Answer:
A prime number has only two factors: 1 and itself. A composite number has more than two factors
Step-by-step explanation:
Can i have a thanks?
Simplify (4.5)(5)(−2).
45
4.5
−4.5
−45
Answer:
-45
Step-by-step explanation:
(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
Answer:-45
Step-by-step explanation:(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
Find the two square roots of 9/4?
Answer: 0.75
Step-by-step explanation:
The two square roots of 9/4 is [tex]3/2[/tex].
It is required to find the two square roots of 9/4.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Solution:
Using the principal square root:
[tex]\sqrt{9/4} \\\\=3/2[/tex] and [tex]3/2[/tex].
Hence, the two square roots of 9/4 is [tex]3/2[/tex].
Learn more about square roots here:
https://brainly.com/question/17835631
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(5.1 x 103) • (3.2 x 103)
Answer:
11480.22
Step-by-step explanation:
5.1x3.2 + 5.1x103 + 103x3.2 + 103x103
16.32 + 525.3 + 329.6 + 10609
11480.22
Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D
Answer:
See answer below.
All you have to do is input the equation into the square root formula.
Step-by-step explanation:
Answer:
x =
2 , 8
Step-by-step explanation:
(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25
= x² - 10x + 25
x² - 10x + 25 = 9
x² - 10x + 25 - 9 = 0
x² - 10x + 16 = 0
x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)
x = {10±√(100-64)} / 2
x = {10±√36} / 2
x = {10±6} / 2
x₁ = {10-6} / 2 = 4/2 = 2
x₂ = {10+6} / 2 = 16/2 = 8
Check:
x₁
(2-5)² = 9
-3² = 9
x₂
(8-5)² = 9
3² = 9
Joe has saved $50. He wants to
buy 3 graphic novels that cost $13 each.
Can Joe afford the graphic novels?
Answer:
Yes, Joe can afford the graphic novels.
Explanation:
Joe has $50Each graphic novel costs $13Joe wants 3 graphic novels[ Multiply ]
13 · 3 = 39
Joe will be spending at total of $39 if he buys 3 graphic novels. He will have a total of $11 left over. Joe can afford the graphic novels.
True or false please help ASAP
Answer:
true :)
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
A carpenter makes wooden chairs.
He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.
Answer:
Is there supposed to be a graph somewhere?
A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight
Answer:
y=1.5x+9
Step-by-step explanation:
We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.
The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.
[tex]\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}[/tex]
Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.
The decimal .28654 rounded to the nearest thousandth is ____.
Answer:
8000,I think this is right answer
Answer:
.287
Step-by-step explanation:
5 rounds up which makes the 6 a 7.
Pls help I don't understand :( Will give Brainliest
Answer:
a. [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
The formula for rate of change is:
[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Your points are (1000, 310) and (3500, 460)
So
[tex]x_{1}[/tex] = 1000
[tex]y_{1}[/tex] = 310
[tex]x_{2}[/tex] = 3500
[tex]y_{2}[/tex] = 460
Plug into the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50
150/50 = 3 2500/50 = 50
so:
[tex]\frac{3}{50}[/tex]
find the value of x
WILL MARK AS BRAINLIEST!
Answer:
37
Step-by-step explanation:
180-(81+62)=37
Answer:
x = 37°
Step-by-step explanation:
The sum of all internal angles in a triangle will always equal 180.
Thus, we know that 81 + 62 + x must equal 180.
81 + 62 + x = 180
143 + x = 180
Subtract 143 from both sides:
x = 180 - 143
x = 37
Answer: x = 37°
Find the measurement
Answer:
RS = 2.4 cm
Step-by-step explanation:
RS + ST = RT
RS + 1.6 = 4
Subtract 1.6 from both sides.
RS = 4 - 1.6
RS = 2.4 cm
Determine the 18th term of the sequence 3,9,27,...
Answer:
[tex]x_{18}=387420489[/tex]
Step-by-step explanation:
So we have the sequence:
3, 9, 27...
First, note that this is a geometric sequence because each subsequent term not increasing linearly.
To find the 18th term, we can write an explicit formula.
The standard explicit formula for a geometric sequence is:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial term, r is the common ratio, and n is the nth term.
From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:
[tex]x_n=3(3)^{n-1}[/tex]
To find the 18th term, substitute 18 for n. So:
[tex]x_{18}=3(3)^{18-1}[/tex]
Subtract:
[tex]x_{18}=3(3)^{17}[/tex]
Evaluate:
[tex]x_{18}=3(129140163)[/tex]
Multiply:
[tex]x_{18}=387420489[/tex]
And we're done!
*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064
This question was not written properly
Complete Question
(7.006 x 10⁴¹) x (5.09 x 10²²)
OA) 3.566 x 10⁴¹
OB) 3.566 x 10⁶²
ОС) 3.566 x 10⁶³
OD)3.566 x 10⁶⁴
Answer:
D. 3.566 × 10⁶⁴
Step-by-step explanation:
We are asked to solve:
(7.006 x 10⁴¹) x (5.09 x 10²²)
When we multiply this together
= (7.006 × 5.09 ) × 10(⁴¹+²²)
= (7.006 × 5.09 ) × 10⁶³
= 35.66054 × 10⁶³
= 3.566054 ×10⁶⁴
Approximately = 3.566 × 10⁶⁴
A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. The rest of the bonus is shared equally between 7 salesmen. One of the salesmen say if the bonus is shared equally between all 10 people I will get 25 percent more money. Is the salesmen correct? you must show your answer.
Help me on this question and please show your working out and explain thank you
Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
Therefore, salesman is not correct
10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of
3:5. How much does Monika get?
(a) £120
(b) £200
(c) £60
(d) £90
Answer:
(d) £90
Step-by-step explanation:
Total raffle prize = £240
Ratio of sharing
Monika : Robert
3 : 5
The amount Monika get is calculated as
3/(3 + 5) × £240
= 3/8 × £240
= 3 × 30
= £90
Therefore, the amount Monika gets is £90
PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6
Answer:
Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18
Please answer ASAP
what is 7.28 times 6 than that answer + 41.25 = ?
Answer: 84.93
Step-by-step explanation:
when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93
Answer:
84.93
Step-by-step explanation:
7.28 x 6 +41.25
Do 7.28 x 6
43.68+41.25
Then add together
84.93
Please help me out on this
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
what is the value of x?
30
45
55
60
Answer:
[tex]\boxed {\tt B. \ x=45}[/tex]
Step-by-step explanation:
x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.
Add x and 3x, and set that equal to 180.
[tex]x+3x=180[/tex]
Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.
[tex](x+3x)=180[/tex]
[tex]4x=180[/tex]
Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{180}{4}[/tex]
[tex]x=\frac{180}{4}[/tex]
[tex]x=45[/tex]
x is equal to 45, so the correct answer is B. 45
In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).
Supplementary angles add upto 180°.Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.
Then,
[tex] \angle TRS + \angle TRV = 180 \degree[/tex]
In the question, given angle TRS = x and angle TRV = 3x
[tex]x + 3x = 180 \degree[/tex]
[tex]4x = 180 \degree[/tex]
Now, divide 4 from both sides because we need to find x.
[tex]x = \frac{180 \degree}{4} [/tex]
[tex]x = 45 \degree[/tex]
It was given that Angle TRS is x
So, Angle TRS = 45°
Option B
#CarryOnLearning
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The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.
Answer:
the perimeter is 50 inches squared
Step-by-step explanation:
if the length is 4 times that means the sides are 20 and 5
Ar the two triangles below similar? A. Yes, because the corresponding sides are proportional B. No, because the corresponding sides are not proportional. C. Yes, because thre are two pairs of congruent corresponding angles. D. No, because there are not two pairs of congruent corresponding agles. PLEASE HELP ME !!!!!!!!
Answer:
No, because there are not two pairs of congruent corresponding agles
What is the place value of 3 in 9. 365?
Answer:
It is in the tenths place
Step-by-step explanation:
In the number 9.365, 3 is in the tenths place.
Which expression can be used to solve
3/5•|• 7/10
Answer: D
Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d
regi received a 3.5 raise which raised his yearly income by $910. what is his new income?
Answer:
His new income is $26,910.
Step-by-step explanation:
As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:
910 / 3.5 = 1% salary
260 = 1% salary
260 x 100 = previous salary
26,000 = previous salary
26,000 + 910 = current salary
26,910 = current salary
Therefore, his new income is $26,910.
I really need help . 12 points
Answer:
it the 2nd or last one but i think its the 2nd one
Answer:
it is last no. cause no negative or decimal are counted as order pair
Step-by-step explanation:
I guess I was help full for u
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pls help me pls pls
x= -4
mark this as brainliest!!!
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Step-by-step explanation:
solution,or, 5x-3(x-2)=3x-2(x-1) or,5x-3x+6 =3x-2x+2 or,2x+6=x+2 or, 2x-x=6+2 ( therefore, x=-4)
WILL MARK BRAINLY IF CORRECT; 100 POINTS I ALREADY FIGURE OUT LETTER A & B. I JUST NEED TO FIGURE OUT LETTER C.
Carrie Overwood works fluctuating work schedules. Besides her fixed salary of $1,044 per week, her employment agreement provides for overtime pay at an extra half-rate for hours worked over 40. This week she worked 48 hours. Compute the following amounts. Round all divisions to two decimal places and use the rounded amounts in subsequent computations. Round your final answers to the nearest cent.
a. The overtime earnings $ 87.04
b. The total earnings $ 1,131.04
c. If this was a BELO plan with a pay rate of $23.45 per hour and a maximum of 48 hours, how much would Overwood be paid for 42 hours? $
Answer:
$1008.35
Step-by-step explanation:
938$+ 70.35$ from overtime.
Answer:
1008.35
Step-by-step explanation:
I believe that's the answer
Is 8.168 a rational number?
Answer:
yes
Step-by-step explanation: