[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]
[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]
[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]
[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]
[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]
[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]
[tex]\mathsf{= \dfrac{40}{1}}[/tex]
[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
[tex]\frak{Amphitrite1040:)}[/tex]
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12
Answer: The height of street sign = 15
Step-by-step explanation:
At the same time, the angle made by the light on each object is the same.
Pole and street sign both standing vertical to the ground.
So triangle made by both of them are similar
The sides of similar triangles are proportional,
[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]
Hence, the height of street sign = 15
Which of the following equations has exactly one solution?
Answer:
A and B
Step-by-step explanation:
simplify both sides of the equation
add 4x to both sides subtract 3 from both sides. Divide both sides by 9 and that's it
If the equation given a unique and single value of variable after solving then the equation is said one solution equation.
The equation which has only one solution are,
[tex]5x+3=-2(2x+3)[/tex]
Thus, the option C is the correct option.
How to find one solution of equation?
If the equation given a unique and single value of variable after solving then the equation is said one solution equation.
Such equation gives exactly one solution.
Given information-
To find the equation we have to solve each equation one by one.
A)The equation given in the problem is,[tex]-7x+2&=-3(x-3)-4x-7\\[/tex]
Solve it further,
[tex]-7x+2&=-3x+9-4x-7\\-7x+2&=-7x+2\\.\;\;\;\;\;\;\;\;\;\;\;0=0[/tex]
Thus this equation has no solution. Hence the option A is the incorrect option.
B)The equation given in the problem is,[tex]14x&=7(2x+2)[/tex]
Solve it further,
[tex]14x&=14x+14\\.\;\;\;0=14[/tex]
Thus this equation has no solution. Hence the option B is the incorrect option.
C)The equation given in the problem is,[tex]5x+3=-2(2x+3)[/tex]
Solve it further,
[tex]5x+3=-(4x+6)\\5x+3=-4x-6[/tex]
Bring the same variable terms one side.
[tex]5x+4x=-6-3\\9x=-9\\x=-1[/tex]
As the expression of equation gives the value of variable which is -1.Thus this equation has one solution.
Hence the option C is the correct option.
D)The equation given in the problem is,[tex]3(4x+2)-9=12x-3[/tex]
Solve it further,
[tex]12x+6-9=12x-3\\2x-3=12x-3\\.\;\;\;\;\;\;\;0=0[/tex]
Thus, this equation does not has one solution.
Hence the option D is the incorrect option.
Hence the equation which has only one solution are,
[tex]5x+3=-2(2x+3)[/tex]
Thus, the option C is the correct option.
Learn more about the solution of equation here;
https://brainly.com/question/21283540
really need help asap!!
Answer:
Step-by-step explanation:
the parallelogram will have equal distances from center to along each diagonal. It is hard to explain with words and not being able to draw it.
So 2a+ 14 = 5a - 4 and a = 2b
solve the frist equation for a then the second equation for b
2a+ 14 = 5a - 4
18 = 3a
6 = a a = 2b 6 = 2b
3 = b
The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :
Answer: length = 10 yards
Width = 4.5 yard
Step-by-step explanation:
Let the width be represented by x.
Since the length of a rectangle is 1 yd more than twice the width. This will be:
= (2 × x) + 1
= 2x+1
Area = 45
Note that length × breadth = Area
(2x + 1) × x = 45
2x² + x = 45
Equate the equation to 0
2x² + x - 45 = 0
2x² + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9) = 0
2x = 9
x = 9/2
The width is 4.5 yard
Length = 2x + 1
= 2(4.5) + 1
= 9 + 1
= 10 yard
Taylor went shopping for a new camera. Sales tax where she lives is 4.5%. The price of the camera is $28. Find the total price including tax. Round to the nearest cent.
Answer:
I think the answer would be 29.30 . good luck ^^
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
the differences of 4 and a number x is 14
Answer:
x=18
Step-by-step explanation:
x-4=14
+4 +4
x=18
A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
pleas help meeeeeeeee !!
Which expression can be used to find measure angle R
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]
Help me please! I need this done quick!
Answer:
1. 15
2. 26
3. [tex]\sqrt{58[/tex]
4. 8
5. 6[tex]\sqrt{15[/tex]
6. [tex]\sqrt{2[/tex]
7. [tex]\sqrt{377[/tex]
8. 18
9. x = [tex]\sqrt{106[/tex]
y = [tex]\sqrt{34[/tex]
Step-by-step explanation:
IM TIRED DO I HAVE TO EXPLAIN?
A. (0,5)
B. (0,2)
C. (-1,3)
D. (-3,-1)
Answer:
(0,5)
x,y
Step-by-step explanation:
Pls Help Asap pls T^T
Answer: think its c
Step-by-step explanation:
I believe the answer is 18%
Solve the system of equations by substitution.
x+y= 0
2x+3y= 3
A. (-3,3)
B. (3,-3)
C. (-1,1)
D. (1,-1)
Answer:
the answer is Option A) ( -3, 3)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
( -3, 3)
Examine the diagram. A triangle has angles A, 15 degrees, 80 degrees. The exterior angle to angle A is B. What is the sum of the remote interior angles? ° What is the measure of ∠A? m∠A = ° What is the measure of ∠B? m∠B = °
Answer:
m<A = 30degrees
m<B = 70degrees
Step-by-step explanation:
Find the diagram attached
From the diagram;
m<A + 150 = 180
m<A = 180 - 150
m<A = 30degrees
Also since the sum of angles in a triangle is 180degrees, hence;
m<B+m<A + 80 = 180
m<B+30+80 = 180
m<B+110 = 180
m<B = 180 - 110
m<B = 70degrees
Answer:
C 95
A 85
C 95
Step-by-step explanation:I GOT IT RIGHT TRUST ME
can anyone help me???
Answer: think A
Step-by-step explanation:
If you apply the changes below to the linear parent function ,f(x)=|x| over the x-axis what is the equation to the new function
Answer:
Answer: A. G(x)= ax=y= - f(x) is flip over x-axis. Therefore, f(x) =14x would become f(x) =-14x. Therefore, final transformed function f(x)=-14x is vertically stretch by a factor of 14 and flip over the x-axis.
Step-by-step explanation:
Please help me best one gets brainlist and 5/5
Answer:
8
Step-by-step explanation:
Area π 1.5^2 = 7.07cm^2
Volume = 56.52 /7 = 8cm
So go for the 4th answer = 8
Identify a function rule for the following ordered pairs:
{(0,-4), (2,0), (3, 2), (4,4)}
A)
y= x
B)
y= X-4.
C)
y= x-1
D)
y= 2x-4
i need help please!
what fraction divided by 3 over 4 equals 1 over 6
Answer:
1/8
Step-by-step explanation:
1/8 ÷ 3/4
1/8 × 4/3
1/2 × 1/3 = 1/6
Order these numbers from least to greatest. 7.63, 7.6032, 7.6,
Answer:
7.6032,7.63,7.6
Sorry if I am wrong.
Step-by-step explanation:
get me the answer and explain
1. Write the expression:
(1.75 x 10^)(1.2 x 102)
2. Rearrange the expression: (1.75 X 1.2)(104 x 103)
3. Multiply the coefficients: (2.1)(104 x 103)
4. Apply the product of powers: 2.1 x 104
The rocket ship will travel 2.1 x 109 miles. What is the value of y in the solution?
y = 1
Complete question is;
A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?
1. Write the expression: (1.75 × 10⁴)(1.2 × 10²)
2. Rearrange the expression: (1.75 × 1.2)(10⁴ × 10²)
3. Multiply the coefficients: (2.1)(10⁴ × 10²)
4. Apply the product of powers: 2.1 × 10^(y)
The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?
Answer:
Distance travelled by rocket ship = 2.1 × 10^(6) miles
y = 6
Step-by-step explanation:
1. The written expression;
(1.75 × 10⁴)(1.2 × 10²)
2. The rearranged expression is;
(1.75 × 1.2)(10⁴ × 10²)
3. Let's multiply the coefficient which is the first bracket to get;
2.1(10⁴ × 10²)
4. Applying the product of powers means we will add the powers of ten which are 4 and 2.
Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles
Comparing to 2.1 × 10^(y), we have;
y = 6
Need help math question worth 30 points help plzzzzzz
Answer:
c
Step-by-step explanation:
because the real awnser is 57/4 but simpfly
Answer:
C) [tex]14\frac{1}{4}[/tex]
explanation:
[tex]4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}[/tex]
dar el perímetro de un círculo con diámetro de 8.
dar el area de un círculo dado el radio de 12
Le cratère d’un volcan a la forme d’un cône ; le fond du cratère est comblé de sédiments, un lac constitue la partie supérieure.
1) Le cône rempli de sédiments est une
réduction du grand cône. Calculer le
coefficient de réduction. DEJA REPONDU
2) Calculer le volume du cratère. DEJA REPONDU; le volume fait 2661845 m
3) En déduire le volume des sédiments.
4) Quel est le volume d’eau dans ce lac ?
Help please and Thanks :))
16. The boys' soccer to a bouchoccer ball conoccer balls for $391. If the team bought a total of 17
soccer balls, how much did each soccer ball cost?
A. $21
B. $23
C. $374
D. $408
Answer:
The answer is B $23.
Step-by-step explanation:
You take 391 and divide it by 17
391/17=23
Hope this helps!