Answer:
the number is -2/7
Step-by-step explanation:
let the number be x
2x ×4= 7x-2/7
8x = 7x-2/7
collect like terms
8x-7x = -2/7
X= -2/7
Eloise practiced piano for 2/5 of an hour. Sarah practiced piano for 3/4 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
21 min longer
Step-by-step explanation:
For Eloise, we need to know how much 1/5 of an hour is in min. So divide 60 by 5 and we get 12min. So 2/5 of an hour is 2x12, giving us 24 min.
For Sahrah, we need to know how much 1/4 of an hour is in min. So divide 60 by 4 and we get 15min. So 3/4 of an hour is 3x15, giving is 45 min.
now that we know how long they practiced, we find the difference by subtracting. 45-24 = 21
Write a compound inequality for each problem. Graph the solutions
An advertisement for a part-time job says that the hourly rate is between $6.40 and $9.80 inclusive, depending on the experience
answer:
16.20
step by step
Can someone help please
In the algebraic expression 5x + 8y – 12z, the values 5, 8, and –12 are _____
Answer:
Coefficients!!!
Step-by-step explanation:
They're numbers that are multiplied by a variable.
Answer:
Step-by-step explanation:
I believe the answer would be coefficients. Coefficients are the number that is being multiplied by the variable.
lowest common factor between 7 and 11
ITS ABOUT DRIVE ITS ABOUT POWER WE STAY HUNGRY WE DEVOUR PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?
Answer:
$ 24.75
Step-by-step explanation:
10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)
(27.50)(10)/100 (cross multiply)
= $2.75 (tax)
27.50 - 2.75 = $ 24.75
The coefficient of x in the expansion of (x+3)(x - 1) is
Answer:
^2+2−3
Step-by-step explanation:
Answer: the coefficient of x in the expansion is 2
Step-by-step explanation:
(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)
which equals x^2 -x +3x -3 which is x^2 +2x -3
the leading coefficient of x^2 1. and the coefficient of x is 2.
to the nearest tenth, the P(z<-1.4) is:
A) 6.7%
B) 8.1%
C) 80.8%
D) 91.9%
Answer: everyone to the nearst tenth is 7% 8% 81% 92%
Step-by-step explanation: if this is what it is i did this in the 4th
lim x tends to a {x^7-a^7/x^3-a^3]
Answer:
thank you very much
1235÷722
Pls help me with this question!!!
Answer: $2/child and $4/adult
Step-by-step explanation:
The total fare is $14 for 2 adults and 3 children
x is the child's fare
y is the adults fare
We can say:
1) 3x + 2y = $14
2) We are told that x = (1/2)y [each child's fare is 1/2 each adult's fare]
3) use (2) in (1)
3x + 2y = $14
3(1/2)y + 2y = $14
(3/2)y + 2y = $14
(7/2)y = $14
y = ($14)*(2/7)
y = $4/adult
x = (1/2)y; x = (1/2)(4)
x = $2/child
Check: Does 3x + 2y = $14 when x = $2/child and y = $4/adult?
3x + 2y = $14
3($2/child) + 2($4/adult) = $14
$6 + $8 = $14 YES
I Need Help Please
Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale on the map. (There are 2.54 centimeters in an inch.) A. 1 in to 1 my B. 1 cm to 1 km C. 1 in to 10 mi D. 1 ft to 100 mi E. 1 cm to 200 km F. 1 in to 100 mi G. 1 cm to 1000 km
Step-by-step explanation:
5 inches on the map correspond to 210 miles (or even a bit more) in reality.
we do know, the real length of the state is 213 miles.
and 8 inches to 410 (or a bit more) miles.
but, in fact, in reality, Kansas is indeed 410 miles long.
so, let's see first about the consistency of the scale factors (our ratios) in every direction.
5 inches / 210 miles = 1/42
8 inches / 410 miles = 4/205 = 1/51.25
so, in order to be a true map, both directions must have the same scale factor.
to fit the whole map on one page we must go with the smaller scale ratio : 1/51.25
so,
A with the ratio 1/1 is wrong.
B wrong.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
so, the scale ratio here is
1 cm / 1km = 1/2.54 / 1/1.6 = 1.6 / 2.54
still far off of the 1/51.25 ratio.
C with the ratio 1/10 is wrong.
D wrong
1 ft = 12 inches
the ratio is therefore
12/100 = 3/25 = 1/8.3333
still far off of the 1/51.25 ratio.
E would fit
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
200 km = 200/1.6
so, the scale ratio here is
1 cm / 200km = 1/2.54 / 200/1.6 = 1.6 / (2.54×200) =
= 1.6 / 508
still far off of the 1/51.25 ratio, but in the form of being much smaller. so it fits on the page.
F would fit.
the ratio is 1/100.
this is again far off of the 1/51.25 ratio, but also in the form of being much smaller, so it fits on the page.
G would fit.
1 cm = 1/2.54 inches
1 km = 1/1.6 miles
1000 km = 1000/1.6
so, the scale ratio here is
1 cm / 1000km = 1/2.54 / 1000/1.6 = 1.6 / (2.54×1000) =
= 1.6 / 2540
again far off of the 1/51.25 ratio, but also in the form of being much smaller. so it fits on the page.
55000/500 in standard form
Answer:
i think it is 110
Step-by-step explanation:
sorrt if i am wrong
Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²
Answer:
1. a^4.
2. 9c³.
3. 8z^6.
4. 4b²a.
5. 20q(if the 2 isn't an exponent)
if it is,
20q².
6.x²y².
7. j²k²i.
All the best.
