Solve the inequality. Graph the solution.
5(g+ 4) > 15
The solution is
Answers
Answer:
5(g+4)>15
5g+20>15
5g>15-20
5g>-5
g>-1
The solution to the inequality 5(g + 4) > 15 is g > -1 and graph of the inequality is given in attachment.
To solve the inequality 5(g + 4) > 15, follow these steps:
Distribute the 5 to both terms inside the parentheses:
5g + 20 > 15
Subtract 20 from both sides of the inequality:
5g > 15 - 20
5g > -5
Divide both sides of the inequality by 5 to isolate g:
g > -1
To graph the solution, you can represent it on a number line.
Plot an open circle at -1 (since it's not included in the solution) and shade the region to the right of -1 to represent all the values of g that are greater than -1.
Therefore, the solution to the inequality is g > -1.
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A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to triple its depth under the surface of the ocean. The fish dives to a depth of −51 feet.
What is the position of the scuba diver relative to the surface of the ocean?
Choose from the drop-down menu to correctly complete the statement.
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23 ; Below
Step-by-step explanation:
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What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
9514 1404 393
Answer:
1/4
Step-by-step explanation:
The slope can be found using the slope formula with the two left-most marked points:
m = (y2 -y1)/(x2 -x1)
m = (6 -5)/(0 -(-4)) = 1/4
The slope of the line is 1/4.
A linguistics expert is interested in learning about the amount of time people in his industry spend studying a new language. A random sample of 15 people in his industry were surveyed for a hypothesis test about the mean time people studied a new language last year. He conducts a one-mean hypothesis test, at the 10% significance level, to test the recent publication that the amount of time people in his industry are studying a new language was 30 minutes per week.
df t0.10 t0.05 t0.025 t0.01 t0.005
...... ... ... ... ... ...
1313 1.350 1.771 2.160 2.650 3.012
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Determine the critical value(s) using the partial t−table above.
Answers
Answer:
Step-by-step explanation:
1.761
Write a quadratic equation with 3/2 and 1/4 as its roots. Write the equation in the form ax2+bx+c=0, where a, b, and c are integers. PLEASE HELP AND SHOW ALL YOUR WORK ILL MARK BRAINLIEST
Answers
Answer:
8x^2 -14x +3 = 0
Step-by-step explanation:
The sum of the roots is (3/2) +(1/4) = (6/4 +1/4) = 7/4.
The product of the roots is (3/2)(1/4) = 3/8.
The quadratic can be written as ...
x^2 -(sum of roots)x +(product of roots) = 0
x^2 -7/4x +3/8 = 0
Multiplying by 8 makes all of the coefficients be integers:
8x^2 -14x +3 = 0
Question 3 (1 point)
If you deposit $400 into an account that offers a 5% interest rate. How much
interest will you earn after 1 year?
$20
$350
$160
$2
Question 4 (Mandatory) (1 point)
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HELP!! PLEASE!
Write a function rule for the given situation. Give both the algebraic rule and the function rule.
Answers
Answer:
[tex]y=20x[/tex]
We know that the slope is 20 in this situation, as we can tell that 20 gallons are used every time the dishwasher is ran, therefore, everytime y increases by 1, x will increase by 20. Since the problem starts at the origin (0, 0), there is no y-intercept, so we don't have to worry about that.
If (x+3/2)^2=49/4, what could be the value of x?
Answers
Answer:
X= 2, -5
Step-by-step explanation:
Take the root of both sides
Answer:
-5
Step-by-step explanation:
triangle jkl is an isosceles triangle and line jk is ≅ kl.
JK = 2x+3, and KL = 10-4x. What is the perimeter of triangle JKL?
Answers
Answer:
it is okay to be jejsjsjeI am to
If a 30lb dog gets 1/4 teaspoon of medicine, how much will an 8lb dog get?
Answers
Answer:
1/15 teaspoons
Step-by-step explanation:
30 lb/8 lb = 0.25/x (cross multiply)
(8 * 1/4) / 30 =
8/4 / 30 = 1/15 teaspoons
Simplify: 7p + 20 – 13q – 4q – 18 + 6p A. 13p + 17q – 2 B. 13p – 17q + 2 C. 3q + 38 D. 3q – 6
Answers
Answer:
13p - 17q + 2 (Option B)
Step-by-step explanation:
[tex]7p + 20 - 13q - 4q - 18 + 6p[/tex]
Step 1) Arrange all like terms.
[tex] = > (7p + 6p) + ( - 13q - 4q) + (20 - 18)[/tex]
Step 2) Add/substract all those like terms and you're done.
[tex] = > 13p - 17q + 2[/tex]
How many gallons are in 20 quarts?
1 gallon = 4 quarts
Answers
Answer:
5 gallons
Step-by-step explanation:
20/4=5
work out angle bxc. give a reason for each angle you work out
Answers
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
A package of 16 hotdogs weighs 2 lb. 8oz. What is the weight of each hotdog? Give your answer in ounces
Answers
16+16+8=40oz
40oz/16 hotdogs= 2.5
Each hotdog weights 2.5 oz
Answer:
2.5 oz
Step-by-step explanation:
Convert 2.8 lb to oz. This is 40 oz. Now divide 40 oz by 16. You should get 2.5 oz.
I am 99% sure this is correct.
Hope it helps!
if ∆ACB ≅ ∆DCE, ∠ABC=61°, ∠BCA=57° and ∠CDE=2x
Answers
ABC=CDE when ABC=61 then CDE=2X 2X=61 --> X=61/2=30.5
The value of x would be equal to 30.5
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
We are given that if ∆ACB ≅ ∆DCE,
∠ABC=61°,
∠BCA=57°
∠CDE=2x
Therefore,
ABC = CDE
then CDE = 2X
2X = 61
X=61/2
X =30.5
Hence, the value of x would be equal to 30.5
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John bought a recliner priced at $500, which was financed for $30 a month for 24 months. What is the total
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Answers
Answer:
$720 total cost $220 finance
Step-by-step explanation:
30x 24= $720 total. 720-500= $220 is the finance charge.
:) hope this helped.
The total cost of the recliner is $720 thus the finance charge will be $220.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.
Multiplication = to multiply any two or more numbers or variables called multiplication.
Summation = addition of two or more numbers or variable
As per the given,
Price of recliner = $500
Financed for $30 for 24 months
Total cost = 30 x 24 = $720
Finance charge = $720 - $500 = $220
Hence "The total cost of the recliner is $720 thus the finance charge will be $220".
To learn more about the arithmetic operators,
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The length of a rectangle is a 6 time as long as its breadth (a) what fraction of the perimeter of the rectangle give your answer in its simplest form (b) find the ratio of the length of the rectangle to its breadth to its perimeter (c) the perimeter of the rectangle is 336 cm find the length of the rectangle
Answers
Answer:
Step-by-step explanation:
if L = 6W, then
P = 2L+2W = 12W+2W = 14W
a) 6W/14W = 3/7
b) L:W = 6W:W = 6:1
see a) for L:P
c) 14W = 342.44
W = 24.46
L = 146.76
5 pounds 35 dollars how much for one pound
Answers
Divide total dollars by total pounds:
$35 /5 = $7 per pound
Answer: $7
How many lumps of wax 2½ cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?
Answers
Step-by-step explanation:
first the theoretical maximum number :
the big block is 25cm×20cm×15cm.
so, the volume is 25×20×15 = 7500 cm³
we want to cut this note into pieces of 2.5cm×2cm×1cm with a volume of 2.5×2×1 = 5 cm³
so, we can get 7500/5 = 1500 such lumps out of the big block.
now, a quick check, if we can cut full pieces until the last bit, or if the shape of the big block will not allow us to fully cut it into the desired pieces, and we get some remains (too small to be lumps of the desired size and shape).
and we do this by checking, if each dimension of the big block can be divided by the dimensions of the small lumps without remainder (whole number results).
25 / 2.5 = 10, and no remainder here.
=> 10 cuts of 2.5 cm perpendicular to the length.
20 / 2 = 10, and no remainder here.
=> 10 cuts of 2cm perpendicular to the width.
15 / 1 = 15, and no remainder here.
=> 15 cuts of 1 cm perpendicular to the height.
so, yes, we can achieve the theoretical maximum number of 1500 lumps also in reality and cut the big block without remaining material into these small blocks.
what is 0.5125 rounded to the nearest tenth?
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Have a great day/night :)
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Use this graph of velocity vs. time for two objects to answer the question.
Which statement makes an accurate comparison of the motions for objects C and D?
A. Object C has an acceleration that is greater than the acceleration for D.
B. Objects C and D have different velocities but the same acceleration.
C. Object D has an acceleration that is greater than the acceleration for C.
D. Objects C and D have different accelerations but the same velocity throughout the motion.
Answers
Answer:
Step-by-step explanation:
1.) Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?
ANSWER: mass and acceleration
2.) Use the data table to answer the question. It shows the acceleration of a body when a net force is applied to it.
Net force (N) Mass (kg) Acceleration (m/s2)
5.0 5.0 1.0
10.0 5.0 2.0
20.0 5.0
Which value would complete the last cell?
ANSWER: 4.0
3.) Which statement makes an accurate comparison of the motions for objects C and D?
ANSWER: Object C has an acceleration that is greater than the acceleration for D.
4.) Use the equation for motion to answer the question.
x=x0+v0t+12at2
An object has a starting position of 2 m, a starting velocity of 15 m/s, and is moving at a constant speed. Which option shows the final position of the object after 1 s?
ANSWER: 17 m
5.) The graph of an object's position over time is a horizontal line and y is not equal to 0. What must be true about the object's motion?
ANSWER: The velocity is zero.
hope this helps <33
The model below represents an equation.
2 long x tiles and 3 square 1 tiles = 3 long x tiles
Which represent like terms in the model of the equation?
2 long x tiles and 3 square 1 tiles
2 long x tiles and 3 long x tiles
3 long x tiles and 3 square 1 tiles
1 long x tile and 1 square 1 tile
Answers
Answer:
2 long x tiles and 3 long x tiles are like terms.
Step-by-step explanation:
PLEASE HELP ME I REALLY NEED HELP
Answers
Answer:
mean; 7.55
median: 9
range: 8
mode: 10
standard deviation: 2.9 or 3
Step-by-step explanation:
a) mean: add all numbers and then divide them.. so:
3+9+10+5+8+5+9+11+10+3+10= 83
83 divided by 11 = 83/11 or 7 4/11
b) median: the middle number of the sequence but put in order first.. so:
smallest to largest: 3,3,5,5,8,9,9,10,10,10,11
so then middle number: 9
c) mode: most frequent (popular) figure/number.. so:
most frequent value: 10
d) range: difference between smallest number and largest number
so in this case: 11-3 = 8
e) positive direction
(NOT SURE IF HTESE R CORRECT - IM IN GRADE 9 BTW
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A barn silo, excluding the top, is a circular cylinder. The silo is 14 M in diameter and the height is 28 M Find the volume.
Use 3.14 for
Answers
Answer:
Step-by-step explanation:
Transgender Children A study introduced in Exercise 6.106 examines the age at which transgender adults first experience feelings of gender dysphoria. In the study of 210 adults, the mean age at which they first remember feeling gender dysphoria was 6.6 years old with a standard deviation of 3.5 years. Find a 90% confidence interval for the mean age at which transgender people first begin sensing that they are transgender.
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Answer:
HERESY
Step-by-step explanation:
The distance from Malik's home to a grocery dtore is 6 miles. The distance from his home to a park is 3 3/5 miles. How much farther from Malik's home is the grocery store then the park?
Answers
Answer:
2 2/5
Step-by-step explanation:
i know im right
Sara says, "If you subtract 16 from my number and multiply the difference by - 4, the result is
- 44." What is Sara's number?
Answers
Answer:
21
Step-by-step explanation:
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Answers
Answer:
see the attached figure with letter to better understand the problem
we know that
If triangle ABC is similar to triangle PQR
then
the ratio of the corresponding sides are proportional
so
substitute the values
therefore
the answer is the option C
Step-by-step explanation:
15 apartments on 3 floors = apartments per floor
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Answer:
5
Step-by-step explanation:
15/3=5
Help me for 100 points yessir thanks you
Answers
Answer: 5
Step-by-step explanation:
36 divided by 6 = 6
= 6+3=9
=9-4=5
it makes you have to do the division first instead of doing the add in the BRACKETS.
Answer:5 for the second expression
if the parenthesis are removed you divide, add, and then subtract instead of adding,dividing and subtracting
Step-by-step explanation:
36-6=6. 6+3=9. 9-4=5
the explanation is based on the problems solved
Hope this helped!
Last Tasha a 90 fries in 18 minutes find her fry eating right and fries per minute
Answers
Answer:
5
Step-by-step explanation:
90 fries in 18 minutes. You would divide 90 by 18 to get the answer of 5 fries per minute.
