Answer:
[tex]9x- 60=10[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{4}x - 5 = \frac{5}{6}[/tex]
Required
Rewrite to remove fractions
The denominators in the above expression are 4 and 6.
So, first we take the LCM of 4 and 6
[tex]LCM = 12[/tex]
Next, multiply both sides of the equation by this LCM (12)
[tex]12 ( \frac{3}{4}x - 5) = \frac{5}{6} * 12[/tex]
[tex]12 * \frac{3}{4}x - 12 *5 = \frac{5}{6} * 12[/tex]
[tex]3 * 3x- 60=5 * 2[/tex]
[tex]9x- 60=10[/tex]
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?
Answer:
[tex](3,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point J (15, -13)
Point K (-9, 27)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint.
Substitute [MP]: [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add: [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide: [tex](3,7)[/tex]A man drops a stone from a bridge. How high is the bridge if the stone hits the water 4 seconds later
Answer: 4 feet
Step-by-step explanation:
Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. What was his car's initial speed?
Answer:
19.5
Step-by-step explanation:
60 - 40.5 = 19.5.
A. 48
B. 44
C. 52
D. 40
6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?
Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
Angle measure pleaseeee
If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP
Micah bought a couch for $450. If he had to pay 7% sales tax, how much total did he pay for the couch?
Answer:
$481.50
Step-by-step explanation:
(7/100)*(450)=31.50
31.50+450=481.50
can someone help me with this?
Answer:
A'(-2,0) B'(-3,5) C'(0,4)
Step-by-step explanation:
all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.
Answer:
A. (-2,0)
B. (-3,5)
C. (0,4)
Factor the following by completing the square w^4-22w^2+9
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9
Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $
pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$71.44
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist
Answer:
Would be the approx 17.55 or 12p
Step-by-step explanation:
Mark me brainliest because you promised it and have a splended day ( ^ :
If bc+ad=b solve for a
Answer:
10
Step-by-step explanation:
Answer:
a = c/d
Step-by-step explanation:
ad = b-bc
ad = c
a = c/d
what is the difference between the 11th square number and the 4th square number?
Answer:1 squared 1
2 squared 4
3 squared 9
4 squared 16
5 squared 25
6 squared 36
7 squared 49
8 squared 64
9 squared 81
10 squared 100
11 squared 121
12 squared 144
13 squared 169
14 squared 196
15 squared 225
16 squared 256
17 squared 289
18 squared 324
19 squared 361
20 squared 400
Step-by-step explanation:
dude just search it up
Answer:
105
Step-by-step explanation:
The 11 th square number is 11² = 121
The 4 th square number is 4² = 16
Their difference is 121 - 16 = 105
81-1 1/5 x < 55
please help i need help fast
Step-by-step explanation:
81 - 1.2x < 55
81 < 55 + 1.2x (add 1.2x to both sides)
1.2x > 26 (subtract 55 from both sides)
x > 21 2/3.
Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?
Answer:
180 square centimeters
Step-by-step explanation:
Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.
2x/ 4x4 - 2x
simplify
Answer:
x^5/2 - 2x
Step-by-step explanation:
Cancel terms that are in both the numerator and denominator
2
Combine multiplied terms into a single fraction
3
Combine exponents
Answer: x^5/2 - 2x
Step-by-step
What is 345 divied by 189 remander2
Answer:
37
4 remander
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:
5 ⟌ 1 8 9
Step 2:
The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 1 8 9
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 1 8 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
5 ⟌ 1 8 9
- 0
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
5 ⟌ 1 8 9
- 0
1 8
Step 6:
The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:
0 3
5 ⟌ 1 8 9
- 0
1 8
Step 7:
Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:
0 3
5 ⟌ 1 8 9
- 0
1 8
1 5
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3
Step 9:
Move down the last digit of the dividend (9) like this:
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 10:
The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 11:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
- 3 5
4
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 189 divided by 5 calculated using Long Division is:
37
4 Remainder
Tom swam to the bottom of a swimming pool that was 9 feet deep and he touched
the bottom. He swam back to the surface. How many feet did Tom swim?
Answer:
18 feet
Step-by-step explanation:
9 x 2 = 18
MATHHHH!!!! PLZZZZ!!! HELP!!!
in desperate need of help , please help lol
Answer:
No, the figures are not similar.
Step-by-step explanation:
In order for the figures to be similar, in object B, the line labeled as 20 would need to be 10.
Yo can I get some help with this!
Answer:
b=56
Step-by-step explanation:
Try
I WILL GIVE BRAINLEST
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes
PLSSS SHOW YOUR WORK PLSSSSSS
Answer:
2d-5=Q ?
Step-by-step explanation:
Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)
i need help 10 points
Answer:
B
Step-by-step explanation:
x intercepts is (- 1/2,0)
y intercepts is (0,2)
SAS Congruence Theorem Two Column Proof, Pictures Included.
WILL GIVE BRANIEST
Answer:
we prove the both triangle
first we profe sides
two years late but hope this helps !!
tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity
your proving is in photo
How could the statement "12 less than x" be written?
Answer:
The statment would be written as "12 - x".
Round 7.284 to the nearest thousandth.
Answer:
7.28
Step-by-step explanation.
4 is rounded down to 80 and if you just take away the 0 in 80 its 8.
Answer:
it already is
Step-by-step explanation:
.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down
3(x+1)-2x=-6
Slove this
Answer:
x = -9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(x + 1) - 2x = -6
Step 2: Solve for x
Distribute 3: 3x + 3 - 2x = -6Combine like terms: x + 3 = -6Isolate x: x = -9Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(-9 + 1) - 2(-9) = -6Add: 3(-8) - 2(-9) = -6Multiply: -24 + 18 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = -9 is the solution to the equation.
Please help Algebra 1
Answer:
D
Step-by-step explanation: