Answer:
X=7
Step-by-step explanation:
Since we have the function F(x)=6x+7, and we are given f(x)=49, we know that 6x+7=49.
Thus, solve for x
6x+7=49
6x=42
x=42/6
x=7
Hope this helps :)
Ethan buys a video game on sale. If the video game usually cost 39.99, and it was on sale for 20% off, how much did Ethan pay?
Answer:
He pays 31.99
He saved $8
Step-by-step explanation:
Find the original price (39.99)
Get the the discount (20%)
Calculate the savings: 20% of $39.99 = $8 (rounded)
Subtract the savings from the original price to get the sale price: $39.99 - $8 = $31.99
Answer:
He pays: 31.99
Step-by-step explanation:
Original price: 39.99
Discout: 20%
Savings: 20% of 39.99= 7.998
7.998 rounded: 8$
Savings minus OG price: 39.99-8
= 31.99
SOLVE THIS TO PROVE YOUR GOOD AT MATHS! (click the image attached)
99.9% CAN'T! BUT CAN YOU BE THE 0.1% THAT CAN!
GOOD LUCK!
Answer:
total area of compound ABCDEF=36cm³
x(x-4)+(x-2)(2x+x)=36cm³
x²-4x+2x(x-2)+x(x-2)=36cm³
x²-4x+2x²-4x+x²-2x=36cm³
4x²-10x=36cm²
4x²-10x-36=0
2(2x²-5x-18)=0
2x²-5x-18=0÷3
2x²-5x-18=0proved.
2x²-(9-4)x-18=0
2x²-9x+4x-18=0
x(2x-9)+2(2x-9)=0
(2x-9)(x+2)=0
either
x=-2(negleted)
or
x=9÷2=4.5cm
A rectangle has a length of 28 feet less than 6 times its width. if the area of the rectangle is 98 square feet, find the length of the rectangle.
Answer:
w = 18 is the solution
The equation for this problem is 6w - 28 + w = 98
w stands for width
Step-by-step explanation:
7x - 28 = 98 Collect like terms
7w = 98 +28 Move the constant to the right hand side and change its sign
7w = 126 Add the numbers
w = 18 Divide both sides of the equation by 7
asap pls I desperately need it
Answer: At [3 pi / 2 ] K, where K = a random constant Sin Theta = -1
Step-by-step explanation:
Is it impossible to check that 4(n + 2) = 4n + 8 for every value of n? How do you know that this equation is true for any value of n?
NEED HELP FOR TEST
Answer:
Okay I'll try to answer this from what you're trying to ask:) and good luck on your test!
Step-by-step explanation:
So to check that 4(n-2) is equal to 4n+8, you would do the distributive property. Now the distributive property is when you take the number outside of the parentheses (in this case 4) and multipy it by what is inside the parentheses (n and 2). With that, you'll get 4 times n which is 4n and 4 times 2 which is 8, combine them and voila! MAKE SURE YOU LOOK AT THE SIGN INSIDE OF THE PARENTHESES
4(n+2)
=4*n + 2*4
=4n+8
Here's another example
3(n-5)
=3*n - 3*5
=3n-15
Hope that helps:)
Evaluate the expression for the given variable value.
p+ 4/15;p=4/5
Answer:
16/15 or 1 1/15
Step-by-step explanation:
Subsitute p for 4/5
4/5+4/15
make common denominators
12/15+4/15
=16/15
Gabrielle’s age is two times mikhail’s age. The sum of their ages is 60.what is makhail age?
Answer:
20
Step-by-step explanation:
if their ages total is 60 and gabrielle's is two times mikhail's age, that means that Mikhail would be twenty because their age times 2 would be 40 and 40 plus 20 is 60.
Answer:
A) g = 2m OR g -2m = 0
B) g + m = 60
Multiplying A) by -1
A) -g + 2m = 0 then adding this to B)
B) g + m = 60
3m = 60
Mikhail’s age = 20
Gabrielle's age = 40
Step-by-step explanation:
Select the correct answer.
Trang has a job planting shrubs beside the highway. He needs to plant 500 shrubs in a week. So far, he has planted this many:
Monday 84 Tuesday 92
Wednesday 87 Thursday 104
How many shrubs does Trang need to plant on Friday?
OA. 133
ОВ.
367
OC 33
OD.
No more shrubs are needed.
Reset
Next
Answer:
133
Step-by-step explanation:
84+92+87+104=367
500-367=133
Simplify x + 4 - 5x - 2.
F. -5x + 2
G. -5x - 2
H. -4x + 2
I. -4x - 2
Answer:
i -4x - 2
Step-by-step explanation:
Find m21.
57
93
132
123
Answer:
123°Step-by-step explanation:
Angle 1 is the exterior angle of the pictured triangle.
As we know the exterior angle is equal to sum of non-adjacent interior angles:
m∠ 1 = 60° + 63°m∠ 1 = 123°Which is the equation of a line in point-slope form given the following two points (6,15) and(11,27.5)
Answer:
y = 2.5x + 0
Step-by-step explanation:
Use the slope formula and slope-intercept form y = mx + b to find the equation.
London made a paperclip sculpture that weighed about 78 grams. How many kilograms does his
sculpture weigh
Answer:
0.078 kg
Step-by-step explanation:
The conversion from grams to kilograms involves a division by a factor of 1000 as shown below:
78 / 1000 = 0.078
Therefore the sculpture weights 0.078 kg
tooth is an example of early dental care commonly found in human skull
Answer:
True.
Step-by-step explanation:
Please help me with the math problem. Part 1
Answer:
Step-by-step explanation:
r:=interest rate =7%
p = unknown
Principle + interest = 4280
t = 1 year
Formula
Total = p*r*t + p
4280 = p*(1 + r*t)
4280 = p*(1 + 7/100 * 1)
4280 = p (1.07)
4280 / 1.07 = p
P = 4000
===================
What this means is that if you loan out 4000 dollars for a year at 7%, you will get 280 dollars in return (plus of course your 4000). However in this day and age, try getting 7%.
The 100 dollar problem is the same thing. This time you have P and you want the total.
Total = p(1 + r*t)
Total = 100 (1 + 7/100 * 1
Total = 100 ( 1 + 0.07)
Total = 107
So the principle is given and the value of the investment after 1 year is 107 dollars.
The amount Max earned last week can be modeled by the expression 25 plus 5 i greater or equal than 95 comma where i is the number of items he sold. Which number line shows how many items he could have sold last week?
Answer:
Line 3 (or C)Step-by-step explanation:
The inequality as per description is:
25 + 5i ≥ 955i ≥ 95 - 255i ≥ 70i ≥ 70/5i ≥ 14i = [14, + ∞)This is shown on the number line 3 on the picture or option C
Answer
Line 3 (or C)
Step-by-step explanation:
25 + 5i ≥ 95
5i ≥ 95 - 25
5i ≥ 70
i ≥ 70/5
i ≥ 14
i = [14, + ∞)
Complete the steps below to solve the problem using equations. Part A Let the variable g represent the measurement of angle G. Write an equation that you can use to solve fors
Answer:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.
Step-by-step explanation:
i copied the answer bc i finished and that was the answer.
Answer:
:The sum of the angle measurements in a triangle is 180°. If e, f, and g are the measurements of angles E, F, and G, respectively, e + f + g = 180°.
Angle E is a right angle, so e is 90°. From the given information, f is 30°. Substitute the values of e and f in the equation to solve for g : 90° + 30° + g = 180°.Step-by-step explanation:
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
12. Consider the general rational equation a/b=c/d
(a) What equation results if you multiply both sides of this equation by bd/1?
(b) What does the expression bd represent in the equation above?
Part (a)
Answer: ad = bc
-------------------------
Explanation:
In the equation a/b = c/d, we have b and d in the denominator.
If we multiply both sides by bd, then the denominators will cancel. The expression bd is the same as bd/1.
As a similar example, consider the equation
a/b = 12
if we multiply both sides by b, then we clear out the denominator to end up with a = 12b
As another example, let's consider
a/b = c
Multiplying both sides by b leads to
a = bc
The same idea applies with the denominator d as well.
When going from a/b = c/d to ad = bc, your textbook may refer to this process as "cross multiplication".
=================================================
Part (b)
Answer: bd is the product of the denominators
-------------------------
Explanation:
Often in math, writing two variables next to each other represents multiplication.
bd is the same as b*d which means "b times d". The term "product" is the result of multiplying two or more values.
b and d are both in the denominator of each fraction, so bd represents the product of the denominators.
A plane can fly 520 miles in the same time as it takes a car to go 120 miles. If the car travels 100 mph slower than the plane , find the speed of the plane .
Answer:
420 miles
Step-by-step explanation:
i think
420
Step-by-step explanation:
because the car is 100mph below the plane
Julie ate 1/4 of the pie. If the pie had eight slices, how many slices did she eat
Step-by-step explanation:
4/4 of the pie = 8 slices
1/4 of the pie = 8 slices / 4 = 2 slices
Hence Julie ate 2 slices of the pie.
Answer:
2 slices of pie she ate
Step-by-step explanation:
She ate 2/8th of the slice.
Identify ALL sets of parallel and perpendicular lines in this image.
Answer: D
Step-by-step explanation: look at answer D and look at the picture and compare answer D with the picture and that is why the answer is D.
If you deposited $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
A
$75
B
$425
C
$575
D
$8,000
Answer:
I believe its C, have a good day!
Step-by-step explanation:
A = $575.00
I = A - P = $75.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 500(1 + (0.03 × 5)) = 575
A = $575.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 3% per year for 5 years is $575.00.
How much fabric is needed to
create the sail below?
14ft by 9ft
whoever helps gets brainliest first
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
this is the answer
pls give me brainliest
An equation showing the
proportional relationship
between x and y can be written
gy. The same relationship
can also be written y = kx.
=
What is the value of k in the
second equation? (Type the
decimal form for your answer.)
Can you help me? Please I need it!
Answer:
A = 44.5 square feet
Step-by-step explanation:
you can separate the 5' x 5' square on top from the trapezoid on the bottom
A(square) = s² = 5² = 25
A(trapezoid) = 1/2h·(sum of 2 bases)
= 1/2 (6) (5 + 8)
= 3(13)
= 39/2 = 19.5
Area of total shape = 25 + 19.5 = 44.5
How many mL are there in 3,700 microliters?
Answer:
3.7 mL
Step-by-step explanation:
Which equation is the standard form of -8x + 3x ^2= -19?
Answer:
y = 3x + 2
Step-by-step explanation:
is sometimes called "Standard Form", but is more properly called the "General Form".
Write a expression for b plus 4
Hey there!
“Write a expression for b plus 4”
Key term(s): “b plus 4”
• b = b (which is an UNKNOWN know)
• plus let’s us know that we’re adding
• 4 let’s us know what we’re COMPARING to “b”
Equation/Answer: “b + 4” would most likely be your expression
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
