Answer:
[tex]5\frac{3}{4}[/tex]
----------------------------------------------------------------------------------------------------------
Since we have to convert mixed numbers to fractions, [tex]2\frac{7}{8}[/tex] becomes [tex]\frac{23}{8}[/tex]
And for whole number, add a 1 as the denominator.
[tex]\frac{2}{1}[/tex]
Now, the equation becomes...
[tex]\frac{2~*~23}{1~*~8}[/tex]
[tex]2 * 23 = 46[/tex]
[tex]1 * 8 = 8[/tex]
Convert these two numbers to a fraction.
[tex]46~and~8~-- > ~\frac{46}{8}[/tex]
Simplify 46 over 8 and make it a mixed number.
[tex]\frac{46}{8} -- > 5\frac{3}{4}[/tex]
why is the denominator 4? we had to simplify 8 using its GCF along with 46
the GCF is 2, so simplify using 2. to simplify, divide the number by its GCF.
[tex]\frac{46}{2} = 23\\\\\frac{8}{2} = 4[/tex]
now you have [tex]\frac{23}{4}[/tex]
and that, in mixed number, translates to [tex]5\frac{3}{4}[/tex]
________________________________________________________
Questions?Ask in comments.
An evangelist traveled 748 miles in 12 hours
to get to his next meeting. What was his average rate of speed? (Write answer as a mixed number.)
pls and thank you :)
Answer:
23
Step-by-step explanation:
this is because it is 23
Answer:
speed=distance ÷time
speed=748÷12
speed=6.333
I hope this I better than the blurry photo I took '-'
Answer:The fourth option
decreases by 1 minute every 2 hours trained
Step-by-step explanation:
If y is how much it decreses its negative, and if the slope is -1/2 then they decrease by one for every 2 hours since the two represents x.
Do these for me pls
Answer:
1) C or B
2) J
3) C
4) J
Step-by-step explanation:
1) I am not sure but I think you start with the x so that is -5 then y which is 7 so y= 5/7x - 5 or y= 7/5x - 5
2) The graph always starts at the origin (0.0) that where the line should be put
3) 39 in + 78 in = 117 in
4)
2/3.5 = 0.57
4/7 = 0.57
6/9 = 0.57
7/12 = 0.57
PLEASE HELP ME WITH THIS!!!
Answer:
a) 70°
Step-by-step explanation:
∠3 = 110
∠5 = ∠1
∠1 = 180 - ∠3
∠1 = 180 - 110
∠ 1 = 70
∠5 = ∠1 (corresponding angles postulate)
∠5 = 70
A golfer hits a ball from an elevated tee 75 feet high at an initial velocity of 115 ft/sec at angle of elevation of 57⁰ a. Write a parametric equation that describes the position of the ball at time t.
x=115tcos57
y=115tsin57-16t^2
Please help! i’m horrible at math and i don’t want to fail!!! 6-1: MathXL for School: Practice & Problem Solving
Due 04/27/
5.1.PS-13
Question Help
A bag contains 9 white marbles and 54 red marbles. If a representative sample contains 2 white
marbles, then how many red marbles would you expect it to contain? Explain.
Because the ratio of white marbles to red marbles is in the population, the expected number of
red marbles is times the number of white marbles in the representative sample. There should be
red marbles.
Answer:
12 red marbles
Step-by-step explanation:
9/4.5 to get 2 white marbles
54/4.5 to get 12 white marbles
A 400 pound metal star is hanging on two cables which are attached to the ceiling. The left hand cable makes a 18° angle with the ceiling while the right hand cable makes a 72° angle with the ceiling. What is the tension on each of the cables? (Round your answers to three decimal places.)
Answer:
left: 123.607 lbright: 380.423 lbStep-by-step explanation:
By balancing horizontal and vertical forces, we find the cable tensions to be ...
Ta = W·sin(b)/sin(a+b) . . . . . where W is the weight being held
Tb = W·sin(a)/sin(a+b)
Where Ta is the tension in the cable that makes an angle of 'a' with respect to the vertical, and Tb is the tension in the cable that makes an angle of 'b' with respect to the vertical.
__
The given angles are with respect to the ceiling, so the angles with respect to the vertical will be their compmements.
left cable (a)angle 'a' is 90° -18° = 72°
angle 'b' is 90° -72° = 18°
a+b = 72° +18° = 90°
Ta = (400 lb)sin(18°)/sin(90°) = 123.607 lb
right cable (b)Tb = (400 lb)sin(72°)/sin(90°) = 380.423 lb
_____
Additional comment
The nice expressions for cable tension come from the balance of forces.
vertical: Ta·cos(a) +Tb·cos(b) = W
horizontal: Ta·sin(a) = Tb·sin(b)
Solving the horizontal equation for Ta, we get ...
Ta = Tb·sin(b)/sin(a)
Substituting into the vertical equaiton gives ...
Tb·sin(b)cos(a)/sin(a) +Tb·cos(b) = W
Multiplying by sin(a) gives ...
Tb(sin(b)cos(a) +sin(a)cos(b)) = W·sin(a)
Using the trig identity for the sine of the sum of angles, we can rewrite this in the form shown above:
Tb = W·sin(a)/sin(a+b)
The problem is symmetrical with respect to 'a' and 'b', so the other tension is found by interchanging 'a' and 'b' in the equation:
Ta = W·sin(b)/sin(a+b)
A number is chosen at random from 1 to 50. Find the probability of selecting numbers with a last digit of 9.
Answer:
10%
Step-by-step explanation: There are 5 numbers between 5 and 50 that end in 9. 5 is 10 percent of 50. Pls give brainliest.
Describe the pattern
Answer:
negative linear
Step-by-step explanation:
as you see the correlation is going negative in a linear line.
A skateboard is marked 20% off. If the board originally cost $45.00, what is the sale price?
Answer:
$36.00
Step-by-step explanation:
original cost= $45.00
discount= 20%
to find:the sale price of the skateboard.
solution:[tex]original \: price \times \frac{discount \%}{100} [/tex]
[tex] = 45.00 \times \frac{20}{100} [/tex]
[tex] = 45 \times 0.2[/tex]
[tex] = 9.00[/tex]
[tex]45 - 9[/tex]
[tex] = 36.00[/tex]
therefore, the sale price of the skateboard is $36.00
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
---------------HeyA AtorO ----------------------
[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
We're provided a parallelogram ABCD. You must have known that the opposite angles of parallelogram are always equal.∠C = ∠A = 123° & ∠C = ∠D = x ° { suppose }
Set up an equation & solve for x :[tex] \tt{ \star \: {123 \degree + 123 \degree + x + x = 360 \degree}}[/tex]
[tex] \longrightarrow \tt \: 246 + 2x = 360[/tex]
[tex] \longrightarrow \tt \: 2x = 360 - 246[/tex]
[tex] \longrightarrow \tt 2x = 114[/tex]
[tex] \longrightarrow \tt \: x = \boxed{ \tt{57}}[/tex]
Hence , Our final answer is 57° .----------- HappY LearninG <3 ------------------
Part A)
Please solve this system of equations using the elimination method ONLY.
3x - 2t = 4
2x - 5 = -t
Part B)
Which number is the most convenient to multiply by when solving this linear system of equations by elimination?
A) -3
B) -1
C) 1
D) 2
Thank you in advance.
Answer:
D) 2
Step-by-step explanation:
When solving a system of equations using elimination, it often works well to start with them in a form that has all of the variables on the same side of the equal sign. Putting the second equation into standard form will accomplish that:
3x -2t = 42x +t = 5To eliminate one of the variables from the system, the equations are multiplied by numbers and combined (added or subtracted) so that the coefficient of one of the varibles becomes 0.
__
Choosing a multiplierThe coefficients of x are 3 and 2. If we are to eliminate x, we either need to multiply one equation by a rational number (2/3 or 3/2), or we need to multiply the two equations by two different numbers (2, 3).
The coefficients of y are -2 and 1. If we are to eliminate y, it is convenient to multiply the second equation by 2. This is probably the most convenient choice.
__
SolutionMultiplying the second equation by 2 and adding it to the first equation, we have ...
(3x -2t) +2(2x +t) = (4) +2(5)
7x = 14 . . . . . simplify; the y-variable is eliminated
x = 2 . . . . . . divide by 7
Using the original second equation, we have ...
2(2) -5 = -t = -1
t = 1
So, the solution is (x, t) = (2, 1).
What is the surface area of this triangular pyramid? 3 m 3 m 3 m 3 m 2.6 m
[tex]\stackrel{\textit{3 standing triangles}}{3\left[\cfrac{1}{2}(\stackrel{b}{3})(\stackrel{h}{3}) \right]}~~ + ~~\stackrel{\textit{triangular base}}{\cfrac{1}{2}(3)(2.6)}\implies 13.5~~ + ~~3.9\implies 23.4~m^2[/tex]
For what value of x does 32X = 93x-4?
=
1
2
3
4
Answer:
B. 2
Step-by-step explanation:
So when we are dealing with exponents identify the following terms
Base: the number being multiplied by itself
Exponent: the number of times you multiply the base number by itself
So in this problem we would have to find what x is in order to find our exponents, you can do this by substiting each number for x and solving as is
[tex]3^4=3*3*3*3=81[/tex]
[tex]9^2=9*9=81[/tex]
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer: x = -6
Step-by-step explanation:
The line of x = -6 will be parallel to the y-axis because it is a vertical line, and the y-axis runs vertically.
I have graphed the line of x = -6 so you can see it and compare it with the y-axis. See attached.
Can yall help me please
Answer:
Im not good at math just breath and dont psnik
Step-by-step explanation:
Given the diagram below, if CD = x + 4,
DE = 2x + 7, and CE = 7x-25, what is the value
of x?
Select the correct answer.
Which statement is true about this equation?
A.
It represents neither a relation nor a function.
B.
It represents a function only.
C.
It represents both a relation and a function.
D.
It represents a relation only.
Answer:
Once the equation is given, the question can be answered, with no equation, no one can find the answer
Step-by-step explanation: I will edit my answer when the equation is given
Answer: a
Step-by-step explanation:
Mr Ahmad bought 2 fans and 3 table lamps for $540. Each fan cost 3 times as much as a table lamp. (a) Find the cost of each table lamp. (b) Find the cost of each fan.
Answer:
(a) $60
(b) $180
Step-by-step explanation:
Let the price of 1 table lamp be t.
Then the price of a fan is 3t.
2(3t) + 3t = 540
6t + 3t = 540
9t = 540
t = 60
A table lamp costs $60.
3($60) = $180
A fan costs $180.
13 yd
10 yd
8 yd
What is the area in square yards
Answer:520 yd
Step-by-step explanation:
multiply 13 x 10 x 8 then divide by 2
I think
What is the area, in square units, of a rectangle XWYZ, with vertices X(0, 0) W(0,7) Y (3,7) Z(3,0)?
Answer:
21
Step-by-step explanation:
A=LxW=7x3=21 The length was 7 and the width was 3.
QUICK HELP PLEASEEEE SOMEBODY PLEASE HELP
Answer:
Infinite answers is the correct answer
Step-by-step explanation:
Pls help me
Pls show your answer pls and thank you
Answer: Option C
Step-by-step explanation:
se the number line to answer the question.
A number line has end points marked at 5 tenths and 6 tenths with 9 tick marks between. Point A is labeled on the third mark after 5 tenths.
Select all of the following that give the value of point A.
A.
53
100
B.
5
3
100
C.
53
10
D.
0.53
E.
5.3
Answer:
[tex]\sf 0.53\quad and \quad \dfrac{53}{100}[/tex]
Step-by-step explanation:
Convert the end points to decimals:
[tex]\textsf{5 tenths}=\dfrac{5}{10}=5 \div 10=0.5[/tex]
[tex]\textsf{6 tenths}=\dfrac{6}{10}=6\div 10=0.6[/tex]
If the number line has 9 tick marks between the endpoints, there will be 10 equal spaces (see attachment), so the tick marks denote hundredths.
The difference between 0.6 and 0.5 = 0.1
Divide this by 10: 0.1 ÷ 10 = 0.01
Therefore, each tick mark on the number line denotes hundredths and is 0.01 greater than the previous tick mark.
If Point A is labeled on the third mark after 5 tenths then:
A = 0.5 + 0.01 + 0.01 + 0.01 = 0.53
0.53 as a fraction:
[tex]\implies 0.53 = \dfrac{0.53}{1}=\dfrac{0.53 \times 100}{1 \times 100}=\dfrac{53}{100}[/tex]
Therefore, point A is:
[tex]\sf 0.53\quad and \quad \dfrac{53}{100}[/tex]
Answer: i need points
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs "combining dot above" and "combining dot below" which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese
Need Help ASAP! no links please
Answer:
c
Step-by-step explanation:
Each of the five spaces on the spinner are equal so the theoretical probability for one space (Q) is 1/5. For the experimental probability, they spun it 15 times and 4 times it landed on Q so 4/15 times.
Bowling alley charges a fee for every game bowled plus initial fee for shoe rental.
Answer:
Whats the numbers can u give me them?
Step-by-step explanation:
Is 2.89 rational or irrational
Answer:
Rational
Step-by-step explanation:
Rational numbers:
Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.
Irrational numbers:
These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0.
[tex]\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \ \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}[/tex]
Thus, 2.89 is a rational number.
The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use 3.14 round to nearest whole cubic unit
Answer:
2,355 cubic units
Step-by-step explanation:
We will see that the volume of the sphere is 2,355 cubic units.
How to get the volume of a sphere?
We know that for a sphere of radius R, the volume is given by:
Here we know that:
R = 10 units
pi = 3.14
Replacing that in the volume equation we get:
So the volume of the sphere is 2,355 cubic units.
I NEED HELP ASAP! PLEASE LET ME KNOW WHICH ONE
Step-by-step explanation:
3 parts in figure
1 cube and 2 hemispheres
surface area of cube = 6a^2= 6*144= 864 mm^2
surface area of hemisphere = 3*π*r^2 =108π
2 hemispheres = 214π mm^2
total surfaCe area = 1542 mm^2