Answer:
7/8 simplified to lowest terms is 7/8.
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 8 is 1
Divide both the numerator and denominator by the GCD
7 ÷ 1
8 ÷ 1
Reduced fraction:
7
8
Therefore, 7/8 simplified to lowest terms is 7/8.
Triangles â–łABC and â–łDFG are similar. The lengths of the two corresponding sides are 1. 4m , and 56 cm. What is the ratio of the perimeters of these triangles ?.
Answer:
5 : 2
Step-by-step explanation:
The ratio of perimeters of similar triangles is the same as the ratio of any pair of corresponding sides. That ratio is given as ...
1.4 m : 56 cm = 140 cm : 56 cm = 5 : 2
The ratio of the perimeters of the triangles is 5 : 2.
_____
As a unit ratio, it is 2.5 : 1, or 2.5.
86,400 seconds into day.please
[tex]\underline\mathtt\colorbox{gold}{1 day}[/tex]
Step-by-step explanation:
1440 minutes, 24 hours or 1 day
Its easy to check - - - Divide 86400 by 60(to make into minutes) =1440 minFurther. Divide 1440 by 60 (to make into hours) =24 hrsNow who doesn't know that 24 hours is 1 day?FACTORIZE :-
3x³y( x-3y ) - 7x²y² ( x-3y )
Answer:
x²y(3x - 7)(x - 3y)
Hope you could get an idea from here.
Doubt clarification - use comment section.
If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.
(Hint: 58 is what percentage of 100?)
Answer:
58 out of 100 is
58/100
as a decmil that is
0.58
Hope That Helps!!!
Without doing any calculations, is positive or negative?
Explain your reasoning.
Answer:
what is positive or negative???
Does the point (4, 8) satisfy the equation y = 2x?
Answer:
Yes
Step-by-step explanation:
You can answer this question by putting in the x-value [the 4 in (4, 8)] in for the x variable to see if you get the y-value [the 8 in (4, 8)] as the solution.
y=2(4)
y=8
Since 8 was the answer then yes, (4, 8) satisfies the equation y = 2x.
What is -0.4 times -5/6?
Answer:
0.3
Step-by-step explanation:
hopes this helps
Make x the subject of the formula x/a 2 + 3 b = 2 c
Answer: x=-3ab/2+ac
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
What is the value of y?
Answer : i believe 100 X is 13 Z is 12
Step-by-step explanation:
sorry if im wrong
The diagram shows a cube with sides of length 8 meters. A smaller cube with
sides of length 3.5 meters has been out out of the larger cube.
a) Find the volume, in cubic centimeters of the large aube before the
small cube is out out. Write your answer in scientific notation
Find the volume of the solid after the small cube is removed. Write your
answer in scientific notation. Round the coefficient to the nearest tenth
Answer:
a) 512 cm^3
b) 469.125 cm^3
Step-by-step explanation:
8*8*8 = 512 cm^3
or
8^3 = 512 cm^3
3.5^3 = 42.875
512 - 42.875 = 469.125 cm^3
You can round the second answer down
X^2-y^2=48 and x-y=2. The solution to the given system of equations is (x,y). What is the value of x + y?
Answer:
24
Step-by-step explanation:
We have a system of equations, so we can start with the second equation:
[tex]x-y=2[/tex]
And move y to the other side to isolate x:
[tex]x=2+y[/tex]
Now we can replace x into the first equation:
[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]
Notice that we can cancel out the y squared terms:
[tex]4+4y=48\\ 4y=44\\ y=11[/tex]
Now we just need to find x by replacing y into the second equation:
[tex]x-11=2\\ x=13[/tex]
And finally, add them:
[tex]x+y=11+13\\ x+y=24[/tex]
Hope this helps.
Answer:
x= 13
y=11
x^2 - y^2 = 48 and x - y = 2
x = 2 + y
(2 + y)^2 - y^2 = 48
(2 + y) (2 + y) - y^2 = 4
(4 + 2y +2y + y^2) -y^2 = 48
4 + 4y + y^2 - y^2 = 48
4 + 4y = 48
4y = 48 -4
4y = 44
y= 44/4
y= 11
Plug y back into the original equation:
x^2 - y^2 = 48
x^2 - 11^2 = 48
x^2 - 121 = 48
x^2 = 121 + 48
x^2 = 169
The square root of 169 is 13
So x= 13
x + y
13 + 11 = 24
PLEASE help
xº
520
38°
220°
X = degrees
Step-by-step explanation:
by complete angle
x+38+52+220=360
x+310=360
x=360-310
x=50
Write an integer for each situation
1. A deposit of $40
2. A loss of 20 pounds
Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5
Answer:
the answer is this hope it helps im not sure if its all right good luck.
Step-by-step explanation:
A. 65-2x=6x+9
B. 9-x=14x
C. 3+4x=5x-4
d is wrong
The first and third equations have {7} as their solution set.
What is an equation?It is a mathematical statement that is made up of two expressions connected by an equal sign.
The first equation is
65−2x=6x+9
Rearranging the above equation gives
8x = 65-9 = 56
i.e x = 7
Consider the second equation,
9−x=14x
i.e x = 9 / 15 = 0.6
The third equation is:
3+4x = 5x−4
i.e x = 7
The last equation is
x^2+1 = 8x−5
Its solution is not equal to 7.
As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.
To learn more about equation, use the link given below:
https://brainly.com/question/29538993
#SPJ2
the sum of 2 integers is 61 and their difference is 29.
Answer:
16 and 45
Step-by-step explanation:
Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.
Need helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
y=2x+10
Step-by-step explanation:
the picture has the answer
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
Learn more about Equation here:
https://brainly.com/question/29316263
#SPJ2
Katherine Johnson is best known for her work on ________.
Answer:
Pretty sure she was best known for calculating flight paths of spacecraft.
which value of the variable m satisfies the equation 20 = -2(4m - 5)
Answer:
m = - 1.25
Step-by-step explanation:
20 = - 2(4m - 5) ← divide both sides by - 2
- 10 = 4m - 5 ( add 5 to both sides )
- 5 = 4m ( divide both sides by 4 )
- [tex]\frac{5}{4}[/tex] = m , that is
m = - 1.25
When solving an equation, Gabrielle's first step is shown below. Which property
justifies Gabrielle's first step?
Original Equation:
3(x + -3) = -1
First Step:
3x + -9= -1
1. associative property of multiplication
2. division property of equality
distributive property of multiplication over addition
3. subtraction property of equality
Answer:
i think 2. division property of equality
distributive property of multiplication over addition
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?
Answer:
According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.
Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.
Thus, the measure of angle C is 95 degrees.
Solve by whatever method you would prefer. (Leave answers as improper fractions) 3x+2y=-10 2x-5y=3 (Show your work (Brainliest)
Answer:
y = -29/19 and x = -44/19
Step-by-step explanation:
3x + 2y = -10 multiply by -2 ⇔ -6x - 4y = 20
2x - 5y = 3 multiply by 3 ⇔ 6x - 15y = 9
Add the two equation -19y = 29
y = -29/19
Use equation one and solve for x
3x + 2(-29/19) = -10
3x - 58/19 = -10
3x = -10 + 58/19
3x = -190/19 + 58/19
3x = (-190 + 58)/19
3x = -132/19
x = - 132/ 19 ÷3 [tex]\frac{-132}{19} (\frac{1}{3} ) = \frac{-44}{19}[/tex]
x = -44/19
How onto add, subtract, multiply, and divide decimals
Answer:
Hope this helps. x
which quadratic inequality does the graph below represent?
y> or equal to x^2-3.
y< or equal to x^2+3.
y< or equal to x^2-3.
y> or equal to x^2+3
Answer:
y< or equal to x^2-3.
I hope it helps.
what is the sum of the rational expressions below 2x+5/9x+4x/x-3
Answer:
23x + 9
———————
9
FRUIT Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.
Answer:
Step-by-step explanation:
8 lbs of apples on the x-intercept
10lbs of peaches on y-intercept
Explanation of approximation, decimal place, significant figure
Answer:
im not an expert in math but i'll do my best:
1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.
2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.
3. significant figure is kind of hard to explain, so i'll jump into the example straight away.
5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.
if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)
lets take a trickier example, 0.064591
in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.
however, 0 can be a significant figure if it's after another number. for instance 0.90672
the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.
sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!
Lincoln middle school had a canned food drive. The 6th grader brought in 5.75
So the Lincoln middle school will have +5.75 pounds or ounces of ffod
Can someone answer number 9 for and tell me if the others are correct i have a 64% in geometry trying to raise grade up to alteast 70%
Answer:
5, 6, 7, 8: correct
9: the Hi.nge theorem does not apply
Step-by-step explanation:
The Hi.nge theorem says that the side opposite the angle between two pairs of congruent sides is longer if the angle is larger. This theorem is applicable to problems 5-8, and your application is correct.
__
9) The Hi.nge theorem does not apply. The marked angles are not between the congruent sides. There is no necessary relation between the marked angles and the angles that are between the congruent sides, so no conclusion can be drawn regarding the relative lengths of AB and CD.
How many 1/2 -yard lengths are in 1 yard?
If asking how many 1/2 a yard(s) are in a whole yard your answer is 2, because 1/2 + 1/2 = 1