Answer:
14.
Step-by-step explanation:
1. RS=RU+US, - US is unknown yet;
2. the property of bisector is:
RU/US=RT/ST;
3. according to the property above:
US=RU*ST/RT; US=12*6/9=8;
4. RS=RU+US; ⇒ RS=6+8=14.
A box of bolts weighs 12.5 kg and the box weighs 400 g, what is the weight of the bolts?
Answer:
12100 g or 12.1 kg
Step-by-step explanation:
You convert 12.5 kg to grams. Then you subtract what you get (which should be 12500 g) by 400 g.
The total cost of four pens and six mechanical pencils is $16.20. The cost of each pencil is 70 cents. Using an arithmetic approach, find the cost of a pen.
Answer:
300 cents or $3
Step-by-step explanation:
Let p be the cost of one pen and m be the cost of one mechanical pencil. We can use this to set up a system of equations:
4p+6m=1620 (convert $16.20 to cents by multiplying it by 100)
m=70
We can solve this using substitution (substitute 70 for m):
4p+6(70)=1620
4p+420=1620
Subtract 420 from both sides
4p=1200
Divide both sides by 4
p=300 cents or $3
How many ways can four men and four women can be seat in a row such that no two men sit next to each other
There are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.
OrganizationTo determine in how many ways can four men and four women can be seat in a row such that no two men sit next to each other, the following organizational chart must be made:
M - W - M - W - M - W - M - W = 1W - M - W - M - W - M - W - M = 2Any other mode of organization will assume the presence of two men sitting next to each other.Therefore, there are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.
Learn more about organization in https://brainly.com/question/12825206
A shop sells party hats and masks. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. Find the cost of each hat and each mask.
Answer:
Both the hat and mask cost $1Step-by-step explanation:
Let the cost of each hat is x and each mask is y.
According to the question, set the equations:
10x + 20y = 308x + 10y = 18Double the second equation and subtract the first one:
8x*2 + 10y*2 - 10x - 20y = 18*2 - 3016x - 10x = 36 - 306x = 6x = 1Find the value of y:
10*1 + 20y = 3020y = 30 - 1020y = 20y = 1Equations are
10h+20m=30=>h+2m=3--(1)8h+10y=18=>4h+5m=9--(2)Eq(1)×4
[tex]\\ \tt\hookrightarrow 4h+8m=12\dots(3)[/tex]
Subtract (3) and (2)
[tex]\\ \tt\hookrightarrow 3m=3[/tex]
[tex]\\ \tt\hookrightarrow m=1[/tex]
Put in eq(1)
[tex]\\ \tt\hookrightarrow h+2=3[/tex]
[tex]\\ \tt\hookrightarrow h=1[/tex]
8.2•10^17 and 4.1•10^12
Answer:
Step-by-step explanation:
1st one is 820000000000000000, or 8.2e+17
2nd one is 4,100,000,000,000, or 4.1e+12
Pls Pls help me:
An observer on a clifftop 57m high observes a sailing boat at sea. The angle of depression to the shop is 15 degrees. Five minutes later the angle of depression was 25 degrees.
A) Is the boat sailing towards or away from the cliff?
B) Assuming the boat is sailing in a straight line, determine to the nearest meter how far the boat sailed between the two sightings?
Answer:
Here's the answer.....hope you understand....
Which pay is equivilant to 16$ per hour. PLEASE ANSWER QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
If you make $16 per hour, then your yearly salary would be $31,200.
Step-by-step explanation:
What number i am if i am a factor of 70 and i'm between 30 to 40
Answer:
35............. ...........~
Answer:
35
Step-by-step explanation:
Because 75 only has 8 factors and 35 is the only factor of 70 in the 30's through 40's.
If you want to know the rest they are
1,2,5,7,10,14,35 and 70.
Have a great day :}
Pls help me I’ll give 20 points
Answer:
26 degrees
Step-by-step explanation:
Triangle A:
So the triangle is 24 degrees and it is an isosceles triangle so the other 2 angles are equal. All the angles in a triangle add up to 180 degrees.
180-24=156 degrees
156 divided by 2 because of the 2 angles = 78 degrees
The angles in Triangle A are 78 degrees which means one corner of the Triangle X is 78 degrees as it is vertically opposite.
Triangle B:
B= 49 degrees and the triangle is isosceles as well. 49 x 2 for the other angle which would be the same is 98 degrees. We would then do
180 -98 = 82 degrees
This means the other angle in Triangle X is 82 degrees
Triangle X:
72 degrees is the top left angle and 82 degrees is the top right angle so you do 72+82= 154 degrees
180-154= 26 degrees
Hope this helps
How tall is this table?
Answer:
Table: 105 cm
Step-by-step explanation:
"m" = mouse
"c" = cat
"t" = table
equations:
t + c - m = 120
t - c + m = 90
___________
2t = 210
t = 210/2 = 105
Hope this helps
Four is equal to half of the sum of a number n and 22. What is the number n ? n = 30 n = 24 n=−14 n=−20.
Answer:
The answer is n = -14 .
Step-by-step explanation:
4 = 1/2(n + 22)
4 = 1/2n + 11
-7 = 1/2n
-7 / 1/2 = -14 = n
To check your work:
4 = 1/2(-14 + 22)
4 = 1/2(8)
4 = 4
Find the sales price of the following item. Choose the correct answer. An oil filter listed at $2. 89, marked down 31% $.
Answer:
Sales price of the item would be approximately $2.
Step-by-step explanation:
Since we have given that List price of the item = $2.89
Rate of decline = 31%
So, Amount reduced by $0.8959
So, Sales price of the item will be $2
Hence, Sales price of the item would be approximately $2.
please mark brainliest if i got it correct i need 3 more!
if ac = 8x 14 and ec =2x + 11 solve for x
Equivalent expressions are expressions that have equal values
The value of x is 25/6
How to calculate the value of xFrom the question, the values of ac and ec are equivalent
So, we have:
8x - 14 = 2x + 11
Collect like terms
8x - 2x = 14 + 11
Evaluate the like terms
6x = 25
Divide both sides by 6
x = 25/6
Hence, the value of x is 25/6
Read more about equivalent expressions at:
https://brainly.com/question/2972832
In one week, Jenny workers a total of 22 hours at a movie theater and a car wash. Jenny earned $8.50 per hour at the movie theater and $8.00 per hour at the car wash. She earned a total of $181 for the week. How many hours did Jenny work at the car wash.
Answer:
10 hours
Step-by-step explanation:
12 hours theater = $96.00
10 hours car wash = $85.00
total = 22hours = $181.00
Please help me answer this
Answer:
B
Step-by-step explanation:
4x - 3y = 9 → (1)
4x + y = 7 → (2)
Rearranging (1) in terms of x or y will involve using fractions, which we want to avoid if possible.
However, using equation (2) avoids introducing fractions.
In (2) subtract 4x from both sides
y = 7 - 4x → (3)
Then substitute y = 7 - 4x into (1) and proceed
Can you help me please?
Answer:
3 3/5
Step-by-step explanation:
12/5 × 9/6
2/5 × 9
18/5
= 3 3/5
A computer is on sale for $600. This is 75% of its original price. What was the original price of the computer?
Answer:
800
Step-by-step explanation:
There are 10% percent of 50 duckies that have stars if u split the duckies
How many duckies have stars? Please help im so confuse on this :(
Answer:
2 or 3). ( or there answer could be 5 because the question isn't very clear
Step-by-step explanation:
first you need to figure out 10 percent of 50 which is 5. than the. question says they split the duckies but 5 is not splittable so there would be either 2 or 3.
What is x?
x/y= 8/y - 1/y
Answer:
x = 7
Step-by-step explanation:
hope this helps
Answer:
x/y=8/y-1/y-->x/y=8-1 /y -->x/y=7/y-->x×y=y×7-->xy=7y -->x=7y/y-->x=7Answer
A smartphone costs $180. Sales tax is 6%. What is the total cost, including tax?
show through prime factorising that 899 is not a prime number
Find g[f(-2)], if f(x) = x^2 and g(x) = 3x – 5.
A. -17
B. -7
C. 7
D. -44
Answer:
g[f(-2)] = 7
Step-by-step explanation:
f(x) = x^2
g(x) = 3x – 5
g[f(-2)]
First find f(-2) = (-2)^2 = 4
Then find g(4) = 3(3) -5 = 12-5 = 7
[tex]f(x)=x^2;g(x)=3x-5\\\\g[f(-2)]=3\times (f(-2))^2-5=3\times(-2)^2-5=3\times4-5=7[/tex]
Answer: c
hope it helps
PLS HELP ME ASAP I WILL GIVE YOU 43 POINTS
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
She shaded 1/8 of the fraction strip.
Enjoy ;)
find the slope of the line passing through (-4, 5) and (-8,-5)
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{-8+4}\implies \cfrac{-10}{-4}\implies \cfrac{5}{2}[/tex]
Last month$ Samkelo spent 39 hours watching TV and 36 hours playing sport. During the same months, Nkanyezi spent 42 hours watching TV and 36 hours playing sport. Write down the ratios of time spent watching TV to time spent playing sport of each child. (Ratios must be in their simplest form)
Answer:
7is to 6
Step-by-step explanation:
u decide number with an common factor
I need help. Only do number 20.
Answer:
2z-8y
Step-by-step explanation:
A rectangular television screen is 3 feet wide and 2-10 feet long. What is the area of the
screen?
Answer:
are uh sure your question is correct??
please help!!!!! :( i have 22 questions left :(.
(19 if yall answer these 3)
Answer:
Step-by-step explanation:
1)
there are 16 coins total.
10/16 chance to choose a dime
1/15 chance to choose a penny
1/24 answer is D
2)12/36*78
26 B
3) around 4/32 of buttons are orange.
multiply by 64
8 answer is B
Which is true regarding Adi’s use of algebra tiles? She used the algebra tiles correctly. She did not represent the two original factors correctly on the headers. The signs on some of the products are incorrect. Some of the products do not show the correct powers of x.
The correct statement about Adi’s use of algebra tiles is She used the algebra tiles correctly.
Given
Adi used algebra tiles to represent the product
(-2x-2) (2x-1)
ProductThe number or expression results from the multiplication together of two or more numbers or expressions.
The correct way to find the product function is;
[tex]\rm =(-2x-2) (2x-1)\\\\=-2x(2x-1)-2(2x-1)\\\\= -4x^2+2x-4x+2\\\\= -4x^2+2x+2[/tex]
Hence, the correct statement about Adi’s use of algebra tiles is She used the algebra tiles correctly.
To know more about the product click the link given below.
brainly.com/question/24593936
Answer:
It's A
Step-by-step explanation:
from the person above me since I know some people do not like reading to get it
There are 8 boxes of pasta on a shelf. Each serving of pasta is 16 of a box.
How many servings of pasta are there in the boxes on the shelf?
Answer: 1 1/3 servings of pasta on the shelf.
Step-by-step explanation:
All you need to do is 8*1/6 because if there are 1/6 of a serving of pasta in each box and you have 8 boxes, then you need to multiply to find the number of servings.
8*1/6=1 1/3 or 1.(3)
(3) or any other number in parentheses next to a decimal means it's a repeating decimal, and it never ends.
Answer:
Its 1 1\3
Step-by-step explanation: