Given:
The expression is
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
To find:
The value of the expression.
Solution:
We have,
[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]
It can be written as
[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]
[tex]=\dfrac{10+(6)^2}{2}[/tex]
[tex]=\dfrac{10+36}{2}[/tex]
[tex]=\dfrac{46}{2}[/tex]
[tex]=23[/tex]
Therefore, the value of the given expression is 23.
The integer to represent a gain of 9 pounds would be ______.
Answer: -9
Step-by-step explanation:
a tree with a height of 4 m cast a shadow 16 m long on the ground. how high is another tree that a shadow which is 20 m long
Answer:
5m
Step-by-step explanation:
helppp i have this test due soon :C
Answer: D.)
Step-by-step explanation:
Add the rates. 3:1 (3+1)=4
multiply it to the rate. 3(4), 1(4) = 12 and 4
Side a is 12 inches long and side b is 4 inches long.
Leila (y) is 3 years older than her sister Joan (x). The equation x+3=y
gives Leila's age. What is the dependent variable?
Answer:
y
Step-by-step explanation:
The value of y is dependent on the value of x+3 because y represents leilas age.
Answer
3x+y
Step-by-step explanation:
Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from her salary. Jasmine has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
Just the equation
Select all that apply.
Which graphed lines represent direct variation functions?
line d
line b
line c
line a
Answer:
Hope this helps~
Step-by-step explanation:
Look at the graph they gave you. ... At first it looks like an ugly mess.
But look closer. There are only two lines there that go through the origin,
so one of those is the answer to the question.
Now let's talk about the slope of a line.
-- If the slope of a line is positive, that means it rises as it goes.
If you walk the graph from left to right, you're climbing.
-- If the slope of a line is negative, that means it falls as it goes.
If you walk the graph from left to right, you're going down-hill.
The equation they gave you is [ y = 1/2 x ].
The slope is 1/2 . That's positive.
The line on the graph slopes up. To walk it, you have to climb.
In the picture, that can only be line 'c' .
Answer:
The equation they gave you is [ y = 1/2 x ].
The slope is 1/2. That's positive.
The line on the graph slopes up. To walk it, you have to climb.
There are 4 consecutive odd integers that sum to 344. Which integers are they?
Answer:
The consecutive odd integers are 83, 85, 87 and 89.
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 344
4x + 12 = 344
4x = 344 - 12
4x = 332
x = 332/4
x = 83
x + 2 = 85
x + 4 = 87
x + 6 = 89
Hope this helps
A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.
Answer:
8 cm
Step-by-step explanation:
A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.
Solution:
Since the radius of the circle is 13 cm, hence:
BF = BD = BE = 13 cm.
For line segment BE; BE = BC + CE
BE = BC + CE
13 = BC + 1
BC = 13 - 1
BC = 12 cm
AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)
Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:
BD² = AB² + AD²
13² = AB² + 12²
169 = AB² + 144
AB² = 169 - 144
AB² = 25
AB = √25 = 5
For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:
BF = AB + x
x = BF - AB
x = 13 - 5
x = 8 cm
What is the circumference of the circle with a diameter of 10 inches using ≈ . ?
Answer: 31.4
Step-by-step explanation:
C=πd
C=π×10
C=10π
C=31.4
what is 52cm as a fraction of 90cm? (as a simplified fraction)
and what is 30L as a fraction of 110L? (as a simplified fraction)
!plis help me quick bc i got 20 minutes left to hand it in to my teacher!
Answer:
[tex]\frac{26}{45}[/tex] and [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
(a)
Expressing as a fraction
[tex]\frac{52}{90}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{26}{45}[/tex] ← in simplest form
(b)
Expressing as a fraction
[tex]\frac{30}{110}[/tex] ( divide numerator/ denominator by 10 )
= [tex]\frac{3}{11}[/tex] ← in simplest form
find
[tex]x + y + z[/tex]
[tex]x = 70 digree [/tex]
[tex]z = 40digree[/tex]
[tex]find y[/tex]
Answer:
x = 110
y = 110
Step-by-step explanation:
Here, we are going to apply an important triangle property
The sum of opposite interior angles equal the exterior angle of the third side
Thus, we have that;
y = 70 + 40 = 110
As we can see, the third angle in the triangle will be;
180-70-40 = 110
This is because sum of angles = 180
Thus, applying the exterior angle relationship,
x = 70 + 40 = 110
Jackson invested $8,800 in an account paying an interest rate of 7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 13 years?
Answer:
$21,860
Step-by-step explanation:
The amount after 3 years will be $ 21,206.6
To understand more, check below explanation.
Compound interest:If the amount P is invested at the rate of r% for n years.
Then amount after n years is computed as;
Given that, Principal = $8,800 , r = 7% and n = 13 years.
[tex]A=P(1+\frac{r}{100} )^{n}\\ \\A=8800(1+\frac{7}{100} )^{13} \\\\A=8,800*(\frac{107}{100} )^{13}\\ \\A=\$ 21206.6[/tex]
Hence, the amount after 13 years will be $ 21,206.6
Learn more about the compound interest here:
https://brainly.com/question/24924853
A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?
Answer:
11 dollars
Step-by-step explanation:
If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours
Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 down
and a payment plan of $20 per month. The payment plan for a second store is described by y - 15x + 79,
where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the
camera is paid off in 12 months? Complete the explanation.
Answer:
Step-by-step explanation:
Cost of the camera at one store,
Down payment = $49
Per month payment = $20
Duration of the payment = 12 months
Total payment to be done = down payment + payments to be done in 12 months
= 49 + (20×12)
= 49 + 240
= $289
Cost of the camera at second store,
Equation describing the payment plan,
y = 15x + 79
Here, x = number of months
y = Total amount to be paid
If x = 12 months
y = (15×12) + 79
y = 180 + 79
y = $259
The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.
Find a point-slope form for the line with slope
1/2 (1 over 2) and passing through the point (−1,−6).
Answer:
It is Third quardant in Graph
Write an equation of the line that passes through the points (-3,-9) and (5.-9).
y =
There are 30boys in a sporting club 20of them play hockey and 15 play volley ball each boy plays atleast one of the true game.illustrate the information of a Venn diagram. How many boys play hockey and volley ball
A possible diagram to illustrate the situation is two circles that intersect, the circle marked as hockey includes the number 10, the circle marked as volleyball includes the number 15 and the intersection includes the number 5 (as you can see in the attachment).
What is a Venn Diagram?This is a diagram that uses circles and their intersections to illustrate the number of individuals in groups.
How to make a Venn Diagram?In this case, the Venn Diagram should include the following information:
Two circles, one circle tagged as hockey and the other tagged as volleyball.The number 10 in the hockey circle, number 15 in the volleyball circle, and number 5 in the intersection (10+5+15= 30)Learn more about Venn diagrams in https://brainly.com/question/29301560
#SPJ1
Please help me with 1, 2, 3, and 4. Please.
Answer:
on the picture
hope it's helpful ❤❤❤
THANK YOU
I need help solving this
Answer:
Line B & C
Step-by-step explanation:
Parallel lines have the same slope.
Lines B and C have the same slope.
You can see that for both lines B and C that each time the line goes through an exact point, they line up.
If 850 students go to the school, about how many students prefer burgers?
Answer:
340 students prefer burgers.
Step-by-step explanation:
144 is 40% of 360.
Multiply 850 by 40% to find how many students prefer burgers.
850 x 0.4 = 340
45/27=x/3 solve for x pls help
Answer:
x = 5
Step-by-step explanation:
hope this helps!!
Answer:
x=5
Step-by-step explanation:
5/3=45/27
HELP PLS ITS DUE IN AN HOUR
Answer:
MP7
Step-by-step explanation:
Answer:
6 < sqrt(41) <7
Step-by-step explanation:
6^2 = 36; 36 < 41
7^2 = 49; 49>41
What is the slope? (IXL)
Answer:
5/3
Step-by-step explanation:
What is the value of -2(x + 3)
I also need help on this one
Answer:
A
Step-by-step explanation:
27-9=18
18=18
5(27)=135
135=135
Write the equation in slope-intercept from if the slope is - 2/3 and the y-intercept is 5
Answer:
y=-2/3x+5
Step-by-step explanation:
simplify the ratio 84: 36: 108: 60
Answer:
A) 7 : 3
B) 7 : 4
Step-by-step explanation:
84 : 36
Simplified:
42 : 18 ( divided by 2)
21 : 9 ( divided by 2)
7 : 3 ( divided by 3)
7 : 3
108 : 60
35 : 20 ( divided by 3)
7 : 4 ( divided by 5)
7 : 4
Write down the first five terms of the sequence which has the n th term
Answer:
2
A) 12
B) 18
C) 20
D) 11
E) 25
F) 33
Step-by-step explanation:
because the next of the 10 is 12
The equation sin (40 degree) equals StartFraction b Over 20 EndFraction can be used to determine the length of line segment AC.
What is the length of ? Round to the nearest tenth.
Answer:
B. 12.9cm
Step-by-step explanation:
I presume we are asked to find the length of b
did I follow the instructions on how it told me to answer this question
Answer:
did I follow the instructions on how it told me to answer this question
Step-by-step explanation:
No? wouldn't it be $10.50???