Answer:
Step-by-step explanation:
[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]
Solve the equation. ( − 6 ) ( − 2 ) ( − 1 ) =
Answer:
-12
Step-by-step explanation:
Is the statement “The absolute value of a number is always greater than its opposite” true?
Answer:
No; the absolute value of a negative number is equal to its opposite
Step-by-step explanation:
The ratio of men to women working for a company is 2/3. If ther are 105 employees total, how many women workfor the company
Answer: There are 70 women and 35 men.
Step-by-step explanation:
105 divided by 3 is 35 and 105 - 35 is 80.
a square's area is 3 times its perimeter. Find the dimensions of the square.
PLEASE HELP!!
4) (2.03)
What is the equation of the line in
slope-intercept form?
What is the equation of the line in
function notation?
Answer:
y = (1/2)x - 2
Step-by-step explanation:
(0,-2)
(4,0)
2/4 x - 2
What is the value of x?
x= 12
x = 14
x = 22
x = 24
The answer is x = 12
Enter the value of x. The diagram is not to scale.
680
119°
.70
Answer:
51°
Step-by-step explanation:
We know that all angles in a triangle add up to 180°
We have one of them, 68° for now.
We also know the angle on the outside of the triangle that forms with one side being extended. That side is a straight line (180°)
Which means the interior angle there would be 180-119 = 61°
This means that we have 2 out of 3 angles now. Now we just add them up and subtract them from 180°.
180° - (68+61) = 51° is our final answer.
Let me know if that makes sense, or if you have any other questions.
Hope I helped! :)
Juan is paid a salary of $302 biweekly find Juan’s earnings per year
Answer:
7852
Step-by-step explanation:
There are 52 weeks in a year
Divide by 2 to determine bi-weekly
52/2 = 26
You will be paid 26 times in a year if you are paid bi-weekly
302 * 26
7852
PLSSS HLEPP ME OUTT ITS URGENTTTT
Realiza los siguientes problemas de Tanto Por Ciento.
1. Se desplaza un camión consumiendo el 60% de su combustible, si el tanque
lleno tiene 45 litros de gasolina ¿Cuántos litros ha consumido?
2. En un gimnasio una persona se pesa y tiene 78 kilogramos de peso, si el peso ideal (100%) para una persona de su edad es de 62 kilogramos ¿Cuales el porcentaje de peso que tiene la persona?
3. Un cohete lunar ha consumido el 20% de su tiempo de vida útil, el cual es de 15 años (100%) ¿Cuânto tiempo de vida útil ha consumido el cohete lunar?
4. El volcán de Pacaya incremento su altitud en 25 metros en su ultima erupción de ceniza, si el volcán mide 2,552 metro ¿Qué porcentaje de altura incremento?
5. Beni tiene el 40% de la edad de su hermano Aarón que tiene 24 años ¿Que edad tiene Beni?
Answer:
1. 27 liters
2. 125.8%
3. 3 years
4. 0.98%
5. 9.6 years
Step-by-step explanation:
1. (60%)(45) = 27 liters
2. Percentage of weight relative to ideal weight = (100%)(78/62) = 125.8%, rounded to nearest 10th of a percent.
3. (20%)(15) = 3 years
4. Assume that the beginning height is 2552 meters and the height increases 25 meters. Then, the percentage increase = (100%)(25/2552) = 0.98%, rounded to the nearest 100th of a percent.
5. Beni's age = (40%)(24) = 9.6 years
Solve the given equation.
- 29 = - 13 - n
Write step by step how you solved it.
Answer:
The answer is n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
−29=−13−n
Step 1: Simplify both sides of the equation.
−29=−13−n
−29=−13+−n
−29=−n−13
Step 2: Flip the equation.
−n−13=−29
Step 3: Add 13 to both sides.
−n−13+13=−29+13
−n=−16
Step 4: Divide both sides by -1.
−n/−1 =−16/−1
n=16
Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, she expects the tomato plants to produce an additional 14 tomatoes each week for the rest of the summer. Which of the following recursive formulas can be used to determine the total number of tomatoes produced by her plants after any given number of weeks in the summer, assuming that her expectations are correct?
Answer:
Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.
Step-by-step explanation:
Dividing Decimals by Decimals Word Problems
The Sanchez family drove 48.9 miles to the river. It took them 1.2 hours to get there. How fast did they drive in miles per hour?
Please answer quickly because this is due tomorrow
Answer:
speed = distance÷time 48.7÷1.2 = 40.58
At 9 AM,one share of Starbucks stock was $26. By 2 PM the price was $29. The rate the Starbucks stock value was changing is ___ per hour.
Answer:
60 cents per hour
Step-by-step explanation:
final price minus starting price is 3 divide by 5 hours to get .60
10, 8) and (-5, 8) What is the formula and slope for the points above?
Answer:
formula: (y_2-y_1)/(x_2-x_1)
slope: 0
Step-by-step explanation:
1. The formula to find the slope given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
2. (Solving)
[tex]\frac{8-8}{-5-10}[/tex] [tex]\frac{0}{-15}[/tex] [tex]0[/tex]Therefore, the slope is 0.
Complete the following statement.
The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are
adults and
children.
Answer:
56 adults and 35 children
Step-by-step explanation:
sum the parts of the ratio 16 + 10 = 26
Divide 91 by 26 to find one part of the ratio
91/26 = 3.5 ← 1 part of the ratio
16 parts = 16 × 3.5 = 56 ← number of adults
10 parts = 10 × 3.5 = 35 ← number of children
Therefore it 56 adults and 35 children.
To Check the Answer: 56 + 35 = 91
Estimate the sum using front end estimation.
546+ 412
A) 900
OB) 950
OC) 960
OD) 1000
Answer:546 +412 Is 958
Step-by-step explanation: