Answer:
42$
Step-by-step explanation:
So there's an easy way to know this.
100%--$70
60%--x
cross multiply
100x=4200
÷100 ÷100
______________
x=42
So he saved 42$. Hope this helps :D
PLEASE HELP ME ANSWER THESE 2 QUESTIONS PLEASE PLEASE PLEASE ASAP
Answer:l
Step-by-step explanation:
idk men PLEASE HELP!
Mr. Villamayor rented a construction crane for five hours and a backhoe for seven hours. The total amount he paid is less than Php 9,000. Suppose the hourly rate for the crane is Php 800. What is the maximum amount he paid for the backhoe to the nearest hundreds?
Answer:
Let 7x be the rent paid for backhoe for seven hours.
Step-by-step explanation:
Keyword: maximum amount, the most
Inequality symbol: ≤
(800 × 5) + 7x ≤ 9,000
4,000 + 7x ≤ 9,000
7x ≤ 9,000 - 4,000
7x ≤ 5,000
7x ÷ 7 ≤ 5,000 ÷ 7
x ≤ 714.29
To the nearest hundreds:
x ≤ 700
ANSWER: The maximum rental fee per hour of backhoe is Php 700.00 (rounded off to the nearest hundreds).
To check if he paid less than 9,000 for the total rent:
(800 × 5) + (700 × 7) < 9,000
4,000 + 4,900 < 9,000
8,900 < 9,000 (True)
In one month, a cell phone company charges $50 and additional $0.05 for each text message. The company charged Christian $80 for October. How many text messages did Christian send in October?
Answer:
He has 1000 text messages.
Step-by-step explanation:
50 for a month and 0.05 for every text message
0.05x100=5
0.05x1000=50
Grant saved $1,325 to purchase a lawn tractor that costs $1,600. Last month the tractor was on sale for 20% off. Grant did not buy the tractor last month because he spent $360 to go bungee jumping. Decide if the decision is financially responsible.
Answer:
No, he is not financially responsible
Step-by-step explanation:
Given that:
Amount saved for tractor purchase = $1325
Original cost of tractor = $1600
Amount spent on bungee jumping = $360
Discounted price of tractor :
$1600 - (1600 * 0.2) = $1280
Saved amount left after bungee jumping :
$1325 - $360 = $965
The saved amount had exceeded the discounted price, hence, the discount served as an opportunity to make the purchase, However, spending $360 from the saved amount meant that the amount left could not afford the tractor despite the discount. Hence, Missing out on such opportunity due to jumping shows lack of financial responsibility.
Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7 A. x ≤ −3 or x > 3 B. x −3 or x ≤ 3
Answer: B
Step-by-step explanation:
Answer i guess its b then
Step-by-step explanation:
1. 3(6a); for a=3
2. 5d(4); for d=-2
Answer:
Step-by-step explanation:
1. Solution for 3(6a)a=3 equation:
Simplifying
3(6a) * a = 3
Remove parenthesis around (6a)
3 * 6a * a = 3
Multiply 3 * 6
18a * a = 3
Multiply a * a
18a2 = 3
Solving
18a2 = 3
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by '18'.
a2 = 0.1666666667
Simplifying
a2 = 0.1666666667
Take the square root of each side:
a = {-0.408248291, 0.408248291}
2.Solution for 5d(4)d=-2 equation:
Simplifying
5d(4) * d = -2
Reorder the terms for easier multiplication:
5 * 4d * d = -2
Multiply 5 * 4
20d * d = -2
Multiply d * d
20d2 = -2
Solving
20d2 = -2
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Divide each side by '20'.
d2 = -0.1
Simplifying
d2 = -0.1
Reorder the terms:
0.1 + d2 = -0.1 + 0.1
Combine like terms: -0.1 + 0.1 = 0.0
0.1 + d2 = 0.0
36 pictures for $8 or 24 pictures for $5
Answer:
36 for $8.00
Step-by-step explanation:
in the diagram O is the center of the circle XY is a diameter
help and explain please
also giving a BRAINLIEST!
