Answer:$24
Step-by-step explanation:
On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance between the mall and movie theater?
Answer:
33.5 km
Step-by-step explanation:
If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.
(hope this helps :P)
Answer:
33.5 km
Step-by-step explanation:
1/5 = 6.7/x
cross multiply and solve
5 × 6.7 = 33.5
Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No
Answer:
No.
Step-by-step explanation:
For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.
Now we have two equations. y=x+z, and z=0.1x.
For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.
We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.
Find the perimeter of the figure to the nearest hundredth.
Answer:
Perimeter of figure is 31.85 inches
Step-by-step explanation:
We have a rectangle and semi-circle in the figure.
First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.
First find perimeter of rectangle
The formula used is: [tex]Perimeter\: of\: rectangle=2(length+width)[/tex]
We have width = 7 in
length = 5 in
The perimeter is:
[tex]Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in[/tex]
The perimeter of rectangle = 24 in
Now, finding perimeter of semi-circle
The formula used is: [tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}[/tex]
Wee have diameter d = 5 in
So, perimeter is:
[tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in[/tex]
So, Perimeter of semi-circle= 7.85 in
Now, finding Perimeter of figure
Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle
Perimeter of figure = 24 + 7.85
Perimeter of figure = 31.85 inches
So, Perimeter of figure is 31.85 inches
Plant Type Number tomato 8 squash 4 cucumber 16 rosemary 22 he The table above shows the number of each type of plant in Robert's garden. What is the ratio of the total number of plants in Robert's garden to the number of tomato plants? OA. 25:2 OB. 25:8 OC. 25:4 OD 23:2
Answer:
C. 25:4
Step-by-step explanation:
Total number of plants in Robert's garden = 8 + 4 + 16 + 22
= 50
Number of tomato plants in Robert's garden = 8
Ratio of total number of plants to the number of tomato plants = 50 : 8
Simplify
50 : 8 = 25:4
PLEASE HELP IM GONNA FART HELP ME what is the prime exponent form of 192
Answer:
2^6 * 3
Step-by-step explanation:
Answer:
2^6x3
Step-by-step explanation:
its 2 to the power of 6. Then multiply it by 3
Metals Inc. needs 20 tons of iron, 15 tons of copper, and 8 tons of zinc to fill as particular order. They have two type
of are available. Type A, which contains 15% iron, 5% coper, and 2% zinc costs $30 per ton. Type B which contains
10% iron, 10% copper, and 8% zinc costs $40 per ton. How much of each type should they use to minimize the cost?
What is the minimum cost?
Answer:
see the photos
Step-by-step explanation:
I have given the answer
4x + 4(3 - 2×) = 2(4x + 2)/4 + 5
Solve this equation
Answer:
x=1
Step-by-step explanation:
Factor out the common term 22.
4x+4(3-2x)=2\times \frac{2(2x+1)}{4}+5
4x+4(3−2x)=2×
4
2(2x+1)
+5
2 Simplify 2\times \frac{2(2x+1)}{4}2×
4
2(2x+1)
to 2x+12x+1.
4x+4(3-2x)=2x+1+5
Simplify 2x+1+5 to 2x+6.
4x+4(3-2x)=2x+6
Expand.
4x+12-8x=2x+6
Simplify 4x+12-8x to -4x+12.
-4x+12=2x+6
Add 4x to both sides.
12=2x+6+4x
Simplify 2x+6+4x to 6x+6.
12=6x+6
Subtract 6 from both sides.
12-6=6x
Simplify 12−6 to 6.
6=6x
Divide both sides by 6
1=x
Switch sides.
x=1
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
Find the area of this Parallelogram.
Chong thinks of a Number adds 10 and then multiplies the number so obtained by 3, and get 42. If the number is n then write an equation for this
Answer:
The equation for this is: [tex]3(n+10) = 42[/tex]
Step-by-step explanation:
We have that the number though is n.
Adds 10:
This means that now we have: [tex]n + 10[/tex]
Multiplies by 3:
This means that now we have: [tex]3(n+10)[/tex]
Gets 42:
This means that: [tex]3(n+10) = 42[/tex]
25. The width of a rectangle is (x+1) and the length is (X-6). What is the length and width of the rectangle if the area is
30 square feet?
Answer:
x=−4 or x=9
Step-by-step explanation:
1- As we know the formula for Area of rectangle = length x width
2- Multiply given width = (x+1) with length = (x-6)
3-Equation will be (x+1)(x-6) = 30
4- Solving x^2−5 x−6 = 30
5- x^2−5 x -36 = 0
6-Factor left side of equation.
(x+4)(x−9)=0
Set factors equal to 0.
x+4=0 or x−9=0
Answer:
length = 3 width = 10
Step-by-step explanation:
Can someone help me out, please.......
Answer:
i am thinking it is 0 (if i get it wrong i am sorry)
Step-by-step explanation:
A diagonal of a television screen measure 30 inches. The screen is 18 inches tall,as shown. which expression is equal to the length of the television screen in ,inches
Answer:
24 inches
Step-by-step explanation:
The television is a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in no particular order hence we can use Pythagoras theorem to find the length.
Recall that the theorem states that
opposite side^2 + adjacent side^2 = hypotenuse side^2
let the length of the television screen be L
L^2 + 18^2 = 30^2
L^2 + 324 = 900
L^2 = 900 - 324
L^2 = 576
L = √576
= 24 inches
Andrew goes to the shop to buy some apples and bananas.
He goes to purchase 5 apples and 4 bananas, and the total comes to $ 5.70.
Unfortunality, he doesn’t have enough money, so he puts back 1 apple and 2
bananas.
The new total is $ 3.60. What is the cost of 1 apple and the cost of 1 banana?
b. Andrea’s budget is $6. If she buys equal number of apples and bananas, then
what is the maximum number of apples and bananas, she can buy?
Answer:
a. The price of an apple is $0.5 and that of a banana is $0.8
b. 4
Step-by-step explanation:
Form simultaneous equations from the information.
For 5 apples and 4 bananas, and the total comes to $ 5.70 this can be;
5 a + 4 b = $5.70----------i
After he puts back 1 apple and 2 bananas, the equation will be;
4 a + 2 b = $3.60 -------------ii
Solve the two equations simultaneously as;
{5 a + 4 b = 5.70 }4 ---------making the a terms equal to eliminate them
{4 a + 2 b = 3.60}5
20 a + 16 b = 22.80 -------subtract the b terms
20 a + 10b = 18.00
6 b = 4.80
b= 4.80/ 6
b=$ 0.8
Using equation i :
5a + 4b =$5.70
5a + 4*0.8 = 5.70
5a + 3.2 = 5.70
5a = 2.5
a = 2.5 / 5
a=$0.5
The price of an apple is $0.5 and that of a banana is $0.8
b.
Let the number of apples be ------x
Let the number of bananas be-----x
This is because the target is equal numbers;
Form an equation for total cost as;
0.5 x + 0.8 x = $6
1.3 x = 6
x = 1.3 / 6 = 4.62
Maximum number of bananas to buy = 4
Maximum number of apples to buy = 4
However, he will have $0.8 remaining
Using the following image, determine if the triangles are similar. If so, how?
Not Similar
SSS
AA~
SAS
PLEASE HELP ME QUICK
Lori tosses a ball into the air. The equation y = –16(x – 1)2 + 25 models the height, y, in feet, of the ball after x seconds. What is the maximum height the ball reaches?
1 ft
9 ft
16 ft
25 ft
Answer: D. 25 ft
Step-by-step explanation:
When graphing a parabola in the format [tex]y = a(x-h)^2+k[/tex], know that:
if a is positive, the parabola points upwards (meaning that there is only a minimum value, no maximum exists) if a is negative, the parabola points downwards (there is a maximum, but no minimum)You can try playing around with these values on a graphing calculator like Desmos!
In both cases, k would be the minimum or maximum value.
For this problem, k = 25. So, the maximum is 25 ft.
Additional information:
the parabola equation is in vertex form, so (h, k) is the vertexI need help with this problem ASAP
Answer:
b
Step-by-step explanation:
stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the account balance be after 13 years?
Answer:
7103.98
Step-by-step explanation:
1) 3991 × 6% = 239.46 intrest rate of a year
2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs
3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs
I need help with this it’s timed
Answer:
Option 3
Step-by-step explanation:
The coordinates match it
____ is the additional sum of money expected from an investment over and above the orginal investments.
Answer:
interest is the additional sum of money
write the interval expressing all real numbers less than or equal to 0 or greater than or equal to 1 using interval notation.
Answer:
The requited interval is:
(-∞, 0] U [0, ∞)Step-by-step explanation:
We have to write two intervals in our case:
The first interval must highlight all real numbers less than or equal to 0.
Therefore,
This interval starts at -∞ and ends at 0, which is written as: (-∞, 0]
The second interval must highlight all real numbers greater than or equal to 0.
Therefore,
This interval starts at 0 and ends at ∞, which is written as: [0, ∞)
But, we have to combine these two sets. We can achieve this by placing the union symbol 'U' between the two intervals.
Therefore, the requited interval is:
(-∞, 0] U [0, ∞)Examine the following graph of y=1/4x+2 Created using GeoGebra If the point (-4, b) is on this line, what is the value of b? Enter your answer
Answer:
1
Step-by-step explanation:
it's given that x=-4
so
y=¼×-4+2
y=-1+2
y=1
therefore
b=1
you can see similar question in my profile
Which equation represents a line parallel to the lines whose equation is y= 2x-7
Which is the image of P(4, 7) after a translation along < 1, 3 >?
Given:
The point is located at P(4,7).
It is translated along [tex]\left<1,3\right>[/tex].
To find:
The image of the given point after the translation.
Solution:
The point is translated along [tex]\left<1,3\right>[/tex]. So, the rule of translation is defined by:
[tex](x,y)\to (x+1,y+3)[/tex]
The point is located at P(4,7).
Using the above rule, we get
[tex]P(4,7)\to P'(4+1,7+3)[/tex]
[tex]P(4,7)\to P'(5,10)[/tex]
The image of given point after the translation is (5,10).
Therefore, the correct option is A.
Consider the following navigation scenario. A ship on the open ocean is traveling in the direction shown below. On a coordinate plane, a vector goes up and to the right in quadrant 1 and forms a 30 degree angle with the y-axis. How would the captain report his navigational vector as a bearing? N60˚E E60˚N N30˚E E30˚N
Answer: C. N30degrees E
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edg 2023
1/4 of my money is 8.00.what is 1/8 of my money
Answer: 4.00
Step-by-step explanation:
A recipe requires 1/4 of a cup of cranberries for 1 batch of scones how many batches of scones can be made using 6 1/2
Answer:
26
Step-by-step explanation:
6 times 4 =24 then 4/1 times 1/2 = 4/2 equals 2 and then you add 2 to 24 and that is 26.
Answer:
26
Step-by-step explanation:
If 1/4 of a cup of cranberries and make 1 batch, and there are four 1/4 cups in a whole cup, then 1 cup of cranberries can make 4 batches of scones.
By that same logic, there are two 1/4 cups in 1/2 a cup, so 1/2 cup of cranberries can make 2 batches of scones.
So, with the knowledge that 1 cup of cranberries makes 4 batches of scones, 6 cups of cranberries can make 6 x 4 = 24 batches, and adding on 1/2 cup gives us 2 more batches for a total of 24 + 2 = 26 batches.
Which phrase represents the expression 3x +9
Answer:
three multiplied by a number + 9
Step-by-step explanation:
In Mrs. Harrelson's English class, 15 out of 25 students made an "A" on their research paper, and 5 students made a "B." What decimal represents the portion of students that made at least a "B" on the research paper?
Answer:
0.2 tehe
Step-by-step explanation:
(x + 2y – 2z) – (2x – 5y – 6z) is equivalent to...?
The Expression (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
(x + 2y – 2z) – (2x – 5y – 6z)
so, (x + 2y – 2z) – 2x + 5y + 6z
= ( x- 2x) + (2y+ y)+ ( 6z- z)
= -x + 3y + 5z
Hence, (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ6
