Answer:
t = -1/8.
Step-by-step explanation:
t / 5/12 = -3/10 Invert the 5/12 and multiply:
12t / 5 = -3/10
Cross multiply:
12t * 10 = 5 * -3
120t = -15
t = -15/120 = -1/8.
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]
If a 90°degree angle is bisected, the two angles created by the bisector will equal?
Answer:
45 degrees
Step-by-step explanation:
when an angle is bisected both angles formed are equal, so 90/2=45
Which expression is equivalent to 28 + 64?
2(14 + 40)
2(14 + 40)
4(7 + 16)
4(7 + 16)
4(24 + 32)
4(24 + 32)
8(20 + 56)
8(20 + 56)
Answer:
4(7 + 16)
Every other answers does not equal 92
28+64=92
4(7+16)
7+16=23
23x4=92
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
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
Select the correct answer.
Which statement is false?
A.
The inequality sign always opens up to the larger number.
B.
The greater number in an inequality is always above the other number on the vertical number line.
C.
The smaller number in an inequality is always located to the left of the other number on the horizontal number line.
D.
The inequality sign always opens up to the smaller number
Answer:
I think it might be C or B
Step-by-step explanation:
Hope this helped have a nice day :)
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
40
Step-by-step explanation:
Find the slope of the line that passes through (7,2) and (3,3)
Answer:
1 over 4
Step-by-step explanation:
Answer:
the answer is [tex]\frac{1}{-4\\}[/tex]
Step-by-step explanation:
slope= [tex]y_{2}[/tex]-[tex]y_{1}[/tex]
[tex]x_{2}[/tex]-[tex]x_{1}[/tex] so 3-2=1 and then 3-7=-4
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:
PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
figure out the miles per hour (mph)
1. what is the mph if the time is 1 hour 42 min and the distance is 935 miles?
2. what is the mph if the time is 36 min and the distance is 330 miles?
Answer:6.67 for number 1
Step-by-step explanation:
Answer:
Answer 1 is 550
and 2 is also 550
Step-by-step explanation:
Devon wants to build a rope bridge between his treehouse and Cheng's treehouse.
Suppose Devon's treehouse is directly behind Cheng's treehouse. At a distance of 20
meters to the left of Devon's treehouse, an angle of 52° is measured between the two
treehouses. Find the length of the rope.
A. 36.7
B. 4.2
C. 16.9
D. 25.6
how do solve slope and for the y axis?
Answer:
Slope = rise/run or y2-y1/x2-x1 (change in y over change in x)
Y-intercept (I'm assuming you mean y-intercept instead of y axis) = if there's a graph, find where the line intersects the y axis, if there isn't a graph, use y=mx+b to solve for b, the y-intercept.
Hope this helps!
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:
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:
Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington
Answer:
10) It increased by appoxamately 17%.
11) 255 decreased by 20%
12) 15 increased by [tex]66\frac{2}{3}[/tex]%
13) $9,450
14) $149.8
15) $238.5
Step-by-step explanation:
10) 170 is greater than 150 by 25. 25 is [tex]16\frac{2}{3}[/tex]% of 150, so it increased by appoxamately 17%.
11) 225 is decreased by 45. 45 is 20% of 100, so 255 decreased by 20%
12) 15 is increased by 10. 10 is [tex]66\frac{2}{3}[/tex] of 15, so 15 increased by [tex]66\frac{2}{3}[/tex]%
13) 5% of 9,000 is 450. 450 + 9,000 is $9,450
14) 7% of 140 is is 9.8. 140 + 9.8 = $149.8
15) 6% of 225 is 13.5. 225 + 13.5 = $238.5
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
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
PLEASE HELP ME ANSWER THESE 2 QUESTIONS PLEASE PLEASE PLEASE ASAP
Answer:l
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:
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
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
PLEASE HELP I AM TIMED!
Answer:
i believe it would be 45 is greater than or equal to 3x + (3x-1) + [(3x-1)-4]
I hope you pass. Plz correct me If I am wrong
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
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
pls help will give brianly for help Find the quotient:
–20 ÷ 5
Answer:
The answer is -4 :)
Step-by-step explanation:
Answer:
-20 divided by 5 = -4
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)
What is an equation of the line that passes through the points (-4, -1)and (3, -8)
Put your answer in fully reduced form.
This does not make sense to me
[tex]\frac{3}{11}[/tex]
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...
I added pics cause it’s 2 in the morning.. I’m having back pain, thigh pain, cramps EVERYWHERE.. headache and just finished babysitting my baby brother.. help a gurl out please
Answer:
7^39
Step-by-step explanation:
[tex](7^{13})^{3} * 7^{0} \\\\(7^{13*3}) * 1 \\\\=7^{39}[/tex]