15x + 57 ≥ 129
15x ≥ 129 - 57
15x ≥ 72
x ≥ 24/5
x ≥ 4.8
Answer:
[tex]x \geqslant 4.8[/tex]
Step-by-step explanation:
[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]
I need help with these problems from #33 to #40 can someone please help me with them ASAP please and thank you.. can you show step by step please and thank you .. this was due today
#33
[tex]\\ \sf\longmapsto \dfrac{300(300+1)}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{300(301)}{2}[/tex]
[tex]\\ \sf\longmapsto 150(301)=45150[/tex]
#34
[tex]\\ \sf\longmapsto \dfrac{500(500+1)}{2}[/tex]
[tex]\\ \sf\longmapsto 250(501)[/tex]
[tex]\\ \sf\longmapsto 125250[/tex]
#35
[tex]\\ \sf\longmapsto \dfrac{675(675+1)}{2}[/tex]
[tex]\\ \sf\longmapsto dfrac{675(676)}{2}[/tex]
[tex]\\ \sf\longmapsto 675(338)[/tex]
[tex]\\ \sf\longmapsto 228150[/tex]
#36
[tex]\\ \sf\longmapsto \dfrac{825(825+1)}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{825(826)}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{825(413)}{1}[/tex]
[tex]\\ \sf\longmapsto 340725[/tex]
#37
n=102/2=51[tex]\\ \sf\longmapsto n^2[/tex]
[tex]\\ \sf\longmapsto 51^2[/tex]
[tex]\\ \sf\longmapsto 2621[/tex]
#38
n=49+1/2=50/2=25[tex]\\ \sf\longmapsto n^2[/tex]
[tex]\\ \sf\longmapsto 25^2[/tex]
[tex]\\ \sf\longmapsto 625[/tex]
#39
n=999+1/2=1000/2=500[tex]\\ \sf\longmapsto n^2[/tex]
[tex]\\ \sf\longmapsto 500^2[/tex]
[tex]\\ \sf\longmapsto 250000[/tex]
write .0015 in scientific notation please help
0.0015 in scientific notation
= 1.5 × 10-3
1.5×10^3
hope i helped!
two numbers have a sum of 25. if one number is x, represent the other number as an expression in x
write as a algebraic expression plz like asap
Answer:
x+n
Step-by-step explanation:
The expression for another number will be 25 - x.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Let's say another number is y
Then,
Sum of both number
x + y = 25
y = 25 - x
Hence "The expression for another number will be 25 - x".
To learn more about expression,
https://brainly.com/question/14083225
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If DE = X+1, EF = x-2, DF =15, and E is
between D and F. then DE = ?
Answer:
X =8
Step-by-step explanation:
DF = DE + EF
15 = X+1 + X-2
16 = 2X
X = 8
Jennifer is saving money to buy a bike. The bike costs $261. She has $107 saved, and each week she adds $14 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her ____ weeks to save for the bike.
Answer:
It will take her 11 weeks to save for the bike
Step-by-step explanation:
261 -107 = 154
154 /14=11
Find the 35th term in the arithmetic sequence 3, 9, 15, 21, …
Answer:
208
Step-by-step explanation:
First term = a = 4
Common difference = d = a2 - a1 = 9 - 3 = 6
35th term = a + (35 - 1)d
4 + (35 - 1)6
4 + (34)6
4 + 204
208
Answer:
207
Step-by-step explanation:
An=A1+(n-1)×R
A35=3+(35-1)×(9-3)
A35=3+34×6
A35=3+204
A35=207
What is the height of a triangle with an area of 32 cm2
and a base of 8 cm?
Answer:
8 32 A for area and H for height
Step-by-step explanation:
Translate the following statement into an equation and solve for x
Answer:
104 = -13 x -8
Step-by-step explanation:
The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.
What is the inverse of multiplication?
(A) subtraction
(B) division
(C) addition
(D) multiplication
Answer:
b
Step-by-step explanation:
Answer:
b) division.
Hope it helps you....How many Christmas trees were sold on sat and sunday?
Hello :D
Let's form an equation:
x/5 = 27
Let's form another equation:
(x+y)/7 = 34
Rearrange equation one so it is x = 27 x 5 = 135
Now we can substitute this value into equation 2:
(135 + y)/7 = 34
135 + y = 238
y = 238 - 135
y = 103
Answer is 103
Answer:
103 christmas trees.
Step-by-step explanation:
total trees sold in the first five days:
[tex]27 \times 5 = 135[/tex]
total trees sold in this week:
[tex]34 \times 7 = 238[/tex]
The answer is:
[tex]238 - 135 = 103[/tex]
2x° 4xº
Find the value of x.
Write and solve the equation to find the
value of x.
"The quotient of negative sixty and a
number x is four."
a) -60 * x = 4; x = 15
b) -60 / x = 4; x = -15
c) -60 * x = 4; x = -15
d) -60 / x = 4; x = 15
Answer:
C) -60/x = 4; x = -15Step-by-step explanation:
-60 / x = 4-60 ÷ 4 = -15x = -15Checking:-60/x = 4-60/(-15) = 4[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Solve for v in terms of s, t, and u.
S = U-t + V
V = what??
Answer:
[tex]v=s-u+t[/tex]
Step-by-step explanation:
Hi there!
[tex]s=u-t+v[/tex]
Our goal is to isolate v on one side of the equal sign.
Subtract u from both sides:
[tex]s-u=u-t+v-u\\s-u=-t+v[/tex]
Add t to both sides to isolate v:
[tex]s-u+t=-t+v+t\\s-u+t=v\\v=s-u+t[/tex]
I hope this helps!
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
The step two in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment.
Step-by-step explanation:
The steps to copy a line segment:
1. Move the compass place to point P.
2. Change the span of the compass to the length of the first line portion (PQ).
3. Move the compass place to R.
4. Draw a bend that meets the line to one side of R.
Learn more about line segment, refer :
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PLEASE HELP THIS IS DUE TODAY :((
The picture is attached below
The question is
Given the piecewise function shown below select all of the statements that are true
A is true: 1 > 0, and f (1) = 1² - 1 = 0.
B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.
C is false: 4 > 0, and f (4) = 4² - 1 = 15.
D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.
Which of the following values are solutions to the inequality 5x – 10 < -5?
I. - 1
II. 9
III.1
None
I only
II only
III only
I and II
I and III
II and III
I, II and III
Answer:
-1
Step-by-step explanation:
Plug in all of the numbers for x. 1 is -5<-5 and -1 is -15<-5
1/7 x X =1
X x 1/11=1
1 divided by 1/5=
Answer:
x = 7x = 115Step-by-step explanation:
[tex] \frac{1}{7} \times x = 1[/tex]
[tex]7 \times \frac{1}{7} x = 7 \times 1[/tex]
[tex]7 \times \frac{1}{7} x = 7[/tex]
[tex]\boxed{\green{x = 7}}[/tex]
◇◇•◇◇
[tex]x \times \frac{1}{11} = 1[/tex]
[tex] \frac{1}{11} x = 1[/tex]
[tex]11 \times \frac{1}{11} x = 11 \times 1[/tex]
[tex]11 \times \frac{1}{11} x = 11[/tex]
[tex]\boxed{\green{x = 11}}[/tex]
♤♤•♤♤
[tex]1 \div \frac{1}{5} = 1 \times \frac{5}{1} [/tex]
[tex]1 \times 5[/tex]
[tex] \boxed{\green{= 5}}[/tex]
in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.
(for the first one <1=5x° I found out x=17 so I just need the rest if you can)
Answer:
y=95
Step-by-step explanation:
17x5=85
180-85=95
y=95
Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.
What are vertical angles?Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.
The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.
∠1 = ∠3
5x° = 85°
x = 85° / 5
x = 17°
Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,
∠1 + ∠2 = 180°
5x + y = 180°
Substitute the value of x,
5(17°) + y = 180°
85° + y = 180°
y = 180° - 85°
y = 95°
Hence, the value of x and y is 17 and 95, respectively.
The complete question is mentioned below.
Learn more about Vertical Angles here:
https://brainly.com/question/24460838
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Please help!! Due tm! NO LINK
Ans4
Step-by-step explanation:
Step-by-step explanation:
25 . f (-6) = 7
26 . f (0) = -2
27 . x = 2
28 . x = -4
There are 60,659 people under the age of 14 years old
There are 215,927 people age between 15 and 64 years old
There are 36,610 people over the age of 65 years old
What is the Old Age Dependency Ratio as a decimal rounded to
the Thousandths place?
Answer:
(2,800/1,500) * 100 = 187%
Step-by-step explanation:
Can someone explain me how to do this
8) v = -3
9) m = 4
Explanation:
8)
[First distribute the factored terms on the left side of the equation]
2(v + 4) + 3(4v + 5) = -19 →
2(v) + 2(4) + 3(4v) + 3(5) = -19 →
2v + 8 + 12v + 15 = -19 →
[Next, add the like terms together]
(2v + 12v) + (8 + 15) = -19 →
14v + 23 = -19 →
[Subtract 23 from both sides to isolate the constant term]
14v + 23 – 23 = -19 – 23 →
14v = -42 →
[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]
14v / 14 = -42 / 14 →
v = -3
9)
[Start by distributing the factored term on the left side of the equation]
2(m – 1) = 10 – m →
2m – 2 = 10 – m →
[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]
2m – 2 + m = 10 – m + m →
3m – 2 = 10 →
[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]
3m – 2 + 2 = 10 + 2 →
3m = 12 →
[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]
3m / 3 = 12 / 3 →
m = 4
which number comes first when The numbers are listed from least to greatest a. 1/6 b. -1 c. 5 squared d. -7/2 e. 4.6
the answer is C. -1
Step-by-step explanation:
-1 is the smallest number
A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Find the number of classes the student took.
Answer:
The student took 28 classes
Step-by-step explanation:
What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.
simplify this exponential expression
[tex]( \frac{1}{3} )^{2} [/tex]
Answer:
Answer: 3^-2
Step-by-step explanation:
[tex]( \frac{1}{3} ) {}^{2} \\ \\ = \frac{ {1}^{2} }{ {3}^{2} } \\ \\ = {3}^{ - 2} [/tex]
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Evaluate the power
[tex]\frac{1^2}{3^2}[/tex]
Divide
[tex]\frac{1}{9}[/tex]
CALLING ALL EXPERTS, PLEASE HELP ME WITH MY HOMEWORK!! WORTH A LOT OF POINTS AND WILL GIVE BRAINLIEST!!
Answer:
1= 1 7/8 or 1.875
2= 235.75
3= 10 1/2 or 10.5
4=191.53
5=1 5/12 or 1.4166667
6=239.13
hope this helps
Answer:
1.
[tex] \frac{9}{4} [/tex]
2. 235.75
3.
[tex] \frac{21}{2} [/tex]
4. 191.53
5.
[tex] \frac{17}{12} [/tex]
6. 239.13
Step-by-step explanation:
1.
[tex]3 \times \frac{3}{8} - 1 \times \frac{1}{2} = 2 \times \frac{1}{4} or \: \frac{9}{4} [/tex]
2. 168.45 + 67.3 = 235.75
3.
[tex]6 \times \frac{3}{5} + 3 \times \frac{9}{10} = \frac{21}{2} [/tex]
4. 249.6 - 58.07 = 191.53
5.
[tex] \frac{5}{6} + \frac{7}{12} = \frac{17}{12} [/tex]
6. 334.16 - 95.03 = 239.13
Help me with this please I’d appreciate it
The coordinates of Point [tex]D'[/tex] are [tex](42, 0)[/tex]
[tex]\text{Algebraic Representation: } (x,y) \to (7x,7y)[/tex]
Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?
Answer:
7x + 3
Step-by-step explanation:
old - new =
(4x**2 + 7x + 3) - (4x**2) = 7x + 3
Find the area of a rectangular ground which is 14 1/2 m long and 10 2/3 m wide.
Answer:
154 2/3 m²
Step-by-step explanation:
14 1/2 x 10 2/3
First, make the mixed numbers into improper fractions:
29/2 x 32/3
Simlify by cross cancelling if you can:
29/1 x 16/3
Then, multiply:
29/1 x 16/3 = 29 x 16/1 x 3 = 464/3
Finally, turn the new improper fraction into a simplified mixed number:
464/3 = 154 2/3
The area is 154 2/3 m²
I need a little help .??!??????????????????????
(e) it is the last one........
R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?
let the last number be x
we know,
[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]
So,
[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]
[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]
[tex] \hookrightarrow \: 32 = 22 + x[/tex]
[tex] \hookrightarrow \: x = 32 - 22[/tex]
[tex] \hookrightarrow \: x = 10[/tex]
therefore, the last number is 10.