Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the inequality
[tex]3x-4y>5[/tex]
All we need is to find any random value of 'x' and then solve the inequality.
For example, putting x=3
[tex]3\left(3\right)-4y>5[/tex]
[tex]9-4y>5[/tex]
[tex]-4y>-4[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-4y\right)\left(-1\right)<\left(-4\right)\left(-1\right)[/tex]
[tex]4y<4[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4y}{4}<\frac{4}{4}[/tex]
[tex]y<1[/tex]
So, at x = 3, the calculation shows that the value of y must be less
than 1 i.e. y<1 in order to be the solution.
Let us take the random y value that is less than 1.
As y=0.9 < 1
so putting y=0.9 in the inequality
[tex]3\left(3\right)-4\left(0.9\right)[/tex]
[tex]=9-3.6[/tex]
[tex]=5.4[/tex]
As 5.4 > 5Means at x=3, and y=0.9, the inequality is satisfied.
Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.
Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?
Answer:
there are 120 apples in each basket and 5 are left over
Step-by-step explanation:
Which is a point 6units to the left of 4
Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?
20 POINTS IF YOU ANSWER! NEED HELP ASAP
The two kids next to your locker are arguing over who got the better deal on the new cell phone plan billy pay $30 for his new phone and only pays $12.50 each month with free texting Annie got her new phone for free in only pays $20 a month how many months will both billy Annie have paid the same amount for the new cell phone plans you must write and solve an equation
Answer:
They will both have paid the same amount after 4 months
Step-by-step explanation:
Assume that they will pay the same amount after x months
∵ Billy pays $30 for his new phone
∵ He only pays $12.50 each month
→ Find how much he will pay in x month
∴ He will pay → 30 + 12.50x
∵ Annie got her new phone for free
∵ She only pays $20 a month
→ Find how much she will pay in x month
∴ She will pay → 20x
∵ They will pay the same amount
→ Equate their expressions above
∴ 20x = 30 + 12.50x
→ Subtract 12.50x from both sides
∵ 20x - 12.50x = 30 + 12.50x - 12.50x
∴ 7.50x = 30
→ Divide both sides by 7.50
∴ x = 4
∴ They will both have paid the same amount after 4 months
Evaluate expression using the order of operations. 17 − 5 ⋅ 4 ÷ 2
Answer:
7
Step-by-step explanation:
5x4=20
20/2=10
17-10=7
Answer:
your answer is 7
Step-by-step explanation:
17-5×4÷2
P- parenthesis
E- Exponents
M- Multiplication
D- Divide
A- Add
S- Subtract
Find the lengths of all 3 sides of each triangle.
Answer:
GH=45
HJ=81.6
GJ=53.4
Step-by-step explanation:
hope i helped <3
pls help answer quick and do NOT WASTE MY POINTS
Answer:
points waisted
Step-by-step explanation:
Answer:
Yeah its parallel
Step-by-step explanation:
I would waste your points, but nah. Anyways, its parallel
please help!!(GIVING BRAINILEST) Which number line shows the solution of -3x+6>12?
Answer:
The answer is D
Step-by-step explanation:
Answer: C
Step-by-step explanation:
−3x + 6 > 12
Move all terms not containing x to the right side of the inequality.
Subtract 6 from both sides of the inequality.
−3x > 12 − 6
Subtract 6 from 12.
−3x > 6
Divide each term by −3 and simplify.
Divide each term in −3x > 6 by −3. When multiplying or dividing both sides of an i nequality by a negative value, flip the direction of the inequality sign.
(-3x/-3)<(6 /-3)
Cancel the common factor of −3.
Divide 6 by −3.
x < −2
( − ∞ , − 2 )
YOU GET BRAINLIEST IF CORRECT Kipton then takes off the jellybeans and puts on 10 brand-new pink erasers. The scale reads 312.4 grams. How much would you expect 1,000 pink erasers to weigh? Why?
Answer:
Task
Kipton has a digital scale. He puts a marshmallow on the scale and it reads 7.2 grams. How much would you expect 10 marshmallows to weigh? Why?
Kipton takes the marshmallows off the scale. He then puts on 10 jellybeans and then scale reads 12.0 grams. How much would you expect 1 jellybean to weigh? Why?
Kipton then takes off the jellybeans and puts on 10 brand-new pink erasers. The scale reads 312.4 grams. How much would you expect 1,000 pink erasers to weigh? Why?
IM Commentary
The purpose of this task is to help students
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left (5.NBT.1)
By setting the task in the context of weighing objects and bundles of 10, 100, and 1,000 objects, it helps students visualize that bundling 10 units of a given place value will create 1 unit of the next highest place value. For example, taking 10 of an item that weighs 4.2 grams will result in 42 grams because it is 10 groups of 4 grams that weights 40 grams all together, and 10 groups of 0.2 grams that weigh 2 grams all together. The task allows students to explore both the structure of our place value system and how we use that to efficiently multiply and divide powers of 10.
Though this task is written as questions to be discussed or answered by students, the parts of this task are most valuable as a set of scenarios to be infused throughout a unit on place value. The teacher can actually bring in a digital scale and go through a series of explorations with students. It might be natural to start with students weighing one object and making predictions about how much 10 or 100 of these objects would weigh. From there, the teacher may want to have students start weighing sets of 10 or 100 objects and work backwards to think about the weight of 1 object.
The digital scale has several advantages: the weight will always appear in decimal form, thereby making it perfect for students to start reasoning about shifts in decimal place value from a more intuitive place. Moreover, the digital scale will not always show the expected answer. For example, something that weighs 3.5 grams alone might weigh 35.4 grams (rather than 35 grams) when taken as a group of 10. This slight difference provides an excellent opportunity to talk about rounding error. It also requires students to think beyond the rules of sliding a decimal point to the right when multiplying by powers of 10.
If students were still developing the rules for multiplying and dividing by powers of 10, this task would also incorporate MP8, Look for and express regularity in repeated reasoning. It also incorporates parts of MP6, Attend to precision, in that a higher-level discussion will push students to reason why one marshmallow might weigh 7.2 grams, but 10 marshmallows might weigh 7.19 grams. See the solution for part (a) for further elaboration.
Solution
Solution:
10 marshmallows should weigh 72 grams. Students might use repeated addition, multiplication or reason that each digit’s place value will be multiplied by a factor of 10:
10×(7+0.2)(10×7)+(10×0.2)70+272===
If students have had practice using digital scales in class, some students might respond with guesses that are close such as 73 grams or 72.4 grams because the original 7.2 grams may have been rounded to the nearest tenth. If, for example, the original actual weight were 7.24 grams, then the weight of ten marshmallows on a scale that rounds to the nearest tenth of a gram would be 72.4 grams.
1 jellybean should weigh 1.2 grams. Students may come to the solution a number of ways.
Students might notice that dividing 12 by 10 could be expressed in fraction form 1210. Students might further reason that
1210=1010+210
or 1.2.
Students might alternately reason that 12÷10 is the same as
(10÷10)+(2÷10)=1+0.2=1.2
Students might also use the rule that they are beginning to develop about sliding the decimal point one place to the left to divide by 10.
1,000 pink erasers should weigh about 31,240 grams. Students may come to the solution a number of ways:
A student might reason that first, it would be necessary to find out what 100 erasers would weigh by multiplying by a factor of 10 and then further multiplying by another factor of 10 to find out what 1,000 erasers would weigh. This is represented by
312.4×10×10
In this solution method, the student reasoned that multiplying by a factor of 10 and then another factor of 10 would be the same as multiplying by a factor of 100:
312.4×10×10312.4×100100×(300+10+2+0.4)30,000+1,000+200+4031,240====
Another student might want to find the weight of a single eraser. If 10 erasers weigh 312.4 grams, then one eraser must weigh 31.24 grams. From there the student could multiply the weight of one eraser by a factor of 1,000:
1000×(30+1+0.22+0.04)30,000+1,000+200+4031,240==
Step-by-step explanation:
You would expect 1,000 pink erasers to weigh 31,240 grams.
If 10 erasers weigh 312.4 grams, and to get 1,000 you multiply by 100, if you multiply 312.4 by 100 you get 31240.
Or if you use rates
[tex]\frac{312.4}{10} =\frac{31240}{1000}[/tex]
(when you multiply by 100)
pls answer will mark brainliest
Answer:
40 square cm
Step-by-step explanation:
Answer:40 square cm
Step-by-step explanation:
solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
Determine whether the equation has no solution, one solution, or infinitely many solutions.
-2(11-12x)= -4( 1 -6x)
Please solve and explain, thank you!
9514 1404 393
Answer:
44 inches
Step-by-step explanation:
The sides of a rhombus are all the same length, so we have ...
AB = BC
3x -4 = 2x +1
x = 5 . . . . . . . . . add 4-2x
Then the side lengths are ...
3x -4 = 3·5 -4 = 11
Four of them total 4·11 = 44 inches.
Solve cos x + √2 = -cos x for x over the interval [0, 2Π)
Answer:
[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Equations
It's required to solve:
[tex]\cos x+\sqrt{2}=-\cos x[/tex]
for [tex]x\in [0,2\pi)[/tex]
Adding cos x:
[tex]2\cos x+\sqrt{2}=0[/tex]
Subtracting [tex]\sqrt{2}[/tex]
[tex]2\cos x=-\sqrt{2}[/tex]
Dividing by 2:
[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]
Solving for x:
[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]
We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.
These angles lie on the quadrants III and IV respectively and they are:
x=135°, x=225°
Converting to radians:
135 * π / 180 = 3π/4
225 * π / 180 = 5π/4
The two solutions are:
[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]
[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]
Answer:
The correct answer is option C
Step-by-step explanation:
The salesman gave me 20% off of my new laptop regularly priced $500. How
much did I save? *
Answer:
100
Step-by-step explanation:
20% of 500 is 100
Answer:
$100
Step-by-step explanation:
20% is the same as 1/5. 1/5 of 500 is 100. Then add dollar signs, and you have your answer.
Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?
So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
Answer: 4
Step-by-step explanation: 4 was the biggest denominator in that equation. so if we multiply by 4 on all the terms, all the denominators will go away. we will not have any more fractions!
Can someone pls help me!!!
Answer:
10 i believe
Step-by-step explanation:
What's the value of 6.7×0.54
Answer:
What's the value of 6.7×0.54
=
3.618
Step-by-step explanation:
Answer:
3.618
Step-by-step explanation:
3.618
GAIQNFKDKER HELP PLZ
Answer:
it's the first answer
Step-by-step explanation:
literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else
Evaluate 3.6x + 4.5y when x=3 and y=7
Answer:
42.3
Step-by-step explanation:
3.6(3)+4.5(7)
10.8+31.5
42.3
Laurie had three $2 off coupons for the mini-golf course, but everybody else had to pay $9 per person, the full price. What was the total cost for their group of 8 to play mini-golf?
A: $51
B:$62
C:$63
D:$66
Answer:
D
Step-by-step explanation:
9x8=71
2x3=6
71-6=66
Answer:
D $66
Step-by-step explanation:
So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9
3×2=6 (which means she can get $6 off of the original price $9.)
9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)
9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)
63+3=66 (So altogether everyone including Laurie is paying $66.)
So the final answer is $66
(I hope this helps you! Have a wonderful day everyone!)
:)
Find the slope and the y-intercept of the graph of y + 1 = x.
Answer: The slope is 4/3
Step-by-step explanation:
Whatever number is attatched to the "x" is the slope.
Answer:
Slope: M = 4/3
Y-Intercept: : (0,−1)
Step-by-step explanation:
''The world shall know pain'' Me: Pain or Pain???????????????
Answer:
PAIN
Step-by-step explanation:
A customer at a store paid $42 for 4 pairs of pants and 3 shirts. At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?
Answer:
The system of Equations:
4x + 3y = 42
x + 7y = 44
Step-by-step explanation:
Let the price in dollars of
each pair of pants = x
each shirt = y
A customer at a store paid $42 for 4 pairs of pants and 3 shirts.
Hence:
4 × x + 3 × y = $42
4x + 3y = 42
At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.
This means he, paid $42 +$2 = $44
Hence:
1 × x + 7 × y = 44
x + 7y = 44
The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is
4x + 3y = 42.... Equation 1
x + 7y = 44..... Equation 2
How many solutions does 1.25x+4=1.00x+6 have
Answer:
One solution which is 8
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Find the missing length of the triangle.
C=_Km
Answer:
c = 29km
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841
[tex]\sqrt{841}[/tex] = 29
So I need help with something so can you explain a coordinates plane
Answer:
sure so quadrant one is top right and its positive positive and quadrant 2 top left and is negative positive quadrant 3 is bottom left and negative negative quadrant 4 is bottom right and its positive negative
Step-by-step explanation:
can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid
Answer:
D is the correct answer
Step-by-step explanation:
The coordinates of the x axis is always listed first.
On the x axis the line was less than one and more than zero leaving the fraction as the only option.
hope it helps
have a great day
:)
Which equation represents the axis of symmetry
for the function y =-4(X+6)* +4?
A X=6
B X=4
C X=-6
X=-4