Answer:
The length of rectangle is 78 and width is 46
Step-by-step explanation:
Let l be the length of rectangle and w be the width of rectangle
Then according to given statement
"The length and width of a rectangle added together is 124"
[tex]l+w = 124[/tex] Eqn 1
And
[tex]l-w = 32[/tex] Eqn 2
The equation form a system of linear equation in two variables. We can use different methods to solve he system.
We will use the elimination method
Adding equation 1 and equation 2
[tex]l+w+l-w = 124+32\\2l = 156\\\frac{2l}{2} = \frac{156}{2}\\l = 78[/tex]
Putting l = 78 in equation 1
[tex]78+w = 124\\w = 124-78\\w = 46[/tex]
Hence,
The length of rectangle is 78 and width is 46
Use the equation below to find y, if m= 8 and x=6.
y=mx
y=?
Answer:
The value of y is 48.
Step-by-step explanation:
You have to substitute the values into the equation :
[tex]y = mx[/tex]
[tex]let \: m = 8,x = 6[/tex]
[tex]y = 8 \times 6[/tex]
[tex]y = 48[/tex]
need the answer asap
In a right-angled triangle
smallest angle : largest angle = 3:5
Work out the three angles of the triangle.
Your final line should be written like this. The angles are ... , ... , ...
Answer: [tex]36^{\circ}, 54^{\circ}, 90^{\circ}[/tex]
Step-by-step explanation:
Given
Triangle is right-angled
The ratio of smallest and largest angle is 3:5
let the angles be 3x and 5x
In a right-angled triangle, the largest angle is [tex]90^{\circ}[/tex]
[tex]\therefore5x=90^{\circ}[/tex]
[tex]x=\frac{90^{\circ}}{5}=18^{\circ}[/tex]
3x is the smallest angle. Its complementary angle is [tex]90^{\circ}-3x=90^{\circ}-3\times18^{\circ}[/tex]
Complementary angle is [tex]36^{\circ}[/tex]
[tex]3x=54^{\circ}[/tex]
[tex]5x=5\times18^{\circ}=90^{\circ}[/tex]
PLEASE HELP 25 POINTS!!!!! I NEED HELP ASAP
Answer:
25
Step-by-step explanation:
square has 4 sides and 100 divided by 4 is 25
17) -15x=0
Help me math is next period!!
Answer:
x = 0
Step-by-step explanation:
-15x = 0
Divide both sides by -15
x = 0
x =0
In 2 ½ hours, Joaquin can bake 4 dozen cookies. What is his unit rate in dozen cookies per hour?
b. he has 5 hours before the bake sale starts. how many dozen cookies can he bake?
Answer:
1.6 dozens per hour
b. 8 dozens
Step-by-step explanation:
2.5 = 4
4/2.5 = 1.6
1.6 dozens per hour
1.6 x 5 = 8
8 dozens
For what value of x is the equation 2x+4/3
=
-8 true?
Answer:
x = - [tex]\frac{14}{3}[/tex]
Step-by-step explanation:
Given
2x + [tex]\frac{4}{3}[/tex] = - 8
Multiply through by 3 to clear the fraction
6x + 4 = - 24 ( subtract 4 from both sides )
6x = - 28 ( divide both sides by 6 )
x = [tex]\frac{-28}{6}[/tex] = - [tex]\frac{14}{3}[/tex]
HELP I NEED HELP ASAP
Answer: The answer is C
Step-by-step explanation:
The three sides of a triangle are in the ratio 2:4:5. If the perimeter is 22 m, find the
length of the shortest side.
Answer:
what are primary numbers
Answer:
the length of the shortest side would be 4
Step-by-step explanation:
2:4:5
2 + 4 + 5 = 11
4 + 8 + 10 = 22
4:8:10
Need help plz answer
PLZ HELP WITH MATH ASAP
Answer:
C, because the segment in front of it is the smallest
Answer:
yes
Step-by-step explanation:
Solve the inequality:
14.3 > 5(z- 2) - 2.1
Answer:
z < 5.28
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
14.3 > 5(z - 2) - 2.1
Step 2: Solve for z
Distribute 5: 14.3 > 5z - 10 - 2.1Subtract: 14.3 > 5z - 12.1Add 12.1 on both sides: 26.4 > 5zDivide 5 on both sides: 5.28 > zRewrite: z < 5.28Here we see that any value z smaller than 5.28 would work as a solution to the inequality.
Ben currently has $70 in his trip fund. He saves $27 for weekly expenses. Which equation can be used to determine the amount of the money (y), in dollars, that Ben has in his trip fund at the end of the x weeks?
Answer:
The equation y = 70-27x can be used to determine the amount of money.
Step-by-step explanation:
Given that:
Amount Ben has in his trip fund = $70
Amount save by Ben each week = $27
Number of weeks = x
Amount of money after x weeks = y
According to given statement;
y = 70-27x
Hence,
The equation y = 70-27x can be used to determine the amount of money.
HELP QUICK PLZzzzzzzzzzzzzzzzzzzzz
Answer:
15a - 10
Step-by-step explanation:
-5(-3a + 2)
-5 · -3a = 15a
-5 · 2 = -10
15a - 10
2x squared times x squared
Number 8 I need help plz
The length of a picture frame is 7 inches more than the width. For what
values of x is the perimeter of the picture frame greater than 158 inches?
Answer:
x > 36
Step-by-step explanation:
158 < 2x + 2(x+7)
158 < 2x + 2x + 14
144 <4x
x > 36
Answer:
The answer is x>34
Step-by-step explanation:
I tried there way it came out wrong.
20 The table shows the linear relationship between the balance of a student's
savings account and the number of weeks he has been saving.
Savings Account
Week
0
1
3
6
8
13
Balance
(dollars)
32
39
53
74
88
123
Based on the table, what was the rate of change of the balance of the
student's savings account in dollars and cents per week?
Record your answer and fill in the bubbles on your answer document.
Answer:
7 dollars
Step-by-step explanation:
Asha and Atulya has bookshelves of the same size. Asha's shelf is 2/3 full of books and Atulya's shelf is 2/5 full. Whose bookshelf is more full? By what fraction?
Answer: See explanation
Step-by-step explanation:
From the question, the following information can be gotten:
Asha's shelf is 2/3 full of books
Atulya's shelf is 2/5 full.
a. Whose bookshelf is more full?
Asha's shelf.
We can convert to Percentage to get this:
Asha = 2/3 × 100 = 66.7%
Atulya = 2/5 × 100 = 40%
By what fraction?
= 2/3 - 2/5
= 10/15 - 6/15
= 4/15
Can someone help me please
Answer:
4¹
Step-by-step explanation:
if you divide the powers then you get 1.16 but here it is simplified
Order the following numbers from least to greatest.
Put the lowest number on the left.
18 , -53 , -24 , 0
Answer:
-53, -24, 0, 18
Step-by-step explanation:
Hope this helps :)
Zane had 7 green marbles. Then he bought 7 bags of blue marbles. There were 7 marbles in
each bag. How many marbles does Zane have now?
Answer:
56 marbles
Step-by-step explanation:
7*7=49
49+7= 56
Answer:
56
Step-by-step explanation:
the 7 she had multiplied by the 7 bags and 7 marbles in the bag
seven multiplied by 7 plus 7
what is the inequality of j - 3 >2
Answer:
J>5
Step-by-step explanation:
I hope this helps let me know if it does
You have fifteen blankets that each take up 557 cubic inches of space. How many blankets could you pack into a 14-inch moving box?
a. 10 blankets
b. 4 blankets
c. 3 blankets
d. 13 blankets
Answer:
b i think please tell me if im wroung
Answer is 4.
Volume of cube:
The formula of volume of a cube of length l is l x l x l.
(Here), Given
volume of box = (14 x 14 x 14) = 2744 cubic inches.
1 blanket take 557cubic inches
Now, Number of blankets packed in a 14 inch box = 2744 / 557
=> 4.9
i.e., 4 complete blankets can pack.
Learn more about volume of cube here:
https://brainly.com/question/19373839?referrer=searchResults
#SPJ2
What is the equation of the line that has a slope of 1/4 and goes through the point (8, -3)?
y= 1/4x -5
y= 1/4x +1
y= 1/4x =11
y= 1/4x +5
HELP PLEASE 30 points
Part 1 out of 2
To repair a large truck or bus, a mechanic might use a parallelogram lift. The figure shows a side view of
the lift. FGKL, GHJK, and FHJL are parallelograms.
G
2
T: +
3
5
6
8
17
K
3
Which angles are congruent to 21?
<
,2
2
are congruent to 21.
Check
Next
Answer: <3, <6, <8
Step-by-step explanation:
Trust me
A green rope is 60.5 m long. Each meter of the rope has a mass of
0.052 kg. What is the total mass of the green rope? Show your work.
Answer:
Answer:
4
Step-by-step explanation:
If you read it carefully then you'll get it :)
The total mass of the green rope will be the multiplication of length by per meter mass thus it will be 3.146kg.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
As per the given,
Length of rope = 60.5 m
Mass per meter = 0.052 kg
Total mass = 60.5 x 0.052 = 3.146kg
Hence "The total mass of the green rope will be the multiplication of length by per meter mass thus it will be 3.146kg".
For more information about multiplication,
brainly.com/question/14059007
#SPJ2
Solve the system of equations using elimination
Step-by-step explanation:
[tex]2x + y = 5 \\ - x + y = 2[/tex]
[tex]y = 2 + x[/tex]
[tex]2x + x + 2 = 5 \\ 3x + 2 = 5 \\ 3x = 3 \\ x = 1 \\ y = 2 + x \\ y = 3[/tex]
From end zone to end zone , a football field is 120 yards long .how long is the football field in feet
Answer: 360 feet
Step-by-step explanation: Since there's 3 (feet) in 1 (yard) then in 120 yards you'll have to multiply it by 3, since 3 feet is in 1 yard. So in every yard is 3ft so you'll multiply.
120*3=360
Answer:
360
Step-by-step explanation:
Use a = 6 and b = 24 to work out the value of these expressions
a) a + b
b) ab
c) b/a
d) (a + b)
Answer:
Below
Step-by-step explanation:
A= 30
B=144
C=4
D=30
Answer:
a) 6 + 24 = 30
b) 6 × 24 = 144
c) 24 ÷ 6 = 4
d) (6 + 24) = 30
Step-by-step explanation:
Replace a with 6
replace b with 24