Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
The side lengths of a 45-45-90 triangle are in the ratio 1:1:√2. What is sin 45°?
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
To find the value of sin 45° we divide the opposite side length with hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational
[tex]\frac{1}{\sqrt{2} }[/tex] x [tex]\sqrt{2}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] gg
150 students in hostel have food enough for 45 days. After 10 days , 25 students leave the hostel. How much larger will the food last?
Step-by-step explanation:
150=45
150 -25=x
:150=45
125=x
cross multiply
150x/150=5625/150
x=38 days
ASAP !
Determine the value of x.
Question 1 options:
A: x = 2
B: x = 2.5
C: x = 1
D: x = 2.9
Answer:
x=2
Step-by-step explanation:
We can use the Pythagorean theorem since this makes a right triangle
a^2+b^2 = c^2
The radius is 1.5
1.5^2 + x^2 = (1+1.5)^2
1.5^2 +x^2 = 2.5^2
2.25+x^2=6.25
Subtract 2.25 from each side
x^2 = 4
Taking the square root of each side
x= 2
Answer:A
Step-by-step explanation:Took quiz
Answer ASAP please!
Answer:
e. is incorrect
sin (x)= f/e
Which of the following have a total of 8 possible outcomes? Check all that apply.
Answer:
Probably the first three answers
Step-by-step explanation:
The rest are
4) 3×5=15 (which is not 8)
5) 6×2=12 (≠8)
So it's just the first three
could someone help me ASAP, thanks !!
Answer:
I think this is the right answer but last two signs are incorrect
Hope this will help
Answer:
i dont know
Step-by-step explanation:
Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
Must click thanks and mark brainliest
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
9) Three times a number added to 12 gives -6. Find the number.
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
The temperature on a mountain peak was 7 degreesFahrenheit (F) at 6:00 p.m. By 8:00 p.m., thetemperature had dropped to 0F. If the temperaturecontinued to drop at about the same rate, which isthebestestimate of the temperature at 11:00 p.m
A -20 / B. -14 / C -10 / D -9 /
Given:
The temperature on a mountain peak was 7°F at 6:00 p.m.
By 8:00 p.m., the temperature had dropped to 0°F.
To find:
The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.
Solution:
Time between 6:00 p.m. to 8:00 p.m. is 2 hours.
Change in temperature in 2 hours is -7°F.
Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.
Time between 8:00 p.m. to 11:00 p.m. is 3 hours.
Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.
Now, the temperature at 11:00 p.m is:
[tex]0-\dfrac{21}{2}=-10.5[/tex]
Therefore, the temperature at 11:00 p.m. is -10.5°F.
Note: All options are incorrect.
Can anyone help plz?
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
Uma maneira de realizar a operação 9972 - 9 de forma rápida e correta é calculando 1 000 * 994, que é igual a 994 000. A igualdade que justifica esse fato está expressa em:
a) (a + b)² = a² + b² + 2ab
//
b) a² - b² = (a + b)(a - b)
//
c) a² - b² = (a - b)²
//
d) (a - b)² = a² - 2ab + b²
//
e) a² - b² = 1 000(a + b)
Answer:
a)
Step-by-step explanation:
Prove that 1/√2 is irrational
Answer:
Step-by-step explanation:
Let's assume that it is rational , so this number can be represented as[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]
[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex] -Since the denominator is not a natural number then the 1/√2 is respectively an irrational number
Part A
The poll report includes a table titled, “Americans Using Cash Now Versus Five Years Ago, by Age.” The age intervals are not equal. Why do you think the Gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?
Answer:
These are the intervals of the people who are at least adults and are mature enough to take the survey seriously and answer correctly
Step-by-step explanation:
Decide !!!!!!!!!!!!!!!!!!
Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but t. We have
(3r + 2s + t + 2u + 3v) - (3r + 2s + 3t + 2u + 3v) = 7 - 17
-2t = -10
t = 5
ILL GIVE POINTS!!
Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3
Answer:
no A
Step-by-step explanation:
sqrt13 is the ans
hope it helps
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
Can someone please help me with these 4 questions?
Question 16 of 30
Use the formula to help you answer the question below. Do not include units
in your answer.
Rate Time = Distance
How many hours will it take to complete a 76-km bike ride if you go 16 km per
hour the whole time?
Answer here
Answer:
3:15 hours
Step-by-step explanation:
i don't know I just took the test
Answer:
4.75 or 4 3/4
Step-by-step explanation:
rate = distance/time
Multiply both sides by time:
time * rate = distance
Divide both sides by rate:
time = distance/rate
We are given:
distance = 76 km
rate = 16 km/h
time = ?
time = distance/rate
time = 76 km/(16 km/h)
time = 4.75 h = 4 3/4 h
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form.
I'm sorry but there's not enough info
Step-by-step explanation:
Answer:
The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ
The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ
The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ
The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ
Write an algebraic expression for each verbal expression. 1.One third of a number is twelve less than the number itself 2. Two times the sum of a number and five is twenty
Answer:
1. ⅓*m = m - 12
2. 2(a + 5) = 20
Step-by-step explanation:
1. Let the number be represented by m
Let one-third of the number m, be ⅓*m
If there is 12 less of an amount of something, it implies 12 is to be subtracted from the initial amount.
Thus, 12 less than the number, m is (m - 12)
》⅓*m = m - 12
2. Let the number be represented by a
The sum of the number and 5 is (a+5)
》2(a+5) = 20
You go to the doctor and he injects you with 13 milligrams of radioactive dye. After 12 minutes, 4.75 milligrams of dye remain in you system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound will sound the alarm whenever more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived and the amount of dye decayse exponentially?
Answer:
Step-by-step explanation:
You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.
If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.
Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in
[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:
[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have
13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:
[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get
.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that
b = .9195228407 Yikes.
Now for the model, using the fact that a = 13 and b = .9195228407:
[tex]A=13(.9195228407)^t[/tex]
We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:
[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get
[tex].1538461538=.9195228407^t[/tex] Take the natural log of both sides, which allows us to bring the t out front:
ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get
t = 22.3 minutes
Joe travels at a constant speed of 80 miles per hour for ten hours. How many miles will he travel in ten
hours? How many kilometers will he travel in ten hours? (1 mi= 1.6 km)
Answer:
1287.48 km
Step-by-step explanation:
80 miles = 128.748 km
Distance = Speed x TimePutting in 'x' for distance
x = 80*10
x = 800 miles
or
x = 1287.48 km
Triangles and angles
Pls help
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
Geometry, please answer question ASAP
Answer:
I think the shape above has an order of 5 because it has a reflectional symmetry of 5.
I hope this helps
How many solutions are there to the equations: x+2y=-2 y=1/2x-5
Answer:
Step-by-step explanation:
x+2y=-2
2y=-x-2
y=-x/2-2/2
y=-x/2-------(1)
y=1/2x-5-----(2)
(1)=(2)
-x/2=1/2x-5
-x=x-10
-2x=-10
x=5
substitute in 2
y=(1/2)*5-5
=5/2-5
=-2.5
When the net is folded up, which sides will touch?
A. C and G
B. M and G
C. D and F
D. E and L
Answer:
The correct answer is
D) e and l
Can someone help me out with this
We know
[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]