Answer:
Given:
Wage = $19.50 per hourWeekly hours worked = 38⇒ Weekly income = 38 × $19.50 = $741
⇒ Monthly income = ($741 × 52.14) ÷ 12 = $3219.65
28% of monthly income
= 0.28 × $3219.65 = $901.50
As $1700 > $901.50 Manuel should not rent the house for $1700 per month since it is more than 28% of his income.
The cost of rent at $1700 per month is actually 52.8% of his monthly income:
(1700 / 3219.65) x 100 = 52.8%
PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11
Answer:
abce
Step-by-step explanation
correct
Find the equation of
the line that cuts through (0, 5) and (1, 2)?
a. y=-3x+5
C.
y =-57+3
b. y = 3x+5
d.
Y=--X+3
Please select the best answer from the choices provided
slove for x 10(2x-4)=100x A.x=7 B.x=3 C.x=1/2 D.x=-1/2
Answer:
The answer is D. x=-1/2
Step-by-step explanation:
multiply the parantheses by 10 that'll give us 20x-40=100x2. move terms, that'll give us 20x-100x=403. subtract 100x from 20x, that'll give us -80x=404. divide both sides by -80, which is x=-1/2Answer:
D. x = -1/2Step-by-step explanation:
10(2x - 4) = 100x1. Divide both sides by 10.
10/10 (2x - 4) = 100x/102x - 4 = 10x2. Add 4 to both sides.
2x - 4 +4 = 10x + 42x = 10x + 43. Subtract 10x from both sides.
2x - 10x = 10x + 4 - 10x-8x = 44. Divide both sides by -8.
-8x/-8 = 4/-8x = -1/2The answer is D.
Complete part (a) and part(b) given the following system of equations. I really need help!!!
x-y=0
2x+3y=-5
a) Solve this system graphically.
b) Write your answer
Answer:
x=−1 and y=−1
Step-by-step explanation:
Solve by substitution
x−y=0;2x+3y=−5
Step: Solve x−y=0 for x:
x−y+y=0+y(Add y to both sides)
x=y
Step: Substitute yfor x in 2x+3y=−5:
2x+3y=−5
2y+3y=−5
5y=−5(Simplify both sides of the equation)
5y/5=−5/5 (Divide both sides by 5)
y=−1
Step: Substitute−1 for y in x=y:
x=y
x=−1
Answer:
x=−1 and y=−1
The solution to the system is x = -1.8 and y = -1.8.
What is a system of equations?A group of two or more equations that must be solved simultaneously make up a system of equations. There are many unknown variables in a system of equations, and each equation in the system depicts the relationship between those variables.
A set of variable values that satisfy every equation in a system of equations is the solution to the system of equations.
To solve this system of equations graphically, we can plot the two equations on a coordinate plane and find the point where they intersect, which represents the solution to the system.
a) To plot the equation x - y = 0, we can rearrange it to y = x and plot the line passing through the origin and the point (1, 1), as shown below:
Graph of the line y = x passing through the origin and the point (1, 1).
To plot the equation 2x + 3y = -5, we can rearrange it to y = (-2/3)x - 5/3 and plot the line passing through the points (-2, 1) and (1/3, -5/3), as shown below:
Graph of the line y = (-2/3)x - 5/3 passing through the points (-2, 1) and (1/3, -5/3).
b) The point where the two lines intersect is the solution to the system. From the graph, we can see that this point is approximately (-1.8, -1.8).
Therefore, the solution to the system is x = -1.8 and y = -1.8.
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Raina is mailing packages. Each small package costs her 2.30 to send. Each large package costs her 4.10 . How much will it cost her to send 7 small packages and 4 large packages?
Answer:
32.5
Step-by-step explanation:
Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.
Multiply out and simplify (2x-3)(4-5x+x^2)
Step-by-step explanation:
reference attachment ..............
write 1 1/3 as a percent
Answer:
1.3
Step-by-step explanation:
⅓ put into to decimal form is a repeating decimal
Answer:
133.3333333%
Step-by-step explanation:
1 = 1.00 = 100%
1/3 = 0.3333333 = 33.33333333%
Note that the extra 3s are for repeating decimals.
Solve for m. Please Help!
Answer:
m = 39°
Step-by-step explanation:
angles on the circumference of the circle subtended by the same arc are congruent.
∠ BDC = ∠ BAC = 33° ( both subtended by arc BC )
then ∠ ADC = 36° + 33° = 69°
Opposite angles of a cyclic quadrilateral sum to 180° , so
∠ ABC = 180° - 69° = 111°
then
m + 72° = 111° ( subtract 72° from both sides )
m = 39°
A graph has the two points (2, 110) and (4, 220). What is the rate of change?
Answer:
55
Step-by-step explanation:
220-110
110/2=55
-
(3/4)+1 7/8 divided by 1/2 =n
Answer:
n=1.3125/ if the (3/4) was negative the anwser would be -1.3125
Step-by-step explanation:
Answer:
n = [tex]5\frac{1}{4}[/tex]
----------------------------------------------------------------------------------------------------------
First, evaluate 3/4 + 1 7/8 without including whole numbers for now.[tex]3/4 + 7/8 =~?[/tex]
When dealing with unequal fraction denominators, find the greatest common factor of both numbers to make the denominators match.
[tex]GCF(3,4) = 2\\GCF(7, 8) = 1\\\\\frac{3 * 2}{4 * 2} = \frac{6}{8}\\\\\frac{7 * 1}{8 * 1} = \frac{7}{8}[/tex]
Next, add these two numbers together.
[tex]\frac{6}{8} + \frac{7}{8} = \frac{13}{8}[/tex]
Oh no! It looks like we have an improper fraction. To solve this, count each time the numerator passes the denominator and count that as a whole number. Like 9/8 is 1 1/8 because the numerator went over the denominator 1 time, counting the extra unit fraction.
[tex]\frac{13}{8} = 1\frac{5}{8}[/tex]
Now, add the whole numbers.
[tex]1 + 1 + \frac{5}{8} = 2\frac{5}{8}[/tex]
Last not not least, divide by one half. Since 2 5/8 is equal to 21/8, convert it to this fraction.
[tex]\frac{21}{8} / \frac{1}{2}[/tex]
Use the 2 in 1/2 and the 1 in 1/2, then multiply 2 by 21, and 8 by 1
[tex]\frac{21*2}{8*1} = \frac{42}{8}[/tex]
Finally, simplify 42/8
if 8 × 5 is 40 you can tell the number will be close to 40
[tex]\frac{42}{8} = 5\frac{1}{4}[/tex]
That said, the answer is [tex]\frac{42}{8}[/tex] and also [tex]5\frac{1}{4}[/tex]
Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine! Payton is overcome with emotion and needs your help to save her dog. You can repel down and successfully rescue Willow, but you must calculate how much rope is needed.
The ravine is 153 feet deep the repel line will be the diagonal distance from the top of the ravine to Willow The anchor and repel line form a 35 degree angle; this is angle A in the image below.
(a) Calculate the length of the repel line using one of the 3 trigonometry ratios taught (sin, cos, tan) Round your answer to the nearest whole number. Show all needed math for calculating this length.
The length of the repel line using one of the 3 trigonometry ratios will be 186.78 feet.
How to calculate the length?From the information given, Peyton is walking her dog, Willow, on a local trail and the dog falls 153 feet down a ravine.
The length will be calculated thus:
Cos 35° = 153/AC.
AC = 153/cos 35°
AC = 153/0.819
AC = 186.78 feet.
Therefore, the length is 186.78 feet.
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At Ashley Furniture Store, there is a marble table that you want to
purchase for your mother. The length of the table is (-8x+2) and the width
of your rug is (3x-4). What is the total area of the table? Solve the
problem using the best method. Write the answer as a trinomial.
Step-by-step explanation:
in my opinion
total area = the width × the length
= (3x-4)(-8x+2)
= -24x²+6x+32x -8
= -24x² + 38x -8
help v qucik pleaseeeeee
[tex](x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2} [/tex]
passes through ( 4 , -4 )
[tex](4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2} [/tex]
[tex]r {}^{2} = ( - 5) {}^{2} [/tex]
[tex]r {}^{2} = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
Your radius is 5 units
[tex]c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4[/tex]
To Draw:Place your center at the point x=4 and y=1
Then take your radius 5 units by going straight down left right or up by 5 units
AND DRAW
if x=15 degrees and the measure of Arc YZ is 3 centimeters, what is the circumference of the circle?
A- 24
B- 45
C- 60
D- 72
The circumference of the circle is 72cm.
Arc length formula[tex]Arc length = 2\pi r(\frac{x}{360} )[/tex]
where
r is the radius of the circle
x is the central angle of the arc
Circumference of the circleCircumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. It is calculated as
circumference of the circle = 2πr
According to the given question we have
central angle of the arc, x = 15 degrees
Arc length = 3 cm
Let r be the radius of the given circle.
Then,
Arc length = 2πr[tex](\frac{15}{360} )[/tex]
⇒ 3 ×[tex]\frac{360}{15}[/tex] = circumference of the circle ( circumference or circle =2πr)
⇒ circumference of the circle = 72 cm
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Need help with 7 and 8
Answer:
see explanation
Step-by-step explanation:
The tangent segments are equal so you set them equal to each other and solve.
