Answer:
4/11
Step-by-step explanation:
Let :
x = numerator
x + 7 = denominator [tex]\frac{x}{x + 7}[/tex]
[tex]\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}[/tex]
[tex]\frac{x + 1}{x + 11} = \frac{1}{3}[/tex]
cross multiply
3(x + 1) = x + 11
3x + 3 = x + 11
combine like terms
3x - x = 11 - 3
2x = 8
x = 4
x + 7 = 4 + 7 = 11
original fraction = 4/11
URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!
Answer:
y-1 = 2(x+2)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -1 = 2(x - -2)
y-1 = 2(x+2)
Find the distance between (1, -5) and (-6, 2).
**If necessary, round to the nearest tenth**
98 units
34 units
9.9 units
5.8 units
Answer:
d = 9.9 units
Step-by-step explanation:
Picture a right triangle with one acute vertex at (1, -5) and the other at (-6, 2). Going from one to the other, we see a change in x (run) of 7 and a change in y of 7. Applying the Pythagorean Theorem, we find the distance between the two points as follows:
d = √(7² + 7²) = 7√2, or approximately 9.9 units.
Kiran's father is 65 years old. He is 8 years older than three
times Kiran's age. Find Kiran's age?
Answer:
let kiran's age be x
kiran's father's age is 65
acc.to ques
kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows
8+3x =65
therefore
3x =65-8
3x =57
x =57/3
x= 19 ans
so kiran's age is 19 years.
Answer:
kiran is 19 years old.
Step-by-step explanation:
kiran's father age = 65
let kiran's age be x
kiran's father is 8 years older than three times kiran's age means 8 + 3x
so according to the question equation is
65 = 8 + 3x
65 - 8 = 3x
57/3 = x
19 = x
therefore kiran's age is 19 years.
One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.
Please please help with this no links please
Answer:
f/9
Step-by-step explanation:
n + 5/5 = f + 9/9
do cross multiplication
5(f+9)=9(n+5)
5f+45=9n+45
5f=9n+45-45
5f=9n+0
f/9 = n/5
The probability model based on experimental probability for randomly selecting a marble from a bag is P(green)=18/40, P(Blue)=14/40, and P(white)=8/40. About how many marbles of each color are in the bag if there are 60 total marbles.
A. 27 green, 12 blue, 21 white
B. 12 green, 27 blue, 21 white
C. 27 green. 21 blue, 12 white
D. 27 white, 12 blue, 21 green
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
it the only one that make sense
Find mZA and mZB.
Please help :)
Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:
[tex]4y-4+3y=52[/tex]
1) Solve for y
[tex]4y-4+3y=52[/tex]
Combine like terms
[tex]7y-4=52[/tex]
Add 4 to both sides to isolate 7y
[tex]7y-4+4=52+4\\7y=56[/tex]
Divide both sides by 7
[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]
Therefore, y is equal to 8.
2) Solve for angles A and B
Angle A:
[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]
Angle B:
[tex]3y\\=3(8)\\=24[/tex]
I hope this helps!
Round the answer to the nearest hundredth: 3.21 + 3.62 ÷ 2.43
PLS HELP WILL GIVE MOST POINTS
Answer:
4.7
Step-by-step explanation:
3.21 + 3.62 ÷ 2.43
[tex]3\frac{21}{100}+1\frac{119}{243}[/tex]
[tex]4\frac{ 17003}{24300}[/tex]
[tex]4\frac{ 17003}{24300}=4.6997119341564[/tex]
4.6997119341564 rounds to
4.70
Answer is 4.70
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
3.21 + 3.62 ÷ 2.43
Convert decimal into fraction,
[tex]\dfrac{321}{100} + \dfrac{362}{100}\div\dfrac{242}{100}[/tex]
[tex]\dfrac{321}{100} + \dfrac{362}{242}[/tex]
[tex]\dfrac{(321)(242)+(362)(100)}{(100)(242)}[/tex]
[tex]\dfrac{77682+36200}{24200}[/tex]
[tex]\dfrac{113882}{24200}[/tex]
[tex]4.7[/tex]0
Learn more about Arithmetic operations here:
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the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
Evaluate the expression below when x = 7 and y = 8.
5x2−3y
Answer:
221
Step-by-step explanation:
Substitute x = 7 and y = 8 into the expression
5(7)² - 3(8)
= 5(49) - 24
= 245 - 24
= 221
A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?
Answer:
2015-2010=5
50÷5=10
120-50=70
2017-2015=2
2*10=20
70-20=50mg
2018=50mg
please answer this its due tomrrow
please do what the questions says. DO ALL OF THE QUESTIONS. DONT SAY YOU SHOULD OD ONE BECAUSE I DONT KNOW ANY!!!!!
Answer:
Oki Doki, read below this will be long.
Step-by-step explanation:
So, lets start with mr moy.
First off, we need to figure out the total hours that mr moy worked.
Throuhgout the 7 days of the week, he worked 5 days. These were his hours:
8, 8, 8, 8, 9
Adding these together, you get a total of 41 hours.
Next we have total wage.
To find this, multiply the total hours by the hourly income. We know the hourly income is 12.5, and the total hours is 41:
12.5*41=512.5
So 512.5 is the total wage.
Lets do this for the next four people, I am just going to speed it up a bit:
Ms wong - hours - 8+8+7+9+9 =41. Hourly income - 9.5. Total income: 9.5*41:
389.5 is total income
41 is total hours
Maria - hours - 5+5+6+8+9=33. Hourly income - 7.5. Total income: 7.5*33:
247.5 total income
33 total hours
Tom - 4+4+4+4+4+8+8=36. Hourly income - 7.5. Total income: 7.5*36:
270 total income
36 total hours
Jacob - 5+5+5+7+7 =29. Hourly income - 7.5. Total income: 7.5*29:
217.5 total income
29 total hours
OK, now for the total sums:
Total hourly wages - 7.5+7.5+7.5+12.5+9.5=44.5
Total of the total hours - 41+41+33+36+29=180 hours
Total of total wages - 217.5+512.5+389.5+270+247.5=1637
Ok, thats it for the first page.
On the next pages, I was slightly confused. But Ill try my best.
A - for each employ, calculate total hours and wages. We already did this before.
B - What is the total amount that is paid out in wages in a week. We already did this before(1637)
C - which day is the busiest day of the week - Saturday. The slowest? Monday
So we know the slowest day has to be monday, since the total employment hours is 8+8+4=20. WHich is lower than the rest.
We also know the busiest day has to be saturday, since the total employment hours is 9+9+8+5=31. Which is higher than the rest.
Now to the the third page.
What is the average employe wage?
Lets add up all the wages, and divide by the amount of wages:
7.5+7.5+7.5+9.5+12.5=44.5
44.5/5
=
8.9
This is the average wage.
I dont totally understand part b or c of this answer.
I cannot draw or make a graph and table right now, so I cannot finish your answers.
I hope these help though!
Evaluate.
−8125−−−−√3
−425
−25
425
25
Answer:
-2/5
Step-by-step explanation:
( -8/ 125) ^ 1/3
We know (a/b) ^ 1/3 = a^ 1/3 / b^1/3
( -8) ^ 1/3 / ( 125) ^ 1/3
Rewriting
( -2^3) ^ 1/3 / ( 5^3) ^ 1/3
We know that a^b^c = a^(b*c)
-2^(3* 1/3) / 5^(3 * 1/3)
-2 / 5
Answer:
-2/5
Step-by-step explanation:
y= x+4 what is the answer?
Answer:
x = y − 4
Step-by-step explanation:
y=x+4
Step 1: Flip the equation.
x+4=y
Step 2: Add -4 to both sides.
x+4+−4=y+−4
x=y−4
Answer:
x=y−4
Which of the following are interior angles in the figure below?
Answer:
C
Step-by-step explanation:
The interior angles means the angles inside the triangle
PLSSS HELP ME I DONT HAVE MUCH TIME
Answer:
- 12 and - 187
Step-by-step explanation:
To evaluate f(- 7) substitute x = - 7 into f(x)
f(- 7) = 2(- 7) + 2 = - 14 + 2 = - 12
Similarly for g(- 4)
g(- 4) = 3(- 4)³ + 5 = 3(- 64) + 5 = - 192 + 5 = - 187
A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?
Answer
IS 2/4
Step-by-step explanation:
1/3 = 4/12 1/4 = 3/12 4/12+3/12= 6/12 = 2/4
Evaluate the following expression at x = -4
-5x-1
I am timed. Please answer this.
Answer:
9
Step-by-step explanation:
because volume of a prism is area × length
so area of triangle is 4*4/2=8 so 72÷8=9.
hope this helps:)
Solve {2x — y = 13; 3x + y = 12
Answer:
{x,y}={5,-3}
Step-by-step explanation:
The dolphin is 20 feet below the serface of the ocean.
Answer: we wont be able to answer if there is no fill out box
Step-by-step explanation:
Answer:
Can you complete the sentence?
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
BRAINIEST AND 15 POINTS HELP FAST!!!
In the square below, the two semi-circles are congruent. Find the area of the
shaded region. If necessary, round your answer to two decimal places.
Answer:
3.44.
Step-by-step explanation:
We can see that in this square, the radii of the semicircles are 2. Using that, we can calculate that the area of each one is 6.58. Both combined is 12.56. Now, the original area of the circle was 16. 16 minus 12.56 is equal to 3.44, so the area of the shaded region is 3.44.
Answer:
3.44
Step-by-step explanation:
enter it just like that in ape x
Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions
Step-by-step explanation:
Let the increase in the size of the length and breath be 'x'.
The area of the rectangle = 12in × 8in
=96 in²
From the question,
(12+x)(8+x)=96×2 in²
or, 96+12x+8x+x²= 192
or, x²+20x+96-192=0
or, x²+20x-96=0
or, x²+24x-4x-96=0
or, x(x+24)-4(x+24)=0
or, (x-4)(x+24)=0
Either, Or,
x-4=0 x+24=0
Therefore, or, x= –24 (Which is impossible)
x=4
So the new dimensions are 12+4=16 inch and 8+4=12 inch.
A soccer field is 110 yards long and 80 yards wide. What is the longest pass that one player can make to another player on a soccer field?
Answer and Step-by-step explanation:
To find the answer, we need to first think of what length in the rectangle can make the longest path, then use the Pythagorean Theorem.
The diagonal in a rectangle (going from one corner to another) is the longest distance.
If we were to split that rectangle by its diagonal, we would get a triangle. By the Pythagorean Theorem, we can find the length of that diagonal (the hypotenuse of the triangle).
[tex]A^2 + B^2 = C^2\\\\110^2+80^2 = C^2\\\\12100 + 6400 = C^2\\\\18500 = C^2\\\\10\sqrt{185} = C = 136.0147 yards[/tex] <- This is the answer (the decimal version or this ^ version).
#teamtrees #PAW (Plant And Water)
Malcolm planted two trees in his yard. One tree is 50 inches tall and grows
at a rate of 2 inches per month. The other tree is 59 inches tall and grows
at a rate of 1 inch per month. How many months will it take until both
trees are the same height?
6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?
Answer:
$1.50
Step-by-step explanation:
25% of 6 is basically just 6/4, which is 1.5.
This is money we're talking about, so the answer is $1.50
Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.
In parallelogram WXYZ, what is CY?
11 ft
15 ft
21 ft
23 ft
Answer:
b on edge 2021
Step-by-step explanation:
From the calculations, the length of CY in the parallelogram is 15 feet.
What is a diagonal?A diagonal is a line that runs from one end to another in a quadrilateral. We know that in such quadrilaterals as the parallelogram, the diagonals bisect each other.
Hence;
CY =WC
And
2x - 7 = x + 4
collecting like terms;
2x - x = 4 + 7
x = 11
Thus
CY = 2x - 7
= 2*11 - 7
= 22- 7
= 15
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