Answer:
A plate costs £4
Step-by-step explanation:
Let us represent the cups by c and the plates by variable p
Thus mathematically from the statements;
2c + 3p = 18. ••••••• (i)
secondly
5c + p = 19 •••••••••(ii)
so we want to find the value of p
Let’s multiply equation i by 5 and ii by 2
we have;
10c + 15p = 90
10c + 2p = 38
Now subtract equation ii from i
13p = 52
p = 52/13
p = 4
m 1 = a) 40 b) 130 c) 50
Answer:
A) 40
Step-by-step explanation:
The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:
[tex]\angle 1=180-90-50=40^{\circ}[/tex]
Hope this helps!
Answer:
<1 = 40
Step-by-step explanation:
Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines
Which of the following equations is the translation 2 units up of the graph of y = |x|?
A. y = |x| - 2
B. y = |x| + 2
C. y = |x + 2|
D. y= |x - 2|
Answer:
its y = |x| + 2
Step-by-step explanation:
2x + 3y = 13
4x - y = -2
Answer:
x=1/2. y=4
Step-by-step explanation:
4(2x+3y=13)=8x+12y=52
2(4x-y=-2)=8x-2y=-4
subtract equation one from equation two to get
14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one
Answer:
x = 1/2 y = 4
Step-by-step explanation:
Equation 1
2x + 3y = 13
Equation 2
4x - y = -2
Multiply equation 2 by 3
12x - 3y = -6
Add equation 1 to 3
14x = 7
x = 7/14
x = 1/2
Substitute x into equation 1
2(1/2) + 3y = 13
3y = 13 -1
3y = 12
y= 12/3
y = 4
x =1/2 y = 4
Hope this helps.
What is the domain of g(x)?
Answer:
-2 ≤x≤5
Step-by-step explanation:
The domain is the inputs
The lowest value of x is -2 and every value of x is valid up to 5
-2 ≤x≤5
What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?
x = –5
x = –3
x = 5
x = 3
Answer:
-3
Step-by-step explanation:
choose all functions below that have a vertex of (4.5,-8)
Answer: Answer: A
Explanation:
Just plug in numbers since you know the unknown values,
x + r = 4 + 5
4 + 5 = 9
Step-by-step explanation:
An account pays 7%per year simple interest. In 1 year, the amount in the account is 950. How much is in the account in year 6
Answer:
First year's interest is already given.
There are 5 more payments of interest
= 5 * 0.07 * 950 = 332.5
so amount in the account after 6 years = 950 + 332.5 = 1282.5
Answer:
The answer is 1282.50
Step-by-step explanation:
Can someone answer this question thanks
Answer:
80 = x
Step-by-step explanation:
The base angles are the same if the side lengths are the same
The unmarked angle is 50 degrees
The sum of the angles is a triangle is 180 degrees
180= 50+50+x
180 = 100 +x
180 -100 = 100+x-100
80 = x
Answer:
80°
Step-by-step explanation:
In an isosceles triangle, if the two sides are the same length, then the two angles formed on the base line are equal.
The other angle on the base line is also equal to 50°.
Angles in a triangle add up to 180°.
x° + 50° + 50° = 180°
x° + 100° = 180°
x° = 180° - 100°
x° = 80°
Which graph shows the line y = 2x + 3?
Answer: Graph D
Step-by-step explanation:
The slope is 2
x goes after the slope in graph functions
The line goes through 3 on the y-axis so that’s where + 3 comes in.
2x + 3
Important!!!
That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units
Answer:
4 units
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4 units
Answer:
4 units
Step-by-step explanation:
if you graph these 2 points, they'll be on the same line of the graph separated by 4 units
On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4. Write a mathematical statement that represents the situation and determine the price at the end of the week.
Answer:
The price at the end of the week is $33.
Step-by-step explanation:
We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.
The price of a company’s stock on Monday = $30 per share
So, the mathematical statement that represents the situation is given by;
Price of company’s stock on Monday = $30
On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday
= $30 - $3 = $27
On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday
= $27 + $7 = $34
On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday
= $34 + $3 = $37
On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday
= $37 - $4 = $33
Hence, the price at the end of the week is $33.
can i have help thanks
Answer:
∠ BOC = 42°
Step-by-step explanation:
Since OA and OC are perpendicular , that is at 90° to each other, then
∠ AOB + ∠ BOC = 90 , substitute values
5x + 8 + 6x - 6 = 90
11x + 2 = 90 ( subtract 2 from both sides )
11x = 88 ( divide both sides by 11 )
x = 8
Thus
∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°
solve the equation (X-1) (2x+5)=0
Answer:
x = -5/2
x = 1
Step-by-step explanation:
(x-1) (2x+5) = 0
Divide both sides by (x-1)
2x+5 = 0
Subtract 5 on both sides.
2x = -5
Divide 2 into both sides.
x = -5/2
(x-1) (2x+5) = 0
Divide both sides by (2x+5).
x - 1 = 0
Add 1 to both sides.
x = 1
Which of the statements is true please show work
Answer:
f(4)>g(4)
Step-by-step explanation:
f(x)=3x^5 , f(4)= 3072
g(x)=11*4^x when x=4 then g(4)=2816
Please answer this ASAP ❤️
Answer:
4
Step-by-step explanation:
just change the x into -6
-(-6)-2 = 6 - 2 = 4
Answer:
f(x)=-x-2
f(-6)=-(-6)-2
f(-6)=4
Step-by-step explanation:
Circumference of circles
Answer:
The circumference formula is 2πr and we know r = 1 so the answer is 2π.
Answer: 6.28 feet
Step-by-step explanation:
The formula for circumference is C= πd Diameter is radius times two. So use a value of π which is usually 3.14 or 3.1416 for practical purposes. Multiply by the diameter. 3.14×2=6.28.
In 1995 the USPS approximated that they handled 1.8 x 10^11 pieces of mail. In 2010 the USPS reported that they handled 1.7x10^11 pieces. How many more pieces of mail were handled in 1995 than 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.
Anybody know this ? Please help :(
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...
Find the values of x and y in triangle ABCD
Answer:
x and y = 66.5
Step-by-step explanation:
180-47=133
133/2=66.5
Multiply 8/11 by the reciprocal of -16/121
Answer: -11/2
Step-by-step explanation:
First, find the reciprocal of -16/121. Which is -121/16 (you can put the negative sign anywhere). Now, you must multiply the two fractions:
[tex]\frac{8}{11} *-\frac{121}{16}[/tex]
You can cross out the terms 8 and 16 because they can be simplified into 1 and 2. And you can cross out 11 and -121 because they can be simplified into 1 and -11:
= [tex]\frac{1}{1} * -\frac{11}{2}[/tex]
Now multiply the numerators together, and multiply the denominators:
= [tex]-\frac{11}{2}[/tex]
Is the following statement true or false? The intersection of a plane and a ray can be a line segment.
Answer:
False
Step-by-step explanation:
Is the following statement true or false?
The intersection of a plane and a ray can be a line segment.
It is false. Correct one is the point.expand the following 5( 2x -4 )
Answer:
10x-20
Step-by-step explanation:
5(2x-4)
5x2=10
5x4=20
Based on the given angle measures, which triangle has side length measures that could be correct? A right triangle is shown. The length of the hypotenuse is 16, the base is 8, and the other side is 13.9. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 13.9, the base is 8, and the other side is 16. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 13.9, the base is 16, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees. A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.
Answer:
A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.
Step-by-step explanation:
The measures of the angles of in a triangle should correspond to the length size of the side opposite each angle in a triangle.
In simple terms, this means that the larger the measure of an angle, the longer the length of the side opposite that angle. Therefore, the smallest measure of an the 3 angles in the triangle should correspond with the shortest length.
Therefore, the triangle with the correct side length would be "A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees." Check the attachment below to see how each side length corresponds with each angle opposite them.
Answer:
D
Step-by-step explanation:
your welcome
Which symbol would make the statement TRUE?
-3/4
-0.75
A. <
B. >
C. =
D. none of the above
Answer: C
Step-by-step explanation: -3/4 is equal to -.75 ,
What is the value of X in the given right triangle? WILL GIVE BRAINLIEST!
Answer:
Please mark me brainliest and I hope this helped!
x = 45
Step-by-step explanation:
In this case, we can use the Pythagorean Theorem to figure out the other side of the triangle.
c squared - a squared = b squared
10 squared - 7 squared = b squared
100 - 49 = b squared
51 = b squared
7.14 = b
Now that we know the other side is about 7, we can assume that x is equal to the angle between 10 and 7. So x equals 45.
Evaluate xy - y if x=6 and y=-5
Answer:
-25
Step-by-step explanation:
xy - y
Replace 'x' with 6, and 'y' with -5:
[tex]6(-5)-(-5)\\\\-30+5\\\\\boxed{-25}[/tex]
What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2
Make two shapes out of it.
The bottom is a rectangle 14 x 5 = 70 square cm
The top is a triangle 1/2 x 12 x 5 = 30 square cm
Total area = 70 + 30 = 100 square cm
Answer:
100 cm²
Step-by-step explanation:
The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.
The area of the triangle:
b × h × 1/2
(14 - 2) × 5 × 1/2
60 × 1/2
= 30 cm²
The area of the rectangle:
l × w
14 × 5
= 70 cm²
Add the areas of the two shapes.
30 cm² + 70 cm²
= 100 cm²
The area of the composite shape is 100 cm².
The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle
Answer:
29:21
Step-by-step explanation:
The ratio of the diagonal to the base of the rectangle is 58:42
The ratio can be simplified further.
The simplified ratio is 29:21.
Can someone please help me with this geometry question
Answer:
A. q = 39
Step-by-step explanation:
Since the lines are parallel, their sides will be proportional,
So,
Taking their proportion
=> [tex]\frac{60}{40} = \frac{q}{26}[/tex]
Cross Multiplying
q × 40 = 26 × 60
q = [tex]\frac{1560}{40}[/tex]
q = 39
th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....
Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7