Answer:
Alex is 7, Bella is 11, and Carla is 14
Step-by-step explanation:
Equation is 32=y+2y+(y+4)
To solve:
First combine like terms (the y's)
32=4y+4
Subtract 4 from both sides
28=4y
Divide both sides by 4 to get y alone
7 =y (Alex's age)
Bella is 4 years older than Alex so 7+4 = 11
Carla is 2 times older than Alex so 2 • 7 = 14
Their ages are supposed to add up to 32.
7+11+14
18+14
32
4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
Complete question :
Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.
(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.
Answer:
y = 17x + 5 ;
9 bracelets ;
Sarah is right
Step-by-step explanation:
Contents per bracelet :
Small charms per bracelet = 12
Large charms per bracelet = 5
Blank spacer charms per order = 5
Number charms, y needed for X bracelets in an order ;
1 order ; x bracelets
12 + 5 = 17 small and large charms
5 = black spacer charms per order
y = 17x + 5
B.)
Order requiring 158 charms, number of bracelets :
y = 158
158 = 17x + 5
158 - 5 = 17x
153 = 17x
x = 153 / 17
x = 9 bracelets
Order requiring 264 charms
y = 264
264 = 17x + 5
264 - 5 = 17x
259 = 17x
x = 259 / 17
x = 15.23 bracelets
Sarah is right, the number of bracelets should be a positive integer and not a decimal.
8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4
Answer:
0 1.4 is the answer
Step-by-step explanation:
well if you round thats why
Answer:
71.4
Step-by-step explanation:
Looked it up
What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income
Answer:
multiply 63280 by 1.5% (.015). The answer is $949.20
Step-by-step explanation:
Find the value of x
x°
66°
117°
Answer:
x = 51 degrees
Step-by-step explanation:
Keep in mind, the angles of a triangle add up to 180 degrees.
A flat line also equals 180 degrees.
First, we should find the lower left angle. We know that 117 plus that angle is going to be 180, since it's a flat line.
180 - 117 = 63
Now, we just need to find angle x. (All 3 of our angles should add up to 180, knowing this, we can put it in an equation)
63 + 66 + x = 180
Then, you solve for x:
(63+66) + x = 180
129 + x = 180
-129 -129
x = 51
Hope this helps :)
SOMEONE PLEASE HELP!!!!!
Answer:
the answer is A and B
Step-by-step explanation:
hope it helps
Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
in angle abcd if b=50 find the other angles
Answer:
angel abcd is not possible
Answer:
can u show the angels?
Step-by-step explanation:
Helpppppppp pls help .
Answer: X= 1 2 3 4 Y= 5 8 11 14
Step-by-step explanation: i tried my best
The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
Step-by-step explanation:
let the ratio be x
now,
3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)
30x=360°
x=360/30
x=12°
then,
3x=3×12=36°
5x=5×12=60°
9x=9×12=108°
13x=13×12=156°
so,the angles of quadrilateral are 36°,60°,108°& 156°
hope it helps.
A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.
How many days, x, will it take the kitten to double its weight? Write and solve the equation.
Answer:
9 days
Step-by-step explanation:
Answer:
180=90+10x X = 9 days
Step-by-step explanation:
Helpppp?? I need help on this cause I just don’t wanna solve it
Answer:
3 and 3/5
Step-by-step explanation:
Mr.Jessup, an airplane pilot, flies 1,450 miles a day. How many miles will he fly in 8 days? Why?
Answer: Mr. Jessup will fly 11,600 miles in 8 days. This is because if he flies 1,450 miles a day, and he flies in 8 days, just multiply 1,450 and 8.
Step-by-step explanation:
The cactus grill has decided to run a special on Wednesday night where every table gets 10% off their bill find the total for this table
4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)
(This is Trigonometry)
please can someone help me with this
Answer:
Too blurry to read
Step-by-step explanation:
The values of given bases is 1559, 3139, 648 and 170.
We are given that;
The four equations
Now,
a) 66+9t9+48 (base twelve)
[tex]= 6×12¹+6×12⁰ + 9×12²+10×12¹+9×12⁰ + 4×12¹+8×12⁰[/tex]
= 72+6+1296+120+9+48+8
= 1559 (base twelve)
b) 5117-324 (base eight)
[tex]= 5×8³+1×8²+1×8¹+7×8⁰ - (3×8²+2×8¹+4×8⁰)[/tex]
= 3272 + 64 + 8 + 7 - (192 + 16 + 4)
= 3139 (base eight)
c) 242 x 14 (base five)
[tex]= (2x5² + 4x5¹ + 2x5⁰) x (1x5¹ + 4x5⁰)[/tex]
= (50 + 20 + 2) x (5 + 4)
= 72 x 9 =648 (base ten) = 10130(base five)
d) 101010111 (base two)
[tex]= 1x2⁷ + 0x2⁶ +1x2⁵ +0x2⁴ +1x2³ +0x2² +1x2¹ +0x2⁰[/tex]
=128+32+8+2=170 (base ten)
Therefore, by algebra the answer will be 1559, 3139, 648 and 170.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ4
Help I will be marking brainliest!!!!
A. 274
B. 300
C. 306
D. 316
Answer:
300 units
Step-by-step explanation:
Help please and tysm
6 x (5 + 4) - 3 - (2+1)
A 18
B) 30
C) 48
D) 54
Answer:
54
Step-by-step explanation:
STEW Merlin made 7
−
8
gallon of stew. Then he
ate 3
−
4
gallon of stew. How much stew was left over?
Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
Answer:
A) [tex]AC=DF[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Options
A) [tex]AC=DF[/tex]
B) [tex]AB=DE[/tex]
C) [tex]\angle B=\angle E[/tex]
D) [tex]\angle A=\angle D[/tex]
Required
Which does not prove the congruence of ABC and DEF using ASA?
From the attachment, we have the following:
[tex]\angle A = \angle D[/tex] --- Angle
[tex]AB = DE[/tex] --- Side
[tex]\angle B = \angle E[/tex] ---- Angle
The ASA theorem means that 1 side of both triangles are equal.
By comparing the listed parameter to the options, we can see that options B, C and D prove that both triangles are congruent by ASA.
However, option A [tex]AC=DF[/tex] cannot be used because that will mean that two sides of both triangles are equal. This does not support the ASA theorem
Lucy wasn't allowed to have any pets so she collected stuffed animals instead. She had 36 animals total. 3/12 of them were bears and 4/6 of them were dogs. What fraction of the animals were either dogs or bears?
HELP PLEASE!
The initial population of Rochester is 17,500 and is
projected to grow at a rate of 4.5% perdecade.
Write an expression for the projected population
of Rochester after “n” decades.
Answer:
Step-by-step explanation:
I still...really don't know
Choose the answer that best represents the situation described below. George is climbing a mountain. He knows that the higher the mountain, the more time the climb will take.
A. The time to climb the mountain is a function of climbing speed.
B. The height of the mountain is a function of climbing speed.
C. The time to climb in the function of its height.
Question below. Write an equation.
Answer:
16=3*2+5x
Step-by-step explanation:
3 is how many notebooks, 2 is cost per notebook, 5 is the cost of binders where x is the amount to bought, and 16 is how much you spent
Answer:
16 = 5x + 6
Step-by-step explanation:
You spend $16 on 3 notebooks and x binders. Notebooks cost $2 each and binders cost $5 each.
From this, we can see that our total amount of money spent is $16. This goes on one side of the equation.
T = 16
You have bought 3 notebooks that cost $2 each. An equation would be
n = 2x with x the number of notebooks bought. Plug 3 into x.
n = 2(3)
n = $6
You spent $6 on notebooks.
Your overall equation will be:
T = 5b + n
T is the total amount of money spent, x is the number of binders purchased, and n is the total amount of money spent on notebooks only.
Plug in the values you know.
16 = 5x + 6
To solve for x, subtract both sides by 6.
16 - 6 = 5x + 6 - 6
10 = 5x
Isolate x further by dividing both sides by 5.
x = 2
You bought 2 binders.
Hope this helps!
someone please explain how to make a fraction into a decimal im confused will give brainliest to best answer also worth 25 points
Answer:
divide the numerator by the denominator and it should give you a decimal
Answer:if u don't get it tell me.
Step-by-step explanation:
Please help anyone will give Points
Answer:
do the base are 3 then times that twice
Step-by-step explanation:
The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?
Answer:
3 1/2 slices each
Step-by-step explanation:
98/28=3.5
Answer:
Every student will get 3 to 4 slices of pizza
Step-by-step explanation:
This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.
Hope this helped
Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?
Responder:
240 huevos
Explicación paso a paso:
Número de cajas de huevos = 4
Huevos por caja = 50
Total de huevos en caja = 50 * 4 = 200 huevos
Número de cajas = 3
Número de huevos por caja = 10
Total de huevos en caja = 10 * 4 = 40 huevos
Huevos totales = (huevos en caja + huevos en cartón)
Total = (200 + 40) = 240 huevos
simplify e with an exponent of in6
Answer:
Step-by-step explanation:
I think the exponent is ln6, not in6.
e^(ln 6)= 6
The figure shows two lines cut by transversal.wich statement correctly explains why the two lines are parallel
Answer:
D
Step-by-step explanation:
This is because the angle are corresponding which mean they are on the same side and are the same number
Hope this Helped
My yard is 2730 square feet. It’s base is 65 feet. What is the height.
Answer: Your height is 42
Step-by-step explanation: 2730 divided by 65 would by 42
Answer:
area of rectangle is product of base×height.or length×breadth
area of rectangle= base ×height
2730 feet²=65×height
2730/65=height
42feet=height.