Step-by-step explanation:
let the larger number = a,
and the smaller one = b.
a - b = 5 ==> a = b+5
2a + b = 7
2(b+5) +b=7
2b+10+b=7
3b= 7-10
3b = -3
b = -1
a = -1+5 = 4
Two jackets have a combined cost of $98. Jacket a costs $12 less than jacket b. How much does each jacket cost?
Answer:
Jacket A costs 43$
Jacket B costs 55$
Step-by-step explanation:
According to the Question,
Given, Two jackets have a combined cost of $98. Jacket 'A' costs $12 less than jacket 'B'. Thus, if the jacket B Cost 'X' So, Jacket A costs 'X-12'.Therefore, Jacket A + Jacket B = 98
X-12+X = 98
2X = 110
X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .
What is the vertex of the parabola with the equation y
3x2 + 2x – 8?
Answer:
Step-by-step explanation:
If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:
[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:
[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.
[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get
[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:
[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is
[tex](-\frac{1}{3},-\frac{25}{3})[/tex]
Help, please :)
I really appreciate if you help me with steps as well, thanks! <3
Answer:
Step-by-step explanation:
All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:
[tex]AL=\frac{\theta}{360}*2 \pi r[/tex] and filling in:
[tex]8.73=\frac{\theta}{360}*(2)(3.14)(10)[/tex] which simplifies to
[tex]8.73=\frac{62.8\theta}{360}[/tex] which simplifies a bit more to
[tex]\frac{360(8.73)}{62.8}=\theta[/tex] so
[tex]\theta=50.04[/tex] degrees. That means that arc DE also measures 50.04 degrees.
Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges. Write a formula that will help her determine how much she will make in a week. Let's Let a= total amount earned, h= hours worked in one week, n= number of bouquets she arranged, and b= bonus amount for bouquets
Answer: a = 7.5h + bn
Step-by-step explanation:
Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
where,
a = total amount earned,
h= hours worked in one week,
n = number of bouquets she arranged
b= bonus amount for bouquets
Then, the formula that will help her determine how much she will make in a week will be:
a = (7.5 × h) + (b × n)
a = 7.5h + bn
The formula is a = 7.5h + bn.
CAN ANYONE SOLVE THIS QUICK!
Answer:
52.8
Step-by-step explanation:
We take the midpoint of the range as, x
Midpoint = (lower + upper) /2
Midpoint, x ___ Frequency, F
15 ___________ 7
45 __________27
75 __________12
105 __________4
The mean :
Σfx / Σf
= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)
= 2460 / 50
= 52.8
23.45+ 435.1 =??? plz help me
Answer:
458.55
Step-by-step explanation:
23 + 435 = 458
.45 + .1(0) = .55
458 + .55 = 458.55
.1 is .10 (Think of it as a 10)
find the surface area and volume of each figure Write an equation for each of the following images giving brainliest i really need this please help
Answer:
1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58
Step-by-step explanation:
1) Surface area of a cuboid = 2(lb + bh + hl)
= 2(6*4 + 4*3 + 3*6)
= 2(24 + 12 + 18)
= 2*54
= 108 square units ------- (1)
Volume of a cuboid = lbh
= 6*4*3
= 72 cube units ----------- (2)
2) Surface area = (1) - specific surface area
Specific surface area
=2(2*6 + 6*1 + 2*1)
=2(12 + 6 + 2)
=2*20
=40 square units
Therefore surface area = 108 - 40 = 68 square units --------- (3)
Volume = (2) - specific volume
Specific volume
=l*b*h
=2*6*1
=12 cube units
Volume = 72 - 12 = 60 cube units ---------- (4)
3) Surface area = (3) - specific surface area
Specific Surface Area
2(2*4 +2*1 + 4*1)
2(8 + 2 + 4)
2(14)
28 square units
Surface area = 68 - 28 = 40 square units
Volume = (4) - specific volume
Specific volume
= 1*2*4
= 8 cube units
Volume = 60 - 8 = 52 cube units
I really hope that u understood all these shortcuts
Please mark as brainliest
Thank You
PLEASE HELP IM SORRY THE PIC IS BLURRY I NEED TO PASS SUMMER SCHOOL
Aswer:
c represnt the function hope it helps you make me brainlest pls
What measure is represented by 17 feet in the figure below?
A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
the diameter goes straight through the center of the circle
Find m angle f.
A. 88
B. 28
C. 62
D. 70
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x - 2?
Answer:
I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
The answer;
C. y>= 2
The choose ( C)
Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^12
The 2 is the base and the 12 is the exponent
could anyone help me with this?
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
This is another one same thing but not the same problem
#1 is a. 11.25
#2 is h. 375
#3 is B 82.50
How many solutions does this have?
y=5x+-2
y=5--2x
Answer:
one solution (2.333, 9.6666)
Step-by-step explanation:
The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x
5x +-2 = 2x + 5 Write the left with 1 sign
5x - 2 = 2x + 5 Subtract 2x from both sides
2x 2x
3x - 2 = 5 Add 2 to both sides
2 2
3x = 7 Divide by 3
x = 7/3
x = 2 1/3
y = 5x - 2
y = 5(2 1/3) - 2
y = 11 2/3 - 2
y = 9 2/3
Please help me solve my problem!!!
I have no clue Someone Please Help!!!!!
Answer:
D
Step-by-step explanation:
we have to see the value of y on x=-2
which is 2
so g(-2)=2
Help! these is 1 question this time and these are my last points! so please help this all I have to do today (DUE today) ty take ur time and have a great day luvs<3! (for people who can’t see clearly) ;Kelli has two pitchers of water. The blue pitcher holds 3 liters of water. The red pitcher holds 2,800 millimeters. Which pitcher has the greater liquid volume? How do you know?;
Answer:
The blue pitcher
Step-by-step explanation:
2,800 ML= 2.8 liters
Match the probability to the word or phrase that best describes the probability.
1/4 the choices are certain, unlikely, likely, impossible, Equally likely.
0 the choices are certain, unlikely, likely, impossible, Equally likely.
5/10 the choices are certain, unlikely, likely, impossible, Equally likely.
100% the choices are certain, unlikely, likely, impossible, Equally likely.
75/100 the choices are certain, unlikely, likely, impossible, Equally likely.
if you can please please help
what is 200 + 30 - 60 + 70 - 20
Answer:
220
Use PEMDAS
given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6
Answer:
y = 3
Step-by-step explanation:
y , 2 , 4 , 5 , 7, 9
Mean = 5
[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]
Find x. Round your answer to the nearest tenth of a degree
Answer:
58.3
Cos(x) = adjacent / opposite
Cos(x) = 10/17
Sin(x) = 0.59
Sin-1(0.59) = 53.8
HELP pls help me with this problem.
Answer:
8units
Step-by-step explanation:
area of a triangle=1/2base x height
1/2×4×4
2×4
8units
Math doesn't suit me; I have to cooperate with it.
Answer:
200 vs 230
$30
Step-by-step explanation:
solve for x and y, round to one decimal place
Answer:
x=48
y=50
Step-by-step explanation:
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Paulo comprou 60 maçãs e 24 laranjas. Ele pretende organizar essas frutas em embalagens plásticas. Em cada embalagem plástica ele colocará apenas um tipo de fruta e na maior quantidade possível, para que todas as embalagens fiquem com a mesma quantidade de frutas. Qual a quantidade de embalagens plásticas que Paulo irá precisar para organizar essas frutas? 7. 12. 84. 120.
Responder:
7
Explicação passo a passo:
Obtemos o maior fator comum de ambas as frutas:
Apple = 60
Laranja = 24
Fatores de:
60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60
24 = 1, 2, 3, 4, 6, 12 e 24
O maior fator comum é 12
Por isso,
Número de malas necessárias para:
Maçãs = 60/12 = 5
Laranjas = 24/12 = 2
Total de sacos plásticos necessários = 5 + 2 = 7
Which points are solutions to the system of inequalities shown below?
Check all that apply.
у< x
y< 5
X<4
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
Answer:
A. (3,0)
D. (0,-1)
E. (2, 1)
Step-by-step explanation:
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
у< x #############################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
y< 5 ####################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
X<4 ###################
A. (3,0)
D. (0,-1)
E. (2, 1)