Solve each two-step inequality and graph the solution set on a number line -17 < 3-5x
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
Given the following question:
[tex]-17 < 3-5x[/tex]
In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.
[tex]-17 < 3-5x[/tex]
[tex]-17 < 3-5x=3-5x > -17[/tex]
[tex]3-5x > -17[/tex]
[tex]3-3=0[/tex]
[tex]-17--3=-20[/tex]
[tex]5x=-20[/tex]
[tex]\frac{5x}{5}=x[/tex]
[tex]20\div5=-4[/tex]
[tex]x < 4[/tex]
When plotting inequalities on the number line keep a few things in mind:
. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.
Hope this helps.
Convert 38 degrees Celsius to degrees Fahrenheit. Round
your answer to the nearest degree
Answer:
100 Fahrenheits.
Step-by-step explanation:
Replace x with 38, we get : 9/5 x 38 + 32 = 342/5 + 32 = 502/5 = 100.4 (round to 100)
Answer:
100.4 degrees Fahrenheit.
Step-by-step explanation:
Which equation represents the graph of f(x) = 4x3 - 3x² + 8x - 6 after a reflection over the x-axis?
Step-by-step explanation:
If we have a function,
[tex]f(x)[/tex]
We can rotate the function across the x axis using the rule
[tex] - f(x)[/tex]
So we have function
[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 8x - 6[/tex]
[tex]f(x) = - ( {4x}^{3} - 3 {x}^{2} + 8x - 6)[/tex]
[tex]f(x) = - 4x {}^{3} + 3 {x}^{2} - 8x + 6[/tex]
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic
feet of water when it is full. Its length is 8.1 ft and its width is 4.1 ft. Find the height of
the water tank in feet. Round your answer to the nearest tenth if necessary.
Answer:
4.1 ft
Step-by-step explanation:
Got it correct on delta 2023
The height of the water tank in feet is 4.1 feet to the nearest tenth.
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
Given that,
A water tank is built in the form of a right rectangular prism and it can hold 136 cubic feet of water.
Volume of the tank = 136 feet³
Length, l = 8.1 feet
Width, w = 4.1 feet
The formula to find the volume of a rectangular prism is,
Volume = l × w × h, where h is the height of the tank.
Substituting,
8.1 × 4.1 × h = 136
h = 136 / (8.1 × 4.1)
h = 4.095 ≈ 4.1 feet
Hence the height of the tank is 4.1 feet.
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Cybernaut Industries is buying back bonds which have an annual coupon payment of $300. The coupon was paid just 92 days earlier. How much accrued interest from the coupon payment will Cybernaut have to pay on each bond?
Answer:
$75.62
Step-by-step explanation:
Assuming exact interest is computed on each bond, interest will have accrued for 92 of 365 days between payments. The interest due on each bond is ...
(92/365)($300) ≈ $75.62
Please help me I've been stuck on this for days now and I can't get an answer now my last choice is brainly Guy please help me
Answer:
you have to earn great to be great
6th Grade Math, Help Please! (Adding and Subtracting Rational Numbers)
HELPPPPPPP PLEAAASEEEEE
Answer:
6.8
Step-by-step explanation:
8÷3+7.5+3=8.0.hence 5× 5×1=5+3=8÷3+7.5+-3×1=-3+6=3. 5+8+7.5+-3+3=6.8.
explain how u can use straight angles to find m tpv
Answer:
A straight angle changes the direction you are pointing in. A straight angle looks like a straight line. It has an angle measurement of 180 degrees. Straight angles can be composed of several angles, as long as the angles add up to 180 degrees.
Step-by-step explanation:
Answer: Angles on a straight line add up to 180°.
Step-by-step explanation:
what is 31.75 times 1000
Answer:
31750
Step-by-step explanation:
Answer:
31750
Step-by-step explanation:
31.75 add a 0 and take of the point and you get your answer
if a smaller square of side 3 cm is cut out from a bigger square of side 9 cm to form a new shape ,What is the perimeter of the new shape formed?
Need to find:
Perimeter of new square formed?[tex]~[/tex]
Solution:
Side of smaller square = 3cm.Side of Bigger square = 9cm[tex]~[/tex]
Using formula:
Perimeter of square = 4 × side[tex]~[/tex]
Perimeter of smaller square:
⟹ 4 × 3
⟹ 12 cm
[tex]~[/tex]
Perimeter of Bigger square:
⟹ 4 × 9
⟹ 36cm
[tex]~[/tex]
Perimeter of new square = Perimeter of Bigger square - Perimeter of smaller square
⟹ 36 - 12
⟹ 24 cm
[tex]~[/tex]
∴ Perimeter of new square formed is 24 cm.
Simplify the expression:
3x4x5+1b
Answer:
60+1b
Step-by-step explanation:
Multiply the numbers without variables:
3x4=12
12x5=60
Next put the equations together:
60+1b
Hence, the correct answer is 60+1b
Answer:
60+1b
Step-by-step explanation:
3x4=12
12x5=60
So, your final equation is 60+1b
PLEASE HELP ME PLEASE
Answer:
To find the area of a rectangle we use the formula:
L x W
Replace those with it's actual value
4 3/4 x 3
19/4 x 3 = 14.25, 14 square inches is the area
What is the
slope of a line that is parallel to the line
shown on the graph?
Answer:Parallel lines have the same slope. Thus, the slope is 5. Find the equation of the line parallel to the line graphed that passes through the point (1,1).
Having trouble on this question.
Can anyone help?
Answer:
-12, 2
Step-by-step explanation:
X may be on the left of W, then X = -5 - 7 = -12
X may be on the right of W, then X = -5 + 7 = 2
Answer:
Locations of X: 2, -12
Step-by-step explanation:
We know that W lies at -5. To figure out where the other X's are located, you need to do -5 ± 7, since the range is 7.
So let's first try -5 + 7:
-5 + 7 = 2
The first location of X can be at 2.
Now let's try -5 - 7:
-5 - 7 = -12
The second location of X is -12.
So, the answer is that X is located at 2 and -12
PLEASE HELP ME WITH KHAN QUESTION
( I will give brainliest )
Answer:
Ok sure where is it?? The Khan Question
how to express 3 ones and 8 tenths as a decimal??
Answer: am I don't know sorry i really need the points but i thing 3 can go in 8 1 time 0.38
Step-by-step explanation:
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
Secant
Cosine
Tangent
Sine
Answer:
Cosine
Step-by-step explanation:
Cosine is defined as:the ratio of the length of the leg adjacent to the angle and the length of the hypotenuse Hypotenuse- the side opposite the right angle in a right triangle Law of Cosines- a set of relations in trigonometry that helps to solve oblique triangles.
Jessie saw the label of a box indicating that they are 50 packs of groceries inside it.Each pack of groceries weights 1 kg.
a.How many g does each pack of groceries weight?
Answer:?
b.What is the total weight in kg of the box.
Answer:?
c.What is the weight of the box in g?
Answer:?
Pls help me !! Thanks
Answer:
B. 260
Step-by-step explanation:
perimeter of a rectangle is 2w+2l which when u plug in the values is 260
In your own words, how can we check that two polygons are congruent?
Step-by-step explanation:
If we can apply rigid transformations to the polygon for example, rotating the polygon, Translating the polygon, or reflecting the polygon , and we get a new image of A ppolygon, then the polygon will be congruent.
The dimensions of a rectangle are 3 1/5cm by 5 5/6cm. What is the area of the rectangle?
A) 9 1/30 cm
B) 12 3/8 cm
C) 18 2/3 cm
D) 21 3/4 cm
Shopping at super sales day, martha buys her children 3 shirts and 2 pairs of pants for $85.50. She returns during the sale and buys 4 shirts and 3 more pairs of pants for $123. what was the sale price of the shirts and pants?
Answer:
Shirt costs $10.50, pants cost $27Step-by-step explanation:
Set equations as follows3s + 2p = 85.54s + 3p = 123Solve the system by eliminationMultiply the first equation by 4 and the second one by 3 and subtract equations
4(3s + 2p) - 3(4s + 3p) = 4(85.5) - 3(123)12s + 8p - 12s - 9p = 342 - 369- p = - 27p = 27Find the value of s
3s + 2*27 = 85.53s + 54 = 85.53s = 85.5 - 543s = 31.5s = 31.5/3s = 10.5how do you graph 5+1.50t on a graph paper
I got this from M~thw~y, (those lines are supposed to be the letter A, it is censored) it's a very helpful website!
Hope I could help~ have a good night/day :]
Olivia purchases gift for her mom and grandma for Mother's Day the first is a pair of sunglasses for $16.35and the second is a bracelet her total is $39.75 how much did she spend on the bracelet
Answer:
$23.40
Step-by-step explanation:
Since we know that the pair of glasses is $16.35 and the total of both the items is $39.75, we have to subtract the costs to get the cost of the bracelet. (39.75-16.35) Take your time to subtract and the answer is 23.4. Since we are dealing with money, make sure to add a 0 after the 4, there has to be 2 digits in money after the decimal point and if needed add the dollar sign.
10. DIG DEEPER! A muffin tray has
6 molds. Each mold holds
60 milliliters of batter. You make
184 milliliters of blueberry batter
and 145 milliliters of banana batter.
Do you have enough batter to fill
the tray? Explain.
Keith served ice cream to his 3 children.He gave each child
4 2/3 onces.How many onces did he served altogether?
Answer:
14 ounces!
Step-by-step explanation:
It's actually quite simple, it's easy too overlook these questions but don't worry, I will help
All you really have to do is count up, what I do is temporarily forget about the fractions I focus on the main number (which in this case is 4) you want to times 4 by the amount of children so (3) 4×3=12
Now the fraction part, all you have to do is count up! 2/3, then 3/3 then 1 1/3 then 1 2/3 then 2!
Now add the original number by the result of the fraction number so 12+2= 14!
Please help me!!!!!! I will give brainliest!!!!! Fast!!!!!7 students from a class of 10 are going to be chosen to be on the dance committee. Find the number of different 7-person committees that can be made
Answer:
5040
Step-by-step explanation:
7*6*5*4*3*2*1=5040
The correct number of different 7-person committees that can be made is,
⇒ 5,040
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
7 students from a class of 10 are going to be chosen to be on the dance committee.
Hence, the number of different 7-person committees that can be made is,
⇒ 7!
⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1
⇒ 5,040
Thus, The correct number of different 7-person committees that can be made is,
⇒ 5,040
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The original price of a computer game is 45$ The price is marked down by 18$ what percent of the original price is the markdown?
Answer:
$27
Step-by-step explanation:
$45 - $18 = $27
Percentage 150% (27 divided by 18 = 1.5, shift the decimal right two times and add the zero at the end which gives you 150%)
Keshawn thinks that the graph of a function f(x) and its inverse f -1 (x) will always intersect. Give a counterexample to disprove his statement
you are asked by your mother to help her prepare food packs for your sister birthday when you counter the food packs there we're only 36 packs when your sister is infecting 53 guess what percentage of the total food packs has been prepared what percent is needed to be packed to complete it
Answer:
completed packing: 67.9245%
not done yet: 32.0755%
Explanation:
given:
36 has been packed.total inviting 56 guestsnot done: 53 - 36 = 17 packagessolve:
[tex]\sf \dfrac{36}{53} *100[/tex]
67.9245%
67.9%
67.9% of the packaging has been done.
Not been ready: [ total shall be 100% ]
100% - 67.9245%
32.0755%
32.1%
32.1% needs to be packed in order to complete packaging.