Answer:
see explanation
Step-by-step explanation:
The angle at the circumference b , is half the angle subtended at the centre by the arc XZ, that is
b = 0.5 × 72 = 36
OZ and OX are congruent ( both radii of the circle )
Thus Δ OXZ is isosceles with base angles congruent, thus
a = [tex]\frac{180-72}{2}[/tex] = [tex]\frac{108}{2}[/tex] = 54
∠ XZY = 90° ( angle in a semicircle is right )
The ratio of apples to oranges is 3 to 9. What is the percent of the oranges?
Answer:
I think its 33.333333333333%
Step-by-step explanation:
Helpppp with this plssss
Answer:
26.411
Step-by-step explanation:
In 3a+bc-c you have to substitute
a=8.6, b=2.3, c=0.47
3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction
25.8 + 1.081 - 0.47=
26.411
45 POINTS IF YOU STEAL POINTS IM REPORTING YOU I NEED THE ANSWER
Caisha has a circular garden with a radius of 4 ft. She needs to put a layer of soil on top. Each bag of soil covers 9.42 square feet. How many bags of soil will she need to buy? 5 bag 6 bags 7 bags 8 bags
Answer:
5
Step-by-step explanation:
A = 50.2654825
idk it could be 6
Write the expanded form of the expression
-6.4(-n+2+4.9n)
Answer:
6.4n - 12.8 - 31.36n
Step-by-step explanation:
multiply each term by -6.4
find the side length of triangle.
Answer:
x=4
Step-by-step explanation:
Let's solve the equation:
3x+12=4x+8
12=4x-3x+8
12=x+8
12-8=x
4=x
x=4
The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.
Worth 25 points!
Simplify these equations with steps please.
√-48
√-63
√-72
√-24
√-84
√-99
Answer:
1) [tex]\sqrt{-48}=4\sqrt{3} \ i[/tex]
2) [tex]\sqrt{-63}=3\sqrt{7} \ i[/tex]
3) [tex]\sqrt{-72}=6\sqrt{2} \ i[/tex]
4) [tex]\sqrt{-24}=4\sqrt{6} \ i[/tex]
5) [tex]\sqrt{-84}=2\sqrt{21} \ i[/tex]
6) [tex]\sqrt{-99}=3\sqrt{11} \ i[/tex]
Step-by-step explanation:
We need to simply the following :
Note: For all questions given we know that [tex]\sqrt{-1}=i[/tex] using it in all the given questions.
1) [tex]\sqrt{-48}[/tex]
Factors of 48 are: 2x2x2x2x3
[tex]\sqrt{-48}\\=\sqrt{48}\sqrt{-1} \\=\sqrt{2\times2\times2\times2\times3}\ i\\= \sqrt{2^2\times2^2\times3}\ i\\=2\times2\sqrt{3} \ i \\=4\sqrt{3} \ i[/tex]
2) [tex]\sqrt{-63}[/tex]
Factors of 63 are: 3x3x7
[tex]\sqrt{-63}\\=\sqrt{63}\sqrt{-1} \\=\sqrt{3\times3\times7}\ i\\= \sqrt{3^2\times7}\ i\\=3\sqrt{7} \ i[/tex]
3) [tex]\sqrt{-72}[/tex]
Factors of 72 are: 2x2x2x3x3
[tex]\sqrt{-72}\\=\sqrt{72}\sqrt{-1} \\=\sqrt{2\times2\times2\times3\times3}\ i\\= \sqrt{2^2\times3^2\times2}\ i\\=2\times3\sqrt{2} \ i \\=6\sqrt{2} \ i[/tex]
4) [tex]\sqrt{-24}[/tex]
Factors of 24 are: 2x2x2x3
[tex]\sqrt{-24}\\=\sqrt{24}\sqrt{-1} \\=\sqrt{2\times2\times2\times3}\ i\\= \sqrt{2^2\times2\times3}\ i\\=2\sqrt{2\times3} \ i \\=2\sqrt{6} \ i[/tex]
5) [tex]\sqrt{-84}[/tex]
Factors of 84 are: 2x2x3x7
[tex]\sqrt{-84}\\=\sqrt{84}\sqrt{-1} \\=\sqrt{2\times2\times3\times7}\ i\\= \sqrt{2^2\times3\times7}\ i\\=2\sqrt{21} \ i[/tex]
6) [tex]\sqrt{-99}\\[/tex]
Prime factors of 99 are: 3x3x11
[tex]\sqrt{-99}\\=\sqrt{99}\sqrt{-1} \\=\sqrt{3\times3\times11}\ i\\= \sqrt{3^2\times11}\ i\\=3\sqrt{11} \ i \\=3\sqrt{11} \ i[/tex]
50POINTS!!!!! HELP ASAP I ALREADY HAE HIS OVER DUE
1. Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different days. Peter’s Deliveries
(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept form? Show how you determined the equation. (b) Based on the linear model, predict how long it initially took Peter to deliver his packages (y-intercept). Approximately how much did his delivery time decrease per day (slope)? Complete sentences
Answer:
y - 12 = -3 (x - 6)
y = -3x +6
6 minutes
The delivery times decreased by 3 minutes each day
Step-by-step explanation:
Point Slope:
Let's pick a point first (6,12)
The Slope of the line is -3
y - y1 = m (x - x1)
y - 12 = -3 (x - 6)
Slope-intercept:
The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept
y - 12 = -3x + 18
y = -3x +6
y-intercept:
y = mx + b
y = -3x + 6
m = 6
6 minutes
Slope:
we already know the slope is 3
The delivery times decreased by 3 minutes each day
Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?