7) 3x-6 = x + 10 8) 4x + 2 = 2x + 8
Shaniece was given a large box of 48 chocolates for her birthday. If she eats exactly 3 chocolates each day, how many chocolates would Shaniece have remaining 5 days after her birthday?
Answer:
33 chocolates
Step-by-step explanation:
3 chocolates times 5 days = 15 chocolates
48 chocolates minus 15 chocolates = 33 chocolates
need help please!!!!!!
(t divide 3) + 1= 5 + 1
Answer:
t=15
Step-by-step explanation:
t/3 + 3/3 = 6
combine fractions w/ common denominator:
t+3/3 = 6
multiply both sides by denominator (3):
note: the two threes from 3 x t+3/3 cancel each other out
t+3=3x6
t+3=18
subtract 3 from both sides and you get 15
t=15
hope this helps :)
will give brainliest, thanks in advance!!
Answer:
-3+15i
Step-by-step explanation:
Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]
[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]
-3 * 3 -3 (-2) = -3
[tex]-3+15i[/tex]
Which set of coordinates represents the reflection of the following image over the y–axis?
A
(–6 , 2), (–4 , 8), (–2 , 2)
B
(6 , 2), (4 , 8), (2 , 2)
C
(–6 , –2), (–4 , –8), (–2 , –2)
D
(–2 , 2), (0 , 8), (2 , 2)
Answer:
B. (6,2), (4,8), (2,2)
Step-by-step explanation:
When it reflects over the y-axis (the vertical line) it is going to look the exact same just in the box on the top right. Instead of negatives in the coordinate points they are going to be positive. The only one that does this is B.
Ans: B. (6,2), (4,8), (2,2)
factor the following expression
[tex]16x^{2} - 25[/tex]
[tex]16x^2-25\\\\=(4x)^2-5^2\\\\=(4x+5)(4x-5)[/tex]
What is the value of the expression
below when a
8, b = 16, and c = -4 ?
Answer:
35
Step-by-step explanation:
5*³√8-（-4）*√16+9=5*2+4*4+9=35
m∠A= 81∘; m∠B = 109∘ Are the two angles complementary, supplementary, or neither?
Answer:
neither
Step-by-step explanation:
complementary means the angles should add up to 90∘ but here in this case they add up to 190.
Supplementary means the angles add up to 180∘ but again in this case they don't.
which means the answer only has one choice.
Watch help video
Kaylee owns a small business selling clothing. She knows that in the
last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit
card.
Based on these results,
debit card as a
express the probability that the next customer will
pay with
The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.
What is a probability?This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.
How to calcuate the probability?Total of a specific outcome/ total of outcomes
Based on this, let's calculate the probability the next customer pays using the debit card:
Total that pay with debit card: 21 customersTotal of customers: 70 customers21/ 70 =0.3 or 30%Learn more about probability in: https://brainly.com/question/11234923
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Determine the equation of the circle graphed below.
10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10
Answer:
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Step-by-step explanation:
From the graph we can see that
Diameter = 6 units
=> Radius = 3 units and centre is at (-3,7)
=> Equation is Circle with centre (-3,7) and radius of 3 units will be
[tex] = > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2} [/tex]
[tex] = > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9[/tex]
[tex] = > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0[/tex]
Find the approximate volume of the cone.
o 1,017.4 cm
226.08 cm
o 324 cm
Answer:
~ 1017.4
Step-by-step explanation:
volume of a cone 1/3 pi r^2 h
1/3 pi * 9^2 * 12 = 1017.8
For f(x)= 2x + 1 and g(x) = x^2 - 7, find (f+g)(x).
Answer:
x^2+2x-6, or C
Step-by-step explanation:
We want to combine the values of both f(x) and g(x) into one equation.
We could write this as 2x+1+x^2-7
Simplified- x^2+2x-6, or C
In terms of π, what is the volume of the sphere?
[tex]v = \frac{4}{3} \pi \: {r}^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times ({ \frac{60}{2} })^{3} \\ [/tex]
[tex]v = \frac{4}{3} \times \pi \times {30}^{3} \\ [/tex]
[tex]v = \frac{27000 \times 4}{3} \pi \\ [/tex]
[tex]v = 900 \times 4\pi[/tex]
[tex]v = 3600\pi \: \: \: {ft}^{3} [/tex]
Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).
(gof)(4)=0
(Simplify your answer. )
Answer:
-5=0
Step-by-step explanation:
g(4)=8-8-5=-5 you substitute 4 into x
-5=0
A circle with a radius of 6 m has an arc of 4 pi m. What is the measure of the centra angle?
Answer: Since the arc length is given (4 ) and the radius is given (6), the central angle can be found
Arc Length = theta * r
4 pi = theta * 6 Divide by 6
4 pi / 6 = theta
theta = (2/3) pi
Step-by-step explanation: