Answer:
49
Step-by-step explanation:
2+1.5=3.5
49/3.5=14
Answer:
a = 44.1
Step-by-step explanation:
Do the addition in the parentheses first.
a / (3.15) = 14
Multiply both sides by (3.15) to isolate a.
3.15(a/3.15)=14(3.15)
a = 44.1
(PLEASE HELPP) The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11, while the number of 5th graders to that of the 6th graders was 13 to 9. By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?
Answer:
The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.
Step-by-step explanation:
I am going to say that:
x is the proportion of 5th graders.
y is the proportion of 6th graders.
z is the proportion of 7th graders.
The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11
This means that:
\frac{y}{z} = \frac{4}{11}
z
y
=
11
4
So
11y = 4z11y=4z
y = \frac{4z}{11}y=
11
4z
The number of 5th graders to that of the 6th graders was 13 to 9.
This means that:
\frac{x}{y} = \frac{13}{9}
y
x
=
9
13
9x = 13y9x=13y
x = \frac{13y}{9}x=
9
13y
All of them is 100%
This means that:
x + y + z = 1x+y+z=1
We need to find z.
y = \frac{4z}{11}y=
11
4z
x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=
9
13y
=
9∗11
13∗4z
=
99
52z
Then
x + y + z = 1x+y+z=1
\frac{52z}{99} + \frac{4z}{11} + z = 1
99
52z
+
11
4z
+z=1
The lcm(least common multiple) between 11 and 99 is 99. Then
\frac{52z + 9*4z + 99z}{99} = 1
99
52z+9∗4z+99z
=1
187z = 99187z=99
z = \frac{99}{187}z=
187
99
z = 0.5294z=0.5294
By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?
z(7th graders) is 52.94%.
x + y(5th and 6th graders) is 100 - 52.94 = 47.06%
52.94 - 47.06 = 5.88
The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.
The total length of fabric needed is 375 m.
65% of 375 meters can be written as 0.65× 375 m = 243.75 m
The length of fabric still needed is 375 m − 243.75 m =
___m
Answer:
375 - 243.75 = 131.25
Step-by-step explanation:
The length of fabric still needed is 131.25 m.
Hope this helped!
Mrs. Parker has a small garden in her backyard. The total area of her garden is 3.5 square meters. The length is 5 meters.
What is the width of Mrs. Parker’s garden?
A.
0.7 meters
B.
70 meters
C.
0.07 meters
D.
7 meters
Answer:
B. 0.7
Step-by-step explanation:
3.5/5=0.7
HELP PLEASE QUICKLY!!!!!
Answer:
24 liters
Step-by-step explanation:
We know that j = 4d+4, d represents the number of days Wanda spent making jam, and j represents the amount of jam jarred.
Plug in d
j = 4(5)+4
j = 20+4
j = 24
Easy work for extra points
Answer:
i dont know
Step-by-step explanation:
Simplify 4(3x^2y^4)^3 / (2x^3y^5)^4
show your work
Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8
The simplified expression is [tex]27/(16x^6y^8).[/tex]
We have,
To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.
Let's simplify the numerator first:
[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]
Now, let's simplify the denominator:
[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]
Now we can divide the numerator by the denominator:
[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]
To divide the variables with the same base, we subtract their exponents:
[tex]27/16 * x^{6-12} * y^{12-20}[/tex]
Simplifying further:
[tex]27/16 * x^{-6} * y^{-8}[/tex]
To make the exponents positive, we can move the variables with negative exponents to the denominator:
[tex]27/(16x^6y^8)[/tex]
Therefore,
The simplified expression is [tex]27/(16x^6y^8).[/tex]
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Pls help me with this math.
Car A is traveling east at a steady speed of 45 miles per hour. After 2 hours, it is 130 miles east of Johnstown
Car B is traveling east on the same road. it’s distance east of Johnstown is represented by the graph.
Where were the two cars in relation to each other when they began traveling?
A. Car A was 20 miles east of Car B
B.Car B was 20 miles east of Car A
C.Car A was 10 miles east of Car B
D.Car B was 10 miles east of Car A
Answer:
B
Step-by-step explanation:
The distance if you look at the graph has started on 20 so that will be it when they drive
Match the phase on the left with the right algebraic expression on the right .
Answer:
7 ÷ 1/4 = 7 × 4
2/3 ÷ 4/5 = 2/3 × 5/4
4/5 ÷ 3/2 = 4/5 × 2/3
1/4 ÷ 1/7 = 1/4 × 7
Answer:
Green is with C, Blue is with A, Orange is with D, Purple is with B
Step-by-step explanation:
Hi!
So, it's been a while since I've done math like this, so the way I solved this was simply by doing the equations themselves and seeing which one matches. I'm sure there is an algebraic way to find which ones match, but this is all I know how to do :)
(By the way...I got the decimals by doing the fraction itself. 1 divided by 4(1/4th)=.25, as an example)
1(left)-7/1/4 is the same as 7/ .25. This is 28.
2(left) 2/3/ 4/5 is the same as .6666666/ .8. This is .83333repeating
3(left) 4/5 / 3/2 is the same as .8/1.5. This is .53333repeating
4(left) 1/4 / 1/7 is the same as .25/.143. This is 1.74(approx.)
1(right) 2/3 x 5/4 is the same as .66666 x 1.25 This is .8333 approx.
2(right) 1/4 x 7 is the same as .25*7. This is 1.75
3(right) 7*4 is 28.
4(right) 4/5 x 2/3 is the same as .8x.66666. This is .533
Now, we can match.
Green is with C.
Blue is with A
Orange is with D
Purple is with B
Hope I could help!
Help pls ASAP! i really need help!
Answer:
76-24= 52
Explanation:
Use a model to solve 13 x 4/9 . Leave your answer as an improper fraction.
A. 6 m
B. 9 m
C. 12 m
D. 15 m
Bob's pluming charges $25 per hour plus a service fee of 40$ for coming out to your house. Which equation is right?
1. y=25x
2. y=25x+40
3. y= 40x+25
4. y=25x-40
What is the greatest common factor of 70 and 33?
Answer: 1
Step-by-step explanation: 1 is the greatest common factor of 70 and 33.
Steve made $50 taking leafs and $75 mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
Ps: pls show how you set up the problem!
Answer:
Step-by-step explanation:
He gave $75 dollars to his mother
50+75=$125
$125 x 60% = 75
Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
Consider ground level to be 0 .
What value represents the elevation of the hole relative to ground level after digging for 2(1)/(2) hours?
Enter your answer as a simplified mixed number in the box.
Answer:
3 1/3 feet
Step-by-step explanation:
Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.
Hope this helps :)
Dylan started to write the expanded form of 3,687.89 as shown below.
3×1,000+6×100+7×1+9×(1100)
Which of the following does Dylan need to include to correctly complete the expanded form above?
A.
8×100+8×(1100)
B.
8×100+8×(110)
C.
8×10+8×(110)
D.
8×10+8×(1100)
Answer:
Answer: A. 8×100+8×(1100)
Step-by-step explanation:
before removing the 0 from 1000, we got to add 100 and 1,000. then we remove the 0.
hope this helped.
Label the equations in number 5-7 as True or False:
(7^1)^9= 7^5 x 7^5
y^13/(y^2)^6=y^-10x y^9
b^4xb^-6=b^1xb^3/b^6
Answer:
[tex]{ \rm{ {(7}^{1}) ^{9 } = 7 {}^{5} \times {7}^{5} : \: { \tt{ \red{false}}} }} \\{ \boxed{ \mathfrak{correction \dashrightarrow \: ( {7}^{1}) {}^{9} = {7}^{9} }}} \\ \\ { \rm{ \frac{ {y}^{13} }{ {( {y}^{2}) }^{6} } = {y}^{ - 10} \times {y}^{9} : \:{ \tt { \red{false}}}}} \\ { \boxed{ \mathfrak{correction \: \dashrightarrow \: { \rm{{y}^{1} }}}}} \\ \\ { \rm{ {b}^{4} \times {b}^{ - 6} = \frac{ {b}^{1} \times {b}^{3} }{ {b}^{6} } }} \: : \: { \tt{ \green{true}}}[/tex]
Please Answer this question
Uh yeah the answer is 20 1/12 but could you tell me the step by step process for this
ty!
WORTH 15 POINTS!!!
First, let's do the numerator! 4.8 - 0.24 = 4.56. Now, let's simplify the denominator. 0.2 * 0.6 = 0.12
4.56 / 0.12 = 38
Hope this helps :)
Answer: 38 is the correct answer
Step-by-step explanation:
What is the approximate area of the circle, in square centimeters? Use 3.14 for π (pi). Record your answer on the grid. then fill in the bubbles.
Answer The Volume Of The Rectangular Prism Please...
:) Thank You
Answer:
105 in^3
Step-by-step explanation:
V=whl
Volume = width x height x length
Volume = 3 x 5 x 7
Volume = 15 x 7
Volume = 105
Please help :) Thanks!
Answer:
Hi there!!
Since this is a positive slope, so we can use 3/1=3
The slope is 3
pls help will mark brainliest
Answer:
Answer and
Step-by-step explanation:
equation are attached
What is the value of m?
13.78 – m = 9.13
Answer:
4.65
Step-by-step explanation:
13.78 - m = 9.13
13.78 - 9.13 - m = 0 (subtracting 9.13 from both sides)
m = 13.78 - 9.13 (adding m to both sides)
m = 4.65
Answer:
m=22.91
Step-by-step explanation:
13.78+9.13=22.91
A diving board is 12 feet above the ground. The bottom of the pool is 16 feet below the ground. Write and solve an equation that gives the distance from the diving board to the bottom of the pool.
Answer:
28 ft
Step-by-step explanation:
since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board
Answer:
28 feet
Step-by-step explanation:
To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.
helppppp !!!!!!!!!! FAST !!!!!!!!!!!!!!
Answer:
The scale of the map is 20cmx30cm
The dimensions of the garden is 6cm for width and 20 cm for the length
Step-by-step explanation:
Answer: the scale of the thing is 20cm x30cm
Evaluate the equation.
-8x = -90
A. x = 82
B. x= 45/4
C. x= - 45/4
D. x= -82
Answer:
B. x=45/4
Step-by-step explanation:
A recipe for 1 batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla.
Complete the double number line diagram below to show the amount of flour and vanilla needed for 1,2,3,4, and 5 batches of cookies. MAKE SURE YOU FILL OUT THE DOUBLE NUMBER LINE COMPLETELY! Then use the double number line to answer these questions:
a) If you use 20 cups of flour, how many teaspoons of vanilla should you use?
b) If you use 6 teaspoons of vanilla, how many cups of flour should you use?
Dr. McGee saw 1,007 patients this year, which is 90% higher than the number he saw
last year. How many patients did Dr. McGee see last year?
Please help! Will put Brainiest!
Answer:
107 patients
Step-by-step explanation:
This year Dr. McGee had 1007 patients act like this is 100%. 10% of 1007 is 107 and since there was a 90% increase 107 is the answer