer:
11/3, 9/5, 9/5 , 2/3 , 1/3 , -1/3.1 , -1/3
A map has a scale of 1 inch: 3 kilometers. Use the given distance to find the distance on the
map
a) 18 km
b) 76 km
c) 0.5 km
How do you write 20% as a decimal?
Answer:
the answer is 0.20 for 20%
Answer:
[tex] \bf \huge0.2[/tex]
Step-by-step explanation:
Given that :How do you write 20% as a decimal?to find :write in decimal form explanation :finding the decimal form of 20%
⟼ decimal form = 20%
⟼ decimal form = 20/100
⟼ decimal form = 2/10
⟼ decimal form = 0•2
∴ the decimal form of 20% is 0•2 .
