Answer:
y=1
x=2/5
Step-by-step explanation:
1=-5x+3
-2=-5x
x=2/5
Answer:
x = 2/5
Step-by-step explanation:
-5*2/5+3=1
x is 2/5
Kim ate 10 apples and had 30 apples in the began
Answer:20 apples
Step-by-step explanation:
30-10=20
An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?
Answer:
Around 11:15 am
Step-by-step explanation:
Let h represents the number of hours the plumber works
Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:
→ bill = 65 + 75h
Since the bill is $195.25
→ 195.25 = 65 + 75h
→ 75h = 130.25
→ h = 1.74
1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.
Find the circumference of a circle whose area is 24 ft2
Answer: [tex]17.33ft[/tex]
Step-by-step explanation:
We need to go from area to radius to circumference.
Formula for the area:
[tex]A=\pi r^2[/tex]
Solve for r;
Divide by pi
[tex]r^2=\frac{A}{\pi}[/tex]
Extract the square root.
[tex]r=\sqrt{\frac{A}{\pi} }[/tex]
Plug in the value of the area.
[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]
Now that you've found the radius, use the circumference formula to calculate it.
[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]
A cylindrical swimming pool has a height of 4 feet and a circumference of about 75.36 feet. What is the area of a vertical cross section through the center of the pool? Use 3.14 for π.
The area of a vertical cross-section through the center of the pool is 24 square feet for a cylindrical swimming pool having height of 4 feet and a circumference of 75.36 feet.
Area is the total space occupied by a 2D figure.
Given the following,
Height of the pool, h= 4 feet
Circumference of pool, C= 75.36 feet
C=2πrh
On substituting the values of h=4 and π=3.14
[tex]75.36=2\times 3.14\times r\times 4\\\\[/tex]
[tex]r=\dfrac{75.36}{2\times 3.14\times 4}\\r=3[/tex]
Thus the given pool is of radius 3 feet.
Vertical cross-sectional area of a cylinder= Area of rectangle
Area of cross-section = Width*Height
Here for a cylindrical pool,
Width of cylindrical pool=2r=2*3
Width of cylindrical pool=6 feet
Height of cylindrical pool= 4 feet
Area of cross section =6*4
Area of cross section= 24 square feet
Thus, the cross-sectional area of a pool is 24 square feet.
Learn more about area, here:
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Los alumnos de una clase han formado 4 equipos para hacer un mural en una pared del patio. Los equipos tienen 8,7, 10 y 5 componentes. Si la pared mide 12 m de largo, ¿cuántos metros de pared le corresponde a cada equipo para que sea proporcional al número de componentes?
Answer:
8 - 3.2m
10- 4m
7- 2.8m
5- 2m
Step-by-step explanation:
Aquí, podemos hacer los componentes en forma de relaciones para conocer la longitud equivalente de cada uno de los componentes a la longitud total de la pared.
Ahora usando los componentes en forma de proporciones, tenemos 8: 7: 10: 5. sumando todos los componentes juntos, tenemos; 8 + 7 + 10 + 5 = 30.
Para 8, tenemos 8/30 * 12 = 3.2 metros
para 7, tenemos 7/30 * 12 = 2.8 metros
Para 10, tenemos 10/30 * 12 = 4 metros
para 5, tenemos 5/30 * 12 = 2 metros
if the population is growing by 17% you will use 1.17 as your rate in the equation true or false
Answer:
False. 0.17
Step-by-step explanation:
A daycare center charges $300 per month for preschool and $3.50 per hour every hour after preschool. The function c = 300 + 3.50h can be used to represent the total cost c of monthly preschool and childcare, where h is the number of hours spent in childcare after preschool. If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool? *
Answer:
The total number of hours the child spent in childcare after preschool was 96.5.
Step-by-step explanation:
The cost of the preschool, in function of the number of hours that the child spent there, is given by the following equation:
[tex]c(h) = 300 + 3.5h[/tex]
If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool?
This is h when c(h) = 637.75. So
[tex]c(h) = 300 + 3.5h[/tex]
[tex]637.75 = 300 + 3.5h[/tex]
[tex]3.5h = 337.75[/tex]
[tex]h = \frac{337.75}{3.5}[/tex]
[tex]h = 96.5[/tex]
The total number of hours the child spent in childcare after preschool was 96.5.
The list below show test scores for 1st period on a recent test. Finding the mean deviation. 62 63 64 71 96 97 98 99 100 100
Answer:
16
Step-by-step explanation:
just use a mean absolute deviation calculator next time
Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?
Answer: 40 feet
Step-by-step explanation: Volume = length * width * height
then substitute Volume = 2 * 4 * 5
multiply Volume = 8 * 5
multiply again Volume = 40
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QUESTION 1 What is the median of the data set? 23 19 13 11 17 19 18 12 17 19
Answer:
17.5
Step-by-step explanation:
First you need to put those numbers in order from least to greatest
second go from each side and count till you get to the middle 17 and 18
third add 17 + 18 = 35
fourth divid by 2 35/2 = 17.5
Hope this helps
Which equation can be used to find the unknown length, a, in this triangle?
You need more information. Maybe a picture?
Answer:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Step-by-step explanation:
Consider rectangle ABCD with diagonals BD and AC
intersecting at
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and 2 CED are vertical angles and equal
76
ZABE and 2 CBE are complementary angles,
BEC and CED are vertical angles,
-------
BEA and AED are supplementary angles
whose sum is 180°
O
BEC and
AED are adjacent angles,
Answer:
BEA and AED are supplementary angles whose sum is 180°
Step-by-step explanation:
complete question is:
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Which is true about the angle relationships in the rectangle? Check all that apply.
BEA and 2×CED are vertical angles and equal 76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles whose sum is 180° BEC and AED are adjacent angles,Answer:
it is abd
Step-by-step explanation:
What is the area of triangle MOL? 200 square units 250 square units 300 square units 500 square units
Answer:
300 square units
Step-by-step explanation:
explanation-because i just know
Answer:
300
Step-by-step explanation:
300 is correct
Just got it correct on Edge IYI
The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?
Answer:
9:2
Step-by-step explanation:
Put in what we know
cars: motorcycles
9 2
Solve. - 5 3/4 - 3 1/2
Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form: −37/4
Step-by-step explanation:
The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
Area of a sectorFrom the question, we are to determine the area of the shaded portion.
The shaded portion in the circle is the major sector.
The area of a sector is given by the formula,
[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]
Where [tex]\theta[/tex] is the angle subtended by the sector
and r is the radius of the circle.
From the given information,
r = 6 mm
and [tex]\theta[/tex] is the angle subtended by the major sector
Therefore
[tex]\theta = 360^\circ - 70^\circ[/tex]
[tex]\theta = 290^\circ[/tex]
Putting the parameters into the formula, we get
[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]
Simplifying
[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]
Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3
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What is the solution to the system of equations?
y = *x+3
X = -2
• (-2. -
15
• (-2, 4)
• 6-2.1
Answer:
(-2,1)
Step-by-step explanation:
The two equations cross at (-2,1). Hope this helps.
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years
Answer:
He will earn an interest of $448 in 4 years
Step-by-step explanation:
In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.
To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition
Mathematically;
I = PRT/100
Where ;
P is the amount invested which is $1,750 according to the question
R is the interest rate which is 6.4%
T is the time which is equal to 4 years
Plugging these figures, we have
I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448
what is the answer to y+5=2(x+1)
Answer: y + 5 = 2 ( x + 1 ) = 2 x − y + 2 = 5
Answer:
Slope = 4.000/2.000 = 2.000
x-intercept = 3/2 = 1.50000
y-intercept = -3/1 = -3.00000
Step-by-step explanation:
I hope this helped!
Help me it’s urgent
Answer:
∠GHJ and ∠IHJ
Answer:
[-10, 10]
This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10 and [10] = 10
Step-by-step explanation:
Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.
Answer:
g = j - 12
Step-by-step explanation:
We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:
j = g + 12
if we solve for g:
g = j - 12
which is the same as saying that Gus made 12 number of engine less than Jessie
Answer:
g = x - 12
where x is the number of axles installed by Jessie
Step-by-step explanation:
Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.
As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,
x = g + 12
Such that
g = x - 12
A school team won 15 out of 20 games. Express this as a ratio in lowest terms.
Answer:
3/4 or 3:4
Step-by-step explanation:
To express this as a ratio, we simply place 15 over 20
mathematically that would be;
15/20
divide numerator and denominator by 5
= 3/4
Find the length of the third side to the nearest tenth.
Answer:
What’s the third length?..
Step-by-step explanation:
Correct Answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$12000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 40000 × 15/100 × 2
I = $12000
Sybil's desk is 65 centimeters long. She says her desk is 6.5 meters long. Complete the explanation of her error. Sybil may have confused the units, since 65 centimeters is 6.5 --------------------- The correct length of the desk in meters is ----------------------- because a centimeter is--------------- of a meter.
Answer:
Sybil may have confused the units, since 65 centimetres is 6.5 meters The correct length of the desk in meters is 0.65 because a centimetre is 0.01 of a meter.
Step-by-step explanation:
Her desk is actually 65 centimetre long . She made an error and conclude the length of her desk is 6.5 meter long. She made a mistake in her conversion .
1 centimetre = 0.01 meters
65 centimetres = ? meters
cross multiply
65 × 0.01 = 0.65 meters
A centimetre is equal to 0.01 meters. Therefore, using that conversion rate 65 centimetres will evaluate to 0.65 meters.
The actual length of her desk in meters is 0.65. She made an error when converting her desk length from centimetres to meters.
Solve y = x + 6 for x.
A. x = y + 6
B. x = -y + 6
C. x = y - 6
D. x = -y - 6
Answer:
B: x = -y+6
Step-by-step explanation:
Since y = x+6:
Bring x and y to their opposite sides:
x = -y+6
I hope this helps and plz mark me brainliest!!
Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
The simplified form of 3root45 - root 125 + root 500
Answer:
the answer and explanation is in the picture
please like and Mark as brainliest
hope this helps
out of 17,21,14,17,12,15,16 what is the mean?
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
