Answer:
The inequality that represents the number of cars he needs to sell is: [tex]x \geq 11[/tex]
Step-by-step explanation:
The commission received by the salesman, can be modeled by the following expression:
[tex]\text{commission}(x) = 700*x[/tex]
Where "x" is the number of sold cars. Since he needs to achieve a commission value of at least 7700, then the inequality that represents the number of cars he needs to sell is:
[tex]700*x \geq 7700[/tex]
We can solve for "x" in order to find the number of cars he needs to sell:
[tex]x \geq \frac{7700}{700}\\\\x \geq 11[/tex]
He needs to sell at least 11 cars.
Solve for s.
6 − 4s = –8 − 6s
s =
Step-by-step explanation:
6 - 4s = - 8 - 6s
Bringing like terms on one side
-4s + 6s = - 8 - 6
2s = - 14
S = - 14/2
S = - 7
PLEASE HELP ASAP MATH
Answer:
3. 324+432=756 in cubed
4. 2100+7200=9300 yd cubed
3
7
10
Which expression has a negative value?
O 2+12
(-3)(-8)
10-(-18)
-35-5
Wakandi telur
Answer:
-35 - 5
Step-by-step explanation:
2 + 12 = 14, which is positive
(-3) * (-8) = 24, which is positive
10 - (-18) = 10 + 18 = 28, which is positive
-35 - 5 = -40, which is negative
Answer:
[tex]-35-5[/tex]
Step-by-step explanation:
[tex]2+12=14[/tex]
The result is a positive value.
[tex]-3 \times -8=24[/tex]
The result is a positive value.
[tex]10-(-8)\\10+8=18[/tex]
The result is a positive value.
[tex]-35-5=-40[/tex]
The result is a negative value.
The amount of money that Tom had in his pension fund n 2016 was E55 000. Dis plans involve him putting $8 200 in his fund every year for the next 15 years. How much will Tom have in the pension fund in 2031?
Answer:
$178,000
Check my explanation for further details
Step-by-step explanation:
$8200 in his pension fund for 15 years
=8200×15
=$123,000
By 2031
Tom will have a total of $55 000+$123,000
=$178,000
If by saying E55,000 you mean 55,000 Euro
Then,
$62,174.99=E55000
$62,174.99+$123,000
=$185,174.99
PLEASE HELP! Shalini found the sum of the measures of the interior angles of the triangle to be 175°. She knows the sum is supposed to be 180°. What was Shalini’s error? m∠A = 45° m∠B = 85° m∠C = 45° Shalini did not add the sum of the 3 angles correctly.
Answer:
its c
Step-by-step explanation:
because i said
Answer:
c is the correct option
Step-by-step explanation:
the shapes below are drawn on a centimeter grid, show that the triangle and the square have the same area.
Answer:
Area_square = 4 cm2
Area_triangle = 4 cm2
Step-by-step explanation:
The first thing to do is calculate the area of both figures.
The area of the square is given by:
Area_square = side * side
The side of the square is 2 cm, so:
Area_square = 2 * 2 = 4 cm2
The area of the triangle is given by:
Area_triangle = base * height / 2
The base is 2 cm, and the height is 4 cm, so we have:
Area_triangle = 2 * 4 / 2 = 4 cm2
So we have that Area_square = Area_triangle = 4 cm2
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?
A) 7 divided by 2
B) 6 divided by 1
C) 8 divided by 3
D) 3 divided by 2
The expression that best estimates 6 3/4 divided by 1 2/3 is 7/2. 6 3/4 (or 6.75) divided by 1 2/3 (or 1.66...) comes out to 4 1/20 (or 4.05). The closest value to this in the options available is 7/2 (or 3.5). This answer is only .55 away from the correct value, while the rest of the options are far less close.
Answer:
7/2 or
7 dived by 2
Step-by-step explanation:
bruh A
Find the 7th term of the geometric sequence with a3= -45 and a5= -405
Answer:
Step-by-step explanation:
let a be the first term and r be common ratio.
[tex]a_{3}=ar^2=-45\\a_{5}=ar^4=-405\\divide\\\frac{ar^4}{ar^2} =\frac{-405}{-45} =9\\r^2=9\\r=\pm3\\9a=-45\\a=-5\\a_{7}=ar^{7-1}=ar^6=ar^4 \times r^2=-405 \times 9=-3645[/tex]
Wilson needs 9 pieces of wood that are each 1/3 ft long. He has one board that is 3 1/3 ft long. Will he be able to make all the pieces he needs from that one board?
Answer:
Yes, he will.
Step-by-step explanation:
Since he needs 9 pieces of 1/3 ft, yo would start by dividing 9 by 3 (9 x 1/3). This would give you 3, meaning that you would need 3 feet of would in all, and since he is given 3 and 1/3 feet, he has enough.
Hope this helps!
Tom can do a job in 4 hours while Sam can do it in 6 hours. How many hours would it take to complete this job if they work together?
Answer:
12/5hours=2.4 hours
Step-by-step explanation:
Sam:6hours
Tom:4hours
This is a rate problem
Sam's rate is one job completed in 6 hours which is 1/6
Tom's rate is one job completed in 4 hours which is 1/4
Together, they could complete 1/4+1/6 of the job in y hours
We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y
1/4+1/6=1/y
The least common denominator is 12y
Multiplying through by the LCD which gives:
12y(1/4)+ 12y (1/6)= 12y (1/y)
3y + 2y=12
5y = 12
y=12/5 hours=2.4hours
Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together
Which of the following is a secant on the circle below
Answer:
RT is more appropriate, though even SU could be called a secant.
Step-by-step explanation:
Can anyone help me with this?
Answer:
Yes it is 7 cuz it has the equation of 3-5a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Plug in -3 as a
h(-3) = (3+15)/3
h(-3) = 18/3
h(-3) = 6
What is M and C for the line Y=X-6?
Answer:
Step-by-step explanation:
Equation of line: y = mx + c
y = x - 6
Slope m = 1
y-intercept c = -6
Answer:
m = 1
c = -6
Step-by-step explanation:
Formula for a line is y = mx+c
m = gradient
c = intercept.
Here:
m = 1
c = -6
Hope this helps
Good Luck
Cam is making a party hat, shown at left, in the shape of a cone for his
birthday. The circumference of the part of his head where the hat will
rest is 56 centimeters (cm). If the height of the hat is 25 cm, which of
the following is closest to the volume of Cam's hat, measured in cubic
centimeters (cm)?
Answer:
V≈2,080cm^3 Hope I helped :)
Step-by-step explanation:
The volume of a cone of radius r and height h is:
V=1/3πr^2h
Since the circumference of Cam's head is 56
2πr=56
r=56/2π
r=28/π
The volume of the hat is therefore:
V=1/3π(28/π )^2(25)
V=1/3((28)^2/π)(25)
V=1/3(19,600/π)
V≈2,080cm^3
The volume of the Cam's hat measured in cubic centimetres is 2081 cm³
Volume of a cone:The volume of a cone is as follows:
v = 1 / 3 π r²hwhere
h = height
r = radius
The circumference of the part of his head where the hat will rest is 56 cm. Let's find the radius
circumference = 2πr56 = 2 × π × rr = 28 / πh = 25 cm
V = 1 / 3 × π × (28 / π )² × 25
V = 1 / 3 × π × 784 / π² × 25
V = 19600 / 3π
V = 19600 / 9.42
V = 2080.67940552
V ≈ 2081 cm³
learn more on volume here : https://brainly.com/question/16048559?referrer=searchResults
HELP FAST! A cat spies a bird sitting at the top of a 32 foot pole. If the angle of elevation from the cat to the bird is 47°, then the cat is __________ feet from the base of the flagpole. Select one:
a. 29.880
b. 29.890
c. 29.820
d. 29.800
e. 29.840
Answer:
e. 29.840
Step-by-step explanation:
The cat, the floor and the foot pole form the shape of a right angled triangle.
The opposite is the height of the foot pole = 32 ft
The adjacent is the distance of the cat from the base of the foot pole.
The hypotenuse is the direct distance of the cat from the bird.
The angle of elevation, x, is 47°
To find the distance of the cat from the foot of the foot pole, we can use to TAN part of the trigonometric function SOHCAHTOA:
tan(x) = opposite / adjacent
=> tan(47) = 32 / adj
adj = 32 / tan(47)
adj = 29.840 ft
Therefore, the cat is 29.840 feet from the base of the foot pole.
pls help for brainliest
｡☆✼★ ━━━━━━━━━━━━━━ ☾
πr^2 = area
Half the diameter to get the radius
Substitute the values in:
area = 3.142 x (7)^2
area = 153.958 cm^2
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
153.958cm^2
Step-by-step explanation:
r=d/2=14/2=7cm
A=πr^2
A=3.142×7^2
A=3.142×49cm^2
A=153.958cm^2
Round 3.44570830811 to the nearest hundred-thousandth,
Answer:
3.44571
Step-by-step explanation:
look at the number to the right of the decimal. if the number is higher than or is 5 round the number up, but if the number is less than 5 it will stay the same.
The number after rounding off to nearest hundred-thousandth or 5 decimal places will be -
3.44571
We have the following number - 3.44570830811
We have to round it of nearest hundred-thousandth or 5 decimal places.
What are Rounding numbers?Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. For example - 53 rounded to the nearest ten is 50.
According to the question, we have the following number -
3.44570830811
Rounding it off One by one until we get 5 digits after decimal -
R1 - 3.44570830811
R2 - 3.4457083081
R3 - 3.445708308
R4 - 3.44570831
R5 - 3.44570831
R6 - 3.4457083
R7 - 3.445708
R8 - 3.44571
Hence, the number after rounding off to nearest hundred-thousandth or 5 decimal places will be -
3.44571
To solve more questions on Rounding Numbers, visit the link below-
brainly.com/question/17284779
#SPJ2
Which reslts only in a horizontal compression of y=1/x by a factor of 6?
Answer:
y=1/6x
Step-by-step explanation:
y=1/x
the rule for horizontal compression is f(k.x) since we have the equation of y=1/x and k=6 then y=1/6x
If cos0 =1/3
then sin0=?
Answer:
sin θ = +/- (2√2)/3
Step-by-step explanation:
cos θ = 1/3
cos²θ + sin²θ = 1
(1/3)² + sin²θ = 1
sin²θ = 1 - 1/9
√(sin²θ) = +/-√(8/9)
sin θ = +/- (2√2)/3
what is the LCM of x^2+5 and x^2+10x+25?
Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.
What is the value of 3/10 to the third power
Answer:
[tex]\frac{27}{1000}[/tex]
Step-by-step explanation:
=> [tex](\frac{3}{10} ) ^3[/tex]
=> [tex]\frac{(3)^3}{(10)^3}[/tex]
=> [tex]\frac{27}{1000}[/tex]
Answer:
It's 0.003.
Step-by-step explanation:
What is the probability of selecting a boy or a blonde-haired person from 12 girls, 5 of whom have blonde-haired and 15 boys, 6 of whom have blonde-haired
Answer: 20/27
Step-by-step explanation:
So it is non- mutually exclusive;
Let B for the boys and H for the blond hair.
P(B) = 15/27; P(H) 11/27; P(B and H) = 6/27
Then, we have,
P(B or H) = 15/27 + 11/27 - 6/27
P(B or H) = 20/27
Therefore, the probability of selecting a boy or a blond-haired person is 20/27.
The triangles shown below must be congruent.
45°
45-
12
45°
45°
12
O A. True
B. False
Answer: True
Step-by-step explanation: The angles given are the same AND the side given us the same. The triangle has been reflected, but the reflection is still congruent.
The two triangles given are congruent according to the ASA congruence rule.
What is ASA congruence rule ?Two triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of the other triangle.
Check whether the triangles are congruent :The given triangles are both right angled triangles.
The side 12 units is the included side between the angles 45° and 90° in both the triangles. This is the required condition for ASA congruence rule.
Hence we can say that the triangles are congruent according to the ASA congruence rule. The answer is A.True.
Learn more about congruence of triangles here:
brainly.com/question/36879
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rewrite the expression in the form 2n
Answer:
two times a number
Step-by-step explanation:
Malik decides that he wants a good result on the state math test. He plans to study for at least 45 minutes three nights per week. Which expression represents Malik's study goal for each week?
Answer:
[tex]135<t_{minutes}\:<315[/tex]
Step-by-step explanation:
Malik's goal is a minimum total of 135 (45 x 3) minutes per week, in three session of 45 minutes.
Notice that it is at least.
So He can do sessions from 3 , 4, 5, 6 up to 7 nights per week
Hence, we can write his goals in minutes per week:
[tex]G_{w}=3*45<t_{minutes}<7*45\\G_{w}=135<t_{minutes}<315[/tex]
What is the final amount if 648 is decreased by 7% followed by a further 20% decrease?
Give your answer rounded to 2 DP.
Answer:
473 or excact is 473.04
Step-by-step explanation:
First,
100 - 23 = 73
Then take,
73% x 648 = 47,304
Finally,
47,304 / 100 = 473.04 or
rounded to 473.
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
May I Please Get Help For Number 5
Answer:
$ 60
Step-by-step explanation:
p(x) = 7x + 25
f(1) = 2.1² + 3 = 5
p(f(1)) = p(5) = 7 . 5 + 25 = 35 + 25 = 60
so he get $ 60 for 5 hours work with tips
i dont know which two chose
The low temperature during 4 days in September was 21°C, 21°C, 19°C and 19°C. What was the mean temperature?
Answer:
Step-by-step explanation:
The Answer is 20.
1: First, add up all the temperatures that has been provided, 21 + 21 + 19 + 19. It should give you 80.
2: Divide 80 by how many temperatures has been shown. There were 4 temperatures shown, so 80/4 = 20. Hope this helps you!
HELP ASAP!!!!
what is the sum of the intimate geometric series
Answer:
[tex]-288[/tex]
Step-by-step explanation:
The sum of the infinite geometric series is defined as:
[tex]S=\frac{a_1}{1-r}[/tex]
Where [tex]a_1[/tex] is the first time and [tex]r[/tex] is the common ratio, where [tex]r[/tex] lies in the range of:
[tex]|r|<1[/tex]
[tex]S=\frac{-144}{1-\frac{1}{2}}=\frac{-144}{\frac{1}{2}}=-288[/tex]
