Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
[tex]\frac{8}{5} * \frac{10}{3} * \frac{7}{4}[/tex]
[tex]\frac{80}{15} * \frac{7}{4}[/tex]
[tex]\frac{560}{60}[/tex]
[tex]\frac{140}{15}\\\\= \frac{28}{3}[/tex]
→ (8/5 × 10/3) × 7/4
→ 80/15 × 7/4
→ 560/60
→ 140/15
→ 28/3 cm³
I AM MARKING BRAINLEST IF YOU HELP ME PLEASE! Don't forget to show work :)
Answer:
x=±√7
Step-by-step explanation:
Hi there!
We're given the quadratic equation 6x²-42=0 and we need to find the roots of the equation (the values of x that make the equation true).
So we need to isolate x onto one side.
We can start by adding 42 to both sides
6x²=42
divide both sides by 6
x²=7
Now, take the square root of both sides (remember that when we take the square root, we get both POSITIVE and NEGATIVE answers).
x=√7 and x=-√7 (can be rewritten as x=±√7)
Hope this helps! :)
Answer:
Step-by-step explanation:
6x the ''2'' is supposed to be a exponent all the time -42=0
6x2 -42 + 42=0 +42 {add 42 to both sides}
6x2=42
6x2 42
------fraction brackets = ------- {divide by 6}
6 6
x2 =7
Someone tell me the answers for this question please
Answer:
a=2
b=10.5
c=4
d=17.5
Step-by-step explanation:
so 3.5 miles per hour and the columns are miles and then hours
so an equation can be 3.5 (mi/hr) * t (time) = distance
so for a): 3.5*t=7
t=2
b) 3.5*3=distance
distance is 10.5
c) 3.5*t=14
t=4
d) 3.5*5=d
d= 17.5
I need help please no links
Answer:
A and D
Step-by-step explanation:
Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.
Four rays come together at a single point. What is the value of the missing angle?
Answer:
? = 140
Step-by-step explanation:
The rays form a circle, which is 360 degrees
90+ 105+25+? = 360
Combine like terms
220+? = 360
? = 360-220
? = 140
What is the area of the triangle in centimeters
squared?
Answer:
A = 112cm²
Step-by-step explanation:
Area of a triangle = (bh) / 2
b = base length and h = height
The triangle shown has a given base length of 14cm and a given height of 16cm
Hence area = ( 16 * 14 ) / 2
16 * 14 = 224
224 / 2 = 112
A = 112cm²
the length of rope P is three times the length of rope Q. After 10cm of rope is cut from rope P and rope Q respectively, the length of rope P is four times the length of Q. Calculate the original length, in cm, of rope P before it is cut.
Answer:
150 cm
Step-by-step explanation:
The information in the question includes;
The length of rope P = 3 × The length of rope Q
The length of rope P - 10 cm = 4 × (The length of rope Q - 10 cm)
Let p represent the original length of rope P and let q represent the original length of rope Q, we have;
p = 3·q...(1)
p - 10 = 4·(q - 10)...(2)
Expanding equation (2) gives;
p - 10 = 4·q - 40
∴ p = 4·q - 40 + 10 = 4·q - 50
p = 4·q - 50...(3)
Equating the values of p in equation (1) and equation (3) gives;
p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;
3·q = 4·q - 50
50 = 4·q - 3·q = q
q = 50
p = 3·q
∴ p = 3 × 50 = 150
The original length of P before it was cut, p = 150 cm.
Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?
A) Jasmine because she ran 0.8 minute faster per mile.
B) Jasmine because she ran 0.3 minute faster per mile.
C) Caroline because she ran 0.7 minute faster per mile.
D) Caroline because she ran 0.2 minute faster per mile
Answer:
B
Step-by-step explanation:
For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.
Jasmine:
[tex]\frac{42.5}{5} =\\\\[/tex]
[tex]8.5[/tex] minutes per mile
Caroline:
[tex]\frac{26.4}{3} =\\[/tex]
[tex]8.8[/tex] minutes per mile
Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:
[tex]8.8-8.5=0.3[/tex]
B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.
I hope this helps! Let me know if you hae any questions :)
Find the measure of each angle indicated. Please help !!
Answer: 86°
Step-by-step explanation:
You add 28°+58° to get 86
a scalene triangle always equals (adds up to) 180°
So you minus 86° from 180 to get 94° for angle EGF
Then since line EGT is 180° the ? has to add together with 94° to find your answer
94°+?=180°
180°-94°= 86°
I NEED HELPPP is it 112 or 56 ?????
Solve for p in the literal equation 2p + 38 = 9.
p =
Answer:
p = -29/2
Step-by-step explanation:
2p + 38 = 9
Subtract 38 from each side
2p + 38-38 = 9-38
2p = -29
divide by 2
2p/2 = -29/2
p = -29/2
Answer:
p=-14.5
Step-by-step explanation:
2p + 38 = 9
-38 -38
2p = -29
[tex]\sqrt{2}[/tex] [tex]\sqrt{2}[/tex]
p = -14.5
PLZZZ HELPP.
Given the following matrices, what is the correct product matrix CD?
А. [21 10]
B. The matrix is undefined.
C. [29 53]
D. [53 29]
Answer:
D
Step-by-step explanation:
you will be multiplying Matrix C with Matrix D so, after using the rule for multiplication of matrices
[ 5x2 +9x4 + 7x1 5x(-4) + 9x0 + 7x7]
[ 10 + 36 + 7 -20 + 0 + 49 ]
[ 53 29]
hope this helps.
Brainly is an awesome app, but there is an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from tutors.
The product of matrices C and D is [53 29]. Therefore, option D is the correct answer.
What is the product of two matrix?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.
Given that, C=[5 9 7] and D= [tex]\left[\begin{array}{ccc}2&-4\\4&0\\1&7\end{array}\right][/tex]
Here, CD = [5×2+9×4+7×1 5×(-4)+9×0+7×7]
= [10+36+7 -20+49]
= [53 29]
Therefore, option D is the correct answer.
To learn more about the product of matrices visit:
brainly.com/question/24810141.
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pls answer by step by step
Answer:
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]
[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]
[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]
Simplify 3a²b³x 4a³b
Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
It is A because it is pretty similar to the data set in the given dot plot.
c. A 40-foot ladder reaches 38 feet up the side of a house. How far from the base of the
house is the foot of the ladder?
Answer: 12.48
Step-by-step explanation:
38x38+bxb=40x40
1444+b=1600
1600-1444=156
[tex]\sqrt156[/tex]=12.48
The base of the house is 12.48 foot far from the foot of the ladder.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
It is given that A 40-foot ladder reaches 38 feet up the side of a house.
We need to find that How far from the base of the house is the foot of the ladder.
Using Pythagoras theorem, we get;
[tex]38^2 + b^2 =40^2\\\\1444 + b^2 = 1600\\ \\b^2 = 1600 - 1444 \\\\b^2= 156\\\\b = 12.48[/tex]
Therefore, the base of the house is 12.48 foot far from the foot of the ladder.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
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please answer I need this answer fast please
D
its just a basic logarithmic law.
which linear function represents a slope of 1/4
Answer:
B
Step-by-step explanation:
The line goes down 1 and right 4.
Answer:
Option 2 represents a slope of 1/4.
Someone please help me ASAP
Answer:
(4, 0)
Step-by-step explanation:
D is clearly (1, 2).
so, for D' we have (1+3, 2-2) = (4, 0).
that's it. there is nothing more to it.
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
find the subsets of ( S,Q,L,R)
Answer:
{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}
What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. '14
C. 72
D. 7V2
2
Answer:
c
Step-by-step explanation:
the value of x can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
The triangle is an isosceles triangle
An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7
7² + 7²
49 + 49
= 98
√98 = 9.899 = 7√2
The expression
3(x+6)-x
can be simplified to the form
2x + a)
What is the value of a?
Answer:
a = 18
Step-by-step explanation:
3(x+6)-x = 2x + a
Distribute
3x +18 -x = 2x+a
2x +18 = 2x+a
Subtract 2x from each side
18 = a
Simon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds
Answer:
ok
Step-by-step explanation:
whats the question?
Please help ASAP thank you
does anyone know the answer?
Answer:
multiply the bottom equation by 6
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Answer:
Length = 6cm
Step-by-step explanation:
You would get 6cm as the length, because 6 ÷ 3 = 2, that is your width. So in the same way, you would divide 18 by 3 and get 6, thus the length of the second rectangle is 6 centimeters
Hope it helps :D
6 cm po tama to mag quandary pi akyu
ABCF AND EFGH ARE CONGRUENT PARALLELGRAMS. AD = 10cm, MC = 8cm, and the area of ABCD is 112cm^2. What is the number of centimeters in EN? Express your answer as a decimal to the nearest tenth
The image to the question is attached below.
Answer: The value of EN is 11.2 cm
Step-by-step explanation:
We are given:
The parallelograms ABCD and EFGH are congruent, which simply means
AB = EF
BC = FG
CD = GH and
AD = EH
Area of ABCD = area of EFGH
Also, opposite sides of a parallelogram are equal. Thus,
AB = EF = CD = GH
BC = FG = AD = EH
It is given:
[tex]AD=10cm=FG\\\\\text{Area of ABCD}=112cm^2=\text{Area of EFGH}[/tex]
To calculate the area of a parallelogram, we use the equation:
[tex]Area=b\times h[/tex]
where, for parallelogram EFGH
b = base = FG = 10 cm
h = height = EN = ?
Area = [tex]112cm^2[/tex]
Plugging values in above equation, we get:
[tex]112cm^2=10cm\times EN\\\\EN=\frac{112cm^2}{10cm}=11.2cm[/tex]
Hence, the value of EN is 11.2 cm
The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £150 a week and pays £42 in tax.
Answer:
m = w - t
£108
Step-by-step explanation:
m = Money Billy has to spend per week :
m = wage, w - tax, t
Hence,
m = w - t
Given;
Wage = £150 ; tax = £42
m = £150 - £42
m = £108
A scientist is studying the growth of anew species of bacteria. Looking back on his meticulous records, the scientist sees that his starting population was 50 bacteria. Five hours later, he measured 550 bacteria. What is the population of the bacteria after 10 hours, after 20 hours?
Answer:
In 10 hours, the population is 6050 bacteria. In 20 hours, the population is 732050 bacteria.
Step-by-step explanation:
Bacterial populations can be assumed to grow exponentially. In 5 hours, since the population will have multiplied by 11, in 10 hours it will have multiplied by 121 (11^2) and by 14641 (11^4).
50 * 11 * 11 = 6050
50 * 11 * 11 * 11 * 11 = 732050
Answer:
Step-by-step explanation:
550 = 50 [tex]x^{5}[/tex]
11 = [tex]x^{5}[/tex]
ln(11) = 5 ln(x)
x = [tex]e^{ln(11)/5}[/tex]
x = 1.615
10 hours ....
A= 50 ([tex]1.615^{10}[/tex] )
A= 50 ([tex]1.615^{10}[/tex] )
A=6050
20 hours ....
A= 50 ([tex]1.615^{20}[/tex] )
A= 50 ([tex]1.615^{20}[/tex] )
A=732,050
Jen wants to finish half of her book. She is on page 24. The book has 68 pages. The equation shown represents this situation. 24+□=68÷2 Which is the missing number that represents how many more pages Jen must read to finish half of her book?
68Answer:
10
Step-by-step explanation:
68/2=34
24+10=34