Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
Joey is building a frame for a sandbox. The sandbox is going be have the
shape and dimensions below. If the diagonal of the sandbox measures 14
feet, what kind of quadrilateral will the sandbox be? Explain how you know.
Answer:
The quadrilateral would be a rectangle.
explanation:
since opposite sides are equal, the diagonals are bound to equal as well, since the whole point of a diagonal is to go from one point to it's opposite corner.
I hope I helped, And please rate me 5 stars!
Help please, will mark brainliest
Answer:
Step-by-step explanation:
LET ORANGES=X
PEARS ARE 3 TIMES =3X
LET CHILDREN=Y
IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X
X=5Y........................I
IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS
8Y+21=3X....................II
SUBSTITUTING FOR X FROM EQN.I..
8Y+21=3*5Y
15Y-8Y=21
7Y=21
Y=3
X==5Y=5*3=15..
SO CHILDREN =3
ORANGES=15
PEARS=3*15=45
THANKYOU AND PLEASE AMRK IT BRAINLIEST
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31
Answer:
The answer is a
Step-by-step explanation:
Becuase its right
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be: [tex]4b\leq 96[/tex]
A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?
Answer:
4000 N
Step-by-step explanation:
this question should be in physics actually
m = 1200 kg
initial velocity = vo = 15 m/s
final velocity = vt = 0 because it stops
time needed = t = 4.5
so we can find the Force F by these step
first find deacceleration
vt = vo + at
0 = 15 + a(4.5)
15 = -4.5a
a = - 15/4.5 = - 10/3 = - 3.33 m/s²
F = m.a = 1200 . 10/3 = 4000 N
Line a is parallel to line b. If the measure of <2 is 78, what is the measure of <5
Step-by-step explanation:
x + 78 = 180
x = 180 - 78
x = 102° for <5
The sum of three consecutive integers is 270. Find the integers
Answer:
Step-by-step explanation:
89,90,91
Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
find the values of x and y
Answer:
x = 85 Degrees
y = 85 Degrees
Step-by-step explanation:
20 Degrees + 90 Degrees -->
90 and 20 are given => 110 Degrees
e triangle angles sum = 180 Degrees
180 - 110 = 70 Degrees
=> Vertical angles so 25 + x + 70 = 180
x = 85
x + (z) = 180 e sum of half 360
85 + z = 180
z = 95 Degrees
--> z + (y) = 180 e same as above (sum of interior angles)
95 + y = 180
y = 85
Hope this helps!
Solve x+ y = 5 and 2 x - y = 3
Answer:
[tex] x=\frac{8}{3}\: \: y=\frac{7}{3}[/tex]
Step-by-step explanation:
Add the two equations:
$ x+y +(2x-y)=5+3$
$\implies 3x=8$
$\implies x=\frac{8}{3}$
Use this value in the first equation:
$\frac{8}{3}+y=5$
$\implies y=\frac{15-8}{3}=\frac{7}{3}$
Answer:
x + y = 5 Equation 1
2x-y = 3 Equation 2
Add both Equations
y will be eliminated so it will be
3x = 8
x = 8/3
Substitute x into equation 1
8/3 + y = 5
y = 5 - 8/3
y= 7/3
x = 8/3 y = 7/3
PLS HELP ME GUYS I NEED HELP WITH GEOMETRY
Answer:
7, -21
Step-by-step explanation:
F could be located 14 to the left of -7 or 14 to the right of -7. 7 and -21 could be the possible locations of F.
(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
Step-by-step explanation:
-3.25a+4a=2-5
0.75a=-3
a = -4
Tell me if its right
1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer
Answer:
3
Step-by-step explanation:
1/2(8+6)-2=4+x-2
1/2*14 -2 = 2+x
7-2=2+x
5=2+x
x=5-2
x=3
Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9
Answer:
-36x +9
Step-by-step explanation:
-12 (3x-3/4)
Distribute
-12*3x - 12*-3/4
-36x +9
Answer:
d
Step-by-step explanation:
PLZ HELP Find the surface area of this rectangular pyramid. 48.5 square inches 48 square inches 31.75 square inches 55 square inches
Answer:
48.5
Step-by-step explanation: i just did the problem
Answer:
48.5 is your answer
Step-by-step explanation:
hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Find the output, y, when the input, x is −4
Answer:
i mean if i was you it would be 4 postive , in my math head
Step-by-step explanation:
Someone with the right answer help me
Answer:
46 degrees.
Step-by-step explanation:
Sin(angle) = 5/7. Using a calculator, this angle is thus 45.6, or approximately 46 degrees.
Jaxon’s mother spends more than 2 hours cleaning the house. The inequality x greater-than 2 represents the situation. Which graph represents the inequality? A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded. A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.
Answer:
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.
Step-by-step explanation:
x > 2 is the inequality
It is open circle at 2 as 2 is not included. Shaded to the right of the circle as it should be greater than 2
------------------
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the right of the circle is shaded.Yes, this is the correct option
A number line going from negative 3 to positive 7. An open circle is at 2. Everything to the left of the circle is shaded.No, it should be right not left
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the right of the circle is shaded.No, it should be open circle as 2 is not included
A number line going from negative 3 to positive 7. A closed circle is at 2. Everything to the left of the circle is shaded.No, it should be open circle and right side to be shaded, not left
Answer:
It's A I did the test. I got 100%.
Step-by-step explanation:
Please give brainliest if it helped you! Thanks, have a great day <3
idk so help pls
10 point
Answer:
30 milk chocolates
Step-by-step explanation:
42 ÷ 7 = 6 - a fraction of the chocolates
6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).
Im not really sure how to answer this
Answer:
part a is the correct answer
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Dot plot because it is true that Ms. Spencer needs to see the individual data values because she wants to the number of students is most common so for example if 6 people have 2 siblings, she would know that 6 people has 2 siblings because she could could the 6 people!
The graph shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3 and 7, 0. Shade the portion of the graph below the line in the first and fourth quadrants.
Answer:
Consider the point (0,3) as point A.
Consider the point (7,0) as point B.
Plot both point on the graph.
Graph a line which passed through both the lines.
There are two conditions given to us in the question.
First condition is the we have to shade the graph below the given line.
The blue region in the graph satisfies this condition.
Second condition is that we have to shade the first and fourth quadrant, which means than the value of x is equal to or greater than zero. Red region satisfies this condition.
As the solution is represented by Both the conditions combined. The purple area satisfies both the conditions, hence solution is given by the Purple Region
The solution is given by the Black Region.
We have two points (0,3) and (7,0)
Plot both point on the graph.
The line passes through two points (0,3) and (7,0)
We have two condition
we have to shade the graph below the given line. The black region in the graph satisfies this condition. we have to shade the region of first and fourth quadrant, which means than the value of x is equal to or greater than zero.Blue region satisfies this condition.
The solution is represented by Both the conditions combined.
The Black region satisfies both the conditions.
Therefore, the solution is given by the Black Region.
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In 1995, the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010, the
USPS reported that they handled 1.7 x 10^11 pieces. How many more pieces of mail were
handled in 1995 than in 2010?
Answer:
[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.
Step-by-step explanation:
We are given that in 1995, the USPS approximated that they handled [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex] pieces.
To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.
Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]
Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]
As it is clear that more pieces of mail were handled in 1995.
So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]
= [tex]10^{11} \times (1.8 -1.7)[/tex]
= [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]
Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
x = 5.5 to the nearest tenth.
Step-by-step explanation:
Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.
The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:
cos 65 degrees = adj / hyp = x / 13, or
x = 13 cos 65
Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.
-5x[tex]\sqrt{3}[/tex]+11=-34
Answer:
-5√3x = -45
√3x = 9
x = 3√3
pls help will mark brainliest
Answer:
[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]
Step-by-step explanation:
[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]
[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]
[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into
[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into
[tex]123456654321 - 12345654321[/tex] subtract turns into
[tex]111111000000[/tex]
Answer: 111,111,000
Step-by-step explanation: Logically it should be that
You get 3 rolls of coins from the bank. Each roll contains $5. You get 1 roll of each dimes, quarters & half dollars. How many coins does he have in all?
Answer:
80 coins
Step-by-step explanation:
dimes:5/0.1=50
quarters:5/0.25=20
half dollars: =5/0.5=10
50+20+10=80
x^2 + 6x + 5 show equation
Answer:
[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]
Step-by-step explanation:
[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]
so
[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]
hope this helps
if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
Find the measure of angle x in the figure below:
to
Answer:
70
Step-by-step explanation:
55 + 55 = 110
180 - 110 = 70
The angle is congruent to 70º
Answer:
70°
Step-by-step explanation:
Angles in a triangle add up to 180°.
180° - 55° - 55° = 70°
Vertically opposite angles, so x° = 70°.
Find the average rate of change of the function
f(x) = x² + 9x from x1 = 1 to x2 = 5.
Answer:
15
Step-by-step explanation:
The function is;
f(x) = x² + 9x
We are to find the average rate of change from point [tex]x_{1}[/tex] = 1 to point [tex]x_{2}[/tex] = 5
Average rate of change = [tex]\frac{f(x+h) - f(x)}{h}[/tex] where h is the change in x-axis
When x = 1 , f(x) = 1² + 9(1) = 10
When x = 5, f(x) = 5² + 9(5) = 70
f(x + h) - f(x) = 70 - 10 = 60
h = 5 - 1 = 4
So average rate of change = [tex]\frac{60}{4}[/tex] = 15
The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to
x₂ = 5 will be 15.
What is Average rate?
The average rate change is defined by divide the change in y - values by the change in x - values.
Given that;
The function is defined as;
⇒ f(x) = x² + 9x ; from x₁ = 1 to x₂ = 5
Now,
The formula for the average rate change is given as;
Average change = f (x + h) - f (x) / h
Where, h is change in x - axis.
Since, The function is;
f(x) = x² + 9x
When, x₁ = 1
f(x) = x² + 9x
f(1) = 1² + 9
f (1) = 10
When, x₂ = 5
f(x) = x² + 9x
f(x) = 5² + 9 x 5
f (5) = 25 + 45
f (5) = 70
So, Average change = f (x + h) - f (x) / h
Average change = 70 - 10 / (5 - 1)
= 60 / 4
= 15
Thus, The average rate of change of the function f(x) = x² + 9x from x₁ = 1 to x₂ = 5 will be 15.
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