Answer:
1. x=4
2. x=7
3. x=-2
4. x=-2
5. x=-3
Step-by-step explanation:
1. Divide both sides by -2 to get x by itself
-2x/-2=-8/-2....
x=4
2. Add 4 to both sides and then divide by -2
-2x-4+4=-18+4
-2x/-2=-14/-2
x=7
3. Distribute, add 12 to both sides and then divide by 3
3x-12=-18
3x-12+12=-18+12
3x/3=-6/3
x=-2
4. Add 5 to both sides
x-5+5=-7+5
x=-2
5. Distribute, add 4 to both sides, divide both sides by 4
4x-4=-16
4x-4+4=-16+4
4x/4=-12/4
x=-3
a scaled drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 210 yards long. what is the width of the actual park in yards
Answer:
I think the width would be 150 yd
Step-by-step explanation:
just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side
help plz or my teacher will give me a zero
Answer:
Variable x = $2.39 ⇒ price of 1 pound of cashews
Variable y = $1.79 ⇒ price of 1 pound of peanuts
Step-by-step explanation:
Assume that the price of each pound of cashews is $x and the price of each pound of peanuts is $y
∵ The price of 1 pound of cashews = x
∵ The price of 1 pound of peanuts = y
∵ 5 pounds of cashews and 8 pounds of peanuts cost $26.27
∴ 5x + 8y = 26.27 ⇒ (1)
∵ 7 pounds of cashews and 4 pounds of peanuts cost $23.89
∴ 7x + 4y = 23.89 ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (2) by -2 to make the coefficients of y equal
in values and different in signs
∵ -2(7x) + -2(4y) = -2(23.89)
∴ -14x - 8y = -47.78 ⇒ (3)
→ Add equations (1) and (3) to eliminate y
∵ (5x + -14x) + (8y + - 8y) = (26.27 + -47.78)
∴ -9x = -21.51
→ Divide both sides by -9 to find x
∴ x = 2.39
→ Substitute x in equation (1) or (2) to find y
∵ 5(2.39) + 8y = 26.27
∴ 11.95 + 8y = 26.27
→ Subtract 11.95 from both sides
∴ 8y = 14.32
→ Divide both sides by 8 to find y
∴ y = 1.79
∴ The price of 1 pound of cashews is $2.39
∴ The price of 1 pound of peanuts is $1.79
On Dan's eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan's eReader are mysteries?
1 point
A. 4/5
B. 8/15
C. 2/3
D. 4/6
Answer:
4/6
Step-by-step explanation:
hope this helps you
Consider the line y = x+4.
Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
Find the equation of the line that is parallel to this line and passes through the point (-8, 6).
Simplify to create an equivalent expression.
8(10 - 6q) + 3(-7q- 2)
Choose 1 answer:
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. The fuel gauge shows there and 15 litres left in the tank. How many more miles can the car travel before it runs out of petrol?
Answer:
Miles= 120
Step-by-step explanation:
Giving the following information:
A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters.
First, we need to calculate the miles per liter:
Miles per litre= 480 / 60
Miles per litre= 8 miles
Now, the miles that can be driven with 15 liters:
Miles= 15*8
Miles= 120
What is 3x-4y=10 on a graph
Answer:
Step-by-step explanation:
How would you write 300000 + 400000 + 600 + 7 in standard form?
Answer:
700607
Step-by-step explanation:
(do not round the answer)what is
A. 3.48g+8.62=29.37
Answer:
The answer is 5.9626436782
bruh if you can help with algebra 2 please help
Answer:
what do you need?
Step-by-step explanation:
pictures would be nice
Answer:
yea sure whats the problem
answer this question
Answer:
a = p * q
b = p * s + q * r
c = r * s
Step-by-step explanation:
In the trinomial ax² + bx + c
a is the coefficient of x²
b is the coefficient of x
c is the numerical term
∵ The trinomial is ax² + bx + c
∵ Its factors are (px + r) and (qx + s)
∴ ax² + bx + c = (px + r)(qx + s)
∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)
∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs
∴ ax² + bx + c = pqx² + (ps + qr)x + rs
→ By comparing the two sides
∵ ax² = pqx² ⇒ divide both sides by x²
∴ a = pq
∵ bx = (ps + qr)x ⇒ Divide both sides by x
∴ b = ps + qr
∴ c = rs
∴ a = p * q
∴ b = p * s + q * r
∴ c = r * s
(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?
A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.
Answer:
A.
Step-by-step explanation:
For square one, the dark part added up= 1/4 of the whole big square.
For square 2. the colored in part= 1/4 of the whole big square.
For square 3. The colored part = 1/4 of the whole big square.
Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.
For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.
THE ANSWER IS A THOUGH.
V = r2h what is the equation for h?
Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?
Answer:
All you need to remember is the rules
Step-by-step explanation:
Let us remember
a to the m power x a to the nth power is = a to the m+n power. (add the exponents)
And
a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So
14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power
Olympi
During the 1996 Summer Olympics in Atlanta, Georgia
the American athlete Michael Johnson set an
and world record in the men's 200-meter run. He finishe
the race in 19.32 seconds, breaking the previous Olympi
record of 19.75 seconds. By how much did Micha
Johnson break the previous Olympic record?
Answer: he broke the record by 0.43 seconds
Solve this problem 48-2(8+2)
M is the midpoint of AD.
Triangles A B M and D C M are connected at point M. Sides A B and C D are congruent. The length of side B M is 3 x + 6 and the length of corresponding side M C is 4 x minus 1.
What value of x will make triangles ABM and DCM congruent?
3
5
7
9
Answer:
7
Step-by-step explanation:
ΔABM and ΔDCM
4x - 1 = 3x + 6
4x - 3x = 6 + 1
x = 7
Answer:
C. 7
Step-by-step explanation:
Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).
Given
BM = 3x+6
MC =4x-1
Since both triangles are congruent, then BM = MC
Next is to get x;
3x+6 = 4x-1
collect like terms'
3x-4x = -1-6
-x = -7
multiply through by -1
-(-x) = -(-7)
x = 7
Hence the value of x that will make triangles ABM and DCM congruent is 7
A student ate 3/20 of all the candy and another 1.2 lb. Another student ate 3/5 of the candy and the remaining 0.3 lb. What was the total weight of the candy they ate?
Answer:
x = 6 lb
Step-by-step explanation:
Let
Total weight of the candy = x
3/20x + 1.2 lb + 3/5x + 0.3 lb = x
3/20x + 3/5x + 1.5 lb = x
3x+12x/20 + 1.5 lb = x
15/20x + 1.5 = x
1.5 = x - 15/20x
1.5 =20x -15x /20
1.5 = 5/20x
1.5 = 1/4x
x = 1.5 ÷ 1/4
= 1.5 × 4/1
= 6
x = 6 lb
Mr. Ortiz took his friends out to dinner last night and their subtotal was $88.24.
If the sales tax is 5% and if he plans to leave a 20% tip after the tax is added, how much did Mr. Ortiz spend total on dinner?
Answer:
$111.18
Step-by-step explanation:
Dinner is $88.24
Tax is (.05)$88.24 = $4.41
20% after tax added (.20)92.65 = $18.53
total dinner cost is $111.18
Zachary purchased a computer for $1200 on a payment plan three months after he purchased a computer his balance was $795. six months after he purchased a computer his balance was $390 what is the equation that models the balance y after X months
A woman goes to macy's and wants to purchase the following items: A sweater for $19.99, a belt for $29.99 and a pair of earrings for $79.99. How much is her total bill? (assume no tax )
Answer:
129.97
Step-by-step explanation:
19.99+29.99+79.99=129.97
anyone know the answers for either one?
Answer:
nah
Step-by-step explanation:
but search up a tutorial that helps me
All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
A 14 foot long ramp is being built to access a front door in a house. The door is 5 feet above the ground. How far away from the base of the house must the ramp be placed? What angle will the ramp make with the ground?
Answer:
The ramp must be placed 13.08 feet from the base of the house.
The angle the ramp will make with the ground is 20.92°.
Step-by-step explanation:
An illustrative diagram for the scenario is shown below.
In the diagram, d represents the distance of the door from the ground, r represents the length of the ramp and x represent the distance of the ramp from the base of the house.
To determine how far away from the base of the house the ramp must be placed, that is to determine x in the diagram.
The diagram is a right angle triangle and x can be determine using the Pythagorean theorem which states " the square of the hypotenuse equals sum of the squares of the other two sides"
In the diagram, the hypotenuse is r
∴ r² = d² + x²
r = 14 ft
d = 5 ft
∴ 14² = 5² + x²
196 = 25 + x²
Then, x² = 196 - 25
x² = 171
x = √171
x = 13.08
Hence, the ramp must be placed 13.08 feet from the base of the house.
Now, to determine what angle the ramp will make with the ground, that is θ in the diagram.
From the formula
Sinθ = Opposite / Hypotenuse
In the diagram, opposite = d = 5ft
and Hypotenuse = r = 14ft
∴ Sinθ = 5ft / 14ft
Sinθ = 0.3571
∴ θ = Sin⁻¹(0.3571)
θ = 20.92°
Hence, the angle the ramp will make with the ground is 20.92°.
Every ride at the country fair costs the same amount. The cost of one ride is $2.25. The fair entry fee is $6.50. Lupe paid the entrance fee and rode 7 rides. How much did Lupe pay in all?
Answer:
$22.25Step-by-step explanation:
Step one:
given data
we are told that the cost of one ride is $2.25
the entry fee= $6.5
the linear function for the situation is represented by the equation of line
y=mx+c
Step two:
let x be the number of ride
given that x=7
substituting we have
y=2.25(7)+6.5
y=15.75+6.5
y=22.25
In all Lupe we have to pay $22.25
Please help me the picture is above, I’ll mark as brainliest.
An amount P at 6% for 5 years compounded monthly increased to $15000.00. What is P? (Round answer to cents)
Please help me with my work
Answer:
top left is "same" top right is "parallel"
Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings equally how much did each girl receive
Answer: Each girl will receive $18.75.
Step-by-step explanation:
Given: Two girls babysat three children for five hours.
Hourly pay for each child = $2.50
Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]
Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]
So, the amount received by each girl = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]
[tex]=\dfrac{37.5}{2}=\$18.75[/tex]
Hence, each girl will receive $18.75.
if g(x)=3x-1 and if g(x)=7, then which of the following is the value of x
Answer:
g(x)=3x-1=7<=> 3x=8<=> x=8/3Answer:
The value of x will be 8/3
Step-by-step explanation:
g(x) = 3x-1
3x-1 = 7
3x = 7+1
3x = 8
x = 8/3
Hope that helped :)