· At Jefferson High School, 30% of students drive to school, 60% of students ride the bus to
school, and 10% of students walk to school. There are 375 students who drive to school.
How many more students drite to school than walk to school?
Answer:
Difference = 250 students
Step-by-step explanation:
Let the total number of students be x.
Given the following data;
% driving = 30%
% riding = 60%
% walking = 10%
Number of students driving = 375
First of all, we would determine the total number of students.
Total = 30/100 * x = 375
0.3x = 375
Total, x = 375/0.3
Total, x = 1250 students.
Next, we determine the number of students walking;
Walking = 10/100 * 1250
Walking = 12500/100
Walking = 125 students
Finally, we would determine many more students drive to school than walk to school;
Difference = 375 - 125
Difference = 250 students
A force of 350 pounds is resolved into component forces. If it makes an angle of 67° with the horizontal, find the larger component. 322 lb 235 lb 137 lb 380 lb
Answer: [tex]322\ lb[/tex]
Step-by-step explanation:
Given
The magnitude of the force [tex]F=350\ \text{Pounds}[/tex]
The force makes an angle of [tex]67^{\circ}[/tex] with the horizontal
So, the components of the force are
[tex]\Rightarrow F\cos 67^{\circ}, F\sin 67^{\circ}\\\Rightarrow F\cos 67^{\circ}=350\cos 67^{\circ}\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^{\circ}=350\sin 67^{\circ}\\=322.17\ lb[/tex]
The larger among the two is [tex]F\sin 67^{\circ}[/tex] i.e. [tex]322\ lb[/tex]
Subject: Pre-algebra
Questions:
1.If two angles are congruent, then their measures are equal.
True or False
2.If two angles are supplementary, then the sum of their measures are 90 degrees.
True or False
I NEED HELP ASAP ! ! !
Answer:
1: true
2: false
Step-by-step explanation:
1: congruent = equal while supplementary = 180-degrees
2: congruent angles= vertical angles, corresponding angles, alternate interior angles, & alternate exterior angles
26 30 45 43 26
14 28 33 56 29
What is the mean of the data set?
26+30+45+43+26+14+28+33+56+29 = 330
330/10 (numbers) = 33!
Answer:
33
Step-by-step explanation:
add up all the numbers and divide by how many numbers there are.
12. The temperature was –3° C last night. It is now 4° C. What was the
change in temperature?
Answer:
7
Step-by-step explanation:
-3 + 3 = 0
0 + 4 = 4
4 + 3 = 7
Answer:
[tex]7^\circ\text{C}[/tex]
Step-by-step explanation:
Calculate second temperature minus the first one.
4 - (-3) = 4 + 3 = 7
A quadratic function f whose zeros are -3,-8
Answer:
[tex]x^2+11x+24=0[/tex]
Step-by-step explanation:
Given that,
The zeros of a quadratic function are -3 and -8
It means,
(x+3) = 0 and (x+8)=0
Now multiply them together,
[tex](x+3)(x+8)=0\\\\x^2+8x+3x+24=0\\\\x^2+11x+24=0[/tex]
Hence, the required equation is equal to [tex]x^2+11x+24=0[/tex].
A clock lost 2 minutes and 36 seconds in 78 days. How many seconds did it lose per day?
the clock lost 2 seconds per day
Can someone help me solve -x+6=1.
Answer:
x=5
Step-by-step explanation:
-x+6=1
-x=1-6
-x=-5
x=5
Find the lenght of c using the Pythagorean theorem
Answer:
the Pythagorean theorem states:
a^2 + b^2 = c^2
in your case a=14 and b=48
Step-by-step explanation:
14^2 + 48^2 = c^2
14x14 + 48x48 = c^2
(196 + 2304 = 2500)
2500 = c^2
√2500 = c
50 = c
Final answer: 50
Are all cones similar?
Answer: all cones with the same height are always similar. False... radii could differ. ... Doubling the radius of a sphere doubles its surface area.
Step-by-step explanation:
500
53°
옷
62°
800
Upkkhekydkhhdkhd
9514 1404 393
Answer:
x = 65
Step-by-step explanation:
Label the two points where the diagonal lines intersect the baseline A and B, with A on the left.
Obtuse angle A is the sum of the remote interior angles 53° and 80°, so is 133°. Obtuse angle B is the sum of the remote interior angles 50° and 62°, so is 112°. Angle x° is the third interior angle of the small triangle, so is ...
x° = 180° -(180° -133°) -(180° -112°) = 133° +112° -180° = 65°
x = 65
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off their purchase. They split the remaining cost equally. Which expression could be used to find the amount each person paid?
Answer:C. [12.35+(2.25x3)-2]÷3
no fke answers only real ones
1
How does the graph of g(x) =
X+4
-6
compare to the graph of the parent function RX)=
- ?
g(x) is shifted 4 units right and 6 units up from f(x).
O g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
O g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
[tex]g(x) = f(x+4) - 6[/tex]
Transformation 1:
[tex]g(x) = f(x+4)[/tex]
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
[tex]g(x) = f(x+4) - 6[/tex]
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
Select the favorable outcomes for rolling a sum of seven.
O (5-1) (5-2) (5-3) (5-4) (5-5) (5-6)
O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
O (1-1) (1-2) (1-3) (2-1) (2-2)(3-1)
O (1-1) (2-2) (3-3) (4-4) (5-5) (6-6)
Answer:
The second one
O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
Step-by-step explanation:
Favorable outcome is the outcome that we are looking for
The outcome that we are looking for when rolling two = die is a sum of 7
The set (1-6) (2-5) (3-4) (4-3) (5-2) (6-1) all add up to equal 7
( 1 , 6 ) 1 + 6 = 7
( 2 , 5 ) 2 + 5 = 7
( 3 , 4 ) 3 + 4 = 7
etc.
Which means that they are the favorable outcomes for rolling a seven
which system of equations does this graph represent?
1) y=x^2-5
y=-x+1
2) y=x^2-5
y=-x-1
3) y=x^2+5
y=-x+1
4) y=x^2+5
y=-x-1
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Find the measure of the arc indicated.
pls help 10 pts
no links
Answer:
a
Step-by-step explanation:
the answer is A I hope that helps you for school
х
The table of values below represent an exponential function. Write an exponential equation that models the data.
у
-2 23
-1 16.1
0 11.27
1 7.889
2 5.5223
a.
y = 23(0.7)
y = 16.1(1.7)
C. y = 11.27(0.7)
d.
y = 11.27(1.3)
b.
9514 1404 393
Answer:
C. y = 11.27(0.7^x)
Step-by-step explanation:
The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.
Find the volume of the prism below if each cube has a side length of 1/8 of a foot
Answer:
[tex]Volume = \frac{3}{128}ft^3[/tex]
Step-by-step explanation:
Given
[tex]Length = 1\ cube[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]1\ cube = \frac{1}{8}ft[/tex]
Required
The volume of the cube
Start by calculating the dimension in ft
[tex]Length = 1\ cube[/tex]
[tex]Length = 1 * \frac{1}{8}ft[/tex]
[tex]Length = \frac{1}{8}ft[/tex]
[tex]Width = 3\ cubes[/tex]
[tex]Width = 3 * \frac{1}{8}ft[/tex]
[tex]Width = \frac{3}{8}ft[/tex]
[tex]Height = 4\ cubes[/tex]
[tex]Height = 4 * \frac{1}{8}ft[/tex]
[tex]Height = \frac{1}{2}ft[/tex]
So, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = \frac{1}{8}ft * \frac{3}{8}ft * \frac{1}{2}ft[/tex]
[tex]Volume = \frac{1}{8} * \frac{3}{8} * \frac{1}{2}ft^3[/tex]
Using a calculator, we have:
[tex]Volume = \frac{3}{128}ft^3[/tex]
The vertices of a triangle are A(2, a), B(-3, 1) and C(-8, -2) right-angled at A. Find the possible values of a.
Answer:
[tex]BC = \sqrt{(-3+8)^2 +(1+2)^2} = \sqrt{34}\\\\AB =\sqrt{(-3-2)^2+(1-a)^2} = \sqrt{25+(1-a)^2} \\\\AC = \sqrt{(2+8)^2+(a+2)^2} = \sqrt{100+(a+2)^2} \\\\AB^2 + AC^2 = BC^2\\\\ (\sqrt{25+(1-a)^2})^2+ (\sqrt{100+(a+2)^2})^2= (\sqrt{34})^2 \\\\25+(1-a)^2+100+(a+2)^2=34\\\\125+1+a^2-2a+a^2+4+2a=34\\\\130+2a^2 =34\\\\2a^2+96=0\\\\a^2+48=0\\\\a = \sqrt{-48}[/tex]
What is the midpoint of the line segment with endpoints (1,2) and (7,8)?
Answer:
(4,5)
Step-by-step explanation:
Use the midpoint formula
(( x1 + x2)/2, (y1 + y2)/2 )
USING A2+B2=c2
For the following right triangle, find the side length x.
DELL
Answer:
[tex]x=15[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse), a and b are the other sides of the right angled triangle.
In this question, c is labelled as [tex]x[/tex].
Therefore, we can use the theorem to find [tex]x[/tex].
[tex]x^2 = a^2+b^2[/tex]
So, substitute in the other sides and solve for [tex]x[/tex].
[tex]x^2 = (9)^2 + (12)^2\\x^2 = 81 + 144\\x^2 = 225\\x = 15[/tex]
We can see the answer is correct because it is meant to be the largest side and [tex]15> 12>9[/tex].
You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the incline plane is 26 ft from the shelving unit. What is the length of the incline plane? FAST HELPPP MEE PLEASEE IM STUCK
Answer:
17.46 ft
Step-by-step explanation:
The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]7^{2} + 16^{2} = c^{2}[/tex]
[tex]49 + 256 = c^{2}[/tex]
[tex]305 = c^{2}[/tex] ... square root both sides
17.46 = c
need help please someone
Answer:
56.55
Step-by-step explanation:
Solution
V=
π
r
2
h
=
π
3
2
2
≈
56.54867
PLEASE HELP! (100 points)
Jose simplified an expression as shown below:
Given: x+3+7(x-5)
Step 1: x+3+7x-5
Step 2: 8x+3-5
Step 3: 8x-2
In which step did Jose make a mistake? What should he have done instead?
Answer:
8x-32
Step-by-step explanation:
Distribute 7 through the parenthesis
x+3+7(x-5)
=x+3+7x-35
Collect the like terms
x+3+7x-35
=8x+3-35
Calculator the difference
8x+3-35
=8x-32
He didn't followed the parentheses method from the beginning itself.
Hope it helps.
pls pls help i realy need help
Answer:
a <= 3
Step-by-step explanation:
Find the slope
2/3
-2/3
3/2
-3/2
X/4 < 1.5 show steps please
Step-by-step explanation:
x/4<1.5x<1.5×4x<6stay safe healthy and happy...Plz help me well mark brainliest if correct....................................................!??????pppppppppppppppppppppppppppppppplllllllllllllllllllllllllllllllllllllzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
71
Step-by-step explanation:
cumulative means all together