Answer: x-2
Step-by-step explanation:
Given
The present age of Cheryl is x years
Father's is 24 years older than Cheryl i.e. x+24
her brother is 2 years younger than her i.e. Present age of Cheryl - 2 years
=(x-2) years
Estelle is helping at a community food drive by boxing up cans of soup. There are two sizes of boxes, large and small. Estelle fills 3 large boxes and 5 small boxes with 170 soup cans total. The boy working next to her fills 4 large boxes and 4 small boxes with 184 soup cans total. How many cans does each small box hold?
Answer:
The small box contains 21 cans
Step-by-step explanation:
Represent the small box with S and the large with L.
For Estelle:
[tex]3L + 5S = 170[/tex]
For the boy:
[tex]4L + 4S = 184[/tex]
Required
Determine the cans in the small box
[tex]3L + 5S = 170[/tex] --- (1)
[tex]4L + 4S = 184[/tex] --- (2)
Divide (2) through by 4
[tex]L + S = 46[/tex]
Make L the subject
[tex]L = 46 -S[/tex]
Substitute 46 - S for L in (1)
[tex]3L + 5S = 170[/tex]
[tex]3(46 - S) + 5S = 170[/tex]
Open bracket
[tex]128 - 3S + 5S = 170[/tex]
[tex]128 + 2S = 170[/tex]
Collect Like Terms
[tex]2S = 170-128[/tex]
[tex]2S = 42[/tex]
Divide both sides by 2
[tex]S = 21[/tex]
Hence, the small box contains 21 cans
Michael opened a savings account at an annual interest rate of 5%. At the end of 3 years, the account balance is $4630.50. If Michael did not add any other amounts to this account, how much was his initial deposit?
Answer:
$4026.52
Step-by-step explanation:
Given data
rate= 5%
time= 3years
A=$4630.50
P=?
we know that
A=P(1+rt)
$4630.50=P(1+0.05*3)
$4630.50=P(1+0.15)
$4630.50=P(1.15)
P=4630.50/1.15
P=$4026.52
The intitial amount is $4026.52
what is 9(3y+2z) as a equivalent expression
Answer:
27y + 18z
Step-by-step explanation:
9(3y+2z)
Distribute the 9
9 * 3y + 9* 2z
27y + 18z
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image
of the point.
Answer: (-5,-5) --> (-x,-y)
Step-by-step explanation:
90 degree rotation: (-y,x)
180 degree rotation: (-x,-y)
270 degree rotation: (y,-x)
A triangle with a base of 9 m has an altitude of 12 m which would give you the area of the tranigle
Answer:
A=54
Step-by-step explanation:
A=hb/2
h=12 b=9
12x9=108
108/2
54 Area=54
SOMEONE PLS HELP WIL MARK U BRAINLIEST
determine the total numbers of zero
f(x) = 23 – 3x2 – 2x + 6
Answer:
f(x) = 29
Step-by-step explanation:
f(x)=23-(3x0)-(2X0)+6
f(x)=23+6
f(x)=29
For a craft project, two equilateral triangles are taped together to create a quadrilateral.
2 equilateral triangles are connected at one side to create a quadrilateral with congruent side lengths.
What is the quadrilateral?
rhombus
rectangle
trapezoid
square
Answer its rhombus
Step-by-step explanation: i took the test
The quadrilateral formed by the taping together of two equilateral
triangles is a rhombus.
How can the type of quadrilateral formed be known?The given types of triangles that form the quadrilateral are equilateral
triangles.
Given that the triangles have congruent side lengths, we have;
1) The side lengths of the quadrilateral formed are equal.
2) A pair opposite angles of the quadrilateral formed are equal to the interior angle of an equilateral triangle which is 60°.
3) The other pair of opposite angles are also equal to 60° + 60° = 120°.
The altitude of an equilateral triangle is perpendicular to the base.
Which gives;
4) The diagonals bisect each other at right angles.
Therefore;
The adjacent angles are supplementary
Which gives;
5) The opposite sides are parallel.
The above properties are the properties of a rhombus
Therefore;
The quadrilateral formed is a rhombusLearn more about rhombus here:
https://brainly.com/question/927171
5, ?, 10, 12 and 1/2
The Freeman Family is barbecuThe Freeman Family is barbecuing veggie burgers corn on the cob and mushroom caps in the local park if 3/8 of the items barbecued or veggie burgers and 1/3 of the item barbecue or call in the car with friction or barbecue items are mushroom caps
Answer:
7 by 24 of barbecue items would be considered as mushroom caps
Step-by-step explanation:
The fraction of barbecue items considered as mushroom caps is given below:
Let us assume the number of barbecue items be x
So,
x = Veggies burgers of barbecue + corn cobs of barbecue + mushroom caps of barbecue
Now
Veggies burgers of barbecue = (3 ÷ 8)x
corn cobs of barbecue = (1 ÷ 3)x
And, we assume the mushroom caps of barbecue be y
Now the equation would be
x = (3 ÷ 8)x + (1 ÷ 3)x + y
Now multiplied by 24 to both the sides
24x = 9x + 8x + 24y
24x = 17x + 24y
24y = 24x - 17x
24y = 7x
y = (7 ÷ 24)x
This means that 7 by 24 of barbecue items would be considered as mushroom caps
You just drove your car 500 miles and used 20 gallons of gas. You know that the gas tank on your car holds 15 1/2 gallons of gas. What is the most number of miles you can drive on one tank of gas
Answer: 387 1/2 miles
Step-by-step explanation:
From the question, we know that 20 gallons can be used for 500 miles. Therefore, the gallons of gas per mile will be:
= 500/20
= 25 gallons per mile.
The number of miles that a 15 1/2 gallons will use will be:
= 25 × 15 1/2
= 387 1/2 miles
Can some one help me on this pls :(
Answer:
Step-by-step explanation:
1= 2/3
2=5/6
3=21/40
4= 2 11/20
5= 1 1/3
6=5/6
7=1 1/2
8=9/10
9= 5 1/6
10= 2 1/2
due in 1-hour PLZ HELP!!! Samuel orders four DVDs from an online music store. Each DVD costs $9.37. He has a 25% discount code, and the sales tax is 6.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
Answer: 36.24
Step-by-step explanation:
I need help NOW please and if you can, go to my other questions and try to help me out with those tooo!!!!!!!
Answer:
B. y = sinx
Step-by-step explanation:
kasi yan ang "Tamang Sagot"
Use the equation below to find T, if w= 70, m= 11, and a = 3.
T=w-ma
T =
LI
Х
?
I need help
Let a and b represent real numbers greater than zero. Which quadrant contains the point (a,b)
Answer:
Quadrant 1
Step-by-step explanation:
Since a and b are both greater than zero and are real numbers, they are both positive. The only quadrant that can contain a point with positive values for both x and y is Quadrant 1.
The Opposite Of The Opposite Of $800 Is $800. Is His Reasonign correct?
Explain
Answer:
umm... i belive yes.
Step-by-step explanation:
this is beacuse..
800 opposite wold be -800 right
and then the opposite of -800 wold be 800
so 800 is equal to 800 cus ya
so yes i belve that this is true.
Jazmin cuts two pieces of construction paper, the first piece is 44 cm and try other is 33cm. She wants to cut the paper into strips that are equal . How wide should Jazmin cut each strip?
Answer:
11 cm
Step-by-step explanation:
Obtain the lowest common multiple of the first piece and the second piece :
Multiples of :
44 : 1, 2, 4, 11, 22, 44
33 : 1, 3, 11, 33
From the multiples above :
The lowest multiple common in both 44 and 33 is 11.
Hence, Jazmin can cut each strip to a width of 11 cm
Kristy went shopping and spent $31 on shorts. If she spent $34 total, what percentage did she spend on shorts? Round your answer to the nearest percent.
Answer:
91%
Step-by-step explanation:
If the total is 34, she spent 31/34 dollars on shorts. Divide this and you get 0.91
To make this a percent, move the decimal two places to the right (multiply by 100). Your final answer is 91%
If Hannah can drive 20 miles in 4 minutes, what is her unit rate in miles per minute?
Answer:
5 miles per minute
Step-by-step explanation:
20/4 = 5miles
5 miles / minute
Hannah has a stickers she splits them evenly among 6 envelopes what expression shows how many stickers is in the envelope
Answer:
a/6
Step-by-step explanation:
Hannah has a total of "a" stickers.
Then, she divides the stickers into 6 envelopes, we can think of the envelopes as "groups".
This is what is called a quotient, and it is written as:
a/6
This is the number of groups of 6 elements of a, and in this case, represents the number of stickers that we will have in each one of the 6 envelopes.
Fiona drives for 4 hours.
Her average speed is 25.5 mph.
How far does Fiona drive?
Answer:
102 is the answer
Step-by-step explanation:
i hope I'm correct
What is the volume of the rectangular prism?
Help please
Answer:
I forgot what volume is, but I think 30?
How many 1/3inch cubes does it take to fill a box with a width of 2 2/3inches, Length 3 1/3, and height 2 1/3inches?
Answer:hope this helps
Thus, it takes 560 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
Step-by-step explanation:
Find the value of x.
9514 1404 393
Answer:
x = 110
Step-by-step explanation:
The sum of exterior angles of any (convex) polygon is 360°.
x + 140 +110 = 360
x = 110 . . . . . . . . . . . . subtract 250
What is the slope of the line shown in the graph
A). -1
B). -2
C). -1/2
D). 2
Answer:
-2
Step-by-step explanation:
Please help me ASAP!!!
Answer:
Correct ones:
3ab = 10
m + 5 = 24
72 = 8p
Step-by-step explanation:
round 7,604 to the nearst thousand
Answer:
8,000
Step-by-step explanation:
Can someone please help me with this problem! Hurry I need this answered by 11:59 it's currently 10:25 where I am located! I will also mark you are brainlest.
Answer:
Plot a point at (0, -9) Then go up five units and to the right 3 units.That will give you the line you are looking for
Suppose that an Individual has a body fat percentage of 18.8% and weighs 127 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
pounds
Answer:
14.8 pounds
Step-by-step explanation:
Here, we want to get the actual value made of fat from the body weight
What we have to do here is to multiply the percentage by the body weight
Mathematically, we have this as;
18.8% of 127 pounds
= 18.8/100 * 127 = 14.80 pounds
