The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.
<h3>What are the linear equations that represent this question?</h3>
j + t = 33 equation 1
4t = 2j
j = 2t equation 2
Where:
j = number of jolly rangers
t = j = number of twix
<h3>How many twix candies does Julianna have?</h3>
Substitute for j in equation 1 using equation 2
2t + t = 33
3t = 33
t = 11
<h3>How many jolly candies does Julianna have?</h3>
Subsitute for t in equation 2
j = 11 x 2 = 33
To learn more about simultaneous equations, please check: brainly.com/question/25875552
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Answer: The number of books she should put on each shelf = 7
Step-by-step explanation:
Given: Total books = 116
Total shelves = 16
To determine : The number of books she should put on each shelf, we first divides the total number of books by the total shelf.
So she can put 7 books in each shelf such that (7x16=) 112 books got placed and (116-112=)4 books left.
Hence, The number of books she should put on each shelf = 7.
Step-by-step explanation:
just minus 100 out of the percentage
for example 20% is 100 - 20 = 80
Answer:
69 estudiantes.
Step-by-step explanation:
Sabemos que el número total de estudiantes en primer grado es 184.
También sabemos que la relación entre los que usan anteojos y los que no es 3/5.
Esta relación es igual al cociente entre el número de estudiantes que usan anteojos y el número de estudiantes que no usan anteojos.
Si definimos las variables:
A = número de estudiantes que usa anteojos
B = número de estudiantes que no usa anteojos.
Tenemos la relación:
A/B = 3/5
podemos reescribir como:
A = (3/5)*B
Y también sabemos que el número total de estudiantes es 184, entonces tendríamos que:
A + B = 184.
Podemos aislar B en esta segunda ecuación para luego reemplazarlo en la primera.
Aislando B obtenemos:
B = 184 - A
Si reemplazamos esto en la otra ecuación obtenemos:
A = (3/5)*B
A = (3/5)*(184 - A)
Ahora podemos resolver esto para A.
A = (3/5)*184 - (3/5)*A
A + (3/5)*A = (3/5)*184
A*(1 + 3/5) = (3/5)*184
A*(5/5 + 3/5) = (3/5)*184
A*(8/5) = (3/5)*184
A = (5/8)*(3/5)*184
A = 69
Podemos concluir que 69 estudiantes usan anteojos.
Answer:
The answer is (a) ⇒ x = 3.5
Step-by-step explanation:
In ΔABZ use the sin rule to find ∠ABZ and ∠BAZ
∵ AB/sin50° = AZ/sin∠ABZ
∴ 8.8/sin50° = 4.79/sin∠ABZ
∴ sin∠ABZ = (4.79 × sin50) ÷ 8.8
∴ sin ABZ = 0.416971
∴m∠ABZ = 24.64°
∴ m∠BAZ = 180 - (50 + 24.64) = 105.36°
In ΔABZ use the cosine rule to find BZ
(BZ)² = (BA)² + (AZ)² - 2(BA)(AZ)cos∠BAZ
∵ (BZ)² = (8.8)² + (4.79)² - 2(8.8)(4.79)cos105.36°
∴ (BZ)² = 122.7147953
∴ BZ = 11.078
Use the cosine rule in ΔCBZ to find CZ
(CZ)²= (BC)² + (BZ)² - 2(BC)(BZ)cos∠B
∵ (CZ)² = (4.79)² + (11.078)² - 2(4.79)(11.078)cos39²
∴ (CZ)² = 63.18982803
∴ CZ = 7.949
∵ CZ = 2x + 1
∴ 2x + 1 = 7.949
∴ 2x = 7.949 - 1 = 6.949
∴ x = 6.949 ÷ 2 = 3.47 ≅ 3.5
