Answers
Related Questions
When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answers
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
Four consecutive even integers have a sum of 332. What is the least of these integer
Answers
Answer: 80
Step-by-step explanation:
set the 4 numbers to be x,x+2,x+4,x+6
They add up to 332 so the equation would be
x+(x+2)+(x+4)+(x+6)=332
4x=320
x=80
the rest of the numbers are 82,84,86
smallest is 80
PLS HELP WILL MARK BRANLIEST!!
Find the m
54°
90°
27°
36°
Answers
Answer:
[tex]\huge\boxed{\sf < p = 36\°}[/tex]
Step-by-step explanation:
Since, the line is tangent to the circle, it is making an angle of 90 degree with the radius.
So,
∠p + 54 + 90 = 180 (Interior angles of a triangle add up to 180°)
∠p + 144 = 180
Subtract 144 to both sides
∠p = 180 - 144
∠p = 36°[tex]\rule[225]{225}{2}[/tex]
Answer:
36°
Step-by-step explanation:
Tangent lines form Right Angles (90°) with all radii of circles.
Triangle Angle Sum: the three angles in a triangle add to 180°
90 + 54 + p = 180
144 + p = 180
p = 36
Solve the system of linear equations by substitution.
5x + 2y = 9
-0.5x - y = 7.5
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{5x+2y=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop {-0.5x-y=7.5\ \ \ \ \ \ \ \ |\cdot2}} \right. \\\\\\\left \{ {{5x+2y=9} \atop {-x-2y=15}} \right. \\+\\--------\\4x=24\ \ \Rightarrow\ x=24:4\Rightarrow\ x=6\\\\y=-0.5x-7.5=-0.5\cdot6-7.5=-3-7.5=-10.5\\\\\boxed{(x;y)=(6;-10.5)}[/tex]
A pillar of height 222 ft casts a shadow of 348 ft long.
Find the measure of the angle of elevation of the sun.
Answers
Using tangent of the angle, the angle of elevation is 32.5 degrees
Angle of ElevationThe angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
In this problem, we have to use the tangent of the angle since we know the opposite and adjacent sides
opposite side = 222adjacent side = 348Tan θ = opposite / adjacent
tanθ = 222 / 348
tan θ = 0.6379
θ = tan⁻¹(0.6379)
θ = 32.5°
The angle of elevation is 32.5 degrees
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Alan purchased three types of pipe for a plumbing job: foot of PVC pipe, foot of copper pipe, and 2 feet of cast iron
pipe. How many total feet of pipe did he purchase? (Simplify your answer and state it as a mixed number.)
O2 feet
Answers
Answer: 4 feet of pipe
Step-by-step explanation:
1(f)+1(f)+(2(f)=4(f)
f=feet
Dr. Hill charges $30 for a tutoring session, plus $0.25 per problem.
Write an equation to represent the problem.
Then, determine how many problems he helped with if he charged $47.75
Answers
Part B: 71 problems
Could anyone help? I have to turn this in tomorrow!
Answers
Answer:
Step-by-step explanation:
5 is D
6 is also D
In a certain board game, players spin a spinner to determine how many spaces they advance. The odds in favor of advancing five spaces are 3/10. Find the probability of advancing five spaces.
(b)Ravi has a box of candies with different flavors. He will randomly choose one piece of candy. The probability that he chooses a strawberry-flavored piece is 6/19. What are the odds against him choosing a strawberry-flavored piece?
Answers
The probability of advancing five spaces is 3/13 and the odds against is 13 : 6
How to determine the probability and the odds?The board game
From the question, we have the odds to be
Odds in favour = 3/10
This can be rewritten as
Odds in favour = 3 : 10
For an odd represented as a : b, the probability is
Probability = a/a + b
Using the above as a guide, we have
Probability = 3/13
The box of candies
From the question, we have the probability to be
Probability = 6/19
For a probability represented as a/b, the odds against is
Odds = b - a : a
Using the above as a guide, we have
Odds = 19 - 6: 6
Evaluate
Odds = 13 : 6
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Solve one and three-fourths times two-fourths equals blank.
fourteen-sixteenths
fifteen-sixteenths
one and one-sixteenth
one and two-sixteenths
Answers
Answer:
fourteen-sixteenths or seven eights = 7/8 or 14/16
Step-by-step explanation:
Suppose that the function h is defined, for all real numbers, as follows.
Answers
According to the query that the function h is established, h(-3) = -1/2, h(2) = 4, and h(4) = -4/1 for all real integers.
What are the different kinds of functions?An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.
Briefing:Have used the top form of h(x) for x = variables -3 and 4 (which deviate from 2):
[tex]\begin{aligned}& h(x)=-\frac{1}{2} x^2+4 \\& h(-3)=-\frac{1}{2}(-3)^2+4=-\frac{9}{2}+4=-\frac{9}{2}+\frac{4}{2}=-\frac{1}{2} \\& h(4)=-\frac{1}{2}(4)^2+4=-\frac{16}{2}+4=-\frac{16}{2}+\frac{4}{1}=-\frac{4}{1}\end{aligned}[/tex]
Alternatively, h(2) must be defined explicitly as stated in the function's second description (specific for when x equals 2). Thus, h(2) equals 4.
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Solve for x and the missing measures given QS = 34 and TS = 3x + 2
Answers
Answer:
x = 5
TS = 17
QT = 17
Step-by-step explanation:
The tick marks show us that line segment QT is equal to TS.
QS = QT + TS and QT and TS are the same length
34 = 2(3x + 2) Distribute the 2
34 = 6x + 4 Subtract 4 from both sides
30 = 6x Divide both sides by 6
5 = x
Substitute in 5 for x
3x + 2
3(5) + 2
15 + 2 = 17
TS is 17
QT is 17
What angles are linear pairs? Check all that apply.
Answers
Answer:
show the choices please.
Step-by-step explanation:
Solve for y. y ≥ 10 y ≥ -10 y ≤ -10 y ≤ 10
Answers
The solution for y in the inequality is (a) y ≥ 10
How to determine the solution for x?From the question, we have the following inequality expression that can be used in our computation:
42≤4.2y
Rewrite the expression properly
So, we have the following representation
42 ≤ 4.2y
Divide both sides of the inequality by 4.2
So, we have
42/4.2 ≤ 4.2y/4.2
Evaluate the quotients
So, we have the following representation
10 ≤ y
Rewrite the expression as
y ≥ 10
Hence, the solution is y ≥ 10
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Possible question
Solve for y. 42≤4.2y
y ≥ 10 y ≥ -10 y ≤ -10 y ≤ 10
"Test I. Encircle the letter that corresponds your answer. 2 points each
1. How many solutions do you get when you solve by completing the square?
a. 1
b. 2
c. 3
d. 4
2. When completing the square, what do you do if your x squared term has a coefficient?
a. Divide both sides by this coefficient
c. Multiply both sides by this coefficient
b. Nothing
d. Move it to the other side
3. Find the value of b in the quadratic equation 2x²=-5 x+7
a. 2
b. 5
c. -7
d. -5
4. Which of the following mathematical statements is not a quadratic equation?
a. 2 r²-3r-5=0
c. 3t²+7t-2=0
b. 7h+12=h²
d. s²=-8s-15
5. It is a polynomial equation of degree two that can be written in the form ax²+bx+c=0, where a, b, and c are real numbers and a≠ 0.
a. Linear Equation
b. Linear Inequality
c. Quadratic Equation
d. Quadratic Inequality)
"
Answers
The solutions using completing the square of quadratic equations are;
1) B: 2
2) A: Divide both sides by this coefficient
3) B: 5
4) All are quadratic equations
5) C. Quadratic Equation
How to solve quadratic equations by completing the square?1) Completing the square is basically a method for solving quadratic equations. Now, quadratic equations are second degree polynomials and as such have 2 roots. Thus, the solutions are 2.
2) Usually when using the method of completing the square, we are also trying to get rid of the coefficient attached to x squared and as such if we notice x squared has a coefficient, we will divide both sides by this coefficient.
3) The general form of quadratic equation is;
y = ax² + bx + c
Thus, we have;
2x² + 5x - 7 = 0
Thus, b = 5
4) They are all quadratic equations.
5) The correct one here is Quadratic Equation
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Leila's vegetable garden has an area of 400 ft. It is the shape of a rectangle with a length of 40 ft and a width of She has decided to expand the garden to make room for several new varieties of lettuce. The new garden will be a larger rectangle. She plans on making the new length 2 times the current length and the new' width 4 times the current width.
(a) Fill in the blanks to describe the size of Leila's new garden.
___ ft x ___ ft = ___ ft²
(b) How will the expansion change the area of the garden?
The area of the new garden will be _____ times the area of the current garden.
(c) Leila's friend Keiko also wants to expand her rectangular garden. Keiko wants her new garden to be a rectangle that has 20 times the area of her current garden. She goes to Leila for advice. Fill in the blank so that Leila's advice to Keiko is correct.
Make the new length 5 times the current length, and make the new width _____times the current width.
Answers
The answers of all the blanks are as:
a) 3200ft².
b) 8 times.
c) 100ft.
What is the area of the rectangle?
When calculating a rectangle's area, we multiply the length by the width of the rectangle.
we have,
length = 40ft
width = 10ft
Leila's vegetable garden has an area of 400 ft.
a)
new length = 40 * 2 =80ft
new width = 10 * 4 = 40ft
Therefore, this describes the size of Leila's new garden :
= 80 * 40 = 3200ft²
b)
3200 / 400 = 8
The expansion changes the area of the garden:
The area of the new garden will be 8 times the area of the current garden.
c)
Leila's friend Keiko wants to expand her rectangular garden by 20 times the area of her current garden:
400 * 20 = 8000ft²
Keiko's garden length would be 5 times the current length:
40 * 5 = 80ft
and the new width would be the current width :
new width of Keiko's garden = 8000 / 80 = 100ft.
Hence, the answers of all the blanks are as:
a) 3200ft².
b) 8 times.
c) 100ft.
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17. Write 2 numbers that are less than -1000?
Answers
Answer: -1001, -1002
Step-by-step explanation:
use the parallax formula to complete the following statements correctly.
A star with a parallax angle of 0.1 arcsecond is ___ away from us:
A star with a parallax angle of 0.01 arcsecond is ___ away from us:
A star with a parallax angle of 0.001 arcsecond is _____ away from us.
A star with a parallax angle of 0.0001 arcsecond is ____ away from us.
Answers
The distance between us and a star with a parallax angle of 0.1 arcsecond is 3.26 light years.
The distance between us and a star with a parallax angle of 0.01 arcsecond is 326 light years.
The distance between us and a star with a parallax angle of 0.001 arcsecond is 3260 light years.
The distance between us and a star with a parallax angle of 0.0001 arcsecond is 32600 light years.
How do you determine distances?The distance at which an object has a parallax of 1 arcsecond is known as a parsec. 3.26 light years are about how far this is.
The length of one parsec is 3.26 light years.
One arcsecond is equal to one parsec, which is equal to 3.26 light years.
We determine the other provided arcseconds based on this comparison.
3.26 light years make up a parsec.
0.1 arcsecond = 10 parsec
= 10 * 3.26 light years
= 32.6 light years
0.01 arcsecond = 100 parsec
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The microwave oven uses only 1000 watts of electricity. Does this allow you to have both the microwave oven and the toaster plugged into the circuit at the same time? Explain your reasoning.
Answers
watts
Load of microwave=1000
watts
Load of the toaster=800
watts
Load of microwave+
load of toaster<
maximum load allowed in circuit
1000+800<1800
1800<1800
, this is not true because1800
is equal to1800
and not less than that.
Find the solution of the system of equations.
4x - y = -1
-4x-6y=-34
Answers
Answer:
Step-by-step explanation:
4x-3y=11. 2 (2x-7y=22).=> 4x-14y=44. 4x-3y=11....................1. 4x-14y=44. 11y= -33. y= -3. then,putting it in 1. 4x-3 (-3)=11.
Greatest common factor of 48, 8, 32
Answers
Answer 16
Step-by-step explanation:
PLEASE HELP ASAP!!!! FULL ANSWER ONLY!!!
A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The quadratic function h = − 16 t^2 + 84 t + 72 models the ball's height above the ground, h , in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? ____________ feet
b) How many seconds does it take until the ball hits the ground? ____________ seconds
Answers
The time taken by the ball to hit the ground is 9 seconds in quadratic equation .
What does quartic equation mean?
A fourth-degree equation, also known as a quartic equation, is one that reduces a quartic polynomial to zero and has the formula: where a 0. A quartic function's derivative is a cubic function.
a) The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.
Differentiating both sides.
δh/δt = -32t + 136
-32t + 136 = 0
or, t = 136/32 = 4.5.
To check whether the value of h is maximum/minimum at t = 4.5, we differentiate
δh/δt = -32t + 136
δh/δt = -32
which is < 0, which that implies, h is maximum at t = 4.5.
the maximum height, by putting in t = 4.5, in the equation, to get:
h = -16(4.5)² + 136(4.5) + 72,
or, h = -16(20.25) + 612 + 72,
or, h = -324 + 684 = 360
Therefore, The maximum height of the ball is 360 feet.
b) the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.
Therefore, it can be written as:
0 = -16t² + 136t + 72.
or, 16t² - 136t - 72 = 0.
Solving this using the quadratic equation, we get
t = - ( -136)± √(-136)² - 4( 16 ) ( -72)/2 * 16
t = 136 ± √18496 + 4608/32
t = 136 ± √23104/32
t = 136 ± 52/32
Therefore, either t = (136+152)/32 = 9,
or, t (136 - 152)/32 = -0.5.
Since t represents time, we won't take the negative value, and hence t = 9.
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What is the distance between point p and q
- P(-5,7) Q(6,7)
Answers
The distance between the two points P(-5, 7) and Q(6, 7) is 11 units.
What is the distance formula?The distance formula between two points (x₁, y₁) and (x₂, y₂) is,
D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Two points are given P(-5, 7) and Q(6, 7).
∴ D = [tex]\sqrt{(6 + 5)^2 + (7 - 7)^2[/tex].
D = [tex]\sqrt{(11)^2[/tex].
D = 11 units.
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A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounces of sugar, how many ounces of flour would you need to use? Solve by using equivalent fractions.
_________________ounces of flour (write just the number)
Answers
Correct answer is:
27
Answer:
There would be 27 ounces of flour
Step-by-step explanation:
The ratio is 7:3 for sugar to flour.
I divided the 63 ounces of sugar by 7 to earn 9
Now, I multiplied 9 by 3 to get 27
Now thee ratio is 63:27
If you divide 7 and 3 you will get 2.3 repeating
If you divide 63 and 27 you will also get 2.3 repeating
Hope that makes sense! ;)
Solve w=1/2x^2y for x
Answers
Answer : x= [tex]\sqrt{2wy}[/tex]/ y
Step-by-step explanation:
The table shows the percent of each type of sandwich a cafe had available on Sunday. Sandwich Percent Ham 35 Roast Beef 25 Turkey 40 There are a total of 225 ham and turkey sandwiches. How many sandwiches did they have in all on Sunday? sandwiches Part B Fill in the blank question. If the cafe sells all the sandwiches at $4.50 each, how much money will the cafe earn?
Answers
The total number of sandwiches they have in all on Sunday is 375 sandwiches.
The amount earned by the cafe if each sandwich cost $4.50 is $1,687.5
What is the total number of sandwiches?Ham sandwich = 35%Roast beef sandwich = 25%Turkey sandwich = 40%Total ham and turkey sandwiches = 225Total number of sandwiches = xTotal percentage of ham and turkey sandwiches = 35% + 25%
= 60%
So,
225 = 60% of x
225 = 0.60 × x
225 = 0.60x
divide both sides by 0.60
x = 225/0.60
x = 375
Hence,
Total number of sandwiches = 375
If the cafe sells all the sandwiches at $4.50 each
The total money earned by the cafe = cost of each sandwich × total number of sandwiches
= $4.50 × 375
= $1,687.5
Therefore, the total sandwiches sold in the cafe on Sunday is 375 sandwiches.
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two packages of cookies cost $9.50. How much do seven packages cost?Try using a proportion to solve or finding unit rate?
Answers
Answer:
$33.25
Step-by-step explanation:
Two packages cost $9.50
Divide $9.50 by two get the cost for one package
$4.75 per package
$4.75 * 7 to get the cost for 7 packages
$33.25
HELP ME OUT OMG THANKS
Answers
Answer: r = 12
Step-by-step explanation:
11 - 23 = 12
YOUR SO WELCOME!!! :D
help meee please for a lot of points it gotta be to answer choices
Answers
Answer:
B and D
Step-by-step explanation: I got it right
Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1
Answers
Answer:
More than likely no full answer key however there might be answers for each individual question.