Answer:
x = -⁷/9
Step-by-step explanation:
[tex] \frac{9x - 8}{3} = \frac{9x - 3}{2} [/tex]
Multiply both sides by 3
[tex] \frac{9x - 8}{3}*3 = \frac{9x - 3}{2}*3 [/tex]
[tex] 9x - 8 = \frac{3(9x - 3)}{2} [/tex]
Multiply both sides by 2
[tex] 2(9x - 8) = \frac{3(9x - 3)}{2}*2 [/tex]
[tex] 2(9x - 8) = 3(9x - 3) [/tex]
[tex] 18x - 16 = 27x - 9 [/tex]
Subtract 27 from each side
18x - 16 - 27x = 27x - 9 - 27x
-9x - 16 = -9
Add 16 to both sides
-9x - 16 + 16 = -9 + 16
-9x = 7
Divide both sides by -9
-9x/-9 = 7/-9
x = -⁷/9
What is the solution of the system of equations?
y=x+2
y = 3x
F. (3,-1) G.(-3, 1) H. (1,3)I. (1, -3)
Answer:
the right answer is H.(1,3)
What is the height of the boat in the scale model?
What length is the real boat?
Answer:
15
Step-by-step explanation:
a) The height of the real boat is 15 feet and the scale model is 3 inches
b) The scale model is 9 inches , and the real height is H = 45 feet
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
The proportion of scale model of the boat to the real boat is 1 : 5
Now ,
a)
The height of the real boat is 15 feet and the scale model is k inches
From the proportion , we get
1 / 5 = k / 15
Multiply by 15 on both sides , we get
k = 3 inches
b)
The scale model is 9 inches , and the real height is H
From the proportion , we get
5 / 1 = H / 9
Multiply by 9 on both sides , we get
H = 45 feet
Hence , the proportion is solved
To learn more about proportion click :
https://brainly.com/question/7096655
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8th grade math. Solve and check. 2x + 3x + 5 = 4(x - 2)
Answer:
x=−13
Step-by-step explanation:
Combine the like terms:
2+3+5=4(−2)5+5=4(−2)
Distribute:
5+5=4(−2)
5+5=4−8
Subtract 5 from both sides
5+5=4-85+5−5=4−8−5
Then simplify:
x=−13
Answer:
x=−13
Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week
Answer:
288
Step-by-step explanation:
it's pretty simple, if u do 96 * 3, it will be that. yw :)
Answer:
He made $324.
Step-by-step explanation:
96 x 3 = 288
204 x 3 = 612
So, then 612-288 = 324
Hope this helped!
help please I cant figure this put
Answer:
C
Step-by-step explanation:
Because the circle is not shaded in, it doesn't count the number it's on:
So it would be a < or >.
Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.
The non-shaded circle is on 4, so your answer, x, will be:
x < 4
But the answer choices don't have this, meaning you have to simplify all of them.
The first one is:
x + 9 < 5
x < -4
x - 5 < 9
x < 14
x + 5 < 9
x < 4
x - 9 < 5
x < 14
So it would be C.
how do I solve this
Answer:
113
Step-by-step explanation:
DQ= 180-112= 68
and sum of ang in quad add to 360 so
lets call what we have to find x
so x+ 68+56+123= 360
x+247=360
x= 113
Lewis scored 0.15 of the points in a basketball game. How many of the team's 120 points did Lewis score
I need help with this algebra problem
Answer:
C
Step-by-step explanation:
The street signs in a subdivision are in the shape of
circles. Each street sign has an area of 452.16 square
inches. What is the approximate circumference of each
sign? Use 3.14 for .
F 38
G 72
H 75
J 144
please help me find the slope and y intercept! i’m the worst at math, i’d really appreciate it <333 (click on photo)
Answer:
3.) y-int = 0
4.) y-int = -1
5.) slope = 2
y-int = 4
6.) slope = -1
y-int = -6
7.) slope = 5
y-int = 8
8.) slope = 7
y-int = 1/2
Step-by-step explanation:
basically, you want to get each of your functions in terms of (y = mx + b)
for each of these:
m will be your slope
b will be your y-intercept
Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .
Complete Question:
Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.
Order the values of the differences from least to greatest.
Student: Raj. Difference (in.): 4/5
Student: Clara. Difference (in.): -1 1/2
Student: Jacob. Difference (in.): 0.9
Answer:
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
The greatest is: 0.9
By student names: Clara, Raj and Jacob
Step-by-step explanation:
See comment for complete question
Given
Differences:
[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
Required
Order from least to greatest
We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
First convert fractions to decimal
[tex]\frac{4}{5} = 0.8[/tex]
[tex]-1\frac{1}{2}= -1.5[/tex]
[tex]-\frac{3}{4} = -0.75[/tex]
So, the differences become:
[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]
Now arrange from least to greatest
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
From the above representation,
The greatest is: 0.9
By student names, we have:
Clara, Raj and Jacob
This is done by simply replacing the numbers with the student name.
See attachment for number line
Answer:
4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob
Step-by-step explanation:
Find the x-intercept and and y-intercept algebraically
y = log2 (x + 1) - 3
need work
Answer:
x intercept is 7 y intercept is -3
Step-by-step explanation:
Write equation out and have y=0
[tex] log_{2}(x - 1) - 3 = 0[/tex]
Add 3 to both sides
[tex] log_{2}(x - 1) = 3[/tex]
Using the log to exponet rule
[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]
Where b and x are real numbers and b cannot equal 1.
Reorder the equation as a exponet
[tex] log_{2}((x + 1) = 3[/tex]
[tex] {2}^{3} = x + 1[/tex]
Simplify
[tex]8 = x + 1[/tex]
Subtract 1 from both sides
[tex]x = 7[/tex]
So the x intercept is 7
To find y intercept plug 0 in as x
[tex] log_{2}(0 + 1) - 3 = y[/tex]
[tex] log_{2}(1) - 3 = y[/tex]
Add 3 to both sides
[tex] log_{2}(1) = y + 3[/tex]
Rewrite in exponet form
[tex] {2}^{y + 3} = 1[/tex]
Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation
[tex]y + 3 = 0[/tex]
Subtract 3 from both sides and we get
[tex]y = - 3[/tex]
So the x intercept is 7 and the y intercept is -3
The length of an alligator in a zoo is 14 5/6 feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17 5/12 feet. Which is the difference in their lengths? a 2 3/4 feet b 2 7/12 feet c 3 5/8 feet d 3 5/6 feet
9514 1404 393
Answer:
b) 2 7/12 ft
Step-by-step explanation:
The difference is ...
(17 5/12 ft) - (14 5/6 ft) = (17 -14) ft + (5/12 -5/6) ft
= 3 ft + (5/12 -10/12) ft = 3 ft - 5/12 ft
= 2 7/12 ft
Need help ASAP I’m on an exam there is a timer
Thankss + BRAINLIST only for correct answer
(question in the picture )
Answer:
it should be D
Step-by-step explanation:
Because shes going back home.
41,692.58
Which number is in the tenths place?
A. 2
B. 5
C. 8
D. 9
Answer:
5 is in the tenths place
Step-by-step explanation:
2 is in the ones place, 8 is in the hundredths place, and 9 is in the tens place.
Are 0.34 and 3/4 equivalent? Please explain your answer In complete sentences.
b+1/3=2 Plz I need it, I will give you brainiest
Answer:
[tex]1\frac{2}{3} [/tex]
Answer:
b = 5/3
Step-by-step explanation:
Ok so,
b + 1/3 = 2
b + 1/3 - 1/3 = 2 - 1/3
now you have to find the common denominator which in this case is 3. so you multiply 2 with 3 giving you six so it should look like this
b = 2/3 - 1/3
b = 1/3
i already checked...its right
i hope this helps. have a good day!
[tex]18 \div 36[/tex]
Answer:
0.5
Step-by-step explanation:
Rewrite as a log: y=7^x
Answer:
log7(y)=x
Step-by-step explanation:
A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?
Answer:
15 feet tall hi hi hi hi hi hi
Answer:
10
Step-by-step explanation:
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
f(x) = 5 + x; $111.05
f(x) = 1.05x; $115.50
f(x) = x – 5; $108.95
f(x) = 0.05x; $5.50
Answer:
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. f(x) = 5 + x; $111.05
B. f(x) = 0.05x; $5.50
C. f(x) = x � 5; $108.95
D. f(x) =1.05x; $115.50
total cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 to get
f(x) = 1.05x
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50 (after tax is added on)
Step-by-step explanation:
1: the total cost of a CD player would be 104.76
2: Total Cost = (price) + (5% of price)
f(x) = x + 0.05x
f(x) = 1.05x
So the function is f(x) = 1.05x
Plug in x = 110 into the function
f(110) = 1.05*110
f(110) = 115.50
The item costs $115.50
3: Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50
Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division
Saan po yung divisor?
Kailangan ko po
someone help me pls 10 points
Answer:
x=-5
Step-by-step explanation:
is it possible to have triangle with 3 cm 6 cm and 7 cm sides if yes then
Answer:
No
Step-by-step explanation:
Step-by-step explanation:
Yes it is possible to have a triangle with 3 cm, 6 cm and 7 cm sides because in order to form a triangle the length of two sides of a triangle should exceed the third side as shown below :
3 + 6 > 7
9 > 7( True) ✔
6 + 7 > 3
13 > 3 ( True) ✔
7 + 3 > 6
10 > 6 ( True) ✔
Hope it will help :)
What is the meaning of data in mathematics?
Answer:
Data can be defined as a collection of facts or information from which conclusions may be drawn. Example of Data EXAMPLE :The data shown below are Mark's scores on five Math tests conducted in 10 weeks.
Step-by-step explanation:
does this make sense more food less active less weight
Answer:
no
Step-by-step explanation:
because more food less active
so if you eat more food, and you are less active you don't exercise off the weight
So you would gain weight not lose weight
Two fuel tanks with the dimensions shown have the same volume. What is the value of ?
Answer:
The height is 2ft
Step-by-step explanation:
If corresponding angles are on parallel lines, then their measure is the same _____.
always
never
sometimes
Step-by-step explanation:
always .
plz mark my answer as brainlist.hope this will be helpful to you
Answer: Always
Step-by-step-sumsum:
Find the length of AD if AB = 24, DE = 8, and DC = 12.
a.8
b.12
c.14
d.10
HELP PLS
Answer:
AD = 12
Step-by-step explanation:
Find the diagram attached
From the given diagram, it can be inferred that;
AB = AD+DB and AD = DB
AB = AD + AD
AB = 2AD
AD = AB/2
Given that AB = 24
AD = 24/2
AD = 12
Hence the length of AD is 12
Answer: 10
Step-by-step explanation:
I got it right after trying the answer of 12 on CAOLA
I need help with this plz