4) Let the number be : N
Given : 10% of this number is 25
[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]
[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]
[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]
[tex]\sf{\implies N = 250}[/tex]
Now we need to find 60% of 250
[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]
[tex]\sf{\implies 6 \times 25}[/tex]
[tex]\sf{\implies 150}[/tex]
5) Given : James left the home at 10 : 00 AM
First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.
So, James reached the skate park 10 : 15 AM
Second : They stayed at the skate park for an hour
So, till 11 : 15 AM James and Tom were at skate park
Third : Then they will take a 10 minutes walk over to the Burger bar
So, James and Tom reached the Burger bar at 11 : 25 AM
6) First let us find 75% of 80
[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]
[tex]\sf{\implies 15 \times 4}[/tex]
[tex]\sf{\implies 60}[/tex]
Now let us find 40% of 30
[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]
[tex]\sf{\implies 12}[/tex]
Now, (60 - 12) = 48
Answer: 75% of 80 is 48 greater than 40% of 30
7) Given : Journey to school takes 70 minutes
We know that : 1 hour = 60 minutes
So, 70 minutes = 1 hour + 10 minutes
Given : Boy leaves the home at 0715
Answer: The Boy arrives at 0825
A roof is supported o 7 rafter each 6 1/2 feet long at 70 cents running foot how much did those rafters cost
Answer:
$31.85
Step-by-step explanation:
total cost of the rafters = total length of rafters used x cost per foot
total length of rafters used = number of rafters used x length of rafters
7 x [tex]6\frac{1}{2}[/tex]
to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]
cost per foot = 70 cents
100 cents = 1 dollar
70 cents = $0.70
total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85
find the radius of a circle having area 2464cm²
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Area of the circle = 2464 cm².
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The radius of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Let "[tex]r[/tex]" be the radius of the circle.
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]
[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢ {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢ {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢ {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]
[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? (9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots
Answer:
Step-by-step explanation:
3 roots
namely -7/9,-1/4.-4/3
Help,anyone can help me do quetion,I will mark brainlest.
Answer:
Step-by-step explanation:
B3)
z + 127 = 180 {linear pair}
z = 180 - 127
z = 53
y= 55 {Corresponding angles}
w + z + y = 180 {angle sum property of triangle}
w + 53 + 55 = 180
w + 108 = 180
w = 180 -108
w = 72
x = w {Vertiaclly opposite angles}
x = 72
B4) q + 101 = 180 {Linear pair}
q = 180 -101
q = 79
p = 142 {Corresponding angles}
p + s = 180 {linear pair}
142 + s = 180
s = 180 - 142
s = 38
s +q +r = 180 {angle sum property of triangle}
38 + 79 + r = 180
117 + r = 180
r = 180 - 117
r = 63
y + 63 = 180 {linear pair}
y = 180 - 63
y = 117
x = q = {corresponding angles}
x = 79
Helpppppp!!’nnnnnnn.
Answer:
35.75
Step-by-step explanation:
times 65 by 55%
If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram
Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.
answer:
Height = Area of parallelogram / base of parallelogram
Step-by-step explanation:
The corresponding height of the parallelogram can be calculated using the general equation below :
Height = Area of parallelogram / base of parallelogram
Kindly input the values you have into the relation to get the corresponding height of the parallelogram.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]
Question 1 = y = -5x + 50
On the graph, c = 50 [ y = mx + 50 ]
30 - 15 = 15
7 - 4 = 3
15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]
ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50
If x = 9, y = (9 x -5) + 50, = -5
y = -5
Question 2 = y = 2.5x + 5
c = 5
m = 5/2 = 2.5
y = 2.5x + 5
when y = 30 > x = 10
30 = 2.5x + 5
30 - 5 = 25
25 = 2.5x
x = 25/2.5
x = 10
Question 3 = y = -10x + 50
c = 50
m = (30 - 20) / 1 = 10
y = -10x + 50
when x = 4 > y = (-10 x 4) + 50
y = -40 + 50
y = 10
Find the length of the arc. Leave the answer in terms of π
a rectangular solid box measures 2.17 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth
Answer:
117.18 yards
Step-by-step explanation:
480in=40ft
2.17x4.05x40=351.54tf
351.54ft=117.18yrds
The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10
Answer:
y=10
Step-by-step explanation:
Answer:
[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]
Please I need help with this!!!!!!
Answer:
Step-by-step explanation:
1) Step 4: Marc has converted radical form to exponent form
Step 5: He has evaluated the value of the radical
3)
[tex]x = \sqrt[3]{8}[/tex]
Here, 3 is index and 8 is radicand.
Prime factorize 8 and for every 3 numbers we can take one number outside the radical
Solution:
[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]
4) No,my equation does not have an extraneous solution.
My solution, satisfies the equation
Hi there. May you please help if you can!
A(-4, 1), B(1, 5), C(4, -3), and D(-2, -3) are the vertices of a quadrilateral. Determine the coordinates of the image vertices after each transformation of ABCD. a) a reflection in the x-axis b) a reflection in the y-axis c) a rotation of 180° cw about the origin d) a rotation of 270° cw about the origin
Show your work
Answer:
hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch
Jamar has a points card for a movie theater. He receives 20 rewards points just for signing up. He earns 12.5 points for each visit to the movie theater. He needs at least 95 points for a free movie ticket.
The price of a cell phone is 500$ Kathleen pays 8% sales tax on the price of the cell phone. How much sales tax does she pay?
Answer:
8%/100×500=$40
Kathleen pays $40 sales tax
Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:
Answer:
The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]
Step-by-step explanation:
By Geometry, we get the following equivalencies:
[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)
[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)
[tex]b = 4\sqrt{3}[/tex]
[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)
[tex]c = 4\sqrt{6}[/tex]
[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)
[tex]d = 6\sqrt{2}[/tex]
A. The vertical scale is too high.
B. The vertical scale should not start at zero.
C. The bars are not the same width.
D. The bars are not the same height.
Find the mean of the data set:
10, 8, 7, 7, 9, 10
Answer:
jk
Step-by-step explanation:
Answer:
nxgxhdhdjdkdkdjdjjddbdvd f fvfbfbfnfjjfcjjfjfjfjfjdjdjdjdjdjdjdjdjdjjjdjdjfjfjfjfjffjfjfjfjfjf
Just B please. It’s not 4:3 tho please can someone helo
Answer:
The workout ratio of the online sales to shop sales is 1:3
Step-by-step explanation:
Given:
A jewelry shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops website. The rest were sold in a High Street shop.
To find:
Work out the ratio of online sales to shop sales.
Solution:
Total no necklaces = 240
Necklace sold on website = 180
Remaining necklace sold via street = 240 - 180 = 60
Ratio = 60 : 180 = 1 : 3
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
Learn more about division here -
https://brainly.com/question/13706292
#SPJ2
AB=? Round your answer to the nearest hundredth
What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution
Answer:
A
Step-by-step explanation:
2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .
Which ordered pair is the best approximation of the solution?
Answer:
D. (0.6, 1.3)
Step-by-step explanation:
we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.
the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.
the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).
so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.
therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.
A rectangular prism tank has a base with a length of 40 inches, a width of 35 inches and a height of 12 inches. What is the volume of water in the tank if the tank is filled with water to 75% capacity ?
Answer:
12600 in³
Step-by-step explanation:
Applying,
V = lwh................. Equation 1
Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.
From the question,
Given: l = 40 inches, w = 35 inches, h = 12 inches
Substitute these values into equation 2
V = 40(35)(12)
V = 16800 in³
If the volume of water is 75% the capacity of tank.
Therefore,
Volume of water = 0.75(V)
Volume of water = 0.75(16800)
Volume of water = 12600 in³
HELP NEEDED!! Find the sine of W
Answer:
[tex]\frac{\sqrt{47}}{10}[/tex]
Step-by-step explanation:
First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].
Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].
do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.
[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]
Sine of an angle is Opposite over Hypotenuse to get
[tex]\frac{\sqrt{47} }{10}[/tex]
Find the volume of the cylinder round your answer to the nearest tenth.
Answer:
V = 17362.9 ft^3 using 3.14 for the approximation
17371.8 ft^3 using the pi button
Step-by-step explanation:
V = pi r^2 h where r is the radius and h is the height
V = pi (12)^2 ( 38.4)
V =pi ( 144) 38.4
5529.6pi
Letting pi be 3.14
V = 5529.6 (3.14)
V =17362.944 ft^3
Rounding to the nearest tenth
V = 17362.9 ft^3
Letting pi = pi button
V =17371.75074 or to the nearest tenth 17371.8 ft^3
If chicken wire comes in rolls that are 48 inches long, determine the smallest amount of rolls that will be needed to fence the garden
Answer:
No solution is possible from the information provided.
Step-by-step explanation:
if f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)
Answer:
3, -1
Step-by-step explanation:
just set f(x) = g(x)
x^2 + 3x + 4 = 5x + 7
combine like terms
x^2 - 2x - 3 = 0
factor
(x-3)(x+1)=0
x = 3, x = -1
so, f(x) = g(x) when x = 3 or -1
A. 0.1
B. 0.5
C. 2
D. 5
Answer:
5 I think
Step-by-step explanation:
Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho
Answer:
0.5
Step-by-step explanation:
So we know the orginal is 10 in size.
The new is 5 in size.
We can think of this as 10 : 5
To find the exact scale, we can divide both by the GCF.
The GCF is the greatest common factor between two numbers.
In this case, the GCF would be 5, now lets divide:
10/5 : 5/5
=
2 : 1
So we can see the ratio is 2 to 1.
Now, the scale is not 2.
The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.
To find the scale, you must divide the new scaled value by the orginal value:
1 / 2
=
1/2
So this is your scale factor.
There is actually another way to do this as well, which is quicker.
Take the new value, 5, and divide it by the orginal value, 10:
5/10
=
1/2
Either way, you get 1/2 as your answer.
Hope this helps!
Find the slope of the line that contains the points named. G(3, -2), H(7, -2)
A. 0
B. -1
C. Undefined
A. 0
Answer:
Solution given
(x1,y1)=G(3, -2),
(x2,y2)=H(7, -2)
now
slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0
Answer:
0
Step-by-step explanation:
To find the slope
m= ( y2-y1)/(x2-x1)
= ( -2 - -2)/ ( 7-3)
= (-2+2)/(7-3)
= 0/4
Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answer:
(-8 , -2)
Step-by-step explanation:
the coordinates of B’ are (-8 , 2)
then
Since B also is the image of B’ through the reflection across the x-axis
then the coordinates of B are (-8 , -2)
Answer:
(-8, -2)
Step-by-step explanation: