Step-by-step explanation:
[tex]50 \geqslant 15x \\ \\ \implies \: \frac{50}{15} \geqslant x\\ \\ \implies \: \frac{10}{3} \geqslant x \\ \\ \therefore \: x \leqslant \frac{10}{3} \\ thus \: \{x \: | \: x \leqslant \frac{10}{3} \} \: is \: the \: correct \: \\ solution \: set.[/tex]
The correct solution set of 50 ≥ 15x is {x | x ≤ 10/3 }.\
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given that the expression;
50 ≥ 15x
We can add subtract the 15x - 50 of both sides,
⇒50 - 15x - 50 ≥ 15x -15x - 50
⇒50 - 15x - 50 ≥ 15x -15x - 50
⇒ - 15x ≥ - 50
Now we multiply by -1 ,after this process inequality symbol must be reversed
⇒ 15x ≤ 50
Divide by 50 on both sides,
⇒ 15x / 50 ≤ 50 / 50
⇒ 3x/10 ≤ 1
⇒ x ≤ 10 /3
Therefore, the solution set is {x | x ≤ 10/3 }
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What is(-1,-4), (1,4)
Answer: If it is on a coordinate plane, (-1,-4) would be in quadrant 3. (1,4) would be in quadrant one.
Step-by-step explanation:
quadrant 1 is both positive numbers (both the x and the y axis).
quadrant 2 is when the x axis is negative and the y axis is positive.
quadrant 3 is when both the x and y axis is negative
quadrant 4 is when the x axis is positive and the y axis is negative.
how would I solve y-8+3(y+4)
Answer:
y-8+3y+12
4y+4
Step-by-step explanation:
y-8+3y+12
4y+4 is your answer
Find the greatest common factor of 8n" and 12m?
Answer:
4
Step-by-step explanation:
Factor of 8n = 2x2x2n
Factor of 12m = 2x2x3m
GCF = 2x2 = 4
which of the following are perfect squares? check all that apply
21
18
1
81
100
72
Answer:
1,81, AND 100
Step-by-step explanation:
A PERFECT SQUARE IS A NUMBER THAT WHEN YOU MULTIPLY A NUMBER BY ITSELF, YOU WILL GET THAT NUMBER
1*1=1
9*9=81
10*10=100
What is 85/507 simplified?
Answer:
You cant Simplify it an further
Answer:
0.1676
Step-by-step explanation:
What is the measure of ∠x?
Answer:
139
Step-by-step explanation:
Substract 41 from 180 assuming line LN is a straight line. the angles are supplementary
5×8×4
_____ =
3
What is the answer?
Answer:
160
Step-by-step explanation:
The difference between two numbers is 52 .Five times the smaller is equal to 4 more than the larger. What are the numbers?
The larger number is 66 and the smaller number is 14.
Step-by-step explanation:
Let,
The larger number = x
The smaller number = y
According to given statement;
x-y=52 Eqn 1
5y = x+4 Eqn 2
From Eqn 2
x = 5y-4 Eqn 3
Putting value of x from Eqn 3 in Eqn 1
[tex]5y-4-y=52\\4y=52+4\\4y=56[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{56}{4}\\y=14[/tex]
Putting y=14 in Eqn 3
[tex]x=5(14)-4\\x=70-4\\x=66[/tex]
The larger number is 66 and the smaller number is 14.
Keywords: linear equation, substitution method
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What is a division expression for Two bottles of juice are divided equally among six people.
2 bottles divided by 6 people = 2/6 which equals 1/3.
celine mixes raisins and peanuts to make a snack. she uses 0.75 cup raisins for every 0.5 cup peanuts. write a proportion and use it to find the number of cups of raisins she uses if she uses 4.25 cups of peanuts
Answer:
6.375 cups of raisins
Step-by-step explanation:
The ratio of raisins to peanuts is 3:2. This is because 0.5 divided by 2 and then multiplied by 3 is equal to 0.75.
So to find the number of raisins we need to divide the number of peanuts by 2 and then multiply it by 3:
(4.25 ÷ 2) × 3 = 6.375
Answer:
Step-by-step explanation: they both equal 2x + 4
2x + 4=2(x + 4)
2x + 4= (2 X x) + (2 X 4)
2x + 4= 2x + 4
What is 1/3 divided by 5/6?
Please help me don’t get it
Answer:
=0.4
Step-by-step explanation:
1/3= 0.33
5/6=0.83
Then: 0.33/0.83 = 0.4
You can also do 6/15 which results from (1*6)=6 and (3*5)=15
Definition: This is the term in a polynomial without a variable.
Example: -6 in the expression 2x + 3y - 6 .
A term with no variables is a constant term. Negative six is the constant in that because it does not have a variable like the other numbers.
Answer:
Constant Term
Step-by-step explanation:
Factor the expression below. x^2+9x+8
Answer:
(x + 1)(x + 8)
Step-by-step explanation:
Given
x² + 9x + 8
Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 9)
The factors are + 1 and + 8, since
1 × 8 = 8 and 1 + 8 = 9, thus
x² + 9x + 8 = (x + 1)(x + 8)
Is 2(3a-2)+4a equivalent to 10a-2
After simplifying the expression 2(3a-2)+4a, we get 10a-4, which is not equivalent to 10a-2 due to a difference of 2.
Explanation:To determine if the expression 2(3a-2)+4a is equivalent to 10a-2, we must simplify the former expression.
First, distribute the 2 into the parenthesis: 2 × 3a is 6a, and 2 × -2 is -4. So we get 6a - 4.
Next, we add the 4a that is outside the parenthesis to the 6a we got after distribution: 6a + 4a equals 10a.
Now we have 10a - 4. This is close to 10a-2 but there is a difference of 2. Therefore, the two expressions are not equivalent.
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jada's bedroom is rectangular. it has a perimeter of 52 feet. the length of her room is 14 feet. what is the width
Answer:
12 feet
Step-by-step explanation:
Perimeter=all 4 sides added up
So perimeter=14+14+w+w, if w is width
52=28+2w
24=2w
w=12
Can someone answer this question please answer it correctly and show work please
Answer:
First Problem: $50.15
Second Problem: $20,468
Step-by-step explanation:
First Problem: If the original price is $41.00 and the discount is $6.15
41.00 - 6.15 = $34.85 is the discounted price
34.85 / 41.00 = 0.85 -> this shows the amount that you pay from the original price
So if the other product costs $59.00 you just do 59.00 * 0.85 = $50.15
This shows that %85 of the original cost is what you pay.
Second Problem: So, the first amount sold is 160 tickets and the price for each ticket is $59.50.
160 * $59.50 = $9,520 for the afternoon batch
If they sold %15 more in the evening that means that they sold 160 tickets plus another %15 of the 160.
160 * 1.15 = 184 tickets sold in the evening
184 * $59.50 = $10,948 for the evening batch
So they sold a total of $9,520 + $10,948 = $20,468
Answer:
44) $50.15
45) $20,468
Step-by-step explanation:
44) $ off sweater = 6.15
41.00 - 6.15 = 34.85
6.15 ÷ 41.00 = 0.15 = 15% discount
$59.00 - 15%
$50.15
45)
Afternoon = 160 tickets
Evening = 15% more = 160 + 15% = 184 tickets
160 + 184 = 344 tickets total
344 * $59.50 = $20,468
Hope this helps :)
HELPPP PLEASEE
QUICKK
Answer:
i forgot
Step-by-step explanation:
Given: marked, PQ=8
PR=2x, TU=2z+3, ST=5z
Find: PR and ST
Answer:
PR=8; ST=5
Step-by-step explanation:
Find PR:
PQ=PR
8=2x
x=4
PR=2x=2(4)=8
Find ST:
TU=ST
2z+3=5z
3=3z
z=1
ST=5z=5(1)=5
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
Answer: 25 percent of the class did not pass
Step-by-step explanation:
1) The figure at the top is a parallelogram; the area is A = bh; where b is the base and h is the height; use properties of special right triangles to find h, and the area of the parallelogram
a) Read the problem once and state what is the problem about?
Answer:
[tex]10 \sqrt{3} {cm}^{2} [/tex]
Step-by-step explanation:
The area of a parallelogram is A=bh.
From the diagram, the base is b=5m
We now use the properties of 30°-60°-90° right angle to find h.
The sides of this triangle is given by x,½x,½x√3
Where x is 4
Therefore we have 4,2, 2√3
So we have h=2√3m
The area now is
[tex]A = 5 \times 2 \sqrt{3} = 10 \sqrt{3} {cm}^{2} [/tex]
a)The problem is about finding area of a plane figure
Complete this statement 0.743 mL = ?L
A 743
B 74.3
C 0.000743
D 0.0743
Answer:
C. 0.000743 LStep-by-step explanation:
[tex]1\ L=1,000\ mL\Rightarrow1\ mL=\dfrac{1}{1,000}\ L=0.001\ L\\\\0.743\ mL=0.743\cdot0.001\ L=0.000743\ L[/tex]
a and b questions answers
Answer:
1.a. it takes him 0.5 seconds to reach his max height.
.b. The highest point that he reached is 484 feet.
-16×(0,5)^2+16×(0,5)+480=484
What is the answer? If 45 x 36 +62=72%
Brittany graphs the plot (6,3) on a coordinate grid. Which describes where she should plot the point if she starts at the origin
If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.
Brittany graphs the plot (6,3), she should move 6 units to the right then 3 units up.
What is the plot?A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.
How to solve?
If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right and then 3 units up. This is a location where she should plot the point.
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Jacqueline wants to make as many identical bouquets as possible using all flowers she has. What is the biggest number of such bouquets can be made out of 42 carnations, 36 tulips and 54 daffodils?
Answer:
6
Step-by-step explanation:
This is a disguised GCF problem. If Jacqueline wants to use all the flowers she has, she must find the greatest common factor of the their numbers.
1. Determine the prime factors of each number and mark those that are common
The prime factors of 42 are 2 × 3 × 7 = 42
The prime factors of 36 are 2 × 2 × 3 × 3 × 3 = 36
The prime factors of 54 are 2 × 3 × 3 × 3 = 54
2. Multiply the common factors
The common prime factors of 42, 36. and 54 are 2 and 3.
The greatest common factor is 2 × 3 = 6.
Jacqueline can make six bouquets, and each will contain seven tulips, six carnations, and nine daffodils.
Answer: The answer is 6
Step-by-step explanation:
How many yard will the snail have moved in half an hour
Answer:25yards
Step-by-step explanation:
Answer:
2.075
Step-by-step explanation:
ok so if a nail can only go 0.025 it 1 day is 200m cut into 24 if 8.3 cut in half gives u the answer
Write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y=-5x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=-5(x-2)
y+9=-5x+10
y=-5x+10-9
y=-5x+1
The linear equation that passes through the point (2, -9) with a slope of -5 is y = -5x + 1.
To find the linear equation, we use the point-slope form of a line, which is:
y - y₁ = m(x - x₁)
Here,
m is the slope and (x₁, y₁) is a point on the line.
Given:
Slope (m): -5Point (x₁, y₁): (2, -9)Substitute the values into the point-slope form equation:
y - (-9) = -5(x - 2)
Simplify the equation:
y + 9 = -5(x - 2)y + 9 = -5x + 10y = -5x + 10 - 9y = -5x + 1So, the linear equation in slope-intercept form is y = -5x + 1.
5x+17+9x+23=180 solve for x
Answer:
x=10
Step-by-step explanation:
First combine like terms:
14x + 40 = 180
Second subtract 40 from both sides:
14x = 140
Third divide both sides by 14:
x = 10
What is 8/27 to the simplest form
Answer:
8/27 is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Seven times a number plus three times another number equals negative one. The sum of the two numbers is negative three. What are the numbers’?
Answer:
ur numbers are 2 and -5
Step-by-step explanation:
7x + 3y = -1
x + y = -3......x = -3 - y
7(-3 - y) + 3y = -1
-21 - 7y + 3y = -1
-7y + 3y = - 1 + 21
-4y = 20
y = -20/4
y = -5 <====
x = -3 - y
x = -3 - (-5)
x = -3 + 5
x = 2 <====
Answer: The numbers are 2 and -5
Step-by-step explanation:
7x+3y=-1 ...(equation 1)
x+y=-3 ...(equation 2)
x+y=-3
Broken down, we have x=-3-y
Substitute x=-3-y into equation 1
Then we have 7(-3-y) +3y=-1
Which is -21-7y+3y=-1
which is -21-4y=-1
-4y=-1+21=20
y=-20/4=-5
y=-5
Substitute y=-5 into equation 1
x+y=-3
x-5=-3
x=-3+5=2
x=2