Answer:
270°
Step-by-step explanation:
(x , y) --> (y, -x)
90° clockwise rotation
270° anti-clockwise rotation
The area of on field is 16 acres, the area of the second field is 1 1/4 times bigger. A barn of wheat on the first field makes up 37 1/2 thousands pounds per acre, and on the second 1 2/15 as much per acre, how much more was gathered on the second field than the first?
Answer:
250 thousand pounds
Step-by-step explanation:
Given that:
Area of field 1 = 16 acres
Area of field 2 = 1 1/4 bigger than field 1
Barn of wheat on field 1 = 37 1/2 thousands pounds per acre
Barn of wheat on second field = 1 2/15 as much as field one per acre
Total pounds gathered on field 1 :
37 1/2 * 16 = 600 thousand pounds
Area of second field :
1 1/4 * 16 = 5/4 * 16 = 20 acres
Barn of wheat per acre = 1 2/15 * 37 1/2
= 17/ 15 * 75/2 = 42 1/2 thousand pounds per acre
Total = 42 1/2 * 20 = 850 thousand pounds.
850 - 600 = 250 thousand pounds
What is the solution to this system of equations?4x - 3y = -14 and x - 2y = -6
Answer:
Step-by-step explanation:
See a solution process below:
Explanation:
Step 1) Solve the second equation for
x
:
2
x
−
2
y
=
18
2
x
−
2
y
+
2
y
=
18
+
2
y
2
x
−
0
=
18
+
2
y
2
x
=
18
+
2
y
2
x
2
=
18
+
2
y
2
2
x
2
=
18
2
+
2
y
2
x
=
9
+
y
Step 2) Substitute
(
9
+
y
)
for
x
in the first equation and solve for
y
:
4
x
+
3
y
=
−
13
becomes:
4
(
9
+
y
)
+
3
y
=
−
13
(
4
×
9
)
+
(
4
×
y
)
+
3
y
=
−
13
36
+
4
y
+
3
y
=
−
13
36
+
(
4
+
3
)
y
=
−
13
36
+
7
y
=
−
13
−
36
+
36
+
7
y
=
−
36
−
13
0
+
7
y
=
−
49
7
y
=
−
49
7
y
7
=
−
49
7
7
y
7
=
−
7
y
=
−
7
Step 3) Substitute
−
7
for
y
in the solution to the second equation at the end of Step 1 and calculate
x
:
x
=
9
+
y
becomes:
x
=
9
−
7
x
=
2
The solution is:
x
=
2
and
y
=
−
7
or
(
2
,
−
7
)
The solution is:
x
=
2
and
y
=
−
7
or
(
2
,
−
7
)
-2/3x + 3/7 = 1/2
In this problem, is X 13/21?
If X is 13/21 what is the answer to this problem?
-2/3 x 13/21 + 3/7
If X isnt 13/21, what is X?
Answer:
x = - [tex]\frac{3}{28}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{2}{3}[/tex] x + [tex]\frac{3}{7}[/tex] = [tex]\frac{1}{2}[/tex]
Multiply through by 42 ( the LCM of 3, 7 and 2 ) to clear the fractions
- 28x + 18 = 21 ( subtract 18 from both sides )
- 28x = 3 ( divide both sides by - 28 )
x = - [tex]\frac{3}{28}[/tex]
Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&3(x+2)&=18 \\\\ B.&&x+2&=6 \end{aligned} A. B. 3(x+2) x+2 =18 =6 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C, Checked) C Multiply/divide both sides by the same non-zero constant (Choice D) D Multiply/divide only one side by a non-zero constant
Answer:
C Multiply/divide both sides by the same non-zero constant
Step-by-step explanation:
Given
[tex]A:\ 3(x + 2) = 18[/tex]
[tex]B:\ x + 2 = 6[/tex]
Required
How to get B from A
It can be seen that B is a factor of A.
And to get B from A, all you need to do is divide both sides of A by 3.
i.e.
[tex]\frac{3(x+2)}{3} = \frac{18}{3}[/tex]
[tex]x+2 = 6[/tex]
Hence, from the list of given options.
Option C answers the question because 3 is a non zero constant and both sides of the equation were divided by 3
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
40
Step-by-step explanation:
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answer:
A,B and C
Step-by-step explanation:
Pahola invests $3,500 in a money market account.The simple interest rate on her investment is 3.65%.How much will pahola's account be worth in 4 years?
Given:
Principal = $3500
Rate of simple interest = 3.65% = 0.0365
Time = 4 year
To find:
The amount.
Solution:
The formula for simple interest is
[tex]I=P\times r\times t[/tex]
where, P is principle, r is rate of interest and t is time in years.
Substituting P=3500, r=0.0365 and t=4, we get
[tex]I=3500\times 0.0365\times 4[/tex]
[tex]I=511[/tex]
Now,
[tex]Amount=P+I[/tex]
[tex]Amount=3500+511[/tex]
[tex]Amount=4011[/tex]
Therefore, the amount after 4 years in pahola's account is $4011.
Can someone help me? In this net, the two triangles are right triangles. All quadrilaterals are rectangles. What is its surface area in square units? Do not include units (square units) in your answer.
Answer:
Net Area = 168
Step-by-step explanation:
See attachment for complete question
I'll make reference to the attachment, when needed.
The shapes that make up the net are labelled 1 to 5.
So, to calculate the surface area of the net, we simply calculate the surface area of each label.
Label 1: Rectangle
Area = Length * Width
Area = 10 * 5
Area = 50
Label 2: Rectangle
Area = Length * Width
Area = 8 * 5
Area = 40
Label 3: Rectangle
Area = Length * Width
Area = 6 * 5
Area = 30
Label 4: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
Label 5: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
So, the net area is the summation of the calculated areas of label 1 to 5
Net Area = 50 + 40 + 30 + 24 + 24
Net Area = 168
Somebody please help not that much time left
Rita is hiking along a trail that is 13.7 miles long. So far she has hiked ond tenth of the trail.
How far has rita hiked
Answer: 1.37 miles
Step-by-step explanation:
13.7=100%
13.7/10=1.37=10%=1/10
Pumpkin pie is on sale for $12.50. How much will it cost to buy enough to feed 20 people? Please help me!
Answer:
$37.05
Step-by-step explanation:
thats what i got so it might not be right
I need help on both please and thank youuu
Leon receives a birthday gift of $50 from his parents. Each week he saves $5.00. How many weeks will it take for him to save $120? Select and equation from below that will help him determine how much he needs to save every week to save $120.00.
A) 5x + 50= 120.00
B) 50x +5.00 = 120
C) 120x + 50= 1200.00
D) 5x + 120.00= 50.00
Answer:
14 weeks. the equation would be a.
Step-by-step explanation:
120-50=70 70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.
Answer:
14 weeks
Step-by-step explanation:
Use the following pattern to answer the questions.
24.3, 24, 23.7, 23.4, _____, _____
Part A
What is the rule for the pattern?
A.
Add 0.3 to each term.
B.
Subtract 0.3 from each term.
C.
Add 0.03 to each term.
D.
Subtract 0.03 from each term.
Part B
Complete the next two terms in the pattern.
24.3, 24, 23.7, 23.4,
Choose...
,
Choose...