They should use the conversion factor
1 mile = 5280 feet
To go from feet to miles, you divide by 5280
So,
4224 ft = 4224/5280 = 0.8 miles
The distance between their homes is exactly 0.8 miles
Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.
If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.
Answer:
He will need at least 657,142.86
Step-by-step explanation:
Determine how much commission he needs
60000-14000
46000
Commission is 7%
Let x be the sales
x*7% = 46000
x*.07 = 46000
Divide each side by .07
x = 46000/.07
x =657142.85714
Rounding to the nearest cent
x = 657,142.86
Bruno is 4.5 times as old as Charles if Bruno is 27 how old is Charles
Answer:
6
Step-by-step explanation:
Bruno(B)= 4.5× Charles(C)
Answer:
Charles is 6
Step-by-step explanation:
Bruno = B
Charles = C
B = 4.5C
27 = 4.5C
---- -------
4.5 4.5
6 = C
The answer is 6.
plzzzz helppp only have 30 minsss left
Answer:
(x+6)^2 +(y-4)^2 = 49
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 +(y-4)^2 = 7^2
(x+6)^2 +(y-4)^2 = 49
Please help ASAP!!!!
What is the sum of this series?
FOR BRAINLIEST ANSWER ONLY THE GIVEN-NUMBERS:
2.
3.
4.
Answer:
2.) (3,-2)
3.) (5,3)
4.) *Still trying to solve*
Step-by-step explanation:
2.)
Step 1.
5x + 4y = 7
3x - 4y = 17
+ ------------------
8x = 24
8 8
x = 3
Step 2.
5x + 4y = 7
5(3) + 4y = 7
15 + 4y = 7
-15 -15
4y = -8
4 4
y = -2
Final Answer: (3,-2)
3.
Step 1.
4x + 5y = 35
x = 2y - 1
4(2y - 1) + 5y = 35
8y - 4 + 5y = 35
13y - 4 = 35
+4 +4
13y = 39
13 13
y = 3
Step 2.
x = 2y - 1
x = 2(3) - 1
x = 6 - 1
x = 5
Final Answer: (5,3)
I do apologize that I couldn't find the solution to 4.) if I do I will edit this answer
I hope this helps!
write an example of a monomial of degrees 5
Answer:
find the value of:Cos = 0.54
Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²
Answer:
-5
Step-by-step explanation:
3x²y + xy²
Let x = -1/2 and y = 4
3(-1/2)^2 (4) + (-1/2) (4)^2
Exponents first
3(1/4) (4) + (-1/2) 16
Multiply
3 - 8
Subtract
-5
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]
Step-by-step explanation: simplify it [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex] evalute [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]
If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.
Answer:
30, 90
1 : √3 : 2
Step-by-step explanation:
let the smaller angle be x
hence, the other angle = 3x
180-60=4x
4x = 120
x = 120/4 = 30
other angle = 3(30) = 90
the triangle is a 30-60-90 triangle,
hence the ratio of the sides are 1:√3:2
( short leg : long leg : hypotenuse )
simplify negative 3 / 8 divided by negative 5 / 6
Answer:
9/20
Step-by-step explanation:
1. 3/8 / 5/6
2. 9/20
Answer:
[tex] \sf \: \frac{9}{20} [/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]
[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]
[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]
Hence, the answer is 9/20.
If a ramp is 17 feet long rises 8 feet above the floor and covers a horizontal distance of 15 feet what is the ratio of _____ to ____ is equal to San B.
In the given question, it is given that ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is:
tanB=8/15
And that's the required missing ratio for tan B.
Answer:
The ratio of sin b to cos b is equal to tan B.
Step-by-step explanation:
Correct for plato
Which table represents a linear function?
X
1
1
у
5
10
15
| | | |-
1
4
20
25
5
Answer:
x is the linear function table
The radius of the large sphere is times longer than the radius of the small sphere.
How many times the volume of the large sphere is the volume of the small sphere?
Help! Help! Help! Please!
Answer:
A. ¹/27
Step-by-step explanation:
✔️Volume of large sphere = ⁴/3πr³
r = 18.6 in.
Volume of large square = ⁴/3*π*18.6³ = 26954.26 in.³
✔️Volume of small sphere = ⁴/3πr³
r = 6.2 in.
Volume of small sphere = ⁴/3*π*6.2³ = 998.31 in.³
✔️Ratio of the volume of the smaller sphere to the larger sphere = 998.31 : 26954.26
= 1 : 27
Therefore, the volume of the large sphere is ¹/27 of the volume of the small sphere.
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?
Answer:
[tex] \frac{ - 2}{5} [/tex]
Step-by-step explanation:
Rise over run can help find the slope of a line segment.
[tex] \frac{(2 - 0)}{(0 - 5)} = - 2 \div 5[/tex]
Answer:
-2/5x+5=y the slope is -2/5 x
Step-by-step explanation:
the value of [{(6to the power 2+8 to the power 2)to the power 1/2}]to the power 3
Answer:
Step-by-step explanation:
[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]
the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent
Answer:
It is the third one
Step-by-step explanation:
c
The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?
Answer:
Roses 2.70, Lillies 2.45, Carnations 1.60
Plsss help!! In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
90°
Those three sides make a right triangle,
√(84²+13²) = 85
So angle C is 90°
Answered by GAUTHMATH
What is the slope of the line y = 1/2-x+4?
Answer:
1/2
Step-by-step explanation:
coefficient of x
Answer:
The answer above me is correct, the slope is 1/2.
Step-by-step explanation:
It is the coefficient of x.
Please answer the questions down below i left a couple diffrent pictures
20 POINTS!!
Summer Learning HeadStart 7-8
Answer:
yes
yes
no
no
Step-by-step explanation:
4.
Additive inverses are the same number with different signs, one positive and one negative. they must add to zero. For example, -1 and 1 are additive inverses since they add to zero.
yes
yes
no
no
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
The probability that Chang gets dressed with a white shirt and tan pants is 25%.
Step-by-step explanation:
Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:
Each shirt = 50% chance
Each pants = 50% chance
0.50 x 0.50 = X
0.25 = X
Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.
Find the measure of 2
Answer:
92
Step-by-step explanation:
Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel
Answer:
[tex]\angle 2=92^{\circ}[/tex]
Step-by-step explanation:
When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.
In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:
[tex]\angle 2=\boxed{92^{\circ}}[/tex]
Independent Practice
Find the number of solutions of the equation.
0 = x2 + 2x + 9
A.
3
B.
2
C.
1
D.
0
Answer:
Option D
Step-by-step explanation:
There are no real solution for the given equation
Answered by GAUTHMATH
A store sells two different fruit baskets with mangos and kiwis. The first basket has 2 mangos and 3 kiwis for $9.00. The second basket has 5 mangos and 2 kiwis for $14.25. Find the cost of each type of fruit.
Answer:
kiwis = $1.5
mangoes = $2.25
Step-by-step explanation:
Two equations can be derived from the question
2m + 3k = 9 equation 1
5m + 2k = 14.25 equation 2
m = mangoes
k = kiwis
multiply equation 1 by 5 and 2 by 2
10m + 15k = 45 equation 3
10m +4k = 28.5 equation 4
Subtract equation 4 from 3
11k = 16.5
k = 1.5
Substitute for k in equation 1
2m + 3(1.5) = 9
2m + 4.5 = 9
2m = 4.5
m = 2.25
what is the solution to this?
Answer:
x = -3,y = 2
Step-by-step explanation:
3x-2y = -13
4x-3y = -18
~~~~~~~~~~~~~~~~
9x -6y = -39
-8x+6y = 36
x = -3
-12 -3y = -18
-3y = -6
y = 2
A side of the triangle below has been extended to form an exterior angle of 148°. Find the value of x
Answer: 32
Step-by-step explanation:
total= 180
180-148=32
25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?
Answer:
25 -(.3*25)
25-7.50 = $17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
First find the amount of the discount
25 * 30%
25 * .3
7.5
Subtract this from the original amount
25 - 7.5
17.50
determine the equation of a line that goes through (-1,2) and (7,2)
Answer:
Step-by-step explanation:
To evaluate such, the following must be comprehended:
Slope: Rise/Run.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:
m = (y2 - y1) / (x2 - x1)
Points utilized or given: (-1, 2) and (7, 2).
2 - 2 / 7 + 1 = 0/8 ==> 0
Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).
Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:
Point-Slope Formula:
Y- y1 = m(x - x1)
Y - 2 = 0(x - 7)
Y - 2 = 0
Y = 2
Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).
*I hope this helps.
Identify the domain of a radical function with an odd index.
Answer:
A odd index can go to " - infinity "
Step-by-step explanation:
Using trig to solve for missing angles
Answer:
0.9⁰
Step-by-step explanation:
let unknown angle be x
sin x=47/60
sin x=0.783333
x=sin(inverse) 0.7833333
x=0.9⁰
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
{-7, -6, -5, -4}
{7, 8, 9, 10}
{0, 1, 2, 3}
Answer:
{-7,-6,-5,-4}
Step-by-step explanation:
Answer:
thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know
Step-by-step explanation:
