Answer:
a)300 quarts per hour
b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters
Step-by-step explanation:
a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour
b)1 quart is .946liters
using that conversion we get that 5 quarts is ≈4.73 litera
The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.
Answer:
The shorter side is 6.
The perimeter is 26.4 inches.
The area is 43.2 inches[tex]^{2}[/tex]
Step-by-step explanation:
The ratio 5;6 and the given longer side is 7.2 in.
Since it is the longer side, the '6' in the ratio is 7.2 in.
Let x be the shorter side
5:6 = x : 7,2
Divide 7.2 to 6.
7.2 ÷ 6 = 1.2
Then multiply 1.2 to 5.
1.2 * 5 = 6
So the shorter side is 6.
L = 7.2
W = 6
Now to find the perimeter, let's use the formula
P = 2L + 2W
Let's put the values in the formula
P = 2(7.2) + 2(6)
P = 14. 4 + 12
P = 26.4
The perimeter is 26.4 inches
To find the area, let's use the formula
A = LW
A = (7.2)(6)
A = 43. 2 inches[tex]^{2}[/tex]
Answer:
shorter side= 6
p= 26.4
a= 43.2
Step-by-step explanation:
Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of this time practicing his multiplication facts.
How many hours did Carlos spend practicing his multiplication facts?
____ of an hour
A: 1/4 of an hour
B: 3/8 of an hour
C: 1/16 of an hour
D: 5/16 of an hour
Does anybody have the answer to this???? Thank You
Answer:
Step-by-step explanation:
h(4)=2w+3
4=2w+3
Collect like terms (c. I. T)
4-3=2w
1=2w
Divide both sides by 2(d.b.s)
1/2=2w/2
0.5=w
h=0.5w
can anyone help me with math
Answer:
d = 6
Step-by-step explanation:
diameter is the whole thing while the radius is always half of the diameter.
12 / 2
= 6
Answer:
6
the diameter is always the half of a radius
Given: SR is the perpendicular bisector of QT; QR is the perpendicular bisector of SP
Prove: PQ=TS
Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:
SR ⊥ QT (given)
QR ⊥ PS (given)
Comparing Δ PQS and ΔQST, we have:
Points Q and T are equidistant to bisector SR (bisection property of a line)
Points P and S are equidistant from QR (bisection property of a line)
QS is a common side to the triangles
Then,
PS ≅ QT (similar property of triangles)
Thus,
PQ ≅ ST (Side-Side-Side (SSS) property of triangles)
Therefore by Side-Side-Side (SSS) theorem, PQ = ST.
Visit: https://brainly.com/question/8691470
How do you solve the following equation: n+2*0.5n+1
Answer:
[tex]n=-\frac{1}{2}[/tex]
Step-by-step explanation:
The order of operators is the next:
ParenthesisExponentsMultiplication and divisionAddition SubtractionSo the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).
[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]
A car accelerates
at a rate of 7 m/s2. If its
original speed is 13 m/s, how many seconds will it take the car to reach a
final speed of 62 m/s?
PLEASE SHOW WORK
Answer:
7 Seconds
Step-by-step explanation:
This is kinematics
Vf=Vi+at
t=[tex]\frac{Vf-Vi}{a}[/tex]
t=[tex]\frac{62-13}{7}[/tex]
t=[tex]\frac{49}{7} =7[/tex]
Find the range of the following group of numbers: 1, -8, -10, 11, 19
Please help with this question and if you can explain because I’m confused. - thank you
y = 32, x = 43
To figure this out, you have to use what you know to find all sorts of measures.
Lets start with the 75 degree angle. We know that the opposite side is a vertical angle, so that is also equal to 75 degrees. Since the angle to the big triangle is a supplementary angle, we know that the sum of 75 degrees and that angle is 180 degrees. Do the math and we get 180 - 75, or 105 degrees. The angles of a triangle always add up to 180, so 105 + 43 + y = 180. Solve for y: [tex]148+y=180=148-148+y=180-148=y=32[/tex]. So y is equal to 32 degrees. Now to find x, we know that the bases of the triangles are parallel, and that there is a line that goes straight from angle y to one of our unknown angles. Because the triangle bases are parallel and the y to unknown line does not change, we can tell that those are the same. So y = unknown angle 1, or 32 = 32. So, we know the measure of one angle. The other unknown angle is vertical to the other angle we found earlier, 105. So, we get 105 + 32 + x = 180. Evaluate: [tex]32+105+x=180=137+x=180=137-137+x=180-137=x=43[/tex]. So x is equal to 43.
Evaluate. [2−∣∣−1/4−2(−3/5)∣∣]÷(−6) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answer:
-7/40
Step-by-step explanation:
I hope this helps!
What is the Slope of the equation y = x - 2
Question 4 options:
1
-2
2
0
Answer:
1
Step-by-step explanation:
Answer:
The slope for the equations y = x - 2 is answer A - 1
Step-by-step explanation:
Graph attached Below
Hope I helped,
Brainliest is always appreciated.
blank as 9 hundred is 9 thousand
Answer:
x = 10
Step-by-step explanation:
x × 900 = 9000
=> 900x = 9000
=> x = 10
Solve the following inequality.
-9 < 5 + 2.0 < -5
[?] < x <[
]
Step-by-step explanation:
you work with it like with regular equations :
-9 <= 5 + 2x <= -5
-14 <= 2x <= -10
-7 <= x <= -5
The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.
Answer:
r=5.31
Step-by-step explanation:
A=π r²
88.42cm²=3.14r².................π =3.14
88.42cm²÷3.14=r²
r²=28.16cm²
r=5.31
arsene wenger pushes a box with a force of 60N over a distance 10m calculate the work done
Answer:
600J
Step-by-step explanation:
work done = force x distance
= 60 x 10
= 600J
The workdone by arsene wenger in joules is 600J
What is workdone?Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)
Workdone is expressed as;
Workdone = f × d
where do is the force and d is the distance.
The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.
Therefore, the workdone by arsene wernger is
W = 60 × 10
W = 600J
learn more about workdone from
https://brainly.com/question/25573309
#SPJ3
Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...
Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
What is the measure of x?
Z
Х
ТУ
4
9
x = [?] ✓
=
Give your answer in simplest form.
Enter
Answer:
x = 2√13
Step-by-step explanation:
The geometric mean relationships in this geometry tell you that x is the geometric mean of the short segment of the hypotenuse (4) and the entire hypotenuse (13).
x = √(4·13)
x = 2√13
__
For more information, see https://brainly.com/question/25712788
I need help!!
If any boady could tell me the awnswer that would be great
Answer:
1/4 and 3/8 = 2/8 and 3/8
1/4 and 1/2 = 1/4 and 2/4
2/16 ad 3/8 = 2/16 and 6/16
1/4 and 2/16 = 4/16 and 2/16
1/2 and 3/8 = 4/8 and 3/8
Step-by-step explanation:
Answer:
The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.
Hope this helps
1.8 0.087 − 0.947 + 2.2 0.044
Answer:
2
Step-by-step explanation:
im smart
amara needs $624 for her budget every week. She works 40 hours a week.CLEARCHECKWhat is the minimum amount Tamara needs to earn per hour?$per hour
15.6 or
Step-by-step explanation:
Based on the given conditions, formulate:
624 ÷ 40
Reduce the fraction:
get the result:
15.6 or
Answer:
15.6 or
(Hope this helps can I pls have brainliest
What is the measure of
Answer:
45 degrees
Step-by-step explanation:
90+45+45=180 degrees
:))
Answer:
[tex]m\angle A=45\textdegree[/tex]
Step-by-step explanation:
All triangles have a sum of 180°. The problem shows us that two of the angles are 90° and 45°. Therefore, the last angle is 45°.
[tex]m\angle A+45+90=180\\m\angle A+135=180\\m\angle A=45[/tex]
a) Solve the system by substitution.
y = 5x – 3
-X – 5y = -11
Answer:
Step-by-step explanation:
the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5
Answer:
{y,x} = {2,1}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 5x - 3
// Plug this in for variable y in equation [2]
[2] -5•(5x-3) - x = -11
[2] - 26x = -26
// Solve equation [2] for the variable x
[2] 26x = 26
[2] x = 1
// By now we know this much :
y = 5x-3
x = 1
// Use the x value to solve for y
y = 5(1)-3 = 2
PLS HURRY ONLY CORRECT ANSWERS 50 POINTS NEED THIS IN ONE HOUR
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Part A: 70x+50=$250
Part B: 75x-5x+$35=$250
They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.
not 100% sure on Part B
Question
Solve the equation.
q+5/9=1/6
q=
Answer:
q = - [tex]\frac{7}{18}[/tex]
Step-by-step explanation:
q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]
Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions
18q + 10 = 3 ( subtract 10 from both sides )
18q = - 7 ( divide both sides by 18 )
q = - [tex]\frac{7}{18}[/tex]
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?
I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!
Answer: $48
Step-by-step explanation:
132 - 84 = 48
Determine the zeros for x2 + 7x − 20 = 6x.
Answer:
= 4
or
= −5
Step-by-step explanation:
Answer:
[tex]x=-5[/tex] and [tex]x=4[/tex]
Step-by-step explanation:
[tex]x^2+7x-20=6x[/tex]
[tex]x^2+7x-20-6x=6x-6x[/tex]
[tex]x^2+x-20=0[/tex]
[tex](x+5)(x-4)=0[/tex]
[tex]x=-5[/tex] and [tex]x=4[/tex]
What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.
Answer:
z = 3√13
Step-by-step explanation:
The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...
z = √(9(13))
z = 3√13
__
Additional comment
In like fashion, ...
x = √(4(13)) = 2√13y = √(4·9) = 6.__
These relations come about because all of these right triangles are similar. That means their side lengths are proportional.
long side/hypotenuse = z/13 = 9/z ⇒ z = √(9·13)
short side/hypotenuse = x/13 = 4/x ⇒ x = √(4·13)
short side/long side = 4/y = y/9 ⇒ y = √(4·9)
Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?
Answer: x = 13 hours
Step-by-step explanation:
335 miles/5 hours = 67 mi/hr
(67 mi/hr)x = 871 miles
x = 13 hours
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.
A.y = - 2x - 3
B. y= - 2x + 3
C. y = 2x - 3
D. y = 2x +3
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept= 5 - (-2)(-4) = 5 - 8 = -3
I need help on number three pls help
Answer:
(1/2)n
Step-by-step explanation:
I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather