Answer: t= Distance/Speed = 4/28= 1/7
Step-by-step explanation:
Speed is 28miles /hr
Distance = 4miles
Distance = Speed × time
Time(t) = Distance /Speed
PAOLA GAVE AWAY 42 OF HER BOOKS SHE NOW HAS 150 BOOKS CALCULATE THE PERCENT CHANGE
HINT: how many books did she HAVE
please help me
Answer:
21.875%
Step-by-step explanation:
We need an equation to represent this problem,
Let x be the number of books she had before giving away 42 of them,
x - 42 = 150
To find out how many books she had before turn the problem around and add 42 with 150,
150 + 42 = x
⇒ x = 192
Now that you know that divide 42 by 192,
Let n be the quotient of 42/192
42/192 = n
⇒ n = 0.21875
Now to turn that into a percent move the decimal 2 spaces to the left,
0.21875
⇒ 2.1875
⇒ 21.875%
Therefore there was a 21.875% change.
Which statement is true?
The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480.
The value of 2,550 x (1,588 − 4) is 4 less than the value of 2,550 x 1,588.
The value of 2,943 x 5,682 + 6 is 6 times the value of 2,943 + 5,682.
The value of 4,530 − 2,356 is half the value of 2 x (4,530 − 2,356).
Answer: Last option is true,
Step-by-step explanation: All other option are false
Answer:
D
Step-by-step explanation:
If P and Q are points on a circle, then the center of the circle must be on the perpendicular bisector of chord P Q. Explain. Which point on the chord is closest to the center? Why?
The center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center.
What is a perpendicular bisector?It should be noted that a perpendicular bisector simply means a line the intersect another line through the intersection point.
In this case, the center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center. This bisects it at a right angle. The chord closer to the centimeter will be the one closer to the diameter.
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A scale drawing of Jack's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm. If each 1 cm on the scale drawing equals 5 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet
Answer:
(b) Length = 30 feet, width = 20 feet
Step-by-step explanation:
The scale factor is applied to the drawing dimensions to find the actual dimensions.
__
length = (6 cm) × (5 ft)/(1 cm) = 30 ft
width = (4 cm) × (5 ft)/(1 cm) = 20 ft
_____
Additional comment
You can also write the scale factor as part of a proportion:
5 ft : 1 cm :: x ft : 6 cm
Multiplying by 6 cm gives
(5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above
Complete the table of values for the equation y = 3x + 5.
f(x)=3x+5
f(-2)=3×(-2)+5
= -6+5
=-1
f(-1)=3×(-1)+5
=-3+5
=2
f(0)=3×0+5
=0+5
=5
f(1)=3×1+5
=3+5
=8
f(2)=3×2+5
=6+5
=11
What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?
Answer:
0.571428571429 grams per cm³
Step-by-step explanation:
density = mass/volume
Let’s calculate the volume V of the pyramid :
V = (1/3)×base×height
= (1÷3)×(5×7)×9
= 105 cm³
Then
The density = mass/volume
= 60÷105
= 0.571428571429
Can someone help me with number 4 please
Answer:
Step-by-step explanation:
Y = kx is the direct variation equation. First find k, the could variation. 16 = k * 20. Divide both sides by 20. 16/20 = k 4/5 = k. The direct variation is "y=kx" . As "x" increases the value of "y" increases.
A local dairy has three machines to fill half-gallon milk
cartons. The machines can fill the daily quota in 5
hours, 6 hours, and 7.5 hours, respectively. Find how
long it takes to fill the daily quota if all three machines
are running.
Answer:
Step-by-step explanation:
let's assume the quota is 1
1=the time each machine takes to fill the quota thus;
1=5hrs what about 1hr=1/5
1=6hrs what about 1hr =1/6
1=7.5hr what about 1hr =2/15
add: 1/5+1/6+2/15=1/2 reciprocate
=2hrs
Write the slope intersect form of the equation.
Through (8,1) perpendicular to y =1/2x +2
Answer:
Step-by-step explanation:
y= -(1/2)x - 5
What is the solution to the system of equations graphed below? A. (0, 2) B. (–2, 1) C. (0, –3) D. (–4, 0)
Answer:
B
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the lines intersect at (- 2, 1 )
then solution to system is (- 2, 1 )
a cylindrical water bottle is 15 centimeters tall. it can hold 753.6 of water. What is the radius of water the waterbottle? use 3.14 for
Answer:
The answer is 4cm.
Step-by-step explanation:
Given:
Height= 15cm
The volume of the Cylindrical bottle= 753.6
They have said to use π= 3.14
We are supposed to find r.
-------------------------------------------------------------
Volume of cylinder= πr²h
now substitute teh values given in the formula..we will get:
753.6 = 3.14× r²× 15
After u solve it , you will get
r²= 16
∴r = √16= 4cm
So, the radius of the bottle is 4cm
Hope it helps!!
√x^2+6x+9 if x<3
Pls help cant solve it
Answer:
F(x) < 6
Step-by-step explanation:
[tex]\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}[/tex]
This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6
pls pls pls pls pls pls pls answer it pls :(
Answer:
1. BC≅DC ; AC≅EC
2. ∠BCD≅∠ACE and ∠BCA≅∠DCE
3. SAS (side angle side)
Step-by-step explanation:
⚠️‼️ HELP PLEASE GIVING POINTS !!
Answer:
m∠QPR = 25°.
Step-by-step explanation:
If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°
What's are all the answers? Tap on the image.
Answer:
I think B, C, and F are the answers.
Step-by-step explanation:
what is the solution to w - 9 1/2 = 15
24 1/2
6 1/2
23 1/2
5 1/2
Answer:
Option A
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]\sf w - 9\dfrac{1}{2}=15\\\\ w - \dfrac{19}{2}=15[/tex]
Now isolate 'w'
[tex]\sf w = 15 +\dfrac{19}{2}\\\\= \dfrac{15*2}{1*2}+\dfrac{19}{2}\\\\=\dfrac{30}{2}+\dfrac{19}{2}\\\\=\dfrac{30+19}{2}\\\\=\dfrac{49}{2}\\\\= 24\dfrac{1}{2}[/tex]
Answer:
[tex]\huge\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]
Step-by-step explanation:
[tex]w - 9 \frac { 1 } { 2 } = 15[/tex]
Multiply both the sides of the equation by 2.
[tex]2w-\left(9\times 2+1\right)=30 \\2w-\left(18+1\right)=30 \\2w-19=30[/tex]
Bring [tex]19[/tex] to the left hand side of the equation.
[tex]2w=30+19 \\2w=49 \\\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Step-by-step explanation:
Area750 cm² = 750 × 10^-4 m²
pressure = F/A
= 61 /(750×10^-4)
= 61 × 10⁴/750
= 0.081 × 10⁴
= 810 N/ m²
Answer:
813N/m^2
Step-by-step explanation:
Pressure is defined as the amount of force applied to an area. There are 100cm in a single meter, therefore:
[tex]750cm^2=\sqrt{750} cm\frac{1}{100} \frac{m}{cm} =\frac{\sqrt{750} }{100} m=0.075m^2[/tex]
Pressure formula is:
[tex]P=Force/Area=61N/0.075m^2=813N/m^2[/tex]
Find the missing length pleaseeee!!!
Step-by-step explanation:
9.
[tex] \frac{15}{x} = \frac{10}{32} \\ x = 48[/tex]
So QR = 48
10.
[tex]since \: \: \frac{9}{13.5} = \frac{12}{18} \: \: we \: have \\ \\ \frac{12}{18} = \frac{10}{x} \\ x = 15[/tex]
So QP is 15
Avery and Megan are cutting paper to make origami stars. They need 1/5 of a sheet of paper in order to make each star. If they have 6 sheets of paper, how many stars can they make? Explain your work and draw a picture to support your reasoning.
Answer:
30 stars
Step-by-step explanation:
There are 5 1/5ths in 1. So 5x6(sheets of paper) is 30. For the picture part you could draw 6 sheets of paper and divide each into five parts.
Hope this helps! :)
I need help NOW asp please!!!!
Answer:
Option A, [tex]385.0\ ft^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the base
[tex]A = l * w[/tex]
[tex]A = 11\ ft * 11\ ft[/tex]
[tex]A = 121\ ft^2[/tex]
Step 2: Determine the area of the triangles
[tex]A = \frac{h * b}{2}[/tex]
[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]
[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]
[tex]A = \frac{66\ ft^2}{2}[/tex]
[tex]A = 33\ ft^2[/tex]
There are two of these triangles per side which means that there are 8 of these triangles in total.
[tex]33\ ft^2 * 8[/tex]
[tex]264\ ft^2[/tex]
Step 3: Determine the surface area
[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]
[tex]SA = 385\ ft^2[/tex]
Answer: Option A, [tex]385.0\ ft^2[/tex]
A recipe needs 34 cup of water for every 2 cups of flour. If you plan to use 6 cups of flour, how much water will you need?
Answer:
102 cups of water
Step-by-step explanation: If you need 34 cups of water for every 2 cups of flour, you can cut the 6 in half to get 3. 3 times 34 is 102.
What is the missing step in solving the inequality 4(x – 3) 4 < 10 6x? 1. the distributive property: 4x – 12 4 < 10 6x 2. combine like terms: 4x – 8 < 10 6x 3. the addition property of inequality: 4x < 18 6x 4. the subtraction property of inequality: –2x < 18 5. the division property of inequality: ________ x < –9 x > –9 x < x is less than or equal to negative startfraction 1 over 9 endfraction. x > –x is greater than or equal to negative startfraction 1 over 9 endfraction.
The missing step in solving the inequality is x > -9
How to determine the missing step?The inequality is given as:
4(x – 3) + 4 < 10 + 6x?
The steps are given as:
the distributive property: 4x – 12 + 4 < 10 + 6x combine like terms: 4x – 8 < 10 + 6x the addition property of inequality: 4x < 18 + 6x the subtraction property of inequality: –2x < 18The next step in solving the inequality is to apply the division property of inequality by dividing both sides by -2.
This gives
x > -9
Hence, the missing step in the inequality is x > -9
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John and Brian each live 2 kilometers from their school. John walks to school and Brian rides his bicycle. The graphs show the distance each boy travels to school.
John and Brian travel at the same speed between minutes ___ and ___
Answer:
Between minutes 6 and 10
Step-by-step explanation:
Look at the slope of the line. It appears to be the same between both lines between minutes 6 and 10
Answer:
they travel at the same speed between minutes 6 and 10
Mary has been put in charge of buying soft drinks and chips for a party. If the soft drinks total $25
and chips are $3.29 per bag, how many bags of chips can Mary buy if she wants to spend at most?
Answer: 22
Step-by-step explanation: She will have $75 To spend on drink and that can buy 75/3.29 chips
Last week, Caden's Ice Creamery sold 14 sundaes with nuts and 36 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
14:36
Step-by-step explanation:
Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?
Answer:
section covers somplifying algebraic expressions
Step-by-step explanation:
(4[tex]x^{3}[/tex])(2[tex]x^{-4}[/tex]) = [tex]\frac{4x^{3} }{2x^{4} }[/tex] = 2/x⇒Answer:
A) 1/4x
Step-by-step explanation:
Cause I took the test and got it right
5/3 divided by (-6/7).
Write your answer in simplest form.
Please please Help me!!
Answer:
-1 17/18
Step-by-step explanation:
I solved this.
Answer:
[tex]-\frac{35}{18}[/tex]
Step-by-step explanation:
[tex]\frac{5}{3}[/tex] ÷ [tex]-\frac{6}{7}[/tex] is the same as [tex]\frac{5}{3}[/tex] × [tex]-\frac{7}{6}[/tex]
Multiply across:
5 x 7 = 35
3 x 6 = 18
Applying the negative sign, we get:
[tex]-\frac{35}{18}[/tex]
Since we cannot simplify any further, -35/18 is out final answer.
Hope this helps!
How does the value of the digit 3 in the number 63,297 compare to the value of
the digit 3 in the number 60,325? Be sure to include what you know about place
value in your answer.
Explain
Answer:
Look below
Step-by-step explanation:
The digit three is in the thousands place in the number 63,297, so it represents 3,000. The digit three is in the hundreds place in the number 60,325, so it represents 300.
A semicircular window has a diameter of 10m what is the perimeter of the window use 3. 14 for pi ?
Please help it’s worth 20 points!!!
Answer:
25.7 m
Step-by-step explanation:
Semicircles are half circles that are divided at the diameter.
We want to find the semicircle arc.
To do this, just find the circumference of the circle and then divide by 2.
Circumference formula:
2rπ or Dπ
10π = 31.4
31.4 / 2 = 15.7
Now, we have to find the straight line part of the semicircle. The length of that straight line is the diameter. We already know that the diameter is 10.
Add
15.7+10 = 25.7
Graph the line with slope 3/2 and y-intercept 3.
Answer:
The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a 5 % incline can be written as 5100 , which means that for every 100 feet forward, the height increases 5 feet.Figure 4.4.1 In mathematics incline of a line the slope and use the letter m to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example 4.4.1 Figure 4.4.2 From the given points on the graph, count 3 units down and 4 units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .
Step-by-step explanation: