Answer:
16,22
larger number=22
smaller number=16
Step-by-step explanation:
let 2x-10=larger number
let x=smaller number
x+2x-10=38
Simplify
3x-10=38
+10 +10
Add 10 to both sides of the equation
3x=48
divide both sides by 3
x=16
First answer.
2x-10=22
2nd answer
Check your work:
16+22=38
It is correct.
Answer:
66 & -28
Step-by-step explanation:
x > y
x + y = 38
x = 10 - 2y
10 - 2y + y = 38
-y + 10 = 38
-y = 28
y = -28
x + (-28) = 38
x = 66
If you earned 2,580 for one month how much would you have left after you spent $1,200 on rent, $175 on utilities, and $200 on food?
Answer:
1005
Step-by-step explanation:
If you just kept subtracting from 2580 then the next and then the next number you would get 1005
Chelsea invests $7,373 in a savings account with a fixed annual
interest rate of 2.73% compounded 6 times per year. How long
will it take for the account balance to reach $8,921.74?
Answer:
Calculate one-time simple interest, and simple interest over time
Determine APY given an interest scenario
Calculate compound interest
Mrs. Koch is Improning in her Gols
Game. She makes about 60% of her putts.
If She has 10 putts,
What is the probability She misses
of them?
*
List the common multiples
of 2 and 4 up to 20.
Answer:
2=(2,4,6,8,10,12,14,16,18)
4=(4,8,12,16)
t screen
ze store
how
for?
4. Matthew has 18 sets of baseball cards. Each
set has 12 cards. About how many baseball
cards does Matthew have?
Answer:
The answer is 216 i did the math the other person is correct please give them brainliest <3
Step-by-step explanation:
Tell whether the angles are vertical or adjacent. Then find the measure of x.
Answer:
adjacent. x=55
Step-by-step explanation:
Answer:
Adjacent
x=55
Step-by-step explanation:
Vertical angles are made by the same lines but are opposite of each other. These angles are not opposite, and thus they are not vertical. Adjacent angles, on the other hand, share a common side and vertex. In other words, they touch. So, since these share both a common side and vertex, they are adjacent.
Additionally, the large-angle (that contains the smaller, adjacent angles) is a right angle, meaning that it has a measure of 90 degrees. So, if we know that part of the angle is 35 degrees, then the missing angle must be equal to 90-35. 90-35=55 degrees.
What is the area of this polygon? A = 400 cm² A = 338 cm² A = 316 cm² A = 238 cm².
Area of a polygon can be derived from sum of area of its sub-parts. The area of the considered polygon is given by: Option C: 316 cm²
Some polygon are of standard shapes like rectangle, triangle, parallelogram etc, but some are not standard and can be of any shape. For finding their area, we divide that non-standard polygon in parts such that it gets divided in standard polygons.
Then, we get:
Area of non-standard polygon = sum of all standard polygons forming that initial polygon.
For the given case, dividing the polygon in the shapes whose area we know(which is called here as standard polygons), as shown in the figure attached below, we get:
Area of polygon = Sum of area of those composing parts.
Area of polygon = Area of upper triangle ABC + Area of bottom rectangle BDEF
Height of ABC triangle = height of polygon - height of rectangle
Height of ABC = 18 - 14 = 4 cm
Base of ABC = length of BC = length of BD - length of CD = 21-10 = 11 cm
Thus, area of ABC = [tex]\dfrac{1}{2} \times base \times height = \dfrac{1}{2} \times 4 \times 11 = 22 \: \rm cm^2[/tex]
Area of rectangle BDEF = length times width = [tex]14 \times 21 = 294\: \rm cm^2[/tex]
Thus, area of polygon = Area of ABC + Area of BDEF = 22 + 294 cm²
Area of polygon = 316 cm² (option C)
Learn more about total area here:
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Answer: 338 cm^2
Hope this helps! :)
Please mark me brainliest.
Please help with this
Answer:
17
Step-by-step explanation:
For the second term in the sequence, use n=2. The formula tells you ...
[tex]b(2)=b(2-1)+1\\\\b(2)=b(1)+1\\\\b(2)=16+1\\\\\boxed{b(2)=17}[/tex]
The second term of the sequence is 17.
_____
Additional comment
The recursive relation is telling you that each term of the sequence is 1 more than the term before, and the first term is 16. This means the first several terms of the sequence are ...
16, 17, 18, 19, ...
The second term is 17.
Aruna heard about the book sale from Johannah and went to the bookstore the next day. She was saddened to learn when she got there that the books had been marked up $3.99 from their original prices. Find the total of the books (with tax 13%) now.
a) Stamped $18.99 b) One Crazy Summer $15.99 c) A girl named Disaster $21.99
Answer: For stamped, the answer is $25.96. For One Crazy Summer, the answer is $20.49. For A Girl Named Summer, the answer is $26.49.
Step-by-step explanation:
The equation is simple. Add the $3.99 to the original price, then add 13%.
X+3.99+13%, and X equals the original price.
Hope this helps!
32 divided by 11 is it two or 10 Please help me
Answer:
2 with a remainder of 10
Step-by-step explanation:
11 goes into 32 2 times which is 22. Then there is 10 leftover as a remainder.
Help please! Find the perimeter of the rectangle.
Answer:
34
Step-by-step explanation:
We know the area is 52 cm and that one length is 13cm. This means that in order to find the missing length, we need to divide 52 by 13. this gives us 4, meaning that the missing side is 4 cm.
Now we add 26 (Double of 13 because it is both sides) to 8 (Double of 4 because they are same lengthening sides)
We then get 34.
Hope this helps :)
Simplify: ∛(2) × 2^(-1/13) × ¹²√(32)
[tex]simplify : \sqrt[3]{2} \times {2}^{ - \frac{1}{13} } \times \sqrt[12]{32} \\ [/tex]
Step-by-step explanation:
Given that:
∛(2) * 2^(-1/13) * ¹²√(32)
= ∛(2) * 2^(-1/13) * ¹²√(2⁵)
[since, ⁿ√(a) = a^(1/n)]
= 2^(1/3) * 2^(-1/13) * 2^{5 * (1/12)}
= 2^(1/3) * 2^(-1/13) * 2^{(5*1)/12}
= 2^(1/3) * 2^(-1/13) * 2^(5/12)
[since, a^m * a^n = a^(m+n)]
= 2^{(1/3) - (1/13) + (5/12)}
Take the LCM of 3, 13 and 12 is 156.
= 2^[{(1*52) - (1*12) + (5*13)}/156]
= 2^{(52 - 12 + 65)/156}
= 2^{(117 - 12)/156}
= 2^(105/156)
Now reduce the power fraction in simplest form by cancelling method.
= 2^(35/52) (or)= {2^(35)}^(1/52) (or)
= ⁵²√{2^(35)}
Answer: Hence, the simplified form of ∛(2) * 2^(-1/13) * ¹²√(32) = ⁵²√{2^(³⁵)}.
Please let me know if you have any other questions.
Applying the law of indices to the roots, we have that
[tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex]
So,
[tex]\sqrt[3]{2}[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]\sqrt[12]{32}[/tex] = [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]32^{\frac{1}{12} }[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex](2^{5} )^{\frac{1}{12} }[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]2^{\frac{5}{12} }[/tex]
Since we have the same base in all three numbers, we have that from the law of indices, [tex]a^{x}[/tex] × [tex]a^{y}[/tex] = [tex]a^{x + y}[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]2^{\frac{5}{12} }[/tex]
[tex]= 2^{\frac{1}{3} + (-\frac{1}{13}) + \frac{5}{12} } \\= 2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }[/tex]
Taking L..C.M of the denominators of the exponents, the L.C.M is 156.
So,
[tex]2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }\\= 2^{\frac{52 - 12 + 5 X 13}{156} } \\= 2^{\frac{52 - 12 + 65}{156} }\\= 2^{\frac{40 + 65}{156} }\\= 2^{\frac{105}{156} }[/tex]
Simplifying the exponent, we have
[tex]2^{\frac{105}{156} } \\= 2^{\frac{35}{52} }[/tex]
So, [tex]\sqrt[3]{2}[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]\sqrt[12]{32}[/tex] = [tex]2^{\frac{35}{52} }[/tex]
Learn more about indices here:
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ok but like any middle schooler can one of u guys help me on this problem bc when i do it my teacher says its wrong so what percent of 15 is 60 ?
Answer:
9
Step-by-step explanation:
If f (x) = x2 - 3x, what is the value of f (-2)? work it out.
Given Function is
[tex] \: [/tex]
[tex] \frak{f(x) = {x}^{2} - 3x}[/tex][tex] \: \: [/tex]
Now , Put The Value Of x = - 2
[tex] \: \: [/tex]
[tex] \frak{f(x) = {x}^{2} - 3x }[/tex]
[tex] \: \: [/tex]
[tex] \frak{f( \red{ - 2}) = { (\red{ - 2})^{2}} - 3 ( \red{- 2})}[/tex]
[tex] \: \: [/tex]
[tex] \frak{f{ (\red{ - 2})} = \red{ - 4} + 6}[/tex]
[tex] \: \: [/tex]
[tex] \boxed{\frak { \large \: f( \red{ - 2}) = \red 2}}[/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
[tex] \: \: [/tex]
Hope Helps! :)
Given the data from the question, the value of the function f(–2) is obtained as 10
Data obtained from the question f(x) = x² – 3xValue of f(–2) =…? How to determine the value of f(–2)f(x) = x² – 3xx = –2Substituting the the value of x into the expression, we have
f(x) = x² – 3x
f(–2) = (–2)² – 3(–2)
f(–2) = 4 + 6
f(–2) = 10
From the calculation made above, we can conclude that the value of f(–2) is 10
Learn more about function:
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How do we do this please help.
Answer: he has 30 sweets
Step-by-step explanation:
3:2 - five parts all together
50 divide 5 = 10
10 x 3 because the 3 in 3:2
=30
The triangles are similar.
What is the value of x?
Answer:
x = 4
Step-by-step explanation:
Let's look at the ratio of the hypotenuse of both triangles:
25 : 5 = 25/5 = 5
we can see that the measures of the sides of the larger triangle are 5 times those of the smaller triangle.
Therefore, 3x + 8 = 4 x 5
⇒ 3x + 8 = 20
⇒ 3x = 20 - 8 = 12
⇒ x = 12 ÷ 3 = 4
⇒ x = 4
Answer:
x=4
Step-by-step explanation:
As you can see, these triangles are demonstrating a scale factor. It is upscaling by 5. To find out what x is equal to, we need to upscale the smaller side. In this scenario, we have to multiply 4 by 5. This will get you 20. Now we can make an equation.
20=3x+8
We can subtract 8 from both sides.
Now we have:
12=3x
now dividing 12 by 3, we get
x=4
Select all the expressions that are equivalent to (screenshot below)
Step-by-step explanation:
Use the Distributive Property:
[tex]-2(5x-1)+7(5x-1)-3(5x+1)[/tex]
[tex]-10x+2+35x-7+15x-3[/tex]
P is correct.
Simplify:
[tex]40x-8[/tex]
T is correct using FOIL or distribution.
Use the FOIL method to simplify:
Use 5x-1 then multiply with -2, 7, and -3.
Note: With -3, -5x + 1 is in the parenthesis, we need to change -3 to 3.
Changing -3 to 3 will equal the distribution of -3(-5x+1).
Our expression: [tex](5x-1)(-2+7+3)[/tex]
S is correct.
A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and the team begins to unload them immediately. By 3:30 p.m. the warehouse contains 90 boxes. Suppose the boxes are unloaded at a constants rate. How many boxes are in the warehouse when the truck is finally empty at 8:30 p.m.
Answer:
90 boxes.
Step-by-step explanation:
Simplify the equation. You get 1 box per 6 minutes.
what is 13/4 into a decimal
Answer:
3.25
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
through ling division, the answer is 3.25.
Nolan has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $263.94.
He buys 4 bicycle reflectors for $6.33 each and a pair of bike gloves for $35.58.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.79 each.
Answer:
hii I am new can be friends
what is the difference between 2 3\4 an 4 1\4
Answer:
The numerator of the first fraction 8 is greater than the numerator of the second fraction 3 , which means that the first fraction 812 is greater than the second fraction 312 and that 23 is greater than 14 .
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
[tex]2 \frac{3}{4} - 4 \frac{1}{4} \\ = > \frac{11}{4} - \frac{17}{4} \\ = > \frac{ - 6}{4} \\ = > \frac{ - 3}{2} [/tex]
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point. A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees. Law of cosines: By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree. 30 degrees 39 degrees 46 degrees 50 degrees.
Law of cosine is applicable to all the triangles. The value of the angle by which the boat turns is 39.195°.
What is the law of cosine?Law of cosine helps us to find the third side of the triangle when 2 sides and an angle are known. It is formulated as,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
a, b, c is the sides of the triangle and,
[tex]\gamma[/tex] = angle opposite c
A.)
Given to us
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping.
When it stopped, the boat was 18 miles from its starting point.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
[tex]\theta = x^o[/tex]
Substitute the values,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]
Hence, the value of the angle by which the boat turns is 39.195°.
B.)
Given to us
Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock.
The angle between 25 miles and 28 miles is x degrees.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
[tex]\theta = x^o[/tex]
Substitute the values,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]
Hence, the value of the angle by which the boat turns is 39.195°.
Learn more about the Law of cosine:
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Answer:
Its 39 degrees on Edge
Step-by-step explanation:
Your welcome
i don't know this help pls ..
Answer:
A or the total number of spikes Bella has
Answer: The number of Beetiebots to decorate
Step-by-step explanation:
whats the sqaure root of 1386
Answer: " [tex]3\sqrt{154}[/tex] " ;
or, write as: " 37.229 " .
__________
Step-by-step explanation:
The digits of "1386" ;
add up to: " (1 + 3 + 8 + 6) " ;
= " (1 + 3) + 8 + 6 " ;
= " (4) + 8 + 6 ;
= " (4 + 8 + 6) " ;
= " (4 + 8) + 6) " ;
= " (12) + 6 "
= "18 " ;
"18" is divisible ("evenly") ; by both: "2" : {" 18 ÷ 2 = 9 ".} ;
and by: "3" : {" 18 ÷ 3 = 6 ".}
Note: If a number is "evenly divisible by both: "2" and "3" ; then said number is divisible by "6" ;
_________
Other: If the sum of the digits of a number result in a number that is evenly divisible by "9" ; then said number is evenly divisible by "9" ;
_________
The sum of the digits of "1386" is: "18" ;
and: the sum of the digits of: "18" ; ⇒ " 1 + 8 = 9" .
{and: " 9 ÷ 9 = 1 ".}.
_________
Note: If number that ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "4" ; then, the entire said number is evenly divisible by "4".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 4 = 21.5" ; so we know that:
"1386" is not evenly divisible by "4".
_________
Note: If a number ends with the digit: "5" ; or "0" ; then the number is evenly divisible by: "5" . The number: "1386" ; does not meant either of these criteria.
_________
Note: If a number ends with the digit: "0" ; then the number is evenly divisible by: "10" . The number: "1386" ; does not meant this criterion.
_________
Note: If a number ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "7" ; then, the entire said number is evenly divisible by "7".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 7 = 12[tex]\frac{2}{7}[/tex] " ; so we know that:
"1386" is not evenly divisible by "7".
_________
Note: If a number ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "4" ; then, the entire said number is evenly divisible by "4".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 4 = 21.5" ; so we know that:
"1386" is not evenly divisible by "4".
_________
Note: If a number ends with the last 3 (three) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "8" ; then, the entire said number is evenly divisible by "8".
Note: The number given: "1386" ; ends with: "386" ;
and: " 386 ÷ 8 = 28[tex]\frac{1}{4}[/tex] " ; so we know that:
"1386" is not evenly divisible by "8" ;
_________
Since: we know that "1386" is evenly divisible by "9" ;
and "9" is a perfect square;
{since: " 3² = 3 * 3 = 36 " ; and since: " [tex]\sqrt[]{9} = 3[/tex] " }.
Let's see what the other factor of "1386" is when "9" is a factor:
" 1386 ÷ 9 = 154 " ;
_________
So: √(154) ;
= √9 * √(154) ;
= 3 * √(154) ;
Let's look at the factors of 154:
_________
⇒ 1 & 154; 2 and 77;
List this factors of "154" as: 1, 2, 77, 154;
→ none of which are "perfect squares" ;
→ So, the answer is: " [tex]3\sqrt{154}[/tex] " ;
or: further calculate with a calculator:
→ " [tex]3 * \sqrt{154} =[/tex][tex]37.2290209379725698[/tex] " ;
→ round to: " 37.229 ".
_________
Hope this is helpful. Best wishes!
_________
Solve number 4 please.
Answer:
25%
Step-by-step explanation:
4/16 days were under 78 degress
An account earns simple interest.
$600 at 5% for 2 years
a. Find the interest earned.
$=?
b. Find the balance of the account.
$?
Answer:
a= $60
b= $660
Step-by-step explanation:
0.05 x 600 = 30
30x2 =60
0
The diagonal of rectangke ABCD measures 2 inches in
kerath
What is the length of line segment AB?
B
O 1 inch
OV3 inches
60°
O4 inches
O 43 inches
30°
А
D
Answer:
Is there a picture that goes with this because we can't solve with the information given
Step-by-step explanation:
Please upload a picture or comment more details and I will edit my answer to solve Thanks :)
The length of the line segment AB is √3 inches.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given, length of the diagonal of rectangle ABCD = 2 inches.
We have to find the length of the line segment AB.
We know, opposite sides of a rectangle are equal.
Thus, AB = CD
Now consider triangle DCB, which is a right angled triangle
In triangle DCB, angle C is 90°
Angle D is 30°
Angle B is 60°
By Pythagoras theorem,
sin θ = opposite/hypotenuse
sin 60° = CD/BD
√3/2 = CD/2
CD = 2(√3/2)
CD = √3
Thus, AB = CD = √3
Therefore, the length of the line segment is √3 inches.
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96+(-96)+32÷32-25×25
Answer:
2.1use bodmas
32/32=1
-25*25=-625
96+-96==0
ans=1-625
=-624
Answer:
- 624
Step-by-step explanation:
96+(-96)+32/32 - 25*25
-> 0+32/32-(25)(25)
-> 32/32 - (25)(25)
-> 1-(25)(25)
-> 1- 625
-> -624
I need answers for these geometrical things
Yeah
HELP ME PLEASE I REALLY NEED THE ANSWER! THIS IS REALLY HARD! (THE ANSWER IS NOT A I HAVE TRIED IT AND IT WAS WRONG AND ITS AN ANSWER ONCE QUESTION SO I HAVE TO COMMENT IT)
Answer:
The answer is E
Step-by-step explanation:
hope it helps
Answer:
Option E
(-1, 0, 1, 2, 3, 4, 5, 6)
Step-by-step explanation:
Given;-2 < n ≤ 6So,
n is less than (-2) but greater than or equal to 6
Now, the possible value of n
-1, 0, 1, 2, 3, 4, 5, 6
Thus, (-1, 0, 1, 2, 3, 4, 5, 6) are the possible values of n
-TheUnknownScientist 72