Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
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If you were given the area of a figure and told that all the dimensions of the figure would be cut in half, how could you find the area of the new similar figure?
Multiply the area of the original figure by 4.
Divide the area of the original figure by 1/2 .
Multiply the area of the original figure by 1/2 .
Divide the area of the original figure by 4.
Answer:
multiply the area of the original by 1/2
Step-by-step explanation:
when cutting a shape in half, its area is also halved, but not all dimensions change
Answer:
Divide the area of the original figure by 4.
Step-by-step explanation:
Area of current figure:
A= abArea of new figure:
A'= 1/2a*1/2b= 1/4ab= 1/4ASo the area of the original figure to be divided by 4
Last answer option is correcthelp me out please!!!!
Answer:
Answer (e)
Step-by-step explanation:
Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4. Only Answer (e) corresponds to that. Try letting x = 1. y is zero, correct? Try letting x = -4. y is undefined, correct?
Need Help. Order of operation 1/35 * 1/22 I get a different answer
Answer:
[tex]\frac{1}{770}[/tex]
Step-by-step explanation:
[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]
Answer:
1 / 770.
Step-by-step explanation:
1/35 * 1/22
= 1*1 / 35*22
= 1 / 770.
you have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What is the width of the frame?
Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be w = 2.4 inches.
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer: d) 2.4 inches
Step-by-step explanation:
Let x represent the width of the frame
Then the area of the frame is:
(x + 5)(x + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
x² + 12x + 35 = 69.56
x² + 12x - 34.56 = 0
Use Quadratic Formula to solve for x:
[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]
Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?
Answer:
she spent £270.
Step-by-step explanation:
First, let us define what a ratio of 9:6 means.
when you have a ratio such as this, you have to add both ratios first:
9+6 = 15
This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.
Now let us solve the problem
Savings to spending = 9:6
if total amount = m
ratio saved = 9/15 × m
ratio spent = 6/15 × m
Now total amount (m) = £450
∴ ratio saved = 9/15 × 450 = 4050/15 = £270
Therefore she spent £270.
To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180
On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8 students had to travel in cars. How many students were in each bus
Answer:
40 kids traveled in each bus
hope this helped
Step-by-step explanation:
230- 22= 208
208-8= 200
200÷5 =40
Answer:
40 students road on each bus
Step-by-step explanation:
230-22=208
208-8=200
200÷5=40
What is the simplified expression for 5 a b + 9 a b minus a b?
Answer:
13ab
Step-by-step explanation:
5ab+9ab-ab=ab(5+9-1)=13ab
Factorize x squared - 1x +10 =0
Answer:
no solution exists:
Step-by-step explanation:
x²−1x+10=0
Step 1: Simplify both sides of the equation.
x²−x+10=0
Step 2: Subtract 10 from both sides.
x²−x+10−10=0−10
x²−x=−10
Step 3: The coefficient of -x is -1. Let b=-1.
Then we need to add (b/2)^2=1/4 to both sides to complete the square.
Add 1/4 to both sides.
x²−x+ 1/4=−10+ 1/4
x²−x+ 1/4=−39 /4
Step 4: Factor left side.
(x -1/2)² = −39 /4
Step 5: Take square root.
x −1 /2 =±√ −39 /4
Step 6: Add 1/2 to both sides.
x =−1/2 + 1/2 = 1/2 ±√ -39/4
x = 1/2 ±√ -39/4
No real solutions.
Find the equation of the line shown.
Answer:
y = x+1
Step-by-step explanation:
draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity
Answer:
y = x + 1
Step-by-step explanation:
equation of the line :
y = my + p ; m is the slope and p is the y-intercept.
The line cross the —axis at the point (0,1) then
p = 1
the line passes through (0,1) and (1,2) then
m = (2-1)/(1-0) = 1/1 = 1
conclusion:
y = x + 1
if a man walks for 6 miles at a steady speed of 3 mph how long will it take him
Answer:
It will take 2 hours
Step-by-step explanation:
6/3 = 2
Answer:
2 hours
Step-by-step explanation:
3 miles + 3 miles = 6 miles
1 hour + 1 hour = 2 hours
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Answer:
There are 8 more girls
Step-by-step explanation:
If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.
Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.
LAST QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
2. All of the following constructions start with a line segment except what?
A) constructing a line perpendicular to a point on a line
B) constructing equilateral triangles
Answer:
A) Constructing a line perpendicular to a point on a line
Write the coefficients of x² in each of the following 1) 2+x²+x 2) 2-x²+x³
Answer:
(1) 1 (2) 0
Step-by-step explanation:
Looking at 1) 2+x²+x;
The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.
2) Looking at 2) 2-x²+x³
There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0
Answer:
1) 1 and 2) -1
Step-by-step explanation:
1) 2+x²+x
+x² ⇒ coefficient of x² is 12) 2-x²+x³
-x² ⇒ coefficient of x² is -1What is 9^-53 × 9^37
Answer: 9⁵³ ₓ 9³⁷ = 9⁹⁰
Explanation: 53 + 37 = 90
So our answer: 9⁹⁰
Definitions of ASA SAS AAS, can someone dumb it down plz?
Answer:
Hope this helps.
Step-by-step explanation:
So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.
For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.
For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.
[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]
Therefore, the correct answer is choice B. Hope this helps!
Answer:
I believe it is b
A college's lacrosse team will play 23 games next spring. Each game can result in one of 2 outcomes a win or a loss. Find the total
pos ble number of outcomes for the season record
Answer: 529 possible outcomes
Step-by-step explanation:
You square the number of games as many times as the outcomes (win or loss)
2 outcomes = 23 * 23
23 * 23 = 529
Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.
Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.
Answer:
the answer is d
Step-by-step explanation:
i did whhat the other person said and got it right
Answer:
D
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, ST = 44 feet, and TR = 84 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
[tex]27.6^\circ[/tex]
Step-by-step explanation:
Given:
A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]
ST = 44 feet
TR = 84 feet
To find:
[tex]\angle R = ?[/tex]
Solution:
Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.
Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].
We know that formula for tangent of angle [tex]\theta[/tex] is given as:
[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
Here, Perpendicular for [tex]\angle R[/tex] is side ST and
Base is side TR.
Putting the values in above tangent formula:
[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]
Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.
Answer:
66.1
Step-by-step explanation:
One circle has a diameter of 10 inches. A second circle has a diameter that is twice the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle?
Answer:
[tex]78.54:314.16[/tex]
Step-by-step explanation:
First circle area with diameter 10 inches =
[tex]\pi r^2[/tex]
[tex]\pi \times 5^2[/tex]
[tex]=78.53981[/tex]
Second circle area with diameter 20 inches =
[tex]\pi r^2[/tex]
[tex]\pi \times 10^2[/tex]
[tex]=314.159265[/tex]
[tex]78.53981:314.159265[/tex]
Answer:
78.5 : 314.2
Step-by-step explanation:
Diameter of the first Circle = 10 inches
Diameter of the second Circle = 2(10) [TWICE] = 20 inches
So,
Area of the first circle:
Radius = 5 inches
Area = πr²
A = (3.14)(5)²
A = 78.5 inches²
Area of the second circle:
Radius = 10 inches
Area = πr²
Area = (3.14)(10)²
Area = 314. 2 inches
Now the ratio of the area of smaller circle to the larger circle is
78.5 : 314.2
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
Which graph shows the solution to the inequality –0.5x ≤ 7.5? A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the right of the circle is shaded. A number line going from negative 18 to negative 8. A closed circle is at negative 15. Everything to the left of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the right of the circle is shaded. A number line going from negative 5 to negative 2.5. A closed circle is at negative 4. Everything to the left of the circle is shaded.
Answer:
its definetely A.
Step-by-step explanation:
i got it right on my assignment
Option B is correct that is a closed circle is at negative 15. Everything to the right of the circle is shaded.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
The solution to the inequality –0.5x ≤ 7.5 a closed circle is at negative 15 and everything to the right of the circle is shaded. The graph of the inequality is attached with the answer.
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Find x. 4 square root 3 2 square root 3 8 8 square root 3
Answer:
8
Step-by-step explanation:
[tex]sin \: \alpha = \frac{opp}{hyp} \\ sin \: 30 = \frac{4}{x} \\ \frac{1}{2} = \frac{4}{x} \\[/tex]
[tex] x = 4 \times 2 \\ x = 8[/tex]
Use factoring to solve. *
x^2-4x-12=0
please only give me the right answer I really need it
Answer:
(6, -2)
Step-by-step explanation:
x^2-4x-12=0. 1 from 1x. -4 from -4x
(x - 6)(x + 2) = 0 1 * -12 = -12. -4
x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4
+ 6 +6
x = 6
x + 2 = 0
-2. -2
x = -2
I want help! Please
Pocket allowance of 5 students respectively are:
125, 75, 150, 175, 200
Find out arithmetic mean.
Answer:
145
Step-by-step explanation:
125+75+150+175+200= 725
725÷5=145
Answer:
145
Step-by-step explanation:
(125+75+150+175+200)÷5
725÷5= 145
Find an equation for the line that passes through the points (2, 3) and (-6, 5).
So the answer is -1/4x+3.5, thats the answer ok
A 200 pound person weighs 33 pounds on the moon. Type the answers in the boxes below. 1. How much did the person's weight decrease?By what percentage did the person's weight decrease? Round the answer to the nearest percent.
Answer:
83.5%
Step-by-step explanation:
200-33= 167
167/200=x/100
167/2= 83.5
about 83.5%
Plss brainliest
The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.
What is percentage decrease?Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.
The weight of the person is 200 pound. The person's weighs on the moon is 33.
The person's weight decrease-The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,
[tex]\Delta W=200-33\\\Delta W=167[/tex]
The percentage did the person's weight decrease-The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,
[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]
Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.
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Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it
Answer: Are you in summer school pfft
Step-by-step explanation: I won’t help you cheat
Find n so that C(n, 3) = P(n, 2).
Answer:
n = 19/6
Step-by-step explanation:
Formula for C(n,r) = n!/(r!(n-r)!)
C(n,3) = n! /( 3! * (n - 3)!)
Formula for P(n,r) = n!/(n-r)!
P(n,2)= n!/(n-2)!
C(n, 3) = P(n, 2)
n! /( 3! * (n - 3)!) = n!/(n-2)!
[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply
n!(n-2)! = n! 3! (n-3)!
(n-3)! = (n-3)(n-2)!
so n!(n-2)! = n! 3! (n-3)! becomes
n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!
1 =6(n-3)
1 =6n -18
19 = 6n
n = 19/6
Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!
Answer:
w=6, x=7, t=7, n=90, w=15/2
Step-by-step explanation:
a) 5w = 30
30/5 = 6
w=6
b) 3x-5=16
Add 5 to each side.
3x+5=16+5
3x=21
21/3=7
x=7
c) 10-t=17
10-t=17
17-10-7
-t=-7
Negative and a negative is a positive.
t=7
d) n/5 = 18
n=18 * 5
n=90
e.) 4w-12=2w+3
4w=2w+3+12
4w=2w+15
4w−2w=15
2w=15
w= 15/2
