there are no figures shown.
A radio station is offering a promotion for a concert. Every 6th caller will receive a T-shirt and every 10th caller will receive a free concert ticket. Which caller will be the first to receive both a T-shirt and a free concert ticket?
The perimeter of a rectangular painting is 348 centimeters. If the width of the painting is 82 centimeters, what is its length?
1 centimeters
Answer:
Step-by-step explanation
Given
The perimeter of a rectangular painting =348 centimeter
the width of the painting=82cm
Solution
Perimeter of the rectangular painting=2(length+width)
2(Length +width)=348
2(Length+82)=348
2l+164=348
2l=348-164
2l=184
Length=184/2
So length =92cm.
Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8
Answer:
x = 0
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Answer:
x = 0
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How
many sweets are there altogether?
Please help
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73
whats the slope of 10x+4y=-20
Answer:
In Explanation
Step-by-step explanation:
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.
10x + 4y = 20
Isolate the y term
10x + 4y – 10x = 20 – 10x
4y = 20 – 10x
Rearrange the terms
4y = –10x + 20
Divide both sides by 4
4y4=−10x+204
y=−104x+5
The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.
What is the value of x?
Answer:
X=53°+45°=98°
( BEING EXTERIOR ANGLE OF A TRIANGLE IS EQUAL TO THE SUM OF INTERIOR ANGLES)
Answer:
Value of x is 118 in the morning
18- 8x = 8 + 3(1 - 3x)
Work shown please!
Answer
7 = -x
Step-by-step explanation:
18- 8x = 8 + 3(1 - 3x)
18- 8x = 8 +3-9x
18- 8x = 11 - 9x
7- 8x = -9x
7 = -x
Answer:
x=-7
Step-by-step explanation:
step by step in picture.
What is the slope between these two points?
(6,10) (8,3)
Answer:
the slope of the two points is [tex]-\frac{7}{2}[/tex]
Step-by-step explanation:
to find the slope of two points you have to subtract them (x1,y1), (x2,y2)
Steps:
[tex](X_1,Y_1) (X_2, Y_2)[/tex]
[tex]\frac{3 - 10}{8 - 7} = -\frac{7}{2}[/tex]
What is the inverse of the function f(x) = 2x - 10?
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]
Which one should I choose
Answer:
its the last one
Step-by-step explanation:
the sign flips when you divide by a negative
9514 1404 393
Answer:
z ≥ 3
Step-by-step explanation:
When you divide by the negative coefficient of z, you reverse the inequality symbol:
-8z ≤ -24
z ≥ -24/-8 . . . . divide by -8
z ≥ 3
This graphs as a solid dot at 3, with the line extending to the right (to greater values).
Please someone help me
m=69 miles
you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D
H
S
45°
299
N
106
E
29°
А A A
Answer:
Can you pls write it straight
Step-by-step explanation:
20 – 3n > 7n show work
Answer:
n>5
Step-by-step explanation:
move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side
now you have
-3n>7n-20
move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have
4n>20
this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.
n/4>20/4.
you are left with n>5
Answer:
n<2
Step-by-step explanation:
Subtract 20 from both sides 20-3n-20>7n-20
Simplify -3n>7n-20
Subtract 7n from both sides -3n-7n>7n-20-7n
Simplify again -10n>-20
multiply both sides by -1 (-10n)(-1) < (-20)(-1)
Simplify 10n<20
Divide both sides by 10 Then you get your answer
If I have a circle that is 12 in in diameter and it's cold and a half and then folded in half again what is the area of the resulting shape and what is how do I write out the equation
Answer:
A= πr^2/4Step-by-step explanation:
Step one:
given data
diameter of circle= 12 in
the radius is r=d/2=6in
the area of the circle is
A=πr^2
A=3.142*6^2
A=3.142*36
A=113.1in^2
If the circle is folded in half, the area will be A/2= 113.1/2= 56.55in^2
In the corresponding shape is folded again the area is A/4= 28.3in^2
The expression for the last shape is
A= πr^2/4
The diameter of a circle measures 32 ft. What is the circumference of the cirle? Use 3.14 for n, and do not round tour answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
circumference=
π*d
3.14x32
=100.48
Determine the area of squre ABCD with AB=3cm
Answer:
Area: [tex]9 cm^{2}[/tex]
Step-by-step explanation:
Since all sides of a square have equal lengths, the area of the square is [tex]a^{2}[/tex] (a = length of a side).
Since the length of the side of the square is given (is 3cm), the area of the square is [tex](3cm)^{2}[/tex] = [tex]9cm^{2}[/tex]
Answer:
9
Step-by-step explanation:
3 by 3 is 9
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 25 ounces of potato chips for $3.49
Choice B: 45 ounces of potato chips for $4.79
a
Choice A
b
Choice B
c
The unit rates are equal.
d
The unit rates cannot be determined.
Answer:
B)
Step-by-step explanation:
A 25 ounce bag would cost about 14 cents per oz and the 45 ounce bag would cost about 11 cents per oz
Jennifer says the quadrilaterals below must be congruent because their angles are congruent. Is she correct?
I've attached the complete question withe the 2 quadrilaterals.
Answer:
Jennifer is not correct because equal angles alone is not a proof of congruency.
Step-by-step explanation:
Now, in test for congruence, we use any of the following criteria;
SSS: Side - Side - Side
SAS: Side - Angle - Side
ASA: Angle - Side - Angle
AAS: Angle - Angle - Side
RHS: Right angle - Hypotenuse - Side
The assumption in the question is that all the angles are equal to determine that the quadrilaterals are congruent.
However, we don't use AAA(Angle - Angle - Angle theorem) as a congruence proof because it's very possible to have all the internal angles equal and yet all the corresponding sides don't have the same length.
Thus, Jeniffer is not correct.
In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?
Answer:
At most 8 hours
Step-by-step explanation:
Given
[tex]Maximum = -20F[/tex]
[tex]Rate = 6.5/hour[/tex]
[tex]Base\ Temperature =-72F[/tex]
Required
Determine the time taken
Represent time by t.
The relationship between all parameters is:
[tex]Maximum = Base\ Temperature + Rate * t[/tex]
[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]
This is so (≤) because, according to the question, the temperature can not exceed the maximum.
So, we have:
[tex]-72 + 6.5*t \leq -20[/tex]
[tex]-72 + 6.5t \leq -20[/tex]
Collect Like Terms
[tex]6.5t \leq -20 + 72[/tex]
[tex]6.5t \leq 52[/tex]
Solve for t
[tex]t \leq 52/6.5[/tex]
[tex]t \leq 8[/tex]
Hence, they have at most 8 hours
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
Answer:
Step-by-step explanation:
y=1/2-5x
Answer:
y = -1/3x - 5Step-by-step explanation:
Using points on the graph to get the equation
Slope intercept form:
y = mx + bFrom the graph, point (0, -5) we can see y-intercept is b = -5
An calculating the slope using two points (-6, -3) and (6, -7):
m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3So the line is:
y = -1/3x - 5Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.
Answer:
C
Step-by-step explanation:
EDGE2021
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
Fritz Benjamin buys a car costing $24600. He agrees to make payments at the end
of each monthly period for 6 years. He pays 7.2% interest, compounded monthly.
What is the amount of each payment? Find the total amount of interest Fritz will
pay.
Answer:
$525.62
$13,244.64
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = principal = $24,600
r = interest rate = 7.2% = 0.072
n = number of periods = 12
t = time = 6 years
A = P(1 + r/n)^nt
= 24,600(1 + 0.072/12)^12*6
= 24,600(1 + 0.006)^72
= 24,600(1.006)^72
= 24,600(1.5384)
= 37,844.64
12 months × 6 years = 72 months
Each monthly payment = Total payment / number of months
= $37,844.64 / 72
= $525.62
Total amount of interest = Total payment - Principal payment
= $37,844.64 - $24,600
= $13,244.64
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answer:
y= 30x
tep-by-step explanation:
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram
Answer:
12
bcz he can't put a 0.725 fish so it will be rounded up back to 12
The greatest number of neon tetra fish he puts in the tank is 12.
What is cuboid?A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.
Given:
Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.
The tank is 55 cm wide, 28 cm long and height is 33 cm.
And the surface of the water in the tank is 3 cm below the top of the tank.
That means,
to determine the volume,
So, the volume of cuboid
= 55 x 28 x 33
= 50820 cubic centimeters.
And we know 1000 cubic centimeters is 1 liter of water.
So, 50820 = 50.820
And divide by 4
We get the greatest number of neon tetra fish he puts in the tank.
50.820 / 4
= 12.705
≈ 12
Therefore, 12 is the required number for neon tetra fish.
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PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA
Answer:
b
Step-by-step explanation:
i just took the test
The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.
The correct option is (1).
What are congruent triangles?Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.
here, we have,
As per the given data:
In ΔABC :
∠A = 63°
AC = 2.2
In ΔFED :
∠F = 63°
FE = 2.2
By using the distance formula, we can find AB and FD.
From the coordinates, as we can see in the diagram
FD = 2 units
Similarly,
AB = 2 units
Now from SAS congruence rule:
AB = FD (Both are 2 units)
∠A = ∠F (given)
AC = FE (given)
Hence, ΔABC ≅ ΔFDE by SAS congruence rule.
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1. 9x - 2 + 7 - X
Terms
Like Terms
Answer:
Hi I can help!!
Step-by-step explanation:
1. Collect like terms.
9x-X+(-2+7)9x−X+(−2+7)
2. Simplify.
9x-X+59x−X+5
3. Get the final answer 8x-9
A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answer:
20 km/h
Step-by-step explanation:
the total time is 0.5 hours as the cyclist travels for 30 minutes
the formula for speed is distance travelled divided by time taken which gives us 20 km/hr
Heloooooppppo
Question 2 of 10
What happens when a country's central bank increases reserve requirements
for banks?
A. Banks are forced to set aside more of their money instead of
lending it.
B. Banks must pay the government interest on all cash they keep on
hand.
C. Banks must pay a higher interest rate to borrow money from the
government
D. Banks are required to sell all of their treasury securities on the
open market
SUBMIT
Answer: Banks are forced to set aside more of their money instead of lending it.
When the country's central bank increases reserve requirements
for banks so here bank should be forced for setting aside.
What are reserve requirements?It is the amount of funds where the bank should hold the reserve to ensure for meeting out the liabilities when the withdrawals should be done. It is applied by the central bank to rise or reduce the money supply and impact the rate of interest.
Hence, When the country's central bank increases reserve requirements
for banks so here bank should be forced for setting aside.
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